57 #define PY_SSIZE_T_CLEAN 60 #error Python headers needed to compile C extensions, please install development version of Python. 61 #elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000) 62 #error Cython requires Python 2.6+ or Python 3.3+. 64 #define CYTHON_ABI "0_29_14" 65 #define CYTHON_HEX_VERSION 0x001D0EF0 66 #define CYTHON_FUTURE_DIVISION 0 69 #define offsetof(type, member) ( (size_t) & ((type*)0) -> member ) 71 #if !defined(WIN32) && !defined(MS_WINDOWS) 83 #define DL_IMPORT(t) t 86 #define DL_EXPORT(t) t 89 #ifndef HAVE_LONG_LONG 90 #if PY_VERSION_HEX >= 0x02070000 91 #define HAVE_LONG_LONG 95 #define PY_LONG_LONG LONG_LONG 98 #define Py_HUGE_VAL HUGE_VAL 101 #define CYTHON_COMPILING_IN_PYPY 1 102 #define CYTHON_COMPILING_IN_PYSTON 0 103 #define CYTHON_COMPILING_IN_CPYTHON 0 104 #undef CYTHON_USE_TYPE_SLOTS 105 #define CYTHON_USE_TYPE_SLOTS 0 106 #undef CYTHON_USE_PYTYPE_LOOKUP 107 #define CYTHON_USE_PYTYPE_LOOKUP 0 108 #if PY_VERSION_HEX < 0x03050000 109 #undef CYTHON_USE_ASYNC_SLOTS 110 #define CYTHON_USE_ASYNC_SLOTS 0 111 #elif !defined(CYTHON_USE_ASYNC_SLOTS) 112 #define CYTHON_USE_ASYNC_SLOTS 1 114 #undef CYTHON_USE_PYLIST_INTERNALS 115 #define CYTHON_USE_PYLIST_INTERNALS 0 116 #undef CYTHON_USE_UNICODE_INTERNALS 117 #define CYTHON_USE_UNICODE_INTERNALS 0 118 #undef CYTHON_USE_UNICODE_WRITER 119 #define CYTHON_USE_UNICODE_WRITER 0 120 #undef CYTHON_USE_PYLONG_INTERNALS 121 #define CYTHON_USE_PYLONG_INTERNALS 0 122 #undef CYTHON_AVOID_BORROWED_REFS 123 #define CYTHON_AVOID_BORROWED_REFS 1 124 #undef CYTHON_ASSUME_SAFE_MACROS 125 #define CYTHON_ASSUME_SAFE_MACROS 0 126 #undef CYTHON_UNPACK_METHODS 127 #define CYTHON_UNPACK_METHODS 0 128 #undef CYTHON_FAST_THREAD_STATE 129 #define CYTHON_FAST_THREAD_STATE 0 130 #undef CYTHON_FAST_PYCALL 131 #define CYTHON_FAST_PYCALL 0 132 #undef CYTHON_PEP489_MULTI_PHASE_INIT 133 #define CYTHON_PEP489_MULTI_PHASE_INIT 0 134 #undef CYTHON_USE_TP_FINALIZE 135 #define CYTHON_USE_TP_FINALIZE 0 136 #undef CYTHON_USE_DICT_VERSIONS 137 #define CYTHON_USE_DICT_VERSIONS 0 138 #undef CYTHON_USE_EXC_INFO_STACK 139 #define CYTHON_USE_EXC_INFO_STACK 0 140 #elif defined(PYSTON_VERSION) 141 #define CYTHON_COMPILING_IN_PYPY 0 142 #define CYTHON_COMPILING_IN_PYSTON 1 143 #define CYTHON_COMPILING_IN_CPYTHON 0 144 #ifndef CYTHON_USE_TYPE_SLOTS 145 #define CYTHON_USE_TYPE_SLOTS 1 147 #undef CYTHON_USE_PYTYPE_LOOKUP 148 #define CYTHON_USE_PYTYPE_LOOKUP 0 149 #undef CYTHON_USE_ASYNC_SLOTS 150 #define CYTHON_USE_ASYNC_SLOTS 0 151 #undef CYTHON_USE_PYLIST_INTERNALS 152 #define CYTHON_USE_PYLIST_INTERNALS 0 153 #ifndef CYTHON_USE_UNICODE_INTERNALS 154 #define CYTHON_USE_UNICODE_INTERNALS 1 156 #undef CYTHON_USE_UNICODE_WRITER 157 #define CYTHON_USE_UNICODE_WRITER 0 158 #undef CYTHON_USE_PYLONG_INTERNALS 159 #define CYTHON_USE_PYLONG_INTERNALS 0 160 #ifndef CYTHON_AVOID_BORROWED_REFS 161 #define CYTHON_AVOID_BORROWED_REFS 0 163 #ifndef CYTHON_ASSUME_SAFE_MACROS 164 #define CYTHON_ASSUME_SAFE_MACROS 1 166 #ifndef CYTHON_UNPACK_METHODS 167 #define CYTHON_UNPACK_METHODS 1 169 #undef CYTHON_FAST_THREAD_STATE 170 #define CYTHON_FAST_THREAD_STATE 0 171 #undef CYTHON_FAST_PYCALL 172 #define CYTHON_FAST_PYCALL 0 173 #undef CYTHON_PEP489_MULTI_PHASE_INIT 174 #define CYTHON_PEP489_MULTI_PHASE_INIT 0 175 #undef CYTHON_USE_TP_FINALIZE 176 #define CYTHON_USE_TP_FINALIZE 0 177 #undef CYTHON_USE_DICT_VERSIONS 178 #define CYTHON_USE_DICT_VERSIONS 0 179 #undef CYTHON_USE_EXC_INFO_STACK 180 #define CYTHON_USE_EXC_INFO_STACK 0 182 #define CYTHON_COMPILING_IN_PYPY 0 183 #define CYTHON_COMPILING_IN_PYSTON 0 184 #define CYTHON_COMPILING_IN_CPYTHON 1 185 #ifndef CYTHON_USE_TYPE_SLOTS 186 #define CYTHON_USE_TYPE_SLOTS 1 188 #if PY_VERSION_HEX < 0x02070000 189 #undef CYTHON_USE_PYTYPE_LOOKUP 190 #define CYTHON_USE_PYTYPE_LOOKUP 0 191 #elif !defined(CYTHON_USE_PYTYPE_LOOKUP) 192 #define CYTHON_USE_PYTYPE_LOOKUP 1 194 #if PY_MAJOR_VERSION < 3 195 #undef CYTHON_USE_ASYNC_SLOTS 196 #define CYTHON_USE_ASYNC_SLOTS 0 197 #elif !defined(CYTHON_USE_ASYNC_SLOTS) 198 #define CYTHON_USE_ASYNC_SLOTS 1 200 #if PY_VERSION_HEX < 0x02070000 201 #undef CYTHON_USE_PYLONG_INTERNALS 202 #define CYTHON_USE_PYLONG_INTERNALS 0 203 #elif !defined(CYTHON_USE_PYLONG_INTERNALS) 204 #define CYTHON_USE_PYLONG_INTERNALS 1 206 #ifndef CYTHON_USE_PYLIST_INTERNALS 207 #define CYTHON_USE_PYLIST_INTERNALS 1 209 #ifndef CYTHON_USE_UNICODE_INTERNALS 210 #define CYTHON_USE_UNICODE_INTERNALS 1 212 #if PY_VERSION_HEX < 0x030300F0 213 #undef CYTHON_USE_UNICODE_WRITER 214 #define CYTHON_USE_UNICODE_WRITER 0 215 #elif !defined(CYTHON_USE_UNICODE_WRITER) 216 #define CYTHON_USE_UNICODE_WRITER 1 218 #ifndef CYTHON_AVOID_BORROWED_REFS 219 #define CYTHON_AVOID_BORROWED_REFS 0 221 #ifndef CYTHON_ASSUME_SAFE_MACROS 222 #define CYTHON_ASSUME_SAFE_MACROS 1 224 #ifndef CYTHON_UNPACK_METHODS 225 #define CYTHON_UNPACK_METHODS 1 227 #ifndef CYTHON_FAST_THREAD_STATE 228 #define CYTHON_FAST_THREAD_STATE 1 230 #ifndef CYTHON_FAST_PYCALL 231 #define CYTHON_FAST_PYCALL 1 233 #ifndef CYTHON_PEP489_MULTI_PHASE_INIT 234 #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000) 236 #ifndef CYTHON_USE_TP_FINALIZE 237 #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1) 239 #ifndef CYTHON_USE_DICT_VERSIONS 240 #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1) 242 #ifndef CYTHON_USE_EXC_INFO_STACK 243 #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3) 246 #if !defined(CYTHON_FAST_PYCCALL) 247 #define CYTHON_FAST_PYCCALL (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1) 249 #if CYTHON_USE_PYLONG_INTERNALS 250 #include "longintrepr.h" 255 enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P ==
sizeof(
void*)) };
258 #ifndef __has_attribute 259 #define __has_attribute(x) 0 261 #ifndef __has_cpp_attribute 262 #define __has_cpp_attribute(x) 0 264 #ifndef CYTHON_RESTRICT 265 #if defined(__GNUC__) 266 #define CYTHON_RESTRICT __restrict__ 267 #elif defined(_MSC_VER) && _MSC_VER >= 1400 268 #define CYTHON_RESTRICT __restrict 269 #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L 270 #define CYTHON_RESTRICT restrict 272 #define CYTHON_RESTRICT 275 #ifndef CYTHON_UNUSED 276 # if defined(__GNUC__) 277 # if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4)) 278 # define CYTHON_UNUSED __attribute__ ((__unused__)) 280 # define CYTHON_UNUSED 282 # elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER)) 283 # define CYTHON_UNUSED __attribute__ ((__unused__)) 285 # define CYTHON_UNUSED 288 #ifndef CYTHON_MAYBE_UNUSED_VAR 289 # if defined(__cplusplus) 290 template<
class T>
void CYTHON_MAYBE_UNUSED_VAR(
const T& ) { }
292 # define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x) 295 #ifndef CYTHON_NCP_UNUSED 296 # if CYTHON_COMPILING_IN_CPYTHON 297 # define CYTHON_NCP_UNUSED 299 # define CYTHON_NCP_UNUSED CYTHON_UNUSED 302 #define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None) 304 #ifndef _MSC_STDINT_H_ 306 typedef unsigned char uint8_t;
307 typedef unsigned int uint32_t;
309 typedef unsigned __int8 uint8_t;
310 typedef unsigned __int32 uint32_t;
316 #ifndef CYTHON_FALLTHROUGH 317 #if defined(__cplusplus) && __cplusplus >= 201103L 318 #if __has_cpp_attribute(fallthrough) 319 #define CYTHON_FALLTHROUGH [[fallthrough]] 320 #elif __has_cpp_attribute(clang::fallthrough) 321 #define CYTHON_FALLTHROUGH [[clang::fallthrough]] 322 #elif __has_cpp_attribute(gnu::fallthrough) 323 #define CYTHON_FALLTHROUGH [[gnu::fallthrough]] 326 #ifndef CYTHON_FALLTHROUGH 327 #if __has_attribute(fallthrough) 328 #define CYTHON_FALLTHROUGH __attribute__((fallthrough)) 330 #define CYTHON_FALLTHROUGH 333 #if defined(__clang__ ) && defined(__apple_build_version__) 334 #if __apple_build_version__ < 7000000 335 #undef CYTHON_FALLTHROUGH 336 #define CYTHON_FALLTHROUGH 342 #error "Cython files generated with the C++ option must be compiled with a C++ compiler." 344 #ifndef CYTHON_INLINE 345 #if defined(__clang__) 346 #define CYTHON_INLINE __inline__ __attribute__ ((__unused__)) 348 #define CYTHON_INLINE inline 352 void __Pyx_call_destructor(T& x) {
356 class __Pyx_FakeReference {
358 __Pyx_FakeReference() : ptr(NULL) { }
359 __Pyx_FakeReference(
const T& ref) : ptr(const_cast<T*>(&ref)) { }
360 T *operator->() {
return ptr; }
362 operator T&() {
return *ptr; }
363 template<
typename U>
bool operator ==(U other) {
return *ptr == other; }
364 template<
typename U>
bool operator !=(U other) {
return *ptr != other; }
369 #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag) 370 #define Py_OptimizeFlag 0 372 #define __PYX_BUILD_PY_SSIZE_T "n" 373 #define CYTHON_FORMAT_SSIZE_T "z" 374 #if PY_MAJOR_VERSION < 3 375 #define __Pyx_BUILTIN_MODULE_NAME "__builtin__" 376 #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\ 377 PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) 378 #define __Pyx_DefaultClassType PyClass_Type 380 #define __Pyx_BUILTIN_MODULE_NAME "builtins" 381 #if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2 382 #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\ 383 PyCode_New(a, 0, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) 385 #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\ 386 PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) 388 #define __Pyx_DefaultClassType PyType_Type 390 #ifndef Py_TPFLAGS_CHECKTYPES 391 #define Py_TPFLAGS_CHECKTYPES 0 393 #ifndef Py_TPFLAGS_HAVE_INDEX 394 #define Py_TPFLAGS_HAVE_INDEX 0 396 #ifndef Py_TPFLAGS_HAVE_NEWBUFFER 397 #define Py_TPFLAGS_HAVE_NEWBUFFER 0 399 #ifndef Py_TPFLAGS_HAVE_FINALIZE 400 #define Py_TPFLAGS_HAVE_FINALIZE 0 402 #ifndef METH_STACKLESS 403 #define METH_STACKLESS 0 405 #if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL) 406 #ifndef METH_FASTCALL 407 #define METH_FASTCALL 0x80 409 typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *
self, PyObject *
const *args, Py_ssize_t nargs);
410 typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *
self, PyObject *
const *args,
411 Py_ssize_t nargs, PyObject *kwnames);
413 #define __Pyx_PyCFunctionFast _PyCFunctionFast 414 #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords 416 #if CYTHON_FAST_PYCCALL 417 #define __Pyx_PyFastCFunction_Check(func)\ 418 ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS))))) 420 #define __Pyx_PyFastCFunction_Check(func) 0 422 #if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc) 423 #define PyObject_Malloc(s) PyMem_Malloc(s) 424 #define PyObject_Free(p) PyMem_Free(p) 425 #define PyObject_Realloc(p) PyMem_Realloc(p) 427 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1 428 #define PyMem_RawMalloc(n) PyMem_Malloc(n) 429 #define PyMem_RawRealloc(p, n) PyMem_Realloc(p, n) 430 #define PyMem_RawFree(p) PyMem_Free(p) 432 #if CYTHON_COMPILING_IN_PYSTON 433 #define __Pyx_PyCode_HasFreeVars(co) PyCode_HasFreeVars(co) 434 #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno) 436 #define __Pyx_PyCode_HasFreeVars(co) (PyCode_GetNumFree(co) > 0) 437 #define __Pyx_PyFrame_SetLineNumber(frame, lineno) (frame)->f_lineno = (lineno) 439 #if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000 440 #define __Pyx_PyThreadState_Current PyThreadState_GET() 441 #elif PY_VERSION_HEX >= 0x03060000 442 #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet() 443 #elif PY_VERSION_HEX >= 0x03000000 444 #define __Pyx_PyThreadState_Current PyThreadState_GET() 446 #define __Pyx_PyThreadState_Current _PyThreadState_Current 448 #if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT) 449 #include "pythread.h" 450 #define Py_tss_NEEDS_INIT 0 451 typedef int Py_tss_t;
452 static CYTHON_INLINE
int PyThread_tss_create(Py_tss_t *key) {
453 *key = PyThread_create_key();
456 static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(
void) {
457 Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(
sizeof(Py_tss_t));
458 *key = Py_tss_NEEDS_INIT;
461 static CYTHON_INLINE
void PyThread_tss_free(Py_tss_t *key) {
464 static CYTHON_INLINE
int PyThread_tss_is_created(Py_tss_t *key) {
465 return *key != Py_tss_NEEDS_INIT;
467 static CYTHON_INLINE
void PyThread_tss_delete(Py_tss_t *key) {
468 PyThread_delete_key(*key);
469 *key = Py_tss_NEEDS_INIT;
471 static CYTHON_INLINE
int PyThread_tss_set(Py_tss_t *key,
void *value) {
472 return PyThread_set_key_value(*key, value);
474 static CYTHON_INLINE
void * PyThread_tss_get(Py_tss_t *key) {
475 return PyThread_get_key_value(*key);
478 #if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized) 479 #define __Pyx_PyDict_NewPresized(n) ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n)) 481 #define __Pyx_PyDict_NewPresized(n) PyDict_New() 483 #if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION 484 #define __Pyx_PyNumber_Divide(x,y) PyNumber_TrueDivide(x,y) 485 #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceTrueDivide(x,y) 487 #define __Pyx_PyNumber_Divide(x,y) PyNumber_Divide(x,y) 488 #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceDivide(x,y) 490 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS 491 #define __Pyx_PyDict_GetItemStr(dict, name) _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash) 493 #define __Pyx_PyDict_GetItemStr(dict, name) PyDict_GetItem(dict, name) 495 #if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND) 496 #define CYTHON_PEP393_ENABLED 1 497 #define __Pyx_PyUnicode_READY(op) (likely(PyUnicode_IS_READY(op)) ?\ 498 0 : _PyUnicode_Ready((PyObject *)(op))) 499 #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_LENGTH(u) 500 #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i) 501 #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u) PyUnicode_MAX_CHAR_VALUE(u) 502 #define __Pyx_PyUnicode_KIND(u) PyUnicode_KIND(u) 503 #define __Pyx_PyUnicode_DATA(u) PyUnicode_DATA(u) 504 #define __Pyx_PyUnicode_READ(k, d, i) PyUnicode_READ(k, d, i) 505 #define __Pyx_PyUnicode_WRITE(k, d, i, ch) PyUnicode_WRITE(k, d, i, ch) 506 #define __Pyx_PyUnicode_IS_TRUE(u) (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u))) 508 #define CYTHON_PEP393_ENABLED 0 509 #define PyUnicode_1BYTE_KIND 1 510 #define PyUnicode_2BYTE_KIND 2 511 #define PyUnicode_4BYTE_KIND 4 512 #define __Pyx_PyUnicode_READY(op) (0) 513 #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_SIZE(u) 514 #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i])) 515 #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u) ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111) 516 #define __Pyx_PyUnicode_KIND(u) (sizeof(Py_UNICODE)) 517 #define __Pyx_PyUnicode_DATA(u) ((void*)PyUnicode_AS_UNICODE(u)) 518 #define __Pyx_PyUnicode_READ(k, d, i) ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i])) 519 #define __Pyx_PyUnicode_WRITE(k, d, i, ch) (((void)(k)), ((Py_UNICODE*)d)[i] = ch) 520 #define __Pyx_PyUnicode_IS_TRUE(u) (0 != PyUnicode_GET_SIZE(u)) 522 #if CYTHON_COMPILING_IN_PYPY 523 #define __Pyx_PyUnicode_Concat(a, b) PyNumber_Add(a, b) 524 #define __Pyx_PyUnicode_ConcatSafe(a, b) PyNumber_Add(a, b) 526 #define __Pyx_PyUnicode_Concat(a, b) PyUnicode_Concat(a, b) 527 #define __Pyx_PyUnicode_ConcatSafe(a, b) ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\ 528 PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b)) 530 #if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains) 531 #define PyUnicode_Contains(u, s) PySequence_Contains(u, s) 533 #if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check) 534 #define PyByteArray_Check(obj) PyObject_TypeCheck(obj, &PyByteArray_Type) 536 #if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format) 537 #define PyObject_Format(obj, fmt) PyObject_CallMethod(obj, "__format__", "O", fmt) 539 #define __Pyx_PyString_FormatSafe(a, b) ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b)) 540 #define __Pyx_PyUnicode_FormatSafe(a, b) ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b)) 541 #if PY_MAJOR_VERSION >= 3 542 #define __Pyx_PyString_Format(a, b) PyUnicode_Format(a, b) 544 #define __Pyx_PyString_Format(a, b) PyString_Format(a, b) 546 #if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII) 547 #define PyObject_ASCII(o) PyObject_Repr(o) 549 #if PY_MAJOR_VERSION >= 3 550 #define PyBaseString_Type PyUnicode_Type 551 #define PyStringObject PyUnicodeObject 552 #define PyString_Type PyUnicode_Type 553 #define PyString_Check PyUnicode_Check 554 #define PyString_CheckExact PyUnicode_CheckExact 555 #define PyObject_Unicode PyObject_Str 557 #if PY_MAJOR_VERSION >= 3 558 #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj) 559 #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj) 561 #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj)) 562 #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj)) 564 #ifndef PySet_CheckExact 565 #define PySet_CheckExact(obj) (Py_TYPE(obj) == &PySet_Type) 567 #if CYTHON_ASSUME_SAFE_MACROS 568 #define __Pyx_PySequence_SIZE(seq) Py_SIZE(seq) 570 #define __Pyx_PySequence_SIZE(seq) PySequence_Size(seq) 572 #if PY_MAJOR_VERSION >= 3 573 #define PyIntObject PyLongObject 574 #define PyInt_Type PyLong_Type 575 #define PyInt_Check(op) PyLong_Check(op) 576 #define PyInt_CheckExact(op) PyLong_CheckExact(op) 577 #define PyInt_FromString PyLong_FromString 578 #define PyInt_FromUnicode PyLong_FromUnicode 579 #define PyInt_FromLong PyLong_FromLong 580 #define PyInt_FromSize_t PyLong_FromSize_t 581 #define PyInt_FromSsize_t PyLong_FromSsize_t 582 #define PyInt_AsLong PyLong_AsLong 583 #define PyInt_AS_LONG PyLong_AS_LONG 584 #define PyInt_AsSsize_t PyLong_AsSsize_t 585 #define PyInt_AsUnsignedLongMask PyLong_AsUnsignedLongMask 586 #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask 587 #define PyNumber_Int PyNumber_Long 589 #if PY_MAJOR_VERSION >= 3 590 #define PyBoolObject PyLongObject 592 #if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY 593 #ifndef PyUnicode_InternFromString 594 #define PyUnicode_InternFromString(s) PyUnicode_FromString(s) 597 #if PY_VERSION_HEX < 0x030200A4 598 typedef long Py_hash_t;
599 #define __Pyx_PyInt_FromHash_t PyInt_FromLong 600 #define __Pyx_PyInt_AsHash_t PyInt_AsLong 602 #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t 603 #define __Pyx_PyInt_AsHash_t PyInt_AsSsize_t 605 #if PY_MAJOR_VERSION >= 3 606 #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : (Py_INCREF(func), func)) 608 #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass) 610 #if CYTHON_USE_ASYNC_SLOTS 611 #if PY_VERSION_HEX >= 0x030500B1 612 #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods 613 #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async) 615 #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved)) 618 #define __Pyx_PyType_AsAsync(obj) NULL 620 #ifndef __Pyx_PyAsyncMethodsStruct 625 } __Pyx_PyAsyncMethodsStruct;
628 #if defined(WIN32) || defined(MS_WINDOWS) 629 #define _USE_MATH_DEFINES 633 #define __PYX_NAN() ((float) NAN) 635 static CYTHON_INLINE
float __PYX_NAN() {
637 memset(&value, 0xFF,
sizeof(value));
641 #if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL) 642 #define __Pyx_truncl trunc 644 #define __Pyx_truncl truncl 648 #define __PYX_ERR(f_index, lineno, Ln_error) \ 650 __pyx_filename = __pyx_f[f_index]; __pyx_lineno = lineno; __pyx_clineno = __LINE__; goto Ln_error; \ 653 #ifndef __PYX_EXTERN_C 655 #define __PYX_EXTERN_C extern "C" 657 #define __PYX_EXTERN_C extern 661 #define __PYX_HAVE__PyClical 662 #define __PYX_HAVE_API__PyClical 674 #if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS) 675 #define CYTHON_WITHOUT_ASSERTIONS 678 typedef struct {PyObject **p;
const char *s;
const Py_ssize_t n;
const char* encoding;
679 const char is_unicode;
const char is_str;
const char intern; } __Pyx_StringTabEntry;
681 #define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0 682 #define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0 683 #define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8) 684 #define __PYX_DEFAULT_STRING_ENCODING "" 685 #define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString 686 #define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize 687 #define __Pyx_uchar_cast(c) ((unsigned char)c) 688 #define __Pyx_long_cast(x) ((long)x) 689 #define __Pyx_fits_Py_ssize_t(v, type, is_signed) (\ 690 (sizeof(type) < sizeof(Py_ssize_t)) ||\ 691 (sizeof(type) > sizeof(Py_ssize_t) &&\ 692 likely(v < (type)PY_SSIZE_T_MAX ||\ 693 v == (type)PY_SSIZE_T_MAX) &&\ 694 (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\ 695 v == (type)PY_SSIZE_T_MIN))) ||\ 696 (sizeof(type) == sizeof(Py_ssize_t) &&\ 697 (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\ 698 v == (type)PY_SSIZE_T_MAX))) ) 699 static CYTHON_INLINE
int __Pyx_is_valid_index(Py_ssize_t
i, Py_ssize_t limit) {
700 return (
size_t)
i < (size_t) limit;
702 #if defined (__cplusplus) && __cplusplus >= 201103L 704 #define __Pyx_sst_abs(value) std::abs(value) 705 #elif SIZEOF_INT >= SIZEOF_SIZE_T 706 #define __Pyx_sst_abs(value) abs(value) 707 #elif SIZEOF_LONG >= SIZEOF_SIZE_T 708 #define __Pyx_sst_abs(value) labs(value) 709 #elif defined (_MSC_VER) 710 #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value)) 711 #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L 712 #define __Pyx_sst_abs(value) llabs(value) 713 #elif defined (__GNUC__) 714 #define __Pyx_sst_abs(value) __builtin_llabs(value) 716 #define __Pyx_sst_abs(value) ((value<0) ? -value : value) 718 static CYTHON_INLINE
const char* __Pyx_PyObject_AsString(PyObject*);
719 static CYTHON_INLINE
const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
720 #define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s)) 721 #define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l) 722 #define __Pyx_PyBytes_FromString PyBytes_FromString 723 #define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize 724 static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(
const char*);
725 #if PY_MAJOR_VERSION < 3 726 #define __Pyx_PyStr_FromString __Pyx_PyBytes_FromString 727 #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize 729 #define __Pyx_PyStr_FromString __Pyx_PyUnicode_FromString 730 #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize 732 #define __Pyx_PyBytes_AsWritableString(s) ((char*) PyBytes_AS_STRING(s)) 733 #define __Pyx_PyBytes_AsWritableSString(s) ((signed char*) PyBytes_AS_STRING(s)) 734 #define __Pyx_PyBytes_AsWritableUString(s) ((unsigned char*) PyBytes_AS_STRING(s)) 735 #define __Pyx_PyBytes_AsString(s) ((const char*) PyBytes_AS_STRING(s)) 736 #define __Pyx_PyBytes_AsSString(s) ((const signed char*) PyBytes_AS_STRING(s)) 737 #define __Pyx_PyBytes_AsUString(s) ((const unsigned char*) PyBytes_AS_STRING(s)) 738 #define __Pyx_PyObject_AsWritableString(s) ((char*) __Pyx_PyObject_AsString(s)) 739 #define __Pyx_PyObject_AsWritableSString(s) ((signed char*) __Pyx_PyObject_AsString(s)) 740 #define __Pyx_PyObject_AsWritableUString(s) ((unsigned char*) __Pyx_PyObject_AsString(s)) 741 #define __Pyx_PyObject_AsSString(s) ((const signed char*) __Pyx_PyObject_AsString(s)) 742 #define __Pyx_PyObject_AsUString(s) ((const unsigned char*) __Pyx_PyObject_AsString(s)) 743 #define __Pyx_PyObject_FromCString(s) __Pyx_PyObject_FromString((const char*)s) 744 #define __Pyx_PyBytes_FromCString(s) __Pyx_PyBytes_FromString((const char*)s) 745 #define __Pyx_PyByteArray_FromCString(s) __Pyx_PyByteArray_FromString((const char*)s) 746 #define __Pyx_PyStr_FromCString(s) __Pyx_PyStr_FromString((const char*)s) 747 #define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s) 748 static CYTHON_INLINE
size_t __Pyx_Py_UNICODE_strlen(
const Py_UNICODE *u) {
749 const Py_UNICODE *u_end = u;
751 return (
size_t)(u_end - u - 1);
753 #define __Pyx_PyUnicode_FromUnicode(u) PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u)) 754 #define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode 755 #define __Pyx_PyUnicode_AsUnicode PyUnicode_AsUnicode 756 #define __Pyx_NewRef(obj) (Py_INCREF(obj), obj) 757 #define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None) 758 static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(
long b);
759 static CYTHON_INLINE
int __Pyx_PyObject_IsTrue(PyObject*);
760 static CYTHON_INLINE
int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
761 static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
762 #define __Pyx_PySequence_Tuple(obj)\ 763 (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj)) 764 static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
765 static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(
size_t);
766 #if CYTHON_ASSUME_SAFE_MACROS 767 #define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x)) 769 #define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x) 771 #define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x)) 772 #if PY_MAJOR_VERSION >= 3 773 #define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x)) 775 #define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x)) 777 #define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x)) 778 #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 779 static int __Pyx_sys_getdefaultencoding_not_ascii;
780 static int __Pyx_init_sys_getdefaultencoding_params(
void) {
782 PyObject* default_encoding = NULL;
783 PyObject* ascii_chars_u = NULL;
784 PyObject* ascii_chars_b = NULL;
785 const char* default_encoding_c;
786 sys = PyImport_ImportModule(
"sys");
788 default_encoding = PyObject_CallMethod(sys, (
char*)
"getdefaultencoding", NULL);
790 if (!default_encoding)
goto bad;
791 default_encoding_c = PyBytes_AsString(default_encoding);
792 if (!default_encoding_c)
goto bad;
793 if (strcmp(default_encoding_c,
"ascii") == 0) {
794 __Pyx_sys_getdefaultencoding_not_ascii = 0;
796 char ascii_chars[128];
798 for (c = 0; c < 128; c++) {
801 __Pyx_sys_getdefaultencoding_not_ascii = 1;
802 ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
803 if (!ascii_chars_u)
goto bad;
804 ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
805 if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
808 "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
812 Py_DECREF(ascii_chars_u);
813 Py_DECREF(ascii_chars_b);
815 Py_DECREF(default_encoding);
818 Py_XDECREF(default_encoding);
819 Py_XDECREF(ascii_chars_u);
820 Py_XDECREF(ascii_chars_b);
824 #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3 825 #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL) 827 #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL) 828 #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 829 static char* __PYX_DEFAULT_STRING_ENCODING;
830 static int __Pyx_init_sys_getdefaultencoding_params(
void) {
832 PyObject* default_encoding = NULL;
833 char* default_encoding_c;
834 sys = PyImport_ImportModule(
"sys");
836 default_encoding = PyObject_CallMethod(sys, (
char*) (
const char*)
"getdefaultencoding", NULL);
838 if (!default_encoding)
goto bad;
839 default_encoding_c = PyBytes_AsString(default_encoding);
840 if (!default_encoding_c)
goto bad;
841 __PYX_DEFAULT_STRING_ENCODING = (
char*) malloc(strlen(default_encoding_c) + 1);
842 if (!__PYX_DEFAULT_STRING_ENCODING)
goto bad;
843 strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
844 Py_DECREF(default_encoding);
847 Py_XDECREF(default_encoding);
855 #if defined(__GNUC__) && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95))) 856 #define likely(x) __builtin_expect(!!(x), 1) 857 #define unlikely(x) __builtin_expect(!!(x), 0) 859 #define likely(x) (x) 860 #define unlikely(x) (x) 862 static CYTHON_INLINE
void __Pyx_pretend_to_initialize(
void* ptr) { (void)ptr; }
864 static PyObject *__pyx_m = NULL;
865 static PyObject *__pyx_d;
866 static PyObject *__pyx_b;
867 static PyObject *__pyx_cython_runtime = NULL;
868 static PyObject *__pyx_empty_tuple;
869 static PyObject *__pyx_empty_bytes;
870 static PyObject *__pyx_empty_unicode;
871 static int __pyx_lineno;
872 static int __pyx_clineno = 0;
873 static const char * __pyx_cfilenm= __FILE__;
874 static const char *__pyx_filename;
877 static const char *__pyx_f[] = {
883 struct __pyx_obj_8PyClical_index_set;
884 struct __pyx_obj_8PyClical_clifford;
885 struct __pyx_obj_8PyClical___pyx_scope_struct____iter__;
886 struct __pyx_opt_args_8PyClical_sqrt;
887 struct __pyx_opt_args_8PyClical_log;
888 struct __pyx_opt_args_8PyClical_cos;
889 struct __pyx_opt_args_8PyClical_acos;
890 struct __pyx_opt_args_8PyClical_acosh;
891 struct __pyx_opt_args_8PyClical_sin;
892 struct __pyx_opt_args_8PyClical_asin;
893 struct __pyx_opt_args_8PyClical_asinh;
894 struct __pyx_opt_args_8PyClical_tan;
895 struct __pyx_opt_args_8PyClical_atan;
896 struct __pyx_opt_args_8PyClical_atanh;
897 struct __pyx_opt_args_8PyClical_random_clifford;
906 struct __pyx_opt_args_8PyClical_sqrt {
918 struct __pyx_opt_args_8PyClical_log {
930 struct __pyx_opt_args_8PyClical_cos {
942 struct __pyx_opt_args_8PyClical_acos {
954 struct __pyx_opt_args_8PyClical_acosh {
966 struct __pyx_opt_args_8PyClical_sin {
978 struct __pyx_opt_args_8PyClical_asin {
990 struct __pyx_opt_args_8PyClical_asinh {
1002 struct __pyx_opt_args_8PyClical_tan {
1014 struct __pyx_opt_args_8PyClical_atan {
1026 struct __pyx_opt_args_8PyClical_atanh {
1038 struct __pyx_opt_args_8PyClical_random_clifford {
1050 struct __pyx_obj_8PyClical_index_set {
1052 struct __pyx_vtabstruct_8PyClical_index_set *__pyx_vtab;
1064 struct __pyx_obj_8PyClical_clifford {
1066 struct __pyx_vtabstruct_8PyClical_clifford *__pyx_vtab;
1078 struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ {
1080 PyObject *__pyx_v_idx;
1081 struct __pyx_obj_8PyClical_index_set *__pyx_v_self;
1082 PyObject *__pyx_t_0;
1083 Py_ssize_t __pyx_t_1;
1084 PyObject *(*__pyx_t_2)(PyObject *);
1097 struct __pyx_vtabstruct_8PyClical_index_set {
1098 PyObject *(*wrap)(
struct __pyx_obj_8PyClical_index_set *,
IndexSet);
1099 IndexSet (*unwrap)(
struct __pyx_obj_8PyClical_index_set *);
1100 PyObject *(*copy)(
struct __pyx_obj_8PyClical_index_set *,
int __pyx_skip_dispatch);
1102 static struct __pyx_vtabstruct_8PyClical_index_set *__pyx_vtabptr_8PyClical_index_set;
1103 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_9index_set_wrap(
struct __pyx_obj_8PyClical_index_set *,
IndexSet);
1104 static CYTHON_INLINE
IndexSet __pyx_f_8PyClical_9index_set_unwrap(
struct __pyx_obj_8PyClical_index_set *);
1115 struct __pyx_vtabstruct_8PyClical_clifford {
1116 PyObject *(*wrap)(
struct __pyx_obj_8PyClical_clifford *,
Clifford);
1117 Clifford (*unwrap)(
struct __pyx_obj_8PyClical_clifford *);
1118 PyObject *(*copy)(
struct __pyx_obj_8PyClical_clifford *,
int __pyx_skip_dispatch);
1120 static struct __pyx_vtabstruct_8PyClical_clifford *__pyx_vtabptr_8PyClical_clifford;
1121 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_8clifford_wrap(
struct __pyx_obj_8PyClical_clifford *,
Clifford);
1122 static CYTHON_INLINE
Clifford __pyx_f_8PyClical_8clifford_unwrap(
struct __pyx_obj_8PyClical_clifford *);
1126 #ifndef CYTHON_REFNANNY 1127 #define CYTHON_REFNANNY 0 1131 void (*INCREF)(
void*, PyObject*, int);
1132 void (*DECREF)(
void*, PyObject*, int);
1133 void (*GOTREF)(
void*, PyObject*, int);
1134 void (*GIVEREF)(
void*, PyObject*, int);
1135 void* (*SetupContext)(
const char*, int,
const char*);
1136 void (*FinishContext)(
void**);
1137 } __Pyx_RefNannyAPIStruct;
1138 static __Pyx_RefNannyAPIStruct *__Pyx_RefNanny = NULL;
1139 static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(
const char *modname);
1140 #define __Pyx_RefNannyDeclarations void *__pyx_refnanny = NULL; 1142 #define __Pyx_RefNannySetupContext(name, acquire_gil)\ 1144 PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\ 1145 __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__);\ 1146 PyGILState_Release(__pyx_gilstate_save);\ 1148 __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__);\ 1151 #define __Pyx_RefNannySetupContext(name, acquire_gil)\ 1152 __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__) 1154 #define __Pyx_RefNannyFinishContext()\ 1155 __Pyx_RefNanny->FinishContext(&__pyx_refnanny) 1156 #define __Pyx_INCREF(r) __Pyx_RefNanny->INCREF(__pyx_refnanny, (PyObject *)(r), __LINE__) 1157 #define __Pyx_DECREF(r) __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), __LINE__) 1158 #define __Pyx_GOTREF(r) __Pyx_RefNanny->GOTREF(__pyx_refnanny, (PyObject *)(r), __LINE__) 1159 #define __Pyx_GIVEREF(r) __Pyx_RefNanny->GIVEREF(__pyx_refnanny, (PyObject *)(r), __LINE__) 1160 #define __Pyx_XINCREF(r) do { if((r) != NULL) {__Pyx_INCREF(r); }} while(0) 1161 #define __Pyx_XDECREF(r) do { if((r) != NULL) {__Pyx_DECREF(r); }} while(0) 1162 #define __Pyx_XGOTREF(r) do { if((r) != NULL) {__Pyx_GOTREF(r); }} while(0) 1163 #define __Pyx_XGIVEREF(r) do { if((r) != NULL) {__Pyx_GIVEREF(r);}} while(0) 1165 #define __Pyx_RefNannyDeclarations 1166 #define __Pyx_RefNannySetupContext(name, acquire_gil) 1167 #define __Pyx_RefNannyFinishContext() 1168 #define __Pyx_INCREF(r) Py_INCREF(r) 1169 #define __Pyx_DECREF(r) Py_DECREF(r) 1170 #define __Pyx_GOTREF(r) 1171 #define __Pyx_GIVEREF(r) 1172 #define __Pyx_XINCREF(r) Py_XINCREF(r) 1173 #define __Pyx_XDECREF(r) Py_XDECREF(r) 1174 #define __Pyx_XGOTREF(r) 1175 #define __Pyx_XGIVEREF(r) 1177 #define __Pyx_XDECREF_SET(r, v) do {\ 1178 PyObject *tmp = (PyObject *) r;\ 1179 r = v; __Pyx_XDECREF(tmp);\ 1181 #define __Pyx_DECREF_SET(r, v) do {\ 1182 PyObject *tmp = (PyObject *) r;\ 1183 r = v; __Pyx_DECREF(tmp);\ 1185 #define __Pyx_CLEAR(r) do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0) 1186 #define __Pyx_XCLEAR(r) do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0) 1189 #if CYTHON_USE_TYPE_SLOTS 1190 static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject*
obj, PyObject* attr_name);
1192 #define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n) 1196 static PyObject *__Pyx_GetBuiltinName(PyObject *name);
1199 #if CYTHON_FAST_PYCCALL 1200 static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
1202 #define __Pyx_PyCFunction_FastCall(func, args, nargs) (assert(0), NULL) 1206 #if CYTHON_FAST_PYCALL 1207 #define __Pyx_PyFunction_FastCall(func, args, nargs)\ 1208 __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL) 1209 #if 1 || PY_VERSION_HEX < 0x030600B1 1210 static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
1212 #define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, kwargs) 1214 #define __Pyx_BUILD_ASSERT_EXPR(cond)\ 1215 (sizeof(char [1 - 2*!(cond)]) - 1) 1216 #ifndef Py_MEMBER_SIZE 1217 #define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member) 1219 static size_t __pyx_pyframe_localsplus_offset = 0;
1220 #include "frameobject.h" 1221 #define __Pxy_PyFrame_Initialize_Offsets()\ 1222 ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\ 1223 (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus))) 1224 #define __Pyx_PyFrame_GetLocalsplus(frame)\ 1225 (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset)) 1229 #if CYTHON_COMPILING_IN_CPYTHON 1230 static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
1232 #define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw) 1236 #if CYTHON_COMPILING_IN_CPYTHON 1237 static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
1241 static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);
1244 #if CYTHON_FAST_THREAD_STATE 1245 #define __Pyx_PyThreadState_declare PyThreadState *__pyx_tstate; 1246 #define __Pyx_PyThreadState_assign __pyx_tstate = __Pyx_PyThreadState_Current; 1247 #define __Pyx_PyErr_Occurred() __pyx_tstate->curexc_type 1249 #define __Pyx_PyThreadState_declare 1250 #define __Pyx_PyThreadState_assign 1251 #define __Pyx_PyErr_Occurred() PyErr_Occurred() 1255 #if CYTHON_FAST_THREAD_STATE 1256 #define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL) 1257 #define __Pyx_ErrRestoreWithState(type, value, tb) __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb) 1258 #define __Pyx_ErrFetchWithState(type, value, tb) __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb) 1259 #define __Pyx_ErrRestore(type, value, tb) __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb) 1260 #define __Pyx_ErrFetch(type, value, tb) __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb) 1261 static CYTHON_INLINE
void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
1262 static CYTHON_INLINE
void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
1263 #if CYTHON_COMPILING_IN_CPYTHON 1264 #define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL)) 1266 #define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc) 1269 #define __Pyx_PyErr_Clear() PyErr_Clear() 1270 #define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc) 1271 #define __Pyx_ErrRestoreWithState(type, value, tb) PyErr_Restore(type, value, tb) 1272 #define __Pyx_ErrFetchWithState(type, value, tb) PyErr_Fetch(type, value, tb) 1273 #define __Pyx_ErrRestoreInState(tstate, type, value, tb) PyErr_Restore(type, value, tb) 1274 #define __Pyx_ErrFetchInState(tstate, type, value, tb) PyErr_Fetch(type, value, tb) 1275 #define __Pyx_ErrRestore(type, value, tb) PyErr_Restore(type, value, tb) 1276 #define __Pyx_ErrFetch(type, value, tb) PyErr_Fetch(type, value, tb) 1280 static void __Pyx_WriteUnraisable(
const char *name,
int clineno,
1281 int lineno,
const char *filename,
1282 int full_traceback,
int nogil);
1285 #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS 1286 #define __PYX_DICT_VERSION_INIT ((PY_UINT64_T) -1) 1287 #define __PYX_GET_DICT_VERSION(dict) (((PyDictObject*)(dict))->ma_version_tag) 1288 #define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\ 1289 (version_var) = __PYX_GET_DICT_VERSION(dict);\ 1290 (cache_var) = (value); 1291 #define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\ 1292 static PY_UINT64_T __pyx_dict_version = 0;\ 1293 static PyObject *__pyx_dict_cached_value = NULL;\ 1294 if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\ 1295 (VAR) = __pyx_dict_cached_value;\ 1297 (VAR) = __pyx_dict_cached_value = (LOOKUP);\ 1298 __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\ 1301 static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *
obj);
1302 static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *
obj);
1303 static CYTHON_INLINE
int __Pyx_object_dict_version_matches(PyObject*
obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
1305 #define __PYX_GET_DICT_VERSION(dict) (0) 1306 #define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var) 1307 #define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) (VAR) = (LOOKUP); 1311 #if CYTHON_COMPILING_IN_CPYTHON 1312 static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
1314 #define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL) 1318 static void __Pyx_RaiseDoubleKeywordsError(
const char* func_name, PyObject* kw_name);
1321 static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
1322 PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,\
1323 const char* function_name);
1326 static void __Pyx_RaiseArgtupleInvalid(
const char* func_name,
int exact,
1327 Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);
1330 #if CYTHON_USE_DICT_VERSIONS 1331 #define __Pyx_GetModuleGlobalName(var, name) {\ 1332 static PY_UINT64_T __pyx_dict_version = 0;\ 1333 static PyObject *__pyx_dict_cached_value = NULL;\ 1334 (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_d))) ?\ 1335 (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\ 1336 __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\ 1338 #define __Pyx_GetModuleGlobalNameUncached(var, name) {\ 1339 PY_UINT64_T __pyx_dict_version;\ 1340 PyObject *__pyx_dict_cached_value;\ 1341 (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\ 1343 static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
1345 #define __Pyx_GetModuleGlobalName(var, name) (var) = __Pyx__GetModuleGlobalName(name) 1346 #define __Pyx_GetModuleGlobalNameUncached(var, name) (var) = __Pyx__GetModuleGlobalName(name) 1347 static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
1351 #if CYTHON_USE_EXC_INFO_STACK 1352 static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
1356 #if CYTHON_FAST_THREAD_STATE 1357 #define __Pyx_ExceptionSave(type, value, tb) __Pyx__ExceptionSave(__pyx_tstate, type, value, tb) 1358 static CYTHON_INLINE
void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
1359 #define __Pyx_ExceptionReset(type, value, tb) __Pyx__ExceptionReset(__pyx_tstate, type, value, tb) 1360 static CYTHON_INLINE
void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
1362 #define __Pyx_ExceptionSave(type, value, tb) PyErr_GetExcInfo(type, value, tb) 1363 #define __Pyx_ExceptionReset(type, value, tb) PyErr_SetExcInfo(type, value, tb) 1367 #if CYTHON_FAST_THREAD_STATE 1368 #define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err) 1369 static CYTHON_INLINE
int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
1371 #define __Pyx_PyErr_ExceptionMatches(err) PyErr_ExceptionMatches(err) 1375 #if CYTHON_FAST_THREAD_STATE 1376 #define __Pyx_GetException(type, value, tb) __Pyx__GetException(__pyx_tstate, type, value, tb) 1377 static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
1379 static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
1383 static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
1386 #if !CYTHON_COMPILING_IN_PYPY 1387 static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2,
long intval,
int inplace,
int zerodivision_check);
1389 #define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace, zerodivision_check)\ 1390 (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2)) 1394 static CYTHON_INLINE
int __Pyx_PySequence_ContainsTF(PyObject* item, PyObject* seq,
int eq) {
1395 int result = PySequence_Contains(seq, item);
1396 return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
1400 #define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\ 1401 (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\ 1402 __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck) :\ 1403 (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) :\ 1404 __Pyx_SetItemInt_Generic(o, to_py_func(i), v))) 1405 static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
1406 static CYTHON_INLINE
int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t
i, PyObject *v,
1407 int is_list,
int wraparound,
int boundscheck);
1410 static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject*
function, PyObject* arg1, PyObject* arg2);
1413 #define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\ 1414 ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\ 1415 __Pyx__ArgTypeTest(obj, type, name, exact)) 1416 static int __Pyx__ArgTypeTest(PyObject *
obj, PyTypeObject *type,
const char *name,
int exact);
1419 static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list,
int level);
1425 #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000 1426 static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject*
obj, PyObject* attr_name);
1428 #define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr 1432 #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000 1433 static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject*
obj, PyObject* attr_name);
1435 #define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr 1439 static int __Pyx_SetVtable(PyObject *dict,
void *vtable);
1442 static int __Pyx_setup_reduce(PyObject* type_obj);
1445 #if !CYTHON_COMPILING_IN_PYPY 1446 static PyObject* __Pyx_PyFloat_DivideObjC(PyObject *op1, PyObject *op2,
double floatval,
int inplace,
int zerodivision_check);
1448 #define __Pyx_PyFloat_DivideObjC(op1, op2, floatval, inplace, zerodivision_check)\ 1449 ((inplace ? __Pyx_PyNumber_InPlaceDivide(op1, op2) : __Pyx_PyNumber_Divide(op1, op2))) 1453 static CYTHON_INLINE
int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2,
int equals);
1456 static CYTHON_INLINE
int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2,
int equals);
1459 #if PY_MAJOR_VERSION >= 3 1460 #define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals 1462 #define __Pyx_PyString_Equals __Pyx_PyBytes_Equals 1466 #ifdef CYTHON_CLINE_IN_TRACEBACK 1467 #define __Pyx_CLineForTraceback(tstate, c_line) (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0) 1469 static int __Pyx_CLineForTraceback(PyThreadState *tstate,
int c_line);
1474 PyCodeObject* code_object;
1476 } __Pyx_CodeObjectCacheEntry;
1477 struct __Pyx_CodeObjectCache {
1480 __Pyx_CodeObjectCacheEntry* entries;
1482 static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
1483 static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries,
int count,
int code_line);
1484 static PyCodeObject *__pyx_find_code_object(
int code_line);
1485 static void __pyx_insert_code_object(
int code_line, PyCodeObject* code_object);
1488 static void __Pyx_AddTraceback(
const char *funcname,
int c_line,
1489 int py_line,
const char *filename);
1492 #ifndef __Pyx_CppExn2PyErr 1495 #include <stdexcept> 1497 static void __Pyx_CppExn2PyErr() {
1499 if (PyErr_Occurred())
1503 }
catch (
const std::bad_alloc& exn) {
1504 PyErr_SetString(PyExc_MemoryError, exn.what());
1505 }
catch (
const std::bad_cast& exn) {
1506 PyErr_SetString(PyExc_TypeError, exn.what());
1507 }
catch (
const std::bad_typeid& exn) {
1508 PyErr_SetString(PyExc_TypeError, exn.what());
1509 }
catch (
const std::domain_error& exn) {
1510 PyErr_SetString(PyExc_ValueError, exn.what());
1511 }
catch (
const std::invalid_argument& exn) {
1512 PyErr_SetString(PyExc_ValueError, exn.what());
1513 }
catch (
const std::ios_base::failure& exn) {
1514 PyErr_SetString(PyExc_IOError, exn.what());
1515 }
catch (
const std::out_of_range& exn) {
1516 PyErr_SetString(PyExc_IndexError, exn.what());
1517 }
catch (
const std::overflow_error& exn) {
1518 PyErr_SetString(PyExc_OverflowError, exn.what());
1519 }
catch (
const std::range_error& exn) {
1520 PyErr_SetString(PyExc_ArithmeticError, exn.what());
1521 }
catch (
const std::underflow_error& exn) {
1522 PyErr_SetString(PyExc_ArithmeticError, exn.what());
1523 }
catch (
const std::exception& exn) {
1524 PyErr_SetString(PyExc_RuntimeError, exn.what());
1528 PyErr_SetString(PyExc_RuntimeError,
"Unknown exception");
1534 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(
int value);
1537 static CYTHON_INLINE
int __Pyx_PyInt_As_int(PyObject *);
1540 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(
long value);
1543 static CYTHON_INLINE
long __Pyx_PyInt_As_long(PyObject *);
1546 #if CYTHON_COMPILING_IN_CPYTHON 1547 #define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type) 1548 static CYTHON_INLINE
int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
1549 static CYTHON_INLINE
int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
1550 static CYTHON_INLINE
int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
1552 #define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type) 1553 #define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type) 1554 #define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2)) 1556 #define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception) 1559 static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);
1562 #if CYTHON_FAST_THREAD_STATE 1563 #define __Pyx_ExceptionSwap(type, value, tb) __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb) 1564 static CYTHON_INLINE
void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
1566 static CYTHON_INLINE
void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
1570 static int __Pyx_PyObject_GetMethod(PyObject *
obj, PyObject *name, PyObject **method);
1573 static PyObject* __Pyx_PyObject_CallMethod1(PyObject*
obj, PyObject* method_name, PyObject* arg);
1576 typedef PyObject *(*__pyx_coroutine_body_t)(PyObject *, PyThreadState *, PyObject *);
1577 #if CYTHON_USE_EXC_INFO_STACK 1578 #define __Pyx_ExcInfoStruct _PyErr_StackItem 1582 PyObject *exc_value;
1583 PyObject *exc_traceback;
1584 } __Pyx_ExcInfoStruct;
1588 __pyx_coroutine_body_t body;
1590 __Pyx_ExcInfoStruct gi_exc_state;
1591 PyObject *gi_weakreflist;
1593 PyObject *yieldfrom;
1595 PyObject *gi_qualname;
1596 PyObject *gi_modulename;
1600 } __pyx_CoroutineObject;
1601 static __pyx_CoroutineObject *__Pyx__Coroutine_New(
1602 PyTypeObject *type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
1603 PyObject *name, PyObject *qualname, PyObject *module_name);
1604 static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
1605 __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
1606 PyObject *name, PyObject *qualname, PyObject *module_name);
1607 static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *
self);
1608 static int __Pyx_Coroutine_clear(PyObject *
self);
1609 static PyObject *__Pyx_Coroutine_Send(PyObject *
self, PyObject *value);
1610 static PyObject *__Pyx_Coroutine_Close(PyObject *
self);
1611 static PyObject *__Pyx_Coroutine_Throw(PyObject *gen, PyObject *args);
1612 #if CYTHON_USE_EXC_INFO_STACK 1613 #define __Pyx_Coroutine_SwapException(self) 1614 #define __Pyx_Coroutine_ResetAndClearException(self) __Pyx_Coroutine_ExceptionClear(&(self)->gi_exc_state) 1616 #define __Pyx_Coroutine_SwapException(self) {\ 1617 __Pyx_ExceptionSwap(&(self)->gi_exc_state.exc_type, &(self)->gi_exc_state.exc_value, &(self)->gi_exc_state.exc_traceback);\ 1618 __Pyx_Coroutine_ResetFrameBackpointer(&(self)->gi_exc_state);\ 1620 #define __Pyx_Coroutine_ResetAndClearException(self) {\ 1621 __Pyx_ExceptionReset((self)->gi_exc_state.exc_type, (self)->gi_exc_state.exc_value, (self)->gi_exc_state.exc_traceback);\ 1622 (self)->gi_exc_state.exc_type = (self)->gi_exc_state.exc_value = (self)->gi_exc_state.exc_traceback = NULL;\ 1625 #if CYTHON_FAST_THREAD_STATE 1626 #define __Pyx_PyGen_FetchStopIterationValue(pvalue)\ 1627 __Pyx_PyGen__FetchStopIterationValue(__pyx_tstate, pvalue) 1629 #define __Pyx_PyGen_FetchStopIterationValue(pvalue)\ 1630 __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, pvalue) 1632 static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *tstate, PyObject **pvalue);
1633 static CYTHON_INLINE
void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state);
1636 static PyObject* __Pyx_Coroutine_patch_module(PyObject* module,
const char* py_code);
1639 static int __Pyx_patch_abc(
void);
1642 #define __Pyx_Generator_USED 1643 static PyTypeObject *__pyx_GeneratorType = 0;
1644 #define __Pyx_Generator_CheckExact(obj) (Py_TYPE(obj) == __pyx_GeneratorType) 1645 #define __Pyx_Generator_New(body, code, closure, name, qualname, module_name)\ 1646 __Pyx__Coroutine_New(__pyx_GeneratorType, body, code, closure, name, qualname, module_name) 1647 static PyObject *__Pyx_Generator_Next(PyObject *
self);
1648 static int __pyx_Generator_init(
void);
1651 static int __Pyx_check_binary_version(
void);
1654 static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
1656 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_9index_set_wrap(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self,
IndexSet __pyx_v_other);
1657 static CYTHON_INLINE
IndexSet __pyx_f_8PyClical_9index_set_unwrap(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
1658 static PyObject *__pyx_f_8PyClical_9index_set_copy(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self,
int __pyx_skip_dispatch);
1659 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_8clifford_wrap(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self,
Clifford __pyx_v_other);
1660 static CYTHON_INLINE
Clifford __pyx_f_8PyClical_8clifford_unwrap(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
1661 static PyObject *__pyx_f_8PyClical_8clifford_copy(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self,
int __pyx_skip_dispatch);
1668 static PyTypeObject *__pyx_ptype_8PyClical_index_set = 0;
1669 static PyTypeObject *__pyx_ptype_8PyClical_clifford = 0;
1670 static PyTypeObject *__pyx_ptype_8PyClical___pyx_scope_struct____iter__ = 0;
1671 static CYTHON_INLINE
IndexSet __pyx_f_8PyClical_toIndexSet(PyObject *);
1672 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_compare(PyObject *, PyObject *,
int __pyx_skip_dispatch);
1673 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_min_neg(PyObject *,
int __pyx_skip_dispatch);
1674 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_max_pos(PyObject *,
int __pyx_skip_dispatch);
1675 static CYTHON_INLINE std::vector<scalar_t> __pyx_f_8PyClical_list_to_vector(PyObject *);
1676 static CYTHON_INLINE
Clifford __pyx_f_8PyClical_toClifford(PyObject *);
1677 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_inv(PyObject *,
int __pyx_skip_dispatch);
1678 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_scalar(PyObject *,
int __pyx_skip_dispatch);
1679 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_real(PyObject *,
int __pyx_skip_dispatch);
1680 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_imag(PyObject *,
int __pyx_skip_dispatch);
1681 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_pure(PyObject *,
int __pyx_skip_dispatch);
1682 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_even(PyObject *,
int __pyx_skip_dispatch);
1683 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_odd(PyObject *,
int __pyx_skip_dispatch);
1684 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_involute(PyObject *,
int __pyx_skip_dispatch);
1685 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_reverse(PyObject *,
int __pyx_skip_dispatch);
1686 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_conj(PyObject *,
int __pyx_skip_dispatch);
1687 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_quad(PyObject *,
int __pyx_skip_dispatch);
1688 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_norm(PyObject *,
int __pyx_skip_dispatch);
1689 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_abs(PyObject *,
int __pyx_skip_dispatch);
1690 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_max_abs(PyObject *,
int __pyx_skip_dispatch);
1691 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_pow(PyObject *, PyObject *,
int __pyx_skip_dispatch);
1692 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_outer_pow(PyObject *, PyObject *,
int __pyx_skip_dispatch);
1693 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_complexifier(PyObject *,
int __pyx_skip_dispatch);
1694 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sqrt(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_sqrt *__pyx_optional_args);
1695 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_exp(PyObject *,
int __pyx_skip_dispatch);
1696 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_log(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_log *__pyx_optional_args);
1697 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cos(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_cos *__pyx_optional_args);
1698 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_acos(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_acos *__pyx_optional_args);
1699 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cosh(PyObject *,
int __pyx_skip_dispatch);
1700 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_acosh(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_acosh *__pyx_optional_args);
1701 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sin(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_sin *__pyx_optional_args);
1702 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_asin(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_asin *__pyx_optional_args);
1703 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sinh(PyObject *,
int __pyx_skip_dispatch);
1704 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_asinh(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_asinh *__pyx_optional_args);
1705 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_tan(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_tan *__pyx_optional_args);
1706 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_atan(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_atan *__pyx_optional_args);
1707 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_tanh(PyObject *,
int __pyx_skip_dispatch);
1708 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_atanh(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_atanh *__pyx_optional_args);
1709 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_random_clifford(
struct __pyx_obj_8PyClical_index_set *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_random_clifford *__pyx_optional_args);
1710 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cga3(PyObject *,
int __pyx_skip_dispatch);
1711 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cga3std(PyObject *,
int __pyx_skip_dispatch);
1712 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_agc3(PyObject *,
int __pyx_skip_dispatch);
1713 #define __Pyx_MODULE_NAME "PyClical" 1714 extern int __pyx_module_is_main_PyClical;
1715 int __pyx_module_is_main_PyClical = 0;
1718 static PyObject *__pyx_builtin_IndexError;
1719 static PyObject *__pyx_builtin_RuntimeError;
1720 static PyObject *__pyx_builtin_TypeError;
1721 static PyObject *__pyx_builtin_ValueError;
1722 static PyObject *__pyx_builtin_NotImplemented;
1723 static PyObject *__pyx_builtin_range;
1724 static PyObject *__pyx_builtin_xrange;
1725 static const char __pyx_k_[] =
".";
1726 static const char __pyx_k_e[] =
"e";
1727 static const char __pyx_k_i[] =
"i";
1728 static const char __pyx_k_m[] =
"m";
1729 static const char __pyx_k_p[] =
"p";
1730 static const char __pyx_k_q[] =
"q";
1731 static const char __pyx_k__2[] =
" ";
1732 static const char __pyx_k__5[] =
":";
1733 static const char __pyx_k__6[] =
"\n\t";
1734 static const char __pyx_k__7[] =
" (";
1735 static const char __pyx_k__8[] =
", ";
1736 static const char __pyx_k__9[] =
").";
1737 static const char __pyx_k_cl[] =
"cl";
1738 static const char __pyx_k_pi[] =
"pi";
1739 static const char __pyx_k_cos[] =
"cos";
1740 static const char __pyx_k_exp[] =
"exp";
1741 static const char __pyx_k_frm[] =
"frm";
1742 static const char __pyx_k_inv[] =
"inv";
1743 static const char __pyx_k_ist[] =
"ist";
1744 static const char __pyx_k_ixt[] =
"ixt";
1745 static const char __pyx_k_lhs[] =
"lhs";
1746 static const char __pyx_k_log[] =
"log";
1747 static const char __pyx_k_max[] =
"max";
1748 static const char __pyx_k_min[] =
"min";
1749 static const char __pyx_k_obj[] =
"obj";
1750 static const char __pyx_k_odd[] =
"odd";
1751 static const char __pyx_k_pow[] =
"pow";
1752 static const char __pyx_k_rhs[] =
"rhs";
1753 static const char __pyx_k_sin[] =
"sin";
1754 static const char __pyx_k_tan[] =
"tan";
1755 static const char __pyx_k_tau[] =
"tau";
1756 static const char __pyx_k_Real[] =
"Real";
1757 static const char __pyx_k_acos[] =
"acos";
1758 static const char __pyx_k_args[] =
"args";
1759 static const char __pyx_k_asin[] =
"asin";
1760 static const char __pyx_k_atan[] =
"atan";
1761 static const char __pyx_k_conj[] =
"conj";
1762 static const char __pyx_k_copy[] =
"copy";
1763 static const char __pyx_k_cosh[] =
"cosh";
1764 static const char __pyx_k_even[] =
"even";
1765 static const char __pyx_k_fill[] =
"fill";
1766 static const char __pyx_k_from[] =
" from ";
1767 static const char __pyx_k_iter[] =
"__iter__";
1768 static const char __pyx_k_main[] =
"__main__";
1769 static const char __pyx_k_math[] =
"math";
1770 static const char __pyx_k_name[] =
"__name__";
1771 static const char __pyx_k_norm[] =
"norm";
1772 static const char __pyx_k_pure[] =
"pure";
1773 static const char __pyx_k_quad[] =
"quad";
1774 static const char __pyx_k_send[] =
"send";
1775 static const char __pyx_k_sinh[] =
"sinh";
1776 static const char __pyx_k_sqrt[] =
"sqrt";
1777 static const char __pyx_k_tanh[] =
"tanh";
1778 static const char __pyx_k_test[] =
"_test";
1779 static const char __pyx_k_0_8_2[] =
"0.8.2";
1780 static const char __pyx_k_acosh[] =
"acosh";
1781 static const char __pyx_k_asinh[] =
"asinh";
1782 static const char __pyx_k_atanh[] =
"atanh";
1783 static const char __pyx_k_close[] =
"close";
1784 static const char __pyx_k_grade[] =
"grade";
1785 static const char __pyx_k_istpq[] =
"istpq";
1786 static const char __pyx_k_nbar3[] =
"nbar3";
1787 static const char __pyx_k_ninf3[] =
"ninf3";
1788 static const char __pyx_k_other[] =
"other";
1789 static const char __pyx_k_range[] =
"range";
1790 static const char __pyx_k_throw[] =
"throw";
1791 static const char __pyx_k_using[] =
" using (";
1792 static const char __pyx_k_value[] =
" value ";
1793 static const char __pyx_k_import[] =
"__import__";
1794 static const char __pyx_k_reduce[] =
"__reduce__";
1795 static const char __pyx_k_scalar[] =
"scalar";
1796 static const char __pyx_k_test_2[] =
"__test__";
1797 static const char __pyx_k_xrange[] =
"xrange";
1798 static const char __pyx_k_doctest[] =
"doctest";
1799 static const char __pyx_k_invalid[] =
" invalid ";
1800 static const char __pyx_k_numbers[] =
"numbers";
1801 static const char __pyx_k_reverse[] =
"reverse";
1802 static const char __pyx_k_testmod[] =
"testmod";
1803 static const char __pyx_k_version[] =
"__version__";
1804 static const char __pyx_k_Integral[] =
"Integral";
1805 static const char __pyx_k_PyClical[] =
"PyClical";
1806 static const char __pyx_k_Sequence[] =
"Sequence";
1807 static const char __pyx_k_as_frame[] =
" as frame:\n\t";
1808 static const char __pyx_k_clifford[] =
"clifford";
1809 static const char __pyx_k_getstate[] =
"__getstate__";
1810 static const char __pyx_k_involute[] =
"involute";
1811 static const char __pyx_k_setstate[] =
"__setstate__";
1812 static const char __pyx_k_to_frame[] =
" to frame ";
1813 static const char __pyx_k_TypeError[] =
"TypeError";
1814 static const char __pyx_k_index_set[] =
"index_set";
1815 static const char __pyx_k_outer_pow[] =
"outer_pow";
1816 static const char __pyx_k_reduce_ex[] =
"__reduce_ex__";
1817 static const char __pyx_k_IndexError[] =
"IndexError";
1818 static const char __pyx_k_ValueError[] =
"ValueError";
1819 static const char __pyx_k_pyx_vtable[] =
"__pyx_vtable__";
1820 static const char __pyx_k_collections[] =
"collections";
1821 static const char __pyx_k_e_line_1887[] =
"e (line 1887)";
1822 static const char __pyx_k_PyClical_pyx[] =
"PyClical.pyx";
1823 static const char __pyx_k_RuntimeError[] =
"RuntimeError";
1824 static const char __pyx_k_abs_line_1473[] =
"abs (line 1473)";
1825 static const char __pyx_k_cos_line_1602[] =
"cos (line 1602)";
1826 static const char __pyx_k_exp_line_1565[] =
"exp (line 1565)";
1827 static const char __pyx_k_inv_line_1329[] =
"inv (line 1329)";
1828 static const char __pyx_k_log_line_1579[] =
"log (line 1579)";
1829 static const char __pyx_k_odd_line_1397[] =
"odd (line 1397)";
1830 static const char __pyx_k_pow_line_1494[] =
"pow (line 1494)";
1831 static const char __pyx_k_reduce_cython[] =
"__reduce_cython__";
1832 static const char __pyx_k_sin_line_1679[] =
"sin (line 1679)";
1833 static const char __pyx_k_tan_line_1752[] =
"tan (line 1752)";
1834 static const char __pyx_k_using_invalid[] =
" using invalid ";
1835 static const char __pyx_k_Cannot_reframe[] =
"Cannot reframe";
1836 static const char __pyx_k_NotImplemented[] =
"NotImplemented";
1837 static const char __pyx_k_Not_applicable[] =
"Not applicable.";
1838 static const char __pyx_k_acos_line_1619[] =
"acos (line 1619)";
1839 static const char __pyx_k_agc3_line_1844[] =
"agc3 (line 1844)";
1840 static const char __pyx_k_asin_line_1698[] =
"asin (line 1698)";
1841 static const char __pyx_k_atan_line_1769[] =
"atan (line 1769)";
1842 static const char __pyx_k_cga3_line_1824[] =
"cga3 (line 1824)";
1843 static const char __pyx_k_conj_line_1436[] =
"conj (line 1436)";
1844 static const char __pyx_k_cosh_line_1640[] =
"cosh (line 1640)";
1845 static const char __pyx_k_even_line_1388[] =
"even (line 1388)";
1846 static const char __pyx_k_imag_line_1366[] =
"imag (line 1366)";
1847 static const char __pyx_k_invalid_string[] =
" invalid string ";
1848 static const char __pyx_k_norm_line_1462[] =
"norm (line 1462)";
1849 static const char __pyx_k_pure_line_1377[] =
"pure (line 1377)";
1850 static const char __pyx_k_quad_line_1451[] =
"quad (line 1451)";
1851 static const char __pyx_k_real_line_1355[] =
"real (line 1355)";
1852 static const char __pyx_k_sinh_line_1719[] =
"sinh (line 1719)";
1853 static const char __pyx_k_sqrt_line_1542[] =
"sqrt (line 1542)";
1854 static const char __pyx_k_tanh_line_1786[] =
"tanh (line 1786)";
1855 static const char __pyx_k_acosh_line_1656[] =
"acosh (line 1656)";
1856 static const char __pyx_k_asinh_line_1733[] =
"asinh (line 1733)";
1857 static const char __pyx_k_atanh_line_1798[] =
"atanh (line 1798)";
1858 static const char __pyx_k_istpq_line_1900[] =
"istpq (line 1900)";
1859 static const char __pyx_k_setstate_cython[] =
"__setstate_cython__";
1860 static const char __pyx_k_compare_line_490[] =
"compare (line 490)";
1861 static const char __pyx_k_index_set___iter[] =
"index_set.__iter__";
1862 static const char __pyx_k_max_pos_line_511[] =
"max_pos (line 511)";
1863 static const char __pyx_k_min_neg_line_502[] =
"min_neg (line 502)";
1864 static const char __pyx_k_scalar_line_1344[] =
"scalar (line 1344)";
1865 static const char __pyx_k_cga3std_line_1833[] =
"cga3std (line 1833)";
1866 static const char __pyx_k_max_abs_line_1482[] =
"max_abs (line 1482)";
1867 static const char __pyx_k_reverse_line_1421[] =
"reverse (line 1421)";
1868 static const char __pyx_k_cline_in_traceback[] =
"cline_in_traceback";
1869 static const char __pyx_k_involute_line_1406[] =
"involute (line 1406)";
1870 static const char __pyx_k_outer_pow_line_1518[] =
"outer_pow (line 1518)";
1871 static const char __pyx_k_clifford_inv_line_925[] =
"clifford.inv (line 925)";
1872 static const char __pyx_k_clifford_pow_line_979[] =
"clifford.pow (line 979)";
1873 static const char __pyx_k_clifford_abs_line_1174[] =
"clifford.abs (line 1174)";
1874 static const char __pyx_k_clifford_copy_line_554[] =
"clifford.copy (line 554)";
1875 static const char __pyx_k_clifford_odd_line_1069[] =
"clifford.odd (line 1069)";
1876 static const char __pyx_k_complexifier_line_1527[] =
"complexifier (line 1527)";
1877 static const char __pyx_k_index_set_copy_line_64[] =
"index_set.copy (line 64)";
1878 static const char __pyx_k_index_set_max_line_349[] =
"index_set.max (line 349)";
1879 static const char __pyx_k_index_set_min_line_340[] =
"index_set.min (line 340)";
1880 static const char __pyx_k_clifford_conj_line_1137[] =
"clifford.conj (line 1137)";
1881 static const char __pyx_k_clifford_even_line_1060[] =
"clifford.even (line 1060)";
1882 static const char __pyx_k_clifford_norm_line_1163[] =
"clifford.norm (line 1163)";
1883 static const char __pyx_k_clifford_pure_line_1049[] =
"clifford.pure (line 1049)";
1884 static const char __pyx_k_clifford_quad_line_1152[] =
"clifford.quad (line 1152)";
1885 static const char __pyx_k_Unary_print_clifford_1_1[] =
"\n Unary -.\n\n >>> print -clifford(\"{1}\")\n -{1}\n ";
1886 static const char __pyx_k_clifford___or___line_938[] =
"clifford.__or__ (line 938)";
1887 static const char __pyx_k_clifford_frame_line_1214[] =
"clifford.frame (line 1214)";
1888 static const char __pyx_k_clifford_hidden_doctests[] =
"clifford_hidden_doctests";
1889 static const char __pyx_k_clifford_isnan_line_1205[] =
"clifford.isnan (line 1205)";
1890 static const char __pyx_k_index_set_count_line_313[] =
"index_set.count (line 313)";
1891 static const char __pyx_k_clifford___add___line_739[] =
"clifford.__add__ (line 739)";
1892 static const char __pyx_k_clifford___and___line_835[] =
"clifford.__and__ (line 835)";
1893 static const char __pyx_k_clifford___div___line_895[] =
"clifford.__div__ (line 895)";
1894 static const char __pyx_k_clifford___ior___line_949[] =
"clifford.__ior__ (line 949)";
1895 static const char __pyx_k_clifford___mod___line_805[] =
"clifford.__mod__ (line 805)";
1896 static const char __pyx_k_clifford___mul___line_779[] =
"clifford.__mul__ (line 779)";
1897 static const char __pyx_k_clifford___neg___line_721[] =
"clifford.__neg__ (line 721)";
1898 static const char __pyx_k_clifford___pos___line_730[] =
"clifford.__pos__ (line 730)";
1899 static const char __pyx_k_clifford___pow___line_960[] =
"clifford.__pow__ (line 960)";
1900 static const char __pyx_k_clifford___sub___line_759[] =
"clifford.__sub__ (line 759)";
1901 static const char __pyx_k_clifford___xor___line_865[] =
"clifford.__xor__ (line 865)";
1902 static const char __pyx_k_clifford_reframe_line_648[] =
"clifford.reframe (line 648)";
1903 static const char __pyx_k_clifford_scalar_line_1038[] =
"clifford.scalar (line 1038)";
1904 static const char __pyx_k_index_set___or___line_291[] =
"index_set.__or__ (line 291)";
1905 static const char __pyx_k_index_set_hidden_doctests[] =
"index_set_hidden_doctests";
1906 static const char __pyx_k_random_clifford_line_1815[] =
"random_clifford (line 1815)";
1907 static const char __pyx_k_Cannot_take_vector_part_of[] =
"Cannot take vector part of ";
1908 static const char __pyx_k_Unary_print_clifford_1_1_2[] =
"\n Unary +.\n\n >>> print +clifford(\"{1}\")\n {1}\n ";
1909 static const char __pyx_k_clifford___iadd___line_750[] =
"clifford.__iadd__ (line 750)";
1910 static const char __pyx_k_clifford___iand___line_850[] =
"clifford.__iand__ (line 850)";
1911 static const char __pyx_k_clifford___idiv___line_910[] =
"clifford.__idiv__ (line 910)";
1912 static const char __pyx_k_clifford___imod___line_820[] =
"clifford.__imod__ (line 820)";
1913 static const char __pyx_k_clifford___imul___line_792[] =
"clifford.__imul__ (line 792)";
1914 static const char __pyx_k_clifford___isub___line_770[] =
"clifford.__isub__ (line 770)";
1915 static const char __pyx_k_clifford___iter___line_637[] =
"clifford.__iter__ (line 637)";
1916 static const char __pyx_k_clifford___ixor___line_880[] =
"clifford.__ixor__ (line 880)";
1917 static const char __pyx_k_clifford___str___line_1234[] =
"clifford.__str__ (line 1234)";
1918 static const char __pyx_k_clifford_max_abs_line_1183[] =
"clifford.max_abs (line 1183)";
1919 static const char __pyx_k_clifford_reverse_line_1122[] =
"clifford.reverse (line 1122)";
1920 static const char __pyx_k_index_set___and___line_269[] =
"index_set.__and__ (line 269)";
1921 static const char __pyx_k_index_set___ior___line_302[] =
"index_set.__ior__ (line 302)";
1922 static const char __pyx_k_index_set___str___line_393[] =
"index_set.__str__ (line 393)";
1923 static const char __pyx_k_index_set___xor___line_247[] =
"index_set.__xor__ (line 247)";
1924 static const char __pyx_k_clifford___call___line_1019[] =
"clifford.__call__ (line 1019)";
1925 static const char __pyx_k_clifford___repr___line_1225[] =
"clifford.__repr__ (line 1225)";
1926 static const char __pyx_k_clifford_involute_line_1106[] =
"clifford.involute (line 1106)";
1927 static const char __pyx_k_index_set___iand___line_280[] =
"index_set.__iand__ (line 280)";
1928 static const char __pyx_k_index_set___iter___line_227[] =
"index_set.__iter__ (line 227)";
1929 static const char __pyx_k_index_set___ixor___line_258[] =
"index_set.__ixor__ (line 258)";
1930 static const char __pyx_k_index_set___repr___line_382[] =
"index_set.__repr__ (line 382)";
1931 static const char __pyx_k_clifford_outer_pow_line_1003[] =
"clifford.outer_pow (line 1003)";
1932 static const char __pyx_k_clifford_truncated_line_1194[] =
"clifford.truncated (line 1194)";
1933 static const char __pyx_k_index_set_count_neg_line_322[] =
"index_set.count_neg (line 322)";
1934 static const char __pyx_k_index_set_count_pos_line_331[] =
"index_set.count_pos (line 331)";
1935 static const char __pyx_k_clifford___getitem___line_706[] =
"clifford.__getitem__ (line 706)";
1936 static const char __pyx_k_index_set___invert___line_238[] =
"index_set.__invert__ (line 238)";
1937 static const char __pyx_k_Abbreviation_for_index_set_q_p[] =
"\n Abbreviation for index_set({-q,...p}).\n\n >>> print istpq(2,3)\n {-3,-2,-1,1,2}\n ";
1938 static const char __pyx_k_Conjugation_reverse_o_involute[] =
"\n Conjugation, reverse o involute == involute o reverse.\n\n >>> print (clifford(\"{1}\")).conj()\n -{1}\n >>> print (clifford(\"{2}\") * clifford(\"{1}\")).conj()\n {1,2}\n >>> print (clifford(\"{1}\") * clifford(\"{2}\")).conj()\n -{1,2}\n >>> print clifford(\"1+{1}+{1,2}\").conj()\n 1-{1}-{1,2}\n ";
1939 static const char __pyx_k_Geometric_product_x_clifford_2[] =
"\n Geometric product.\n\n >>> x = clifford(2); x *= clifford(\"{2}\"); print x\n 2{2}\n >>> x = clifford(\"{1}\"); x *= clifford(\"{2}\"); print x\n {1,2}\n >>> x = clifford(\"{1}\"); x *= clifford(\"{1,2}\"); print x\n {2}\n ";
1940 static const char __pyx_k_Geometric_sum_print_clifford_1[] =
"\n Geometric sum.\n\n >>> print clifford(1) + clifford(\"{2}\")\n 1+{2}\n >>> print clifford(\"{1}\") + clifford(\"{2}\")\n {1}+{2}\n ";
1941 static const char __pyx_k_Hyperbolic_sine_of_multivector[] =
"\n Hyperbolic sine of multivector.\n\n >>> x=clifford(\"{1,2}\") * pi/2; print sinh(x)\n {1,2}\n >>> x=clifford(\"{1,2}\") * pi/6; print sinh(x)\n 0.5{1,2}\n ";
1942 static const char __pyx_k_Inner_product_print_clifford_1[] =
"\n Inner product.\n\n >>> print clifford(\"{1}\") & clifford(\"{2}\")\n 0\n >>> print clifford(2) & clifford(\"{2}\")\n 0\n >>> print clifford(\"{1}\") & clifford(\"{1}\")\n 1\n >>> print clifford(\"{1}\") & clifford(\"{1,2}\")\n {2}\n ";
1943 static const char __pyx_k_Inverse_tangent_of_multivector[] =
"\n Inverse tangent of multivector with optional complexifier.\n\n >>> s=index_set({1,2,3}); x=clifford(\"{1}\"); print tan(atan(x,s),s)\n {1}\n >>> x=clifford(\"{1}\"); print tan(atan(x))\n {1}\n ";
1944 static const char __pyx_k_Iterate_over_the_indices_of_an[] =
"\n Iterate over the indices of an index_set.\n\n >>> for i in index_set({-3,4,7}): print i,\n -3 4 7\n ";
1945 static const char __pyx_k_Maximum_member_index_set_1_1_2[] =
"\n Maximum member.\n\n >>> index_set({-1,1,2}).max()\n 2\n ";
1946 static const char __pyx_k_Maximum_positive_index_or_0_if[] =
"\n Maximum positive index, or 0 if none.\n\n >>> max_pos(index_set({1,2}))\n 2\n ";
1947 static const char __pyx_k_Minimum_member_index_set_1_1_2[] =
"\n Minimum member.\n\n >>> index_set({-1,1,2}).min()\n -1\n ";
1948 static const char __pyx_k_Minimum_negative_index_or_0_if[] =
"\n Minimum negative index, or 0 if none.\n\n >>> min_neg(index_set({1,2}))\n 0\n ";
1949 static const char __pyx_k_Odd_part_of_multivector_sum_of[] =
"\n Odd part of multivector, sum of odd grade terms.\n\n >>> print clifford(\"1+{1}+{1,2}\").odd()\n {1}\n ";
1950 static const char __pyx_k_Outer_product_power_x_clifford[] =
"\n Outer product power.\n\n >>> x=clifford(\"2+{1}\"); print x.outer_pow(0)\n 1\n >>> x=clifford(\"2+{1}\"); print x.outer_pow(1)\n 2+{1}\n >>> x=clifford(\"2+{1}\"); print x.outer_pow(2)\n 4+4{1}\n >>> print clifford(\"1+{1}+{1,2}\").outer_pow(3)\n 1+3{1}+3{1,2}\n\n ";
1951 static const char __pyx_k_Outer_product_print_clifford_1[] =
"\n Outer product.\n\n >>> print clifford(\"{1}\") ^ clifford(\"{2}\")\n {1,2}\n >>> print clifford(2) ^ clifford(\"{2}\")\n 2{2}\n >>> print clifford(\"{1}\") ^ clifford(\"{1}\")\n 0\n >>> print clifford(\"{1}\") ^ clifford(\"{1,2}\")\n 0\n ";
1952 static const char __pyx_k_Power_self_to_the_m_x_clifford[] =
"\n Power: self to the m.\n\n >>> x=clifford(\"{1}\"); print x ** 2\n 1\n >>> x=clifford(\"2\"); print x ** 2\n 4\n >>> x=clifford(\"2+{1}\"); print x ** 0\n 1\n >>> x=clifford(\"2+{1}\"); print x ** 1\n 2+{1}\n >>> x=clifford(\"2+{1}\"); print x ** 2\n 5+4{1}\n >>> i=clifford(\"{1,2}\");print exp(pi/2) * (i ** i)\n 1\n ";
1953 static const char __pyx_k_Pure_part_print_clifford_1_1_1[] =
"\n Pure part.\n\n >>> print clifford(\"1+{1}+{1,2}\").pure()\n {1}+{1,2}\n >>> print clifford(\"{1,2}\").pure()\n {1,2}\n ";
1954 static const char __pyx_k_Quadratic_form_rev_x_x_0_print[] =
"\n Quadratic form == (rev(x)*x)(0).\n\n >>> print clifford(\"1+{1}+{1,2}\").quad()\n 3.0\n >>> print clifford(\"1+{-1}+{1,2}+{1,2,3}\").quad()\n 2.0\n ";
1955 static const char __pyx_k_Set_complement_not_print_index[] =
"\n Set complement: not.\n\n >>> print ~index_set({-16,-15,-14,-13,-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16})\n {-32,-31,-30,-29,-28,-27,-26,-25,-24,-23,-22,-21,-20,-19,-18,-17,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32}\n ";
1956 static const char __pyx_k_Set_union_or_print_index_set_1[] =
"\n Set union: or.\n\n >>> print index_set({1}) | index_set({2})\n {1,2}\n >>> print index_set({1,2}) | index_set({2})\n {1,2}\n ";
1957 static const char __pyx_k_Transform_left_hand_side_using[] =
"\n Transform left hand side, using right hand side as a transformation.\n\n >>> x=clifford(\"{1,2}\") * pi/2; y=clifford(\"{1}\"); print y|x\n -{1}\n >>> x=clifford(\"{1,2}\") * pi/2; y=clifford(\"{1}\"); print y|exp(x)\n -{1}\n ";
1958 static const char __pyx_k_clifford_vector_part_line_1078[] =
"clifford.vector_part (line 1078)";
1959 static const char __pyx_k_index_set___getitem___line_189[] =
"index_set.__getitem__ (line 189)";
1960 static const char __pyx_k_index_set___setitem___line_177[] =
"index_set.__setitem__ (line 177)";
1961 static const char __pyx_k_lexicographic_compare_eg_3_4_5[] =
"\n \"lexicographic compare\" eg. {3,4,5} is less than {3,7,8};\n -1 if a<b, +1 if a>b, 0 if a==b.\n\n >>> compare(index_set({1,2}),index_set({-1,3}))\n -1\n >>> compare(index_set({-1,4}),index_set({-1,3}))\n 1\n ";
1962 static const char __pyx_k_Abbreviation_for_clifford_index[] =
"\n Abbreviation for clifford(index_set(obj)).\n\n >>> print e(1)\n {1}\n >>> print e(-1)\n {-1}\n >>> print e(0)\n 1\n ";
1963 static const char __pyx_k_Absolute_value_of_multivector_m[] =
"\n Absolute value of multivector: multivector 2-norm.\n\n >>> abs(clifford(\"1+{-1}+{1,2}+{1,2,3}\"))\n 2.0\n ";
1964 static const char __pyx_k_Absolute_value_square_root_of_n[] =
"\n Absolute value: square root of norm.\n\n >>> clifford(\"1+{-1}+{1,2}+{1,2,3}\").abs()\n 2.0\n ";
1965 static const char __pyx_k_Cardinality_Number_of_indices_i[] =
"\n Cardinality: Number of indices included in set.\n\n >>> index_set({-1,1,2}).count()\n 3\n ";
1966 static const char __pyx_k_Check_if_a_multivector_contains[] =
"\n Check if a multivector contains any IEEE NaN values.\n\n >>> clifford().isnan()\n False\n ";
1967 static const char __pyx_k_Contraction_print_clifford_1_cl[] =
"\n Contraction.\n\n >>> print clifford(\"{1}\") % clifford(\"{2}\")\n 0\n >>> print clifford(2) % clifford(\"{2}\")\n 2{2}\n >>> print clifford(\"{1}\") % clifford(\"{1}\")\n 1\n >>> print clifford(\"{1}\") % clifford(\"{1,2}\")\n {2}\n ";
1968 static const char __pyx_k_Contraction_x_clifford_1_x_clif[] =
"\n Contraction.\n\n >>> x = clifford(\"{1}\"); x %= clifford(\"{2}\"); print x\n 0\n >>> x = clifford(2); x %= clifford(\"{2}\"); print x\n 2{2}\n >>> x = clifford(\"{1}\"); x %= clifford(\"{1}\"); print x\n 1\n >>> x = clifford(\"{1}\"); x %= clifford(\"{1,2}\"); print x\n {2}\n ";
1969 static const char __pyx_k_Convert_CGA3_null_vector_to_Euc[] =
"\n Convert CGA3 null vector to Euclidean 3D vector using Doran and Lasenby definition.\n\n >>> x=clifford(\"2{1}+9{2}+{3}\"); print agc3(cga3(x))\n 2{1}+9{2}+{3}\n >>> x=clifford(\"2{1}+9{2}+{3}\"); print agc3(cga3(x))-x\n 0\n ";
1970 static const char __pyx_k_Convert_CGA3_null_vector_to_sta[] =
"\n Convert CGA3 null vector to standard conformal null vector using Doran and Lasenby definition.\n\n >>> x=clifford(\"2{1}+9{2}+{3}\"); print cga3std(cga3(x))\n 87{-1}+4{1}+18{2}+2{3}+85{4}\n >>> x=clifford(\"2{1}+9{2}+{3}\"); print cga3std(cga3(x))-cga3(x)\n 0\n ";
1971 static const char __pyx_k_Convert_Euclidean_3D_multivecto[] =
"\n Convert Euclidean 3D multivector to Conformal Geometric Algebra using Doran and Lasenby definition.\n\n >>> x=clifford(\"2{1}+9{2}+{3}\"); print cga3(x)\n 87{-1}+4{1}+18{2}+2{3}+85{4}\n ";
1972 static const char __pyx_k_Copy_this_clifford_object_x_cli[] =
"\n Copy this clifford object.\n\n >>> x=clifford(\"1{2}\"); y=x.copy(); print y\n {2}\n ";
1973 static const char __pyx_k_Copy_this_index_set_object_s_in[] =
"\n Copy this index_set object.\n\n >>> s=index_set(1); t=s.copy(); print t\n {1}\n ";
1974 static const char __pyx_k_Cosine_of_multivector_with_opti[] =
"\n Cosine of multivector with optional complexifier.\n\n >>> x=clifford(\"{1,2}\"); print cos(acos(x),\"{1,2,3}\")\n {1,2}\n >>> x=clifford(\"{1,2}\"); print cos(acos(x))\n {1,2}\n ";
1975 static const char __pyx_k_Even_part_of_multivector_sum_of[] =
"\n Even part of multivector, sum of even grade terms.\n\n >>> print clifford(\"1+{1}+{1,2}\").even()\n 1+{1,2}\n ";
1976 static const char __pyx_k_Exponential_of_multivector_x_cl[] =
"\n Exponential of multivector.\n\n >>> x=clifford(\"{1,2}\") * pi/4; print exp(x)\n 0.7071+0.7071{1,2}\n >>> x=clifford(\"{1,2}\") * pi/2; print exp(x)\n {1,2}\n ";
1977 static const char __pyx_k_Geometric_difference_print_clif[] =
"\n Geometric difference.\n\n >>> print clifford(1) - clifford(\"{2}\")\n 1-{2}\n >>> print clifford(\"{1}\") - clifford(\"{2}\")\n {1}-{2}\n ";
1978 static const char __pyx_k_Geometric_difference_x_clifford[] =
"\n Geometric difference.\n\n >>> x = clifford(1); x -= clifford(\"{2}\"); print x\n 1-{2}\n ";
1979 static const char __pyx_k_Geometric_multiplicative_invers[] =
"\n Geometric multiplicative inverse.\n\n >>> x = clifford(\"{1}\"); print x.inv()\n {1}\n >>> x = clifford(2); print x.inv()\n 0.5\n >>> x = clifford(\"{1,2}\"); print x.inv()\n -{1,2}\n ";
1980 static const char __pyx_k_Geometric_product_print_cliffor[] =
"\n Geometric product.\n\n >>> print clifford(\"{1}\") * clifford(\"{2}\")\n {1,2}\n >>> print clifford(2) * clifford(\"{2}\")\n 2{2}\n >>> print clifford(\"{1}\") * clifford(\"{1,2}\")\n {2}\n ";
1981 static const char __pyx_k_Geometric_quotient_print_cliffo[] =
"\n Geometric quotient.\n\n >>> print clifford(\"{1}\") / clifford(\"{2}\")\n {1,2}\n >>> print clifford(2) / clifford(\"{2}\")\n 2{2}\n >>> print clifford(\"{1}\") / clifford(\"{1}\")\n 1\n >>> print clifford(\"{1}\") / clifford(\"{1,2}\")\n -{2}\n ";
1982 static const char __pyx_k_Geometric_quotient_x_clifford_1[] =
"\n Geometric quotient.\n\n >>> x = clifford(\"{1}\"); x /= clifford(\"{2}\"); print x\n {1,2}\n >>> x = clifford(2); x /= clifford(\"{2}\"); print x\n 2{2}\n >>> x = clifford(\"{1}\"); x /= clifford(\"{1}\"); print x\n 1\n >>> x = clifford(\"{1}\"); x /= clifford(\"{1,2}\"); print x\n -{2}\n ";
1983 static const char __pyx_k_Geometric_sum_x_clifford_1_x_cl[] =
"\n Geometric sum.\n\n >>> x = clifford(1); x += clifford(\"{2}\"); print x\n 1+{2}\n ";
1984 static const char __pyx_k_Get_the_value_of_an_index_set_o[] =
"\n Get the value of an index_set object at an index.\n\n >>> index_set({1})[1]\n True\n >>> index_set({1})[2]\n False\n >>> index_set({2})[-1]\n False\n >>> index_set({2})[1]\n False\n >>> index_set({2})[2]\n True\n >>> index_set({2})[33]\n False\n ";
1985 static const char __pyx_k_Hyperbolic_cosine_of_multivecto[] =
"\n Hyperbolic cosine of multivector.\n\n >>> x=clifford(\"{1,2}\") * pi; print cosh(x)\n -1\n >>> x=clifford(\"{1,2,3}\"); print cosh(acosh(x))\n {1,2,3}\n >>> x=clifford(\"{1,2}\"); print cosh(acosh(x))\n {1,2}\n ";
1986 static const char __pyx_k_Hyperbolic_tangent_of_multivect[] =
"\n Hyperbolic tangent of multivector.\n\n >>> x=clifford(\"{1,2}\") * pi/4; print tanh(x)\n {1,2}\n ";
1987 static const char __pyx_k_Imaginary_part_deprecated_alway[] =
"\n Imaginary part: deprecated (always 0).\n\n >>> imag(clifford(\"1+{1}+{1,2}\"))\n 0.0\n >>> imag(clifford(\"{1,2}\"))\n 0.0\n ";
1988 static const char __pyx_k_Inner_product_x_clifford_1_x_cl[] =
"\n Inner product.\n\n >>> x = clifford(\"{1}\"); x &= clifford(\"{2}\"); print x\n 0\n >>> x = clifford(2); x &= clifford(\"{2}\"); print x\n 0\n >>> x = clifford(\"{1}\"); x &= clifford(\"{1}\"); print x\n 1\n >>> x = clifford(\"{1}\"); x &= clifford(\"{1,2}\"); print x\n {2}\n ";
1989 static const char __pyx_k_Integer_power_of_multivector_ob[] =
"\n Integer power of multivector: obj to the m.\n\n >>> x=clifford(\"{1}\"); print pow(x,2)\n 1\n >>> x=clifford(\"2\"); print pow(x,2)\n 4\n >>> x=clifford(\"2+{1}\"); print pow(x,0)\n 1\n >>> x=clifford(\"2+{1}\"); print pow(x,1)\n 2+{1}\n >>> x=clifford(\"2+{1}\"); print pow(x,2)\n 5+4{1}\n >>> print pow(clifford(\"1+{1}+{1,2}\"),3)\n 1+3{1}+3{1,2}\n >>> i=clifford(\"{1,2}\");print exp(pi/2) * pow(i, i)\n 1\n ";
1990 static const char __pyx_k_Inverse_cosine_of_multivector_w[] =
"\n Inverse cosine of multivector with optional complexifier.\n\n >>> x=clifford(\"{1,2}\"); print cos(acos(x),\"{1,2,3}\")\n {1,2}\n >>> x=clifford(\"{1,2}\"); print cos(acos(x),\"{-1,1,2,3,4}\")\n {1,2}\n >>> print acos(0) / pi\n 0.5\n >>> x=clifford(\"{1,2}\"); print cos(acos(x))\n {1,2}\n ";
1991 static const char __pyx_k_Inverse_hyperbolic_cosine_of_mu[] =
"\n Inverse hyperbolic cosine of multivector with optional complexifier.\n\n >>> print acosh(0,\"{-2,-1,1}\")\n 1.571{-2,-1,1}\n >>> x=clifford(\"{1,2,3}\"); print cosh(acosh(x,\"{-1,1,2,3,4}\"))\n {1,2,3}\n >>> print acosh(0)\n 1.571{-1}\n >>> x=clifford(\"{1,2,3}\"); print cosh(acosh(x))\n {1,2,3}\n >>> x=clifford(\"{1,2}\"); print cosh(acosh(x))\n {1,2}\n ";
1992 static const char __pyx_k_Inverse_hyperbolic_sine_of_mult[] =
"\n Inverse hyperbolic sine of multivector with optional complexifier.\n\n >>> x=clifford(\"{1,2}\"); print asinh(x,\"{1,2,3}\") * 2/pi\n {1,2}\n >>> x=clifford(\"{1,2}\"); print asinh(x) * 2/pi\n {1,2}\n >>> x=clifford(\"{1,2}\") / 2; print asinh(x) * 6/pi\n {1,2}\n ";
1993 static const char __pyx_k_Inverse_hyperbolic_tangent_of_m[] =
"\n Inverse hyperbolic tangent of multivector with optional complexifier.\n\n >>> s=index_set({1,2,3}); x=clifford(\"{1,2}\"); print tanh(atanh(x,s))\n {1,2}\n >>> x=clifford(\"{1,2}\"); print tanh(atanh(x))\n {1,2}\n ";
1994 static const char __pyx_k_Inverse_sine_of_multivector_wit[] =
"\n Inverse sine of multivector with optional complexifier.\n\n >>> s=\"{-1}\"; x=clifford(s); print asin(sin(x,s),s)\n {-1}\n >>> s=\"{-1}\"; x=clifford(s); print asin(sin(x,s),\"{-2,-1,1}\")\n {-1}\n >>> print asin(1) / pi\n 0.5\n >>> x=clifford(\"{1,2,3}\"); print asin(sin(x))\n {1,2,3}\n ";
1995 static const char __pyx_k_Main_involution_each_i_is_repla[] =
"\n Main involution, each {i} is replaced by -{i} in each term,\n eg. clifford(\"{1}\") -> -clifford(\"{1}\").\n\n >>> print clifford(\"{1}\").involute()\n -{1}\n >>> print (clifford(\"{2}\") * clifford(\"{1}\")).involute()\n -{1,2}\n >>> print (clifford(\"{1}\") * clifford(\"{2}\")).involute()\n {1,2}\n >>> print clifford(\"1+{1}+{1,2}\").involute()\n 1-{1}+{1,2}\n ";
1996 static const char __pyx_k_Maximum_absolute_value_of_coord[] =
"\n Maximum absolute value of coordinates multivector: multivector infinity-norm.\n\n >>> max_abs(clifford(\"1+{-1}+{1,2}+{1,2,3}\"))\n 1.0\n >>> max_abs(clifford(\"3+2{1}+{1,2}\"))\n 3.0\n\n ";
1997 static const char __pyx_k_Maximum_of_absolute_values_of_c[] =
"\n Maximum of absolute values of components of multivector: multivector infinity norm.\n\n >>> clifford(\"1+{-1}+{1,2}+{1,2,3}\").max_abs()\n 1.0\n >>> clifford(\"3+2{1}+{1,2}\").max_abs()\n 3.0\n ";
1998 static const char __pyx_k_Natural_logarithm_of_multivecto[] =
"\n Natural logarithm of multivector with optional complexifier.\n\n >>> x=clifford(\"{-1}\"); print (log(x,\"{-1}\") * 2/pi)\n {-1}\n >>> x=clifford(\"{1,2}\"); print (log(x,\"{1,2,3}\") * 2/pi)\n {1,2}\n >>> x=clifford(\"{1,2}\"); print (log(x) * 2/pi)\n {1,2}\n >>> x=clifford(\"{1,2}\"); print (log(x,\"{1,2}\") * 2/pi)\n Traceback (most recent call last):\n ...\n RuntimeError: check_complex(val, i): i is not a valid complexifier for val\n ";
1999 static const char __pyx_k_Norm_sum_of_squares_of_coordina[] =
"\n Norm == sum of squares of coordinates.\n\n >>> clifford(\"1+{1}+{1,2}\").norm()\n 3.0\n >>> clifford(\"1+{-1}+{1,2}+{1,2,3}\").norm()\n 4.0\n ";
2000 static const char __pyx_k_Not_applicable_for_a_in_cliffor[] =
"\n Not applicable.\n\n >>> for a in clifford(index_set({-3,4,7})): print a,\n Traceback (most recent call last):\n ...\n TypeError: Not applicable.\n ";
2001 static const char __pyx_k_Number_of_negative_indices_incl[] =
"\n Number of negative indices included in set.\n\n >>> index_set({-1,1,2}).count_neg()\n 1\n ";
2002 static const char __pyx_k_Number_of_positive_indices_incl[] =
"\n Number of positive indices included in set.\n\n >>> index_set({-1,1,2}).count_pos()\n 2\n ";
2003 static const char __pyx_k_Outer_product_power_of_multivec[] =
"\n Outer product power of multivector.\n\n >>> print outer_pow(clifford(\"1+{1}+{1,2}\"),3)\n 1+3{1}+3{1,2}\n ";
2004 static const char __pyx_k_Outer_product_x_clifford_1_x_cl[] =
"\n Outer product.\n\n >>> x = clifford(\"{1}\"); x ^= clifford(\"{2}\"); print x\n {1,2}\n >>> x = clifford(2); x ^= clifford(\"{2}\"); print x\n 2{2}\n >>> x = clifford(\"{1}\"); x ^= clifford(\"{1}\"); print x\n 0\n >>> x = clifford(\"{1}\"); x ^= clifford(\"{1,2}\"); print x\n 0\n ";
2005 static const char __pyx_k_Pure_grade_vector_part_print_cl[] =
"\n Pure grade-vector part.\n\n >>> print clifford(\"{1}\")(1)\n {1}\n >>> print clifford(\"{1}\")(0)\n 0\n >>> print clifford(\"1+{1}+{1,2}\")(0)\n 1\n >>> print clifford(\"1+{1}+{1,2}\")(1)\n {1}\n >>> print clifford(\"1+{1}+{1,2}\")(2)\n {1,2}\n >>> print clifford(\"1+{1}+{1,2}\")(3)\n 0\n ";
2006 static const char __pyx_k_Pure_part_print_pure_clifford_1[] =
"\n Pure part\n\n >>> print pure(clifford(\"1+{1}+{1,2}\"))\n {1}+{1,2}\n >>> print pure(clifford(\"{1,2}\"))\n {1,2}\n ";
2007 static const char __pyx_k_Put_self_into_a_larger_frame_co[] =
"\n Put self into a larger frame, containing the union of self.frame() and index set ixt.\n This can be used to make multiplication faster, by multiplying within a common frame.\n\n >>> clifford(\"2+3{1}\").reframe(index_set({1,2,3}))\n clifford(\"2+3{1}\")\n >>> s=index_set({1,2,3});t=index_set({-3,-2,-1});x=random_clifford(s); x.reframe(t).frame() == (s|t);\n True\n ";
2008 static const char __pyx_k_Random_multivector_within_a_fra[] =
"\n Random multivector within a frame.\n\n >>> print random_clifford(index_set({-3,-1,2})).frame()\n {-3,-1,2}\n ";
2009 static const char __pyx_k_Real_part_synonym_for_scalar_pa[] =
"\n Real part: synonym for scalar part.\n\n >>> real(clifford(\"1+{1}+{1,2}\"))\n 1.0\n >>> real(clifford(\"{1,2}\"))\n 0.0\n ";
2010 static const char __pyx_k_Remove_all_terms_of_self_with_r[] =
"\n Remove all terms of self with relative size smaller than limit.\n\n >>> clifford(\"1e8+{1}+1e-8{1,2}\").truncated(1.0e-6)\n clifford(\"100000000\")\n >>> clifford(\"1e4+{1}+1e-4{1,2}\").truncated(1.0e-6)\n clifford(\"10000+{1}\")\n ";
2011 static const char __pyx_k_Reversion_eg_1_2_2_1_print_reve[] =
"\n Reversion, eg. {1}*{2} -> {2}*{1}\n\n >>> print reverse(clifford(\"{1}\"))\n {1}\n >>> print reverse(clifford(\"{2}\") * clifford(\"{1}\"))\n {1,2}\n >>> print reverse(clifford(\"{1}\") * clifford(\"{2}\"))\n -{1,2}\n >>> print reverse(clifford(\"1+{1}+{1,2}\"))\n 1+{1}-{1,2}\n ";
2012 static const char __pyx_k_Reversion_eg_clifford_1_cliffor[] =
"\n Reversion, eg. clifford(\"{1}\")*clifford(\"{2}\") -> clifford(\"{2}\")*clifford(\"{1}\").\n\n >>> print clifford(\"{1}\").reverse()\n {1}\n >>> print (clifford(\"{2}\") * clifford(\"{1}\")).reverse()\n {1,2}\n >>> print (clifford(\"{1}\") * clifford(\"{2}\")).reverse()\n -{1,2}\n >>> print clifford(\"1+{1}+{1,2}\").reverse()\n 1+{1}-{1,2}\n ";
2013 static const char __pyx_k_Scalar_part_clifford_1_1_1_2_sc[] =
"\n Scalar part.\n\n >>> clifford(\"1+{1}+{1,2}\").scalar()\n 1.0\n >>> clifford(\"{1,2}\").scalar()\n 0.0\n ";
2014 static const char __pyx_k_Scalar_part_scalar_clifford_1_1[] =
"\n Scalar part.\n\n >>> scalar(clifford(\"1+{1}+{1,2}\"))\n 1.0\n >>> scalar(clifford(\"{1,2}\"))\n 0.0\n ";
2015 static const char __pyx_k_Set_intersection_and_print_inde[] =
"\n Set intersection: and.\n\n >>> print index_set({1}) & index_set({2})\n {}\n >>> print index_set({1,2}) & index_set({2})\n {2}\n ";
2016 static const char __pyx_k_Set_intersection_and_x_index_se[] =
"\n Set intersection: and.\n\n >>> x = index_set({1}); x &= index_set({2}); print x\n {}\n >>> x = index_set({1,2}); x &= index_set({2}); print x\n {2}\n ";
2017 static const char __pyx_k_Set_the_value_of_an_index_set_o[] =
"\n Set the value of an index_set object at index idx to value val.\n\n >>> s=index_set({1}); s[2] = True; print s\n {1,2}\n >>> s=index_set({1,2}); s[1] = False; print s\n {2}\n ";
2018 static const char __pyx_k_Set_union_or_x_index_set_1_x_in[] =
"\n Set union: or.\n\n >>> x = index_set({1}); x |= index_set({2}); print x\n {1,2}\n >>> x = index_set({1,2}); x |= index_set({2}); print x\n {1,2}\n ";
2019 static const char __pyx_k_Sign_of_geometric_product_of_tw[] =
"\n Sign of geometric product of two Clifford basis elements.\n\n >>> s = index_set({1,2}); t=index_set({-1}); s.sign_of_mult(t)\n 1\n ";
2020 static const char __pyx_k_Sign_of_geometric_square_of_a_C[] =
"\n Sign of geometric square of a Clifford basis element.\n\n >>> s = index_set({1,2}); s.sign_of_square()\n -1\n ";
2021 static const char __pyx_k_Sine_of_multivector_with_option[] =
"\n Sine of multivector with optional complexifier.\n\n >>> s=\"{-1}\"; x=clifford(s); print asin(sin(x,s),s)\n {-1}\n >>> s=\"{-1}\"; x=clifford(s); print asin(sin(x,s),\"{-2,-1,1}\")\n {-1}\n >>> x=clifford(\"{1,2,3}\"); print asin(sin(x))\n {1,2,3}\n ";
2022 static const char __pyx_k_Square_root_of_1_which_commutes[] =
"\n Square root of -1 which commutes with all members of the frame of the given multivector.\n\n >>> print complexifier(clifford(index_set({1})))\n {1,2,3}\n >>> print complexifier(clifford(index_set({-1})))\n {-1}\n >>> print complexifier(index_set({1}))\n {1,2,3}\n >>> print complexifier(index_set({-1}))\n {-1}\n ";
2023 static const char __pyx_k_Square_root_of_multivector_with[] =
"\n Square root of multivector with optional complexifier.\n\n >>> print sqrt(-1)\n {-1}\n >>> print sqrt(clifford(\"2{-1}\"))\n 1+{-1}\n >>> j=sqrt(-1,complexifier(index_set({1}))); print j; print j*j\n {1,2,3}\n -1\n >>> j=sqrt(-1,\"{1,2,3}\"); print j; print j*j\n {1,2,3}\n -1\n ";
2024 static const char __pyx_k_Subalgebra_generated_by_all_gen[] =
"\n Subalgebra generated by all generators of terms of given multivector.\n\n >>> print clifford(\"1+3{-1}+2{1,2}+4{-2,7}\").frame()\n {-2,-1,1,2,7}\n >>> s=clifford(\"1+3{-1}+2{1,2}+4{-2,7}\").frame(); type(s)\n <type 'PyClical.index_set'>\n ";
2025 static const char __pyx_k_Subscripting_map_from_index_set[] =
"\n Subscripting: map from index set to scalar coordinate.\n\n >>> clifford(\"{1}\")[index_set(1)]\n 1.0\n >>> clifford(\"{1}\")[index_set({1})]\n 1.0\n >>> clifford(\"{1}\")[index_set({1,2})]\n 0.0\n >>> clifford(\"2{1,2}\")[index_set({1,2})]\n 2.0\n ";
2026 static const char __pyx_k_Symmetric_set_difference_exclus[] =
"\n Symmetric set difference: exclusive or.\n\n >>> print index_set({1}) ^ index_set({2})\n {1,2}\n >>> print index_set({1,2}) ^ index_set({2})\n {1}\n ";
2027 static const char __pyx_k_Tangent_of_multivector_with_opt[] =
"\n Tangent of multivector with optional complexifier.\n\n >>> x=clifford(\"{1,2}\"); print tan(x,\"{1,2,3}\")\n 0.7616{1,2}\n >>> x=clifford(\"{1,2}\"); print tan(x)\n 0.7616{1,2}\n ";
2028 static const char __pyx_k_Tests_for_functions_that_Doctes[] =
"\n Tests for functions that Doctest cannot see.\n\n For index_set.__cinit__: Construct index_set.\n\n >>> print index_set(1)\n {1}\n >>> print index_set({1,2})\n {1,2}\n >>> print index_set(index_set({1,2}))\n {1,2}\n >>> print index_set({1,2})\n {1,2}\n >>> print index_set({1,2,1})\n {1,2}\n >>> print index_set({1,2,1})\n {1,2}\n >>> print index_set(\"\")\n {}\n >>> print index_set(\"{\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize index_set object from invalid string '{'.\n >>> print index_set(\"{1\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize index_set object from invalid string '{1'.\n >>> print index_set(\"{1,2,100}\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize index_set object from invalid string '{1,2,100}'.\n >>> print index_set({1,2,100})\n Traceback (most recent call last):\n ...\n IndexError: Cannot initialize index_set object from invalid set([1, 2, 100]).\n >>> print index_set([1,2])\n Traceback (most recent call last):\n ...\n TypeError: Cannot initialize index_set object from <type 'list'>.\n\n For index_set.__richcmp__: Compare two objects of class index_set.\n\n >>> index_set(1) == index_set({1})\n True\n >>> index_set({1}) != index_set({1})\n False\n >>> index_set({1}) != index_set({2})\n True\n >>> index_set({1}) == index_set({2})\n False\n >>> index_set({1}) < index_set({2})\n True\n >>> index_set({1}) <= index_set({2})\n True\n >>> index_set({1}) > index_set({2})\n False\n >>> index_set({1}) >= index_set({2})\n False\n >>> None == index_set({1,2})\n False\n >>> None != index_set({1,2})\n True\n >>> None < index_set({1,2})\n False\n >>> None <= index_set({1,2})\n False\n >>> None > index_set({1,2})\n False\n >>> None >= index_set({1,2})\n False\n >>> index_se""t({1,2}) == None\n False\n >>> index_set({1,2}) != None\n True\n >>> index_set({1,2}) < None\n False\n >>> index_set({1,2}) <= None\n False\n >>> index_set({1,2}) > None\n False\n >>> index_set({1,2}) >= None\n False\n ";
2029 static const char __pyx_k_The_informal_string_representat[] =
"\n The \342\200\234informal\342\200\235 string representation of self.\n\n >>> index_set({1,2}).__str__()\n '{1,2}'\n >>> str(index_set({1,2}))\n '{1,2}'\n ";
2030 static const char __pyx_k_The_official_string_representat[] =
"\n The \342\200\234official\342\200\235 string representation of self.\n\n >>> index_set({1,2}).__repr__()\n 'index_set({1,2})'\n >>> repr(index_set({1,2}))\n 'index_set({1,2})'\n ";
2031 static const char __pyx_k_This_comparison_operator_is_not[] =
"This comparison operator is not implemented for ";
2032 static const char __pyx_k_Vector_part_of_multivector_as_a[] =
"\n Vector part of multivector, as a Python list, with respect to frm.\n\n >>> print clifford(\"1+2{1}+3{2}+4{1,2}\").vector_part()\n [2.0, 3.0]\n >>> print clifford(\"1+2{1}+3{2}+4{1,2}\").vector_part(index_set({-1,1,2}))\n [0.0, 2.0, 3.0]\n ";
2033 static const char __pyx_k_index_set_sign_of_mult_line_364[] =
"index_set.sign_of_mult (line 364)";
2034 static const char __pyx_k_norm_sum_of_squares_of_coordina[] =
"\n norm == sum of squares of coordinates.\n\n >>> norm(clifford(\"1+{1}+{1,2}\"))\n 3.0\n >>> norm(clifford(\"1+{-1}+{1,2}+{1,2,3}\"))\n 4.0\n ";
2035 static const char __pyx_k_Cannot_initialize_clifford_objec[] =
"Cannot initialize clifford object from";
2036 static const char __pyx_k_Cannot_initialize_index_set_obje[] =
"Cannot initialize index_set object from";
2037 static const char __pyx_k_Conjugation_reverse_o_involute_2[] =
"\n Conjugation, reverse o involute == involute o reverse.\n\n >>> print conj(clifford(\"{1}\"))\n -{1}\n >>> print conj(clifford(\"{2}\") * clifford(\"{1}\"))\n {1,2}\n >>> print conj(clifford(\"{1}\") * clifford(\"{2}\"))\n -{1,2}\n >>> print conj(clifford(\"1+{1}+{1,2}\"))\n 1-{1}-{1,2}\n ";
2038 static const char __pyx_k_Odd_part_of_multivector_sum_of_2[] =
"\n Odd part of multivector, sum of odd grade terms.\n\n >>> print odd(clifford(\"1+{1}+{1,2}\"))\n {1}\n ";
2039 static const char __pyx_k_Power_self_to_the_m_x_clifford_2[] =
"\n Power: self to the m.\n\n >>> x=clifford(\"{1}\"); print x.pow(2)\n 1\n >>> x=clifford(\"2\"); print x.pow(2)\n 4\n >>> x=clifford(\"2+{1}\"); print x.pow(0)\n 1\n >>> x=clifford(\"2+{1}\"); print x.pow(1)\n 2+{1}\n >>> x=clifford(\"2+{1}\"); print x.pow(2)\n 5+4{1}\n >>> print clifford(\"1+{1}+{1,2}\").pow(3)\n 1+3{1}+3{1,2}\n >>> i=clifford(\"{1,2}\");print exp(pi/2) * i.pow(i)\n 1\n ";
2040 static const char __pyx_k_Quadratic_form_rev_x_x_0_print_2[] =
"\n Quadratic form == (rev(x)*x)(0).\n\n >>> print quad(clifford(\"1+{1}+{1,2}\"))\n 3.0\n >>> print quad(clifford(\"1+{-1}+{1,2}+{1,2,3}\"))\n 2.0\n ";
2041 static const char __pyx_k_Transform_left_hand_side_using_2[] =
"\n Transform left hand side, using right hand side as a transformation.\n\n >>> x=clifford(\"{1,2}\") * pi/2; y=clifford(\"{1}\"); y|=x; print y\n -{1}\n >>> x=clifford(\"{1,2}\") * pi/2; y=clifford(\"{1}\"); y|=exp(x); print y\n -{1}\n ";
2042 static const char __pyx_k_clifford_hidden_doctests_line_12[] =
"clifford_hidden_doctests (line 1243)";
2043 static const char __pyx_k_index_set_hidden_doctests_line_4[] =
"index_set_hidden_doctests (line 404)";
2044 static const char __pyx_k_index_set_sign_of_square_line_37[] =
"index_set.sign_of_square (line 373)";
2045 static const char __pyx_k_no_default___reduce___due_to_non[] =
"no default __reduce__ due to non-trivial __cinit__";
2046 static const char __pyx_k_Even_part_of_multivector_sum_of_2[] =
"\n Even part of multivector, sum of even grade terms.\n\n >>> print even(clifford(\"1+{1}+{1,2}\"))\n 1+{1,2}\n ";
2047 static const char __pyx_k_Geometric_multiplicative_invers_2[] =
"\n Geometric multiplicative inverse.\n\n >>> print inv(clifford(\"{1}\"))\n {1}\n >>> print inv(clifford(\"{-1}\"))\n -{-1}\n >>> print inv(clifford(\"{-2,-1}\"))\n -{-2,-1}\n >>> print inv(clifford(\"{-1}+{1}\"))\n nan\n ";
2048 static const char __pyx_k_Main_involution_each_i_is_repla_2[] =
"\n Main involution, each {i} is replaced by -{i} in each term, eg. {1}*{2} -> (-{2})*(-{1})\n\n >>> print involute(clifford(\"{1}\"))\n -{1}\n >>> print involute(clifford(\"{2}\") * clifford(\"{1}\"))\n -{1,2}\n >>> print involute(clifford(\"{1}\") * clifford(\"{2}\"))\n {1,2}\n >>> print involute(clifford(\"1+{1}+{1,2}\"))\n 1-{1}+{1,2}\n ";
2049 static const char __pyx_k_Symmetric_set_difference_exclus_2[] =
"\n Symmetric set difference: exclusive or.\n\n >>> x = index_set({1}); x ^= index_set({2}); print x\n {1,2}\n >>> x = index_set({1,2}); x ^= index_set({2}); print x\n {1}\n ";
2050 static const char __pyx_k_Tests_for_functions_that_Doctes_2[] =
"\n Tests for functions that Doctest cannot see.\n\n For clifford.__cinit__: Construct an object of type clifford.\n\n >>> print clifford(2)\n 2\n >>> print clifford(2L)\n 2\n >>> print clifford(2.0)\n 2\n >>> print clifford(1.0e-1)\n 0.1\n >>> print clifford(\"2\")\n 2\n >>> print clifford(\"2{1,2,3}\")\n 2{1,2,3}\n >>> print clifford(clifford(\"2{1,2,3}\"))\n 2{1,2,3}\n >>> print clifford(\"-{1}\")\n -{1}\n >>> print clifford(2,index_set({1,2}))\n 2{1,2}\n >>> print clifford([2,3],index_set({1,2}))\n 2{1}+3{2}\n >>> print clifford([1,2])\n Traceback (most recent call last):\n ...\n TypeError: Cannot initialize clifford object from <type 'list'>.\n >>> print clifford(None)\n Traceback (most recent call last):\n ...\n TypeError: Cannot initialize clifford object from <type 'NoneType'>.\n >>> print clifford(None,[1,2])\n Traceback (most recent call last):\n ...\n TypeError: Cannot initialize clifford object from (<type 'NoneType'>, <type 'list'>).\n >>> print clifford([1,2],[1,2])\n Traceback (most recent call last):\n ...\n TypeError: Cannot initialize clifford object from (<type 'list'>, <type 'list'>).\n >>> print clifford(\"\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize clifford object from invalid string ''.\n >>> print clifford(\"{\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize clifford object from invalid string '{'.\n >>> print clifford(\"{1\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize clifford object from invalid string '{1'.\n >>> print clifford(\"+\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize clifford object from invalid string '+'.\n >>> print clifford(\"-\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize clifford"" object from invalid string '-'.\n >>> print clifford(\"{1}+\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize clifford object from invalid string '{1}+'.\n\n For clifford.__richcmp__: Compare objects of type clifford.\n\n >>> clifford(\"{1}\") == clifford(\"1{1}\")\n True\n >>> clifford(\"{1}\") != clifford(\"1.0{1}\")\n False\n >>> clifford(\"{1}\") != clifford(\"1.0\")\n True\n >>> clifford(\"{1,2}\") == None\n False\n >>> clifford(\"{1,2}\") != None\n True\n >>> None == clifford(\"{1,2}\")\n False\n >>> None != clifford(\"{1,2}\")\n True\n ";
2051 static const char __pyx_k_The_informal_string_representat_2[] =
"\n The \342\200\234informal\342\200\235 string representation of self.\n\n >>> clifford(\"1+3{-1}+2{1,2}+4{-2,7}\").__str__()\n '1+3{-1}+2{1,2}+4{-2,7}'\n ";
2052 static const char __pyx_k_The_official_string_representat_2[] =
"\n The \342\200\234official\342\200\235 string representation of self.\n\n >>> clifford(\"1+3{-1}+2{1,2}+4{-2,7}\").__repr__()\n 'clifford(\"1+3{-1}+2{1,2}+4{-2,7}\")'\n ";
2053 static PyObject *__pyx_kp_s_;
2054 static PyObject *__pyx_kp_s_0_8_2;
2055 static PyObject *__pyx_kp_u_Abbreviation_for_clifford_index;
2056 static PyObject *__pyx_kp_u_Abbreviation_for_index_set_q_p;
2057 static PyObject *__pyx_kp_u_Absolute_value_of_multivector_m;
2058 static PyObject *__pyx_kp_u_Absolute_value_square_root_of_n;
2059 static PyObject *__pyx_kp_s_Cannot_initialize_clifford_objec;
2060 static PyObject *__pyx_kp_s_Cannot_initialize_index_set_obje;
2061 static PyObject *__pyx_kp_s_Cannot_reframe;
2062 static PyObject *__pyx_kp_s_Cannot_take_vector_part_of;
2063 static PyObject *__pyx_kp_u_Cardinality_Number_of_indices_i;
2064 static PyObject *__pyx_kp_u_Check_if_a_multivector_contains;
2065 static PyObject *__pyx_kp_u_Conjugation_reverse_o_involute;
2066 static PyObject *__pyx_kp_u_Conjugation_reverse_o_involute_2;
2067 static PyObject *__pyx_kp_u_Contraction_print_clifford_1_cl;
2068 static PyObject *__pyx_kp_u_Contraction_x_clifford_1_x_clif;
2069 static PyObject *__pyx_kp_u_Convert_CGA3_null_vector_to_Euc;
2070 static PyObject *__pyx_kp_u_Convert_CGA3_null_vector_to_sta;
2071 static PyObject *__pyx_kp_u_Convert_Euclidean_3D_multivecto;
2072 static PyObject *__pyx_kp_u_Copy_this_clifford_object_x_cli;
2073 static PyObject *__pyx_kp_u_Copy_this_index_set_object_s_in;
2074 static PyObject *__pyx_kp_u_Cosine_of_multivector_with_opti;
2075 static PyObject *__pyx_kp_u_Even_part_of_multivector_sum_of;
2076 static PyObject *__pyx_kp_u_Even_part_of_multivector_sum_of_2;
2077 static PyObject *__pyx_kp_u_Exponential_of_multivector_x_cl;
2078 static PyObject *__pyx_kp_u_Geometric_difference_print_clif;
2079 static PyObject *__pyx_kp_u_Geometric_difference_x_clifford;
2080 static PyObject *__pyx_kp_u_Geometric_multiplicative_invers;
2081 static PyObject *__pyx_kp_u_Geometric_multiplicative_invers_2;
2082 static PyObject *__pyx_kp_u_Geometric_product_print_cliffor;
2083 static PyObject *__pyx_kp_u_Geometric_product_x_clifford_2;
2084 static PyObject *__pyx_kp_u_Geometric_quotient_print_cliffo;
2085 static PyObject *__pyx_kp_u_Geometric_quotient_x_clifford_1;
2086 static PyObject *__pyx_kp_u_Geometric_sum_print_clifford_1;
2087 static PyObject *__pyx_kp_u_Geometric_sum_x_clifford_1_x_cl;
2088 static PyObject *__pyx_kp_u_Get_the_value_of_an_index_set_o;
2089 static PyObject *__pyx_kp_u_Hyperbolic_cosine_of_multivecto;
2090 static PyObject *__pyx_kp_u_Hyperbolic_sine_of_multivector;
2091 static PyObject *__pyx_kp_u_Hyperbolic_tangent_of_multivect;
2092 static PyObject *__pyx_kp_u_Imaginary_part_deprecated_alway;
2093 static PyObject *__pyx_n_s_IndexError;
2094 static PyObject *__pyx_kp_u_Inner_product_print_clifford_1;
2095 static PyObject *__pyx_kp_u_Inner_product_x_clifford_1_x_cl;
2096 static PyObject *__pyx_kp_u_Integer_power_of_multivector_ob;
2097 static PyObject *__pyx_n_s_Integral;
2098 static PyObject *__pyx_kp_u_Inverse_cosine_of_multivector_w;
2099 static PyObject *__pyx_kp_u_Inverse_hyperbolic_cosine_of_mu;
2100 static PyObject *__pyx_kp_u_Inverse_hyperbolic_sine_of_mult;
2101 static PyObject *__pyx_kp_u_Inverse_hyperbolic_tangent_of_m;
2102 static PyObject *__pyx_kp_u_Inverse_sine_of_multivector_wit;
2103 static PyObject *__pyx_kp_u_Inverse_tangent_of_multivector;
2104 static PyObject *__pyx_kp_u_Iterate_over_the_indices_of_an;
2105 static PyObject *__pyx_kp_u_Main_involution_each_i_is_repla;
2106 static PyObject *__pyx_kp_u_Main_involution_each_i_is_repla_2;
2107 static PyObject *__pyx_kp_u_Maximum_absolute_value_of_coord;
2108 static PyObject *__pyx_kp_u_Maximum_member_index_set_1_1_2;
2109 static PyObject *__pyx_kp_u_Maximum_of_absolute_values_of_c;
2110 static PyObject *__pyx_kp_u_Maximum_positive_index_or_0_if;
2111 static PyObject *__pyx_kp_u_Minimum_member_index_set_1_1_2;
2112 static PyObject *__pyx_kp_u_Minimum_negative_index_or_0_if;
2113 static PyObject *__pyx_kp_u_Natural_logarithm_of_multivecto;
2114 static PyObject *__pyx_kp_u_Norm_sum_of_squares_of_coordina;
2115 static PyObject *__pyx_n_s_NotImplemented;
2116 static PyObject *__pyx_kp_s_Not_applicable;
2117 static PyObject *__pyx_kp_u_Not_applicable_for_a_in_cliffor;
2118 static PyObject *__pyx_kp_u_Number_of_negative_indices_incl;
2119 static PyObject *__pyx_kp_u_Number_of_positive_indices_incl;
2120 static PyObject *__pyx_kp_u_Odd_part_of_multivector_sum_of;
2121 static PyObject *__pyx_kp_u_Odd_part_of_multivector_sum_of_2;
2122 static PyObject *__pyx_kp_u_Outer_product_power_of_multivec;
2123 static PyObject *__pyx_kp_u_Outer_product_power_x_clifford;
2124 static PyObject *__pyx_kp_u_Outer_product_print_clifford_1;
2125 static PyObject *__pyx_kp_u_Outer_product_x_clifford_1_x_cl;
2126 static PyObject *__pyx_kp_u_Power_self_to_the_m_x_clifford;
2127 static PyObject *__pyx_kp_u_Power_self_to_the_m_x_clifford_2;
2128 static PyObject *__pyx_kp_u_Pure_grade_vector_part_print_cl;
2129 static PyObject *__pyx_kp_u_Pure_part_print_clifford_1_1_1;
2130 static PyObject *__pyx_kp_u_Pure_part_print_pure_clifford_1;
2131 static PyObject *__pyx_kp_u_Put_self_into_a_larger_frame_co;
2132 static PyObject *__pyx_n_s_PyClical;
2133 static PyObject *__pyx_kp_s_PyClical_pyx;
2134 static PyObject *__pyx_kp_u_Quadratic_form_rev_x_x_0_print;
2135 static PyObject *__pyx_kp_u_Quadratic_form_rev_x_x_0_print_2;
2136 static PyObject *__pyx_kp_u_Random_multivector_within_a_fra;
2137 static PyObject *__pyx_n_s_Real;
2138 static PyObject *__pyx_kp_u_Real_part_synonym_for_scalar_pa;
2139 static PyObject *__pyx_kp_u_Remove_all_terms_of_self_with_r;
2140 static PyObject *__pyx_kp_u_Reversion_eg_1_2_2_1_print_reve;
2141 static PyObject *__pyx_kp_u_Reversion_eg_clifford_1_cliffor;
2142 static PyObject *__pyx_n_s_RuntimeError;
2143 static PyObject *__pyx_kp_u_Scalar_part_clifford_1_1_1_2_sc;
2144 static PyObject *__pyx_kp_u_Scalar_part_scalar_clifford_1_1;
2145 static PyObject *__pyx_n_s_Sequence;
2146 static PyObject *__pyx_kp_u_Set_complement_not_print_index;
2147 static PyObject *__pyx_kp_u_Set_intersection_and_print_inde;
2148 static PyObject *__pyx_kp_u_Set_intersection_and_x_index_se;
2149 static PyObject *__pyx_kp_u_Set_the_value_of_an_index_set_o;
2150 static PyObject *__pyx_kp_u_Set_union_or_print_index_set_1;
2151 static PyObject *__pyx_kp_u_Set_union_or_x_index_set_1_x_in;
2152 static PyObject *__pyx_kp_u_Sign_of_geometric_product_of_tw;
2153 static PyObject *__pyx_kp_u_Sign_of_geometric_square_of_a_C;
2154 static PyObject *__pyx_kp_u_Sine_of_multivector_with_option;
2155 static PyObject *__pyx_kp_u_Square_root_of_1_which_commutes;
2156 static PyObject *__pyx_kp_u_Square_root_of_multivector_with;
2157 static PyObject *__pyx_kp_u_Subalgebra_generated_by_all_gen;
2158 static PyObject *__pyx_kp_u_Subscripting_map_from_index_set;
2159 static PyObject *__pyx_kp_u_Symmetric_set_difference_exclus;
2160 static PyObject *__pyx_kp_u_Symmetric_set_difference_exclus_2;
2161 static PyObject *__pyx_kp_u_Tangent_of_multivector_with_opt;
2162 static PyObject *__pyx_kp_u_Tests_for_functions_that_Doctes;
2163 static PyObject *__pyx_kp_u_Tests_for_functions_that_Doctes_2;
2164 static PyObject *__pyx_kp_u_The_informal_string_representat;
2165 static PyObject *__pyx_kp_u_The_informal_string_representat_2;
2166 static PyObject *__pyx_kp_u_The_official_string_representat;
2167 static PyObject *__pyx_kp_u_The_official_string_representat_2;
2168 static PyObject *__pyx_kp_s_This_comparison_operator_is_not;
2169 static PyObject *__pyx_kp_u_Transform_left_hand_side_using;
2170 static PyObject *__pyx_kp_u_Transform_left_hand_side_using_2;
2171 static PyObject *__pyx_n_s_TypeError;
2172 static PyObject *__pyx_kp_u_Unary_print_clifford_1_1;
2173 static PyObject *__pyx_kp_u_Unary_print_clifford_1_1_2;
2174 static PyObject *__pyx_n_s_ValueError;
2175 static PyObject *__pyx_kp_u_Vector_part_of_multivector_as_a;
2176 static PyObject *__pyx_kp_s__2;
2177 static PyObject *__pyx_kp_s__5;
2178 static PyObject *__pyx_kp_s__6;
2179 static PyObject *__pyx_kp_s__7;
2180 static PyObject *__pyx_kp_s__8;
2181 static PyObject *__pyx_kp_s__9;
2182 static PyObject *__pyx_kp_u_abs_line_1473;
2183 static PyObject *__pyx_n_s_acos;
2184 static PyObject *__pyx_kp_u_acos_line_1619;
2185 static PyObject *__pyx_n_s_acosh;
2186 static PyObject *__pyx_kp_u_acosh_line_1656;
2187 static PyObject *__pyx_kp_u_agc3_line_1844;
2188 static PyObject *__pyx_n_s_args;
2189 static PyObject *__pyx_kp_s_as_frame;
2190 static PyObject *__pyx_n_s_asin;
2191 static PyObject *__pyx_kp_u_asin_line_1698;
2192 static PyObject *__pyx_n_s_asinh;
2193 static PyObject *__pyx_kp_u_asinh_line_1733;
2194 static PyObject *__pyx_n_s_atan;
2195 static PyObject *__pyx_kp_u_atan_line_1769;
2196 static PyObject *__pyx_n_s_atanh;
2197 static PyObject *__pyx_kp_u_atanh_line_1798;
2198 static PyObject *__pyx_kp_u_cga3_line_1824;
2199 static PyObject *__pyx_kp_u_cga3std_line_1833;
2200 static PyObject *__pyx_n_s_cl;
2201 static PyObject *__pyx_n_s_clifford;
2202 static PyObject *__pyx_kp_u_clifford___add___line_739;
2203 static PyObject *__pyx_kp_u_clifford___and___line_835;
2204 static PyObject *__pyx_kp_u_clifford___call___line_1019;
2205 static PyObject *__pyx_kp_u_clifford___div___line_895;
2206 static PyObject *__pyx_kp_u_clifford___getitem___line_706;
2207 static PyObject *__pyx_kp_u_clifford___iadd___line_750;
2208 static PyObject *__pyx_kp_u_clifford___iand___line_850;
2209 static PyObject *__pyx_kp_u_clifford___idiv___line_910;
2210 static PyObject *__pyx_kp_u_clifford___imod___line_820;
2211 static PyObject *__pyx_kp_u_clifford___imul___line_792;
2212 static PyObject *__pyx_kp_u_clifford___ior___line_949;
2213 static PyObject *__pyx_kp_u_clifford___isub___line_770;
2214 static PyObject *__pyx_kp_u_clifford___iter___line_637;
2215 static PyObject *__pyx_kp_u_clifford___ixor___line_880;
2216 static PyObject *__pyx_kp_u_clifford___mod___line_805;
2217 static PyObject *__pyx_kp_u_clifford___mul___line_779;
2218 static PyObject *__pyx_kp_u_clifford___neg___line_721;
2219 static PyObject *__pyx_kp_u_clifford___or___line_938;
2220 static PyObject *__pyx_kp_u_clifford___pos___line_730;
2221 static PyObject *__pyx_kp_u_clifford___pow___line_960;
2222 static PyObject *__pyx_kp_u_clifford___repr___line_1225;
2223 static PyObject *__pyx_kp_u_clifford___str___line_1234;
2224 static PyObject *__pyx_kp_u_clifford___sub___line_759;
2225 static PyObject *__pyx_kp_u_clifford___xor___line_865;
2226 static PyObject *__pyx_kp_u_clifford_abs_line_1174;
2227 static PyObject *__pyx_kp_u_clifford_conj_line_1137;
2228 static PyObject *__pyx_kp_u_clifford_copy_line_554;
2229 static PyObject *__pyx_kp_u_clifford_even_line_1060;
2230 static PyObject *__pyx_kp_u_clifford_frame_line_1214;
2231 static PyObject *__pyx_n_s_clifford_hidden_doctests;
2232 static PyObject *__pyx_kp_u_clifford_hidden_doctests_line_12;
2233 static PyObject *__pyx_kp_u_clifford_inv_line_925;
2234 static PyObject *__pyx_kp_u_clifford_involute_line_1106;
2235 static PyObject *__pyx_kp_u_clifford_isnan_line_1205;
2236 static PyObject *__pyx_kp_u_clifford_max_abs_line_1183;
2237 static PyObject *__pyx_kp_u_clifford_norm_line_1163;
2238 static PyObject *__pyx_kp_u_clifford_odd_line_1069;
2239 static PyObject *__pyx_kp_u_clifford_outer_pow_line_1003;
2240 static PyObject *__pyx_kp_u_clifford_pow_line_979;
2241 static PyObject *__pyx_kp_u_clifford_pure_line_1049;
2242 static PyObject *__pyx_kp_u_clifford_quad_line_1152;
2243 static PyObject *__pyx_kp_u_clifford_reframe_line_648;
2244 static PyObject *__pyx_kp_u_clifford_reverse_line_1122;
2245 static PyObject *__pyx_kp_u_clifford_scalar_line_1038;
2246 static PyObject *__pyx_kp_u_clifford_truncated_line_1194;
2247 static PyObject *__pyx_kp_u_clifford_vector_part_line_1078;
2248 static PyObject *__pyx_n_s_cline_in_traceback;
2249 static PyObject *__pyx_n_s_close;
2250 static PyObject *__pyx_n_s_collections;
2251 static PyObject *__pyx_kp_u_compare_line_490;
2252 static PyObject *__pyx_kp_u_complexifier_line_1527;
2253 static PyObject *__pyx_n_s_conj;
2254 static PyObject *__pyx_kp_u_conj_line_1436;
2255 static PyObject *__pyx_n_s_copy;
2256 static PyObject *__pyx_n_s_cos;
2257 static PyObject *__pyx_kp_u_cos_line_1602;
2258 static PyObject *__pyx_n_s_cosh;
2259 static PyObject *__pyx_kp_u_cosh_line_1640;
2260 static PyObject *__pyx_n_s_doctest;
2261 static PyObject *__pyx_n_s_e;
2262 static PyObject *__pyx_kp_u_e_line_1887;
2263 static PyObject *__pyx_n_s_even;
2264 static PyObject *__pyx_kp_u_even_line_1388;
2265 static PyObject *__pyx_n_s_exp;
2266 static PyObject *__pyx_kp_u_exp_line_1565;
2267 static PyObject *__pyx_n_s_fill;
2268 static PyObject *__pyx_n_s_frm;
2269 static PyObject *__pyx_kp_s_from;
2270 static PyObject *__pyx_n_s_getstate;
2271 static PyObject *__pyx_n_s_grade;
2272 static PyObject *__pyx_n_s_i;
2273 static PyObject *__pyx_kp_u_imag_line_1366;
2274 static PyObject *__pyx_n_s_import;
2275 static PyObject *__pyx_n_s_index_set;
2276 static PyObject *__pyx_kp_u_index_set___and___line_269;
2277 static PyObject *__pyx_kp_u_index_set___getitem___line_189;
2278 static PyObject *__pyx_kp_u_index_set___iand___line_280;
2279 static PyObject *__pyx_kp_u_index_set___invert___line_238;
2280 static PyObject *__pyx_kp_u_index_set___ior___line_302;
2281 static PyObject *__pyx_n_s_index_set___iter;
2282 static PyObject *__pyx_kp_u_index_set___iter___line_227;
2283 static PyObject *__pyx_kp_u_index_set___ixor___line_258;
2284 static PyObject *__pyx_kp_u_index_set___or___line_291;
2285 static PyObject *__pyx_kp_u_index_set___repr___line_382;
2286 static PyObject *__pyx_kp_u_index_set___setitem___line_177;
2287 static PyObject *__pyx_kp_u_index_set___str___line_393;
2288 static PyObject *__pyx_kp_u_index_set___xor___line_247;
2289 static PyObject *__pyx_kp_u_index_set_copy_line_64;
2290 static PyObject *__pyx_kp_u_index_set_count_line_313;
2291 static PyObject *__pyx_kp_u_index_set_count_neg_line_322;
2292 static PyObject *__pyx_kp_u_index_set_count_pos_line_331;
2293 static PyObject *__pyx_n_s_index_set_hidden_doctests;
2294 static PyObject *__pyx_kp_u_index_set_hidden_doctests_line_4;
2295 static PyObject *__pyx_kp_u_index_set_max_line_349;
2296 static PyObject *__pyx_kp_u_index_set_min_line_340;
2297 static PyObject *__pyx_kp_u_index_set_sign_of_mult_line_364;
2298 static PyObject *__pyx_kp_u_index_set_sign_of_square_line_37;
2299 static PyObject *__pyx_n_s_inv;
2300 static PyObject *__pyx_kp_u_inv_line_1329;
2301 static PyObject *__pyx_kp_s_invalid;
2302 static PyObject *__pyx_kp_s_invalid_string;
2303 static PyObject *__pyx_n_s_involute;
2304 static PyObject *__pyx_kp_u_involute_line_1406;
2305 static PyObject *__pyx_n_s_ist;
2306 static PyObject *__pyx_n_s_istpq;
2307 static PyObject *__pyx_kp_u_istpq_line_1900;
2308 static PyObject *__pyx_n_s_iter;
2309 static PyObject *__pyx_n_s_ixt;
2310 static PyObject *__pyx_kp_u_lexicographic_compare_eg_3_4_5;
2311 static PyObject *__pyx_n_s_lhs;
2312 static PyObject *__pyx_n_s_log;
2313 static PyObject *__pyx_kp_u_log_line_1579;
2314 static PyObject *__pyx_n_s_m;
2315 static PyObject *__pyx_n_s_main;
2316 static PyObject *__pyx_n_s_math;
2317 static PyObject *__pyx_n_s_max;
2318 static PyObject *__pyx_kp_u_max_abs_line_1482;
2319 static PyObject *__pyx_kp_u_max_pos_line_511;
2320 static PyObject *__pyx_n_s_min;
2321 static PyObject *__pyx_kp_u_min_neg_line_502;
2322 static PyObject *__pyx_n_s_name;
2323 static PyObject *__pyx_n_s_nbar3;
2324 static PyObject *__pyx_n_s_ninf3;
2325 static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
2326 static PyObject *__pyx_n_s_norm;
2327 static PyObject *__pyx_kp_u_norm_line_1462;
2328 static PyObject *__pyx_kp_u_norm_sum_of_squares_of_coordina;
2329 static PyObject *__pyx_n_s_numbers;
2330 static PyObject *__pyx_n_s_obj;
2331 static PyObject *__pyx_n_s_odd;
2332 static PyObject *__pyx_kp_u_odd_line_1397;
2333 static PyObject *__pyx_n_s_other;
2334 static PyObject *__pyx_n_s_outer_pow;
2335 static PyObject *__pyx_kp_u_outer_pow_line_1518;
2336 static PyObject *__pyx_n_s_p;
2337 static PyObject *__pyx_n_s_pi;
2338 static PyObject *__pyx_n_s_pow;
2339 static PyObject *__pyx_kp_u_pow_line_1494;
2340 static PyObject *__pyx_n_s_pure;
2341 static PyObject *__pyx_kp_u_pure_line_1377;
2342 static PyObject *__pyx_n_s_pyx_vtable;
2343 static PyObject *__pyx_n_s_q;
2344 static PyObject *__pyx_n_s_quad;
2345 static PyObject *__pyx_kp_u_quad_line_1451;
2346 static PyObject *__pyx_kp_u_random_clifford_line_1815;
2347 static PyObject *__pyx_n_s_range;
2348 static PyObject *__pyx_kp_u_real_line_1355;
2349 static PyObject *__pyx_n_s_reduce;
2350 static PyObject *__pyx_n_s_reduce_cython;
2351 static PyObject *__pyx_n_s_reduce_ex;
2352 static PyObject *__pyx_n_s_reverse;
2353 static PyObject *__pyx_kp_u_reverse_line_1421;
2354 static PyObject *__pyx_n_s_rhs;
2355 static PyObject *__pyx_n_s_scalar;
2356 static PyObject *__pyx_kp_u_scalar_line_1344;
2357 static PyObject *__pyx_n_s_send;
2358 static PyObject *__pyx_n_s_setstate;
2359 static PyObject *__pyx_n_s_setstate_cython;
2360 static PyObject *__pyx_n_s_sin;
2361 static PyObject *__pyx_kp_u_sin_line_1679;
2362 static PyObject *__pyx_n_s_sinh;
2363 static PyObject *__pyx_kp_u_sinh_line_1719;
2364 static PyObject *__pyx_n_s_sqrt;
2365 static PyObject *__pyx_kp_u_sqrt_line_1542;
2366 static PyObject *__pyx_n_s_tan;
2367 static PyObject *__pyx_kp_u_tan_line_1752;
2368 static PyObject *__pyx_n_s_tanh;
2369 static PyObject *__pyx_kp_u_tanh_line_1786;
2370 static PyObject *__pyx_n_s_tau;
2371 static PyObject *__pyx_n_s_test;
2372 static PyObject *__pyx_n_s_test_2;
2373 static PyObject *__pyx_n_s_testmod;
2374 static PyObject *__pyx_n_s_throw;
2375 static PyObject *__pyx_kp_s_to_frame;
2376 static PyObject *__pyx_kp_s_using;
2377 static PyObject *__pyx_kp_s_using_invalid;
2378 static PyObject *__pyx_kp_s_value;
2379 static PyObject *__pyx_n_s_version;
2380 static PyObject *__pyx_n_s_xrange;
2381 static PyObject *__pyx_pf_8PyClical_9index_set_copy(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2382 static int __pyx_pf_8PyClical_9index_set_2__cinit__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_other);
2383 static void __pyx_pf_8PyClical_9index_set_4__dealloc__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2384 static PyObject *__pyx_pf_8PyClical_9index_set_6__richcmp__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_lhs, PyObject *__pyx_v_rhs,
int __pyx_v_op);
2385 static int __pyx_pf_8PyClical_9index_set_8__setitem__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx, PyObject *__pyx_v_val);
2386 static PyObject *__pyx_pf_8PyClical_9index_set_10__getitem__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx);
2387 static int __pyx_pf_8PyClical_9index_set_12__contains__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx);
2388 static PyObject *__pyx_pf_8PyClical_9index_set_14__iter__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2389 static PyObject *__pyx_pf_8PyClical_9index_set_17__invert__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2390 static PyObject *__pyx_pf_8PyClical_9index_set_19__xor__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2391 static PyObject *__pyx_pf_8PyClical_9index_set_21__ixor__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs);
2392 static PyObject *__pyx_pf_8PyClical_9index_set_23__and__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2393 static PyObject *__pyx_pf_8PyClical_9index_set_25__iand__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs);
2394 static PyObject *__pyx_pf_8PyClical_9index_set_27__or__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2395 static PyObject *__pyx_pf_8PyClical_9index_set_29__ior__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs);
2396 static PyObject *__pyx_pf_8PyClical_9index_set_31count(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2397 static PyObject *__pyx_pf_8PyClical_9index_set_33count_neg(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2398 static PyObject *__pyx_pf_8PyClical_9index_set_35count_pos(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2399 static PyObject *__pyx_pf_8PyClical_9index_set_37min(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2400 static PyObject *__pyx_pf_8PyClical_9index_set_39max(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2401 static PyObject *__pyx_pf_8PyClical_9index_set_41hash_fn(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2402 static PyObject *__pyx_pf_8PyClical_9index_set_43sign_of_mult(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs);
2403 static PyObject *__pyx_pf_8PyClical_9index_set_45sign_of_square(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2404 static PyObject *__pyx_pf_8PyClical_9index_set_47__repr__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2405 static PyObject *__pyx_pf_8PyClical_9index_set_49__str__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2406 static PyObject *__pyx_pf_8PyClical_9index_set_51__reduce_cython__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2407 static PyObject *__pyx_pf_8PyClical_9index_set_53__setstate_cython__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state);
2408 static PyObject *__pyx_pf_8PyClical_index_set_hidden_doctests(CYTHON_UNUSED PyObject *__pyx_self);
2409 static PyObject *__pyx_pf_8PyClical_2compare(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2410 static PyObject *__pyx_pf_8PyClical_4min_neg(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2411 static PyObject *__pyx_pf_8PyClical_6max_pos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2412 static PyObject *__pyx_pf_8PyClical_8clifford_copy(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2413 static int __pyx_pf_8PyClical_8clifford_2__cinit__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_other, PyObject *__pyx_v_ixt);
2414 static void __pyx_pf_8PyClical_8clifford_4__dealloc__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2415 static int __pyx_pf_8PyClical_8clifford_6__contains__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_x);
2416 static PyObject *__pyx_pf_8PyClical_8clifford_8__iter__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2417 static PyObject *__pyx_pf_8PyClical_8clifford_10reframe(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_ixt);
2418 static PyObject *__pyx_pf_8PyClical_8clifford_12__richcmp__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_lhs, PyObject *__pyx_v_rhs,
int __pyx_v_op);
2419 static PyObject *__pyx_pf_8PyClical_8clifford_14__getitem__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_ixt);
2420 static PyObject *__pyx_pf_8PyClical_8clifford_16__neg__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2421 static PyObject *__pyx_pf_8PyClical_8clifford_18__pos__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2422 static PyObject *__pyx_pf_8PyClical_8clifford_20__add__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2423 static PyObject *__pyx_pf_8PyClical_8clifford_22__iadd__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2424 static PyObject *__pyx_pf_8PyClical_8clifford_24__sub__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2425 static PyObject *__pyx_pf_8PyClical_8clifford_26__isub__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2426 static PyObject *__pyx_pf_8PyClical_8clifford_28__mul__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2427 static PyObject *__pyx_pf_8PyClical_8clifford_30__imul__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2428 static PyObject *__pyx_pf_8PyClical_8clifford_32__mod__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2429 static PyObject *__pyx_pf_8PyClical_8clifford_34__imod__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2430 static PyObject *__pyx_pf_8PyClical_8clifford_36__and__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2431 static PyObject *__pyx_pf_8PyClical_8clifford_38__iand__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2432 static PyObject *__pyx_pf_8PyClical_8clifford_40__xor__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2433 static PyObject *__pyx_pf_8PyClical_8clifford_42__ixor__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2434 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 2435 static PyObject *__pyx_pf_8PyClical_8clifford_44__div__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2437 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 2438 static PyObject *__pyx_pf_8PyClical_8clifford_46__idiv__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2440 static PyObject *__pyx_pf_8PyClical_8clifford_48inv(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2441 static PyObject *__pyx_pf_8PyClical_8clifford_50__or__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2442 static PyObject *__pyx_pf_8PyClical_8clifford_52__ior__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2443 static PyObject *__pyx_pf_8PyClical_8clifford_54__pow__(PyObject *__pyx_v_self, PyObject *__pyx_v_m, CYTHON_UNUSED PyObject *__pyx_v_dummy);
2444 static PyObject *__pyx_pf_8PyClical_8clifford_56pow(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_m);
2445 static PyObject *__pyx_pf_8PyClical_8clifford_58outer_pow(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_m);
2446 static PyObject *__pyx_pf_8PyClical_8clifford_60__call__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_grade);
2447 static PyObject *__pyx_pf_8PyClical_8clifford_62scalar(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2448 static PyObject *__pyx_pf_8PyClical_8clifford_64pure(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2449 static PyObject *__pyx_pf_8PyClical_8clifford_66even(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2450 static PyObject *__pyx_pf_8PyClical_8clifford_68odd(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2451 static PyObject *__pyx_pf_8PyClical_8clifford_70vector_part(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_frm);
2452 static PyObject *__pyx_pf_8PyClical_8clifford_72involute(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2453 static PyObject *__pyx_pf_8PyClical_8clifford_74reverse(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2454 static PyObject *__pyx_pf_8PyClical_8clifford_76conj(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2455 static PyObject *__pyx_pf_8PyClical_8clifford_78quad(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2456 static PyObject *__pyx_pf_8PyClical_8clifford_80norm(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2457 static PyObject *__pyx_pf_8PyClical_8clifford_82abs(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2458 static PyObject *__pyx_pf_8PyClical_8clifford_84max_abs(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2459 static PyObject *__pyx_pf_8PyClical_8clifford_86truncated(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_limit);
2460 static PyObject *__pyx_pf_8PyClical_8clifford_88isnan(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2461 static PyObject *__pyx_pf_8PyClical_8clifford_90frame(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2462 static PyObject *__pyx_pf_8PyClical_8clifford_92__repr__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2463 static PyObject *__pyx_pf_8PyClical_8clifford_94__str__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2464 static PyObject *__pyx_pf_8PyClical_8clifford_96__reduce_cython__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2465 static PyObject *__pyx_pf_8PyClical_8clifford_98__setstate_cython__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state);
2466 static PyObject *__pyx_pf_8PyClical_8clifford_hidden_doctests(CYTHON_UNUSED PyObject *__pyx_self);
2467 static PyObject *__pyx_pf_8PyClical_10inv(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2468 static PyObject *__pyx_pf_8PyClical_12scalar(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2469 static PyObject *__pyx_pf_8PyClical_14real(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2470 static PyObject *__pyx_pf_8PyClical_16imag(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2471 static PyObject *__pyx_pf_8PyClical_18pure(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2472 static PyObject *__pyx_pf_8PyClical_20even(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2473 static PyObject *__pyx_pf_8PyClical_22odd(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2474 static PyObject *__pyx_pf_8PyClical_24involute(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2475 static PyObject *__pyx_pf_8PyClical_26reverse(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2476 static PyObject *__pyx_pf_8PyClical_28conj(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2477 static PyObject *__pyx_pf_8PyClical_30quad(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2478 static PyObject *__pyx_pf_8PyClical_32norm(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2479 static PyObject *__pyx_pf_8PyClical_34abs(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2480 static PyObject *__pyx_pf_8PyClical_36max_abs(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2481 static PyObject *__pyx_pf_8PyClical_38pow(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_m);
2482 static PyObject *__pyx_pf_8PyClical_40outer_pow(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_m);
2483 static PyObject *__pyx_pf_8PyClical_42complexifier(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2484 static PyObject *__pyx_pf_8PyClical_44sqrt(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i);
2485 static PyObject *__pyx_pf_8PyClical_46exp(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2486 static PyObject *__pyx_pf_8PyClical_48log(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i);
2487 static PyObject *__pyx_pf_8PyClical_50cos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i);
2488 static PyObject *__pyx_pf_8PyClical_52acos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i);
2489 static PyObject *__pyx_pf_8PyClical_54cosh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2490 static PyObject *__pyx_pf_8PyClical_56acosh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i);
2491 static PyObject *__pyx_pf_8PyClical_58sin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i);
2492 static PyObject *__pyx_pf_8PyClical_60asin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i);
2493 static PyObject *__pyx_pf_8PyClical_62sinh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2494 static PyObject *__pyx_pf_8PyClical_64asinh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i);
2495 static PyObject *__pyx_pf_8PyClical_66tan(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i);
2496 static PyObject *__pyx_pf_8PyClical_68atan(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i);
2497 static PyObject *__pyx_pf_8PyClical_70tanh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2498 static PyObject *__pyx_pf_8PyClical_72atanh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i);
2499 static PyObject *__pyx_pf_8PyClical_74random_clifford(CYTHON_UNUSED PyObject *__pyx_self,
struct __pyx_obj_8PyClical_index_set *__pyx_v_ixt, PyObject *__pyx_v_fill);
2500 static PyObject *__pyx_pf_8PyClical_76cga3(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2501 static PyObject *__pyx_pf_8PyClical_78cga3std(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2502 static PyObject *__pyx_pf_8PyClical_80agc3(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2503 static PyObject *__pyx_pf_8PyClical_82e(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2504 static PyObject *__pyx_pf_8PyClical_84istpq(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_p, PyObject *__pyx_v_q);
2505 static PyObject *__pyx_pf_8PyClical_86_test(CYTHON_UNUSED PyObject *__pyx_self);
2506 static PyObject *__pyx_tp_new_8PyClical_index_set(PyTypeObject *t, PyObject *a, PyObject *k);
2507 static PyObject *__pyx_tp_new_8PyClical_clifford(PyTypeObject *t, PyObject *a, PyObject *k);
2508 static PyObject *__pyx_tp_new_8PyClical___pyx_scope_struct____iter__(PyTypeObject *t, PyObject *a, PyObject *k);
2509 static PyObject *__pyx_float_0_0;
2510 static PyObject *__pyx_float_1_0;
2511 static PyObject *__pyx_float_2_0;
2512 static PyObject *__pyx_float_8_0;
2513 static PyObject *__pyx_int_0;
2514 static PyObject *__pyx_int_1;
2515 static PyObject *__pyx_int_4;
2516 static PyObject *__pyx_int_neg_1;
2517 static PyObject *__pyx_tuple__3;
2518 static PyObject *__pyx_tuple__4;
2519 static PyObject *__pyx_tuple__10;
2520 static PyObject *__pyx_tuple__11;
2521 static PyObject *__pyx_tuple__12;
2522 static PyObject *__pyx_tuple__15;
2523 static PyObject *__pyx_tuple__16;
2524 static PyObject *__pyx_tuple__18;
2525 static PyObject *__pyx_tuple__20;
2526 static PyObject *__pyx_tuple__21;
2527 static PyObject *__pyx_tuple__22;
2528 static PyObject *__pyx_codeobj__13;
2529 static PyObject *__pyx_codeobj__14;
2530 static PyObject *__pyx_codeobj__17;
2531 static PyObject *__pyx_codeobj__19;
2532 static PyObject *__pyx_codeobj__23;
2543 static CYTHON_INLINE
IndexSet __pyx_f_8PyClical_toIndexSet(PyObject *__pyx_v_obj) {
2545 __Pyx_RefNannyDeclarations
2546 PyObject *__pyx_t_1 = NULL;
2547 __Pyx_RefNannySetupContext(
"toIndexSet", 0);
2556 __pyx_t_1 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_index_set), __pyx_v_obj);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 43, __pyx_L1_error)
2557 __Pyx_GOTREF(__pyx_t_1);
2558 __pyx_r = (((
struct __pyx_obj_8PyClical_index_set *)__pyx_t_1)->instance[0]);
2559 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
2572 __Pyx_XDECREF(__pyx_t_1);
2573 __Pyx_WriteUnraisable(
"PyClical.toIndexSet", __pyx_clineno, __pyx_lineno, __pyx_filename, 1, 0);
2574 __Pyx_pretend_to_initialize(&__pyx_r);
2576 __Pyx_RefNannyFinishContext();
2588 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_9index_set_wrap(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self,
IndexSet __pyx_v_other) {
2589 PyObject *__pyx_r = NULL;
2590 __Pyx_RefNannyDeclarations
2591 __Pyx_RefNannySetupContext(
"wrap", 0);
2600 (__pyx_v_self->instance[0]) = __pyx_v_other;
2609 __Pyx_XDECREF(__pyx_r);
2610 __Pyx_INCREF(((PyObject *)__pyx_v_self));
2611 __pyx_r = ((PyObject *)__pyx_v_self);
2624 __Pyx_XGIVEREF(__pyx_r);
2625 __Pyx_RefNannyFinishContext();
2637 static CYTHON_INLINE
IndexSet __pyx_f_8PyClical_9index_set_unwrap(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
2639 __Pyx_RefNannyDeclarations
2640 __Pyx_RefNannySetupContext(
"unwrap", 0);
2649 __pyx_r = (__pyx_v_self->instance[0]);
2662 __Pyx_RefNannyFinishContext();
2674 static PyObject *__pyx_pw_8PyClical_9index_set_1copy(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
2675 static PyObject *__pyx_f_8PyClical_9index_set_copy(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self,
int __pyx_skip_dispatch) {
2676 PyObject *__pyx_r = NULL;
2677 __Pyx_RefNannyDeclarations
2678 PyObject *__pyx_t_1 = NULL;
2679 PyObject *__pyx_t_2 = NULL;
2680 PyObject *__pyx_t_3 = NULL;
2681 PyObject *__pyx_t_4 = NULL;
2682 __Pyx_RefNannySetupContext(
"copy", 0);
2684 if (unlikely(__pyx_skip_dispatch)) ;
2686 else if (unlikely((Py_TYPE(((PyObject *)__pyx_v_self))->tp_dictoffset != 0) || (Py_TYPE(((PyObject *)__pyx_v_self))->tp_flags & (Py_TPFLAGS_IS_ABSTRACT | Py_TPFLAGS_HEAPTYPE)))) {
2687 #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS 2688 static PY_UINT64_T __pyx_tp_dict_version = __PYX_DICT_VERSION_INIT, __pyx_obj_dict_version = __PYX_DICT_VERSION_INIT;
2689 if (unlikely(!__Pyx_object_dict_version_matches(((PyObject *)__pyx_v_self), __pyx_tp_dict_version, __pyx_obj_dict_version))) {
2690 PY_UINT64_T __pyx_type_dict_guard = __Pyx_get_tp_dict_version(((PyObject *)__pyx_v_self));
2692 __pyx_t_1 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_self), __pyx_n_s_copy);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 64, __pyx_L1_error)
2693 __Pyx_GOTREF(__pyx_t_1);
2694 if (!PyCFunction_Check(__pyx_t_1) || (PyCFunction_GET_FUNCTION(__pyx_t_1) != (PyCFunction)(
void*)__pyx_pw_8PyClical_9index_set_1copy)) {
2695 __Pyx_XDECREF(__pyx_r);
2696 __Pyx_INCREF(__pyx_t_1);
2697 __pyx_t_3 = __pyx_t_1; __pyx_t_4 = NULL;
2698 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_3))) {
2699 __pyx_t_4 = PyMethod_GET_SELF(__pyx_t_3);
2700 if (likely(__pyx_t_4)) {
2701 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
2702 __Pyx_INCREF(__pyx_t_4);
2703 __Pyx_INCREF(
function);
2704 __Pyx_DECREF_SET(__pyx_t_3,
function);
2707 __pyx_t_2 = (__pyx_t_4) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_4) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
2708 __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
2709 if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 64, __pyx_L1_error)
2710 __Pyx_GOTREF(__pyx_t_2);
2711 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
2712 __pyx_r = __pyx_t_2;
2714 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
2717 #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS 2718 __pyx_tp_dict_version = __Pyx_get_tp_dict_version(((PyObject *)__pyx_v_self));
2719 __pyx_obj_dict_version = __Pyx_get_object_dict_version(((PyObject *)__pyx_v_self));
2720 if (unlikely(__pyx_type_dict_guard != __pyx_tp_dict_version)) {
2721 __pyx_tp_dict_version = __pyx_obj_dict_version = __PYX_DICT_VERSION_INIT;
2724 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
2725 #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS 2737 __Pyx_XDECREF(__pyx_r);
2738 __pyx_t_1 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_index_set), ((PyObject *)__pyx_v_self));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 71, __pyx_L1_error)
2739 __Pyx_GOTREF(__pyx_t_1);
2740 __pyx_r = __pyx_t_1;
2754 __Pyx_XDECREF(__pyx_t_1);
2755 __Pyx_XDECREF(__pyx_t_2);
2756 __Pyx_XDECREF(__pyx_t_3);
2757 __Pyx_XDECREF(__pyx_t_4);
2758 __Pyx_AddTraceback(
"PyClical.index_set.copy", __pyx_clineno, __pyx_lineno, __pyx_filename);
2761 __Pyx_XGIVEREF(__pyx_r);
2762 __Pyx_RefNannyFinishContext();
2767 static PyObject *__pyx_pw_8PyClical_9index_set_1copy(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
2768 static char __pyx_doc_8PyClical_9index_set_copy[] =
"\n Copy this index_set object.\n\n >>> s=index_set(1); t=s.copy(); print t\n {1}\n ";
2769 static PyObject *__pyx_pw_8PyClical_9index_set_1copy(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
2770 PyObject *__pyx_r = 0;
2771 __Pyx_RefNannyDeclarations
2772 __Pyx_RefNannySetupContext(
"copy (wrapper)", 0);
2773 __pyx_r = __pyx_pf_8PyClical_9index_set_copy(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
2776 __Pyx_RefNannyFinishContext();
2780 static PyObject *__pyx_pf_8PyClical_9index_set_copy(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
2781 PyObject *__pyx_r = NULL;
2782 __Pyx_RefNannyDeclarations
2783 PyObject *__pyx_t_1 = NULL;
2784 __Pyx_RefNannySetupContext(
"copy", 0);
2785 __Pyx_XDECREF(__pyx_r);
2786 __pyx_t_1 = __pyx_f_8PyClical_9index_set_copy(__pyx_v_self, 1);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 64, __pyx_L1_error)
2787 __Pyx_GOTREF(__pyx_t_1);
2788 __pyx_r = __pyx_t_1;
2794 __Pyx_XDECREF(__pyx_t_1);
2795 __Pyx_AddTraceback(
"PyClical.index_set.copy", __pyx_clineno, __pyx_lineno, __pyx_filename);
2798 __Pyx_XGIVEREF(__pyx_r);
2799 __Pyx_RefNannyFinishContext();
2812 static int __pyx_pw_8PyClical_9index_set_3__cinit__(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
2813 static int __pyx_pw_8PyClical_9index_set_3__cinit__(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
2814 PyObject *__pyx_v_other = 0;
2816 __Pyx_RefNannyDeclarations
2817 __Pyx_RefNannySetupContext(
"__cinit__ (wrapper)", 0);
2819 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_other,0};
2820 PyObject* values[1] = {0};
2821 values[0] = ((PyObject *)__pyx_int_0);
2822 if (unlikely(__pyx_kwds)) {
2824 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
2826 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
2829 default:
goto __pyx_L5_argtuple_error;
2831 kw_args = PyDict_Size(__pyx_kwds);
2835 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_other);
2836 if (value) { values[0] = value; kw_args--; }
2839 if (unlikely(kw_args > 0)) {
2840 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"__cinit__") < 0)) __PYX_ERR(0, 73, __pyx_L3_error)
2843 switch (PyTuple_GET_SIZE(__pyx_args)) {
2844 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
2847 default:
goto __pyx_L5_argtuple_error;
2850 __pyx_v_other = values[0];
2852 goto __pyx_L4_argument_unpacking_done;
2853 __pyx_L5_argtuple_error:;
2854 __Pyx_RaiseArgtupleInvalid(
"__cinit__", 0, 0, 1, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 73, __pyx_L3_error)
2856 __Pyx_AddTraceback(
"PyClical.index_set.__cinit__", __pyx_clineno, __pyx_lineno, __pyx_filename);
2857 __Pyx_RefNannyFinishContext();
2859 __pyx_L4_argument_unpacking_done:;
2860 __pyx_r = __pyx_pf_8PyClical_9index_set_2__cinit__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self), __pyx_v_other);
2863 __Pyx_RefNannyFinishContext();
2867 static int __pyx_pf_8PyClical_9index_set_2__cinit__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_other) {
2868 PyObject *__pyx_v_error_msg_prefix = NULL;
2869 PyObject *__pyx_v_idx = NULL;
2871 __Pyx_RefNannyDeclarations
2875 PyObject *__pyx_t_4 = NULL;
2876 PyObject *__pyx_t_5 = NULL;
2879 PyObject *__pyx_t_8 = NULL;
2880 PyObject *__pyx_t_9 = NULL;
2881 PyObject *__pyx_t_10 = NULL;
2882 Py_ssize_t __pyx_t_11;
2883 PyObject *(*__pyx_t_12)(PyObject *);
2884 PyObject *__pyx_t_13 = NULL;
2885 PyObject *__pyx_t_14 = NULL;
2886 PyObject *__pyx_t_15 = NULL;
2887 PyObject *__pyx_t_16 = NULL;
2889 __Pyx_RefNannySetupContext(
"__cinit__", 0);
2898 __Pyx_INCREF(__pyx_kp_s_Cannot_initialize_index_set_obje);
2899 __pyx_v_error_msg_prefix = __pyx_kp_s_Cannot_initialize_index_set_obje;
2908 __pyx_t_1 = __Pyx_TypeCheck(__pyx_v_other, __pyx_ptype_8PyClical_index_set);
2909 __pyx_t_2 = (__pyx_t_1 != 0);
2920 __pyx_t_3 =
new IndexSet(__pyx_f_8PyClical_9index_set_unwrap(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_other)));
2922 __Pyx_CppExn2PyErr();
2923 __PYX_ERR(0, 94, __pyx_L1_error)
2925 __pyx_v_self->instance = __pyx_t_3;
2944 __Pyx_GetModuleGlobalName(__pyx_t_4, __pyx_n_s_numbers);
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 95, __pyx_L1_error)
2945 __Pyx_GOTREF(__pyx_t_4);
2946 __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_Integral);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 95, __pyx_L1_error)
2947 __Pyx_GOTREF(__pyx_t_5);
2948 __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
2949 __pyx_t_2 = PyObject_IsInstance(__pyx_v_other, __pyx_t_5);
if (unlikely(__pyx_t_2 == ((
int)-1))) __PYX_ERR(0, 95, __pyx_L1_error)
2950 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
2951 __pyx_t_1 = (__pyx_t_2 != 0);
2961 __pyx_t_6 = __Pyx_PyInt_As_int(__pyx_v_other);
if (unlikely((__pyx_t_6 == (
int)-1) && PyErr_Occurred())) __PYX_ERR(0, 96, __pyx_L1_error)
2963 __pyx_t_3 =
new IndexSet(((
int)__pyx_t_6));
2965 __Pyx_CppExn2PyErr();
2966 __PYX_ERR(0, 96, __pyx_L1_error)
2968 __pyx_v_self->instance = __pyx_t_3;
2987 __pyx_t_2 = PySet_Check(__pyx_v_other);
2988 __pyx_t_7 = (__pyx_t_2 != 0);
2991 __pyx_t_1 = __pyx_t_7;
2992 goto __pyx_L4_bool_binop_done;
2994 __pyx_t_7 = PyFrozenSet_Check(__pyx_v_other);
2995 __pyx_t_2 = (__pyx_t_7 != 0);
2996 __pyx_t_1 = __pyx_t_2;
2997 __pyx_L4_bool_binop_done:;
2998 __pyx_t_2 = (__pyx_t_1 != 0);
3009 __Pyx_PyThreadState_declare
3010 __Pyx_PyThreadState_assign
3011 __Pyx_ExceptionSave(&__pyx_t_8, &__pyx_t_9, &__pyx_t_10);
3012 __Pyx_XGOTREF(__pyx_t_8);
3013 __Pyx_XGOTREF(__pyx_t_9);
3014 __Pyx_XGOTREF(__pyx_t_10);
3025 __pyx_v_self->instance = __pyx_t_3;
3034 if (likely(PyList_CheckExact(__pyx_v_other)) || PyTuple_CheckExact(__pyx_v_other)) {
3035 __pyx_t_5 = __pyx_v_other; __Pyx_INCREF(__pyx_t_5); __pyx_t_11 = 0;
3038 __pyx_t_11 = -1; __pyx_t_5 = PyObject_GetIter(__pyx_v_other);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 100, __pyx_L6_error)
3039 __Pyx_GOTREF(__pyx_t_5);
3040 __pyx_t_12 = Py_TYPE(__pyx_t_5)->tp_iternext;
if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 100, __pyx_L6_error)
3043 if (likely(!__pyx_t_12)) {
3044 if (likely(PyList_CheckExact(__pyx_t_5))) {
3045 if (__pyx_t_11 >= PyList_GET_SIZE(__pyx_t_5))
break;
3046 #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS 3047 __pyx_t_4 = PyList_GET_ITEM(__pyx_t_5, __pyx_t_11); __Pyx_INCREF(__pyx_t_4); __pyx_t_11++;
if (unlikely(0 < 0)) __PYX_ERR(0, 100, __pyx_L6_error)
3049 __pyx_t_4 = PySequence_ITEM(__pyx_t_5, __pyx_t_11); __pyx_t_11++;
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 100, __pyx_L6_error)
3050 __Pyx_GOTREF(__pyx_t_4);
3053 if (__pyx_t_11 >= PyTuple_GET_SIZE(__pyx_t_5))
break;
3054 #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS 3055 __pyx_t_4 = PyTuple_GET_ITEM(__pyx_t_5, __pyx_t_11); __Pyx_INCREF(__pyx_t_4); __pyx_t_11++;
if (unlikely(0 < 0)) __PYX_ERR(0, 100, __pyx_L6_error)
3057 __pyx_t_4 = PySequence_ITEM(__pyx_t_5, __pyx_t_11); __pyx_t_11++;
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 100, __pyx_L6_error)
3058 __Pyx_GOTREF(__pyx_t_4);
3062 __pyx_t_4 = __pyx_t_12(__pyx_t_5);
3063 if (unlikely(!__pyx_t_4)) {
3064 PyObject* exc_type = PyErr_Occurred();
3066 if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
3067 else __PYX_ERR(0, 100, __pyx_L6_error)
3071 __Pyx_GOTREF(__pyx_t_4);
3073 __Pyx_XDECREF_SET(__pyx_v_idx, __pyx_t_4);
3083 if (unlikely(PyObject_SetItem(((PyObject *)__pyx_v_self), __pyx_v_idx, Py_True) < 0)) __PYX_ERR(0, 101, __pyx_L6_error)
3093 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
3103 __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
3104 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
3105 __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
3106 goto __pyx_L11_try_end;
3108 __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
3109 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
3118 __pyx_t_6 = __Pyx_PyErr_ExceptionMatches(__pyx_builtin_IndexError);
3120 __Pyx_AddTraceback(
"PyClical.index_set.__cinit__", __pyx_clineno, __pyx_lineno, __pyx_filename);
3121 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_4, &__pyx_t_13) < 0) __PYX_ERR(0, 102, __pyx_L8_except_error)
3122 __Pyx_GOTREF(__pyx_t_5);
3123 __Pyx_GOTREF(__pyx_t_4);
3124 __Pyx_GOTREF(__pyx_t_13);
3133 __pyx_t_14 = PyNumber_Add(__pyx_v_error_msg_prefix, __pyx_kp_s_invalid);
if (unlikely(!__pyx_t_14)) __PYX_ERR(0, 103, __pyx_L8_except_error)
3134 __Pyx_GOTREF(__pyx_t_14);
3135 __pyx_t_15 = PyObject_Repr(__pyx_v_other);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 103, __pyx_L8_except_error)
3136 __Pyx_GOTREF(__pyx_t_15);
3137 __pyx_t_16 = PyNumber_Add(__pyx_t_14, __pyx_t_15);
if (unlikely(!__pyx_t_16)) __PYX_ERR(0, 103, __pyx_L8_except_error)
3138 __Pyx_GOTREF(__pyx_t_16);
3139 __Pyx_DECREF(__pyx_t_14); __pyx_t_14 = 0;
3140 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
3141 __pyx_t_15 = PyNumber_Add(__pyx_t_16, __pyx_kp_s_);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 103, __pyx_L8_except_error)
3142 __Pyx_GOTREF(__pyx_t_15);
3143 __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
3144 __pyx_t_16 = __Pyx_PyObject_CallOneArg(__pyx_builtin_IndexError, __pyx_t_15);
if (unlikely(!__pyx_t_16)) __PYX_ERR(0, 103, __pyx_L8_except_error)
3145 __Pyx_GOTREF(__pyx_t_16);
3146 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
3147 __Pyx_Raise(__pyx_t_16, 0, 0, 0);
3148 __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
3149 __PYX_ERR(0, 103, __pyx_L8_except_error)
3159 __pyx_t_6 = __Pyx_PyErr_ExceptionMatches(__pyx_builtin_RuntimeError) || __Pyx_PyErr_ExceptionMatches(__pyx_builtin_TypeError);
3161 __Pyx_AddTraceback(
"PyClical.index_set.__cinit__", __pyx_clineno, __pyx_lineno, __pyx_filename);
3162 if (__Pyx_GetException(&__pyx_t_13, &__pyx_t_4, &__pyx_t_5) < 0) __PYX_ERR(0, 104, __pyx_L8_except_error)
3163 __Pyx_GOTREF(__pyx_t_13);
3164 __Pyx_GOTREF(__pyx_t_4);
3165 __Pyx_GOTREF(__pyx_t_5);
3174 __pyx_t_16 = PyNumber_Add(__pyx_v_error_msg_prefix, __pyx_kp_s_invalid);
if (unlikely(!__pyx_t_16)) __PYX_ERR(0, 105, __pyx_L8_except_error)
3175 __Pyx_GOTREF(__pyx_t_16);
3176 __pyx_t_15 = PyObject_Repr(__pyx_v_other);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 105, __pyx_L8_except_error)
3177 __Pyx_GOTREF(__pyx_t_15);
3178 __pyx_t_14 = PyNumber_Add(__pyx_t_16, __pyx_t_15);
if (unlikely(!__pyx_t_14)) __PYX_ERR(0, 105, __pyx_L8_except_error)
3179 __Pyx_GOTREF(__pyx_t_14);
3180 __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
3181 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
3182 __pyx_t_15 = PyNumber_Add(__pyx_t_14, __pyx_kp_s_);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 105, __pyx_L8_except_error)
3183 __Pyx_GOTREF(__pyx_t_15);
3184 __Pyx_DECREF(__pyx_t_14); __pyx_t_14 = 0;
3185 __pyx_t_14 = __Pyx_PyObject_CallOneArg(__pyx_builtin_ValueError, __pyx_t_15);
if (unlikely(!__pyx_t_14)) __PYX_ERR(0, 105, __pyx_L8_except_error)
3186 __Pyx_GOTREF(__pyx_t_14);
3187 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
3188 __Pyx_Raise(__pyx_t_14, 0, 0, 0);
3189 __Pyx_DECREF(__pyx_t_14); __pyx_t_14 = 0;
3190 __PYX_ERR(0, 105, __pyx_L8_except_error)
3192 goto __pyx_L8_except_error;
3193 __pyx_L8_except_error:;
3202 __Pyx_XGIVEREF(__pyx_t_8);
3203 __Pyx_XGIVEREF(__pyx_t_9);
3204 __Pyx_XGIVEREF(__pyx_t_10);
3205 __Pyx_ExceptionReset(__pyx_t_8, __pyx_t_9, __pyx_t_10);
3206 goto __pyx_L1_error;
3227 __pyx_t_2 = PyString_Check(__pyx_v_other);
3228 __pyx_t_1 = (__pyx_t_2 != 0);
3229 if (likely(__pyx_t_1)) {
3239 __Pyx_PyThreadState_declare
3240 __Pyx_PyThreadState_assign
3241 __Pyx_ExceptionSave(&__pyx_t_10, &__pyx_t_9, &__pyx_t_8);
3242 __Pyx_XGOTREF(__pyx_t_10);
3243 __Pyx_XGOTREF(__pyx_t_9);
3244 __Pyx_XGOTREF(__pyx_t_8);
3254 __pyx_t_17 = __Pyx_PyObject_AsWritableString(__pyx_v_other);
if (unlikely((!__pyx_t_17) && PyErr_Occurred())) __PYX_ERR(0, 108, __pyx_L18_error)
3256 __pyx_t_3 =
new IndexSet(((
char *)__pyx_t_17));
3258 __Pyx_CppExn2PyErr();
3259 __PYX_ERR(0, 108, __pyx_L18_error)
3261 __pyx_v_self->instance = __pyx_t_3;
3271 __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
3272 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
3273 __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
3274 goto __pyx_L23_try_end;
3276 __Pyx_XDECREF(__pyx_t_13); __pyx_t_13 = 0;
3277 __Pyx_XDECREF(__pyx_t_14); __pyx_t_14 = 0;
3278 __Pyx_XDECREF(__pyx_t_15); __pyx_t_15 = 0;
3279 __Pyx_XDECREF(__pyx_t_16); __pyx_t_16 = 0;
3280 __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
3281 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
3290 __pyx_t_6 = __Pyx_PyErr_ExceptionMatches(__pyx_builtin_RuntimeError);
3292 __Pyx_AddTraceback(
"PyClical.index_set.__cinit__", __pyx_clineno, __pyx_lineno, __pyx_filename);
3293 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_4, &__pyx_t_13) < 0) __PYX_ERR(0, 109, __pyx_L20_except_error)
3294 __Pyx_GOTREF(__pyx_t_5);
3295 __Pyx_GOTREF(__pyx_t_4);
3296 __Pyx_GOTREF(__pyx_t_13);
3305 __pyx_t_14 = PyNumber_Add(__pyx_v_error_msg_prefix, __pyx_kp_s_invalid_string);
if (unlikely(!__pyx_t_14)) __PYX_ERR(0, 110, __pyx_L20_except_error)
3306 __Pyx_GOTREF(__pyx_t_14);
3307 __pyx_t_15 = PyObject_Repr(__pyx_v_other);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 110, __pyx_L20_except_error)
3308 __Pyx_GOTREF(__pyx_t_15);
3309 __pyx_t_16 = PyNumber_Add(__pyx_t_14, __pyx_t_15);
if (unlikely(!__pyx_t_16)) __PYX_ERR(0, 110, __pyx_L20_except_error)
3310 __Pyx_GOTREF(__pyx_t_16);
3311 __Pyx_DECREF(__pyx_t_14); __pyx_t_14 = 0;
3312 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
3313 __pyx_t_15 = PyNumber_Add(__pyx_t_16, __pyx_kp_s_);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 110, __pyx_L20_except_error)
3314 __Pyx_GOTREF(__pyx_t_15);
3315 __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
3316 __pyx_t_16 = __Pyx_PyObject_CallOneArg(__pyx_builtin_ValueError, __pyx_t_15);
if (unlikely(!__pyx_t_16)) __PYX_ERR(0, 110, __pyx_L20_except_error)
3317 __Pyx_GOTREF(__pyx_t_16);
3318 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
3319 __Pyx_Raise(__pyx_t_16, 0, 0, 0);
3320 __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
3321 __PYX_ERR(0, 110, __pyx_L20_except_error)
3323 goto __pyx_L20_except_error;
3324 __pyx_L20_except_error:;
3333 __Pyx_XGIVEREF(__pyx_t_10);
3334 __Pyx_XGIVEREF(__pyx_t_9);
3335 __Pyx_XGIVEREF(__pyx_t_8);
3336 __Pyx_ExceptionReset(__pyx_t_10, __pyx_t_9, __pyx_t_8);
3337 goto __pyx_L1_error;
3359 __pyx_t_13 = PyNumber_Add(__pyx_v_error_msg_prefix, __pyx_kp_s__2);
if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 112, __pyx_L1_error)
3360 __Pyx_GOTREF(__pyx_t_13);
3361 __pyx_t_4 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), ((PyObject *)Py_TYPE(__pyx_v_other)));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 112, __pyx_L1_error)
3362 __Pyx_GOTREF(__pyx_t_4);
3363 __pyx_t_5 = PyNumber_Add(__pyx_t_13, __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 112, __pyx_L1_error)
3364 __Pyx_GOTREF(__pyx_t_5);
3365 __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
3366 __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
3367 __pyx_t_4 = PyNumber_Add(__pyx_t_5, __pyx_kp_s_);
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 112, __pyx_L1_error)
3368 __Pyx_GOTREF(__pyx_t_4);
3369 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
3370 __pyx_t_5 = __Pyx_PyObject_CallOneArg(__pyx_builtin_TypeError, __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 112, __pyx_L1_error)
3371 __Pyx_GOTREF(__pyx_t_5);
3372 __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
3373 __Pyx_Raise(__pyx_t_5, 0, 0, 0);
3374 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
3375 __PYX_ERR(0, 112, __pyx_L1_error)
3391 __Pyx_XDECREF(__pyx_t_4);
3392 __Pyx_XDECREF(__pyx_t_5);
3393 __Pyx_XDECREF(__pyx_t_13);
3394 __Pyx_XDECREF(__pyx_t_14);
3395 __Pyx_XDECREF(__pyx_t_15);
3396 __Pyx_XDECREF(__pyx_t_16);
3397 __Pyx_AddTraceback(
"PyClical.index_set.__cinit__", __pyx_clineno, __pyx_lineno, __pyx_filename);
3400 __Pyx_XDECREF(__pyx_v_error_msg_prefix);
3401 __Pyx_XDECREF(__pyx_v_idx);
3402 __Pyx_RefNannyFinishContext();
3415 static void __pyx_pw_8PyClical_9index_set_5__dealloc__(PyObject *__pyx_v_self);
3416 static void __pyx_pw_8PyClical_9index_set_5__dealloc__(PyObject *__pyx_v_self) {
3417 __Pyx_RefNannyDeclarations
3418 __Pyx_RefNannySetupContext(
"__dealloc__ (wrapper)", 0);
3419 __pyx_pf_8PyClical_9index_set_4__dealloc__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
3422 __Pyx_RefNannyFinishContext();
3425 static void __pyx_pf_8PyClical_9index_set_4__dealloc__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
3426 __Pyx_RefNannyDeclarations
3427 __Pyx_RefNannySetupContext(
"__dealloc__", 0);
3436 delete __pyx_v_self->instance;
3447 __Pyx_RefNannyFinishContext();
3459 static PyObject *__pyx_pw_8PyClical_9index_set_7__richcmp__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs,
int __pyx_v_op);
3460 static PyObject *__pyx_pw_8PyClical_9index_set_7__richcmp__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs,
int __pyx_v_op) {
3461 PyObject *__pyx_r = 0;
3462 __Pyx_RefNannyDeclarations
3463 __Pyx_RefNannySetupContext(
"__richcmp__ (wrapper)", 0);
3464 __pyx_r = __pyx_pf_8PyClical_9index_set_6__richcmp__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs), ((
int)__pyx_v_op));
3467 __Pyx_RefNannyFinishContext();
3471 static PyObject *__pyx_pf_8PyClical_9index_set_6__richcmp__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_lhs, PyObject *__pyx_v_rhs,
int __pyx_v_op) {
3472 PyObject *__pyx_v_eq = NULL;
3473 PyObject *__pyx_v_lt = NULL;
3474 PyObject *__pyx_r = NULL;
3475 __Pyx_RefNannyDeclarations
3479 PyObject *__pyx_t_4 = NULL;
3480 __Pyx_RefNannySetupContext(
"__richcmp__", 0);
3489 __pyx_t_2 = (((PyObject *)__pyx_v_lhs) == Py_None);
3490 __pyx_t_3 = (__pyx_t_2 != 0);
3493 __pyx_t_1 = __pyx_t_3;
3494 goto __pyx_L4_bool_binop_done;
3496 __pyx_t_3 = (__pyx_v_rhs == Py_None);
3497 __pyx_t_2 = (__pyx_t_3 != 0);
3498 __pyx_t_1 = __pyx_t_2;
3499 __pyx_L4_bool_binop_done:;
3509 __pyx_t_1 = (((PyObject *)__pyx_v_lhs) == __pyx_v_rhs);
3510 __pyx_t_4 = __Pyx_PyBool_FromLong((!(!__pyx_t_1)));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 142, __pyx_L1_error)
3511 __Pyx_GOTREF(__pyx_t_4);
3512 __pyx_v_eq = __pyx_t_4;
3522 switch (__pyx_v_op) {
3532 __Pyx_XDECREF(__pyx_r);
3533 __Pyx_INCREF(__pyx_v_eq);
3534 __pyx_r = __pyx_v_eq;
3554 __Pyx_XDECREF(__pyx_r);
3555 __pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_eq);
if (unlikely(__pyx_t_1 < 0)) __PYX_ERR(0, 146, __pyx_L1_error)
3556 __pyx_t_4 = __Pyx_PyBool_FromLong((!__pyx_t_1));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 146, __pyx_L1_error)
3557 __Pyx_GOTREF(__pyx_t_4);
3558 __pyx_r = __pyx_t_4;
3579 switch (__pyx_v_op) {
3589 __Pyx_XDECREF(__pyx_r);
3590 __Pyx_INCREF(Py_False);
3611 __Pyx_XDECREF(__pyx_r);
3612 __Pyx_INCREF(__pyx_v_eq);
3613 __pyx_r = __pyx_v_eq;
3633 __Pyx_XDECREF(__pyx_r);
3634 __Pyx_INCREF(Py_False);
3655 __Pyx_XDECREF(__pyx_r);
3656 __Pyx_INCREF(__pyx_v_eq);
3657 __pyx_r = __pyx_v_eq;
3677 __Pyx_XDECREF(__pyx_r);
3678 __Pyx_INCREF(__pyx_builtin_NotImplemented);
3679 __pyx_r = __pyx_builtin_NotImplemented;
3703 __pyx_t_1 = (__pyx_f_8PyClical_toIndexSet(((PyObject *)__pyx_v_lhs)) == __pyx_f_8PyClical_toIndexSet(__pyx_v_rhs));
3704 __pyx_t_4 = __Pyx_PyBool_FromLong((!(!__pyx_t_1)));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 159, __pyx_L1_error)
3705 __Pyx_GOTREF(__pyx_t_4);
3706 __pyx_v_eq = __pyx_t_4;
3716 switch (__pyx_v_op) {
3726 __Pyx_XDECREF(__pyx_r);
3727 __Pyx_INCREF(__pyx_v_eq);
3728 __pyx_r = __pyx_v_eq;
3748 __Pyx_XDECREF(__pyx_r);
3749 __pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_eq);
if (unlikely(__pyx_t_1 < 0)) __PYX_ERR(0, 163, __pyx_L1_error)
3750 __pyx_t_4 = __Pyx_PyBool_FromLong((!__pyx_t_1));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 163, __pyx_L1_error)
3751 __Pyx_GOTREF(__pyx_t_4);
3752 __pyx_r = __pyx_t_4;
3773 __pyx_t_1 = (__pyx_f_8PyClical_toIndexSet(((PyObject *)__pyx_v_lhs)) < __pyx_f_8PyClical_toIndexSet(__pyx_v_rhs));
3774 __pyx_t_4 = __Pyx_PyBool_FromLong((!(!__pyx_t_1)));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 165, __pyx_L1_error)
3775 __Pyx_GOTREF(__pyx_t_4);
3776 __pyx_v_lt = __pyx_t_4;
3786 switch (__pyx_v_op) {
3796 __Pyx_XDECREF(__pyx_r);
3797 __Pyx_INCREF(__pyx_v_lt);
3798 __pyx_r = __pyx_v_lt;
3818 __Pyx_XDECREF(__pyx_r);
3819 __pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_lt);
if (unlikely(__pyx_t_1 < 0)) __PYX_ERR(0, 169, __pyx_L1_error)
3822 __Pyx_INCREF(__pyx_v_lt);
3823 __pyx_t_4 = __pyx_v_lt;
3824 goto __pyx_L6_bool_binop_done;
3826 __Pyx_INCREF(__pyx_v_eq);
3827 __pyx_t_4 = __pyx_v_eq;
3828 __pyx_L6_bool_binop_done:;
3829 __pyx_r = __pyx_t_4;
3850 __Pyx_XDECREF(__pyx_r);
3851 __pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_lt);
if (unlikely(__pyx_t_2 < 0)) __PYX_ERR(0, 171, __pyx_L1_error)
3854 __pyx_t_1 = __pyx_t_2;
3855 goto __pyx_L8_bool_binop_done;
3857 __pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_eq);
if (unlikely(__pyx_t_2 < 0)) __PYX_ERR(0, 171, __pyx_L1_error)
3858 __pyx_t_1 = __pyx_t_2;
3859 __pyx_L8_bool_binop_done:;
3860 __pyx_t_4 = __Pyx_PyBool_FromLong((!__pyx_t_1));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 171, __pyx_L1_error)
3861 __Pyx_GOTREF(__pyx_t_4);
3862 __pyx_r = __pyx_t_4;
3883 __Pyx_XDECREF(__pyx_r);
3884 __pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_lt);
if (unlikely(__pyx_t_1 < 0)) __PYX_ERR(0, 173, __pyx_L1_error)
3885 __pyx_t_4 = __Pyx_PyBool_FromLong((!__pyx_t_1));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 173, __pyx_L1_error)
3886 __Pyx_GOTREF(__pyx_t_4);
3887 __pyx_r = __pyx_t_4;
3908 __Pyx_XDECREF(__pyx_r);
3909 __Pyx_INCREF(__pyx_builtin_NotImplemented);
3910 __pyx_r = __pyx_builtin_NotImplemented;
3928 __Pyx_XDECREF(__pyx_t_4);
3929 __Pyx_AddTraceback(
"PyClical.index_set.__richcmp__", __pyx_clineno, __pyx_lineno, __pyx_filename);
3932 __Pyx_XDECREF(__pyx_v_eq);
3933 __Pyx_XDECREF(__pyx_v_lt);
3934 __Pyx_XGIVEREF(__pyx_r);
3935 __Pyx_RefNannyFinishContext();
3948 static int __pyx_pw_8PyClical_9index_set_9__setitem__(PyObject *__pyx_v_self, PyObject *__pyx_v_idx, PyObject *__pyx_v_val);
3949 static char __pyx_doc_8PyClical_9index_set_8__setitem__[] =
"\n Set the value of an index_set object at index idx to value val.\n\n >>> s=index_set({1}); s[2] = True; print s\n {1,2}\n >>> s=index_set({1,2}); s[1] = False; print s\n {2}\n ";
3950 #if CYTHON_COMPILING_IN_CPYTHON 3951 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_8__setitem__;
3953 static int __pyx_pw_8PyClical_9index_set_9__setitem__(PyObject *__pyx_v_self, PyObject *__pyx_v_idx, PyObject *__pyx_v_val) {
3955 __Pyx_RefNannyDeclarations
3956 __Pyx_RefNannySetupContext(
"__setitem__ (wrapper)", 0);
3957 __pyx_r = __pyx_pf_8PyClical_9index_set_8__setitem__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self), ((PyObject *)__pyx_v_idx), ((PyObject *)__pyx_v_val));
3960 __Pyx_RefNannyFinishContext();
3964 static int __pyx_pf_8PyClical_9index_set_8__setitem__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx, PyObject *__pyx_v_val) {
3966 __Pyx_RefNannyDeclarations
3969 __Pyx_RefNannySetupContext(
"__setitem__", 0);
3978 __pyx_t_1 = __Pyx_PyInt_As_int(__pyx_v_idx);
if (unlikely((__pyx_t_1 == (
int)-1) && PyErr_Occurred())) __PYX_ERR(0, 186, __pyx_L1_error)
3979 __pyx_t_2 = __Pyx_PyInt_As_int(__pyx_v_val);
if (unlikely((__pyx_t_2 == (
int)-1) && PyErr_Occurred())) __PYX_ERR(0, 186, __pyx_L1_error)
3981 __pyx_v_self->instance->set(__pyx_t_1, __pyx_t_2);
3983 __Pyx_CppExn2PyErr();
3984 __PYX_ERR(0, 186, __pyx_L1_error)
4007 __Pyx_AddTraceback(
"PyClical.index_set.__setitem__", __pyx_clineno, __pyx_lineno, __pyx_filename);
4010 __Pyx_RefNannyFinishContext();
4023 static PyObject *__pyx_pw_8PyClical_9index_set_11__getitem__(PyObject *__pyx_v_self, PyObject *__pyx_v_idx);
4024 static char __pyx_doc_8PyClical_9index_set_10__getitem__[] =
"\n Get the value of an index_set object at an index.\n\n >>> index_set({1})[1]\n True\n >>> index_set({1})[2]\n False\n >>> index_set({2})[-1]\n False\n >>> index_set({2})[1]\n False\n >>> index_set({2})[2]\n True\n >>> index_set({2})[33]\n False\n ";
4025 #if CYTHON_COMPILING_IN_CPYTHON 4026 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_10__getitem__;
4028 static PyObject *__pyx_pw_8PyClical_9index_set_11__getitem__(PyObject *__pyx_v_self, PyObject *__pyx_v_idx) {
4029 PyObject *__pyx_r = 0;
4030 __Pyx_RefNannyDeclarations
4031 __Pyx_RefNannySetupContext(
"__getitem__ (wrapper)", 0);
4032 __pyx_r = __pyx_pf_8PyClical_9index_set_10__getitem__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self), ((PyObject *)__pyx_v_idx));
4035 __Pyx_RefNannyFinishContext();
4039 static PyObject *__pyx_pf_8PyClical_9index_set_10__getitem__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx) {
4040 PyObject *__pyx_r = NULL;
4041 __Pyx_RefNannyDeclarations
4043 PyObject *__pyx_t_2 = NULL;
4044 __Pyx_RefNannySetupContext(
"__getitem__", 0);
4053 __Pyx_XDECREF(__pyx_r);
4054 __pyx_t_1 = __Pyx_PyInt_As_int(__pyx_v_idx);
if (unlikely((__pyx_t_1 == (
int)-1) && PyErr_Occurred())) __PYX_ERR(0, 206, __pyx_L1_error)
4055 __pyx_t_2 = __Pyx_PyBool_FromLong(__pyx_v_self->instance->operator[](__pyx_t_1));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 206, __pyx_L1_error)
4056 __Pyx_GOTREF(__pyx_t_2);
4057 __pyx_r = __pyx_t_2;
4071 __Pyx_XDECREF(__pyx_t_2);
4072 __Pyx_AddTraceback(
"PyClical.index_set.__getitem__", __pyx_clineno, __pyx_lineno, __pyx_filename);
4075 __Pyx_XGIVEREF(__pyx_r);
4076 __Pyx_RefNannyFinishContext();
4089 static int __pyx_pw_8PyClical_9index_set_13__contains__(PyObject *__pyx_v_self, PyObject *__pyx_v_idx);
4090 static char __pyx_doc_8PyClical_9index_set_12__contains__[] =
"\n Check that an index_set object contains the index idx: idx in self.\n\n >>> 1 in index_set({1})\n True\n >>> 2 in index_set({1})\n False\n >>> -1 in index_set({2})\n False\n >>> 1 in index_set({2})\n False\n >>> 2 in index_set({2})\n True\n >>> 33 in index_set({2})\n False\n ";
4091 #if CYTHON_COMPILING_IN_CPYTHON 4092 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_12__contains__;
4094 static int __pyx_pw_8PyClical_9index_set_13__contains__(PyObject *__pyx_v_self, PyObject *__pyx_v_idx) {
4096 __Pyx_RefNannyDeclarations
4097 __Pyx_RefNannySetupContext(
"__contains__ (wrapper)", 0);
4098 __pyx_r = __pyx_pf_8PyClical_9index_set_12__contains__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self), ((PyObject *)__pyx_v_idx));
4101 __Pyx_RefNannyFinishContext();
4105 static int __pyx_pf_8PyClical_9index_set_12__contains__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx) {
4107 __Pyx_RefNannyDeclarations
4109 __Pyx_RefNannySetupContext(
"__contains__", 0);
4118 __pyx_t_1 = __Pyx_PyInt_As_int(__pyx_v_idx);
if (unlikely((__pyx_t_1 == (
int)-1) && PyErr_Occurred())) __PYX_ERR(0, 225, __pyx_L1_error)
4119 __pyx_r = __pyx_v_self->instance->operator[](__pyx_t_1);
4132 __Pyx_AddTraceback(
"PyClical.index_set.__contains__", __pyx_clineno, __pyx_lineno, __pyx_filename);
4135 __Pyx_RefNannyFinishContext();
4138 static PyObject *__pyx_gb_8PyClical_9index_set_16generator(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value);
4149 static PyObject *__pyx_pw_8PyClical_9index_set_15__iter__(PyObject *__pyx_v_self);
4150 static char __pyx_doc_8PyClical_9index_set_14__iter__[] =
"\n Iterate over the indices of an index_set.\n\n >>> for i in index_set({-3,4,7}): print i,\n -3 4 7\n ";
4151 #if CYTHON_COMPILING_IN_CPYTHON 4152 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_14__iter__;
4154 static PyObject *__pyx_pw_8PyClical_9index_set_15__iter__(PyObject *__pyx_v_self) {
4155 PyObject *__pyx_r = 0;
4156 __Pyx_RefNannyDeclarations
4157 __Pyx_RefNannySetupContext(
"__iter__ (wrapper)", 0);
4158 __pyx_r = __pyx_pf_8PyClical_9index_set_14__iter__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
4161 __Pyx_RefNannyFinishContext();
4165 static PyObject *__pyx_pf_8PyClical_9index_set_14__iter__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
4166 struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *__pyx_cur_scope;
4167 PyObject *__pyx_r = NULL;
4168 __Pyx_RefNannyDeclarations
4169 __Pyx_RefNannySetupContext(
"__iter__", 0);
4170 __pyx_cur_scope = (
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)__pyx_tp_new_8PyClical___pyx_scope_struct____iter__(__pyx_ptype_8PyClical___pyx_scope_struct____iter__, __pyx_empty_tuple, NULL);
4171 if (unlikely(!__pyx_cur_scope)) {
4172 __pyx_cur_scope = ((
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)Py_None);
4173 __Pyx_INCREF(Py_None);
4174 __PYX_ERR(0, 227, __pyx_L1_error)
4176 __Pyx_GOTREF(__pyx_cur_scope);
4178 __pyx_cur_scope->__pyx_v_self = __pyx_v_self;
4179 __Pyx_INCREF((PyObject *)__pyx_cur_scope->__pyx_v_self);
4180 __Pyx_GIVEREF((PyObject *)__pyx_cur_scope->__pyx_v_self);
4182 __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_8PyClical_9index_set_16generator, NULL, (PyObject *) __pyx_cur_scope, __pyx_n_s_iter, __pyx_n_s_index_set___iter, __pyx_n_s_PyClical);
if (unlikely(!gen)) __PYX_ERR(0, 227, __pyx_L1_error)
4183 __Pyx_DECREF(__pyx_cur_scope);
4184 __Pyx_RefNannyFinishContext();
4185 return (PyObject *) gen;
4190 __Pyx_AddTraceback(
"PyClical.index_set.__iter__", __pyx_clineno, __pyx_lineno, __pyx_filename);
4192 __Pyx_DECREF(((PyObject *)__pyx_cur_scope));
4193 __Pyx_XGIVEREF(__pyx_r);
4194 __Pyx_RefNannyFinishContext();
4198 static PyObject *__pyx_gb_8PyClical_9index_set_16generator(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value)
4200 struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *__pyx_cur_scope = ((
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)__pyx_generator->closure);
4201 PyObject *__pyx_r = NULL;
4202 PyObject *__pyx_t_1 = NULL;
4203 PyObject *__pyx_t_2 = NULL;
4204 PyObject *__pyx_t_3 = NULL;
4205 PyObject *__pyx_t_4 = NULL;
4206 Py_ssize_t __pyx_t_5;
4207 PyObject *(*__pyx_t_6)(PyObject *);
4210 __Pyx_RefNannyDeclarations
4211 __Pyx_RefNannySetupContext(
"__iter__", 0);
4212 switch (__pyx_generator->resume_label) {
4213 case 0:
goto __pyx_L3_first_run;
4214 case 1:
goto __pyx_L7_resume_from_yield;
4216 __Pyx_RefNannyFinishContext();
4219 __pyx_L3_first_run:;
4220 if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 227, __pyx_L1_error)
4229 __pyx_t_2 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_cur_scope->__pyx_v_self), __pyx_n_s_min);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 234, __pyx_L1_error)
4230 __Pyx_GOTREF(__pyx_t_2);
4232 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_2))) {
4233 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
4234 if (likely(__pyx_t_3)) {
4235 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_2);
4236 __Pyx_INCREF(__pyx_t_3);
4237 __Pyx_INCREF(
function);
4238 __Pyx_DECREF_SET(__pyx_t_2,
function);
4241 __pyx_t_1 = (__pyx_t_3) ? __Pyx_PyObject_CallOneArg(__pyx_t_2, __pyx_t_3) : __Pyx_PyObject_CallNoArg(__pyx_t_2);
4242 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
4243 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 234, __pyx_L1_error)
4244 __Pyx_GOTREF(__pyx_t_1);
4245 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
4246 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_cur_scope->__pyx_v_self), __pyx_n_s_max);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 234, __pyx_L1_error)
4247 __Pyx_GOTREF(__pyx_t_3);
4249 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
4250 __pyx_t_4 = PyMethod_GET_SELF(__pyx_t_3);
4251 if (likely(__pyx_t_4)) {
4252 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
4253 __Pyx_INCREF(__pyx_t_4);
4254 __Pyx_INCREF(
function);
4255 __Pyx_DECREF_SET(__pyx_t_3,
function);
4258 __pyx_t_2 = (__pyx_t_4) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_4) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
4259 __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
4260 if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 234, __pyx_L1_error)
4261 __Pyx_GOTREF(__pyx_t_2);
4262 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
4263 __pyx_t_3 = __Pyx_PyInt_AddObjC(__pyx_t_2, __pyx_int_1, 1, 0, 0);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 234, __pyx_L1_error)
4264 __Pyx_GOTREF(__pyx_t_3);
4265 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
4266 __pyx_t_2 = PyTuple_New(2);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 234, __pyx_L1_error)
4267 __Pyx_GOTREF(__pyx_t_2);
4268 __Pyx_GIVEREF(__pyx_t_1);
4269 PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_1);
4270 __Pyx_GIVEREF(__pyx_t_3);
4271 PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_3);
4274 __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_range, __pyx_t_2, NULL);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 234, __pyx_L1_error)
4275 __Pyx_GOTREF(__pyx_t_3);
4276 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
4277 if (likely(PyList_CheckExact(__pyx_t_3)) || PyTuple_CheckExact(__pyx_t_3)) {
4278 __pyx_t_2 = __pyx_t_3; __Pyx_INCREF(__pyx_t_2); __pyx_t_5 = 0;
4281 __pyx_t_5 = -1; __pyx_t_2 = PyObject_GetIter(__pyx_t_3);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 234, __pyx_L1_error)
4282 __Pyx_GOTREF(__pyx_t_2);
4283 __pyx_t_6 = Py_TYPE(__pyx_t_2)->tp_iternext;
if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 234, __pyx_L1_error)
4285 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
4287 if (likely(!__pyx_t_6)) {
4288 if (likely(PyList_CheckExact(__pyx_t_2))) {
4289 if (__pyx_t_5 >= PyList_GET_SIZE(__pyx_t_2))
break;
4290 #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS 4291 __pyx_t_3 = PyList_GET_ITEM(__pyx_t_2, __pyx_t_5); __Pyx_INCREF(__pyx_t_3); __pyx_t_5++;
if (unlikely(0 < 0)) __PYX_ERR(0, 234, __pyx_L1_error)
4293 __pyx_t_3 = PySequence_ITEM(__pyx_t_2, __pyx_t_5); __pyx_t_5++;
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 234, __pyx_L1_error)
4294 __Pyx_GOTREF(__pyx_t_3);
4297 if (__pyx_t_5 >= PyTuple_GET_SIZE(__pyx_t_2))
break;
4298 #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS 4299 __pyx_t_3 = PyTuple_GET_ITEM(__pyx_t_2, __pyx_t_5); __Pyx_INCREF(__pyx_t_3); __pyx_t_5++;
if (unlikely(0 < 0)) __PYX_ERR(0, 234, __pyx_L1_error)
4301 __pyx_t_3 = PySequence_ITEM(__pyx_t_2, __pyx_t_5); __pyx_t_5++;
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 234, __pyx_L1_error)
4302 __Pyx_GOTREF(__pyx_t_3);
4306 __pyx_t_3 = __pyx_t_6(__pyx_t_2);
4307 if (unlikely(!__pyx_t_3)) {
4308 PyObject* exc_type = PyErr_Occurred();
4310 if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
4311 else __PYX_ERR(0, 234, __pyx_L1_error)
4315 __Pyx_GOTREF(__pyx_t_3);
4317 __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_idx);
4318 __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_idx, __pyx_t_3);
4319 __Pyx_GIVEREF(__pyx_t_3);
4329 __pyx_t_7 = (__Pyx_PySequence_ContainsTF(__pyx_cur_scope->__pyx_v_idx, ((PyObject *)__pyx_cur_scope->__pyx_v_self), Py_EQ));
if (unlikely(__pyx_t_7 < 0)) __PYX_ERR(0, 235, __pyx_L1_error)
4330 __pyx_t_8 = (__pyx_t_7 != 0);
4340 __Pyx_INCREF(__pyx_cur_scope->__pyx_v_idx);
4341 __pyx_r = __pyx_cur_scope->__pyx_v_idx;
4342 __Pyx_XGIVEREF(__pyx_t_2);
4343 __pyx_cur_scope->__pyx_t_0 = __pyx_t_2;
4344 __pyx_cur_scope->__pyx_t_1 = __pyx_t_5;
4345 __pyx_cur_scope->__pyx_t_2 = __pyx_t_6;
4346 __Pyx_XGIVEREF(__pyx_r);
4347 __Pyx_RefNannyFinishContext();
4348 __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
4350 __pyx_generator->resume_label = 1;
4352 __pyx_L7_resume_from_yield:;
4353 __pyx_t_2 = __pyx_cur_scope->__pyx_t_0;
4354 __pyx_cur_scope->__pyx_t_0 = 0;
4355 __Pyx_XGOTREF(__pyx_t_2);
4356 __pyx_t_5 = __pyx_cur_scope->__pyx_t_1;
4357 __pyx_t_6 = __pyx_cur_scope->__pyx_t_2;
4358 if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 236, __pyx_L1_error)
4377 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
4378 CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);
4389 PyErr_SetNone(PyExc_StopIteration);
4392 __Pyx_XDECREF(__pyx_t_1);
4393 __Pyx_XDECREF(__pyx_t_2);
4394 __Pyx_XDECREF(__pyx_t_3);
4395 __Pyx_XDECREF(__pyx_t_4);
4396 __Pyx_AddTraceback(
"__iter__", __pyx_clineno, __pyx_lineno, __pyx_filename);
4398 __Pyx_XDECREF(__pyx_r); __pyx_r = 0;
4399 #if !CYTHON_USE_EXC_INFO_STACK 4400 __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
4402 __pyx_generator->resume_label = -1;
4403 __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
4404 __Pyx_RefNannyFinishContext();
4417 static PyObject *__pyx_pw_8PyClical_9index_set_18__invert__(PyObject *__pyx_v_self);
4418 static char __pyx_doc_8PyClical_9index_set_17__invert__[] =
"\n Set complement: not.\n\n >>> print ~index_set({-16,-15,-14,-13,-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16})\n {-32,-31,-30,-29,-28,-27,-26,-25,-24,-23,-22,-21,-20,-19,-18,-17,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32}\n ";
4419 #if CYTHON_COMPILING_IN_CPYTHON 4420 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_17__invert__;
4422 static PyObject *__pyx_pw_8PyClical_9index_set_18__invert__(PyObject *__pyx_v_self) {
4423 PyObject *__pyx_r = 0;
4424 __Pyx_RefNannyDeclarations
4425 __Pyx_RefNannySetupContext(
"__invert__ (wrapper)", 0);
4426 __pyx_r = __pyx_pf_8PyClical_9index_set_17__invert__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
4429 __Pyx_RefNannyFinishContext();
4433 static PyObject *__pyx_pf_8PyClical_9index_set_17__invert__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
4434 PyObject *__pyx_r = NULL;
4435 __Pyx_RefNannyDeclarations
4436 PyObject *__pyx_t_1 = NULL;
4437 PyObject *__pyx_t_2 = NULL;
4438 __Pyx_RefNannySetupContext(
"__invert__", 0);
4447 __Pyx_XDECREF(__pyx_r);
4448 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_index_set));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 245, __pyx_L1_error)
4449 __Pyx_GOTREF(__pyx_t_1);
4450 __pyx_t_2 = __pyx_f_8PyClical_9index_set_wrap(((
struct __pyx_obj_8PyClical_index_set *)__pyx_t_1), __pyx_v_self->instance->operator~());
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 245, __pyx_L1_error)
4451 __Pyx_GOTREF(__pyx_t_2);
4452 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
4453 __pyx_r = __pyx_t_2;
4467 __Pyx_XDECREF(__pyx_t_1);
4468 __Pyx_XDECREF(__pyx_t_2);
4469 __Pyx_AddTraceback(
"PyClical.index_set.__invert__", __pyx_clineno, __pyx_lineno, __pyx_filename);
4472 __Pyx_XGIVEREF(__pyx_r);
4473 __Pyx_RefNannyFinishContext();
4486 static PyObject *__pyx_pw_8PyClical_9index_set_20__xor__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
4487 static char __pyx_doc_8PyClical_9index_set_19__xor__[] =
"\n Symmetric set difference: exclusive or.\n\n >>> print index_set({1}) ^ index_set({2})\n {1,2}\n >>> print index_set({1,2}) ^ index_set({2})\n {1}\n ";
4488 #if CYTHON_COMPILING_IN_CPYTHON 4489 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_19__xor__;
4491 static PyObject *__pyx_pw_8PyClical_9index_set_20__xor__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
4492 PyObject *__pyx_r = 0;
4493 __Pyx_RefNannyDeclarations
4494 __Pyx_RefNannySetupContext(
"__xor__ (wrapper)", 0);
4495 __pyx_r = __pyx_pf_8PyClical_9index_set_19__xor__(((PyObject *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs));
4498 __Pyx_RefNannyFinishContext();
4502 static PyObject *__pyx_pf_8PyClical_9index_set_19__xor__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
4503 PyObject *__pyx_r = NULL;
4504 __Pyx_RefNannyDeclarations
4505 PyObject *__pyx_t_1 = NULL;
4506 PyObject *__pyx_t_2 = NULL;
4507 __Pyx_RefNannySetupContext(
"__xor__", 0);
4516 __Pyx_XDECREF(__pyx_r);
4517 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_index_set));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 256, __pyx_L1_error)
4518 __Pyx_GOTREF(__pyx_t_1);
4519 __pyx_t_2 = __pyx_f_8PyClical_9index_set_wrap(((
struct __pyx_obj_8PyClical_index_set *)__pyx_t_1), (__pyx_f_8PyClical_toIndexSet(__pyx_v_lhs) ^ __pyx_f_8PyClical_toIndexSet(__pyx_v_rhs)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 256, __pyx_L1_error)
4520 __Pyx_GOTREF(__pyx_t_2);
4521 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
4522 __pyx_r = __pyx_t_2;
4536 __Pyx_XDECREF(__pyx_t_1);
4537 __Pyx_XDECREF(__pyx_t_2);
4538 __Pyx_AddTraceback(
"PyClical.index_set.__xor__", __pyx_clineno, __pyx_lineno, __pyx_filename);
4541 __Pyx_XGIVEREF(__pyx_r);
4542 __Pyx_RefNannyFinishContext();
4555 static PyObject *__pyx_pw_8PyClical_9index_set_22__ixor__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs);
4556 static char __pyx_doc_8PyClical_9index_set_21__ixor__[] =
"\n Symmetric set difference: exclusive or.\n\n >>> x = index_set({1}); x ^= index_set({2}); print x\n {1,2}\n >>> x = index_set({1,2}); x ^= index_set({2}); print x\n {1}\n ";
4557 #if CYTHON_COMPILING_IN_CPYTHON 4558 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_21__ixor__;
4560 static PyObject *__pyx_pw_8PyClical_9index_set_22__ixor__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs) {
4561 PyObject *__pyx_r = 0;
4562 __Pyx_RefNannyDeclarations
4563 __Pyx_RefNannySetupContext(
"__ixor__ (wrapper)", 0);
4564 __pyx_r = __pyx_pf_8PyClical_9index_set_21__ixor__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self), ((PyObject *)__pyx_v_rhs));
4567 __Pyx_RefNannyFinishContext();
4571 static PyObject *__pyx_pf_8PyClical_9index_set_21__ixor__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs) {
4572 PyObject *__pyx_r = NULL;
4573 __Pyx_RefNannyDeclarations
4574 PyObject *__pyx_t_1 = NULL;
4575 __Pyx_RefNannySetupContext(
"__ixor__", 0);
4584 __Pyx_XDECREF(__pyx_r);
4585 __pyx_t_1 = __pyx_f_8PyClical_9index_set_wrap(__pyx_v_self, (__pyx_f_8PyClical_9index_set_unwrap(__pyx_v_self) ^ __pyx_f_8PyClical_toIndexSet(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 267, __pyx_L1_error)
4586 __Pyx_GOTREF(__pyx_t_1);
4587 __pyx_r = __pyx_t_1;
4601 __Pyx_XDECREF(__pyx_t_1);
4602 __Pyx_AddTraceback(
"PyClical.index_set.__ixor__", __pyx_clineno, __pyx_lineno, __pyx_filename);
4605 __Pyx_XGIVEREF(__pyx_r);
4606 __Pyx_RefNannyFinishContext();
4619 static PyObject *__pyx_pw_8PyClical_9index_set_24__and__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
4620 static char __pyx_doc_8PyClical_9index_set_23__and__[] =
"\n Set intersection: and.\n\n >>> print index_set({1}) & index_set({2})\n {}\n >>> print index_set({1,2}) & index_set({2})\n {2}\n ";
4621 #if CYTHON_COMPILING_IN_CPYTHON 4622 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_23__and__;
4624 static PyObject *__pyx_pw_8PyClical_9index_set_24__and__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
4625 PyObject *__pyx_r = 0;
4626 __Pyx_RefNannyDeclarations
4627 __Pyx_RefNannySetupContext(
"__and__ (wrapper)", 0);
4628 __pyx_r = __pyx_pf_8PyClical_9index_set_23__and__(((PyObject *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs));
4631 __Pyx_RefNannyFinishContext();
4635 static PyObject *__pyx_pf_8PyClical_9index_set_23__and__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
4636 PyObject *__pyx_r = NULL;
4637 __Pyx_RefNannyDeclarations
4638 PyObject *__pyx_t_1 = NULL;
4639 PyObject *__pyx_t_2 = NULL;
4640 __Pyx_RefNannySetupContext(
"__and__", 0);
4649 __Pyx_XDECREF(__pyx_r);
4650 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_index_set));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 278, __pyx_L1_error)
4651 __Pyx_GOTREF(__pyx_t_1);
4652 __pyx_t_2 = __pyx_f_8PyClical_9index_set_wrap(((
struct __pyx_obj_8PyClical_index_set *)__pyx_t_1), (__pyx_f_8PyClical_toIndexSet(__pyx_v_lhs) & __pyx_f_8PyClical_toIndexSet(__pyx_v_rhs)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 278, __pyx_L1_error)
4653 __Pyx_GOTREF(__pyx_t_2);
4654 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
4655 __pyx_r = __pyx_t_2;
4669 __Pyx_XDECREF(__pyx_t_1);
4670 __Pyx_XDECREF(__pyx_t_2);
4671 __Pyx_AddTraceback(
"PyClical.index_set.__and__", __pyx_clineno, __pyx_lineno, __pyx_filename);
4674 __Pyx_XGIVEREF(__pyx_r);
4675 __Pyx_RefNannyFinishContext();
4688 static PyObject *__pyx_pw_8PyClical_9index_set_26__iand__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs);
4689 static char __pyx_doc_8PyClical_9index_set_25__iand__[] =
"\n Set intersection: and.\n\n >>> x = index_set({1}); x &= index_set({2}); print x\n {}\n >>> x = index_set({1,2}); x &= index_set({2}); print x\n {2}\n ";
4690 #if CYTHON_COMPILING_IN_CPYTHON 4691 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_25__iand__;
4693 static PyObject *__pyx_pw_8PyClical_9index_set_26__iand__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs) {
4694 PyObject *__pyx_r = 0;
4695 __Pyx_RefNannyDeclarations
4696 __Pyx_RefNannySetupContext(
"__iand__ (wrapper)", 0);
4697 __pyx_r = __pyx_pf_8PyClical_9index_set_25__iand__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self), ((PyObject *)__pyx_v_rhs));
4700 __Pyx_RefNannyFinishContext();
4704 static PyObject *__pyx_pf_8PyClical_9index_set_25__iand__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs) {
4705 PyObject *__pyx_r = NULL;
4706 __Pyx_RefNannyDeclarations
4707 PyObject *__pyx_t_1 = NULL;
4708 __Pyx_RefNannySetupContext(
"__iand__", 0);
4717 __Pyx_XDECREF(__pyx_r);
4718 __pyx_t_1 = __pyx_f_8PyClical_9index_set_wrap(__pyx_v_self, (__pyx_f_8PyClical_9index_set_unwrap(__pyx_v_self) & __pyx_f_8PyClical_toIndexSet(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 289, __pyx_L1_error)
4719 __Pyx_GOTREF(__pyx_t_1);
4720 __pyx_r = __pyx_t_1;
4734 __Pyx_XDECREF(__pyx_t_1);
4735 __Pyx_AddTraceback(
"PyClical.index_set.__iand__", __pyx_clineno, __pyx_lineno, __pyx_filename);
4738 __Pyx_XGIVEREF(__pyx_r);
4739 __Pyx_RefNannyFinishContext();
4752 static PyObject *__pyx_pw_8PyClical_9index_set_28__or__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
4753 static char __pyx_doc_8PyClical_9index_set_27__or__[] =
"\n Set union: or.\n\n >>> print index_set({1}) | index_set({2})\n {1,2}\n >>> print index_set({1,2}) | index_set({2})\n {1,2}\n ";
4754 #if CYTHON_COMPILING_IN_CPYTHON 4755 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_27__or__;
4757 static PyObject *__pyx_pw_8PyClical_9index_set_28__or__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
4758 PyObject *__pyx_r = 0;
4759 __Pyx_RefNannyDeclarations
4760 __Pyx_RefNannySetupContext(
"__or__ (wrapper)", 0);
4761 __pyx_r = __pyx_pf_8PyClical_9index_set_27__or__(((PyObject *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs));
4764 __Pyx_RefNannyFinishContext();
4768 static PyObject *__pyx_pf_8PyClical_9index_set_27__or__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
4769 PyObject *__pyx_r = NULL;
4770 __Pyx_RefNannyDeclarations
4771 PyObject *__pyx_t_1 = NULL;
4772 PyObject *__pyx_t_2 = NULL;
4773 __Pyx_RefNannySetupContext(
"__or__", 0);
4782 __Pyx_XDECREF(__pyx_r);
4783 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_index_set));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 300, __pyx_L1_error)
4784 __Pyx_GOTREF(__pyx_t_1);
4785 __pyx_t_2 = __pyx_f_8PyClical_9index_set_wrap(((
struct __pyx_obj_8PyClical_index_set *)__pyx_t_1), (__pyx_f_8PyClical_toIndexSet(__pyx_v_lhs) | __pyx_f_8PyClical_toIndexSet(__pyx_v_rhs)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 300, __pyx_L1_error)
4786 __Pyx_GOTREF(__pyx_t_2);
4787 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
4788 __pyx_r = __pyx_t_2;
4802 __Pyx_XDECREF(__pyx_t_1);
4803 __Pyx_XDECREF(__pyx_t_2);
4804 __Pyx_AddTraceback(
"PyClical.index_set.__or__", __pyx_clineno, __pyx_lineno, __pyx_filename);
4807 __Pyx_XGIVEREF(__pyx_r);
4808 __Pyx_RefNannyFinishContext();
4821 static PyObject *__pyx_pw_8PyClical_9index_set_30__ior__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs);
4822 static char __pyx_doc_8PyClical_9index_set_29__ior__[] =
"\n Set union: or.\n\n >>> x = index_set({1}); x |= index_set({2}); print x\n {1,2}\n >>> x = index_set({1,2}); x |= index_set({2}); print x\n {1,2}\n ";
4823 #if CYTHON_COMPILING_IN_CPYTHON 4824 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_29__ior__;
4826 static PyObject *__pyx_pw_8PyClical_9index_set_30__ior__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs) {
4827 PyObject *__pyx_r = 0;
4828 __Pyx_RefNannyDeclarations
4829 __Pyx_RefNannySetupContext(
"__ior__ (wrapper)", 0);
4830 __pyx_r = __pyx_pf_8PyClical_9index_set_29__ior__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self), ((PyObject *)__pyx_v_rhs));
4833 __Pyx_RefNannyFinishContext();
4837 static PyObject *__pyx_pf_8PyClical_9index_set_29__ior__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs) {
4838 PyObject *__pyx_r = NULL;
4839 __Pyx_RefNannyDeclarations
4840 PyObject *__pyx_t_1 = NULL;
4841 __Pyx_RefNannySetupContext(
"__ior__", 0);
4850 __Pyx_XDECREF(__pyx_r);
4851 __pyx_t_1 = __pyx_f_8PyClical_9index_set_wrap(__pyx_v_self, (__pyx_f_8PyClical_9index_set_unwrap(__pyx_v_self) | __pyx_f_8PyClical_toIndexSet(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 311, __pyx_L1_error)
4852 __Pyx_GOTREF(__pyx_t_1);
4853 __pyx_r = __pyx_t_1;
4867 __Pyx_XDECREF(__pyx_t_1);
4868 __Pyx_AddTraceback(
"PyClical.index_set.__ior__", __pyx_clineno, __pyx_lineno, __pyx_filename);
4871 __Pyx_XGIVEREF(__pyx_r);
4872 __Pyx_RefNannyFinishContext();
4885 static PyObject *__pyx_pw_8PyClical_9index_set_32count(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
4886 static char __pyx_doc_8PyClical_9index_set_31count[] =
"\n Cardinality: Number of indices included in set.\n\n >>> index_set({-1,1,2}).count()\n 3\n ";
4887 static PyObject *__pyx_pw_8PyClical_9index_set_32count(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
4888 PyObject *__pyx_r = 0;
4889 __Pyx_RefNannyDeclarations
4890 __Pyx_RefNannySetupContext(
"count (wrapper)", 0);
4891 __pyx_r = __pyx_pf_8PyClical_9index_set_31count(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
4894 __Pyx_RefNannyFinishContext();
4898 static PyObject *__pyx_pf_8PyClical_9index_set_31count(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
4899 PyObject *__pyx_r = NULL;
4900 __Pyx_RefNannyDeclarations
4901 PyObject *__pyx_t_1 = NULL;
4902 __Pyx_RefNannySetupContext(
"count", 0);
4911 __Pyx_XDECREF(__pyx_r);
4912 __pyx_t_1 = __Pyx_PyInt_From_int(__pyx_v_self->instance->count());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 320, __pyx_L1_error)
4913 __Pyx_GOTREF(__pyx_t_1);
4914 __pyx_r = __pyx_t_1;
4928 __Pyx_XDECREF(__pyx_t_1);
4929 __Pyx_AddTraceback(
"PyClical.index_set.count", __pyx_clineno, __pyx_lineno, __pyx_filename);
4932 __Pyx_XGIVEREF(__pyx_r);
4933 __Pyx_RefNannyFinishContext();
4946 static PyObject *__pyx_pw_8PyClical_9index_set_34count_neg(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
4947 static char __pyx_doc_8PyClical_9index_set_33count_neg[] =
"\n Number of negative indices included in set.\n\n >>> index_set({-1,1,2}).count_neg()\n 1\n ";
4948 static PyObject *__pyx_pw_8PyClical_9index_set_34count_neg(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
4949 PyObject *__pyx_r = 0;
4950 __Pyx_RefNannyDeclarations
4951 __Pyx_RefNannySetupContext(
"count_neg (wrapper)", 0);
4952 __pyx_r = __pyx_pf_8PyClical_9index_set_33count_neg(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
4955 __Pyx_RefNannyFinishContext();
4959 static PyObject *__pyx_pf_8PyClical_9index_set_33count_neg(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
4960 PyObject *__pyx_r = NULL;
4961 __Pyx_RefNannyDeclarations
4962 PyObject *__pyx_t_1 = NULL;
4963 __Pyx_RefNannySetupContext(
"count_neg", 0);
4972 __Pyx_XDECREF(__pyx_r);
4973 __pyx_t_1 = __Pyx_PyInt_From_int(__pyx_v_self->instance->count_neg());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 329, __pyx_L1_error)
4974 __Pyx_GOTREF(__pyx_t_1);
4975 __pyx_r = __pyx_t_1;
4989 __Pyx_XDECREF(__pyx_t_1);
4990 __Pyx_AddTraceback(
"PyClical.index_set.count_neg", __pyx_clineno, __pyx_lineno, __pyx_filename);
4993 __Pyx_XGIVEREF(__pyx_r);
4994 __Pyx_RefNannyFinishContext();
5007 static PyObject *__pyx_pw_8PyClical_9index_set_36count_pos(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
5008 static char __pyx_doc_8PyClical_9index_set_35count_pos[] =
"\n Number of positive indices included in set.\n\n >>> index_set({-1,1,2}).count_pos()\n 2\n ";
5009 static PyObject *__pyx_pw_8PyClical_9index_set_36count_pos(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
5010 PyObject *__pyx_r = 0;
5011 __Pyx_RefNannyDeclarations
5012 __Pyx_RefNannySetupContext(
"count_pos (wrapper)", 0);
5013 __pyx_r = __pyx_pf_8PyClical_9index_set_35count_pos(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
5016 __Pyx_RefNannyFinishContext();
5020 static PyObject *__pyx_pf_8PyClical_9index_set_35count_pos(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
5021 PyObject *__pyx_r = NULL;
5022 __Pyx_RefNannyDeclarations
5023 PyObject *__pyx_t_1 = NULL;
5024 __Pyx_RefNannySetupContext(
"count_pos", 0);
5033 __Pyx_XDECREF(__pyx_r);
5034 __pyx_t_1 = __Pyx_PyInt_From_int(__pyx_v_self->instance->count_pos());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 338, __pyx_L1_error)
5035 __Pyx_GOTREF(__pyx_t_1);
5036 __pyx_r = __pyx_t_1;
5050 __Pyx_XDECREF(__pyx_t_1);
5051 __Pyx_AddTraceback(
"PyClical.index_set.count_pos", __pyx_clineno, __pyx_lineno, __pyx_filename);
5054 __Pyx_XGIVEREF(__pyx_r);
5055 __Pyx_RefNannyFinishContext();
5068 static PyObject *__pyx_pw_8PyClical_9index_set_38min(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
5069 static char __pyx_doc_8PyClical_9index_set_37min[] =
"\n Minimum member.\n\n >>> index_set({-1,1,2}).min()\n -1\n ";
5070 static PyObject *__pyx_pw_8PyClical_9index_set_38min(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
5071 PyObject *__pyx_r = 0;
5072 __Pyx_RefNannyDeclarations
5073 __Pyx_RefNannySetupContext(
"min (wrapper)", 0);
5074 __pyx_r = __pyx_pf_8PyClical_9index_set_37min(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
5077 __Pyx_RefNannyFinishContext();
5081 static PyObject *__pyx_pf_8PyClical_9index_set_37min(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
5082 PyObject *__pyx_r = NULL;
5083 __Pyx_RefNannyDeclarations
5084 PyObject *__pyx_t_1 = NULL;
5085 __Pyx_RefNannySetupContext(
"min", 0);
5094 __Pyx_XDECREF(__pyx_r);
5095 __pyx_t_1 = __Pyx_PyInt_From_int(__pyx_v_self->instance->min());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 347, __pyx_L1_error)
5096 __Pyx_GOTREF(__pyx_t_1);
5097 __pyx_r = __pyx_t_1;
5111 __Pyx_XDECREF(__pyx_t_1);
5112 __Pyx_AddTraceback(
"PyClical.index_set.min", __pyx_clineno, __pyx_lineno, __pyx_filename);
5115 __Pyx_XGIVEREF(__pyx_r);
5116 __Pyx_RefNannyFinishContext();
5129 static PyObject *__pyx_pw_8PyClical_9index_set_40max(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
5130 static char __pyx_doc_8PyClical_9index_set_39max[] =
"\n Maximum member.\n\n >>> index_set({-1,1,2}).max()\n 2\n ";
5131 static PyObject *__pyx_pw_8PyClical_9index_set_40max(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
5132 PyObject *__pyx_r = 0;
5133 __Pyx_RefNannyDeclarations
5134 __Pyx_RefNannySetupContext(
"max (wrapper)", 0);
5135 __pyx_r = __pyx_pf_8PyClical_9index_set_39max(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
5138 __Pyx_RefNannyFinishContext();
5142 static PyObject *__pyx_pf_8PyClical_9index_set_39max(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
5143 PyObject *__pyx_r = NULL;
5144 __Pyx_RefNannyDeclarations
5145 PyObject *__pyx_t_1 = NULL;
5146 __Pyx_RefNannySetupContext(
"max", 0);
5155 __Pyx_XDECREF(__pyx_r);
5156 __pyx_t_1 = __Pyx_PyInt_From_int(__pyx_v_self->instance->max());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 356, __pyx_L1_error)
5157 __Pyx_GOTREF(__pyx_t_1);
5158 __pyx_r = __pyx_t_1;
5172 __Pyx_XDECREF(__pyx_t_1);
5173 __Pyx_AddTraceback(
"PyClical.index_set.max", __pyx_clineno, __pyx_lineno, __pyx_filename);
5176 __Pyx_XGIVEREF(__pyx_r);
5177 __Pyx_RefNannyFinishContext();
5190 static PyObject *__pyx_pw_8PyClical_9index_set_42hash_fn(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
5191 static char __pyx_doc_8PyClical_9index_set_41hash_fn[] =
"\n Hash function.\n ";
5192 static PyObject *__pyx_pw_8PyClical_9index_set_42hash_fn(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
5193 PyObject *__pyx_r = 0;
5194 __Pyx_RefNannyDeclarations
5195 __Pyx_RefNannySetupContext(
"hash_fn (wrapper)", 0);
5196 __pyx_r = __pyx_pf_8PyClical_9index_set_41hash_fn(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
5199 __Pyx_RefNannyFinishContext();
5203 static PyObject *__pyx_pf_8PyClical_9index_set_41hash_fn(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
5204 PyObject *__pyx_r = NULL;
5205 __Pyx_RefNannyDeclarations
5206 PyObject *__pyx_t_1 = NULL;
5207 __Pyx_RefNannySetupContext(
"hash_fn", 0);
5216 __Pyx_XDECREF(__pyx_r);
5217 __pyx_t_1 = __Pyx_PyInt_From_int(__pyx_v_self->instance->hash_fn());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 362, __pyx_L1_error)
5218 __Pyx_GOTREF(__pyx_t_1);
5219 __pyx_r = __pyx_t_1;
5233 __Pyx_XDECREF(__pyx_t_1);
5234 __Pyx_AddTraceback(
"PyClical.index_set.hash_fn", __pyx_clineno, __pyx_lineno, __pyx_filename);
5237 __Pyx_XGIVEREF(__pyx_r);
5238 __Pyx_RefNannyFinishContext();
5251 static PyObject *__pyx_pw_8PyClical_9index_set_44sign_of_mult(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs);
5252 static char __pyx_doc_8PyClical_9index_set_43sign_of_mult[] =
"\n Sign of geometric product of two Clifford basis elements.\n\n >>> s = index_set({1,2}); t=index_set({-1}); s.sign_of_mult(t)\n 1\n ";
5253 static PyObject *__pyx_pw_8PyClical_9index_set_44sign_of_mult(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs) {
5254 PyObject *__pyx_r = 0;
5255 __Pyx_RefNannyDeclarations
5256 __Pyx_RefNannySetupContext(
"sign_of_mult (wrapper)", 0);
5257 __pyx_r = __pyx_pf_8PyClical_9index_set_43sign_of_mult(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self), ((PyObject *)__pyx_v_rhs));
5260 __Pyx_RefNannyFinishContext();
5264 static PyObject *__pyx_pf_8PyClical_9index_set_43sign_of_mult(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs) {
5265 PyObject *__pyx_r = NULL;
5266 __Pyx_RefNannyDeclarations
5267 PyObject *__pyx_t_1 = NULL;
5268 __Pyx_RefNannySetupContext(
"sign_of_mult", 0);
5277 __Pyx_XDECREF(__pyx_r);
5278 __pyx_t_1 = __Pyx_PyInt_From_int(__pyx_v_self->instance->sign_of_mult(__pyx_f_8PyClical_toIndexSet(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 371, __pyx_L1_error)
5279 __Pyx_GOTREF(__pyx_t_1);
5280 __pyx_r = __pyx_t_1;
5294 __Pyx_XDECREF(__pyx_t_1);
5295 __Pyx_AddTraceback(
"PyClical.index_set.sign_of_mult", __pyx_clineno, __pyx_lineno, __pyx_filename);
5298 __Pyx_XGIVEREF(__pyx_r);
5299 __Pyx_RefNannyFinishContext();
5312 static PyObject *__pyx_pw_8PyClical_9index_set_46sign_of_square(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
5313 static char __pyx_doc_8PyClical_9index_set_45sign_of_square[] =
"\n Sign of geometric square of a Clifford basis element.\n\n >>> s = index_set({1,2}); s.sign_of_square()\n -1\n ";
5314 static PyObject *__pyx_pw_8PyClical_9index_set_46sign_of_square(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
5315 PyObject *__pyx_r = 0;
5316 __Pyx_RefNannyDeclarations
5317 __Pyx_RefNannySetupContext(
"sign_of_square (wrapper)", 0);
5318 __pyx_r = __pyx_pf_8PyClical_9index_set_45sign_of_square(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
5321 __Pyx_RefNannyFinishContext();
5325 static PyObject *__pyx_pf_8PyClical_9index_set_45sign_of_square(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
5326 PyObject *__pyx_r = NULL;
5327 __Pyx_RefNannyDeclarations
5328 PyObject *__pyx_t_1 = NULL;
5329 __Pyx_RefNannySetupContext(
"sign_of_square", 0);
5338 __Pyx_XDECREF(__pyx_r);
5339 __pyx_t_1 = __Pyx_PyInt_From_int(__pyx_v_self->instance->sign_of_square());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 380, __pyx_L1_error)
5340 __Pyx_GOTREF(__pyx_t_1);
5341 __pyx_r = __pyx_t_1;
5355 __Pyx_XDECREF(__pyx_t_1);
5356 __Pyx_AddTraceback(
"PyClical.index_set.sign_of_square", __pyx_clineno, __pyx_lineno, __pyx_filename);
5359 __Pyx_XGIVEREF(__pyx_r);
5360 __Pyx_RefNannyFinishContext();
5373 static PyObject *__pyx_pw_8PyClical_9index_set_48__repr__(PyObject *__pyx_v_self);
5374 static char __pyx_doc_8PyClical_9index_set_47__repr__[] =
"\n The \342\200\234official\342\200\235 string representation of self.\n\n >>> index_set({1,2}).__repr__()\n 'index_set({1,2})'\n >>> repr(index_set({1,2}))\n 'index_set({1,2})'\n ";
5375 #if CYTHON_COMPILING_IN_CPYTHON 5376 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_47__repr__;
5378 static PyObject *__pyx_pw_8PyClical_9index_set_48__repr__(PyObject *__pyx_v_self) {
5379 PyObject *__pyx_r = 0;
5380 __Pyx_RefNannyDeclarations
5381 __Pyx_RefNannySetupContext(
"__repr__ (wrapper)", 0);
5382 __pyx_r = __pyx_pf_8PyClical_9index_set_47__repr__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
5385 __Pyx_RefNannyFinishContext();
5389 static PyObject *__pyx_pf_8PyClical_9index_set_47__repr__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
5390 PyObject *__pyx_r = NULL;
5391 __Pyx_RefNannyDeclarations
5392 PyObject *__pyx_t_1 = NULL;
5393 __Pyx_RefNannySetupContext(
"__repr__", 0);
5402 __Pyx_XDECREF(__pyx_r);
5403 __pyx_t_1 = __Pyx_PyBytes_FromString(
index_set_to_repr(__pyx_f_8PyClical_9index_set_unwrap(__pyx_v_self)).c_str());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 391, __pyx_L1_error)
5404 __Pyx_GOTREF(__pyx_t_1);
5405 __pyx_r = __pyx_t_1;
5419 __Pyx_XDECREF(__pyx_t_1);
5420 __Pyx_AddTraceback(
"PyClical.index_set.__repr__", __pyx_clineno, __pyx_lineno, __pyx_filename);
5423 __Pyx_XGIVEREF(__pyx_r);
5424 __Pyx_RefNannyFinishContext();
5437 static PyObject *__pyx_pw_8PyClical_9index_set_50__str__(PyObject *__pyx_v_self);
5438 static char __pyx_doc_8PyClical_9index_set_49__str__[] =
"\n The \342\200\234informal\342\200\235 string representation of self.\n\n >>> index_set({1,2}).__str__()\n '{1,2}'\n >>> str(index_set({1,2}))\n '{1,2}'\n ";
5439 #if CYTHON_COMPILING_IN_CPYTHON 5440 struct wrapperbase __pyx_wrapperbase_8PyClical_9index_set_49__str__;
5442 static PyObject *__pyx_pw_8PyClical_9index_set_50__str__(PyObject *__pyx_v_self) {
5443 PyObject *__pyx_r = 0;
5444 __Pyx_RefNannyDeclarations
5445 __Pyx_RefNannySetupContext(
"__str__ (wrapper)", 0);
5446 __pyx_r = __pyx_pf_8PyClical_9index_set_49__str__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
5449 __Pyx_RefNannyFinishContext();
5453 static PyObject *__pyx_pf_8PyClical_9index_set_49__str__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
5454 PyObject *__pyx_r = NULL;
5455 __Pyx_RefNannyDeclarations
5456 PyObject *__pyx_t_1 = NULL;
5457 __Pyx_RefNannySetupContext(
"__str__", 0);
5466 __Pyx_XDECREF(__pyx_r);
5467 __pyx_t_1 = __Pyx_PyBytes_FromString(
index_set_to_str(__pyx_f_8PyClical_9index_set_unwrap(__pyx_v_self)).c_str());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 402, __pyx_L1_error)
5468 __Pyx_GOTREF(__pyx_t_1);
5469 __pyx_r = __pyx_t_1;
5483 __Pyx_XDECREF(__pyx_t_1);
5484 __Pyx_AddTraceback(
"PyClical.index_set.__str__", __pyx_clineno, __pyx_lineno, __pyx_filename);
5487 __Pyx_XGIVEREF(__pyx_r);
5488 __Pyx_RefNannyFinishContext();
5499 static PyObject *__pyx_pw_8PyClical_9index_set_52__reduce_cython__(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
5500 static PyObject *__pyx_pw_8PyClical_9index_set_52__reduce_cython__(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
5501 PyObject *__pyx_r = 0;
5502 __Pyx_RefNannyDeclarations
5503 __Pyx_RefNannySetupContext(
"__reduce_cython__ (wrapper)", 0);
5504 __pyx_r = __pyx_pf_8PyClical_9index_set_51__reduce_cython__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self));
5507 __Pyx_RefNannyFinishContext();
5511 static PyObject *__pyx_pf_8PyClical_9index_set_51__reduce_cython__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_index_set *__pyx_v_self) {
5512 PyObject *__pyx_r = NULL;
5513 __Pyx_RefNannyDeclarations
5514 PyObject *__pyx_t_1 = NULL;
5515 __Pyx_RefNannySetupContext(
"__reduce_cython__", 0);
5523 __pyx_t_1 = __Pyx_PyObject_Call(__pyx_builtin_TypeError, __pyx_tuple__3, NULL);
if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 2, __pyx_L1_error)
5524 __Pyx_GOTREF(__pyx_t_1);
5525 __Pyx_Raise(__pyx_t_1, 0, 0, 0);
5526 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
5527 __PYX_ERR(1, 2, __pyx_L1_error)
5537 __Pyx_XDECREF(__pyx_t_1);
5538 __Pyx_AddTraceback(
"PyClical.index_set.__reduce_cython__", __pyx_clineno, __pyx_lineno, __pyx_filename);
5540 __Pyx_XGIVEREF(__pyx_r);
5541 __Pyx_RefNannyFinishContext();
5553 static PyObject *__pyx_pw_8PyClical_9index_set_54__setstate_cython__(PyObject *__pyx_v_self, PyObject *__pyx_v___pyx_state);
5554 static PyObject *__pyx_pw_8PyClical_9index_set_54__setstate_cython__(PyObject *__pyx_v_self, PyObject *__pyx_v___pyx_state) {
5555 PyObject *__pyx_r = 0;
5556 __Pyx_RefNannyDeclarations
5557 __Pyx_RefNannySetupContext(
"__setstate_cython__ (wrapper)", 0);
5558 __pyx_r = __pyx_pf_8PyClical_9index_set_53__setstate_cython__(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_self), ((PyObject *)__pyx_v___pyx_state));
5561 __Pyx_RefNannyFinishContext();
5565 static PyObject *__pyx_pf_8PyClical_9index_set_53__setstate_cython__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state) {
5566 PyObject *__pyx_r = NULL;
5567 __Pyx_RefNannyDeclarations
5568 PyObject *__pyx_t_1 = NULL;
5569 __Pyx_RefNannySetupContext(
"__setstate_cython__", 0);
5576 __pyx_t_1 = __Pyx_PyObject_Call(__pyx_builtin_TypeError, __pyx_tuple__4, NULL);
if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 4, __pyx_L1_error)
5577 __Pyx_GOTREF(__pyx_t_1);
5578 __Pyx_Raise(__pyx_t_1, 0, 0, 0);
5579 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
5580 __PYX_ERR(1, 4, __pyx_L1_error)
5591 __Pyx_XDECREF(__pyx_t_1);
5592 __Pyx_AddTraceback(
"PyClical.index_set.__setstate_cython__", __pyx_clineno, __pyx_lineno, __pyx_filename);
5594 __Pyx_XGIVEREF(__pyx_r);
5595 __Pyx_RefNannyFinishContext();
5608 static PyObject *__pyx_pw_8PyClical_1index_set_hidden_doctests(PyObject *__pyx_self, CYTHON_UNUSED PyObject *unused);
5609 static char __pyx_doc_8PyClical_index_set_hidden_doctests[] =
"\n Tests for functions that Doctest cannot see.\n\n For index_set.__cinit__: Construct index_set.\n\n >>> print index_set(1)\n {1}\n >>> print index_set({1,2})\n {1,2}\n >>> print index_set(index_set({1,2}))\n {1,2}\n >>> print index_set({1,2})\n {1,2}\n >>> print index_set({1,2,1})\n {1,2}\n >>> print index_set({1,2,1})\n {1,2}\n >>> print index_set(\"\")\n {}\n >>> print index_set(\"{\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize index_set object from invalid string '{'.\n >>> print index_set(\"{1\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize index_set object from invalid string '{1'.\n >>> print index_set(\"{1,2,100}\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize index_set object from invalid string '{1,2,100}'.\n >>> print index_set({1,2,100})\n Traceback (most recent call last):\n ...\n IndexError: Cannot initialize index_set object from invalid set([1, 2, 100]).\n >>> print index_set([1,2])\n Traceback (most recent call last):\n ...\n TypeError: Cannot initialize index_set object from <type 'list'>.\n\n For index_set.__richcmp__: Compare two objects of class index_set.\n\n >>> index_set(1) == index_set({1})\n True\n >>> index_set({1}) != index_set({1})\n False\n >>> index_set({1}) != index_set({2})\n True\n >>> index_set({1}) == index_set({2})\n False\n >>> index_set({1}) < index_set({2})\n True\n >>> index_set({1}) <= index_set({2})\n True\n >>> index_set({1}) > index_set({2})\n False\n >>> index_set({1}) >= index_set({2})\n False\n >>> None == index_set({1,2})\n False\n >>> None != index_set({1,2})\n True\n >>> None < index_set({1,2})\n False\n >>> None <= index_set({1,2})\n False\n >>> None > index_set({1,2})\n False\n >>> None >= index_set({1,2})\n False\n >>> index_se""t({1,2}) == None\n False\n >>> index_set({1,2}) != None\n True\n >>> index_set({1,2}) < None\n False\n >>> index_set({1,2}) <= None\n False\n >>> index_set({1,2}) > None\n False\n >>> index_set({1,2}) >= None\n False\n ";
5610 static PyMethodDef __pyx_mdef_8PyClical_1index_set_hidden_doctests = {
"index_set_hidden_doctests", (PyCFunction)__pyx_pw_8PyClical_1index_set_hidden_doctests, METH_NOARGS, __pyx_doc_8PyClical_index_set_hidden_doctests};
5611 static PyObject *__pyx_pw_8PyClical_1index_set_hidden_doctests(PyObject *__pyx_self, CYTHON_UNUSED PyObject *unused) {
5612 PyObject *__pyx_r = 0;
5613 __Pyx_RefNannyDeclarations
5614 __Pyx_RefNannySetupContext(
"index_set_hidden_doctests (wrapper)", 0);
5615 __pyx_r = __pyx_pf_8PyClical_index_set_hidden_doctests(__pyx_self);
5618 __Pyx_RefNannyFinishContext();
5622 static PyObject *__pyx_pf_8PyClical_index_set_hidden_doctests(CYTHON_UNUSED PyObject *__pyx_self) {
5623 PyObject *__pyx_r = NULL;
5624 __Pyx_RefNannyDeclarations
5625 __Pyx_RefNannySetupContext(
"index_set_hidden_doctests", 0);
5634 __Pyx_XDECREF(__pyx_r);
5635 __pyx_r = Py_None; __Pyx_INCREF(Py_None);
5648 __Pyx_XGIVEREF(__pyx_r);
5649 __Pyx_RefNannyFinishContext();
5661 static PyObject *__pyx_pw_8PyClical_3compare(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
5662 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_compare(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs, CYTHON_UNUSED
int __pyx_skip_dispatch) {
5663 PyObject *__pyx_r = NULL;
5664 __Pyx_RefNannyDeclarations
5665 PyObject *__pyx_t_1 = NULL;
5666 __Pyx_RefNannySetupContext(
"compare", 0);
5675 __Pyx_XDECREF(__pyx_r);
5676 __pyx_t_1 = __Pyx_PyInt_From_int(
compare(__pyx_f_8PyClical_toIndexSet(__pyx_v_lhs), __pyx_f_8PyClical_toIndexSet(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 500, __pyx_L1_error)
5677 __Pyx_GOTREF(__pyx_t_1);
5678 __pyx_r = __pyx_t_1;
5692 __Pyx_XDECREF(__pyx_t_1);
5693 __Pyx_AddTraceback(
"PyClical.compare", __pyx_clineno, __pyx_lineno, __pyx_filename);
5696 __Pyx_XGIVEREF(__pyx_r);
5697 __Pyx_RefNannyFinishContext();
5702 static PyObject *__pyx_pw_8PyClical_3compare(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
5703 static char __pyx_doc_8PyClical_2compare[] =
"\n \"lexicographic compare\" eg. {3,4,5} is less than {3,7,8};\n -1 if a<b, +1 if a>b, 0 if a==b.\n\n >>> compare(index_set({1,2}),index_set({-1,3}))\n -1\n >>> compare(index_set({-1,4}),index_set({-1,3}))\n 1\n ";
5704 static PyObject *__pyx_pw_8PyClical_3compare(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
5705 PyObject *__pyx_v_lhs = 0;
5706 PyObject *__pyx_v_rhs = 0;
5707 PyObject *__pyx_r = 0;
5708 __Pyx_RefNannyDeclarations
5709 __Pyx_RefNannySetupContext(
"compare (wrapper)", 0);
5711 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_lhs,&__pyx_n_s_rhs,0};
5712 PyObject* values[2] = {0,0};
5713 if (unlikely(__pyx_kwds)) {
5715 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
5717 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
5719 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
5722 default:
goto __pyx_L5_argtuple_error;
5724 kw_args = PyDict_Size(__pyx_kwds);
5727 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_lhs)) != 0)) kw_args--;
5728 else goto __pyx_L5_argtuple_error;
5731 if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_rhs)) != 0)) kw_args--;
5733 __Pyx_RaiseArgtupleInvalid(
"compare", 1, 2, 2, 1); __PYX_ERR(0, 490, __pyx_L3_error)
5736 if (unlikely(kw_args > 0)) {
5737 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"compare") < 0)) __PYX_ERR(0, 490, __pyx_L3_error)
5739 }
else if (PyTuple_GET_SIZE(__pyx_args) != 2) {
5740 goto __pyx_L5_argtuple_error;
5742 values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
5743 values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
5745 __pyx_v_lhs = values[0];
5746 __pyx_v_rhs = values[1];
5748 goto __pyx_L4_argument_unpacking_done;
5749 __pyx_L5_argtuple_error:;
5750 __Pyx_RaiseArgtupleInvalid(
"compare", 1, 2, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 490, __pyx_L3_error)
5752 __Pyx_AddTraceback(
"PyClical.compare", __pyx_clineno, __pyx_lineno, __pyx_filename);
5753 __Pyx_RefNannyFinishContext();
5755 __pyx_L4_argument_unpacking_done:;
5756 __pyx_r = __pyx_pf_8PyClical_2compare(__pyx_self, __pyx_v_lhs, __pyx_v_rhs);
5759 __Pyx_RefNannyFinishContext();
5763 static PyObject *__pyx_pf_8PyClical_2compare(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
5764 PyObject *__pyx_r = NULL;
5765 __Pyx_RefNannyDeclarations
5766 PyObject *__pyx_t_1 = NULL;
5767 __Pyx_RefNannySetupContext(
"compare", 0);
5768 __Pyx_XDECREF(__pyx_r);
5769 __pyx_t_1 = __pyx_f_8PyClical_compare(__pyx_v_lhs, __pyx_v_rhs, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 490, __pyx_L1_error)
5770 __Pyx_GOTREF(__pyx_t_1);
5771 __pyx_r = __pyx_t_1;
5777 __Pyx_XDECREF(__pyx_t_1);
5778 __Pyx_AddTraceback(
"PyClical.compare", __pyx_clineno, __pyx_lineno, __pyx_filename);
5781 __Pyx_XGIVEREF(__pyx_r);
5782 __Pyx_RefNannyFinishContext();
5794 static PyObject *__pyx_pw_8PyClical_5min_neg(PyObject *__pyx_self, PyObject *__pyx_v_obj);
5795 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_min_neg(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
5796 PyObject *__pyx_r = NULL;
5797 __Pyx_RefNannyDeclarations
5798 PyObject *__pyx_t_1 = NULL;
5799 __Pyx_RefNannySetupContext(
"min_neg", 0);
5808 __Pyx_XDECREF(__pyx_r);
5809 __pyx_t_1 = __Pyx_PyInt_From_int(
min_neg(__pyx_f_8PyClical_toIndexSet(__pyx_v_obj)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 509, __pyx_L1_error)
5810 __Pyx_GOTREF(__pyx_t_1);
5811 __pyx_r = __pyx_t_1;
5825 __Pyx_XDECREF(__pyx_t_1);
5826 __Pyx_AddTraceback(
"PyClical.min_neg", __pyx_clineno, __pyx_lineno, __pyx_filename);
5829 __Pyx_XGIVEREF(__pyx_r);
5830 __Pyx_RefNannyFinishContext();
5835 static PyObject *__pyx_pw_8PyClical_5min_neg(PyObject *__pyx_self, PyObject *__pyx_v_obj);
5836 static char __pyx_doc_8PyClical_4min_neg[] =
"\n Minimum negative index, or 0 if none.\n\n >>> min_neg(index_set({1,2}))\n 0\n ";
5837 static PyObject *__pyx_pw_8PyClical_5min_neg(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
5838 PyObject *__pyx_r = 0;
5839 __Pyx_RefNannyDeclarations
5840 __Pyx_RefNannySetupContext(
"min_neg (wrapper)", 0);
5841 __pyx_r = __pyx_pf_8PyClical_4min_neg(__pyx_self, ((PyObject *)__pyx_v_obj));
5844 __Pyx_RefNannyFinishContext();
5848 static PyObject *__pyx_pf_8PyClical_4min_neg(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
5849 PyObject *__pyx_r = NULL;
5850 __Pyx_RefNannyDeclarations
5851 PyObject *__pyx_t_1 = NULL;
5852 __Pyx_RefNannySetupContext(
"min_neg", 0);
5853 __Pyx_XDECREF(__pyx_r);
5854 __pyx_t_1 = __pyx_f_8PyClical_min_neg(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 502, __pyx_L1_error)
5855 __Pyx_GOTREF(__pyx_t_1);
5856 __pyx_r = __pyx_t_1;
5862 __Pyx_XDECREF(__pyx_t_1);
5863 __Pyx_AddTraceback(
"PyClical.min_neg", __pyx_clineno, __pyx_lineno, __pyx_filename);
5866 __Pyx_XGIVEREF(__pyx_r);
5867 __Pyx_RefNannyFinishContext();
5879 static PyObject *__pyx_pw_8PyClical_7max_pos(PyObject *__pyx_self, PyObject *__pyx_v_obj);
5880 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_max_pos(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
5881 PyObject *__pyx_r = NULL;
5882 __Pyx_RefNannyDeclarations
5883 PyObject *__pyx_t_1 = NULL;
5884 __Pyx_RefNannySetupContext(
"max_pos", 0);
5893 __Pyx_XDECREF(__pyx_r);
5894 __pyx_t_1 = __Pyx_PyInt_From_int(
max_pos(__pyx_f_8PyClical_toIndexSet(__pyx_v_obj)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 518, __pyx_L1_error)
5895 __Pyx_GOTREF(__pyx_t_1);
5896 __pyx_r = __pyx_t_1;
5910 __Pyx_XDECREF(__pyx_t_1);
5911 __Pyx_AddTraceback(
"PyClical.max_pos", __pyx_clineno, __pyx_lineno, __pyx_filename);
5914 __Pyx_XGIVEREF(__pyx_r);
5915 __Pyx_RefNannyFinishContext();
5920 static PyObject *__pyx_pw_8PyClical_7max_pos(PyObject *__pyx_self, PyObject *__pyx_v_obj);
5921 static char __pyx_doc_8PyClical_6max_pos[] =
"\n Maximum positive index, or 0 if none.\n\n >>> max_pos(index_set({1,2}))\n 2\n ";
5922 static PyObject *__pyx_pw_8PyClical_7max_pos(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
5923 PyObject *__pyx_r = 0;
5924 __Pyx_RefNannyDeclarations
5925 __Pyx_RefNannySetupContext(
"max_pos (wrapper)", 0);
5926 __pyx_r = __pyx_pf_8PyClical_6max_pos(__pyx_self, ((PyObject *)__pyx_v_obj));
5929 __Pyx_RefNannyFinishContext();
5933 static PyObject *__pyx_pf_8PyClical_6max_pos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
5934 PyObject *__pyx_r = NULL;
5935 __Pyx_RefNannyDeclarations
5936 PyObject *__pyx_t_1 = NULL;
5937 __Pyx_RefNannySetupContext(
"max_pos", 0);
5938 __Pyx_XDECREF(__pyx_r);
5939 __pyx_t_1 = __pyx_f_8PyClical_max_pos(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 511, __pyx_L1_error)
5940 __Pyx_GOTREF(__pyx_t_1);
5941 __pyx_r = __pyx_t_1;
5947 __Pyx_XDECREF(__pyx_t_1);
5948 __Pyx_AddTraceback(
"PyClical.max_pos", __pyx_clineno, __pyx_lineno, __pyx_filename);
5951 __Pyx_XGIVEREF(__pyx_r);
5952 __Pyx_RefNannyFinishContext();
5964 static CYTHON_INLINE std::vector<scalar_t> __pyx_f_8PyClical_list_to_vector(PyObject *__pyx_v_lst) {
5965 std::vector<scalar_t> __pyx_v_v;
5966 PyObject *__pyx_v_s = NULL;
5967 std::vector<scalar_t> __pyx_r;
5968 __Pyx_RefNannyDeclarations
5969 PyObject *__pyx_t_1 = NULL;
5970 Py_ssize_t __pyx_t_2;
5971 PyObject *(*__pyx_t_3)(PyObject *);
5972 PyObject *__pyx_t_4 = NULL;
5974 __Pyx_RefNannySetupContext(
"list_to_vector", 0);
5983 if (likely(PyList_CheckExact(__pyx_v_lst)) || PyTuple_CheckExact(__pyx_v_lst)) {
5984 __pyx_t_1 = __pyx_v_lst; __Pyx_INCREF(__pyx_t_1); __pyx_t_2 = 0;
5987 __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_v_lst);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 525, __pyx_L1_error)
5988 __Pyx_GOTREF(__pyx_t_1);
5989 __pyx_t_3 = Py_TYPE(__pyx_t_1)->tp_iternext;
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 525, __pyx_L1_error)
5992 if (likely(!__pyx_t_3)) {
5993 if (likely(PyList_CheckExact(__pyx_t_1))) {
5994 if (__pyx_t_2 >= PyList_GET_SIZE(__pyx_t_1))
break;
5995 #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS 5996 __pyx_t_4 = PyList_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++;
if (unlikely(0 < 0)) __PYX_ERR(0, 525, __pyx_L1_error)
5998 __pyx_t_4 = PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++;
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 525, __pyx_L1_error)
5999 __Pyx_GOTREF(__pyx_t_4);
6002 if (__pyx_t_2 >= PyTuple_GET_SIZE(__pyx_t_1))
break;
6003 #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS 6004 __pyx_t_4 = PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++;
if (unlikely(0 < 0)) __PYX_ERR(0, 525, __pyx_L1_error)
6006 __pyx_t_4 = PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++;
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 525, __pyx_L1_error)
6007 __Pyx_GOTREF(__pyx_t_4);
6011 __pyx_t_4 = __pyx_t_3(__pyx_t_1);
6012 if (unlikely(!__pyx_t_4)) {
6013 PyObject* exc_type = PyErr_Occurred();
6015 if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
6016 else __PYX_ERR(0, 525, __pyx_L1_error)
6020 __Pyx_GOTREF(__pyx_t_4);
6022 __Pyx_XDECREF_SET(__pyx_v_s, __pyx_t_4);
6032 __pyx_t_5 = __pyx_PyFloat_AsDouble(__pyx_v_s);
if (unlikely((__pyx_t_5 == ((
scalar_t)-1)) && PyErr_Occurred())) __PYX_ERR(0, 526, __pyx_L1_error)
6034 __pyx_v_v.push_back(((
scalar_t)__pyx_t_5));
6036 __Pyx_CppExn2PyErr();
6037 __PYX_ERR(0, 526, __pyx_L1_error)
6048 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
6057 __pyx_r = __pyx_v_v;
6070 __Pyx_XDECREF(__pyx_t_1);
6071 __Pyx_XDECREF(__pyx_t_4);
6072 __Pyx_WriteUnraisable(
"PyClical.list_to_vector", __pyx_clineno, __pyx_lineno, __pyx_filename, 1, 0);
6073 __Pyx_pretend_to_initialize(&__pyx_r);
6075 __Pyx_XDECREF(__pyx_v_s);
6076 __Pyx_RefNannyFinishContext();
6088 static CYTHON_INLINE
Clifford __pyx_f_8PyClical_toClifford(PyObject *__pyx_v_obj) {
6090 __Pyx_RefNannyDeclarations
6091 PyObject *__pyx_t_1 = NULL;
6092 __Pyx_RefNannySetupContext(
"toClifford", 0);
6101 __pyx_t_1 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 533, __pyx_L1_error)
6102 __Pyx_GOTREF(__pyx_t_1);
6103 __pyx_r = (((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1)->instance[0]);
6104 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
6117 __Pyx_XDECREF(__pyx_t_1);
6118 __Pyx_WriteUnraisable(
"PyClical.toClifford", __pyx_clineno, __pyx_lineno, __pyx_filename, 1, 0);
6119 __Pyx_pretend_to_initialize(&__pyx_r);
6121 __Pyx_RefNannyFinishContext();
6133 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_8clifford_wrap(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self,
Clifford __pyx_v_other) {
6134 PyObject *__pyx_r = NULL;
6135 __Pyx_RefNannyDeclarations
6136 __Pyx_RefNannySetupContext(
"wrap", 0);
6145 (__pyx_v_self->instance[0]) = __pyx_v_other;
6154 __Pyx_XDECREF(__pyx_r);
6155 __Pyx_INCREF(((PyObject *)__pyx_v_self));
6156 __pyx_r = ((PyObject *)__pyx_v_self);
6169 __Pyx_XGIVEREF(__pyx_r);
6170 __Pyx_RefNannyFinishContext();
6182 static CYTHON_INLINE
Clifford __pyx_f_8PyClical_8clifford_unwrap(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
6184 __Pyx_RefNannyDeclarations
6185 __Pyx_RefNannySetupContext(
"unwrap", 0);
6194 __pyx_r = (__pyx_v_self->instance[0]);
6207 __Pyx_RefNannyFinishContext();
6219 static PyObject *__pyx_pw_8PyClical_8clifford_1copy(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
6220 static PyObject *__pyx_f_8PyClical_8clifford_copy(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self,
int __pyx_skip_dispatch) {
6221 PyObject *__pyx_r = NULL;
6222 __Pyx_RefNannyDeclarations
6223 PyObject *__pyx_t_1 = NULL;
6224 PyObject *__pyx_t_2 = NULL;
6225 PyObject *__pyx_t_3 = NULL;
6226 PyObject *__pyx_t_4 = NULL;
6227 __Pyx_RefNannySetupContext(
"copy", 0);
6229 if (unlikely(__pyx_skip_dispatch)) ;
6231 else if (unlikely((Py_TYPE(((PyObject *)__pyx_v_self))->tp_dictoffset != 0) || (Py_TYPE(((PyObject *)__pyx_v_self))->tp_flags & (Py_TPFLAGS_IS_ABSTRACT | Py_TPFLAGS_HEAPTYPE)))) {
6232 #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS 6233 static PY_UINT64_T __pyx_tp_dict_version = __PYX_DICT_VERSION_INIT, __pyx_obj_dict_version = __PYX_DICT_VERSION_INIT;
6234 if (unlikely(!__Pyx_object_dict_version_matches(((PyObject *)__pyx_v_self), __pyx_tp_dict_version, __pyx_obj_dict_version))) {
6235 PY_UINT64_T __pyx_type_dict_guard = __Pyx_get_tp_dict_version(((PyObject *)__pyx_v_self));
6237 __pyx_t_1 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_self), __pyx_n_s_copy);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 554, __pyx_L1_error)
6238 __Pyx_GOTREF(__pyx_t_1);
6239 if (!PyCFunction_Check(__pyx_t_1) || (PyCFunction_GET_FUNCTION(__pyx_t_1) != (PyCFunction)(
void*)__pyx_pw_8PyClical_8clifford_1copy)) {
6240 __Pyx_XDECREF(__pyx_r);
6241 __Pyx_INCREF(__pyx_t_1);
6242 __pyx_t_3 = __pyx_t_1; __pyx_t_4 = NULL;
6243 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_3))) {
6244 __pyx_t_4 = PyMethod_GET_SELF(__pyx_t_3);
6245 if (likely(__pyx_t_4)) {
6246 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
6247 __Pyx_INCREF(__pyx_t_4);
6248 __Pyx_INCREF(
function);
6249 __Pyx_DECREF_SET(__pyx_t_3,
function);
6252 __pyx_t_2 = (__pyx_t_4) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_4) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
6253 __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
6254 if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 554, __pyx_L1_error)
6255 __Pyx_GOTREF(__pyx_t_2);
6256 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
6257 __pyx_r = __pyx_t_2;
6259 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
6262 #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS 6263 __pyx_tp_dict_version = __Pyx_get_tp_dict_version(((PyObject *)__pyx_v_self));
6264 __pyx_obj_dict_version = __Pyx_get_object_dict_version(((PyObject *)__pyx_v_self));
6265 if (unlikely(__pyx_type_dict_guard != __pyx_tp_dict_version)) {
6266 __pyx_tp_dict_version = __pyx_obj_dict_version = __PYX_DICT_VERSION_INIT;
6269 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
6270 #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS 6282 __Pyx_XDECREF(__pyx_r);
6283 __pyx_t_1 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), ((PyObject *)__pyx_v_self));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 561, __pyx_L1_error)
6284 __Pyx_GOTREF(__pyx_t_1);
6285 __pyx_r = __pyx_t_1;
6299 __Pyx_XDECREF(__pyx_t_1);
6300 __Pyx_XDECREF(__pyx_t_2);
6301 __Pyx_XDECREF(__pyx_t_3);
6302 __Pyx_XDECREF(__pyx_t_4);
6303 __Pyx_AddTraceback(
"PyClical.clifford.copy", __pyx_clineno, __pyx_lineno, __pyx_filename);
6306 __Pyx_XGIVEREF(__pyx_r);
6307 __Pyx_RefNannyFinishContext();
6312 static PyObject *__pyx_pw_8PyClical_8clifford_1copy(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
6313 static char __pyx_doc_8PyClical_8clifford_copy[] =
"\n Copy this clifford object.\n\n >>> x=clifford(\"1{2}\"); y=x.copy(); print y\n {2}\n ";
6314 static PyObject *__pyx_pw_8PyClical_8clifford_1copy(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
6315 PyObject *__pyx_r = 0;
6316 __Pyx_RefNannyDeclarations
6317 __Pyx_RefNannySetupContext(
"copy (wrapper)", 0);
6318 __pyx_r = __pyx_pf_8PyClical_8clifford_copy(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
6321 __Pyx_RefNannyFinishContext();
6325 static PyObject *__pyx_pf_8PyClical_8clifford_copy(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
6326 PyObject *__pyx_r = NULL;
6327 __Pyx_RefNannyDeclarations
6328 PyObject *__pyx_t_1 = NULL;
6329 __Pyx_RefNannySetupContext(
"copy", 0);
6330 __Pyx_XDECREF(__pyx_r);
6331 __pyx_t_1 = __pyx_f_8PyClical_8clifford_copy(__pyx_v_self, 1);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 554, __pyx_L1_error)
6332 __Pyx_GOTREF(__pyx_t_1);
6333 __pyx_r = __pyx_t_1;
6339 __Pyx_XDECREF(__pyx_t_1);
6340 __Pyx_AddTraceback(
"PyClical.clifford.copy", __pyx_clineno, __pyx_lineno, __pyx_filename);
6343 __Pyx_XGIVEREF(__pyx_r);
6344 __Pyx_RefNannyFinishContext();
6357 static int __pyx_pw_8PyClical_8clifford_3__cinit__(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
6358 static int __pyx_pw_8PyClical_8clifford_3__cinit__(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
6359 PyObject *__pyx_v_other = 0;
6360 PyObject *__pyx_v_ixt = 0;
6362 __Pyx_RefNannyDeclarations
6363 __Pyx_RefNannySetupContext(
"__cinit__ (wrapper)", 0);
6365 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_other,&__pyx_n_s_ixt,0};
6366 PyObject* values[2] = {0,0};
6367 values[0] = ((PyObject *)__pyx_int_0);
6368 values[1] = ((PyObject *)Py_None);
6369 if (unlikely(__pyx_kwds)) {
6371 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
6373 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
6375 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
6378 default:
goto __pyx_L5_argtuple_error;
6380 kw_args = PyDict_Size(__pyx_kwds);
6384 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_other);
6385 if (value) { values[0] = value; kw_args--; }
6390 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_ixt);
6391 if (value) { values[1] = value; kw_args--; }
6394 if (unlikely(kw_args > 0)) {
6395 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"__cinit__") < 0)) __PYX_ERR(0, 563, __pyx_L3_error)
6398 switch (PyTuple_GET_SIZE(__pyx_args)) {
6399 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
6401 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
6404 default:
goto __pyx_L5_argtuple_error;
6407 __pyx_v_other = values[0];
6408 __pyx_v_ixt = values[1];
6410 goto __pyx_L4_argument_unpacking_done;
6411 __pyx_L5_argtuple_error:;
6412 __Pyx_RaiseArgtupleInvalid(
"__cinit__", 0, 0, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 563, __pyx_L3_error)
6414 __Pyx_AddTraceback(
"PyClical.clifford.__cinit__", __pyx_clineno, __pyx_lineno, __pyx_filename);
6415 __Pyx_RefNannyFinishContext();
6417 __pyx_L4_argument_unpacking_done:;
6418 __pyx_r = __pyx_pf_8PyClical_8clifford_2__cinit__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), __pyx_v_other, __pyx_v_ixt);
6421 __Pyx_RefNannyFinishContext();
6425 static int __pyx_pf_8PyClical_8clifford_2__cinit__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_other, PyObject *__pyx_v_ixt) {
6426 PyObject *__pyx_v_error_msg_prefix = NULL;
6427 PyObject *__pyx_v_err = NULL;
6429 __Pyx_RefNannyDeclarations
6432 PyObject *__pyx_t_3 = NULL;
6433 PyObject *__pyx_t_4 = NULL;
6434 PyObject *__pyx_t_5 = NULL;
6436 PyObject *__pyx_t_7 = NULL;
6437 PyObject *__pyx_t_8 = NULL;
6439 PyObject *__pyx_t_10 = NULL;
6440 PyObject *__pyx_t_11 = NULL;
6441 PyObject *__pyx_t_12 = NULL;
6444 PyObject *__pyx_t_15 = NULL;
6445 PyObject *__pyx_t_16 = NULL;
6446 PyObject *__pyx_t_17 = NULL;
6447 PyObject *__pyx_t_18 = NULL;
6448 __Pyx_RefNannySetupContext(
"__cinit__", 0);
6457 __Pyx_INCREF(__pyx_kp_s_Cannot_initialize_clifford_objec);
6458 __pyx_v_error_msg_prefix = __pyx_kp_s_Cannot_initialize_clifford_objec;
6467 __pyx_t_1 = (__pyx_v_ixt == Py_None);
6468 __pyx_t_2 = (__pyx_t_1 != 0);
6479 __Pyx_PyThreadState_declare
6480 __Pyx_PyThreadState_assign
6481 __Pyx_ExceptionSave(&__pyx_t_3, &__pyx_t_4, &__pyx_t_5);
6482 __Pyx_XGOTREF(__pyx_t_3);
6483 __Pyx_XGOTREF(__pyx_t_4);
6484 __Pyx_XGOTREF(__pyx_t_5);
6494 __pyx_t_2 = __Pyx_TypeCheck(__pyx_v_other, __pyx_ptype_8PyClical_clifford);
6495 __pyx_t_1 = (__pyx_t_2 != 0);
6506 __pyx_t_6 =
new Clifford(__pyx_f_8PyClical_8clifford_unwrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_other)));
6508 __Pyx_CppExn2PyErr();
6509 __PYX_ERR(0, 592, __pyx_L4_error)
6511 __pyx_v_self->instance = __pyx_t_6;
6530 __pyx_t_1 = __Pyx_TypeCheck(__pyx_v_other, __pyx_ptype_8PyClical_index_set);
6531 __pyx_t_2 = (__pyx_t_1 != 0);
6542 __pyx_t_6 =
new Clifford(__pyx_f_8PyClical_9index_set_unwrap(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_other)), ((
scalar_t)1.0));
6544 __Pyx_CppExn2PyErr();
6545 __PYX_ERR(0, 594, __pyx_L4_error)
6547 __pyx_v_self->instance = __pyx_t_6;
6566 __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_n_s_numbers);
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 595, __pyx_L4_error)
6567 __Pyx_GOTREF(__pyx_t_7);
6568 __pyx_t_8 = __Pyx_PyObject_GetAttrStr(__pyx_t_7, __pyx_n_s_Real);
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 595, __pyx_L4_error)
6569 __Pyx_GOTREF(__pyx_t_8);
6570 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
6571 __pyx_t_2 = PyObject_IsInstance(__pyx_v_other, __pyx_t_8);
if (unlikely(__pyx_t_2 == ((
int)-1))) __PYX_ERR(0, 595, __pyx_L4_error)
6572 __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
6573 __pyx_t_1 = (__pyx_t_2 != 0);
6583 __pyx_t_9 = __pyx_PyFloat_AsDouble(__pyx_v_other);
if (unlikely((__pyx_t_9 == ((
scalar_t)-1)) && PyErr_Occurred())) __PYX_ERR(0, 596, __pyx_L4_error)
6587 __Pyx_CppExn2PyErr();
6588 __PYX_ERR(0, 596, __pyx_L4_error)
6590 __pyx_v_self->instance = __pyx_t_6;
6609 __pyx_t_1 = PyString_Check(__pyx_v_other);
6610 __pyx_t_2 = (__pyx_t_1 != 0);
6611 if (likely(__pyx_t_2)) {
6621 __Pyx_PyThreadState_declare
6622 __Pyx_PyThreadState_assign
6623 __Pyx_ExceptionSave(&__pyx_t_10, &__pyx_t_11, &__pyx_t_12);
6624 __Pyx_XGOTREF(__pyx_t_10);
6625 __Pyx_XGOTREF(__pyx_t_11);
6626 __Pyx_XGOTREF(__pyx_t_12);
6636 __pyx_t_13 = __Pyx_PyObject_AsWritableString(__pyx_v_other);
if (unlikely((!__pyx_t_13) && PyErr_Occurred())) __PYX_ERR(0, 599, __pyx_L11_error)
6638 __pyx_t_6 =
new Clifford(((
char *)__pyx_t_13));
6640 __Pyx_CppExn2PyErr();
6641 __PYX_ERR(0, 599, __pyx_L11_error)
6643 __pyx_v_self->instance = __pyx_t_6;
6653 __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
6654 __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
6655 __Pyx_XDECREF(__pyx_t_12); __pyx_t_12 = 0;
6656 goto __pyx_L16_try_end;
6658 __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
6659 __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
6668 __pyx_t_14 = __Pyx_PyErr_ExceptionMatches(__pyx_builtin_RuntimeError);
6670 __Pyx_AddTraceback(
"PyClical.clifford.__cinit__", __pyx_clineno, __pyx_lineno, __pyx_filename);
6671 if (__Pyx_GetException(&__pyx_t_8, &__pyx_t_7, &__pyx_t_15) < 0) __PYX_ERR(0, 600, __pyx_L13_except_error)
6672 __Pyx_GOTREF(__pyx_t_8);
6673 __Pyx_GOTREF(__pyx_t_7);
6674 __Pyx_GOTREF(__pyx_t_15);
6683 __pyx_t_16 = PyNumber_Add(__pyx_v_error_msg_prefix, __pyx_kp_s_invalid_string);
if (unlikely(!__pyx_t_16)) __PYX_ERR(0, 601, __pyx_L13_except_error)
6684 __Pyx_GOTREF(__pyx_t_16);
6685 __pyx_t_17 = PyObject_Repr(__pyx_v_other);
if (unlikely(!__pyx_t_17)) __PYX_ERR(0, 601, __pyx_L13_except_error)
6686 __Pyx_GOTREF(__pyx_t_17);
6687 __pyx_t_18 = PyNumber_Add(__pyx_t_16, __pyx_t_17);
if (unlikely(!__pyx_t_18)) __PYX_ERR(0, 601, __pyx_L13_except_error)
6688 __Pyx_GOTREF(__pyx_t_18);
6689 __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
6690 __Pyx_DECREF(__pyx_t_17); __pyx_t_17 = 0;
6691 __pyx_t_17 = PyNumber_Add(__pyx_t_18, __pyx_kp_s_);
if (unlikely(!__pyx_t_17)) __PYX_ERR(0, 601, __pyx_L13_except_error)
6692 __Pyx_GOTREF(__pyx_t_17);
6693 __Pyx_DECREF(__pyx_t_18); __pyx_t_18 = 0;
6694 __pyx_t_18 = __Pyx_PyObject_CallOneArg(__pyx_builtin_ValueError, __pyx_t_17);
if (unlikely(!__pyx_t_18)) __PYX_ERR(0, 601, __pyx_L13_except_error)
6695 __Pyx_GOTREF(__pyx_t_18);
6696 __Pyx_DECREF(__pyx_t_17); __pyx_t_17 = 0;
6697 __Pyx_Raise(__pyx_t_18, 0, 0, 0);
6698 __Pyx_DECREF(__pyx_t_18); __pyx_t_18 = 0;
6699 __PYX_ERR(0, 601, __pyx_L13_except_error)
6701 goto __pyx_L13_except_error;
6702 __pyx_L13_except_error:;
6711 __Pyx_XGIVEREF(__pyx_t_10);
6712 __Pyx_XGIVEREF(__pyx_t_11);
6713 __Pyx_XGIVEREF(__pyx_t_12);
6714 __Pyx_ExceptionReset(__pyx_t_10, __pyx_t_11, __pyx_t_12);
6715 goto __pyx_L4_error;
6737 __pyx_t_15 = PyNumber_Add(__pyx_v_error_msg_prefix, __pyx_kp_s__2);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 603, __pyx_L4_error)
6738 __Pyx_GOTREF(__pyx_t_15);
6739 __pyx_t_7 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), ((PyObject *)Py_TYPE(__pyx_v_other)));
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 603, __pyx_L4_error)
6740 __Pyx_GOTREF(__pyx_t_7);
6741 __pyx_t_8 = PyNumber_Add(__pyx_t_15, __pyx_t_7);
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 603, __pyx_L4_error)
6742 __Pyx_GOTREF(__pyx_t_8);
6743 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
6744 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
6745 __pyx_t_7 = PyNumber_Add(__pyx_t_8, __pyx_kp_s_);
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 603, __pyx_L4_error)
6746 __Pyx_GOTREF(__pyx_t_7);
6747 __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
6748 __pyx_t_8 = __Pyx_PyObject_CallOneArg(__pyx_builtin_TypeError, __pyx_t_7);
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 603, __pyx_L4_error)
6749 __Pyx_GOTREF(__pyx_t_8);
6750 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
6751 __Pyx_Raise(__pyx_t_8, 0, 0, 0);
6752 __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
6753 __PYX_ERR(0, 603, __pyx_L4_error)
6765 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
6766 __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
6767 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
6768 goto __pyx_L9_try_end;
6770 __Pyx_XDECREF(__pyx_t_15); __pyx_t_15 = 0;
6771 __Pyx_XDECREF(__pyx_t_16); __pyx_t_16 = 0;
6772 __Pyx_XDECREF(__pyx_t_17); __pyx_t_17 = 0;
6773 __Pyx_XDECREF(__pyx_t_18); __pyx_t_18 = 0;
6774 __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
6775 __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
6784 __pyx_t_14 = __Pyx_PyErr_ExceptionMatches(__pyx_builtin_RuntimeError);
6786 __Pyx_AddTraceback(
"PyClical.clifford.__cinit__", __pyx_clineno, __pyx_lineno, __pyx_filename);
6787 if (__Pyx_GetException(&__pyx_t_8, &__pyx_t_7, &__pyx_t_15) < 0) __PYX_ERR(0, 604, __pyx_L6_except_error)
6788 __Pyx_GOTREF(__pyx_t_8);
6789 __Pyx_GOTREF(__pyx_t_7);
6790 __Pyx_GOTREF(__pyx_t_15);
6791 __Pyx_INCREF(__pyx_t_7);
6792 __pyx_v_err = __pyx_t_7;
6801 __pyx_t_18 = PyNumber_Add(__pyx_v_error_msg_prefix, __pyx_kp_s__2);
if (unlikely(!__pyx_t_18)) __PYX_ERR(0, 605, __pyx_L6_except_error)
6802 __Pyx_GOTREF(__pyx_t_18);
6803 __pyx_t_17 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), ((PyObject *)Py_TYPE(__pyx_v_other)));
if (unlikely(!__pyx_t_17)) __PYX_ERR(0, 605, __pyx_L6_except_error)
6804 __Pyx_GOTREF(__pyx_t_17);
6805 __pyx_t_16 = PyNumber_Add(__pyx_t_18, __pyx_t_17);
if (unlikely(!__pyx_t_16)) __PYX_ERR(0, 605, __pyx_L6_except_error)
6806 __Pyx_GOTREF(__pyx_t_16);
6807 __Pyx_DECREF(__pyx_t_18); __pyx_t_18 = 0;
6808 __Pyx_DECREF(__pyx_t_17); __pyx_t_17 = 0;
6817 __pyx_t_17 = PyNumber_Add(__pyx_t_16, __pyx_kp_s_value);
if (unlikely(!__pyx_t_17)) __PYX_ERR(0, 606, __pyx_L6_except_error)
6818 __Pyx_GOTREF(__pyx_t_17);
6819 __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
6820 __pyx_t_16 = PyObject_Repr(__pyx_v_other);
if (unlikely(!__pyx_t_16)) __PYX_ERR(0, 606, __pyx_L6_except_error)
6821 __Pyx_GOTREF(__pyx_t_16);
6822 __pyx_t_18 = PyNumber_Add(__pyx_t_17, __pyx_t_16);
if (unlikely(!__pyx_t_18)) __PYX_ERR(0, 606, __pyx_L6_except_error)
6823 __Pyx_GOTREF(__pyx_t_18);
6824 __Pyx_DECREF(__pyx_t_17); __pyx_t_17 = 0;
6825 __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
6826 __pyx_t_16 = PyNumber_Add(__pyx_t_18, __pyx_kp_s__5);
if (unlikely(!__pyx_t_16)) __PYX_ERR(0, 606, __pyx_L6_except_error)
6827 __Pyx_GOTREF(__pyx_t_16);
6828 __Pyx_DECREF(__pyx_t_18); __pyx_t_18 = 0;
6837 __pyx_t_18 = PyNumber_Add(__pyx_t_16, __pyx_kp_s__6);
if (unlikely(!__pyx_t_18)) __PYX_ERR(0, 607, __pyx_L6_except_error)
6838 __Pyx_GOTREF(__pyx_t_18);
6839 __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
6840 __pyx_t_16 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), __pyx_v_err);
if (unlikely(!__pyx_t_16)) __PYX_ERR(0, 607, __pyx_L6_except_error)
6841 __Pyx_GOTREF(__pyx_t_16);
6842 __pyx_t_17 = PyNumber_Add(__pyx_t_18, __pyx_t_16);
if (unlikely(!__pyx_t_17)) __PYX_ERR(0, 607, __pyx_L6_except_error)
6843 __Pyx_GOTREF(__pyx_t_17);
6844 __Pyx_DECREF(__pyx_t_18); __pyx_t_18 = 0;
6845 __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
6854 __pyx_t_16 = __Pyx_PyObject_CallOneArg(__pyx_builtin_ValueError, __pyx_t_17);
if (unlikely(!__pyx_t_16)) __PYX_ERR(0, 605, __pyx_L6_except_error)
6855 __Pyx_GOTREF(__pyx_t_16);
6856 __Pyx_DECREF(__pyx_t_17); __pyx_t_17 = 0;
6857 __Pyx_Raise(__pyx_t_16, 0, 0, 0);
6858 __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
6859 __PYX_ERR(0, 605, __pyx_L6_except_error)
6861 goto __pyx_L6_except_error;
6862 __pyx_L6_except_error:;
6871 __Pyx_XGIVEREF(__pyx_t_3);
6872 __Pyx_XGIVEREF(__pyx_t_4);
6873 __Pyx_XGIVEREF(__pyx_t_5);
6874 __Pyx_ExceptionReset(__pyx_t_3, __pyx_t_4, __pyx_t_5);
6875 goto __pyx_L1_error;
6896 __pyx_t_2 = __Pyx_TypeCheck(__pyx_v_ixt, __pyx_ptype_8PyClical_index_set);
6897 __pyx_t_1 = (__pyx_t_2 != 0);
6898 if (likely(__pyx_t_1)) {
6907 __Pyx_GetModuleGlobalName(__pyx_t_15, __pyx_n_s_numbers);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 609, __pyx_L1_error)
6908 __Pyx_GOTREF(__pyx_t_15);
6909 __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_t_15, __pyx_n_s_Real);
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 609, __pyx_L1_error)
6910 __Pyx_GOTREF(__pyx_t_7);
6911 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
6912 __pyx_t_1 = PyObject_IsInstance(__pyx_v_other, __pyx_t_7);
if (unlikely(__pyx_t_1 == ((
int)-1))) __PYX_ERR(0, 609, __pyx_L1_error)
6913 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
6914 __pyx_t_2 = (__pyx_t_1 != 0);
6924 __pyx_t_9 = __pyx_PyFloat_AsDouble(__pyx_v_other);
if (unlikely((__pyx_t_9 == ((
scalar_t)-1)) && PyErr_Occurred())) __PYX_ERR(0, 610, __pyx_L1_error)
6926 __pyx_t_6 =
new Clifford(__pyx_f_8PyClical_9index_set_unwrap(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_ixt)), ((
scalar_t)__pyx_t_9));
6928 __Pyx_CppExn2PyErr();
6929 __PYX_ERR(0, 610, __pyx_L1_error)
6931 __pyx_v_self->instance = __pyx_t_6;
6950 __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_n_s_collections);
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 611, __pyx_L1_error)
6951 __Pyx_GOTREF(__pyx_t_7);
6952 __pyx_t_15 = __Pyx_PyObject_GetAttrStr(__pyx_t_7, __pyx_n_s_Sequence);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 611, __pyx_L1_error)
6953 __Pyx_GOTREF(__pyx_t_15);
6954 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
6955 __pyx_t_2 = PyObject_IsInstance(__pyx_v_other, __pyx_t_15);
if (unlikely(__pyx_t_2 == ((
int)-1))) __PYX_ERR(0, 611, __pyx_L1_error)
6956 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
6957 __pyx_t_1 = (__pyx_t_2 != 0);
6958 if (likely(__pyx_t_1)) {
6968 __pyx_t_6 =
new Clifford(__pyx_f_8PyClical_list_to_vector(__pyx_v_other), __pyx_f_8PyClical_9index_set_unwrap(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_ixt)));
6970 __Pyx_CppExn2PyErr();
6971 __PYX_ERR(0, 612, __pyx_L1_error)
6973 __pyx_v_self->instance = __pyx_t_6;
6993 __pyx_t_15 = PyNumber_Add(__pyx_v_error_msg_prefix, __pyx_kp_s__7);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 614, __pyx_L1_error)
6994 __Pyx_GOTREF(__pyx_t_15);
6995 __pyx_t_7 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), ((PyObject *)Py_TYPE(__pyx_v_other)));
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 614, __pyx_L1_error)
6996 __Pyx_GOTREF(__pyx_t_7);
6997 __pyx_t_8 = PyNumber_Add(__pyx_t_15, __pyx_t_7);
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 614, __pyx_L1_error)
6998 __Pyx_GOTREF(__pyx_t_8);
6999 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
7000 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
7009 __pyx_t_7 = PyNumber_Add(__pyx_t_8, __pyx_kp_s__8);
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 615, __pyx_L1_error)
7010 __Pyx_GOTREF(__pyx_t_7);
7011 __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
7012 __pyx_t_8 = PyObject_Repr(__pyx_v_ixt);
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 615, __pyx_L1_error)
7013 __Pyx_GOTREF(__pyx_t_8);
7014 __pyx_t_15 = PyNumber_Add(__pyx_t_7, __pyx_t_8);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 615, __pyx_L1_error)
7015 __Pyx_GOTREF(__pyx_t_15);
7016 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
7017 __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
7018 __pyx_t_8 = PyNumber_Add(__pyx_t_15, __pyx_kp_s__9);
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 615, __pyx_L1_error)
7019 __Pyx_GOTREF(__pyx_t_8);
7020 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
7029 __pyx_t_15 = __Pyx_PyObject_CallOneArg(__pyx_builtin_TypeError, __pyx_t_8);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 614, __pyx_L1_error)
7030 __Pyx_GOTREF(__pyx_t_15);
7031 __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
7032 __Pyx_Raise(__pyx_t_15, 0, 0, 0);
7033 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
7034 __PYX_ERR(0, 614, __pyx_L1_error)
7056 __pyx_t_15 = PyNumber_Add(__pyx_v_error_msg_prefix, __pyx_kp_s__7);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 617, __pyx_L1_error)
7057 __Pyx_GOTREF(__pyx_t_15);
7058 __pyx_t_8 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), ((PyObject *)Py_TYPE(__pyx_v_other)));
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 617, __pyx_L1_error)
7059 __Pyx_GOTREF(__pyx_t_8);
7060 __pyx_t_7 = PyNumber_Add(__pyx_t_15, __pyx_t_8);
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 617, __pyx_L1_error)
7061 __Pyx_GOTREF(__pyx_t_7);
7062 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
7063 __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
7072 __pyx_t_8 = PyNumber_Add(__pyx_t_7, __pyx_kp_s__8);
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 618, __pyx_L1_error)
7073 __Pyx_GOTREF(__pyx_t_8);
7074 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
7075 __pyx_t_7 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), ((PyObject *)Py_TYPE(__pyx_v_ixt)));
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 618, __pyx_L1_error)
7076 __Pyx_GOTREF(__pyx_t_7);
7077 __pyx_t_15 = PyNumber_Add(__pyx_t_8, __pyx_t_7);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 618, __pyx_L1_error)
7078 __Pyx_GOTREF(__pyx_t_15);
7079 __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
7080 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
7081 __pyx_t_7 = PyNumber_Add(__pyx_t_15, __pyx_kp_s__9);
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 618, __pyx_L1_error)
7082 __Pyx_GOTREF(__pyx_t_7);
7083 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
7092 __pyx_t_15 = __Pyx_PyObject_CallOneArg(__pyx_builtin_TypeError, __pyx_t_7);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 617, __pyx_L1_error)
7093 __Pyx_GOTREF(__pyx_t_15);
7094 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
7095 __Pyx_Raise(__pyx_t_15, 0, 0, 0);
7096 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
7097 __PYX_ERR(0, 617, __pyx_L1_error)
7113 __Pyx_XDECREF(__pyx_t_7);
7114 __Pyx_XDECREF(__pyx_t_8);
7115 __Pyx_XDECREF(__pyx_t_15);
7116 __Pyx_XDECREF(__pyx_t_16);
7117 __Pyx_XDECREF(__pyx_t_17);
7118 __Pyx_XDECREF(__pyx_t_18);
7119 __Pyx_AddTraceback(
"PyClical.clifford.__cinit__", __pyx_clineno, __pyx_lineno, __pyx_filename);
7122 __Pyx_XDECREF(__pyx_v_error_msg_prefix);
7123 __Pyx_XDECREF(__pyx_v_err);
7124 __Pyx_RefNannyFinishContext();
7137 static void __pyx_pw_8PyClical_8clifford_5__dealloc__(PyObject *__pyx_v_self);
7138 static void __pyx_pw_8PyClical_8clifford_5__dealloc__(PyObject *__pyx_v_self) {
7139 __Pyx_RefNannyDeclarations
7140 __Pyx_RefNannySetupContext(
"__dealloc__ (wrapper)", 0);
7141 __pyx_pf_8PyClical_8clifford_4__dealloc__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
7144 __Pyx_RefNannyFinishContext();
7147 static void __pyx_pf_8PyClical_8clifford_4__dealloc__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
7148 __Pyx_RefNannyDeclarations
7149 __Pyx_RefNannySetupContext(
"__dealloc__", 0);
7158 delete __pyx_v_self->instance;
7169 __Pyx_RefNannyFinishContext();
7181 static int __pyx_pw_8PyClical_8clifford_7__contains__(PyObject *__pyx_v_self, PyObject *__pyx_v_x);
7182 static char __pyx_doc_8PyClical_8clifford_6__contains__[] =
"\n Not applicable.\n\n >>> x=clifford(index_set({-3,4,7})); -3 in x\n Traceback (most recent call last):\n ...\n TypeError: Not applicable.\n ";
7183 #if CYTHON_COMPILING_IN_CPYTHON 7184 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_6__contains__;
7186 static int __pyx_pw_8PyClical_8clifford_7__contains__(PyObject *__pyx_v_self, PyObject *__pyx_v_x) {
7188 __Pyx_RefNannyDeclarations
7189 __Pyx_RefNannySetupContext(
"__contains__ (wrapper)", 0);
7190 __pyx_r = __pyx_pf_8PyClical_8clifford_6__contains__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_x));
7193 __Pyx_RefNannyFinishContext();
7197 static int __pyx_pf_8PyClical_8clifford_6__contains__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_x) {
7199 __Pyx_RefNannyDeclarations
7200 PyObject *__pyx_t_1 = NULL;
7201 __Pyx_RefNannySetupContext(
"__contains__", 0);
7210 __pyx_t_1 = __Pyx_PyObject_Call(__pyx_builtin_TypeError, __pyx_tuple__10, NULL);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 635, __pyx_L1_error)
7211 __Pyx_GOTREF(__pyx_t_1);
7212 __Pyx_Raise(__pyx_t_1, 0, 0, 0);
7213 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
7214 __PYX_ERR(0, 635, __pyx_L1_error)
7226 __Pyx_XDECREF(__pyx_t_1);
7227 __Pyx_AddTraceback(
"PyClical.clifford.__contains__", __pyx_clineno, __pyx_lineno, __pyx_filename);
7229 __Pyx_RefNannyFinishContext();
7242 static PyObject *__pyx_pw_8PyClical_8clifford_9__iter__(PyObject *__pyx_v_self);
7243 static char __pyx_doc_8PyClical_8clifford_8__iter__[] =
"\n Not applicable.\n\n >>> for a in clifford(index_set({-3,4,7})): print a,\n Traceback (most recent call last):\n ...\n TypeError: Not applicable.\n ";
7244 #if CYTHON_COMPILING_IN_CPYTHON 7245 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_8__iter__;
7247 static PyObject *__pyx_pw_8PyClical_8clifford_9__iter__(PyObject *__pyx_v_self) {
7248 PyObject *__pyx_r = 0;
7249 __Pyx_RefNannyDeclarations
7250 __Pyx_RefNannySetupContext(
"__iter__ (wrapper)", 0);
7251 __pyx_r = __pyx_pf_8PyClical_8clifford_8__iter__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
7254 __Pyx_RefNannyFinishContext();
7258 static PyObject *__pyx_pf_8PyClical_8clifford_8__iter__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
7259 PyObject *__pyx_r = NULL;
7260 __Pyx_RefNannyDeclarations
7261 PyObject *__pyx_t_1 = NULL;
7262 __Pyx_RefNannySetupContext(
"__iter__", 0);
7271 __pyx_t_1 = __Pyx_PyObject_Call(__pyx_builtin_TypeError, __pyx_tuple__10, NULL);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 646, __pyx_L1_error)
7272 __Pyx_GOTREF(__pyx_t_1);
7273 __Pyx_Raise(__pyx_t_1, 0, 0, 0);
7274 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
7275 __PYX_ERR(0, 646, __pyx_L1_error)
7287 __Pyx_XDECREF(__pyx_t_1);
7288 __Pyx_AddTraceback(
"PyClical.clifford.__iter__", __pyx_clineno, __pyx_lineno, __pyx_filename);
7290 __Pyx_XGIVEREF(__pyx_r);
7291 __Pyx_RefNannyFinishContext();
7304 static PyObject *__pyx_pw_8PyClical_8clifford_11reframe(PyObject *__pyx_v_self, PyObject *__pyx_v_ixt);
7305 static char __pyx_doc_8PyClical_8clifford_10reframe[] =
"\n Put self into a larger frame, containing the union of self.frame() and index set ixt.\n This can be used to make multiplication faster, by multiplying within a common frame.\n\n >>> clifford(\"2+3{1}\").reframe(index_set({1,2,3}))\n clifford(\"2+3{1}\")\n >>> s=index_set({1,2,3});t=index_set({-3,-2,-1});x=random_clifford(s); x.reframe(t).frame() == (s|t);\n True\n ";
7306 static PyObject *__pyx_pw_8PyClical_8clifford_11reframe(PyObject *__pyx_v_self, PyObject *__pyx_v_ixt) {
7307 PyObject *__pyx_r = 0;
7308 __Pyx_RefNannyDeclarations
7309 __Pyx_RefNannySetupContext(
"reframe (wrapper)", 0);
7310 __pyx_r = __pyx_pf_8PyClical_8clifford_10reframe(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_ixt));
7313 __Pyx_RefNannyFinishContext();
7317 static PyObject *__pyx_pf_8PyClical_8clifford_10reframe(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_ixt) {
7318 PyObject *__pyx_v_error_msg_prefix = NULL;
7319 struct __pyx_obj_8PyClical_clifford *__pyx_v_result = NULL;
7320 PyObject *__pyx_v_err = NULL;
7321 PyObject *__pyx_r = NULL;
7322 __Pyx_RefNannyDeclarations
7325 PyObject *__pyx_t_3 = NULL;
7326 PyObject *__pyx_t_4 = NULL;
7327 PyObject *__pyx_t_5 = NULL;
7328 PyObject *__pyx_t_6 = NULL;
7331 PyObject *__pyx_t_9 = NULL;
7332 PyObject *__pyx_t_10 = NULL;
7333 PyObject *__pyx_t_11 = NULL;
7334 PyObject *__pyx_t_12 = NULL;
7335 PyObject *__pyx_t_13 = NULL;
7336 __Pyx_RefNannySetupContext(
"reframe", 0);
7345 __Pyx_INCREF(__pyx_kp_s_Cannot_reframe);
7346 __pyx_v_error_msg_prefix = __pyx_kp_s_Cannot_reframe;
7355 __pyx_t_1 = __Pyx_TypeCheck(__pyx_v_ixt, __pyx_ptype_8PyClical_index_set);
7356 __pyx_t_2 = (__pyx_t_1 != 0);
7357 if (likely(__pyx_t_2)) {
7367 __Pyx_PyThreadState_declare
7368 __Pyx_PyThreadState_assign
7369 __Pyx_ExceptionSave(&__pyx_t_3, &__pyx_t_4, &__pyx_t_5);
7370 __Pyx_XGOTREF(__pyx_t_3);
7371 __Pyx_XGOTREF(__pyx_t_4);
7372 __Pyx_XGOTREF(__pyx_t_5);
7382 __pyx_t_6 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 661, __pyx_L4_error)
7383 __Pyx_GOTREF(__pyx_t_6);
7384 __pyx_v_result = ((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_6);
7395 __pyx_t_7 =
new Clifford(__pyx_f_8PyClical_8clifford_unwrap(__pyx_v_self), __pyx_f_8PyClical_9index_set_unwrap(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_ixt)));
7397 __Pyx_CppExn2PyErr();
7398 __PYX_ERR(0, 662, __pyx_L4_error)
7400 __pyx_v_result->instance = __pyx_t_7;
7410 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
7411 __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
7412 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
7413 goto __pyx_L9_try_end;
7415 __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
7424 __pyx_t_8 = __Pyx_PyErr_ExceptionMatches(__pyx_builtin_RuntimeError);
7426 __Pyx_AddTraceback(
"PyClical.clifford.reframe", __pyx_clineno, __pyx_lineno, __pyx_filename);
7427 if (__Pyx_GetException(&__pyx_t_6, &__pyx_t_9, &__pyx_t_10) < 0) __PYX_ERR(0, 663, __pyx_L6_except_error)
7428 __Pyx_GOTREF(__pyx_t_6);
7429 __Pyx_GOTREF(__pyx_t_9);
7430 __Pyx_GOTREF(__pyx_t_10);
7431 __Pyx_INCREF(__pyx_t_9);
7432 __pyx_v_err = __pyx_t_9;
7441 __pyx_t_11 = PyNumber_Add(__pyx_v_error_msg_prefix, __pyx_kp_s_from);
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 664, __pyx_L6_except_error)
7442 __Pyx_GOTREF(__pyx_t_11);
7443 __pyx_t_12 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), ((PyObject *)__pyx_v_self));
if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 664, __pyx_L6_except_error)
7444 __Pyx_GOTREF(__pyx_t_12);
7445 __pyx_t_13 = PyNumber_Add(__pyx_t_11, __pyx_t_12);
if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 664, __pyx_L6_except_error)
7446 __Pyx_GOTREF(__pyx_t_13);
7447 __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
7448 __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
7449 __pyx_t_12 = PyNumber_Add(__pyx_t_13, __pyx_kp_s_to_frame);
if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 664, __pyx_L6_except_error)
7450 __Pyx_GOTREF(__pyx_t_12);
7451 __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
7460 __pyx_t_13 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), __pyx_v_ixt);
if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 665, __pyx_L6_except_error)
7461 __Pyx_GOTREF(__pyx_t_13);
7462 __pyx_t_11 = PyNumber_Add(__pyx_t_12, __pyx_t_13);
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 665, __pyx_L6_except_error)
7463 __Pyx_GOTREF(__pyx_t_11);
7464 __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
7465 __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
7466 __pyx_t_13 = PyNumber_Add(__pyx_t_11, __pyx_kp_s__5);
if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 665, __pyx_L6_except_error)
7467 __Pyx_GOTREF(__pyx_t_13);
7468 __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
7477 __pyx_t_11 = PyNumber_Add(__pyx_t_13, __pyx_kp_s__6);
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 666, __pyx_L6_except_error)
7478 __Pyx_GOTREF(__pyx_t_11);
7479 __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
7480 __pyx_t_13 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), __pyx_v_err);
if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 666, __pyx_L6_except_error)
7481 __Pyx_GOTREF(__pyx_t_13);
7482 __pyx_t_12 = PyNumber_Add(__pyx_t_11, __pyx_t_13);
if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 666, __pyx_L6_except_error)
7483 __Pyx_GOTREF(__pyx_t_12);
7484 __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
7485 __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
7494 __pyx_t_13 = __Pyx_PyObject_CallOneArg(__pyx_builtin_ValueError, __pyx_t_12);
if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 664, __pyx_L6_except_error)
7495 __Pyx_GOTREF(__pyx_t_13);
7496 __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
7497 __Pyx_Raise(__pyx_t_13, 0, 0, 0);
7498 __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
7499 __PYX_ERR(0, 664, __pyx_L6_except_error)
7501 goto __pyx_L6_except_error;
7502 __pyx_L6_except_error:;
7511 __Pyx_XGIVEREF(__pyx_t_3);
7512 __Pyx_XGIVEREF(__pyx_t_4);
7513 __Pyx_XGIVEREF(__pyx_t_5);
7514 __Pyx_ExceptionReset(__pyx_t_3, __pyx_t_4, __pyx_t_5);
7515 goto __pyx_L1_error;
7537 __pyx_t_10 = PyNumber_Add(__pyx_v_error_msg_prefix, __pyx_kp_s_using);
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 668, __pyx_L1_error)
7538 __Pyx_GOTREF(__pyx_t_10);
7539 __pyx_t_9 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), ((PyObject *)Py_TYPE(__pyx_v_ixt)));
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 668, __pyx_L1_error)
7540 __Pyx_GOTREF(__pyx_t_9);
7541 __pyx_t_6 = PyNumber_Add(__pyx_t_10, __pyx_t_9);
if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 668, __pyx_L1_error)
7542 __Pyx_GOTREF(__pyx_t_6);
7543 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
7544 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
7545 __pyx_t_9 = PyNumber_Add(__pyx_t_6, __pyx_kp_s__9);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 668, __pyx_L1_error)
7546 __Pyx_GOTREF(__pyx_t_9);
7547 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
7548 __pyx_t_6 = __Pyx_PyObject_CallOneArg(__pyx_builtin_TypeError, __pyx_t_9);
if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 668, __pyx_L1_error)
7549 __Pyx_GOTREF(__pyx_t_6);
7550 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
7551 __Pyx_Raise(__pyx_t_6, 0, 0, 0);
7552 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
7553 __PYX_ERR(0, 668, __pyx_L1_error)
7564 __Pyx_XDECREF(__pyx_r);
7565 __Pyx_INCREF(((PyObject *)__pyx_v_result));
7566 __pyx_r = ((PyObject *)__pyx_v_result);
7579 __Pyx_XDECREF(__pyx_t_6);
7580 __Pyx_XDECREF(__pyx_t_9);
7581 __Pyx_XDECREF(__pyx_t_10);
7582 __Pyx_XDECREF(__pyx_t_11);
7583 __Pyx_XDECREF(__pyx_t_12);
7584 __Pyx_XDECREF(__pyx_t_13);
7585 __Pyx_AddTraceback(
"PyClical.clifford.reframe", __pyx_clineno, __pyx_lineno, __pyx_filename);
7588 __Pyx_XDECREF(__pyx_v_error_msg_prefix);
7589 __Pyx_XDECREF((PyObject *)__pyx_v_result);
7590 __Pyx_XDECREF(__pyx_v_err);
7591 __Pyx_XGIVEREF(__pyx_r);
7592 __Pyx_RefNannyFinishContext();
7605 static PyObject *__pyx_pw_8PyClical_8clifford_13__richcmp__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs,
int __pyx_v_op);
7606 static PyObject *__pyx_pw_8PyClical_8clifford_13__richcmp__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs,
int __pyx_v_op) {
7607 PyObject *__pyx_r = 0;
7608 __Pyx_RefNannyDeclarations
7609 __Pyx_RefNannySetupContext(
"__richcmp__ (wrapper)", 0);
7610 __pyx_r = __pyx_pf_8PyClical_8clifford_12__richcmp__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs), ((
int)__pyx_v_op));
7613 __Pyx_RefNannyFinishContext();
7617 static PyObject *__pyx_pf_8PyClical_8clifford_12__richcmp__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_lhs, PyObject *__pyx_v_rhs,
int __pyx_v_op) {
7618 PyObject *__pyx_r = NULL;
7619 __Pyx_RefNannyDeclarations
7623 PyObject *__pyx_t_4 = NULL;
7624 PyObject *__pyx_t_5 = NULL;
7625 PyObject *__pyx_t_6 = NULL;
7626 __Pyx_RefNannySetupContext(
"__richcmp__", 0);
7635 __pyx_t_1 = ((__pyx_v_op == 2) != 0);
7645 __pyx_t_2 = (((PyObject *)__pyx_v_lhs) == Py_None);
7646 __pyx_t_3 = (__pyx_t_2 != 0);
7649 __pyx_t_1 = __pyx_t_3;
7650 goto __pyx_L5_bool_binop_done;
7652 __pyx_t_3 = (__pyx_v_rhs == Py_None);
7653 __pyx_t_2 = (__pyx_t_3 != 0);
7654 __pyx_t_1 = __pyx_t_2;
7655 __pyx_L5_bool_binop_done:;
7665 __Pyx_XDECREF(__pyx_r);
7666 __pyx_t_1 = (((PyObject *)__pyx_v_lhs) == __pyx_v_rhs);
7667 __pyx_t_4 = __Pyx_PyBool_FromLong((!(!__pyx_t_1)));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 692, __pyx_L1_error)
7668 __Pyx_GOTREF(__pyx_t_4);
7669 __pyx_r = __pyx_t_4;
7690 __Pyx_XDECREF(__pyx_r);
7691 __pyx_t_1 = (__pyx_f_8PyClical_toClifford(((PyObject *)__pyx_v_lhs)) == __pyx_f_8PyClical_toClifford(__pyx_v_rhs));
7692 __pyx_t_4 = __Pyx_PyBool_FromLong((!(!__pyx_t_1)));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 694, __pyx_L1_error)
7693 __Pyx_GOTREF(__pyx_t_4);
7694 __pyx_r = __pyx_t_4;
7715 __pyx_t_1 = ((__pyx_v_op == 3) != 0);
7725 __pyx_t_2 = (((PyObject *)__pyx_v_lhs) == Py_None);
7726 __pyx_t_3 = (__pyx_t_2 != 0);
7729 __pyx_t_1 = __pyx_t_3;
7730 goto __pyx_L8_bool_binop_done;
7732 __pyx_t_3 = (__pyx_v_rhs == Py_None);
7733 __pyx_t_2 = (__pyx_t_3 != 0);
7734 __pyx_t_1 = __pyx_t_2;
7735 __pyx_L8_bool_binop_done:;
7745 __Pyx_XDECREF(__pyx_r);
7746 __pyx_t_1 = (((PyObject *)__pyx_v_lhs) == __pyx_v_rhs);
7747 __pyx_t_4 = __Pyx_PyBool_FromLong((!((!(!__pyx_t_1)) != 0)));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 697, __pyx_L1_error)
7748 __Pyx_GOTREF(__pyx_t_4);
7749 __pyx_r = __pyx_t_4;
7770 __Pyx_XDECREF(__pyx_r);
7771 __pyx_t_1 = (__pyx_f_8PyClical_toClifford(((PyObject *)__pyx_v_lhs)) != __pyx_f_8PyClical_toClifford(__pyx_v_rhs));
7772 __pyx_t_4 = __Pyx_PyBool_FromLong((!(!__pyx_t_1)));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 699, __pyx_L1_error)
7773 __Pyx_GOTREF(__pyx_t_4);
7774 __pyx_r = __pyx_t_4;
7795 __pyx_t_2 = __Pyx_TypeCheck(((PyObject *)__pyx_v_lhs), __pyx_ptype_8PyClical_clifford);
7796 __pyx_t_3 = (__pyx_t_2 != 0);
7799 __pyx_t_1 = __pyx_t_3;
7800 goto __pyx_L10_bool_binop_done;
7802 __pyx_t_3 = __Pyx_TypeCheck(__pyx_v_rhs, __pyx_ptype_8PyClical_clifford);
7803 __pyx_t_2 = (__pyx_t_3 != 0);
7804 __pyx_t_1 = __pyx_t_2;
7805 __pyx_L10_bool_binop_done:;
7806 if (unlikely(__pyx_t_1)) {
7815 __pyx_t_4 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), ((PyObject *)Py_TYPE(((PyObject *)__pyx_v_lhs))));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 702, __pyx_L1_error)
7816 __Pyx_GOTREF(__pyx_t_4);
7817 __pyx_t_5 = PyNumber_Add(__pyx_kp_s_This_comparison_operator_is_not, __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 702, __pyx_L1_error)
7818 __Pyx_GOTREF(__pyx_t_5);
7819 __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
7820 __pyx_t_4 = PyNumber_Add(__pyx_t_5, __pyx_kp_s__8);
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 702, __pyx_L1_error)
7821 __Pyx_GOTREF(__pyx_t_4);
7822 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
7823 __pyx_t_5 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), ((PyObject *)Py_TYPE(__pyx_v_rhs)));
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 702, __pyx_L1_error)
7824 __Pyx_GOTREF(__pyx_t_5);
7825 __pyx_t_6 = PyNumber_Add(__pyx_t_4, __pyx_t_5);
if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 702, __pyx_L1_error)
7826 __Pyx_GOTREF(__pyx_t_6);
7827 __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
7828 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
7829 __pyx_t_5 = PyNumber_Add(__pyx_t_6, __pyx_kp_s_);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 702, __pyx_L1_error)
7830 __Pyx_GOTREF(__pyx_t_5);
7831 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
7840 __pyx_t_6 = __Pyx_PyObject_CallOneArg(__pyx_builtin_TypeError, __pyx_t_5);
if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 701, __pyx_L1_error)
7841 __Pyx_GOTREF(__pyx_t_6);
7842 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
7843 __Pyx_Raise(__pyx_t_6, 0, 0, 0);
7844 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
7845 __PYX_ERR(0, 701, __pyx_L1_error)
7864 __Pyx_XDECREF(__pyx_r);
7865 __Pyx_INCREF(__pyx_builtin_NotImplemented);
7866 __pyx_r = __pyx_builtin_NotImplemented;
7880 __Pyx_XDECREF(__pyx_t_4);
7881 __Pyx_XDECREF(__pyx_t_5);
7882 __Pyx_XDECREF(__pyx_t_6);
7883 __Pyx_AddTraceback(
"PyClical.clifford.__richcmp__", __pyx_clineno, __pyx_lineno, __pyx_filename);
7886 __Pyx_XGIVEREF(__pyx_r);
7887 __Pyx_RefNannyFinishContext();
7900 static PyObject *__pyx_pw_8PyClical_8clifford_15__getitem__(PyObject *__pyx_v_self, PyObject *__pyx_v_ixt);
7901 static char __pyx_doc_8PyClical_8clifford_14__getitem__[] =
"\n Subscripting: map from index set to scalar coordinate.\n\n >>> clifford(\"{1}\")[index_set(1)]\n 1.0\n >>> clifford(\"{1}\")[index_set({1})]\n 1.0\n >>> clifford(\"{1}\")[index_set({1,2})]\n 0.0\n >>> clifford(\"2{1,2}\")[index_set({1,2})]\n 2.0\n ";
7902 #if CYTHON_COMPILING_IN_CPYTHON 7903 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_14__getitem__;
7905 static PyObject *__pyx_pw_8PyClical_8clifford_15__getitem__(PyObject *__pyx_v_self, PyObject *__pyx_v_ixt) {
7906 PyObject *__pyx_r = 0;
7907 __Pyx_RefNannyDeclarations
7908 __Pyx_RefNannySetupContext(
"__getitem__ (wrapper)", 0);
7909 __pyx_r = __pyx_pf_8PyClical_8clifford_14__getitem__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_ixt));
7912 __Pyx_RefNannyFinishContext();
7916 static PyObject *__pyx_pf_8PyClical_8clifford_14__getitem__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_ixt) {
7917 PyObject *__pyx_r = NULL;
7918 __Pyx_RefNannyDeclarations
7919 PyObject *__pyx_t_1 = NULL;
7920 __Pyx_RefNannySetupContext(
"__getitem__", 0);
7929 __Pyx_XDECREF(__pyx_r);
7930 __pyx_t_1 =
PyFloat_FromDouble(__pyx_v_self->instance->operator[](__pyx_f_8PyClical_toIndexSet(__pyx_v_ixt)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 719, __pyx_L1_error)
7931 __Pyx_GOTREF(__pyx_t_1);
7932 __pyx_r = __pyx_t_1;
7946 __Pyx_XDECREF(__pyx_t_1);
7947 __Pyx_AddTraceback(
"PyClical.clifford.__getitem__", __pyx_clineno, __pyx_lineno, __pyx_filename);
7950 __Pyx_XGIVEREF(__pyx_r);
7951 __Pyx_RefNannyFinishContext();
7964 static PyObject *__pyx_pw_8PyClical_8clifford_17__neg__(PyObject *__pyx_v_self);
7965 static char __pyx_doc_8PyClical_8clifford_16__neg__[] =
"\n Unary -.\n\n >>> print -clifford(\"{1}\")\n -{1}\n ";
7966 #if CYTHON_COMPILING_IN_CPYTHON 7967 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_16__neg__;
7969 static PyObject *__pyx_pw_8PyClical_8clifford_17__neg__(PyObject *__pyx_v_self) {
7970 PyObject *__pyx_r = 0;
7971 __Pyx_RefNannyDeclarations
7972 __Pyx_RefNannySetupContext(
"__neg__ (wrapper)", 0);
7973 __pyx_r = __pyx_pf_8PyClical_8clifford_16__neg__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
7976 __Pyx_RefNannyFinishContext();
7980 static PyObject *__pyx_pf_8PyClical_8clifford_16__neg__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
7981 PyObject *__pyx_r = NULL;
7982 __Pyx_RefNannyDeclarations
7983 PyObject *__pyx_t_1 = NULL;
7984 PyObject *__pyx_t_2 = NULL;
7985 __Pyx_RefNannySetupContext(
"__neg__", 0);
7994 __Pyx_XDECREF(__pyx_r);
7995 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 728, __pyx_L1_error)
7996 __Pyx_GOTREF(__pyx_t_1);
7997 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), __pyx_v_self->instance->operator-());
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 728, __pyx_L1_error)
7998 __Pyx_GOTREF(__pyx_t_2);
7999 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
8000 __pyx_r = __pyx_t_2;
8014 __Pyx_XDECREF(__pyx_t_1);
8015 __Pyx_XDECREF(__pyx_t_2);
8016 __Pyx_AddTraceback(
"PyClical.clifford.__neg__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8019 __Pyx_XGIVEREF(__pyx_r);
8020 __Pyx_RefNannyFinishContext();
8033 static PyObject *__pyx_pw_8PyClical_8clifford_19__pos__(PyObject *__pyx_v_self);
8034 static char __pyx_doc_8PyClical_8clifford_18__pos__[] =
"\n Unary +.\n\n >>> print +clifford(\"{1}\")\n {1}\n ";
8035 #if CYTHON_COMPILING_IN_CPYTHON 8036 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_18__pos__;
8038 static PyObject *__pyx_pw_8PyClical_8clifford_19__pos__(PyObject *__pyx_v_self) {
8039 PyObject *__pyx_r = 0;
8040 __Pyx_RefNannyDeclarations
8041 __Pyx_RefNannySetupContext(
"__pos__ (wrapper)", 0);
8042 __pyx_r = __pyx_pf_8PyClical_8clifford_18__pos__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
8045 __Pyx_RefNannyFinishContext();
8049 static PyObject *__pyx_pf_8PyClical_8clifford_18__pos__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
8050 PyObject *__pyx_r = NULL;
8051 __Pyx_RefNannyDeclarations
8052 PyObject *__pyx_t_1 = NULL;
8053 __Pyx_RefNannySetupContext(
"__pos__", 0);
8062 __Pyx_XDECREF(__pyx_r);
8063 __pyx_t_1 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), ((PyObject *)__pyx_v_self));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 737, __pyx_L1_error)
8064 __Pyx_GOTREF(__pyx_t_1);
8065 __pyx_r = __pyx_t_1;
8079 __Pyx_XDECREF(__pyx_t_1);
8080 __Pyx_AddTraceback(
"PyClical.clifford.__pos__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8083 __Pyx_XGIVEREF(__pyx_r);
8084 __Pyx_RefNannyFinishContext();
8097 static PyObject *__pyx_pw_8PyClical_8clifford_21__add__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
8098 static char __pyx_doc_8PyClical_8clifford_20__add__[] =
"\n Geometric sum.\n\n >>> print clifford(1) + clifford(\"{2}\")\n 1+{2}\n >>> print clifford(\"{1}\") + clifford(\"{2}\")\n {1}+{2}\n ";
8099 #if CYTHON_COMPILING_IN_CPYTHON 8100 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_20__add__;
8102 static PyObject *__pyx_pw_8PyClical_8clifford_21__add__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8103 PyObject *__pyx_r = 0;
8104 __Pyx_RefNannyDeclarations
8105 __Pyx_RefNannySetupContext(
"__add__ (wrapper)", 0);
8106 __pyx_r = __pyx_pf_8PyClical_8clifford_20__add__(((PyObject *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs));
8109 __Pyx_RefNannyFinishContext();
8113 static PyObject *__pyx_pf_8PyClical_8clifford_20__add__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8114 PyObject *__pyx_r = NULL;
8115 __Pyx_RefNannyDeclarations
8116 PyObject *__pyx_t_1 = NULL;
8117 PyObject *__pyx_t_2 = NULL;
8118 __Pyx_RefNannySetupContext(
"__add__", 0);
8127 __Pyx_XDECREF(__pyx_r);
8128 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 748, __pyx_L1_error)
8129 __Pyx_GOTREF(__pyx_t_1);
8130 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), (__pyx_f_8PyClical_toClifford(__pyx_v_lhs) + __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 748, __pyx_L1_error)
8131 __Pyx_GOTREF(__pyx_t_2);
8132 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
8133 __pyx_r = __pyx_t_2;
8147 __Pyx_XDECREF(__pyx_t_1);
8148 __Pyx_XDECREF(__pyx_t_2);
8149 __Pyx_AddTraceback(
"PyClical.clifford.__add__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8152 __Pyx_XGIVEREF(__pyx_r);
8153 __Pyx_RefNannyFinishContext();
8166 static PyObject *__pyx_pw_8PyClical_8clifford_23__iadd__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs);
8167 static char __pyx_doc_8PyClical_8clifford_22__iadd__[] =
"\n Geometric sum.\n\n >>> x = clifford(1); x += clifford(\"{2}\"); print x\n 1+{2}\n ";
8168 #if CYTHON_COMPILING_IN_CPYTHON 8169 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_22__iadd__;
8171 static PyObject *__pyx_pw_8PyClical_8clifford_23__iadd__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs) {
8172 PyObject *__pyx_r = 0;
8173 __Pyx_RefNannyDeclarations
8174 __Pyx_RefNannySetupContext(
"__iadd__ (wrapper)", 0);
8175 __pyx_r = __pyx_pf_8PyClical_8clifford_22__iadd__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_rhs));
8178 __Pyx_RefNannyFinishContext();
8182 static PyObject *__pyx_pf_8PyClical_8clifford_22__iadd__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs) {
8183 PyObject *__pyx_r = NULL;
8184 __Pyx_RefNannyDeclarations
8185 PyObject *__pyx_t_1 = NULL;
8186 __Pyx_RefNannySetupContext(
"__iadd__", 0);
8195 __Pyx_XDECREF(__pyx_r);
8196 __pyx_t_1 = __pyx_f_8PyClical_8clifford_wrap(__pyx_v_self, (__pyx_f_8PyClical_8clifford_unwrap(__pyx_v_self) + __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 757, __pyx_L1_error)
8197 __Pyx_GOTREF(__pyx_t_1);
8198 __pyx_r = __pyx_t_1;
8212 __Pyx_XDECREF(__pyx_t_1);
8213 __Pyx_AddTraceback(
"PyClical.clifford.__iadd__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8216 __Pyx_XGIVEREF(__pyx_r);
8217 __Pyx_RefNannyFinishContext();
8230 static PyObject *__pyx_pw_8PyClical_8clifford_25__sub__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
8231 static char __pyx_doc_8PyClical_8clifford_24__sub__[] =
"\n Geometric difference.\n\n >>> print clifford(1) - clifford(\"{2}\")\n 1-{2}\n >>> print clifford(\"{1}\") - clifford(\"{2}\")\n {1}-{2}\n ";
8232 #if CYTHON_COMPILING_IN_CPYTHON 8233 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_24__sub__;
8235 static PyObject *__pyx_pw_8PyClical_8clifford_25__sub__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8236 PyObject *__pyx_r = 0;
8237 __Pyx_RefNannyDeclarations
8238 __Pyx_RefNannySetupContext(
"__sub__ (wrapper)", 0);
8239 __pyx_r = __pyx_pf_8PyClical_8clifford_24__sub__(((PyObject *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs));
8242 __Pyx_RefNannyFinishContext();
8246 static PyObject *__pyx_pf_8PyClical_8clifford_24__sub__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8247 PyObject *__pyx_r = NULL;
8248 __Pyx_RefNannyDeclarations
8249 PyObject *__pyx_t_1 = NULL;
8250 PyObject *__pyx_t_2 = NULL;
8251 __Pyx_RefNannySetupContext(
"__sub__", 0);
8260 __Pyx_XDECREF(__pyx_r);
8261 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 768, __pyx_L1_error)
8262 __Pyx_GOTREF(__pyx_t_1);
8263 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), (__pyx_f_8PyClical_toClifford(__pyx_v_lhs) - __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 768, __pyx_L1_error)
8264 __Pyx_GOTREF(__pyx_t_2);
8265 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
8266 __pyx_r = __pyx_t_2;
8280 __Pyx_XDECREF(__pyx_t_1);
8281 __Pyx_XDECREF(__pyx_t_2);
8282 __Pyx_AddTraceback(
"PyClical.clifford.__sub__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8285 __Pyx_XGIVEREF(__pyx_r);
8286 __Pyx_RefNannyFinishContext();
8299 static PyObject *__pyx_pw_8PyClical_8clifford_27__isub__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs);
8300 static char __pyx_doc_8PyClical_8clifford_26__isub__[] =
"\n Geometric difference.\n\n >>> x = clifford(1); x -= clifford(\"{2}\"); print x\n 1-{2}\n ";
8301 #if CYTHON_COMPILING_IN_CPYTHON 8302 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_26__isub__;
8304 static PyObject *__pyx_pw_8PyClical_8clifford_27__isub__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs) {
8305 PyObject *__pyx_r = 0;
8306 __Pyx_RefNannyDeclarations
8307 __Pyx_RefNannySetupContext(
"__isub__ (wrapper)", 0);
8308 __pyx_r = __pyx_pf_8PyClical_8clifford_26__isub__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_rhs));
8311 __Pyx_RefNannyFinishContext();
8315 static PyObject *__pyx_pf_8PyClical_8clifford_26__isub__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs) {
8316 PyObject *__pyx_r = NULL;
8317 __Pyx_RefNannyDeclarations
8318 PyObject *__pyx_t_1 = NULL;
8319 __Pyx_RefNannySetupContext(
"__isub__", 0);
8328 __Pyx_XDECREF(__pyx_r);
8329 __pyx_t_1 = __pyx_f_8PyClical_8clifford_wrap(__pyx_v_self, (__pyx_f_8PyClical_8clifford_unwrap(__pyx_v_self) - __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 777, __pyx_L1_error)
8330 __Pyx_GOTREF(__pyx_t_1);
8331 __pyx_r = __pyx_t_1;
8345 __Pyx_XDECREF(__pyx_t_1);
8346 __Pyx_AddTraceback(
"PyClical.clifford.__isub__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8349 __Pyx_XGIVEREF(__pyx_r);
8350 __Pyx_RefNannyFinishContext();
8363 static PyObject *__pyx_pw_8PyClical_8clifford_29__mul__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
8364 static char __pyx_doc_8PyClical_8clifford_28__mul__[] =
"\n Geometric product.\n\n >>> print clifford(\"{1}\") * clifford(\"{2}\")\n {1,2}\n >>> print clifford(2) * clifford(\"{2}\")\n 2{2}\n >>> print clifford(\"{1}\") * clifford(\"{1,2}\")\n {2}\n ";
8365 #if CYTHON_COMPILING_IN_CPYTHON 8366 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_28__mul__;
8368 static PyObject *__pyx_pw_8PyClical_8clifford_29__mul__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8369 PyObject *__pyx_r = 0;
8370 __Pyx_RefNannyDeclarations
8371 __Pyx_RefNannySetupContext(
"__mul__ (wrapper)", 0);
8372 __pyx_r = __pyx_pf_8PyClical_8clifford_28__mul__(((PyObject *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs));
8375 __Pyx_RefNannyFinishContext();
8379 static PyObject *__pyx_pf_8PyClical_8clifford_28__mul__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8380 PyObject *__pyx_r = NULL;
8381 __Pyx_RefNannyDeclarations
8382 PyObject *__pyx_t_1 = NULL;
8383 PyObject *__pyx_t_2 = NULL;
8384 __Pyx_RefNannySetupContext(
"__mul__", 0);
8393 __Pyx_XDECREF(__pyx_r);
8394 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 790, __pyx_L1_error)
8395 __Pyx_GOTREF(__pyx_t_1);
8396 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), (__pyx_f_8PyClical_toClifford(__pyx_v_lhs) * __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 790, __pyx_L1_error)
8397 __Pyx_GOTREF(__pyx_t_2);
8398 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
8399 __pyx_r = __pyx_t_2;
8413 __Pyx_XDECREF(__pyx_t_1);
8414 __Pyx_XDECREF(__pyx_t_2);
8415 __Pyx_AddTraceback(
"PyClical.clifford.__mul__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8418 __Pyx_XGIVEREF(__pyx_r);
8419 __Pyx_RefNannyFinishContext();
8432 static PyObject *__pyx_pw_8PyClical_8clifford_31__imul__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs);
8433 static char __pyx_doc_8PyClical_8clifford_30__imul__[] =
"\n Geometric product.\n\n >>> x = clifford(2); x *= clifford(\"{2}\"); print x\n 2{2}\n >>> x = clifford(\"{1}\"); x *= clifford(\"{2}\"); print x\n {1,2}\n >>> x = clifford(\"{1}\"); x *= clifford(\"{1,2}\"); print x\n {2}\n ";
8434 #if CYTHON_COMPILING_IN_CPYTHON 8435 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_30__imul__;
8437 static PyObject *__pyx_pw_8PyClical_8clifford_31__imul__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs) {
8438 PyObject *__pyx_r = 0;
8439 __Pyx_RefNannyDeclarations
8440 __Pyx_RefNannySetupContext(
"__imul__ (wrapper)", 0);
8441 __pyx_r = __pyx_pf_8PyClical_8clifford_30__imul__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_rhs));
8444 __Pyx_RefNannyFinishContext();
8448 static PyObject *__pyx_pf_8PyClical_8clifford_30__imul__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs) {
8449 PyObject *__pyx_r = NULL;
8450 __Pyx_RefNannyDeclarations
8451 PyObject *__pyx_t_1 = NULL;
8452 __Pyx_RefNannySetupContext(
"__imul__", 0);
8461 __Pyx_XDECREF(__pyx_r);
8462 __pyx_t_1 = __pyx_f_8PyClical_8clifford_wrap(__pyx_v_self, (__pyx_f_8PyClical_8clifford_unwrap(__pyx_v_self) * __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 803, __pyx_L1_error)
8463 __Pyx_GOTREF(__pyx_t_1);
8464 __pyx_r = __pyx_t_1;
8478 __Pyx_XDECREF(__pyx_t_1);
8479 __Pyx_AddTraceback(
"PyClical.clifford.__imul__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8482 __Pyx_XGIVEREF(__pyx_r);
8483 __Pyx_RefNannyFinishContext();
8496 static PyObject *__pyx_pw_8PyClical_8clifford_33__mod__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
8497 static char __pyx_doc_8PyClical_8clifford_32__mod__[] =
"\n Contraction.\n\n >>> print clifford(\"{1}\") % clifford(\"{2}\")\n 0\n >>> print clifford(2) % clifford(\"{2}\")\n 2{2}\n >>> print clifford(\"{1}\") % clifford(\"{1}\")\n 1\n >>> print clifford(\"{1}\") % clifford(\"{1,2}\")\n {2}\n ";
8498 #if CYTHON_COMPILING_IN_CPYTHON 8499 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_32__mod__;
8501 static PyObject *__pyx_pw_8PyClical_8clifford_33__mod__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8502 PyObject *__pyx_r = 0;
8503 __Pyx_RefNannyDeclarations
8504 __Pyx_RefNannySetupContext(
"__mod__ (wrapper)", 0);
8505 __pyx_r = __pyx_pf_8PyClical_8clifford_32__mod__(((PyObject *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs));
8508 __Pyx_RefNannyFinishContext();
8512 static PyObject *__pyx_pf_8PyClical_8clifford_32__mod__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8513 PyObject *__pyx_r = NULL;
8514 __Pyx_RefNannyDeclarations
8515 PyObject *__pyx_t_1 = NULL;
8516 PyObject *__pyx_t_2 = NULL;
8517 __Pyx_RefNannySetupContext(
"__mod__", 0);
8526 __Pyx_XDECREF(__pyx_r);
8527 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 818, __pyx_L1_error)
8528 __Pyx_GOTREF(__pyx_t_1);
8529 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), (__pyx_f_8PyClical_toClifford(__pyx_v_lhs) % __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 818, __pyx_L1_error)
8530 __Pyx_GOTREF(__pyx_t_2);
8531 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
8532 __pyx_r = __pyx_t_2;
8546 __Pyx_XDECREF(__pyx_t_1);
8547 __Pyx_XDECREF(__pyx_t_2);
8548 __Pyx_AddTraceback(
"PyClical.clifford.__mod__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8551 __Pyx_XGIVEREF(__pyx_r);
8552 __Pyx_RefNannyFinishContext();
8565 static PyObject *__pyx_pw_8PyClical_8clifford_35__imod__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs);
8566 static char __pyx_doc_8PyClical_8clifford_34__imod__[] =
"\n Contraction.\n\n >>> x = clifford(\"{1}\"); x %= clifford(\"{2}\"); print x\n 0\n >>> x = clifford(2); x %= clifford(\"{2}\"); print x\n 2{2}\n >>> x = clifford(\"{1}\"); x %= clifford(\"{1}\"); print x\n 1\n >>> x = clifford(\"{1}\"); x %= clifford(\"{1,2}\"); print x\n {2}\n ";
8567 #if CYTHON_COMPILING_IN_CPYTHON 8568 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_34__imod__;
8570 static PyObject *__pyx_pw_8PyClical_8clifford_35__imod__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs) {
8571 PyObject *__pyx_r = 0;
8572 __Pyx_RefNannyDeclarations
8573 __Pyx_RefNannySetupContext(
"__imod__ (wrapper)", 0);
8574 __pyx_r = __pyx_pf_8PyClical_8clifford_34__imod__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_rhs));
8577 __Pyx_RefNannyFinishContext();
8581 static PyObject *__pyx_pf_8PyClical_8clifford_34__imod__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs) {
8582 PyObject *__pyx_r = NULL;
8583 __Pyx_RefNannyDeclarations
8584 PyObject *__pyx_t_1 = NULL;
8585 __Pyx_RefNannySetupContext(
"__imod__", 0);
8594 __Pyx_XDECREF(__pyx_r);
8595 __pyx_t_1 = __pyx_f_8PyClical_8clifford_wrap(__pyx_v_self, (__pyx_f_8PyClical_8clifford_unwrap(__pyx_v_self) % __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 833, __pyx_L1_error)
8596 __Pyx_GOTREF(__pyx_t_1);
8597 __pyx_r = __pyx_t_1;
8611 __Pyx_XDECREF(__pyx_t_1);
8612 __Pyx_AddTraceback(
"PyClical.clifford.__imod__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8615 __Pyx_XGIVEREF(__pyx_r);
8616 __Pyx_RefNannyFinishContext();
8629 static PyObject *__pyx_pw_8PyClical_8clifford_37__and__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
8630 static char __pyx_doc_8PyClical_8clifford_36__and__[] =
"\n Inner product.\n\n >>> print clifford(\"{1}\") & clifford(\"{2}\")\n 0\n >>> print clifford(2) & clifford(\"{2}\")\n 0\n >>> print clifford(\"{1}\") & clifford(\"{1}\")\n 1\n >>> print clifford(\"{1}\") & clifford(\"{1,2}\")\n {2}\n ";
8631 #if CYTHON_COMPILING_IN_CPYTHON 8632 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_36__and__;
8634 static PyObject *__pyx_pw_8PyClical_8clifford_37__and__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8635 PyObject *__pyx_r = 0;
8636 __Pyx_RefNannyDeclarations
8637 __Pyx_RefNannySetupContext(
"__and__ (wrapper)", 0);
8638 __pyx_r = __pyx_pf_8PyClical_8clifford_36__and__(((PyObject *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs));
8641 __Pyx_RefNannyFinishContext();
8645 static PyObject *__pyx_pf_8PyClical_8clifford_36__and__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8646 PyObject *__pyx_r = NULL;
8647 __Pyx_RefNannyDeclarations
8648 PyObject *__pyx_t_1 = NULL;
8649 PyObject *__pyx_t_2 = NULL;
8650 __Pyx_RefNannySetupContext(
"__and__", 0);
8659 __Pyx_XDECREF(__pyx_r);
8660 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 848, __pyx_L1_error)
8661 __Pyx_GOTREF(__pyx_t_1);
8662 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), (__pyx_f_8PyClical_toClifford(__pyx_v_lhs) & __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 848, __pyx_L1_error)
8663 __Pyx_GOTREF(__pyx_t_2);
8664 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
8665 __pyx_r = __pyx_t_2;
8679 __Pyx_XDECREF(__pyx_t_1);
8680 __Pyx_XDECREF(__pyx_t_2);
8681 __Pyx_AddTraceback(
"PyClical.clifford.__and__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8684 __Pyx_XGIVEREF(__pyx_r);
8685 __Pyx_RefNannyFinishContext();
8698 static PyObject *__pyx_pw_8PyClical_8clifford_39__iand__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs);
8699 static char __pyx_doc_8PyClical_8clifford_38__iand__[] =
"\n Inner product.\n\n >>> x = clifford(\"{1}\"); x &= clifford(\"{2}\"); print x\n 0\n >>> x = clifford(2); x &= clifford(\"{2}\"); print x\n 0\n >>> x = clifford(\"{1}\"); x &= clifford(\"{1}\"); print x\n 1\n >>> x = clifford(\"{1}\"); x &= clifford(\"{1,2}\"); print x\n {2}\n ";
8700 #if CYTHON_COMPILING_IN_CPYTHON 8701 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_38__iand__;
8703 static PyObject *__pyx_pw_8PyClical_8clifford_39__iand__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs) {
8704 PyObject *__pyx_r = 0;
8705 __Pyx_RefNannyDeclarations
8706 __Pyx_RefNannySetupContext(
"__iand__ (wrapper)", 0);
8707 __pyx_r = __pyx_pf_8PyClical_8clifford_38__iand__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_rhs));
8710 __Pyx_RefNannyFinishContext();
8714 static PyObject *__pyx_pf_8PyClical_8clifford_38__iand__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs) {
8715 PyObject *__pyx_r = NULL;
8716 __Pyx_RefNannyDeclarations
8717 PyObject *__pyx_t_1 = NULL;
8718 __Pyx_RefNannySetupContext(
"__iand__", 0);
8727 __Pyx_XDECREF(__pyx_r);
8728 __pyx_t_1 = __pyx_f_8PyClical_8clifford_wrap(__pyx_v_self, (__pyx_f_8PyClical_8clifford_unwrap(__pyx_v_self) & __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 863, __pyx_L1_error)
8729 __Pyx_GOTREF(__pyx_t_1);
8730 __pyx_r = __pyx_t_1;
8744 __Pyx_XDECREF(__pyx_t_1);
8745 __Pyx_AddTraceback(
"PyClical.clifford.__iand__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8748 __Pyx_XGIVEREF(__pyx_r);
8749 __Pyx_RefNannyFinishContext();
8762 static PyObject *__pyx_pw_8PyClical_8clifford_41__xor__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
8763 static char __pyx_doc_8PyClical_8clifford_40__xor__[] =
"\n Outer product.\n\n >>> print clifford(\"{1}\") ^ clifford(\"{2}\")\n {1,2}\n >>> print clifford(2) ^ clifford(\"{2}\")\n 2{2}\n >>> print clifford(\"{1}\") ^ clifford(\"{1}\")\n 0\n >>> print clifford(\"{1}\") ^ clifford(\"{1,2}\")\n 0\n ";
8764 #if CYTHON_COMPILING_IN_CPYTHON 8765 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_40__xor__;
8767 static PyObject *__pyx_pw_8PyClical_8clifford_41__xor__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8768 PyObject *__pyx_r = 0;
8769 __Pyx_RefNannyDeclarations
8770 __Pyx_RefNannySetupContext(
"__xor__ (wrapper)", 0);
8771 __pyx_r = __pyx_pf_8PyClical_8clifford_40__xor__(((PyObject *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs));
8774 __Pyx_RefNannyFinishContext();
8778 static PyObject *__pyx_pf_8PyClical_8clifford_40__xor__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8779 PyObject *__pyx_r = NULL;
8780 __Pyx_RefNannyDeclarations
8781 PyObject *__pyx_t_1 = NULL;
8782 PyObject *__pyx_t_2 = NULL;
8783 __Pyx_RefNannySetupContext(
"__xor__", 0);
8792 __Pyx_XDECREF(__pyx_r);
8793 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 878, __pyx_L1_error)
8794 __Pyx_GOTREF(__pyx_t_1);
8795 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), (__pyx_f_8PyClical_toClifford(__pyx_v_lhs) ^ __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 878, __pyx_L1_error)
8796 __Pyx_GOTREF(__pyx_t_2);
8797 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
8798 __pyx_r = __pyx_t_2;
8812 __Pyx_XDECREF(__pyx_t_1);
8813 __Pyx_XDECREF(__pyx_t_2);
8814 __Pyx_AddTraceback(
"PyClical.clifford.__xor__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8817 __Pyx_XGIVEREF(__pyx_r);
8818 __Pyx_RefNannyFinishContext();
8831 static PyObject *__pyx_pw_8PyClical_8clifford_43__ixor__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs);
8832 static char __pyx_doc_8PyClical_8clifford_42__ixor__[] =
"\n Outer product.\n\n >>> x = clifford(\"{1}\"); x ^= clifford(\"{2}\"); print x\n {1,2}\n >>> x = clifford(2); x ^= clifford(\"{2}\"); print x\n 2{2}\n >>> x = clifford(\"{1}\"); x ^= clifford(\"{1}\"); print x\n 0\n >>> x = clifford(\"{1}\"); x ^= clifford(\"{1,2}\"); print x\n 0\n ";
8833 #if CYTHON_COMPILING_IN_CPYTHON 8834 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_42__ixor__;
8836 static PyObject *__pyx_pw_8PyClical_8clifford_43__ixor__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs) {
8837 PyObject *__pyx_r = 0;
8838 __Pyx_RefNannyDeclarations
8839 __Pyx_RefNannySetupContext(
"__ixor__ (wrapper)", 0);
8840 __pyx_r = __pyx_pf_8PyClical_8clifford_42__ixor__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_rhs));
8843 __Pyx_RefNannyFinishContext();
8847 static PyObject *__pyx_pf_8PyClical_8clifford_42__ixor__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs) {
8848 PyObject *__pyx_r = NULL;
8849 __Pyx_RefNannyDeclarations
8850 PyObject *__pyx_t_1 = NULL;
8851 __Pyx_RefNannySetupContext(
"__ixor__", 0);
8860 __Pyx_XDECREF(__pyx_r);
8861 __pyx_t_1 = __pyx_f_8PyClical_8clifford_wrap(__pyx_v_self, (__pyx_f_8PyClical_8clifford_unwrap(__pyx_v_self) ^ __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 893, __pyx_L1_error)
8862 __Pyx_GOTREF(__pyx_t_1);
8863 __pyx_r = __pyx_t_1;
8877 __Pyx_XDECREF(__pyx_t_1);
8878 __Pyx_AddTraceback(
"PyClical.clifford.__ixor__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8881 __Pyx_XGIVEREF(__pyx_r);
8882 __Pyx_RefNannyFinishContext();
8895 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 8896 static PyObject *__pyx_pw_8PyClical_8clifford_45__div__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
8897 static char __pyx_doc_8PyClical_8clifford_44__div__[] =
"\n Geometric quotient.\n\n >>> print clifford(\"{1}\") / clifford(\"{2}\")\n {1,2}\n >>> print clifford(2) / clifford(\"{2}\")\n 2{2}\n >>> print clifford(\"{1}\") / clifford(\"{1}\")\n 1\n >>> print clifford(\"{1}\") / clifford(\"{1,2}\")\n -{2}\n ";
8898 #if CYTHON_COMPILING_IN_CPYTHON 8899 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_44__div__;
8901 static PyObject *__pyx_pw_8PyClical_8clifford_45__div__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8902 PyObject *__pyx_r = 0;
8903 __Pyx_RefNannyDeclarations
8904 __Pyx_RefNannySetupContext(
"__div__ (wrapper)", 0);
8905 __pyx_r = __pyx_pf_8PyClical_8clifford_44__div__(((PyObject *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs));
8908 __Pyx_RefNannyFinishContext();
8913 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 8914 static PyObject *__pyx_pf_8PyClical_8clifford_44__div__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
8915 PyObject *__pyx_r = NULL;
8916 __Pyx_RefNannyDeclarations
8917 PyObject *__pyx_t_1 = NULL;
8918 PyObject *__pyx_t_2 = NULL;
8919 __Pyx_RefNannySetupContext(
"__div__", 0);
8928 __Pyx_XDECREF(__pyx_r);
8929 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 908, __pyx_L1_error)
8930 __Pyx_GOTREF(__pyx_t_1);
8931 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), (__pyx_f_8PyClical_toClifford(__pyx_v_lhs) / __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 908, __pyx_L1_error)
8932 __Pyx_GOTREF(__pyx_t_2);
8933 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
8934 __pyx_r = __pyx_t_2;
8948 __Pyx_XDECREF(__pyx_t_1);
8949 __Pyx_XDECREF(__pyx_t_2);
8950 __Pyx_AddTraceback(
"PyClical.clifford.__div__", __pyx_clineno, __pyx_lineno, __pyx_filename);
8953 __Pyx_XGIVEREF(__pyx_r);
8954 __Pyx_RefNannyFinishContext();
8968 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 8969 static PyObject *__pyx_pw_8PyClical_8clifford_47__idiv__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs);
8970 static char __pyx_doc_8PyClical_8clifford_46__idiv__[] =
"\n Geometric quotient.\n\n >>> x = clifford(\"{1}\"); x /= clifford(\"{2}\"); print x\n {1,2}\n >>> x = clifford(2); x /= clifford(\"{2}\"); print x\n 2{2}\n >>> x = clifford(\"{1}\"); x /= clifford(\"{1}\"); print x\n 1\n >>> x = clifford(\"{1}\"); x /= clifford(\"{1,2}\"); print x\n -{2}\n ";
8971 #if CYTHON_COMPILING_IN_CPYTHON 8972 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_46__idiv__;
8974 static PyObject *__pyx_pw_8PyClical_8clifford_47__idiv__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs) {
8975 PyObject *__pyx_r = 0;
8976 __Pyx_RefNannyDeclarations
8977 __Pyx_RefNannySetupContext(
"__idiv__ (wrapper)", 0);
8978 __pyx_r = __pyx_pf_8PyClical_8clifford_46__idiv__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_rhs));
8981 __Pyx_RefNannyFinishContext();
8986 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 8987 static PyObject *__pyx_pf_8PyClical_8clifford_46__idiv__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs) {
8988 PyObject *__pyx_r = NULL;
8989 __Pyx_RefNannyDeclarations
8990 PyObject *__pyx_t_1 = NULL;
8991 __Pyx_RefNannySetupContext(
"__idiv__", 0);
9000 __Pyx_XDECREF(__pyx_r);
9001 __pyx_t_1 = __pyx_f_8PyClical_8clifford_wrap(__pyx_v_self, (__pyx_f_8PyClical_8clifford_unwrap(__pyx_v_self) / __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 923, __pyx_L1_error)
9002 __Pyx_GOTREF(__pyx_t_1);
9003 __pyx_r = __pyx_t_1;
9017 __Pyx_XDECREF(__pyx_t_1);
9018 __Pyx_AddTraceback(
"PyClical.clifford.__idiv__", __pyx_clineno, __pyx_lineno, __pyx_filename);
9021 __Pyx_XGIVEREF(__pyx_r);
9022 __Pyx_RefNannyFinishContext();
9036 static PyObject *__pyx_pw_8PyClical_8clifford_49inv(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
9037 static char __pyx_doc_8PyClical_8clifford_48inv[] =
"\n Geometric multiplicative inverse.\n\n >>> x = clifford(\"{1}\"); print x.inv()\n {1}\n >>> x = clifford(2); print x.inv()\n 0.5\n >>> x = clifford(\"{1,2}\"); print x.inv()\n -{1,2}\n ";
9038 static PyObject *__pyx_pw_8PyClical_8clifford_49inv(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
9039 PyObject *__pyx_r = 0;
9040 __Pyx_RefNannyDeclarations
9041 __Pyx_RefNannySetupContext(
"inv (wrapper)", 0);
9042 __pyx_r = __pyx_pf_8PyClical_8clifford_48inv(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
9045 __Pyx_RefNannyFinishContext();
9049 static PyObject *__pyx_pf_8PyClical_8clifford_48inv(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
9050 PyObject *__pyx_r = NULL;
9051 __Pyx_RefNannyDeclarations
9052 PyObject *__pyx_t_1 = NULL;
9053 PyObject *__pyx_t_2 = NULL;
9054 __Pyx_RefNannySetupContext(
"inv", 0);
9063 __Pyx_XDECREF(__pyx_r);
9064 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 936, __pyx_L1_error)
9065 __Pyx_GOTREF(__pyx_t_1);
9066 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), __pyx_v_self->instance->inv());
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 936, __pyx_L1_error)
9067 __Pyx_GOTREF(__pyx_t_2);
9068 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
9069 __pyx_r = __pyx_t_2;
9083 __Pyx_XDECREF(__pyx_t_1);
9084 __Pyx_XDECREF(__pyx_t_2);
9085 __Pyx_AddTraceback(
"PyClical.clifford.inv", __pyx_clineno, __pyx_lineno, __pyx_filename);
9088 __Pyx_XGIVEREF(__pyx_r);
9089 __Pyx_RefNannyFinishContext();
9102 static PyObject *__pyx_pw_8PyClical_8clifford_51__or__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
9103 static char __pyx_doc_8PyClical_8clifford_50__or__[] =
"\n Transform left hand side, using right hand side as a transformation.\n\n >>> x=clifford(\"{1,2}\") * pi/2; y=clifford(\"{1}\"); print y|x\n -{1}\n >>> x=clifford(\"{1,2}\") * pi/2; y=clifford(\"{1}\"); print y|exp(x)\n -{1}\n ";
9104 #if CYTHON_COMPILING_IN_CPYTHON 9105 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_50__or__;
9107 static PyObject *__pyx_pw_8PyClical_8clifford_51__or__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
9108 PyObject *__pyx_r = 0;
9109 __Pyx_RefNannyDeclarations
9110 __Pyx_RefNannySetupContext(
"__or__ (wrapper)", 0);
9111 __pyx_r = __pyx_pf_8PyClical_8clifford_50__or__(((PyObject *)__pyx_v_lhs), ((PyObject *)__pyx_v_rhs));
9114 __Pyx_RefNannyFinishContext();
9118 static PyObject *__pyx_pf_8PyClical_8clifford_50__or__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs) {
9119 PyObject *__pyx_r = NULL;
9120 __Pyx_RefNannyDeclarations
9121 PyObject *__pyx_t_1 = NULL;
9122 PyObject *__pyx_t_2 = NULL;
9123 __Pyx_RefNannySetupContext(
"__or__", 0);
9132 __Pyx_XDECREF(__pyx_r);
9133 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 947, __pyx_L1_error)
9134 __Pyx_GOTREF(__pyx_t_1);
9135 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), (__pyx_f_8PyClical_toClifford(__pyx_v_lhs) | __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 947, __pyx_L1_error)
9136 __Pyx_GOTREF(__pyx_t_2);
9137 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
9138 __pyx_r = __pyx_t_2;
9152 __Pyx_XDECREF(__pyx_t_1);
9153 __Pyx_XDECREF(__pyx_t_2);
9154 __Pyx_AddTraceback(
"PyClical.clifford.__or__", __pyx_clineno, __pyx_lineno, __pyx_filename);
9157 __Pyx_XGIVEREF(__pyx_r);
9158 __Pyx_RefNannyFinishContext();
9171 static PyObject *__pyx_pw_8PyClical_8clifford_53__ior__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs);
9172 static char __pyx_doc_8PyClical_8clifford_52__ior__[] =
"\n Transform left hand side, using right hand side as a transformation.\n\n >>> x=clifford(\"{1,2}\") * pi/2; y=clifford(\"{1}\"); y|=x; print y\n -{1}\n >>> x=clifford(\"{1,2}\") * pi/2; y=clifford(\"{1}\"); y|=exp(x); print y\n -{1}\n ";
9173 #if CYTHON_COMPILING_IN_CPYTHON 9174 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_52__ior__;
9176 static PyObject *__pyx_pw_8PyClical_8clifford_53__ior__(PyObject *__pyx_v_self, PyObject *__pyx_v_rhs) {
9177 PyObject *__pyx_r = 0;
9178 __Pyx_RefNannyDeclarations
9179 __Pyx_RefNannySetupContext(
"__ior__ (wrapper)", 0);
9180 __pyx_r = __pyx_pf_8PyClical_8clifford_52__ior__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_rhs));
9183 __Pyx_RefNannyFinishContext();
9187 static PyObject *__pyx_pf_8PyClical_8clifford_52__ior__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs) {
9188 PyObject *__pyx_r = NULL;
9189 __Pyx_RefNannyDeclarations
9190 PyObject *__pyx_t_1 = NULL;
9191 __Pyx_RefNannySetupContext(
"__ior__", 0);
9200 __Pyx_XDECREF(__pyx_r);
9201 __pyx_t_1 = __pyx_f_8PyClical_8clifford_wrap(__pyx_v_self, (__pyx_f_8PyClical_8clifford_unwrap(__pyx_v_self) | __pyx_f_8PyClical_toClifford(__pyx_v_rhs)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 958, __pyx_L1_error)
9202 __Pyx_GOTREF(__pyx_t_1);
9203 __pyx_r = __pyx_t_1;
9217 __Pyx_XDECREF(__pyx_t_1);
9218 __Pyx_AddTraceback(
"PyClical.clifford.__ior__", __pyx_clineno, __pyx_lineno, __pyx_filename);
9221 __Pyx_XGIVEREF(__pyx_r);
9222 __Pyx_RefNannyFinishContext();
9235 static PyObject *__pyx_pw_8PyClical_8clifford_55__pow__(PyObject *__pyx_v_self, PyObject *__pyx_v_m, PyObject *__pyx_v_dummy);
9236 static char __pyx_doc_8PyClical_8clifford_54__pow__[] =
"\n Power: self to the m.\n\n >>> x=clifford(\"{1}\"); print x ** 2\n 1\n >>> x=clifford(\"2\"); print x ** 2\n 4\n >>> x=clifford(\"2+{1}\"); print x ** 0\n 1\n >>> x=clifford(\"2+{1}\"); print x ** 1\n 2+{1}\n >>> x=clifford(\"2+{1}\"); print x ** 2\n 5+4{1}\n >>> i=clifford(\"{1,2}\");print exp(pi/2) * (i ** i)\n 1\n ";
9237 #if CYTHON_COMPILING_IN_CPYTHON 9238 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_54__pow__;
9240 static PyObject *__pyx_pw_8PyClical_8clifford_55__pow__(PyObject *__pyx_v_self, PyObject *__pyx_v_m, PyObject *__pyx_v_dummy) {
9241 PyObject *__pyx_r = 0;
9242 __Pyx_RefNannyDeclarations
9243 __Pyx_RefNannySetupContext(
"__pow__ (wrapper)", 0);
9244 __pyx_r = __pyx_pf_8PyClical_8clifford_54__pow__(((PyObject *)__pyx_v_self), ((PyObject *)__pyx_v_m), ((PyObject *)__pyx_v_dummy));
9247 __Pyx_RefNannyFinishContext();
9251 static PyObject *__pyx_pf_8PyClical_8clifford_54__pow__(PyObject *__pyx_v_self, PyObject *__pyx_v_m, CYTHON_UNUSED PyObject *__pyx_v_dummy) {
9252 PyObject *__pyx_r = NULL;
9253 __Pyx_RefNannyDeclarations
9254 PyObject *__pyx_t_1 = NULL;
9255 __Pyx_RefNannySetupContext(
"__pow__", 0);
9264 __Pyx_XDECREF(__pyx_r);
9265 __pyx_t_1 = __pyx_f_8PyClical_pow(__pyx_v_self, __pyx_v_m, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 977, __pyx_L1_error)
9266 __Pyx_GOTREF(__pyx_t_1);
9267 __pyx_r = __pyx_t_1;
9281 __Pyx_XDECREF(__pyx_t_1);
9282 __Pyx_AddTraceback(
"PyClical.clifford.__pow__", __pyx_clineno, __pyx_lineno, __pyx_filename);
9285 __Pyx_XGIVEREF(__pyx_r);
9286 __Pyx_RefNannyFinishContext();
9299 static PyObject *__pyx_pw_8PyClical_8clifford_57pow(PyObject *__pyx_v_self, PyObject *__pyx_v_m);
9300 static char __pyx_doc_8PyClical_8clifford_56pow[] =
"\n Power: self to the m.\n\n >>> x=clifford(\"{1}\"); print x.pow(2)\n 1\n >>> x=clifford(\"2\"); print x.pow(2)\n 4\n >>> x=clifford(\"2+{1}\"); print x.pow(0)\n 1\n >>> x=clifford(\"2+{1}\"); print x.pow(1)\n 2+{1}\n >>> x=clifford(\"2+{1}\"); print x.pow(2)\n 5+4{1}\n >>> print clifford(\"1+{1}+{1,2}\").pow(3)\n 1+3{1}+3{1,2}\n >>> i=clifford(\"{1,2}\");print exp(pi/2) * i.pow(i)\n 1\n ";
9301 static PyObject *__pyx_pw_8PyClical_8clifford_57pow(PyObject *__pyx_v_self, PyObject *__pyx_v_m) {
9302 PyObject *__pyx_r = 0;
9303 __Pyx_RefNannyDeclarations
9304 __Pyx_RefNannySetupContext(
"pow (wrapper)", 0);
9305 __pyx_r = __pyx_pf_8PyClical_8clifford_56pow(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_m));
9308 __Pyx_RefNannyFinishContext();
9312 static PyObject *__pyx_pf_8PyClical_8clifford_56pow(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_m) {
9313 PyObject *__pyx_r = NULL;
9314 __Pyx_RefNannyDeclarations
9315 PyObject *__pyx_t_1 = NULL;
9316 PyObject *__pyx_t_2 = NULL;
9320 __Pyx_RefNannySetupContext(
"pow", 0);
9329 __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_numbers);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 998, __pyx_L1_error)
9330 __Pyx_GOTREF(__pyx_t_1);
9331 __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_Integral);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 998, __pyx_L1_error)
9332 __Pyx_GOTREF(__pyx_t_2);
9333 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
9334 __pyx_t_3 = PyObject_IsInstance(__pyx_v_m, __pyx_t_2);
if (unlikely(__pyx_t_3 == ((
int)-1))) __PYX_ERR(0, 998, __pyx_L1_error)
9335 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
9336 __pyx_t_4 = (__pyx_t_3 != 0);
9346 __Pyx_XDECREF(__pyx_r);
9347 __pyx_t_2 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 999, __pyx_L1_error)
9348 __Pyx_GOTREF(__pyx_t_2);
9349 __pyx_t_5 = __Pyx_PyInt_As_int(__pyx_v_m);
if (unlikely((__pyx_t_5 == (
int)-1) && PyErr_Occurred())) __PYX_ERR(0, 999, __pyx_L1_error)
9350 __pyx_t_1 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_2), __pyx_v_self->instance->pow(__pyx_t_5));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 999, __pyx_L1_error)
9351 __Pyx_GOTREF(__pyx_t_1);
9352 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
9353 __pyx_r = __pyx_t_1;
9374 __Pyx_XDECREF(__pyx_r);
9375 __pyx_t_1 = __pyx_f_8PyClical_log(((PyObject *)__pyx_v_self), 0, NULL);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1001, __pyx_L1_error)
9376 __Pyx_GOTREF(__pyx_t_1);
9377 __pyx_t_2 = PyNumber_Multiply(__pyx_v_m, __pyx_t_1);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1001, __pyx_L1_error)
9378 __Pyx_GOTREF(__pyx_t_2);
9379 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
9380 __pyx_t_1 = __pyx_f_8PyClical_exp(__pyx_t_2, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1001, __pyx_L1_error)
9381 __Pyx_GOTREF(__pyx_t_1);
9382 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
9383 __pyx_r = __pyx_t_1;
9398 __Pyx_XDECREF(__pyx_t_1);
9399 __Pyx_XDECREF(__pyx_t_2);
9400 __Pyx_AddTraceback(
"PyClical.clifford.pow", __pyx_clineno, __pyx_lineno, __pyx_filename);
9403 __Pyx_XGIVEREF(__pyx_r);
9404 __Pyx_RefNannyFinishContext();
9417 static PyObject *__pyx_pw_8PyClical_8clifford_59outer_pow(PyObject *__pyx_v_self, PyObject *__pyx_v_m);
9418 static char __pyx_doc_8PyClical_8clifford_58outer_pow[] =
"\n Outer product power.\n\n >>> x=clifford(\"2+{1}\"); print x.outer_pow(0)\n 1\n >>> x=clifford(\"2+{1}\"); print x.outer_pow(1)\n 2+{1}\n >>> x=clifford(\"2+{1}\"); print x.outer_pow(2)\n 4+4{1}\n >>> print clifford(\"1+{1}+{1,2}\").outer_pow(3)\n 1+3{1}+3{1,2}\n\n ";
9419 static PyObject *__pyx_pw_8PyClical_8clifford_59outer_pow(PyObject *__pyx_v_self, PyObject *__pyx_v_m) {
9420 PyObject *__pyx_r = 0;
9421 __Pyx_RefNannyDeclarations
9422 __Pyx_RefNannySetupContext(
"outer_pow (wrapper)", 0);
9423 __pyx_r = __pyx_pf_8PyClical_8clifford_58outer_pow(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_m));
9426 __Pyx_RefNannyFinishContext();
9430 static PyObject *__pyx_pf_8PyClical_8clifford_58outer_pow(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_m) {
9431 PyObject *__pyx_r = NULL;
9432 __Pyx_RefNannyDeclarations
9433 PyObject *__pyx_t_1 = NULL;
9435 PyObject *__pyx_t_3 = NULL;
9436 __Pyx_RefNannySetupContext(
"outer_pow", 0);
9445 __Pyx_XDECREF(__pyx_r);
9446 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1017, __pyx_L1_error)
9447 __Pyx_GOTREF(__pyx_t_1);
9448 __pyx_t_2 = __Pyx_PyInt_As_int(__pyx_v_m);
if (unlikely((__pyx_t_2 == (
int)-1) && PyErr_Occurred())) __PYX_ERR(0, 1017, __pyx_L1_error)
9449 __pyx_t_3 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), __pyx_v_self->instance->outer_pow(__pyx_t_2));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1017, __pyx_L1_error)
9450 __Pyx_GOTREF(__pyx_t_3);
9451 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
9452 __pyx_r = __pyx_t_3;
9466 __Pyx_XDECREF(__pyx_t_1);
9467 __Pyx_XDECREF(__pyx_t_3);
9468 __Pyx_AddTraceback(
"PyClical.clifford.outer_pow", __pyx_clineno, __pyx_lineno, __pyx_filename);
9471 __Pyx_XGIVEREF(__pyx_r);
9472 __Pyx_RefNannyFinishContext();
9485 static PyObject *__pyx_pw_8PyClical_8clifford_61__call__(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
9486 static char __pyx_doc_8PyClical_8clifford_60__call__[] =
"\n Pure grade-vector part.\n\n >>> print clifford(\"{1}\")(1)\n {1}\n >>> print clifford(\"{1}\")(0)\n 0\n >>> print clifford(\"1+{1}+{1,2}\")(0)\n 1\n >>> print clifford(\"1+{1}+{1,2}\")(1)\n {1}\n >>> print clifford(\"1+{1}+{1,2}\")(2)\n {1,2}\n >>> print clifford(\"1+{1}+{1,2}\")(3)\n 0\n ";
9487 #if CYTHON_COMPILING_IN_CPYTHON 9488 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_60__call__;
9490 static PyObject *__pyx_pw_8PyClical_8clifford_61__call__(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
9491 PyObject *__pyx_v_grade = 0;
9492 PyObject *__pyx_r = 0;
9493 __Pyx_RefNannyDeclarations
9494 __Pyx_RefNannySetupContext(
"__call__ (wrapper)", 0);
9496 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_grade,0};
9497 PyObject* values[1] = {0};
9498 if (unlikely(__pyx_kwds)) {
9500 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
9502 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
9505 default:
goto __pyx_L5_argtuple_error;
9507 kw_args = PyDict_Size(__pyx_kwds);
9510 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_grade)) != 0)) kw_args--;
9511 else goto __pyx_L5_argtuple_error;
9513 if (unlikely(kw_args > 0)) {
9514 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"__call__") < 0)) __PYX_ERR(0, 1019, __pyx_L3_error)
9516 }
else if (PyTuple_GET_SIZE(__pyx_args) != 1) {
9517 goto __pyx_L5_argtuple_error;
9519 values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
9521 __pyx_v_grade = values[0];
9523 goto __pyx_L4_argument_unpacking_done;
9524 __pyx_L5_argtuple_error:;
9525 __Pyx_RaiseArgtupleInvalid(
"__call__", 1, 1, 1, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1019, __pyx_L3_error)
9527 __Pyx_AddTraceback(
"PyClical.clifford.__call__", __pyx_clineno, __pyx_lineno, __pyx_filename);
9528 __Pyx_RefNannyFinishContext();
9530 __pyx_L4_argument_unpacking_done:;
9531 __pyx_r = __pyx_pf_8PyClical_8clifford_60__call__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), __pyx_v_grade);
9534 __Pyx_RefNannyFinishContext();
9538 static PyObject *__pyx_pf_8PyClical_8clifford_60__call__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_grade) {
9539 PyObject *__pyx_r = NULL;
9540 __Pyx_RefNannyDeclarations
9541 PyObject *__pyx_t_1 = NULL;
9543 PyObject *__pyx_t_3 = NULL;
9544 __Pyx_RefNannySetupContext(
"__call__", 0);
9553 __Pyx_XDECREF(__pyx_r);
9554 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1036, __pyx_L1_error)
9555 __Pyx_GOTREF(__pyx_t_1);
9556 __pyx_t_2 = __Pyx_PyInt_As_int(__pyx_v_grade);
if (unlikely((__pyx_t_2 == (
int)-1) && PyErr_Occurred())) __PYX_ERR(0, 1036, __pyx_L1_error)
9557 __pyx_t_3 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), __pyx_v_self->instance->operator()(__pyx_t_2));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1036, __pyx_L1_error)
9558 __Pyx_GOTREF(__pyx_t_3);
9559 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
9560 __pyx_r = __pyx_t_3;
9574 __Pyx_XDECREF(__pyx_t_1);
9575 __Pyx_XDECREF(__pyx_t_3);
9576 __Pyx_AddTraceback(
"PyClical.clifford.__call__", __pyx_clineno, __pyx_lineno, __pyx_filename);
9579 __Pyx_XGIVEREF(__pyx_r);
9580 __Pyx_RefNannyFinishContext();
9593 static PyObject *__pyx_pw_8PyClical_8clifford_63scalar(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
9594 static char __pyx_doc_8PyClical_8clifford_62scalar[] =
"\n Scalar part.\n\n >>> clifford(\"1+{1}+{1,2}\").scalar()\n 1.0\n >>> clifford(\"{1,2}\").scalar()\n 0.0\n ";
9595 static PyObject *__pyx_pw_8PyClical_8clifford_63scalar(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
9596 PyObject *__pyx_r = 0;
9597 __Pyx_RefNannyDeclarations
9598 __Pyx_RefNannySetupContext(
"scalar (wrapper)", 0);
9599 __pyx_r = __pyx_pf_8PyClical_8clifford_62scalar(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
9602 __Pyx_RefNannyFinishContext();
9606 static PyObject *__pyx_pf_8PyClical_8clifford_62scalar(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
9607 PyObject *__pyx_r = NULL;
9608 __Pyx_RefNannyDeclarations
9609 PyObject *__pyx_t_1 = NULL;
9610 __Pyx_RefNannySetupContext(
"scalar", 0);
9619 __Pyx_XDECREF(__pyx_r);
9620 __pyx_t_1 =
PyFloat_FromDouble(__pyx_v_self->instance->scalar());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1047, __pyx_L1_error)
9621 __Pyx_GOTREF(__pyx_t_1);
9622 __pyx_r = __pyx_t_1;
9636 __Pyx_XDECREF(__pyx_t_1);
9637 __Pyx_AddTraceback(
"PyClical.clifford.scalar", __pyx_clineno, __pyx_lineno, __pyx_filename);
9640 __Pyx_XGIVEREF(__pyx_r);
9641 __Pyx_RefNannyFinishContext();
9654 static PyObject *__pyx_pw_8PyClical_8clifford_65pure(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
9655 static char __pyx_doc_8PyClical_8clifford_64pure[] =
"\n Pure part.\n\n >>> print clifford(\"1+{1}+{1,2}\").pure()\n {1}+{1,2}\n >>> print clifford(\"{1,2}\").pure()\n {1,2}\n ";
9656 static PyObject *__pyx_pw_8PyClical_8clifford_65pure(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
9657 PyObject *__pyx_r = 0;
9658 __Pyx_RefNannyDeclarations
9659 __Pyx_RefNannySetupContext(
"pure (wrapper)", 0);
9660 __pyx_r = __pyx_pf_8PyClical_8clifford_64pure(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
9663 __Pyx_RefNannyFinishContext();
9667 static PyObject *__pyx_pf_8PyClical_8clifford_64pure(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
9668 PyObject *__pyx_r = NULL;
9669 __Pyx_RefNannyDeclarations
9670 PyObject *__pyx_t_1 = NULL;
9671 PyObject *__pyx_t_2 = NULL;
9672 __Pyx_RefNannySetupContext(
"pure", 0);
9681 __Pyx_XDECREF(__pyx_r);
9682 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1058, __pyx_L1_error)
9683 __Pyx_GOTREF(__pyx_t_1);
9684 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), __pyx_v_self->instance->pure());
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1058, __pyx_L1_error)
9685 __Pyx_GOTREF(__pyx_t_2);
9686 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
9687 __pyx_r = __pyx_t_2;
9701 __Pyx_XDECREF(__pyx_t_1);
9702 __Pyx_XDECREF(__pyx_t_2);
9703 __Pyx_AddTraceback(
"PyClical.clifford.pure", __pyx_clineno, __pyx_lineno, __pyx_filename);
9706 __Pyx_XGIVEREF(__pyx_r);
9707 __Pyx_RefNannyFinishContext();
9720 static PyObject *__pyx_pw_8PyClical_8clifford_67even(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
9721 static char __pyx_doc_8PyClical_8clifford_66even[] =
"\n Even part of multivector, sum of even grade terms.\n\n >>> print clifford(\"1+{1}+{1,2}\").even()\n 1+{1,2}\n ";
9722 static PyObject *__pyx_pw_8PyClical_8clifford_67even(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
9723 PyObject *__pyx_r = 0;
9724 __Pyx_RefNannyDeclarations
9725 __Pyx_RefNannySetupContext(
"even (wrapper)", 0);
9726 __pyx_r = __pyx_pf_8PyClical_8clifford_66even(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
9729 __Pyx_RefNannyFinishContext();
9733 static PyObject *__pyx_pf_8PyClical_8clifford_66even(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
9734 PyObject *__pyx_r = NULL;
9735 __Pyx_RefNannyDeclarations
9736 PyObject *__pyx_t_1 = NULL;
9737 PyObject *__pyx_t_2 = NULL;
9738 __Pyx_RefNannySetupContext(
"even", 0);
9747 __Pyx_XDECREF(__pyx_r);
9748 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1067, __pyx_L1_error)
9749 __Pyx_GOTREF(__pyx_t_1);
9750 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), __pyx_v_self->instance->even());
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1067, __pyx_L1_error)
9751 __Pyx_GOTREF(__pyx_t_2);
9752 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
9753 __pyx_r = __pyx_t_2;
9767 __Pyx_XDECREF(__pyx_t_1);
9768 __Pyx_XDECREF(__pyx_t_2);
9769 __Pyx_AddTraceback(
"PyClical.clifford.even", __pyx_clineno, __pyx_lineno, __pyx_filename);
9772 __Pyx_XGIVEREF(__pyx_r);
9773 __Pyx_RefNannyFinishContext();
9786 static PyObject *__pyx_pw_8PyClical_8clifford_69odd(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
9787 static char __pyx_doc_8PyClical_8clifford_68odd[] =
"\n Odd part of multivector, sum of odd grade terms.\n\n >>> print clifford(\"1+{1}+{1,2}\").odd()\n {1}\n ";
9788 static PyObject *__pyx_pw_8PyClical_8clifford_69odd(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
9789 PyObject *__pyx_r = 0;
9790 __Pyx_RefNannyDeclarations
9791 __Pyx_RefNannySetupContext(
"odd (wrapper)", 0);
9792 __pyx_r = __pyx_pf_8PyClical_8clifford_68odd(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
9795 __Pyx_RefNannyFinishContext();
9799 static PyObject *__pyx_pf_8PyClical_8clifford_68odd(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
9800 PyObject *__pyx_r = NULL;
9801 __Pyx_RefNannyDeclarations
9802 PyObject *__pyx_t_1 = NULL;
9803 PyObject *__pyx_t_2 = NULL;
9804 __Pyx_RefNannySetupContext(
"odd", 0);
9813 __Pyx_XDECREF(__pyx_r);
9814 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1076, __pyx_L1_error)
9815 __Pyx_GOTREF(__pyx_t_1);
9816 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), __pyx_v_self->instance->odd());
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1076, __pyx_L1_error)
9817 __Pyx_GOTREF(__pyx_t_2);
9818 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
9819 __pyx_r = __pyx_t_2;
9833 __Pyx_XDECREF(__pyx_t_1);
9834 __Pyx_XDECREF(__pyx_t_2);
9835 __Pyx_AddTraceback(
"PyClical.clifford.odd", __pyx_clineno, __pyx_lineno, __pyx_filename);
9838 __Pyx_XGIVEREF(__pyx_r);
9839 __Pyx_RefNannyFinishContext();
9852 static PyObject *__pyx_pw_8PyClical_8clifford_71vector_part(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
9853 static char __pyx_doc_8PyClical_8clifford_70vector_part[] =
"\n Vector part of multivector, as a Python list, with respect to frm.\n\n >>> print clifford(\"1+2{1}+3{2}+4{1,2}\").vector_part()\n [2.0, 3.0]\n >>> print clifford(\"1+2{1}+3{2}+4{1,2}\").vector_part(index_set({-1,1,2}))\n [0.0, 2.0, 3.0]\n ";
9854 static PyObject *__pyx_pw_8PyClical_8clifford_71vector_part(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
9855 PyObject *__pyx_v_frm = 0;
9856 PyObject *__pyx_r = 0;
9857 __Pyx_RefNannyDeclarations
9858 __Pyx_RefNannySetupContext(
"vector_part (wrapper)", 0);
9860 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_frm,0};
9861 PyObject* values[1] = {0};
9862 values[0] = ((PyObject *)Py_None);
9863 if (unlikely(__pyx_kwds)) {
9865 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
9867 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
9870 default:
goto __pyx_L5_argtuple_error;
9872 kw_args = PyDict_Size(__pyx_kwds);
9876 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_frm);
9877 if (value) { values[0] = value; kw_args--; }
9880 if (unlikely(kw_args > 0)) {
9881 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"vector_part") < 0)) __PYX_ERR(0, 1078, __pyx_L3_error)
9884 switch (PyTuple_GET_SIZE(__pyx_args)) {
9885 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
9888 default:
goto __pyx_L5_argtuple_error;
9891 __pyx_v_frm = values[0];
9893 goto __pyx_L4_argument_unpacking_done;
9894 __pyx_L5_argtuple_error:;
9895 __Pyx_RaiseArgtupleInvalid(
"vector_part", 0, 0, 1, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1078, __pyx_L3_error)
9897 __Pyx_AddTraceback(
"PyClical.clifford.vector_part", __pyx_clineno, __pyx_lineno, __pyx_filename);
9898 __Pyx_RefNannyFinishContext();
9900 __pyx_L4_argument_unpacking_done:;
9901 __pyx_r = __pyx_pf_8PyClical_8clifford_70vector_part(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), __pyx_v_frm);
9904 __Pyx_RefNannyFinishContext();
9908 static PyObject *__pyx_pf_8PyClical_8clifford_70vector_part(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_frm) {
9909 PyObject *__pyx_v_error_msg_prefix = NULL;
9910 std::vector<scalar_t> __pyx_v_vec;
9913 PyObject *__pyx_v_lst = NULL;
9914 PyObject *__pyx_v_err = NULL;
9915 PyObject *__pyx_r = NULL;
9916 __Pyx_RefNannyDeclarations
9917 PyObject *__pyx_t_1 = NULL;
9918 PyObject *__pyx_t_2 = NULL;
9919 PyObject *__pyx_t_3 = NULL;
9922 std::vector<scalar_t> __pyx_t_6;
9923 PyObject *__pyx_t_7 = NULL;
9927 PyObject *__pyx_t_11 = NULL;
9928 PyObject *__pyx_t_12 = NULL;
9929 PyObject *__pyx_t_13 = NULL;
9930 PyObject *__pyx_t_14 = NULL;
9931 PyObject *__pyx_t_15 = NULL;
9932 __Pyx_RefNannySetupContext(
"vector_part", 0);
9941 __Pyx_INCREF(__pyx_kp_s_Cannot_take_vector_part_of);
9942 __pyx_v_error_msg_prefix = __pyx_kp_s_Cannot_take_vector_part_of;
9952 __Pyx_PyThreadState_declare
9953 __Pyx_PyThreadState_assign
9954 __Pyx_ExceptionSave(&__pyx_t_1, &__pyx_t_2, &__pyx_t_3);
9955 __Pyx_XGOTREF(__pyx_t_1);
9956 __Pyx_XGOTREF(__pyx_t_2);
9957 __Pyx_XGOTREF(__pyx_t_3);
9967 __pyx_t_4 = (__pyx_v_frm == Py_None);
9968 __pyx_t_5 = (__pyx_t_4 != 0);
9978 __pyx_t_6 = __pyx_v_self->instance->vector_part();
9979 __pyx_v_vec = __pyx_t_6;
10000 __pyx_t_6 = __pyx_v_self->instance->vector_part(__pyx_f_8PyClical_9index_set_unwrap(((
struct __pyx_obj_8PyClical_index_set *)__pyx_v_frm)));
10002 __Pyx_CppExn2PyErr();
10003 __PYX_ERR(0, 1095, __pyx_L3_error)
10005 __pyx_v_vec = __pyx_t_6;
10016 __pyx_v_n = __pyx_v_vec.size();
10025 __pyx_t_7 = PyList_New(1 * ((__pyx_v_n<0) ? 0:__pyx_v_n));
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1097, __pyx_L3_error)
10026 __Pyx_GOTREF(__pyx_t_7);
10027 { Py_ssize_t __pyx_temp;
10028 for (__pyx_temp=0; __pyx_temp < __pyx_v_n; __pyx_temp++) {
10029 __Pyx_INCREF(__pyx_float_0_0);
10030 __Pyx_GIVEREF(__pyx_float_0_0);
10031 PyList_SET_ITEM(__pyx_t_7, __pyx_temp, __pyx_float_0_0);
10034 __pyx_v_lst = ((PyObject*)__pyx_t_7);
10044 __pyx_t_8 = __pyx_v_n;
10045 __pyx_t_9 = __pyx_t_8;
10046 for (__pyx_t_10 = 0; __pyx_t_10 < __pyx_t_9; __pyx_t_10+=1) {
10047 __pyx_v_i = __pyx_t_10;
10056 __pyx_t_7 =
PyFloat_FromDouble((__pyx_v_vec[__pyx_v_i]));
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1099, __pyx_L3_error)
10057 __Pyx_GOTREF(__pyx_t_7);
10058 if (unlikely(__Pyx_SetItemInt(__pyx_v_lst, __pyx_v_i, __pyx_t_7,
int, 1, __Pyx_PyInt_From_int, 1, 1, 1) < 0)) __PYX_ERR(0, 1099, __pyx_L3_error)
10059 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
10069 __Pyx_XDECREF(__pyx_r);
10070 __Pyx_INCREF(__pyx_v_lst);
10071 __pyx_r = __pyx_v_lst;
10072 goto __pyx_L7_try_return;
10083 __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
10092 __pyx_t_8 = __Pyx_PyErr_ExceptionMatches(__pyx_builtin_RuntimeError);
10094 __Pyx_AddTraceback(
"PyClical.clifford.vector_part", __pyx_clineno, __pyx_lineno, __pyx_filename);
10095 if (__Pyx_GetException(&__pyx_t_7, &__pyx_t_11, &__pyx_t_12) < 0) __PYX_ERR(0, 1101, __pyx_L5_except_error)
10096 __Pyx_GOTREF(__pyx_t_7);
10097 __Pyx_GOTREF(__pyx_t_11);
10098 __Pyx_GOTREF(__pyx_t_12);
10099 __Pyx_INCREF(__pyx_t_11);
10100 __pyx_v_err = __pyx_t_11;
10109 __pyx_t_13 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), ((PyObject *)__pyx_v_self));
if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1102, __pyx_L5_except_error)
10110 __Pyx_GOTREF(__pyx_t_13);
10111 __pyx_t_14 = PyNumber_Add(__pyx_v_error_msg_prefix, __pyx_t_13);
if (unlikely(!__pyx_t_14)) __PYX_ERR(0, 1102, __pyx_L5_except_error)
10112 __Pyx_GOTREF(__pyx_t_14);
10113 __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
10114 __pyx_t_13 = PyNumber_Add(__pyx_t_14, __pyx_kp_s_using_invalid);
if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1102, __pyx_L5_except_error)
10115 __Pyx_GOTREF(__pyx_t_13);
10116 __Pyx_DECREF(__pyx_t_14); __pyx_t_14 = 0;
10125 __pyx_t_14 = PyObject_Repr(__pyx_v_frm);
if (unlikely(!__pyx_t_14)) __PYX_ERR(0, 1103, __pyx_L5_except_error)
10126 __Pyx_GOTREF(__pyx_t_14);
10127 __pyx_t_15 = PyNumber_Add(__pyx_t_13, __pyx_t_14);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 1103, __pyx_L5_except_error)
10128 __Pyx_GOTREF(__pyx_t_15);
10129 __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
10130 __Pyx_DECREF(__pyx_t_14); __pyx_t_14 = 0;
10131 __pyx_t_14 = PyNumber_Add(__pyx_t_15, __pyx_kp_s_as_frame);
if (unlikely(!__pyx_t_14)) __PYX_ERR(0, 1103, __pyx_L5_except_error)
10132 __Pyx_GOTREF(__pyx_t_14);
10133 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
10142 __pyx_t_15 = __Pyx_PyObject_CallOneArg(((PyObject *)(&PyString_Type)), __pyx_v_err);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 1104, __pyx_L5_except_error)
10143 __Pyx_GOTREF(__pyx_t_15);
10144 __pyx_t_13 = PyNumber_Add(__pyx_t_14, __pyx_t_15);
if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1104, __pyx_L5_except_error)
10145 __Pyx_GOTREF(__pyx_t_13);
10146 __Pyx_DECREF(__pyx_t_14); __pyx_t_14 = 0;
10147 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
10156 __pyx_t_15 = __Pyx_PyObject_CallOneArg(__pyx_builtin_ValueError, __pyx_t_13);
if (unlikely(!__pyx_t_15)) __PYX_ERR(0, 1102, __pyx_L5_except_error)
10157 __Pyx_GOTREF(__pyx_t_15);
10158 __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
10159 __Pyx_Raise(__pyx_t_15, 0, 0, 0);
10160 __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
10161 __PYX_ERR(0, 1102, __pyx_L5_except_error)
10163 goto __pyx_L5_except_error;
10164 __pyx_L5_except_error:;
10173 __Pyx_XGIVEREF(__pyx_t_1);
10174 __Pyx_XGIVEREF(__pyx_t_2);
10175 __Pyx_XGIVEREF(__pyx_t_3);
10176 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
10177 goto __pyx_L1_error;
10178 __pyx_L7_try_return:;
10179 __Pyx_XGIVEREF(__pyx_t_1);
10180 __Pyx_XGIVEREF(__pyx_t_2);
10181 __Pyx_XGIVEREF(__pyx_t_3);
10182 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
10196 __Pyx_XDECREF(__pyx_t_7);
10197 __Pyx_XDECREF(__pyx_t_11);
10198 __Pyx_XDECREF(__pyx_t_12);
10199 __Pyx_XDECREF(__pyx_t_13);
10200 __Pyx_XDECREF(__pyx_t_14);
10201 __Pyx_XDECREF(__pyx_t_15);
10202 __Pyx_AddTraceback(
"PyClical.clifford.vector_part", __pyx_clineno, __pyx_lineno, __pyx_filename);
10205 __Pyx_XDECREF(__pyx_v_error_msg_prefix);
10206 __Pyx_XDECREF(__pyx_v_lst);
10207 __Pyx_XDECREF(__pyx_v_err);
10208 __Pyx_XGIVEREF(__pyx_r);
10209 __Pyx_RefNannyFinishContext();
10222 static PyObject *__pyx_pw_8PyClical_8clifford_73involute(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
10223 static char __pyx_doc_8PyClical_8clifford_72involute[] =
"\n Main involution, each {i} is replaced by -{i} in each term,\n eg. clifford(\"{1}\") -> -clifford(\"{1}\").\n\n >>> print clifford(\"{1}\").involute()\n -{1}\n >>> print (clifford(\"{2}\") * clifford(\"{1}\")).involute()\n -{1,2}\n >>> print (clifford(\"{1}\") * clifford(\"{2}\")).involute()\n {1,2}\n >>> print clifford(\"1+{1}+{1,2}\").involute()\n 1-{1}+{1,2}\n ";
10224 static PyObject *__pyx_pw_8PyClical_8clifford_73involute(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
10225 PyObject *__pyx_r = 0;
10226 __Pyx_RefNannyDeclarations
10227 __Pyx_RefNannySetupContext(
"involute (wrapper)", 0);
10228 __pyx_r = __pyx_pf_8PyClical_8clifford_72involute(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
10231 __Pyx_RefNannyFinishContext();
10235 static PyObject *__pyx_pf_8PyClical_8clifford_72involute(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
10236 PyObject *__pyx_r = NULL;
10237 __Pyx_RefNannyDeclarations
10238 PyObject *__pyx_t_1 = NULL;
10239 PyObject *__pyx_t_2 = NULL;
10240 __Pyx_RefNannySetupContext(
"involute", 0);
10249 __Pyx_XDECREF(__pyx_r);
10250 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1120, __pyx_L1_error)
10251 __Pyx_GOTREF(__pyx_t_1);
10252 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), __pyx_v_self->instance->involute());
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1120, __pyx_L1_error)
10253 __Pyx_GOTREF(__pyx_t_2);
10254 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
10255 __pyx_r = __pyx_t_2;
10269 __Pyx_XDECREF(__pyx_t_1);
10270 __Pyx_XDECREF(__pyx_t_2);
10271 __Pyx_AddTraceback(
"PyClical.clifford.involute", __pyx_clineno, __pyx_lineno, __pyx_filename);
10274 __Pyx_XGIVEREF(__pyx_r);
10275 __Pyx_RefNannyFinishContext();
10288 static PyObject *__pyx_pw_8PyClical_8clifford_75reverse(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
10289 static char __pyx_doc_8PyClical_8clifford_74reverse[] =
"\n Reversion, eg. clifford(\"{1}\")*clifford(\"{2}\") -> clifford(\"{2}\")*clifford(\"{1}\").\n\n >>> print clifford(\"{1}\").reverse()\n {1}\n >>> print (clifford(\"{2}\") * clifford(\"{1}\")).reverse()\n {1,2}\n >>> print (clifford(\"{1}\") * clifford(\"{2}\")).reverse()\n -{1,2}\n >>> print clifford(\"1+{1}+{1,2}\").reverse()\n 1+{1}-{1,2}\n ";
10290 static PyObject *__pyx_pw_8PyClical_8clifford_75reverse(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
10291 PyObject *__pyx_r = 0;
10292 __Pyx_RefNannyDeclarations
10293 __Pyx_RefNannySetupContext(
"reverse (wrapper)", 0);
10294 __pyx_r = __pyx_pf_8PyClical_8clifford_74reverse(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
10297 __Pyx_RefNannyFinishContext();
10301 static PyObject *__pyx_pf_8PyClical_8clifford_74reverse(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
10302 PyObject *__pyx_r = NULL;
10303 __Pyx_RefNannyDeclarations
10304 PyObject *__pyx_t_1 = NULL;
10305 PyObject *__pyx_t_2 = NULL;
10306 __Pyx_RefNannySetupContext(
"reverse", 0);
10315 __Pyx_XDECREF(__pyx_r);
10316 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1135, __pyx_L1_error)
10317 __Pyx_GOTREF(__pyx_t_1);
10318 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), __pyx_v_self->instance->reverse());
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1135, __pyx_L1_error)
10319 __Pyx_GOTREF(__pyx_t_2);
10320 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
10321 __pyx_r = __pyx_t_2;
10335 __Pyx_XDECREF(__pyx_t_1);
10336 __Pyx_XDECREF(__pyx_t_2);
10337 __Pyx_AddTraceback(
"PyClical.clifford.reverse", __pyx_clineno, __pyx_lineno, __pyx_filename);
10340 __Pyx_XGIVEREF(__pyx_r);
10341 __Pyx_RefNannyFinishContext();
10354 static PyObject *__pyx_pw_8PyClical_8clifford_77conj(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
10355 static char __pyx_doc_8PyClical_8clifford_76conj[] =
"\n Conjugation, reverse o involute == involute o reverse.\n\n >>> print (clifford(\"{1}\")).conj()\n -{1}\n >>> print (clifford(\"{2}\") * clifford(\"{1}\")).conj()\n {1,2}\n >>> print (clifford(\"{1}\") * clifford(\"{2}\")).conj()\n -{1,2}\n >>> print clifford(\"1+{1}+{1,2}\").conj()\n 1-{1}-{1,2}\n ";
10356 static PyObject *__pyx_pw_8PyClical_8clifford_77conj(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
10357 PyObject *__pyx_r = 0;
10358 __Pyx_RefNannyDeclarations
10359 __Pyx_RefNannySetupContext(
"conj (wrapper)", 0);
10360 __pyx_r = __pyx_pf_8PyClical_8clifford_76conj(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
10363 __Pyx_RefNannyFinishContext();
10367 static PyObject *__pyx_pf_8PyClical_8clifford_76conj(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
10368 PyObject *__pyx_r = NULL;
10369 __Pyx_RefNannyDeclarations
10370 PyObject *__pyx_t_1 = NULL;
10371 PyObject *__pyx_t_2 = NULL;
10372 __Pyx_RefNannySetupContext(
"conj", 0);
10381 __Pyx_XDECREF(__pyx_r);
10382 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1150, __pyx_L1_error)
10383 __Pyx_GOTREF(__pyx_t_1);
10384 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), __pyx_v_self->instance->conj());
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1150, __pyx_L1_error)
10385 __Pyx_GOTREF(__pyx_t_2);
10386 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
10387 __pyx_r = __pyx_t_2;
10401 __Pyx_XDECREF(__pyx_t_1);
10402 __Pyx_XDECREF(__pyx_t_2);
10403 __Pyx_AddTraceback(
"PyClical.clifford.conj", __pyx_clineno, __pyx_lineno, __pyx_filename);
10406 __Pyx_XGIVEREF(__pyx_r);
10407 __Pyx_RefNannyFinishContext();
10420 static PyObject *__pyx_pw_8PyClical_8clifford_79quad(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
10421 static char __pyx_doc_8PyClical_8clifford_78quad[] =
"\n Quadratic form == (rev(x)*x)(0).\n\n >>> print clifford(\"1+{1}+{1,2}\").quad()\n 3.0\n >>> print clifford(\"1+{-1}+{1,2}+{1,2,3}\").quad()\n 2.0\n ";
10422 static PyObject *__pyx_pw_8PyClical_8clifford_79quad(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
10423 PyObject *__pyx_r = 0;
10424 __Pyx_RefNannyDeclarations
10425 __Pyx_RefNannySetupContext(
"quad (wrapper)", 0);
10426 __pyx_r = __pyx_pf_8PyClical_8clifford_78quad(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
10429 __Pyx_RefNannyFinishContext();
10433 static PyObject *__pyx_pf_8PyClical_8clifford_78quad(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
10434 PyObject *__pyx_r = NULL;
10435 __Pyx_RefNannyDeclarations
10436 PyObject *__pyx_t_1 = NULL;
10437 __Pyx_RefNannySetupContext(
"quad", 0);
10446 __Pyx_XDECREF(__pyx_r);
10447 __pyx_t_1 =
PyFloat_FromDouble(__pyx_v_self->instance->quad());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1161, __pyx_L1_error)
10448 __Pyx_GOTREF(__pyx_t_1);
10449 __pyx_r = __pyx_t_1;
10463 __Pyx_XDECREF(__pyx_t_1);
10464 __Pyx_AddTraceback(
"PyClical.clifford.quad", __pyx_clineno, __pyx_lineno, __pyx_filename);
10467 __Pyx_XGIVEREF(__pyx_r);
10468 __Pyx_RefNannyFinishContext();
10481 static PyObject *__pyx_pw_8PyClical_8clifford_81norm(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
10482 static char __pyx_doc_8PyClical_8clifford_80norm[] =
"\n Norm == sum of squares of coordinates.\n\n >>> clifford(\"1+{1}+{1,2}\").norm()\n 3.0\n >>> clifford(\"1+{-1}+{1,2}+{1,2,3}\").norm()\n 4.0\n ";
10483 static PyObject *__pyx_pw_8PyClical_8clifford_81norm(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
10484 PyObject *__pyx_r = 0;
10485 __Pyx_RefNannyDeclarations
10486 __Pyx_RefNannySetupContext(
"norm (wrapper)", 0);
10487 __pyx_r = __pyx_pf_8PyClical_8clifford_80norm(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
10490 __Pyx_RefNannyFinishContext();
10494 static PyObject *__pyx_pf_8PyClical_8clifford_80norm(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
10495 PyObject *__pyx_r = NULL;
10496 __Pyx_RefNannyDeclarations
10497 PyObject *__pyx_t_1 = NULL;
10498 __Pyx_RefNannySetupContext(
"norm", 0);
10507 __Pyx_XDECREF(__pyx_r);
10508 __pyx_t_1 =
PyFloat_FromDouble(__pyx_v_self->instance->norm());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1172, __pyx_L1_error)
10509 __Pyx_GOTREF(__pyx_t_1);
10510 __pyx_r = __pyx_t_1;
10524 __Pyx_XDECREF(__pyx_t_1);
10525 __Pyx_AddTraceback(
"PyClical.clifford.norm", __pyx_clineno, __pyx_lineno, __pyx_filename);
10528 __Pyx_XGIVEREF(__pyx_r);
10529 __Pyx_RefNannyFinishContext();
10542 static PyObject *__pyx_pw_8PyClical_8clifford_83abs(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
10543 static char __pyx_doc_8PyClical_8clifford_82abs[] =
"\n Absolute value: square root of norm.\n\n >>> clifford(\"1+{-1}+{1,2}+{1,2,3}\").abs()\n 2.0\n ";
10544 static PyObject *__pyx_pw_8PyClical_8clifford_83abs(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
10545 PyObject *__pyx_r = 0;
10546 __Pyx_RefNannyDeclarations
10547 __Pyx_RefNannySetupContext(
"abs (wrapper)", 0);
10548 __pyx_r = __pyx_pf_8PyClical_8clifford_82abs(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
10551 __Pyx_RefNannyFinishContext();
10555 static PyObject *__pyx_pf_8PyClical_8clifford_82abs(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
10556 PyObject *__pyx_r = NULL;
10557 __Pyx_RefNannyDeclarations
10558 PyObject *__pyx_t_1 = NULL;
10559 __Pyx_RefNannySetupContext(
"abs", 0);
10568 __Pyx_XDECREF(__pyx_r);
10569 __pyx_t_1 =
PyFloat_FromDouble(
abs(__pyx_f_8PyClical_8clifford_unwrap(__pyx_v_self)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1181, __pyx_L1_error)
10570 __Pyx_GOTREF(__pyx_t_1);
10571 __pyx_r = __pyx_t_1;
10585 __Pyx_XDECREF(__pyx_t_1);
10586 __Pyx_AddTraceback(
"PyClical.clifford.abs", __pyx_clineno, __pyx_lineno, __pyx_filename);
10589 __Pyx_XGIVEREF(__pyx_r);
10590 __Pyx_RefNannyFinishContext();
10603 static PyObject *__pyx_pw_8PyClical_8clifford_85max_abs(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
10604 static char __pyx_doc_8PyClical_8clifford_84max_abs[] =
"\n Maximum of absolute values of components of multivector: multivector infinity norm.\n\n >>> clifford(\"1+{-1}+{1,2}+{1,2,3}\").max_abs()\n 1.0\n >>> clifford(\"3+2{1}+{1,2}\").max_abs()\n 3.0\n ";
10605 static PyObject *__pyx_pw_8PyClical_8clifford_85max_abs(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
10606 PyObject *__pyx_r = 0;
10607 __Pyx_RefNannyDeclarations
10608 __Pyx_RefNannySetupContext(
"max_abs (wrapper)", 0);
10609 __pyx_r = __pyx_pf_8PyClical_8clifford_84max_abs(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
10612 __Pyx_RefNannyFinishContext();
10616 static PyObject *__pyx_pf_8PyClical_8clifford_84max_abs(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
10617 PyObject *__pyx_r = NULL;
10618 __Pyx_RefNannyDeclarations
10619 PyObject *__pyx_t_1 = NULL;
10620 __Pyx_RefNannySetupContext(
"max_abs", 0);
10629 __Pyx_XDECREF(__pyx_r);
10630 __pyx_t_1 =
PyFloat_FromDouble(__pyx_v_self->instance->max_abs());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1192, __pyx_L1_error)
10631 __Pyx_GOTREF(__pyx_t_1);
10632 __pyx_r = __pyx_t_1;
10646 __Pyx_XDECREF(__pyx_t_1);
10647 __Pyx_AddTraceback(
"PyClical.clifford.max_abs", __pyx_clineno, __pyx_lineno, __pyx_filename);
10650 __Pyx_XGIVEREF(__pyx_r);
10651 __Pyx_RefNannyFinishContext();
10664 static PyObject *__pyx_pw_8PyClical_8clifford_87truncated(PyObject *__pyx_v_self, PyObject *__pyx_v_limit);
10665 static char __pyx_doc_8PyClical_8clifford_86truncated[] =
"\n Remove all terms of self with relative size smaller than limit.\n\n >>> clifford(\"1e8+{1}+1e-8{1,2}\").truncated(1.0e-6)\n clifford(\"100000000\")\n >>> clifford(\"1e4+{1}+1e-4{1,2}\").truncated(1.0e-6)\n clifford(\"10000+{1}\")\n ";
10666 static PyObject *__pyx_pw_8PyClical_8clifford_87truncated(PyObject *__pyx_v_self, PyObject *__pyx_v_limit) {
10667 PyObject *__pyx_r = 0;
10668 __Pyx_RefNannyDeclarations
10669 __Pyx_RefNannySetupContext(
"truncated (wrapper)", 0);
10670 __pyx_r = __pyx_pf_8PyClical_8clifford_86truncated(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v_limit));
10673 __Pyx_RefNannyFinishContext();
10677 static PyObject *__pyx_pf_8PyClical_8clifford_86truncated(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_limit) {
10678 PyObject *__pyx_r = NULL;
10679 __Pyx_RefNannyDeclarations
10680 PyObject *__pyx_t_1 = NULL;
10682 PyObject *__pyx_t_3 = NULL;
10683 __Pyx_RefNannySetupContext(
"truncated", 0);
10692 __Pyx_XDECREF(__pyx_r);
10693 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1203, __pyx_L1_error)
10694 __Pyx_GOTREF(__pyx_t_1);
10695 __pyx_t_2 = __pyx_PyFloat_AsDouble(__pyx_v_limit);
if (unlikely((__pyx_t_2 == ((
scalar_t)-1)) && PyErr_Occurred())) __PYX_ERR(0, 1203, __pyx_L1_error)
10696 __pyx_t_3 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), __pyx_v_self->instance->truncated(__pyx_t_2));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1203, __pyx_L1_error)
10697 __Pyx_GOTREF(__pyx_t_3);
10698 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
10699 __pyx_r = __pyx_t_3;
10713 __Pyx_XDECREF(__pyx_t_1);
10714 __Pyx_XDECREF(__pyx_t_3);
10715 __Pyx_AddTraceback(
"PyClical.clifford.truncated", __pyx_clineno, __pyx_lineno, __pyx_filename);
10718 __Pyx_XGIVEREF(__pyx_r);
10719 __Pyx_RefNannyFinishContext();
10732 static PyObject *__pyx_pw_8PyClical_8clifford_89isnan(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
10733 static char __pyx_doc_8PyClical_8clifford_88isnan[] =
"\n Check if a multivector contains any IEEE NaN values.\n\n >>> clifford().isnan()\n False\n ";
10734 static PyObject *__pyx_pw_8PyClical_8clifford_89isnan(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
10735 PyObject *__pyx_r = 0;
10736 __Pyx_RefNannyDeclarations
10737 __Pyx_RefNannySetupContext(
"isnan (wrapper)", 0);
10738 __pyx_r = __pyx_pf_8PyClical_8clifford_88isnan(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
10741 __Pyx_RefNannyFinishContext();
10745 static PyObject *__pyx_pf_8PyClical_8clifford_88isnan(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
10746 PyObject *__pyx_r = NULL;
10747 __Pyx_RefNannyDeclarations
10748 PyObject *__pyx_t_1 = NULL;
10749 __Pyx_RefNannySetupContext(
"isnan", 0);
10758 __Pyx_XDECREF(__pyx_r);
10759 __pyx_t_1 = __Pyx_PyBool_FromLong(__pyx_v_self->instance->isnan());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1212, __pyx_L1_error)
10760 __Pyx_GOTREF(__pyx_t_1);
10761 __pyx_r = __pyx_t_1;
10775 __Pyx_XDECREF(__pyx_t_1);
10776 __Pyx_AddTraceback(
"PyClical.clifford.isnan", __pyx_clineno, __pyx_lineno, __pyx_filename);
10779 __Pyx_XGIVEREF(__pyx_r);
10780 __Pyx_RefNannyFinishContext();
10793 static PyObject *__pyx_pw_8PyClical_8clifford_91frame(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
10794 static char __pyx_doc_8PyClical_8clifford_90frame[] =
"\n Subalgebra generated by all generators of terms of given multivector.\n\n >>> print clifford(\"1+3{-1}+2{1,2}+4{-2,7}\").frame()\n {-2,-1,1,2,7}\n >>> s=clifford(\"1+3{-1}+2{1,2}+4{-2,7}\").frame(); type(s)\n <type 'PyClical.index_set'>\n ";
10795 static PyObject *__pyx_pw_8PyClical_8clifford_91frame(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
10796 PyObject *__pyx_r = 0;
10797 __Pyx_RefNannyDeclarations
10798 __Pyx_RefNannySetupContext(
"frame (wrapper)", 0);
10799 __pyx_r = __pyx_pf_8PyClical_8clifford_90frame(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
10802 __Pyx_RefNannyFinishContext();
10806 static PyObject *__pyx_pf_8PyClical_8clifford_90frame(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
10807 PyObject *__pyx_r = NULL;
10808 __Pyx_RefNannyDeclarations
10809 PyObject *__pyx_t_1 = NULL;
10810 PyObject *__pyx_t_2 = NULL;
10811 __Pyx_RefNannySetupContext(
"frame", 0);
10820 __Pyx_XDECREF(__pyx_r);
10821 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_index_set));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1223, __pyx_L1_error)
10822 __Pyx_GOTREF(__pyx_t_1);
10823 __pyx_t_2 = __pyx_f_8PyClical_9index_set_wrap(((
struct __pyx_obj_8PyClical_index_set *)__pyx_t_1), __pyx_v_self->instance->frame());
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1223, __pyx_L1_error)
10824 __Pyx_GOTREF(__pyx_t_2);
10825 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
10826 __pyx_r = __pyx_t_2;
10840 __Pyx_XDECREF(__pyx_t_1);
10841 __Pyx_XDECREF(__pyx_t_2);
10842 __Pyx_AddTraceback(
"PyClical.clifford.frame", __pyx_clineno, __pyx_lineno, __pyx_filename);
10845 __Pyx_XGIVEREF(__pyx_r);
10846 __Pyx_RefNannyFinishContext();
10859 static PyObject *__pyx_pw_8PyClical_8clifford_93__repr__(PyObject *__pyx_v_self);
10860 static char __pyx_doc_8PyClical_8clifford_92__repr__[] =
"\n The \342\200\234official\342\200\235 string representation of self.\n\n >>> clifford(\"1+3{-1}+2{1,2}+4{-2,7}\").__repr__()\n 'clifford(\"1+3{-1}+2{1,2}+4{-2,7}\")'\n ";
10861 #if CYTHON_COMPILING_IN_CPYTHON 10862 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_92__repr__;
10864 static PyObject *__pyx_pw_8PyClical_8clifford_93__repr__(PyObject *__pyx_v_self) {
10865 PyObject *__pyx_r = 0;
10866 __Pyx_RefNannyDeclarations
10867 __Pyx_RefNannySetupContext(
"__repr__ (wrapper)", 0);
10868 __pyx_r = __pyx_pf_8PyClical_8clifford_92__repr__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
10871 __Pyx_RefNannyFinishContext();
10875 static PyObject *__pyx_pf_8PyClical_8clifford_92__repr__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
10876 PyObject *__pyx_r = NULL;
10877 __Pyx_RefNannyDeclarations
10878 PyObject *__pyx_t_1 = NULL;
10879 __Pyx_RefNannySetupContext(
"__repr__", 0);
10888 __Pyx_XDECREF(__pyx_r);
10889 __pyx_t_1 = __Pyx_PyBytes_FromString(
clifford_to_repr(__pyx_f_8PyClical_8clifford_unwrap(__pyx_v_self)).c_str());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1232, __pyx_L1_error)
10890 __Pyx_GOTREF(__pyx_t_1);
10891 __pyx_r = __pyx_t_1;
10905 __Pyx_XDECREF(__pyx_t_1);
10906 __Pyx_AddTraceback(
"PyClical.clifford.__repr__", __pyx_clineno, __pyx_lineno, __pyx_filename);
10909 __Pyx_XGIVEREF(__pyx_r);
10910 __Pyx_RefNannyFinishContext();
10923 static PyObject *__pyx_pw_8PyClical_8clifford_95__str__(PyObject *__pyx_v_self);
10924 static char __pyx_doc_8PyClical_8clifford_94__str__[] =
"\n The \342\200\234informal\342\200\235 string representation of self.\n\n >>> clifford(\"1+3{-1}+2{1,2}+4{-2,7}\").__str__()\n '1+3{-1}+2{1,2}+4{-2,7}'\n ";
10925 #if CYTHON_COMPILING_IN_CPYTHON 10926 struct wrapperbase __pyx_wrapperbase_8PyClical_8clifford_94__str__;
10928 static PyObject *__pyx_pw_8PyClical_8clifford_95__str__(PyObject *__pyx_v_self) {
10929 PyObject *__pyx_r = 0;
10930 __Pyx_RefNannyDeclarations
10931 __Pyx_RefNannySetupContext(
"__str__ (wrapper)", 0);
10932 __pyx_r = __pyx_pf_8PyClical_8clifford_94__str__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
10935 __Pyx_RefNannyFinishContext();
10939 static PyObject *__pyx_pf_8PyClical_8clifford_94__str__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
10940 PyObject *__pyx_r = NULL;
10941 __Pyx_RefNannyDeclarations
10942 PyObject *__pyx_t_1 = NULL;
10943 __Pyx_RefNannySetupContext(
"__str__", 0);
10952 __Pyx_XDECREF(__pyx_r);
10953 __pyx_t_1 = __Pyx_PyBytes_FromString(
clifford_to_str(__pyx_f_8PyClical_8clifford_unwrap(__pyx_v_self)).c_str());
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1241, __pyx_L1_error)
10954 __Pyx_GOTREF(__pyx_t_1);
10955 __pyx_r = __pyx_t_1;
10969 __Pyx_XDECREF(__pyx_t_1);
10970 __Pyx_AddTraceback(
"PyClical.clifford.__str__", __pyx_clineno, __pyx_lineno, __pyx_filename);
10973 __Pyx_XGIVEREF(__pyx_r);
10974 __Pyx_RefNannyFinishContext();
10985 static PyObject *__pyx_pw_8PyClical_8clifford_97__reduce_cython__(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused);
10986 static PyObject *__pyx_pw_8PyClical_8clifford_97__reduce_cython__(PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *unused) {
10987 PyObject *__pyx_r = 0;
10988 __Pyx_RefNannyDeclarations
10989 __Pyx_RefNannySetupContext(
"__reduce_cython__ (wrapper)", 0);
10990 __pyx_r = __pyx_pf_8PyClical_8clifford_96__reduce_cython__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self));
10993 __Pyx_RefNannyFinishContext();
10997 static PyObject *__pyx_pf_8PyClical_8clifford_96__reduce_cython__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_clifford *__pyx_v_self) {
10998 PyObject *__pyx_r = NULL;
10999 __Pyx_RefNannyDeclarations
11000 PyObject *__pyx_t_1 = NULL;
11001 __Pyx_RefNannySetupContext(
"__reduce_cython__", 0);
11009 __pyx_t_1 = __Pyx_PyObject_Call(__pyx_builtin_TypeError, __pyx_tuple__11, NULL);
if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 2, __pyx_L1_error)
11010 __Pyx_GOTREF(__pyx_t_1);
11011 __Pyx_Raise(__pyx_t_1, 0, 0, 0);
11012 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11013 __PYX_ERR(1, 2, __pyx_L1_error)
11023 __Pyx_XDECREF(__pyx_t_1);
11024 __Pyx_AddTraceback(
"PyClical.clifford.__reduce_cython__", __pyx_clineno, __pyx_lineno, __pyx_filename);
11026 __Pyx_XGIVEREF(__pyx_r);
11027 __Pyx_RefNannyFinishContext();
11039 static PyObject *__pyx_pw_8PyClical_8clifford_99__setstate_cython__(PyObject *__pyx_v_self, PyObject *__pyx_v___pyx_state);
11040 static PyObject *__pyx_pw_8PyClical_8clifford_99__setstate_cython__(PyObject *__pyx_v_self, PyObject *__pyx_v___pyx_state) {
11041 PyObject *__pyx_r = 0;
11042 __Pyx_RefNannyDeclarations
11043 __Pyx_RefNannySetupContext(
"__setstate_cython__ (wrapper)", 0);
11044 __pyx_r = __pyx_pf_8PyClical_8clifford_98__setstate_cython__(((
struct __pyx_obj_8PyClical_clifford *)__pyx_v_self), ((PyObject *)__pyx_v___pyx_state));
11047 __Pyx_RefNannyFinishContext();
11051 static PyObject *__pyx_pf_8PyClical_8clifford_98__setstate_cython__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state) {
11052 PyObject *__pyx_r = NULL;
11053 __Pyx_RefNannyDeclarations
11054 PyObject *__pyx_t_1 = NULL;
11055 __Pyx_RefNannySetupContext(
"__setstate_cython__", 0);
11062 __pyx_t_1 = __Pyx_PyObject_Call(__pyx_builtin_TypeError, __pyx_tuple__12, NULL);
if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 4, __pyx_L1_error)
11063 __Pyx_GOTREF(__pyx_t_1);
11064 __Pyx_Raise(__pyx_t_1, 0, 0, 0);
11065 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11066 __PYX_ERR(1, 4, __pyx_L1_error)
11077 __Pyx_XDECREF(__pyx_t_1);
11078 __Pyx_AddTraceback(
"PyClical.clifford.__setstate_cython__", __pyx_clineno, __pyx_lineno, __pyx_filename);
11080 __Pyx_XGIVEREF(__pyx_r);
11081 __Pyx_RefNannyFinishContext();
11094 static PyObject *__pyx_pw_8PyClical_9clifford_hidden_doctests(PyObject *__pyx_self, CYTHON_UNUSED PyObject *unused);
11095 static char __pyx_doc_8PyClical_8clifford_hidden_doctests[] =
"\n Tests for functions that Doctest cannot see.\n\n For clifford.__cinit__: Construct an object of type clifford.\n\n >>> print clifford(2)\n 2\n >>> print clifford(2L)\n 2\n >>> print clifford(2.0)\n 2\n >>> print clifford(1.0e-1)\n 0.1\n >>> print clifford(\"2\")\n 2\n >>> print clifford(\"2{1,2,3}\")\n 2{1,2,3}\n >>> print clifford(clifford(\"2{1,2,3}\"))\n 2{1,2,3}\n >>> print clifford(\"-{1}\")\n -{1}\n >>> print clifford(2,index_set({1,2}))\n 2{1,2}\n >>> print clifford([2,3],index_set({1,2}))\n 2{1}+3{2}\n >>> print clifford([1,2])\n Traceback (most recent call last):\n ...\n TypeError: Cannot initialize clifford object from <type 'list'>.\n >>> print clifford(None)\n Traceback (most recent call last):\n ...\n TypeError: Cannot initialize clifford object from <type 'NoneType'>.\n >>> print clifford(None,[1,2])\n Traceback (most recent call last):\n ...\n TypeError: Cannot initialize clifford object from (<type 'NoneType'>, <type 'list'>).\n >>> print clifford([1,2],[1,2])\n Traceback (most recent call last):\n ...\n TypeError: Cannot initialize clifford object from (<type 'list'>, <type 'list'>).\n >>> print clifford(\"\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize clifford object from invalid string ''.\n >>> print clifford(\"{\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize clifford object from invalid string '{'.\n >>> print clifford(\"{1\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize clifford object from invalid string '{1'.\n >>> print clifford(\"+\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize clifford object from invalid string '+'.\n >>> print clifford(\"-\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize clifford"" object from invalid string '-'.\n >>> print clifford(\"{1}+\")\n Traceback (most recent call last):\n ...\n ValueError: Cannot initialize clifford object from invalid string '{1}+'.\n\n For clifford.__richcmp__: Compare objects of type clifford.\n\n >>> clifford(\"{1}\") == clifford(\"1{1}\")\n True\n >>> clifford(\"{1}\") != clifford(\"1.0{1}\")\n False\n >>> clifford(\"{1}\") != clifford(\"1.0\")\n True\n >>> clifford(\"{1,2}\") == None\n False\n >>> clifford(\"{1,2}\") != None\n True\n >>> None == clifford(\"{1,2}\")\n False\n >>> None != clifford(\"{1,2}\")\n True\n ";
11096 static PyMethodDef __pyx_mdef_8PyClical_9clifford_hidden_doctests = {
"clifford_hidden_doctests", (PyCFunction)__pyx_pw_8PyClical_9clifford_hidden_doctests, METH_NOARGS, __pyx_doc_8PyClical_8clifford_hidden_doctests};
11097 static PyObject *__pyx_pw_8PyClical_9clifford_hidden_doctests(PyObject *__pyx_self, CYTHON_UNUSED PyObject *unused) {
11098 PyObject *__pyx_r = 0;
11099 __Pyx_RefNannyDeclarations
11100 __Pyx_RefNannySetupContext(
"clifford_hidden_doctests (wrapper)", 0);
11101 __pyx_r = __pyx_pf_8PyClical_8clifford_hidden_doctests(__pyx_self);
11104 __Pyx_RefNannyFinishContext();
11108 static PyObject *__pyx_pf_8PyClical_8clifford_hidden_doctests(CYTHON_UNUSED PyObject *__pyx_self) {
11109 PyObject *__pyx_r = NULL;
11110 __Pyx_RefNannyDeclarations
11111 __Pyx_RefNannySetupContext(
"clifford_hidden_doctests", 0);
11120 __Pyx_XDECREF(__pyx_r);
11121 __pyx_r = Py_None; __Pyx_INCREF(Py_None);
11134 __Pyx_XGIVEREF(__pyx_r);
11135 __Pyx_RefNannyFinishContext();
11147 static PyObject *__pyx_pw_8PyClical_11inv(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11148 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_inv(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
11149 PyObject *__pyx_r = NULL;
11150 __Pyx_RefNannyDeclarations
11151 PyObject *__pyx_t_1 = NULL;
11152 PyObject *__pyx_t_2 = NULL;
11153 PyObject *__pyx_t_3 = NULL;
11154 __Pyx_RefNannySetupContext(
"inv", 0);
11163 __Pyx_XDECREF(__pyx_r);
11164 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1342, __pyx_L1_error)
11165 __Pyx_GOTREF(__pyx_t_2);
11166 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_inv);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1342, __pyx_L1_error)
11167 __Pyx_GOTREF(__pyx_t_3);
11168 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
11170 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
11171 __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
11172 if (likely(__pyx_t_2)) {
11173 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
11174 __Pyx_INCREF(__pyx_t_2);
11175 __Pyx_INCREF(
function);
11176 __Pyx_DECREF_SET(__pyx_t_3,
function);
11179 __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_2) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
11180 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
11181 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1342, __pyx_L1_error)
11182 __Pyx_GOTREF(__pyx_t_1);
11183 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
11184 __pyx_r = __pyx_t_1;
11198 __Pyx_XDECREF(__pyx_t_1);
11199 __Pyx_XDECREF(__pyx_t_2);
11200 __Pyx_XDECREF(__pyx_t_3);
11201 __Pyx_AddTraceback(
"PyClical.inv", __pyx_clineno, __pyx_lineno, __pyx_filename);
11204 __Pyx_XGIVEREF(__pyx_r);
11205 __Pyx_RefNannyFinishContext();
11210 static PyObject *__pyx_pw_8PyClical_11inv(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11211 static char __pyx_doc_8PyClical_10inv[] =
"\n Geometric multiplicative inverse.\n\n >>> print inv(clifford(\"{1}\"))\n {1}\n >>> print inv(clifford(\"{-1}\"))\n -{-1}\n >>> print inv(clifford(\"{-2,-1}\"))\n -{-2,-1}\n >>> print inv(clifford(\"{-1}+{1}\"))\n nan\n ";
11212 static PyObject *__pyx_pw_8PyClical_11inv(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11213 PyObject *__pyx_r = 0;
11214 __Pyx_RefNannyDeclarations
11215 __Pyx_RefNannySetupContext(
"inv (wrapper)", 0);
11216 __pyx_r = __pyx_pf_8PyClical_10inv(__pyx_self, ((PyObject *)__pyx_v_obj));
11219 __Pyx_RefNannyFinishContext();
11223 static PyObject *__pyx_pf_8PyClical_10inv(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11224 PyObject *__pyx_r = NULL;
11225 __Pyx_RefNannyDeclarations
11226 PyObject *__pyx_t_1 = NULL;
11227 __Pyx_RefNannySetupContext(
"inv", 0);
11228 __Pyx_XDECREF(__pyx_r);
11229 __pyx_t_1 = __pyx_f_8PyClical_inv(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1329, __pyx_L1_error)
11230 __Pyx_GOTREF(__pyx_t_1);
11231 __pyx_r = __pyx_t_1;
11237 __Pyx_XDECREF(__pyx_t_1);
11238 __Pyx_AddTraceback(
"PyClical.inv", __pyx_clineno, __pyx_lineno, __pyx_filename);
11241 __Pyx_XGIVEREF(__pyx_r);
11242 __Pyx_RefNannyFinishContext();
11254 static PyObject *__pyx_pw_8PyClical_13scalar(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11255 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_scalar(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
11256 PyObject *__pyx_r = NULL;
11257 __Pyx_RefNannyDeclarations
11258 PyObject *__pyx_t_1 = NULL;
11259 PyObject *__pyx_t_2 = NULL;
11260 PyObject *__pyx_t_3 = NULL;
11261 __Pyx_RefNannySetupContext(
"scalar", 0);
11270 __Pyx_XDECREF(__pyx_r);
11271 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1353, __pyx_L1_error)
11272 __Pyx_GOTREF(__pyx_t_2);
11273 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_scalar);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1353, __pyx_L1_error)
11274 __Pyx_GOTREF(__pyx_t_3);
11275 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
11277 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
11278 __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
11279 if (likely(__pyx_t_2)) {
11280 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
11281 __Pyx_INCREF(__pyx_t_2);
11282 __Pyx_INCREF(
function);
11283 __Pyx_DECREF_SET(__pyx_t_3,
function);
11286 __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_2) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
11287 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
11288 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1353, __pyx_L1_error)
11289 __Pyx_GOTREF(__pyx_t_1);
11290 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
11291 __pyx_r = __pyx_t_1;
11305 __Pyx_XDECREF(__pyx_t_1);
11306 __Pyx_XDECREF(__pyx_t_2);
11307 __Pyx_XDECREF(__pyx_t_3);
11308 __Pyx_AddTraceback(
"PyClical.scalar", __pyx_clineno, __pyx_lineno, __pyx_filename);
11311 __Pyx_XGIVEREF(__pyx_r);
11312 __Pyx_RefNannyFinishContext();
11317 static PyObject *__pyx_pw_8PyClical_13scalar(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11318 static char __pyx_doc_8PyClical_12scalar[] =
"\n Scalar part.\n\n >>> scalar(clifford(\"1+{1}+{1,2}\"))\n 1.0\n >>> scalar(clifford(\"{1,2}\"))\n 0.0\n ";
11319 static PyObject *__pyx_pw_8PyClical_13scalar(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11320 PyObject *__pyx_r = 0;
11321 __Pyx_RefNannyDeclarations
11322 __Pyx_RefNannySetupContext(
"scalar (wrapper)", 0);
11323 __pyx_r = __pyx_pf_8PyClical_12scalar(__pyx_self, ((PyObject *)__pyx_v_obj));
11326 __Pyx_RefNannyFinishContext();
11330 static PyObject *__pyx_pf_8PyClical_12scalar(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11331 PyObject *__pyx_r = NULL;
11332 __Pyx_RefNannyDeclarations
11333 PyObject *__pyx_t_1 = NULL;
11334 __Pyx_RefNannySetupContext(
"scalar", 0);
11335 __Pyx_XDECREF(__pyx_r);
11336 __pyx_t_1 = __pyx_f_8PyClical_scalar(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1344, __pyx_L1_error)
11337 __Pyx_GOTREF(__pyx_t_1);
11338 __pyx_r = __pyx_t_1;
11344 __Pyx_XDECREF(__pyx_t_1);
11345 __Pyx_AddTraceback(
"PyClical.scalar", __pyx_clineno, __pyx_lineno, __pyx_filename);
11348 __Pyx_XGIVEREF(__pyx_r);
11349 __Pyx_RefNannyFinishContext();
11361 static PyObject *__pyx_pw_8PyClical_15real(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11362 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_real(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
11363 PyObject *__pyx_r = NULL;
11364 __Pyx_RefNannyDeclarations
11365 PyObject *__pyx_t_1 = NULL;
11366 PyObject *__pyx_t_2 = NULL;
11367 PyObject *__pyx_t_3 = NULL;
11368 __Pyx_RefNannySetupContext(
"real", 0);
11377 __Pyx_XDECREF(__pyx_r);
11378 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1364, __pyx_L1_error)
11379 __Pyx_GOTREF(__pyx_t_2);
11380 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_scalar);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1364, __pyx_L1_error)
11381 __Pyx_GOTREF(__pyx_t_3);
11382 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
11384 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
11385 __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
11386 if (likely(__pyx_t_2)) {
11387 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
11388 __Pyx_INCREF(__pyx_t_2);
11389 __Pyx_INCREF(
function);
11390 __Pyx_DECREF_SET(__pyx_t_3,
function);
11393 __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_2) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
11394 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
11395 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1364, __pyx_L1_error)
11396 __Pyx_GOTREF(__pyx_t_1);
11397 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
11398 __pyx_r = __pyx_t_1;
11412 __Pyx_XDECREF(__pyx_t_1);
11413 __Pyx_XDECREF(__pyx_t_2);
11414 __Pyx_XDECREF(__pyx_t_3);
11415 __Pyx_AddTraceback(
"PyClical.real", __pyx_clineno, __pyx_lineno, __pyx_filename);
11418 __Pyx_XGIVEREF(__pyx_r);
11419 __Pyx_RefNannyFinishContext();
11424 static PyObject *__pyx_pw_8PyClical_15real(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11425 static char __pyx_doc_8PyClical_14real[] =
"\n Real part: synonym for scalar part.\n\n >>> real(clifford(\"1+{1}+{1,2}\"))\n 1.0\n >>> real(clifford(\"{1,2}\"))\n 0.0\n ";
11426 static PyObject *__pyx_pw_8PyClical_15real(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11427 PyObject *__pyx_r = 0;
11428 __Pyx_RefNannyDeclarations
11429 __Pyx_RefNannySetupContext(
"real (wrapper)", 0);
11430 __pyx_r = __pyx_pf_8PyClical_14real(__pyx_self, ((PyObject *)__pyx_v_obj));
11433 __Pyx_RefNannyFinishContext();
11437 static PyObject *__pyx_pf_8PyClical_14real(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11438 PyObject *__pyx_r = NULL;
11439 __Pyx_RefNannyDeclarations
11440 PyObject *__pyx_t_1 = NULL;
11441 __Pyx_RefNannySetupContext(
"real", 0);
11442 __Pyx_XDECREF(__pyx_r);
11443 __pyx_t_1 = __pyx_f_8PyClical_real(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1355, __pyx_L1_error)
11444 __Pyx_GOTREF(__pyx_t_1);
11445 __pyx_r = __pyx_t_1;
11451 __Pyx_XDECREF(__pyx_t_1);
11452 __Pyx_AddTraceback(
"PyClical.real", __pyx_clineno, __pyx_lineno, __pyx_filename);
11455 __Pyx_XGIVEREF(__pyx_r);
11456 __Pyx_RefNannyFinishContext();
11468 static PyObject *__pyx_pw_8PyClical_17imag(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11469 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_imag(CYTHON_UNUSED PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
11470 PyObject *__pyx_r = NULL;
11471 __Pyx_RefNannyDeclarations
11472 __Pyx_RefNannySetupContext(
"imag", 0);
11481 __Pyx_XDECREF(__pyx_r);
11482 __Pyx_INCREF(__pyx_float_0_0);
11483 __pyx_r = __pyx_float_0_0;
11496 __Pyx_XGIVEREF(__pyx_r);
11497 __Pyx_RefNannyFinishContext();
11502 static PyObject *__pyx_pw_8PyClical_17imag(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11503 static char __pyx_doc_8PyClical_16imag[] =
"\n Imaginary part: deprecated (always 0).\n\n >>> imag(clifford(\"1+{1}+{1,2}\"))\n 0.0\n >>> imag(clifford(\"{1,2}\"))\n 0.0\n ";
11504 static PyObject *__pyx_pw_8PyClical_17imag(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11505 PyObject *__pyx_r = 0;
11506 __Pyx_RefNannyDeclarations
11507 __Pyx_RefNannySetupContext(
"imag (wrapper)", 0);
11508 __pyx_r = __pyx_pf_8PyClical_16imag(__pyx_self, ((PyObject *)__pyx_v_obj));
11511 __Pyx_RefNannyFinishContext();
11515 static PyObject *__pyx_pf_8PyClical_16imag(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11516 PyObject *__pyx_r = NULL;
11517 __Pyx_RefNannyDeclarations
11518 PyObject *__pyx_t_1 = NULL;
11519 __Pyx_RefNannySetupContext(
"imag", 0);
11520 __Pyx_XDECREF(__pyx_r);
11521 __pyx_t_1 = __pyx_f_8PyClical_imag(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1366, __pyx_L1_error)
11522 __Pyx_GOTREF(__pyx_t_1);
11523 __pyx_r = __pyx_t_1;
11529 __Pyx_XDECREF(__pyx_t_1);
11530 __Pyx_AddTraceback(
"PyClical.imag", __pyx_clineno, __pyx_lineno, __pyx_filename);
11533 __Pyx_XGIVEREF(__pyx_r);
11534 __Pyx_RefNannyFinishContext();
11546 static PyObject *__pyx_pw_8PyClical_19pure(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11547 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_pure(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
11548 PyObject *__pyx_r = NULL;
11549 __Pyx_RefNannyDeclarations
11550 PyObject *__pyx_t_1 = NULL;
11551 PyObject *__pyx_t_2 = NULL;
11552 PyObject *__pyx_t_3 = NULL;
11553 __Pyx_RefNannySetupContext(
"pure", 0);
11562 __Pyx_XDECREF(__pyx_r);
11563 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1386, __pyx_L1_error)
11564 __Pyx_GOTREF(__pyx_t_2);
11565 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_pure);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1386, __pyx_L1_error)
11566 __Pyx_GOTREF(__pyx_t_3);
11567 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
11569 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
11570 __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
11571 if (likely(__pyx_t_2)) {
11572 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
11573 __Pyx_INCREF(__pyx_t_2);
11574 __Pyx_INCREF(
function);
11575 __Pyx_DECREF_SET(__pyx_t_3,
function);
11578 __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_2) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
11579 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
11580 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1386, __pyx_L1_error)
11581 __Pyx_GOTREF(__pyx_t_1);
11582 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
11583 __pyx_r = __pyx_t_1;
11597 __Pyx_XDECREF(__pyx_t_1);
11598 __Pyx_XDECREF(__pyx_t_2);
11599 __Pyx_XDECREF(__pyx_t_3);
11600 __Pyx_AddTraceback(
"PyClical.pure", __pyx_clineno, __pyx_lineno, __pyx_filename);
11603 __Pyx_XGIVEREF(__pyx_r);
11604 __Pyx_RefNannyFinishContext();
11609 static PyObject *__pyx_pw_8PyClical_19pure(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11610 static char __pyx_doc_8PyClical_18pure[] =
"\n Pure part\n\n >>> print pure(clifford(\"1+{1}+{1,2}\"))\n {1}+{1,2}\n >>> print pure(clifford(\"{1,2}\"))\n {1,2}\n ";
11611 static PyObject *__pyx_pw_8PyClical_19pure(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11612 PyObject *__pyx_r = 0;
11613 __Pyx_RefNannyDeclarations
11614 __Pyx_RefNannySetupContext(
"pure (wrapper)", 0);
11615 __pyx_r = __pyx_pf_8PyClical_18pure(__pyx_self, ((PyObject *)__pyx_v_obj));
11618 __Pyx_RefNannyFinishContext();
11622 static PyObject *__pyx_pf_8PyClical_18pure(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11623 PyObject *__pyx_r = NULL;
11624 __Pyx_RefNannyDeclarations
11625 PyObject *__pyx_t_1 = NULL;
11626 __Pyx_RefNannySetupContext(
"pure", 0);
11627 __Pyx_XDECREF(__pyx_r);
11628 __pyx_t_1 = __pyx_f_8PyClical_pure(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1377, __pyx_L1_error)
11629 __Pyx_GOTREF(__pyx_t_1);
11630 __pyx_r = __pyx_t_1;
11636 __Pyx_XDECREF(__pyx_t_1);
11637 __Pyx_AddTraceback(
"PyClical.pure", __pyx_clineno, __pyx_lineno, __pyx_filename);
11640 __Pyx_XGIVEREF(__pyx_r);
11641 __Pyx_RefNannyFinishContext();
11653 static PyObject *__pyx_pw_8PyClical_21even(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11654 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_even(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
11655 PyObject *__pyx_r = NULL;
11656 __Pyx_RefNannyDeclarations
11657 PyObject *__pyx_t_1 = NULL;
11658 PyObject *__pyx_t_2 = NULL;
11659 PyObject *__pyx_t_3 = NULL;
11660 __Pyx_RefNannySetupContext(
"even", 0);
11669 __Pyx_XDECREF(__pyx_r);
11670 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1395, __pyx_L1_error)
11671 __Pyx_GOTREF(__pyx_t_2);
11672 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_even);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1395, __pyx_L1_error)
11673 __Pyx_GOTREF(__pyx_t_3);
11674 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
11676 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
11677 __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
11678 if (likely(__pyx_t_2)) {
11679 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
11680 __Pyx_INCREF(__pyx_t_2);
11681 __Pyx_INCREF(
function);
11682 __Pyx_DECREF_SET(__pyx_t_3,
function);
11685 __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_2) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
11686 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
11687 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1395, __pyx_L1_error)
11688 __Pyx_GOTREF(__pyx_t_1);
11689 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
11690 __pyx_r = __pyx_t_1;
11704 __Pyx_XDECREF(__pyx_t_1);
11705 __Pyx_XDECREF(__pyx_t_2);
11706 __Pyx_XDECREF(__pyx_t_3);
11707 __Pyx_AddTraceback(
"PyClical.even", __pyx_clineno, __pyx_lineno, __pyx_filename);
11710 __Pyx_XGIVEREF(__pyx_r);
11711 __Pyx_RefNannyFinishContext();
11716 static PyObject *__pyx_pw_8PyClical_21even(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11717 static char __pyx_doc_8PyClical_20even[] =
"\n Even part of multivector, sum of even grade terms.\n\n >>> print even(clifford(\"1+{1}+{1,2}\"))\n 1+{1,2}\n ";
11718 static PyObject *__pyx_pw_8PyClical_21even(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11719 PyObject *__pyx_r = 0;
11720 __Pyx_RefNannyDeclarations
11721 __Pyx_RefNannySetupContext(
"even (wrapper)", 0);
11722 __pyx_r = __pyx_pf_8PyClical_20even(__pyx_self, ((PyObject *)__pyx_v_obj));
11725 __Pyx_RefNannyFinishContext();
11729 static PyObject *__pyx_pf_8PyClical_20even(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11730 PyObject *__pyx_r = NULL;
11731 __Pyx_RefNannyDeclarations
11732 PyObject *__pyx_t_1 = NULL;
11733 __Pyx_RefNannySetupContext(
"even", 0);
11734 __Pyx_XDECREF(__pyx_r);
11735 __pyx_t_1 = __pyx_f_8PyClical_even(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1388, __pyx_L1_error)
11736 __Pyx_GOTREF(__pyx_t_1);
11737 __pyx_r = __pyx_t_1;
11743 __Pyx_XDECREF(__pyx_t_1);
11744 __Pyx_AddTraceback(
"PyClical.even", __pyx_clineno, __pyx_lineno, __pyx_filename);
11747 __Pyx_XGIVEREF(__pyx_r);
11748 __Pyx_RefNannyFinishContext();
11760 static PyObject *__pyx_pw_8PyClical_23odd(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11761 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_odd(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
11762 PyObject *__pyx_r = NULL;
11763 __Pyx_RefNannyDeclarations
11764 PyObject *__pyx_t_1 = NULL;
11765 PyObject *__pyx_t_2 = NULL;
11766 PyObject *__pyx_t_3 = NULL;
11767 __Pyx_RefNannySetupContext(
"odd", 0);
11776 __Pyx_XDECREF(__pyx_r);
11777 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1404, __pyx_L1_error)
11778 __Pyx_GOTREF(__pyx_t_2);
11779 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_odd);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1404, __pyx_L1_error)
11780 __Pyx_GOTREF(__pyx_t_3);
11781 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
11783 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
11784 __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
11785 if (likely(__pyx_t_2)) {
11786 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
11787 __Pyx_INCREF(__pyx_t_2);
11788 __Pyx_INCREF(
function);
11789 __Pyx_DECREF_SET(__pyx_t_3,
function);
11792 __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_2) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
11793 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
11794 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1404, __pyx_L1_error)
11795 __Pyx_GOTREF(__pyx_t_1);
11796 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
11797 __pyx_r = __pyx_t_1;
11811 __Pyx_XDECREF(__pyx_t_1);
11812 __Pyx_XDECREF(__pyx_t_2);
11813 __Pyx_XDECREF(__pyx_t_3);
11814 __Pyx_AddTraceback(
"PyClical.odd", __pyx_clineno, __pyx_lineno, __pyx_filename);
11817 __Pyx_XGIVEREF(__pyx_r);
11818 __Pyx_RefNannyFinishContext();
11823 static PyObject *__pyx_pw_8PyClical_23odd(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11824 static char __pyx_doc_8PyClical_22odd[] =
"\n Odd part of multivector, sum of odd grade terms.\n\n >>> print odd(clifford(\"1+{1}+{1,2}\"))\n {1}\n ";
11825 static PyObject *__pyx_pw_8PyClical_23odd(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11826 PyObject *__pyx_r = 0;
11827 __Pyx_RefNannyDeclarations
11828 __Pyx_RefNannySetupContext(
"odd (wrapper)", 0);
11829 __pyx_r = __pyx_pf_8PyClical_22odd(__pyx_self, ((PyObject *)__pyx_v_obj));
11832 __Pyx_RefNannyFinishContext();
11836 static PyObject *__pyx_pf_8PyClical_22odd(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11837 PyObject *__pyx_r = NULL;
11838 __Pyx_RefNannyDeclarations
11839 PyObject *__pyx_t_1 = NULL;
11840 __Pyx_RefNannySetupContext(
"odd", 0);
11841 __Pyx_XDECREF(__pyx_r);
11842 __pyx_t_1 = __pyx_f_8PyClical_odd(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1397, __pyx_L1_error)
11843 __Pyx_GOTREF(__pyx_t_1);
11844 __pyx_r = __pyx_t_1;
11850 __Pyx_XDECREF(__pyx_t_1);
11851 __Pyx_AddTraceback(
"PyClical.odd", __pyx_clineno, __pyx_lineno, __pyx_filename);
11854 __Pyx_XGIVEREF(__pyx_r);
11855 __Pyx_RefNannyFinishContext();
11867 static PyObject *__pyx_pw_8PyClical_25involute(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11868 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_involute(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
11869 PyObject *__pyx_r = NULL;
11870 __Pyx_RefNannyDeclarations
11871 PyObject *__pyx_t_1 = NULL;
11872 PyObject *__pyx_t_2 = NULL;
11873 PyObject *__pyx_t_3 = NULL;
11874 __Pyx_RefNannySetupContext(
"involute", 0);
11883 __Pyx_XDECREF(__pyx_r);
11884 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1419, __pyx_L1_error)
11885 __Pyx_GOTREF(__pyx_t_2);
11886 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_involute);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1419, __pyx_L1_error)
11887 __Pyx_GOTREF(__pyx_t_3);
11888 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
11890 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
11891 __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
11892 if (likely(__pyx_t_2)) {
11893 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
11894 __Pyx_INCREF(__pyx_t_2);
11895 __Pyx_INCREF(
function);
11896 __Pyx_DECREF_SET(__pyx_t_3,
function);
11899 __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_2) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
11900 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
11901 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1419, __pyx_L1_error)
11902 __Pyx_GOTREF(__pyx_t_1);
11903 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
11904 __pyx_r = __pyx_t_1;
11918 __Pyx_XDECREF(__pyx_t_1);
11919 __Pyx_XDECREF(__pyx_t_2);
11920 __Pyx_XDECREF(__pyx_t_3);
11921 __Pyx_AddTraceback(
"PyClical.involute", __pyx_clineno, __pyx_lineno, __pyx_filename);
11924 __Pyx_XGIVEREF(__pyx_r);
11925 __Pyx_RefNannyFinishContext();
11930 static PyObject *__pyx_pw_8PyClical_25involute(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11931 static char __pyx_doc_8PyClical_24involute[] =
"\n Main involution, each {i} is replaced by -{i} in each term, eg. {1}*{2} -> (-{2})*(-{1})\n\n >>> print involute(clifford(\"{1}\"))\n -{1}\n >>> print involute(clifford(\"{2}\") * clifford(\"{1}\"))\n -{1,2}\n >>> print involute(clifford(\"{1}\") * clifford(\"{2}\"))\n {1,2}\n >>> print involute(clifford(\"1+{1}+{1,2}\"))\n 1-{1}+{1,2}\n ";
11932 static PyObject *__pyx_pw_8PyClical_25involute(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11933 PyObject *__pyx_r = 0;
11934 __Pyx_RefNannyDeclarations
11935 __Pyx_RefNannySetupContext(
"involute (wrapper)", 0);
11936 __pyx_r = __pyx_pf_8PyClical_24involute(__pyx_self, ((PyObject *)__pyx_v_obj));
11939 __Pyx_RefNannyFinishContext();
11943 static PyObject *__pyx_pf_8PyClical_24involute(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
11944 PyObject *__pyx_r = NULL;
11945 __Pyx_RefNannyDeclarations
11946 PyObject *__pyx_t_1 = NULL;
11947 __Pyx_RefNannySetupContext(
"involute", 0);
11948 __Pyx_XDECREF(__pyx_r);
11949 __pyx_t_1 = __pyx_f_8PyClical_involute(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1406, __pyx_L1_error)
11950 __Pyx_GOTREF(__pyx_t_1);
11951 __pyx_r = __pyx_t_1;
11957 __Pyx_XDECREF(__pyx_t_1);
11958 __Pyx_AddTraceback(
"PyClical.involute", __pyx_clineno, __pyx_lineno, __pyx_filename);
11961 __Pyx_XGIVEREF(__pyx_r);
11962 __Pyx_RefNannyFinishContext();
11974 static PyObject *__pyx_pw_8PyClical_27reverse(PyObject *__pyx_self, PyObject *__pyx_v_obj);
11975 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_reverse(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
11976 PyObject *__pyx_r = NULL;
11977 __Pyx_RefNannyDeclarations
11978 PyObject *__pyx_t_1 = NULL;
11979 PyObject *__pyx_t_2 = NULL;
11980 PyObject *__pyx_t_3 = NULL;
11981 __Pyx_RefNannySetupContext(
"reverse", 0);
11990 __Pyx_XDECREF(__pyx_r);
11991 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1434, __pyx_L1_error)
11992 __Pyx_GOTREF(__pyx_t_2);
11993 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_reverse);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1434, __pyx_L1_error)
11994 __Pyx_GOTREF(__pyx_t_3);
11995 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
11997 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
11998 __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
11999 if (likely(__pyx_t_2)) {
12000 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
12001 __Pyx_INCREF(__pyx_t_2);
12002 __Pyx_INCREF(
function);
12003 __Pyx_DECREF_SET(__pyx_t_3,
function);
12006 __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_2) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
12007 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
12008 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1434, __pyx_L1_error)
12009 __Pyx_GOTREF(__pyx_t_1);
12010 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
12011 __pyx_r = __pyx_t_1;
12025 __Pyx_XDECREF(__pyx_t_1);
12026 __Pyx_XDECREF(__pyx_t_2);
12027 __Pyx_XDECREF(__pyx_t_3);
12028 __Pyx_AddTraceback(
"PyClical.reverse", __pyx_clineno, __pyx_lineno, __pyx_filename);
12031 __Pyx_XGIVEREF(__pyx_r);
12032 __Pyx_RefNannyFinishContext();
12037 static PyObject *__pyx_pw_8PyClical_27reverse(PyObject *__pyx_self, PyObject *__pyx_v_obj);
12038 static char __pyx_doc_8PyClical_26reverse[] =
"\n Reversion, eg. {1}*{2} -> {2}*{1}\n\n >>> print reverse(clifford(\"{1}\"))\n {1}\n >>> print reverse(clifford(\"{2}\") * clifford(\"{1}\"))\n {1,2}\n >>> print reverse(clifford(\"{1}\") * clifford(\"{2}\"))\n -{1,2}\n >>> print reverse(clifford(\"1+{1}+{1,2}\"))\n 1+{1}-{1,2}\n ";
12039 static PyObject *__pyx_pw_8PyClical_27reverse(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
12040 PyObject *__pyx_r = 0;
12041 __Pyx_RefNannyDeclarations
12042 __Pyx_RefNannySetupContext(
"reverse (wrapper)", 0);
12043 __pyx_r = __pyx_pf_8PyClical_26reverse(__pyx_self, ((PyObject *)__pyx_v_obj));
12046 __Pyx_RefNannyFinishContext();
12050 static PyObject *__pyx_pf_8PyClical_26reverse(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
12051 PyObject *__pyx_r = NULL;
12052 __Pyx_RefNannyDeclarations
12053 PyObject *__pyx_t_1 = NULL;
12054 __Pyx_RefNannySetupContext(
"reverse", 0);
12055 __Pyx_XDECREF(__pyx_r);
12056 __pyx_t_1 = __pyx_f_8PyClical_reverse(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1421, __pyx_L1_error)
12057 __Pyx_GOTREF(__pyx_t_1);
12058 __pyx_r = __pyx_t_1;
12064 __Pyx_XDECREF(__pyx_t_1);
12065 __Pyx_AddTraceback(
"PyClical.reverse", __pyx_clineno, __pyx_lineno, __pyx_filename);
12068 __Pyx_XGIVEREF(__pyx_r);
12069 __Pyx_RefNannyFinishContext();
12081 static PyObject *__pyx_pw_8PyClical_29conj(PyObject *__pyx_self, PyObject *__pyx_v_obj);
12082 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_conj(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
12083 PyObject *__pyx_r = NULL;
12084 __Pyx_RefNannyDeclarations
12085 PyObject *__pyx_t_1 = NULL;
12086 PyObject *__pyx_t_2 = NULL;
12087 PyObject *__pyx_t_3 = NULL;
12088 __Pyx_RefNannySetupContext(
"conj", 0);
12097 __Pyx_XDECREF(__pyx_r);
12098 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1449, __pyx_L1_error)
12099 __Pyx_GOTREF(__pyx_t_2);
12100 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_conj);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1449, __pyx_L1_error)
12101 __Pyx_GOTREF(__pyx_t_3);
12102 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
12104 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
12105 __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
12106 if (likely(__pyx_t_2)) {
12107 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
12108 __Pyx_INCREF(__pyx_t_2);
12109 __Pyx_INCREF(
function);
12110 __Pyx_DECREF_SET(__pyx_t_3,
function);
12113 __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_2) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
12114 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
12115 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1449, __pyx_L1_error)
12116 __Pyx_GOTREF(__pyx_t_1);
12117 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
12118 __pyx_r = __pyx_t_1;
12132 __Pyx_XDECREF(__pyx_t_1);
12133 __Pyx_XDECREF(__pyx_t_2);
12134 __Pyx_XDECREF(__pyx_t_3);
12135 __Pyx_AddTraceback(
"PyClical.conj", __pyx_clineno, __pyx_lineno, __pyx_filename);
12138 __Pyx_XGIVEREF(__pyx_r);
12139 __Pyx_RefNannyFinishContext();
12144 static PyObject *__pyx_pw_8PyClical_29conj(PyObject *__pyx_self, PyObject *__pyx_v_obj);
12145 static char __pyx_doc_8PyClical_28conj[] =
"\n Conjugation, reverse o involute == involute o reverse.\n\n >>> print conj(clifford(\"{1}\"))\n -{1}\n >>> print conj(clifford(\"{2}\") * clifford(\"{1}\"))\n {1,2}\n >>> print conj(clifford(\"{1}\") * clifford(\"{2}\"))\n -{1,2}\n >>> print conj(clifford(\"1+{1}+{1,2}\"))\n 1-{1}-{1,2}\n ";
12146 static PyObject *__pyx_pw_8PyClical_29conj(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
12147 PyObject *__pyx_r = 0;
12148 __Pyx_RefNannyDeclarations
12149 __Pyx_RefNannySetupContext(
"conj (wrapper)", 0);
12150 __pyx_r = __pyx_pf_8PyClical_28conj(__pyx_self, ((PyObject *)__pyx_v_obj));
12153 __Pyx_RefNannyFinishContext();
12157 static PyObject *__pyx_pf_8PyClical_28conj(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
12158 PyObject *__pyx_r = NULL;
12159 __Pyx_RefNannyDeclarations
12160 PyObject *__pyx_t_1 = NULL;
12161 __Pyx_RefNannySetupContext(
"conj", 0);
12162 __Pyx_XDECREF(__pyx_r);
12163 __pyx_t_1 = __pyx_f_8PyClical_conj(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1436, __pyx_L1_error)
12164 __Pyx_GOTREF(__pyx_t_1);
12165 __pyx_r = __pyx_t_1;
12171 __Pyx_XDECREF(__pyx_t_1);
12172 __Pyx_AddTraceback(
"PyClical.conj", __pyx_clineno, __pyx_lineno, __pyx_filename);
12175 __Pyx_XGIVEREF(__pyx_r);
12176 __Pyx_RefNannyFinishContext();
12188 static PyObject *__pyx_pw_8PyClical_31quad(PyObject *__pyx_self, PyObject *__pyx_v_obj);
12189 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_quad(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
12190 PyObject *__pyx_r = NULL;
12191 __Pyx_RefNannyDeclarations
12192 PyObject *__pyx_t_1 = NULL;
12193 PyObject *__pyx_t_2 = NULL;
12194 PyObject *__pyx_t_3 = NULL;
12195 __Pyx_RefNannySetupContext(
"quad", 0);
12204 __Pyx_XDECREF(__pyx_r);
12205 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1460, __pyx_L1_error)
12206 __Pyx_GOTREF(__pyx_t_2);
12207 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_quad);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1460, __pyx_L1_error)
12208 __Pyx_GOTREF(__pyx_t_3);
12209 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
12211 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
12212 __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
12213 if (likely(__pyx_t_2)) {
12214 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
12215 __Pyx_INCREF(__pyx_t_2);
12216 __Pyx_INCREF(
function);
12217 __Pyx_DECREF_SET(__pyx_t_3,
function);
12220 __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_2) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
12221 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
12222 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1460, __pyx_L1_error)
12223 __Pyx_GOTREF(__pyx_t_1);
12224 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
12225 __pyx_r = __pyx_t_1;
12239 __Pyx_XDECREF(__pyx_t_1);
12240 __Pyx_XDECREF(__pyx_t_2);
12241 __Pyx_XDECREF(__pyx_t_3);
12242 __Pyx_AddTraceback(
"PyClical.quad", __pyx_clineno, __pyx_lineno, __pyx_filename);
12245 __Pyx_XGIVEREF(__pyx_r);
12246 __Pyx_RefNannyFinishContext();
12251 static PyObject *__pyx_pw_8PyClical_31quad(PyObject *__pyx_self, PyObject *__pyx_v_obj);
12252 static char __pyx_doc_8PyClical_30quad[] =
"\n Quadratic form == (rev(x)*x)(0).\n\n >>> print quad(clifford(\"1+{1}+{1,2}\"))\n 3.0\n >>> print quad(clifford(\"1+{-1}+{1,2}+{1,2,3}\"))\n 2.0\n ";
12253 static PyObject *__pyx_pw_8PyClical_31quad(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
12254 PyObject *__pyx_r = 0;
12255 __Pyx_RefNannyDeclarations
12256 __Pyx_RefNannySetupContext(
"quad (wrapper)", 0);
12257 __pyx_r = __pyx_pf_8PyClical_30quad(__pyx_self, ((PyObject *)__pyx_v_obj));
12260 __Pyx_RefNannyFinishContext();
12264 static PyObject *__pyx_pf_8PyClical_30quad(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
12265 PyObject *__pyx_r = NULL;
12266 __Pyx_RefNannyDeclarations
12267 PyObject *__pyx_t_1 = NULL;
12268 __Pyx_RefNannySetupContext(
"quad", 0);
12269 __Pyx_XDECREF(__pyx_r);
12270 __pyx_t_1 = __pyx_f_8PyClical_quad(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1451, __pyx_L1_error)
12271 __Pyx_GOTREF(__pyx_t_1);
12272 __pyx_r = __pyx_t_1;
12278 __Pyx_XDECREF(__pyx_t_1);
12279 __Pyx_AddTraceback(
"PyClical.quad", __pyx_clineno, __pyx_lineno, __pyx_filename);
12282 __Pyx_XGIVEREF(__pyx_r);
12283 __Pyx_RefNannyFinishContext();
12295 static PyObject *__pyx_pw_8PyClical_33norm(PyObject *__pyx_self, PyObject *__pyx_v_obj);
12296 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_norm(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
12297 PyObject *__pyx_r = NULL;
12298 __Pyx_RefNannyDeclarations
12299 PyObject *__pyx_t_1 = NULL;
12300 PyObject *__pyx_t_2 = NULL;
12301 PyObject *__pyx_t_3 = NULL;
12302 __Pyx_RefNannySetupContext(
"norm", 0);
12311 __Pyx_XDECREF(__pyx_r);
12312 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1471, __pyx_L1_error)
12313 __Pyx_GOTREF(__pyx_t_2);
12314 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_norm);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1471, __pyx_L1_error)
12315 __Pyx_GOTREF(__pyx_t_3);
12316 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
12318 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
12319 __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
12320 if (likely(__pyx_t_2)) {
12321 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
12322 __Pyx_INCREF(__pyx_t_2);
12323 __Pyx_INCREF(
function);
12324 __Pyx_DECREF_SET(__pyx_t_3,
function);
12327 __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_2) : __Pyx_PyObject_CallNoArg(__pyx_t_3);
12328 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
12329 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1471, __pyx_L1_error)
12330 __Pyx_GOTREF(__pyx_t_1);
12331 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
12332 __pyx_r = __pyx_t_1;
12346 __Pyx_XDECREF(__pyx_t_1);
12347 __Pyx_XDECREF(__pyx_t_2);
12348 __Pyx_XDECREF(__pyx_t_3);
12349 __Pyx_AddTraceback(
"PyClical.norm", __pyx_clineno, __pyx_lineno, __pyx_filename);
12352 __Pyx_XGIVEREF(__pyx_r);
12353 __Pyx_RefNannyFinishContext();
12358 static PyObject *__pyx_pw_8PyClical_33norm(PyObject *__pyx_self, PyObject *__pyx_v_obj);
12359 static char __pyx_doc_8PyClical_32norm[] =
"\n norm == sum of squares of coordinates.\n\n >>> norm(clifford(\"1+{1}+{1,2}\"))\n 3.0\n >>> norm(clifford(\"1+{-1}+{1,2}+{1,2,3}\"))\n 4.0\n ";
12360 static PyObject *__pyx_pw_8PyClical_33norm(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
12361 PyObject *__pyx_r = 0;
12362 __Pyx_RefNannyDeclarations
12363 __Pyx_RefNannySetupContext(
"norm (wrapper)", 0);
12364 __pyx_r = __pyx_pf_8PyClical_32norm(__pyx_self, ((PyObject *)__pyx_v_obj));
12367 __Pyx_RefNannyFinishContext();
12371 static PyObject *__pyx_pf_8PyClical_32norm(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
12372 PyObject *__pyx_r = NULL;
12373 __Pyx_RefNannyDeclarations
12374 PyObject *__pyx_t_1 = NULL;
12375 __Pyx_RefNannySetupContext(
"norm", 0);
12376 __Pyx_XDECREF(__pyx_r);
12377 __pyx_t_1 = __pyx_f_8PyClical_norm(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1462, __pyx_L1_error)
12378 __Pyx_GOTREF(__pyx_t_1);
12379 __pyx_r = __pyx_t_1;
12385 __Pyx_XDECREF(__pyx_t_1);
12386 __Pyx_AddTraceback(
"PyClical.norm", __pyx_clineno, __pyx_lineno, __pyx_filename);
12389 __Pyx_XGIVEREF(__pyx_r);
12390 __Pyx_RefNannyFinishContext();
12402 static PyObject *__pyx_pw_8PyClical_35abs(PyObject *__pyx_self, PyObject *__pyx_v_obj);
12403 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_abs(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
12404 PyObject *__pyx_r = NULL;
12405 __Pyx_RefNannyDeclarations
12406 PyObject *__pyx_t_1 = NULL;
12407 __Pyx_RefNannySetupContext(
"abs", 0);
12416 __Pyx_XDECREF(__pyx_r);
12417 __pyx_t_1 =
PyFloat_FromDouble(
abs(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1480, __pyx_L1_error)
12418 __Pyx_GOTREF(__pyx_t_1);
12419 __pyx_r = __pyx_t_1;
12433 __Pyx_XDECREF(__pyx_t_1);
12434 __Pyx_AddTraceback(
"PyClical.abs", __pyx_clineno, __pyx_lineno, __pyx_filename);
12437 __Pyx_XGIVEREF(__pyx_r);
12438 __Pyx_RefNannyFinishContext();
12443 static PyObject *__pyx_pw_8PyClical_35abs(PyObject *__pyx_self, PyObject *__pyx_v_obj);
12444 static char __pyx_doc_8PyClical_34abs[] =
"\n Absolute value of multivector: multivector 2-norm.\n\n >>> abs(clifford(\"1+{-1}+{1,2}+{1,2,3}\"))\n 2.0\n ";
12445 static PyObject *__pyx_pw_8PyClical_35abs(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
12446 PyObject *__pyx_r = 0;
12447 __Pyx_RefNannyDeclarations
12448 __Pyx_RefNannySetupContext(
"abs (wrapper)", 0);
12449 __pyx_r = __pyx_pf_8PyClical_34abs(__pyx_self, ((PyObject *)__pyx_v_obj));
12452 __Pyx_RefNannyFinishContext();
12456 static PyObject *__pyx_pf_8PyClical_34abs(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
12457 PyObject *__pyx_r = NULL;
12458 __Pyx_RefNannyDeclarations
12459 PyObject *__pyx_t_1 = NULL;
12460 __Pyx_RefNannySetupContext(
"abs", 0);
12461 __Pyx_XDECREF(__pyx_r);
12462 __pyx_t_1 = __pyx_f_8PyClical_abs(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1473, __pyx_L1_error)
12463 __Pyx_GOTREF(__pyx_t_1);
12464 __pyx_r = __pyx_t_1;
12470 __Pyx_XDECREF(__pyx_t_1);
12471 __Pyx_AddTraceback(
"PyClical.abs", __pyx_clineno, __pyx_lineno, __pyx_filename);
12474 __Pyx_XGIVEREF(__pyx_r);
12475 __Pyx_RefNannyFinishContext();
12487 static PyObject *__pyx_pw_8PyClical_37max_abs(PyObject *__pyx_self, PyObject *__pyx_v_obj);
12488 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_max_abs(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
12489 PyObject *__pyx_r = NULL;
12490 __Pyx_RefNannyDeclarations
12491 PyObject *__pyx_t_1 = NULL;
12492 __Pyx_RefNannySetupContext(
"max_abs", 0);
12501 __Pyx_XDECREF(__pyx_r);
12502 __pyx_t_1 =
PyFloat_FromDouble(
max_abs(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1492, __pyx_L1_error)
12503 __Pyx_GOTREF(__pyx_t_1);
12504 __pyx_r = __pyx_t_1;
12518 __Pyx_XDECREF(__pyx_t_1);
12519 __Pyx_AddTraceback(
"PyClical.max_abs", __pyx_clineno, __pyx_lineno, __pyx_filename);
12522 __Pyx_XGIVEREF(__pyx_r);
12523 __Pyx_RefNannyFinishContext();
12528 static PyObject *__pyx_pw_8PyClical_37max_abs(PyObject *__pyx_self, PyObject *__pyx_v_obj);
12529 static char __pyx_doc_8PyClical_36max_abs[] =
"\n Maximum absolute value of coordinates multivector: multivector infinity-norm.\n\n >>> max_abs(clifford(\"1+{-1}+{1,2}+{1,2,3}\"))\n 1.0\n >>> max_abs(clifford(\"3+2{1}+{1,2}\"))\n 3.0\n\n ";
12530 static PyObject *__pyx_pw_8PyClical_37max_abs(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
12531 PyObject *__pyx_r = 0;
12532 __Pyx_RefNannyDeclarations
12533 __Pyx_RefNannySetupContext(
"max_abs (wrapper)", 0);
12534 __pyx_r = __pyx_pf_8PyClical_36max_abs(__pyx_self, ((PyObject *)__pyx_v_obj));
12537 __Pyx_RefNannyFinishContext();
12541 static PyObject *__pyx_pf_8PyClical_36max_abs(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
12542 PyObject *__pyx_r = NULL;
12543 __Pyx_RefNannyDeclarations
12544 PyObject *__pyx_t_1 = NULL;
12545 __Pyx_RefNannySetupContext(
"max_abs", 0);
12546 __Pyx_XDECREF(__pyx_r);
12547 __pyx_t_1 = __pyx_f_8PyClical_max_abs(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1482, __pyx_L1_error)
12548 __Pyx_GOTREF(__pyx_t_1);
12549 __pyx_r = __pyx_t_1;
12555 __Pyx_XDECREF(__pyx_t_1);
12556 __Pyx_AddTraceback(
"PyClical.max_abs", __pyx_clineno, __pyx_lineno, __pyx_filename);
12559 __Pyx_XGIVEREF(__pyx_r);
12560 __Pyx_RefNannyFinishContext();
12572 static PyObject *__pyx_pw_8PyClical_39pow(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
12573 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_pow(PyObject *__pyx_v_obj, PyObject *__pyx_v_m, CYTHON_UNUSED
int __pyx_skip_dispatch) {
12574 PyObject *__pyx_r = NULL;
12575 __Pyx_RefNannyDeclarations
12576 PyObject *__pyx_t_1 = NULL;
12577 PyObject *__pyx_t_2 = NULL;
12578 PyObject *__pyx_t_3 = NULL;
12579 PyObject *__pyx_t_4 = NULL;
12580 PyObject *__pyx_t_5 = NULL;
12581 PyObject *__pyx_t_6 = NULL;
12583 PyObject *__pyx_t_8 = NULL;
12584 PyObject *__pyx_t_9 = NULL;
12585 PyObject *__pyx_t_10 = NULL;
12586 __Pyx_RefNannySetupContext(
"pow", 0);
12596 __Pyx_PyThreadState_declare
12597 __Pyx_PyThreadState_assign
12598 __Pyx_ExceptionSave(&__pyx_t_1, &__pyx_t_2, &__pyx_t_3);
12599 __Pyx_XGOTREF(__pyx_t_1);
12600 __Pyx_XGOTREF(__pyx_t_2);
12601 __Pyx_XGOTREF(__pyx_t_3);
12611 __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_math);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1514, __pyx_L3_error)
12612 __Pyx_GOTREF(__pyx_t_5);
12613 __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_pow);
if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1514, __pyx_L3_error)
12614 __Pyx_GOTREF(__pyx_t_6);
12615 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
12618 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_6))) {
12619 __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_6);
12620 if (likely(__pyx_t_5)) {
12621 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_6);
12622 __Pyx_INCREF(__pyx_t_5);
12623 __Pyx_INCREF(
function);
12624 __Pyx_DECREF_SET(__pyx_t_6,
function);
12628 #if CYTHON_FAST_PYCALL 12629 if (PyFunction_Check(__pyx_t_6)) {
12630 PyObject *__pyx_temp[3] = {__pyx_t_5, __pyx_v_obj, __pyx_v_m};
12631 __pyx_t_4 = __Pyx_PyFunction_FastCall(__pyx_t_6, __pyx_temp+1-__pyx_t_7, 2+__pyx_t_7);
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1514, __pyx_L3_error)
12632 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
12633 __Pyx_GOTREF(__pyx_t_4);
12636 #if CYTHON_FAST_PYCCALL 12637 if (__Pyx_PyFastCFunction_Check(__pyx_t_6)) {
12638 PyObject *__pyx_temp[3] = {__pyx_t_5, __pyx_v_obj, __pyx_v_m};
12639 __pyx_t_4 = __Pyx_PyCFunction_FastCall(__pyx_t_6, __pyx_temp+1-__pyx_t_7, 2+__pyx_t_7);
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1514, __pyx_L3_error)
12640 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
12641 __Pyx_GOTREF(__pyx_t_4);
12645 __pyx_t_8 = PyTuple_New(2+__pyx_t_7);
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1514, __pyx_L3_error)
12646 __Pyx_GOTREF(__pyx_t_8);
12648 __Pyx_GIVEREF(__pyx_t_5); PyTuple_SET_ITEM(__pyx_t_8, 0, __pyx_t_5); __pyx_t_5 = NULL;
12650 __Pyx_INCREF(__pyx_v_obj);
12651 __Pyx_GIVEREF(__pyx_v_obj);
12652 PyTuple_SET_ITEM(__pyx_t_8, 0+__pyx_t_7, __pyx_v_obj);
12653 __Pyx_INCREF(__pyx_v_m);
12654 __Pyx_GIVEREF(__pyx_v_m);
12655 PyTuple_SET_ITEM(__pyx_t_8, 1+__pyx_t_7, __pyx_v_m);
12656 __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_6, __pyx_t_8, NULL);
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1514, __pyx_L3_error)
12657 __Pyx_GOTREF(__pyx_t_4);
12658 __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
12660 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
12661 __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
12671 __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
12672 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
12673 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
12674 goto __pyx_L8_try_end;
12676 __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
12677 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
12678 __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
12679 __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
12689 __Pyx_AddTraceback(
"PyClical.pow", __pyx_clineno, __pyx_lineno, __pyx_filename);
12690 if (__Pyx_GetException(&__pyx_t_4, &__pyx_t_6, &__pyx_t_8) < 0) __PYX_ERR(0, 1515, __pyx_L5_except_error)
12691 __Pyx_GOTREF(__pyx_t_4);
12692 __Pyx_GOTREF(__pyx_t_6);
12693 __Pyx_GOTREF(__pyx_t_8);
12702 __Pyx_XDECREF(__pyx_r);
12703 __pyx_t_9 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1516, __pyx_L5_except_error)
12704 __Pyx_GOTREF(__pyx_t_9);
12705 __pyx_t_10 = __Pyx_PyObject_GetAttrStr(__pyx_t_9, __pyx_n_s_pow);
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1516, __pyx_L5_except_error)
12706 __Pyx_GOTREF(__pyx_t_10);
12707 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
12709 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_10))) {
12710 __pyx_t_9 = PyMethod_GET_SELF(__pyx_t_10);
12711 if (likely(__pyx_t_9)) {
12712 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_10);
12713 __Pyx_INCREF(__pyx_t_9);
12714 __Pyx_INCREF(
function);
12715 __Pyx_DECREF_SET(__pyx_t_10,
function);
12718 __pyx_t_5 = (__pyx_t_9) ? __Pyx_PyObject_Call2Args(__pyx_t_10, __pyx_t_9, __pyx_v_m) : __Pyx_PyObject_CallOneArg(__pyx_t_10, __pyx_v_m);
12719 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
12720 if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1516, __pyx_L5_except_error)
12721 __Pyx_GOTREF(__pyx_t_5);
12722 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
12723 __pyx_r = __pyx_t_5;
12725 __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
12726 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
12727 __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
12728 goto __pyx_L6_except_return;
12730 __pyx_L5_except_error:;
12739 __Pyx_XGIVEREF(__pyx_t_1);
12740 __Pyx_XGIVEREF(__pyx_t_2);
12741 __Pyx_XGIVEREF(__pyx_t_3);
12742 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
12743 goto __pyx_L1_error;
12744 __pyx_L6_except_return:;
12745 __Pyx_XGIVEREF(__pyx_t_1);
12746 __Pyx_XGIVEREF(__pyx_t_2);
12747 __Pyx_XGIVEREF(__pyx_t_3);
12748 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
12762 __pyx_r = Py_None; __Pyx_INCREF(Py_None);
12765 __Pyx_XDECREF(__pyx_t_4);
12766 __Pyx_XDECREF(__pyx_t_5);
12767 __Pyx_XDECREF(__pyx_t_6);
12768 __Pyx_XDECREF(__pyx_t_8);
12769 __Pyx_XDECREF(__pyx_t_9);
12770 __Pyx_XDECREF(__pyx_t_10);
12771 __Pyx_AddTraceback(
"PyClical.pow", __pyx_clineno, __pyx_lineno, __pyx_filename);
12774 __Pyx_XGIVEREF(__pyx_r);
12775 __Pyx_RefNannyFinishContext();
12780 static PyObject *__pyx_pw_8PyClical_39pow(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
12781 static char __pyx_doc_8PyClical_38pow[] =
"\n Integer power of multivector: obj to the m.\n\n >>> x=clifford(\"{1}\"); print pow(x,2)\n 1\n >>> x=clifford(\"2\"); print pow(x,2)\n 4\n >>> x=clifford(\"2+{1}\"); print pow(x,0)\n 1\n >>> x=clifford(\"2+{1}\"); print pow(x,1)\n 2+{1}\n >>> x=clifford(\"2+{1}\"); print pow(x,2)\n 5+4{1}\n >>> print pow(clifford(\"1+{1}+{1,2}\"),3)\n 1+3{1}+3{1,2}\n >>> i=clifford(\"{1,2}\");print exp(pi/2) * pow(i, i)\n 1\n ";
12782 static PyObject *__pyx_pw_8PyClical_39pow(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
12783 PyObject *__pyx_v_obj = 0;
12784 PyObject *__pyx_v_m = 0;
12785 PyObject *__pyx_r = 0;
12786 __Pyx_RefNannyDeclarations
12787 __Pyx_RefNannySetupContext(
"pow (wrapper)", 0);
12789 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_m,0};
12790 PyObject* values[2] = {0,0};
12791 if (unlikely(__pyx_kwds)) {
12792 Py_ssize_t kw_args;
12793 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
12794 switch (pos_args) {
12795 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
12796 CYTHON_FALLTHROUGH;
12797 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
12798 CYTHON_FALLTHROUGH;
12800 default:
goto __pyx_L5_argtuple_error;
12802 kw_args = PyDict_Size(__pyx_kwds);
12803 switch (pos_args) {
12805 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
12806 else goto __pyx_L5_argtuple_error;
12807 CYTHON_FALLTHROUGH;
12809 if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_m)) != 0)) kw_args--;
12811 __Pyx_RaiseArgtupleInvalid(
"pow", 1, 2, 2, 1); __PYX_ERR(0, 1494, __pyx_L3_error)
12814 if (unlikely(kw_args > 0)) {
12815 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"pow") < 0)) __PYX_ERR(0, 1494, __pyx_L3_error)
12817 }
else if (PyTuple_GET_SIZE(__pyx_args) != 2) {
12818 goto __pyx_L5_argtuple_error;
12820 values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
12821 values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
12823 __pyx_v_obj = values[0];
12824 __pyx_v_m = values[1];
12826 goto __pyx_L4_argument_unpacking_done;
12827 __pyx_L5_argtuple_error:;
12828 __Pyx_RaiseArgtupleInvalid(
"pow", 1, 2, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1494, __pyx_L3_error)
12830 __Pyx_AddTraceback(
"PyClical.pow", __pyx_clineno, __pyx_lineno, __pyx_filename);
12831 __Pyx_RefNannyFinishContext();
12833 __pyx_L4_argument_unpacking_done:;
12834 __pyx_r = __pyx_pf_8PyClical_38pow(__pyx_self, __pyx_v_obj, __pyx_v_m);
12837 __Pyx_RefNannyFinishContext();
12841 static PyObject *__pyx_pf_8PyClical_38pow(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_m) {
12842 PyObject *__pyx_r = NULL;
12843 __Pyx_RefNannyDeclarations
12844 PyObject *__pyx_t_1 = NULL;
12845 __Pyx_RefNannySetupContext(
"pow", 0);
12846 __Pyx_XDECREF(__pyx_r);
12847 __pyx_t_1 = __pyx_f_8PyClical_pow(__pyx_v_obj, __pyx_v_m, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1494, __pyx_L1_error)
12848 __Pyx_GOTREF(__pyx_t_1);
12849 __pyx_r = __pyx_t_1;
12855 __Pyx_XDECREF(__pyx_t_1);
12856 __Pyx_AddTraceback(
"PyClical.pow", __pyx_clineno, __pyx_lineno, __pyx_filename);
12859 __Pyx_XGIVEREF(__pyx_r);
12860 __Pyx_RefNannyFinishContext();
12872 static PyObject *__pyx_pw_8PyClical_41outer_pow(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
12873 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_outer_pow(PyObject *__pyx_v_obj, PyObject *__pyx_v_m, CYTHON_UNUSED
int __pyx_skip_dispatch) {
12874 PyObject *__pyx_r = NULL;
12875 __Pyx_RefNannyDeclarations
12876 PyObject *__pyx_t_1 = NULL;
12877 PyObject *__pyx_t_2 = NULL;
12878 PyObject *__pyx_t_3 = NULL;
12879 __Pyx_RefNannySetupContext(
"outer_pow", 0);
12888 __Pyx_XDECREF(__pyx_r);
12889 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_v_obj);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1525, __pyx_L1_error)
12890 __Pyx_GOTREF(__pyx_t_2);
12891 __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_outer_pow);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1525, __pyx_L1_error)
12892 __Pyx_GOTREF(__pyx_t_3);
12893 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
12895 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_3))) {
12896 __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
12897 if (likely(__pyx_t_2)) {
12898 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_3);
12899 __Pyx_INCREF(__pyx_t_2);
12900 __Pyx_INCREF(
function);
12901 __Pyx_DECREF_SET(__pyx_t_3,
function);
12904 __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_Call2Args(__pyx_t_3, __pyx_t_2, __pyx_v_m) : __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_v_m);
12905 __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
12906 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1525, __pyx_L1_error)
12907 __Pyx_GOTREF(__pyx_t_1);
12908 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
12909 __pyx_r = __pyx_t_1;
12923 __Pyx_XDECREF(__pyx_t_1);
12924 __Pyx_XDECREF(__pyx_t_2);
12925 __Pyx_XDECREF(__pyx_t_3);
12926 __Pyx_AddTraceback(
"PyClical.outer_pow", __pyx_clineno, __pyx_lineno, __pyx_filename);
12929 __Pyx_XGIVEREF(__pyx_r);
12930 __Pyx_RefNannyFinishContext();
12935 static PyObject *__pyx_pw_8PyClical_41outer_pow(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
12936 static char __pyx_doc_8PyClical_40outer_pow[] =
"\n Outer product power of multivector.\n\n >>> print outer_pow(clifford(\"1+{1}+{1,2}\"),3)\n 1+3{1}+3{1,2}\n ";
12937 static PyObject *__pyx_pw_8PyClical_41outer_pow(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
12938 PyObject *__pyx_v_obj = 0;
12939 PyObject *__pyx_v_m = 0;
12940 PyObject *__pyx_r = 0;
12941 __Pyx_RefNannyDeclarations
12942 __Pyx_RefNannySetupContext(
"outer_pow (wrapper)", 0);
12944 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_m,0};
12945 PyObject* values[2] = {0,0};
12946 if (unlikely(__pyx_kwds)) {
12947 Py_ssize_t kw_args;
12948 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
12949 switch (pos_args) {
12950 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
12951 CYTHON_FALLTHROUGH;
12952 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
12953 CYTHON_FALLTHROUGH;
12955 default:
goto __pyx_L5_argtuple_error;
12957 kw_args = PyDict_Size(__pyx_kwds);
12958 switch (pos_args) {
12960 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
12961 else goto __pyx_L5_argtuple_error;
12962 CYTHON_FALLTHROUGH;
12964 if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_m)) != 0)) kw_args--;
12966 __Pyx_RaiseArgtupleInvalid(
"outer_pow", 1, 2, 2, 1); __PYX_ERR(0, 1518, __pyx_L3_error)
12969 if (unlikely(kw_args > 0)) {
12970 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"outer_pow") < 0)) __PYX_ERR(0, 1518, __pyx_L3_error)
12972 }
else if (PyTuple_GET_SIZE(__pyx_args) != 2) {
12973 goto __pyx_L5_argtuple_error;
12975 values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
12976 values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
12978 __pyx_v_obj = values[0];
12979 __pyx_v_m = values[1];
12981 goto __pyx_L4_argument_unpacking_done;
12982 __pyx_L5_argtuple_error:;
12983 __Pyx_RaiseArgtupleInvalid(
"outer_pow", 1, 2, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1518, __pyx_L3_error)
12985 __Pyx_AddTraceback(
"PyClical.outer_pow", __pyx_clineno, __pyx_lineno, __pyx_filename);
12986 __Pyx_RefNannyFinishContext();
12988 __pyx_L4_argument_unpacking_done:;
12989 __pyx_r = __pyx_pf_8PyClical_40outer_pow(__pyx_self, __pyx_v_obj, __pyx_v_m);
12992 __Pyx_RefNannyFinishContext();
12996 static PyObject *__pyx_pf_8PyClical_40outer_pow(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_m) {
12997 PyObject *__pyx_r = NULL;
12998 __Pyx_RefNannyDeclarations
12999 PyObject *__pyx_t_1 = NULL;
13000 __Pyx_RefNannySetupContext(
"outer_pow", 0);
13001 __Pyx_XDECREF(__pyx_r);
13002 __pyx_t_1 = __pyx_f_8PyClical_outer_pow(__pyx_v_obj, __pyx_v_m, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1518, __pyx_L1_error)
13003 __Pyx_GOTREF(__pyx_t_1);
13004 __pyx_r = __pyx_t_1;
13010 __Pyx_XDECREF(__pyx_t_1);
13011 __Pyx_AddTraceback(
"PyClical.outer_pow", __pyx_clineno, __pyx_lineno, __pyx_filename);
13014 __Pyx_XGIVEREF(__pyx_r);
13015 __Pyx_RefNannyFinishContext();
13027 static PyObject *__pyx_pw_8PyClical_43complexifier(PyObject *__pyx_self, PyObject *__pyx_v_obj);
13028 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_complexifier(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
13029 PyObject *__pyx_r = NULL;
13030 __Pyx_RefNannyDeclarations
13031 PyObject *__pyx_t_1 = NULL;
13032 PyObject *__pyx_t_2 = NULL;
13033 __Pyx_RefNannySetupContext(
"complexifier", 0);
13042 __Pyx_XDECREF(__pyx_r);
13043 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1540, __pyx_L1_error)
13044 __Pyx_GOTREF(__pyx_t_1);
13045 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1),
complexifier(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1540, __pyx_L1_error)
13046 __Pyx_GOTREF(__pyx_t_2);
13047 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
13048 __pyx_r = __pyx_t_2;
13062 __Pyx_XDECREF(__pyx_t_1);
13063 __Pyx_XDECREF(__pyx_t_2);
13064 __Pyx_AddTraceback(
"PyClical.complexifier", __pyx_clineno, __pyx_lineno, __pyx_filename);
13067 __Pyx_XGIVEREF(__pyx_r);
13068 __Pyx_RefNannyFinishContext();
13073 static PyObject *__pyx_pw_8PyClical_43complexifier(PyObject *__pyx_self, PyObject *__pyx_v_obj);
13074 static char __pyx_doc_8PyClical_42complexifier[] =
"\n Square root of -1 which commutes with all members of the frame of the given multivector.\n\n >>> print complexifier(clifford(index_set({1})))\n {1,2,3}\n >>> print complexifier(clifford(index_set({-1})))\n {-1}\n >>> print complexifier(index_set({1}))\n {1,2,3}\n >>> print complexifier(index_set({-1}))\n {-1}\n ";
13075 static PyObject *__pyx_pw_8PyClical_43complexifier(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
13076 PyObject *__pyx_r = 0;
13077 __Pyx_RefNannyDeclarations
13078 __Pyx_RefNannySetupContext(
"complexifier (wrapper)", 0);
13079 __pyx_r = __pyx_pf_8PyClical_42complexifier(__pyx_self, ((PyObject *)__pyx_v_obj));
13082 __Pyx_RefNannyFinishContext();
13086 static PyObject *__pyx_pf_8PyClical_42complexifier(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
13087 PyObject *__pyx_r = NULL;
13088 __Pyx_RefNannyDeclarations
13089 PyObject *__pyx_t_1 = NULL;
13090 __Pyx_RefNannySetupContext(
"complexifier", 0);
13091 __Pyx_XDECREF(__pyx_r);
13092 __pyx_t_1 = __pyx_f_8PyClical_complexifier(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1527, __pyx_L1_error)
13093 __Pyx_GOTREF(__pyx_t_1);
13094 __pyx_r = __pyx_t_1;
13100 __Pyx_XDECREF(__pyx_t_1);
13101 __Pyx_AddTraceback(
"PyClical.complexifier", __pyx_clineno, __pyx_lineno, __pyx_filename);
13104 __Pyx_XGIVEREF(__pyx_r);
13105 __Pyx_RefNannyFinishContext();
13117 static PyObject *__pyx_pw_8PyClical_45sqrt(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
13118 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sqrt(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_sqrt *__pyx_optional_args) {
13119 PyObject *__pyx_v_i = ((PyObject *)Py_None);
13120 PyObject *__pyx_r = NULL;
13121 __Pyx_RefNannyDeclarations
13124 PyObject *__pyx_t_3 = NULL;
13126 PyObject *__pyx_t_5 = NULL;
13127 PyObject *__pyx_t_6 = NULL;
13128 PyObject *__pyx_t_7 = NULL;
13129 PyObject *__pyx_t_8 = NULL;
13130 PyObject *__pyx_t_9 = NULL;
13131 PyObject *__pyx_t_10 = NULL;
13132 PyObject *__pyx_t_11 = NULL;
13133 __Pyx_RefNannySetupContext(
"sqrt", 0);
13134 if (__pyx_optional_args) {
13135 if (__pyx_optional_args->__pyx_n > 0) {
13136 __pyx_v_i = __pyx_optional_args->i;
13147 __pyx_t_1 = (__pyx_v_i != Py_None);
13148 __pyx_t_2 = (__pyx_t_1 != 0);
13158 __Pyx_XDECREF(__pyx_r);
13159 __pyx_t_3 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1558, __pyx_L1_error)
13160 __Pyx_GOTREF(__pyx_t_3);
13162 __pyx_t_4 =
sqrt(__pyx_f_8PyClical_toClifford(__pyx_v_obj), __pyx_f_8PyClical_toClifford(__pyx_v_i));
13164 __Pyx_CppExn2PyErr();
13165 __PYX_ERR(0, 1558, __pyx_L1_error)
13167 __pyx_t_5 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_3), __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1558, __pyx_L1_error)
13168 __Pyx_GOTREF(__pyx_t_5);
13169 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
13170 __pyx_r = __pyx_t_5;
13192 __Pyx_PyThreadState_declare
13193 __Pyx_PyThreadState_assign
13194 __Pyx_ExceptionSave(&__pyx_t_6, &__pyx_t_7, &__pyx_t_8);
13195 __Pyx_XGOTREF(__pyx_t_6);
13196 __Pyx_XGOTREF(__pyx_t_7);
13197 __Pyx_XGOTREF(__pyx_t_8);
13207 __Pyx_XDECREF(__pyx_r);
13208 __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1561, __pyx_L4_error)
13209 __Pyx_GOTREF(__pyx_t_3);
13210 __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_sqrt);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1561, __pyx_L4_error)
13211 __Pyx_GOTREF(__pyx_t_9);
13212 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
13214 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_9))) {
13215 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_9);
13216 if (likely(__pyx_t_3)) {
13217 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_9);
13218 __Pyx_INCREF(__pyx_t_3);
13219 __Pyx_INCREF(
function);
13220 __Pyx_DECREF_SET(__pyx_t_9,
function);
13223 __pyx_t_5 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_9, __pyx_t_3, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_9, __pyx_v_obj);
13224 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
13225 if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1561, __pyx_L4_error)
13226 __Pyx_GOTREF(__pyx_t_5);
13227 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
13228 __pyx_r = __pyx_t_5;
13230 goto __pyx_L8_try_return;
13241 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
13242 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
13243 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
13253 __Pyx_AddTraceback(
"PyClical.sqrt", __pyx_clineno, __pyx_lineno, __pyx_filename);
13254 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_9, &__pyx_t_3) < 0) __PYX_ERR(0, 1562, __pyx_L6_except_error)
13255 __Pyx_GOTREF(__pyx_t_5);
13256 __Pyx_GOTREF(__pyx_t_9);
13257 __Pyx_GOTREF(__pyx_t_3);
13266 __Pyx_XDECREF(__pyx_r);
13267 __pyx_t_10 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1563, __pyx_L6_except_error)
13268 __Pyx_GOTREF(__pyx_t_10);
13269 __pyx_t_11 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_10),
sqrt(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1563, __pyx_L6_except_error)
13270 __Pyx_GOTREF(__pyx_t_11);
13271 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
13272 __pyx_r = __pyx_t_11;
13274 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
13275 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
13276 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
13277 goto __pyx_L7_except_return;
13279 __pyx_L6_except_error:;
13288 __Pyx_XGIVEREF(__pyx_t_6);
13289 __Pyx_XGIVEREF(__pyx_t_7);
13290 __Pyx_XGIVEREF(__pyx_t_8);
13291 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
13292 goto __pyx_L1_error;
13293 __pyx_L8_try_return:;
13294 __Pyx_XGIVEREF(__pyx_t_6);
13295 __Pyx_XGIVEREF(__pyx_t_7);
13296 __Pyx_XGIVEREF(__pyx_t_8);
13297 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
13299 __pyx_L7_except_return:;
13300 __Pyx_XGIVEREF(__pyx_t_6);
13301 __Pyx_XGIVEREF(__pyx_t_7);
13302 __Pyx_XGIVEREF(__pyx_t_8);
13303 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
13318 __Pyx_XDECREF(__pyx_t_3);
13319 __Pyx_XDECREF(__pyx_t_5);
13320 __Pyx_XDECREF(__pyx_t_9);
13321 __Pyx_XDECREF(__pyx_t_10);
13322 __Pyx_XDECREF(__pyx_t_11);
13323 __Pyx_AddTraceback(
"PyClical.sqrt", __pyx_clineno, __pyx_lineno, __pyx_filename);
13326 __Pyx_XGIVEREF(__pyx_r);
13327 __Pyx_RefNannyFinishContext();
13332 static PyObject *__pyx_pw_8PyClical_45sqrt(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
13333 static char __pyx_doc_8PyClical_44sqrt[] =
"\n Square root of multivector with optional complexifier.\n\n >>> print sqrt(-1)\n {-1}\n >>> print sqrt(clifford(\"2{-1}\"))\n 1+{-1}\n >>> j=sqrt(-1,complexifier(index_set({1}))); print j; print j*j\n {1,2,3}\n -1\n >>> j=sqrt(-1,\"{1,2,3}\"); print j; print j*j\n {1,2,3}\n -1\n ";
13334 static PyObject *__pyx_pw_8PyClical_45sqrt(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
13335 PyObject *__pyx_v_obj = 0;
13336 PyObject *__pyx_v_i = 0;
13337 PyObject *__pyx_r = 0;
13338 __Pyx_RefNannyDeclarations
13339 __Pyx_RefNannySetupContext(
"sqrt (wrapper)", 0);
13341 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_i,0};
13342 PyObject* values[2] = {0,0};
13343 values[1] = ((PyObject *)Py_None);
13344 if (unlikely(__pyx_kwds)) {
13345 Py_ssize_t kw_args;
13346 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
13347 switch (pos_args) {
13348 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
13349 CYTHON_FALLTHROUGH;
13350 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
13351 CYTHON_FALLTHROUGH;
13353 default:
goto __pyx_L5_argtuple_error;
13355 kw_args = PyDict_Size(__pyx_kwds);
13356 switch (pos_args) {
13358 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
13359 else goto __pyx_L5_argtuple_error;
13360 CYTHON_FALLTHROUGH;
13363 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_i);
13364 if (value) { values[1] = value; kw_args--; }
13367 if (unlikely(kw_args > 0)) {
13368 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"sqrt") < 0)) __PYX_ERR(0, 1542, __pyx_L3_error)
13371 switch (PyTuple_GET_SIZE(__pyx_args)) {
13372 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
13373 CYTHON_FALLTHROUGH;
13374 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
13376 default:
goto __pyx_L5_argtuple_error;
13379 __pyx_v_obj = values[0];
13380 __pyx_v_i = values[1];
13382 goto __pyx_L4_argument_unpacking_done;
13383 __pyx_L5_argtuple_error:;
13384 __Pyx_RaiseArgtupleInvalid(
"sqrt", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1542, __pyx_L3_error)
13386 __Pyx_AddTraceback(
"PyClical.sqrt", __pyx_clineno, __pyx_lineno, __pyx_filename);
13387 __Pyx_RefNannyFinishContext();
13389 __pyx_L4_argument_unpacking_done:;
13390 __pyx_r = __pyx_pf_8PyClical_44sqrt(__pyx_self, __pyx_v_obj, __pyx_v_i);
13393 __Pyx_RefNannyFinishContext();
13397 static PyObject *__pyx_pf_8PyClical_44sqrt(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i) {
13398 PyObject *__pyx_r = NULL;
13399 __Pyx_RefNannyDeclarations
13400 PyObject *__pyx_t_1 = NULL;
13401 struct __pyx_opt_args_8PyClical_sqrt __pyx_t_2;
13402 __Pyx_RefNannySetupContext(
"sqrt", 0);
13403 __Pyx_XDECREF(__pyx_r);
13404 __pyx_t_2.__pyx_n = 1;
13405 __pyx_t_2.i = __pyx_v_i;
13406 __pyx_t_1 = __pyx_f_8PyClical_sqrt(__pyx_v_obj, 0, &__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1542, __pyx_L1_error)
13407 __Pyx_GOTREF(__pyx_t_1);
13408 __pyx_r = __pyx_t_1;
13414 __Pyx_XDECREF(__pyx_t_1);
13415 __Pyx_AddTraceback(
"PyClical.sqrt", __pyx_clineno, __pyx_lineno, __pyx_filename);
13418 __Pyx_XGIVEREF(__pyx_r);
13419 __Pyx_RefNannyFinishContext();
13431 static PyObject *__pyx_pw_8PyClical_47exp(PyObject *__pyx_self, PyObject *__pyx_v_obj);
13432 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_exp(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
13433 PyObject *__pyx_r = NULL;
13434 __Pyx_RefNannyDeclarations
13435 PyObject *__pyx_t_1 = NULL;
13436 PyObject *__pyx_t_2 = NULL;
13437 PyObject *__pyx_t_3 = NULL;
13438 PyObject *__pyx_t_4 = NULL;
13439 PyObject *__pyx_t_5 = NULL;
13440 PyObject *__pyx_t_6 = NULL;
13441 PyObject *__pyx_t_7 = NULL;
13442 PyObject *__pyx_t_8 = NULL;
13443 __Pyx_RefNannySetupContext(
"exp", 0);
13453 __Pyx_PyThreadState_declare
13454 __Pyx_PyThreadState_assign
13455 __Pyx_ExceptionSave(&__pyx_t_1, &__pyx_t_2, &__pyx_t_3);
13456 __Pyx_XGOTREF(__pyx_t_1);
13457 __Pyx_XGOTREF(__pyx_t_2);
13458 __Pyx_XGOTREF(__pyx_t_3);
13468 __Pyx_XDECREF(__pyx_r);
13469 __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_math);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1575, __pyx_L3_error)
13470 __Pyx_GOTREF(__pyx_t_5);
13471 __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_exp);
if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1575, __pyx_L3_error)
13472 __Pyx_GOTREF(__pyx_t_6);
13473 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
13475 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_6))) {
13476 __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_6);
13477 if (likely(__pyx_t_5)) {
13478 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_6);
13479 __Pyx_INCREF(__pyx_t_5);
13480 __Pyx_INCREF(
function);
13481 __Pyx_DECREF_SET(__pyx_t_6,
function);
13484 __pyx_t_4 = (__pyx_t_5) ? __Pyx_PyObject_Call2Args(__pyx_t_6, __pyx_t_5, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_6, __pyx_v_obj);
13485 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
13486 if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1575, __pyx_L3_error)
13487 __Pyx_GOTREF(__pyx_t_4);
13488 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
13489 __pyx_r = __pyx_t_4;
13491 goto __pyx_L7_try_return;
13502 __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
13503 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
13504 __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
13514 __Pyx_AddTraceback(
"PyClical.exp", __pyx_clineno, __pyx_lineno, __pyx_filename);
13515 if (__Pyx_GetException(&__pyx_t_4, &__pyx_t_6, &__pyx_t_5) < 0) __PYX_ERR(0, 1576, __pyx_L5_except_error)
13516 __Pyx_GOTREF(__pyx_t_4);
13517 __Pyx_GOTREF(__pyx_t_6);
13518 __Pyx_GOTREF(__pyx_t_5);
13527 __Pyx_XDECREF(__pyx_r);
13528 __pyx_t_7 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1577, __pyx_L5_except_error)
13529 __Pyx_GOTREF(__pyx_t_7);
13530 __pyx_t_8 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_7),
exp(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1577, __pyx_L5_except_error)
13531 __Pyx_GOTREF(__pyx_t_8);
13532 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
13533 __pyx_r = __pyx_t_8;
13535 __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
13536 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
13537 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
13538 goto __pyx_L6_except_return;
13540 __pyx_L5_except_error:;
13549 __Pyx_XGIVEREF(__pyx_t_1);
13550 __Pyx_XGIVEREF(__pyx_t_2);
13551 __Pyx_XGIVEREF(__pyx_t_3);
13552 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
13553 goto __pyx_L1_error;
13554 __pyx_L7_try_return:;
13555 __Pyx_XGIVEREF(__pyx_t_1);
13556 __Pyx_XGIVEREF(__pyx_t_2);
13557 __Pyx_XGIVEREF(__pyx_t_3);
13558 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
13560 __pyx_L6_except_return:;
13561 __Pyx_XGIVEREF(__pyx_t_1);
13562 __Pyx_XGIVEREF(__pyx_t_2);
13563 __Pyx_XGIVEREF(__pyx_t_3);
13564 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
13578 __Pyx_XDECREF(__pyx_t_4);
13579 __Pyx_XDECREF(__pyx_t_5);
13580 __Pyx_XDECREF(__pyx_t_6);
13581 __Pyx_XDECREF(__pyx_t_7);
13582 __Pyx_XDECREF(__pyx_t_8);
13583 __Pyx_AddTraceback(
"PyClical.exp", __pyx_clineno, __pyx_lineno, __pyx_filename);
13586 __Pyx_XGIVEREF(__pyx_r);
13587 __Pyx_RefNannyFinishContext();
13592 static PyObject *__pyx_pw_8PyClical_47exp(PyObject *__pyx_self, PyObject *__pyx_v_obj);
13593 static char __pyx_doc_8PyClical_46exp[] =
"\n Exponential of multivector.\n\n >>> x=clifford(\"{1,2}\") * pi/4; print exp(x)\n 0.7071+0.7071{1,2}\n >>> x=clifford(\"{1,2}\") * pi/2; print exp(x)\n {1,2}\n ";
13594 static PyObject *__pyx_pw_8PyClical_47exp(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
13595 PyObject *__pyx_r = 0;
13596 __Pyx_RefNannyDeclarations
13597 __Pyx_RefNannySetupContext(
"exp (wrapper)", 0);
13598 __pyx_r = __pyx_pf_8PyClical_46exp(__pyx_self, ((PyObject *)__pyx_v_obj));
13601 __Pyx_RefNannyFinishContext();
13605 static PyObject *__pyx_pf_8PyClical_46exp(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
13606 PyObject *__pyx_r = NULL;
13607 __Pyx_RefNannyDeclarations
13608 PyObject *__pyx_t_1 = NULL;
13609 __Pyx_RefNannySetupContext(
"exp", 0);
13610 __Pyx_XDECREF(__pyx_r);
13611 __pyx_t_1 = __pyx_f_8PyClical_exp(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1565, __pyx_L1_error)
13612 __Pyx_GOTREF(__pyx_t_1);
13613 __pyx_r = __pyx_t_1;
13619 __Pyx_XDECREF(__pyx_t_1);
13620 __Pyx_AddTraceback(
"PyClical.exp", __pyx_clineno, __pyx_lineno, __pyx_filename);
13623 __Pyx_XGIVEREF(__pyx_r);
13624 __Pyx_RefNannyFinishContext();
13636 static PyObject *__pyx_pw_8PyClical_49log(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
13637 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_log(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_log *__pyx_optional_args) {
13638 PyObject *__pyx_v_i = ((PyObject *)Py_None);
13639 PyObject *__pyx_r = NULL;
13640 __Pyx_RefNannyDeclarations
13643 PyObject *__pyx_t_3 = NULL;
13645 PyObject *__pyx_t_5 = NULL;
13646 PyObject *__pyx_t_6 = NULL;
13647 PyObject *__pyx_t_7 = NULL;
13648 PyObject *__pyx_t_8 = NULL;
13649 PyObject *__pyx_t_9 = NULL;
13650 PyObject *__pyx_t_10 = NULL;
13651 PyObject *__pyx_t_11 = NULL;
13652 __Pyx_RefNannySetupContext(
"log", 0);
13653 if (__pyx_optional_args) {
13654 if (__pyx_optional_args->__pyx_n > 0) {
13655 __pyx_v_i = __pyx_optional_args->i;
13666 __pyx_t_1 = (__pyx_v_i != Py_None);
13667 __pyx_t_2 = (__pyx_t_1 != 0);
13677 __Pyx_XDECREF(__pyx_r);
13678 __pyx_t_3 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1595, __pyx_L1_error)
13679 __Pyx_GOTREF(__pyx_t_3);
13681 __pyx_t_4 =
log(__pyx_f_8PyClical_toClifford(__pyx_v_obj), __pyx_f_8PyClical_toClifford(__pyx_v_i));
13683 __Pyx_CppExn2PyErr();
13684 __PYX_ERR(0, 1595, __pyx_L1_error)
13686 __pyx_t_5 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_3), __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1595, __pyx_L1_error)
13687 __Pyx_GOTREF(__pyx_t_5);
13688 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
13689 __pyx_r = __pyx_t_5;
13711 __Pyx_PyThreadState_declare
13712 __Pyx_PyThreadState_assign
13713 __Pyx_ExceptionSave(&__pyx_t_6, &__pyx_t_7, &__pyx_t_8);
13714 __Pyx_XGOTREF(__pyx_t_6);
13715 __Pyx_XGOTREF(__pyx_t_7);
13716 __Pyx_XGOTREF(__pyx_t_8);
13726 __Pyx_XDECREF(__pyx_r);
13727 __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1598, __pyx_L4_error)
13728 __Pyx_GOTREF(__pyx_t_3);
13729 __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_log);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1598, __pyx_L4_error)
13730 __Pyx_GOTREF(__pyx_t_9);
13731 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
13733 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_9))) {
13734 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_9);
13735 if (likely(__pyx_t_3)) {
13736 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_9);
13737 __Pyx_INCREF(__pyx_t_3);
13738 __Pyx_INCREF(
function);
13739 __Pyx_DECREF_SET(__pyx_t_9,
function);
13742 __pyx_t_5 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_9, __pyx_t_3, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_9, __pyx_v_obj);
13743 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
13744 if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1598, __pyx_L4_error)
13745 __Pyx_GOTREF(__pyx_t_5);
13746 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
13747 __pyx_r = __pyx_t_5;
13749 goto __pyx_L8_try_return;
13760 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
13761 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
13762 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
13772 __Pyx_AddTraceback(
"PyClical.log", __pyx_clineno, __pyx_lineno, __pyx_filename);
13773 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_9, &__pyx_t_3) < 0) __PYX_ERR(0, 1599, __pyx_L6_except_error)
13774 __Pyx_GOTREF(__pyx_t_5);
13775 __Pyx_GOTREF(__pyx_t_9);
13776 __Pyx_GOTREF(__pyx_t_3);
13785 __Pyx_XDECREF(__pyx_r);
13786 __pyx_t_10 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1600, __pyx_L6_except_error)
13787 __Pyx_GOTREF(__pyx_t_10);
13788 __pyx_t_11 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_10),
log(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1600, __pyx_L6_except_error)
13789 __Pyx_GOTREF(__pyx_t_11);
13790 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
13791 __pyx_r = __pyx_t_11;
13793 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
13794 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
13795 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
13796 goto __pyx_L7_except_return;
13798 __pyx_L6_except_error:;
13807 __Pyx_XGIVEREF(__pyx_t_6);
13808 __Pyx_XGIVEREF(__pyx_t_7);
13809 __Pyx_XGIVEREF(__pyx_t_8);
13810 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
13811 goto __pyx_L1_error;
13812 __pyx_L8_try_return:;
13813 __Pyx_XGIVEREF(__pyx_t_6);
13814 __Pyx_XGIVEREF(__pyx_t_7);
13815 __Pyx_XGIVEREF(__pyx_t_8);
13816 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
13818 __pyx_L7_except_return:;
13819 __Pyx_XGIVEREF(__pyx_t_6);
13820 __Pyx_XGIVEREF(__pyx_t_7);
13821 __Pyx_XGIVEREF(__pyx_t_8);
13822 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
13837 __Pyx_XDECREF(__pyx_t_3);
13838 __Pyx_XDECREF(__pyx_t_5);
13839 __Pyx_XDECREF(__pyx_t_9);
13840 __Pyx_XDECREF(__pyx_t_10);
13841 __Pyx_XDECREF(__pyx_t_11);
13842 __Pyx_AddTraceback(
"PyClical.log", __pyx_clineno, __pyx_lineno, __pyx_filename);
13845 __Pyx_XGIVEREF(__pyx_r);
13846 __Pyx_RefNannyFinishContext();
13851 static PyObject *__pyx_pw_8PyClical_49log(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
13852 static char __pyx_doc_8PyClical_48log[] =
"\n Natural logarithm of multivector with optional complexifier.\n\n >>> x=clifford(\"{-1}\"); print (log(x,\"{-1}\") * 2/pi)\n {-1}\n >>> x=clifford(\"{1,2}\"); print (log(x,\"{1,2,3}\") * 2/pi)\n {1,2}\n >>> x=clifford(\"{1,2}\"); print (log(x) * 2/pi)\n {1,2}\n >>> x=clifford(\"{1,2}\"); print (log(x,\"{1,2}\") * 2/pi)\n Traceback (most recent call last):\n ...\n RuntimeError: check_complex(val, i): i is not a valid complexifier for val\n ";
13853 static PyObject *__pyx_pw_8PyClical_49log(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
13854 PyObject *__pyx_v_obj = 0;
13855 PyObject *__pyx_v_i = 0;
13856 PyObject *__pyx_r = 0;
13857 __Pyx_RefNannyDeclarations
13858 __Pyx_RefNannySetupContext(
"log (wrapper)", 0);
13860 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_i,0};
13861 PyObject* values[2] = {0,0};
13862 values[1] = ((PyObject *)Py_None);
13863 if (unlikely(__pyx_kwds)) {
13864 Py_ssize_t kw_args;
13865 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
13866 switch (pos_args) {
13867 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
13868 CYTHON_FALLTHROUGH;
13869 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
13870 CYTHON_FALLTHROUGH;
13872 default:
goto __pyx_L5_argtuple_error;
13874 kw_args = PyDict_Size(__pyx_kwds);
13875 switch (pos_args) {
13877 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
13878 else goto __pyx_L5_argtuple_error;
13879 CYTHON_FALLTHROUGH;
13882 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_i);
13883 if (value) { values[1] = value; kw_args--; }
13886 if (unlikely(kw_args > 0)) {
13887 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"log") < 0)) __PYX_ERR(0, 1579, __pyx_L3_error)
13890 switch (PyTuple_GET_SIZE(__pyx_args)) {
13891 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
13892 CYTHON_FALLTHROUGH;
13893 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
13895 default:
goto __pyx_L5_argtuple_error;
13898 __pyx_v_obj = values[0];
13899 __pyx_v_i = values[1];
13901 goto __pyx_L4_argument_unpacking_done;
13902 __pyx_L5_argtuple_error:;
13903 __Pyx_RaiseArgtupleInvalid(
"log", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1579, __pyx_L3_error)
13905 __Pyx_AddTraceback(
"PyClical.log", __pyx_clineno, __pyx_lineno, __pyx_filename);
13906 __Pyx_RefNannyFinishContext();
13908 __pyx_L4_argument_unpacking_done:;
13909 __pyx_r = __pyx_pf_8PyClical_48log(__pyx_self, __pyx_v_obj, __pyx_v_i);
13912 __Pyx_RefNannyFinishContext();
13916 static PyObject *__pyx_pf_8PyClical_48log(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i) {
13917 PyObject *__pyx_r = NULL;
13918 __Pyx_RefNannyDeclarations
13919 PyObject *__pyx_t_1 = NULL;
13920 struct __pyx_opt_args_8PyClical_log __pyx_t_2;
13921 __Pyx_RefNannySetupContext(
"log", 0);
13922 __Pyx_XDECREF(__pyx_r);
13923 __pyx_t_2.__pyx_n = 1;
13924 __pyx_t_2.i = __pyx_v_i;
13925 __pyx_t_1 = __pyx_f_8PyClical_log(__pyx_v_obj, 0, &__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1579, __pyx_L1_error)
13926 __Pyx_GOTREF(__pyx_t_1);
13927 __pyx_r = __pyx_t_1;
13933 __Pyx_XDECREF(__pyx_t_1);
13934 __Pyx_AddTraceback(
"PyClical.log", __pyx_clineno, __pyx_lineno, __pyx_filename);
13937 __Pyx_XGIVEREF(__pyx_r);
13938 __Pyx_RefNannyFinishContext();
13950 static PyObject *__pyx_pw_8PyClical_51cos(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
13951 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cos(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_cos *__pyx_optional_args) {
13952 PyObject *__pyx_v_i = ((PyObject *)Py_None);
13953 PyObject *__pyx_r = NULL;
13954 __Pyx_RefNannyDeclarations
13957 PyObject *__pyx_t_3 = NULL;
13959 PyObject *__pyx_t_5 = NULL;
13960 PyObject *__pyx_t_6 = NULL;
13961 PyObject *__pyx_t_7 = NULL;
13962 PyObject *__pyx_t_8 = NULL;
13963 PyObject *__pyx_t_9 = NULL;
13964 PyObject *__pyx_t_10 = NULL;
13965 PyObject *__pyx_t_11 = NULL;
13966 __Pyx_RefNannySetupContext(
"cos", 0);
13967 if (__pyx_optional_args) {
13968 if (__pyx_optional_args->__pyx_n > 0) {
13969 __pyx_v_i = __pyx_optional_args->i;
13980 __pyx_t_1 = (__pyx_v_i != Py_None);
13981 __pyx_t_2 = (__pyx_t_1 != 0);
13991 __Pyx_XDECREF(__pyx_r);
13992 __pyx_t_3 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1612, __pyx_L1_error)
13993 __Pyx_GOTREF(__pyx_t_3);
13995 __pyx_t_4 =
cos(__pyx_f_8PyClical_toClifford(__pyx_v_obj), __pyx_f_8PyClical_toClifford(__pyx_v_i));
13997 __Pyx_CppExn2PyErr();
13998 __PYX_ERR(0, 1612, __pyx_L1_error)
14000 __pyx_t_5 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_3), __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1612, __pyx_L1_error)
14001 __Pyx_GOTREF(__pyx_t_5);
14002 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
14003 __pyx_r = __pyx_t_5;
14025 __Pyx_PyThreadState_declare
14026 __Pyx_PyThreadState_assign
14027 __Pyx_ExceptionSave(&__pyx_t_6, &__pyx_t_7, &__pyx_t_8);
14028 __Pyx_XGOTREF(__pyx_t_6);
14029 __Pyx_XGOTREF(__pyx_t_7);
14030 __Pyx_XGOTREF(__pyx_t_8);
14040 __Pyx_XDECREF(__pyx_r);
14041 __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1615, __pyx_L4_error)
14042 __Pyx_GOTREF(__pyx_t_3);
14043 __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_cos);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1615, __pyx_L4_error)
14044 __Pyx_GOTREF(__pyx_t_9);
14045 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
14047 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_9))) {
14048 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_9);
14049 if (likely(__pyx_t_3)) {
14050 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_9);
14051 __Pyx_INCREF(__pyx_t_3);
14052 __Pyx_INCREF(
function);
14053 __Pyx_DECREF_SET(__pyx_t_9,
function);
14056 __pyx_t_5 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_9, __pyx_t_3, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_9, __pyx_v_obj);
14057 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
14058 if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1615, __pyx_L4_error)
14059 __Pyx_GOTREF(__pyx_t_5);
14060 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
14061 __pyx_r = __pyx_t_5;
14063 goto __pyx_L8_try_return;
14074 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
14075 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
14076 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
14086 __Pyx_AddTraceback(
"PyClical.cos", __pyx_clineno, __pyx_lineno, __pyx_filename);
14087 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_9, &__pyx_t_3) < 0) __PYX_ERR(0, 1616, __pyx_L6_except_error)
14088 __Pyx_GOTREF(__pyx_t_5);
14089 __Pyx_GOTREF(__pyx_t_9);
14090 __Pyx_GOTREF(__pyx_t_3);
14099 __Pyx_XDECREF(__pyx_r);
14100 __pyx_t_10 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1617, __pyx_L6_except_error)
14101 __Pyx_GOTREF(__pyx_t_10);
14102 __pyx_t_11 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_10),
cos(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1617, __pyx_L6_except_error)
14103 __Pyx_GOTREF(__pyx_t_11);
14104 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
14105 __pyx_r = __pyx_t_11;
14107 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
14108 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
14109 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
14110 goto __pyx_L7_except_return;
14112 __pyx_L6_except_error:;
14121 __Pyx_XGIVEREF(__pyx_t_6);
14122 __Pyx_XGIVEREF(__pyx_t_7);
14123 __Pyx_XGIVEREF(__pyx_t_8);
14124 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
14125 goto __pyx_L1_error;
14126 __pyx_L8_try_return:;
14127 __Pyx_XGIVEREF(__pyx_t_6);
14128 __Pyx_XGIVEREF(__pyx_t_7);
14129 __Pyx_XGIVEREF(__pyx_t_8);
14130 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
14132 __pyx_L7_except_return:;
14133 __Pyx_XGIVEREF(__pyx_t_6);
14134 __Pyx_XGIVEREF(__pyx_t_7);
14135 __Pyx_XGIVEREF(__pyx_t_8);
14136 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
14151 __Pyx_XDECREF(__pyx_t_3);
14152 __Pyx_XDECREF(__pyx_t_5);
14153 __Pyx_XDECREF(__pyx_t_9);
14154 __Pyx_XDECREF(__pyx_t_10);
14155 __Pyx_XDECREF(__pyx_t_11);
14156 __Pyx_AddTraceback(
"PyClical.cos", __pyx_clineno, __pyx_lineno, __pyx_filename);
14159 __Pyx_XGIVEREF(__pyx_r);
14160 __Pyx_RefNannyFinishContext();
14165 static PyObject *__pyx_pw_8PyClical_51cos(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
14166 static char __pyx_doc_8PyClical_50cos[] =
"\n Cosine of multivector with optional complexifier.\n\n >>> x=clifford(\"{1,2}\"); print cos(acos(x),\"{1,2,3}\")\n {1,2}\n >>> x=clifford(\"{1,2}\"); print cos(acos(x))\n {1,2}\n ";
14167 static PyObject *__pyx_pw_8PyClical_51cos(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
14168 PyObject *__pyx_v_obj = 0;
14169 PyObject *__pyx_v_i = 0;
14170 PyObject *__pyx_r = 0;
14171 __Pyx_RefNannyDeclarations
14172 __Pyx_RefNannySetupContext(
"cos (wrapper)", 0);
14174 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_i,0};
14175 PyObject* values[2] = {0,0};
14176 values[1] = ((PyObject *)Py_None);
14177 if (unlikely(__pyx_kwds)) {
14178 Py_ssize_t kw_args;
14179 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
14180 switch (pos_args) {
14181 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
14182 CYTHON_FALLTHROUGH;
14183 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
14184 CYTHON_FALLTHROUGH;
14186 default:
goto __pyx_L5_argtuple_error;
14188 kw_args = PyDict_Size(__pyx_kwds);
14189 switch (pos_args) {
14191 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
14192 else goto __pyx_L5_argtuple_error;
14193 CYTHON_FALLTHROUGH;
14196 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_i);
14197 if (value) { values[1] = value; kw_args--; }
14200 if (unlikely(kw_args > 0)) {
14201 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"cos") < 0)) __PYX_ERR(0, 1602, __pyx_L3_error)
14204 switch (PyTuple_GET_SIZE(__pyx_args)) {
14205 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
14206 CYTHON_FALLTHROUGH;
14207 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
14209 default:
goto __pyx_L5_argtuple_error;
14212 __pyx_v_obj = values[0];
14213 __pyx_v_i = values[1];
14215 goto __pyx_L4_argument_unpacking_done;
14216 __pyx_L5_argtuple_error:;
14217 __Pyx_RaiseArgtupleInvalid(
"cos", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1602, __pyx_L3_error)
14219 __Pyx_AddTraceback(
"PyClical.cos", __pyx_clineno, __pyx_lineno, __pyx_filename);
14220 __Pyx_RefNannyFinishContext();
14222 __pyx_L4_argument_unpacking_done:;
14223 __pyx_r = __pyx_pf_8PyClical_50cos(__pyx_self, __pyx_v_obj, __pyx_v_i);
14226 __Pyx_RefNannyFinishContext();
14230 static PyObject *__pyx_pf_8PyClical_50cos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i) {
14231 PyObject *__pyx_r = NULL;
14232 __Pyx_RefNannyDeclarations
14233 PyObject *__pyx_t_1 = NULL;
14234 struct __pyx_opt_args_8PyClical_cos __pyx_t_2;
14235 __Pyx_RefNannySetupContext(
"cos", 0);
14236 __Pyx_XDECREF(__pyx_r);
14237 __pyx_t_2.__pyx_n = 1;
14238 __pyx_t_2.i = __pyx_v_i;
14239 __pyx_t_1 = __pyx_f_8PyClical_cos(__pyx_v_obj, 0, &__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1602, __pyx_L1_error)
14240 __Pyx_GOTREF(__pyx_t_1);
14241 __pyx_r = __pyx_t_1;
14247 __Pyx_XDECREF(__pyx_t_1);
14248 __Pyx_AddTraceback(
"PyClical.cos", __pyx_clineno, __pyx_lineno, __pyx_filename);
14251 __Pyx_XGIVEREF(__pyx_r);
14252 __Pyx_RefNannyFinishContext();
14264 static PyObject *__pyx_pw_8PyClical_53acos(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
14265 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_acos(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_acos *__pyx_optional_args) {
14266 PyObject *__pyx_v_i = ((PyObject *)Py_None);
14267 PyObject *__pyx_r = NULL;
14268 __Pyx_RefNannyDeclarations
14271 PyObject *__pyx_t_3 = NULL;
14273 PyObject *__pyx_t_5 = NULL;
14274 PyObject *__pyx_t_6 = NULL;
14275 PyObject *__pyx_t_7 = NULL;
14276 PyObject *__pyx_t_8 = NULL;
14277 PyObject *__pyx_t_9 = NULL;
14278 PyObject *__pyx_t_10 = NULL;
14279 PyObject *__pyx_t_11 = NULL;
14280 __Pyx_RefNannySetupContext(
"acos", 0);
14281 if (__pyx_optional_args) {
14282 if (__pyx_optional_args->__pyx_n > 0) {
14283 __pyx_v_i = __pyx_optional_args->i;
14294 __pyx_t_1 = (__pyx_v_i != Py_None);
14295 __pyx_t_2 = (__pyx_t_1 != 0);
14305 __Pyx_XDECREF(__pyx_r);
14306 __pyx_t_3 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1633, __pyx_L1_error)
14307 __Pyx_GOTREF(__pyx_t_3);
14309 __pyx_t_4 =
acos(__pyx_f_8PyClical_toClifford(__pyx_v_obj), __pyx_f_8PyClical_toClifford(__pyx_v_i));
14311 __Pyx_CppExn2PyErr();
14312 __PYX_ERR(0, 1633, __pyx_L1_error)
14314 __pyx_t_5 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_3), __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1633, __pyx_L1_error)
14315 __Pyx_GOTREF(__pyx_t_5);
14316 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
14317 __pyx_r = __pyx_t_5;
14339 __Pyx_PyThreadState_declare
14340 __Pyx_PyThreadState_assign
14341 __Pyx_ExceptionSave(&__pyx_t_6, &__pyx_t_7, &__pyx_t_8);
14342 __Pyx_XGOTREF(__pyx_t_6);
14343 __Pyx_XGOTREF(__pyx_t_7);
14344 __Pyx_XGOTREF(__pyx_t_8);
14354 __Pyx_XDECREF(__pyx_r);
14355 __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1636, __pyx_L4_error)
14356 __Pyx_GOTREF(__pyx_t_3);
14357 __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_acos);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1636, __pyx_L4_error)
14358 __Pyx_GOTREF(__pyx_t_9);
14359 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
14361 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_9))) {
14362 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_9);
14363 if (likely(__pyx_t_3)) {
14364 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_9);
14365 __Pyx_INCREF(__pyx_t_3);
14366 __Pyx_INCREF(
function);
14367 __Pyx_DECREF_SET(__pyx_t_9,
function);
14370 __pyx_t_5 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_9, __pyx_t_3, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_9, __pyx_v_obj);
14371 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
14372 if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1636, __pyx_L4_error)
14373 __Pyx_GOTREF(__pyx_t_5);
14374 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
14375 __pyx_r = __pyx_t_5;
14377 goto __pyx_L8_try_return;
14388 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
14389 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
14390 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
14400 __Pyx_AddTraceback(
"PyClical.acos", __pyx_clineno, __pyx_lineno, __pyx_filename);
14401 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_9, &__pyx_t_3) < 0) __PYX_ERR(0, 1637, __pyx_L6_except_error)
14402 __Pyx_GOTREF(__pyx_t_5);
14403 __Pyx_GOTREF(__pyx_t_9);
14404 __Pyx_GOTREF(__pyx_t_3);
14413 __Pyx_XDECREF(__pyx_r);
14414 __pyx_t_10 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1638, __pyx_L6_except_error)
14415 __Pyx_GOTREF(__pyx_t_10);
14416 __pyx_t_11 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_10),
acos(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1638, __pyx_L6_except_error)
14417 __Pyx_GOTREF(__pyx_t_11);
14418 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
14419 __pyx_r = __pyx_t_11;
14421 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
14422 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
14423 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
14424 goto __pyx_L7_except_return;
14426 __pyx_L6_except_error:;
14435 __Pyx_XGIVEREF(__pyx_t_6);
14436 __Pyx_XGIVEREF(__pyx_t_7);
14437 __Pyx_XGIVEREF(__pyx_t_8);
14438 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
14439 goto __pyx_L1_error;
14440 __pyx_L8_try_return:;
14441 __Pyx_XGIVEREF(__pyx_t_6);
14442 __Pyx_XGIVEREF(__pyx_t_7);
14443 __Pyx_XGIVEREF(__pyx_t_8);
14444 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
14446 __pyx_L7_except_return:;
14447 __Pyx_XGIVEREF(__pyx_t_6);
14448 __Pyx_XGIVEREF(__pyx_t_7);
14449 __Pyx_XGIVEREF(__pyx_t_8);
14450 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
14465 __Pyx_XDECREF(__pyx_t_3);
14466 __Pyx_XDECREF(__pyx_t_5);
14467 __Pyx_XDECREF(__pyx_t_9);
14468 __Pyx_XDECREF(__pyx_t_10);
14469 __Pyx_XDECREF(__pyx_t_11);
14470 __Pyx_AddTraceback(
"PyClical.acos", __pyx_clineno, __pyx_lineno, __pyx_filename);
14473 __Pyx_XGIVEREF(__pyx_r);
14474 __Pyx_RefNannyFinishContext();
14479 static PyObject *__pyx_pw_8PyClical_53acos(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
14480 static char __pyx_doc_8PyClical_52acos[] =
"\n Inverse cosine of multivector with optional complexifier.\n\n >>> x=clifford(\"{1,2}\"); print cos(acos(x),\"{1,2,3}\")\n {1,2}\n >>> x=clifford(\"{1,2}\"); print cos(acos(x),\"{-1,1,2,3,4}\")\n {1,2}\n >>> print acos(0) / pi\n 0.5\n >>> x=clifford(\"{1,2}\"); print cos(acos(x))\n {1,2}\n ";
14481 static PyObject *__pyx_pw_8PyClical_53acos(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
14482 PyObject *__pyx_v_obj = 0;
14483 PyObject *__pyx_v_i = 0;
14484 PyObject *__pyx_r = 0;
14485 __Pyx_RefNannyDeclarations
14486 __Pyx_RefNannySetupContext(
"acos (wrapper)", 0);
14488 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_i,0};
14489 PyObject* values[2] = {0,0};
14490 values[1] = ((PyObject *)Py_None);
14491 if (unlikely(__pyx_kwds)) {
14492 Py_ssize_t kw_args;
14493 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
14494 switch (pos_args) {
14495 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
14496 CYTHON_FALLTHROUGH;
14497 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
14498 CYTHON_FALLTHROUGH;
14500 default:
goto __pyx_L5_argtuple_error;
14502 kw_args = PyDict_Size(__pyx_kwds);
14503 switch (pos_args) {
14505 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
14506 else goto __pyx_L5_argtuple_error;
14507 CYTHON_FALLTHROUGH;
14510 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_i);
14511 if (value) { values[1] = value; kw_args--; }
14514 if (unlikely(kw_args > 0)) {
14515 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"acos") < 0)) __PYX_ERR(0, 1619, __pyx_L3_error)
14518 switch (PyTuple_GET_SIZE(__pyx_args)) {
14519 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
14520 CYTHON_FALLTHROUGH;
14521 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
14523 default:
goto __pyx_L5_argtuple_error;
14526 __pyx_v_obj = values[0];
14527 __pyx_v_i = values[1];
14529 goto __pyx_L4_argument_unpacking_done;
14530 __pyx_L5_argtuple_error:;
14531 __Pyx_RaiseArgtupleInvalid(
"acos", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1619, __pyx_L3_error)
14533 __Pyx_AddTraceback(
"PyClical.acos", __pyx_clineno, __pyx_lineno, __pyx_filename);
14534 __Pyx_RefNannyFinishContext();
14536 __pyx_L4_argument_unpacking_done:;
14537 __pyx_r = __pyx_pf_8PyClical_52acos(__pyx_self, __pyx_v_obj, __pyx_v_i);
14540 __Pyx_RefNannyFinishContext();
14544 static PyObject *__pyx_pf_8PyClical_52acos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i) {
14545 PyObject *__pyx_r = NULL;
14546 __Pyx_RefNannyDeclarations
14547 PyObject *__pyx_t_1 = NULL;
14548 struct __pyx_opt_args_8PyClical_acos __pyx_t_2;
14549 __Pyx_RefNannySetupContext(
"acos", 0);
14550 __Pyx_XDECREF(__pyx_r);
14551 __pyx_t_2.__pyx_n = 1;
14552 __pyx_t_2.i = __pyx_v_i;
14553 __pyx_t_1 = __pyx_f_8PyClical_acos(__pyx_v_obj, 0, &__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1619, __pyx_L1_error)
14554 __Pyx_GOTREF(__pyx_t_1);
14555 __pyx_r = __pyx_t_1;
14561 __Pyx_XDECREF(__pyx_t_1);
14562 __Pyx_AddTraceback(
"PyClical.acos", __pyx_clineno, __pyx_lineno, __pyx_filename);
14565 __Pyx_XGIVEREF(__pyx_r);
14566 __Pyx_RefNannyFinishContext();
14578 static PyObject *__pyx_pw_8PyClical_55cosh(PyObject *__pyx_self, PyObject *__pyx_v_obj);
14579 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cosh(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
14580 PyObject *__pyx_r = NULL;
14581 __Pyx_RefNannyDeclarations
14582 PyObject *__pyx_t_1 = NULL;
14583 PyObject *__pyx_t_2 = NULL;
14584 PyObject *__pyx_t_3 = NULL;
14585 PyObject *__pyx_t_4 = NULL;
14586 PyObject *__pyx_t_5 = NULL;
14587 PyObject *__pyx_t_6 = NULL;
14588 PyObject *__pyx_t_7 = NULL;
14589 PyObject *__pyx_t_8 = NULL;
14590 __Pyx_RefNannySetupContext(
"cosh", 0);
14600 __Pyx_PyThreadState_declare
14601 __Pyx_PyThreadState_assign
14602 __Pyx_ExceptionSave(&__pyx_t_1, &__pyx_t_2, &__pyx_t_3);
14603 __Pyx_XGOTREF(__pyx_t_1);
14604 __Pyx_XGOTREF(__pyx_t_2);
14605 __Pyx_XGOTREF(__pyx_t_3);
14615 __Pyx_XDECREF(__pyx_r);
14616 __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_math);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1652, __pyx_L3_error)
14617 __Pyx_GOTREF(__pyx_t_5);
14618 __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_cosh);
if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1652, __pyx_L3_error)
14619 __Pyx_GOTREF(__pyx_t_6);
14620 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
14622 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_6))) {
14623 __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_6);
14624 if (likely(__pyx_t_5)) {
14625 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_6);
14626 __Pyx_INCREF(__pyx_t_5);
14627 __Pyx_INCREF(
function);
14628 __Pyx_DECREF_SET(__pyx_t_6,
function);
14631 __pyx_t_4 = (__pyx_t_5) ? __Pyx_PyObject_Call2Args(__pyx_t_6, __pyx_t_5, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_6, __pyx_v_obj);
14632 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
14633 if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1652, __pyx_L3_error)
14634 __Pyx_GOTREF(__pyx_t_4);
14635 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
14636 __pyx_r = __pyx_t_4;
14638 goto __pyx_L7_try_return;
14649 __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
14650 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
14651 __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
14661 __Pyx_AddTraceback(
"PyClical.cosh", __pyx_clineno, __pyx_lineno, __pyx_filename);
14662 if (__Pyx_GetException(&__pyx_t_4, &__pyx_t_6, &__pyx_t_5) < 0) __PYX_ERR(0, 1653, __pyx_L5_except_error)
14663 __Pyx_GOTREF(__pyx_t_4);
14664 __Pyx_GOTREF(__pyx_t_6);
14665 __Pyx_GOTREF(__pyx_t_5);
14674 __Pyx_XDECREF(__pyx_r);
14675 __pyx_t_7 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1654, __pyx_L5_except_error)
14676 __Pyx_GOTREF(__pyx_t_7);
14677 __pyx_t_8 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_7),
cosh(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1654, __pyx_L5_except_error)
14678 __Pyx_GOTREF(__pyx_t_8);
14679 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
14680 __pyx_r = __pyx_t_8;
14682 __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
14683 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
14684 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
14685 goto __pyx_L6_except_return;
14687 __pyx_L5_except_error:;
14696 __Pyx_XGIVEREF(__pyx_t_1);
14697 __Pyx_XGIVEREF(__pyx_t_2);
14698 __Pyx_XGIVEREF(__pyx_t_3);
14699 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
14700 goto __pyx_L1_error;
14701 __pyx_L7_try_return:;
14702 __Pyx_XGIVEREF(__pyx_t_1);
14703 __Pyx_XGIVEREF(__pyx_t_2);
14704 __Pyx_XGIVEREF(__pyx_t_3);
14705 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
14707 __pyx_L6_except_return:;
14708 __Pyx_XGIVEREF(__pyx_t_1);
14709 __Pyx_XGIVEREF(__pyx_t_2);
14710 __Pyx_XGIVEREF(__pyx_t_3);
14711 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
14725 __Pyx_XDECREF(__pyx_t_4);
14726 __Pyx_XDECREF(__pyx_t_5);
14727 __Pyx_XDECREF(__pyx_t_6);
14728 __Pyx_XDECREF(__pyx_t_7);
14729 __Pyx_XDECREF(__pyx_t_8);
14730 __Pyx_AddTraceback(
"PyClical.cosh", __pyx_clineno, __pyx_lineno, __pyx_filename);
14733 __Pyx_XGIVEREF(__pyx_r);
14734 __Pyx_RefNannyFinishContext();
14739 static PyObject *__pyx_pw_8PyClical_55cosh(PyObject *__pyx_self, PyObject *__pyx_v_obj);
14740 static char __pyx_doc_8PyClical_54cosh[] =
"\n Hyperbolic cosine of multivector.\n\n >>> x=clifford(\"{1,2}\") * pi; print cosh(x)\n -1\n >>> x=clifford(\"{1,2,3}\"); print cosh(acosh(x))\n {1,2,3}\n >>> x=clifford(\"{1,2}\"); print cosh(acosh(x))\n {1,2}\n ";
14741 static PyObject *__pyx_pw_8PyClical_55cosh(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
14742 PyObject *__pyx_r = 0;
14743 __Pyx_RefNannyDeclarations
14744 __Pyx_RefNannySetupContext(
"cosh (wrapper)", 0);
14745 __pyx_r = __pyx_pf_8PyClical_54cosh(__pyx_self, ((PyObject *)__pyx_v_obj));
14748 __Pyx_RefNannyFinishContext();
14752 static PyObject *__pyx_pf_8PyClical_54cosh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
14753 PyObject *__pyx_r = NULL;
14754 __Pyx_RefNannyDeclarations
14755 PyObject *__pyx_t_1 = NULL;
14756 __Pyx_RefNannySetupContext(
"cosh", 0);
14757 __Pyx_XDECREF(__pyx_r);
14758 __pyx_t_1 = __pyx_f_8PyClical_cosh(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1640, __pyx_L1_error)
14759 __Pyx_GOTREF(__pyx_t_1);
14760 __pyx_r = __pyx_t_1;
14766 __Pyx_XDECREF(__pyx_t_1);
14767 __Pyx_AddTraceback(
"PyClical.cosh", __pyx_clineno, __pyx_lineno, __pyx_filename);
14770 __Pyx_XGIVEREF(__pyx_r);
14771 __Pyx_RefNannyFinishContext();
14783 static PyObject *__pyx_pw_8PyClical_57acosh(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
14784 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_acosh(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_acosh *__pyx_optional_args) {
14785 PyObject *__pyx_v_i = ((PyObject *)Py_None);
14786 PyObject *__pyx_r = NULL;
14787 __Pyx_RefNannyDeclarations
14790 PyObject *__pyx_t_3 = NULL;
14792 PyObject *__pyx_t_5 = NULL;
14793 PyObject *__pyx_t_6 = NULL;
14794 PyObject *__pyx_t_7 = NULL;
14795 PyObject *__pyx_t_8 = NULL;
14796 PyObject *__pyx_t_9 = NULL;
14797 PyObject *__pyx_t_10 = NULL;
14798 PyObject *__pyx_t_11 = NULL;
14799 __Pyx_RefNannySetupContext(
"acosh", 0);
14800 if (__pyx_optional_args) {
14801 if (__pyx_optional_args->__pyx_n > 0) {
14802 __pyx_v_i = __pyx_optional_args->i;
14813 __pyx_t_1 = (__pyx_v_i != Py_None);
14814 __pyx_t_2 = (__pyx_t_1 != 0);
14824 __Pyx_XDECREF(__pyx_r);
14825 __pyx_t_3 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1672, __pyx_L1_error)
14826 __Pyx_GOTREF(__pyx_t_3);
14828 __pyx_t_4 =
acosh(__pyx_f_8PyClical_toClifford(__pyx_v_obj), __pyx_f_8PyClical_toClifford(__pyx_v_i));
14830 __Pyx_CppExn2PyErr();
14831 __PYX_ERR(0, 1672, __pyx_L1_error)
14833 __pyx_t_5 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_3), __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1672, __pyx_L1_error)
14834 __Pyx_GOTREF(__pyx_t_5);
14835 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
14836 __pyx_r = __pyx_t_5;
14858 __Pyx_PyThreadState_declare
14859 __Pyx_PyThreadState_assign
14860 __Pyx_ExceptionSave(&__pyx_t_6, &__pyx_t_7, &__pyx_t_8);
14861 __Pyx_XGOTREF(__pyx_t_6);
14862 __Pyx_XGOTREF(__pyx_t_7);
14863 __Pyx_XGOTREF(__pyx_t_8);
14873 __Pyx_XDECREF(__pyx_r);
14874 __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1675, __pyx_L4_error)
14875 __Pyx_GOTREF(__pyx_t_3);
14876 __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_acosh);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1675, __pyx_L4_error)
14877 __Pyx_GOTREF(__pyx_t_9);
14878 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
14880 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_9))) {
14881 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_9);
14882 if (likely(__pyx_t_3)) {
14883 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_9);
14884 __Pyx_INCREF(__pyx_t_3);
14885 __Pyx_INCREF(
function);
14886 __Pyx_DECREF_SET(__pyx_t_9,
function);
14889 __pyx_t_5 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_9, __pyx_t_3, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_9, __pyx_v_obj);
14890 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
14891 if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1675, __pyx_L4_error)
14892 __Pyx_GOTREF(__pyx_t_5);
14893 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
14894 __pyx_r = __pyx_t_5;
14896 goto __pyx_L8_try_return;
14907 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
14908 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
14909 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
14919 __Pyx_AddTraceback(
"PyClical.acosh", __pyx_clineno, __pyx_lineno, __pyx_filename);
14920 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_9, &__pyx_t_3) < 0) __PYX_ERR(0, 1676, __pyx_L6_except_error)
14921 __Pyx_GOTREF(__pyx_t_5);
14922 __Pyx_GOTREF(__pyx_t_9);
14923 __Pyx_GOTREF(__pyx_t_3);
14932 __Pyx_XDECREF(__pyx_r);
14933 __pyx_t_10 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1677, __pyx_L6_except_error)
14934 __Pyx_GOTREF(__pyx_t_10);
14935 __pyx_t_11 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_10),
acosh(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1677, __pyx_L6_except_error)
14936 __Pyx_GOTREF(__pyx_t_11);
14937 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
14938 __pyx_r = __pyx_t_11;
14940 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
14941 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
14942 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
14943 goto __pyx_L7_except_return;
14945 __pyx_L6_except_error:;
14954 __Pyx_XGIVEREF(__pyx_t_6);
14955 __Pyx_XGIVEREF(__pyx_t_7);
14956 __Pyx_XGIVEREF(__pyx_t_8);
14957 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
14958 goto __pyx_L1_error;
14959 __pyx_L8_try_return:;
14960 __Pyx_XGIVEREF(__pyx_t_6);
14961 __Pyx_XGIVEREF(__pyx_t_7);
14962 __Pyx_XGIVEREF(__pyx_t_8);
14963 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
14965 __pyx_L7_except_return:;
14966 __Pyx_XGIVEREF(__pyx_t_6);
14967 __Pyx_XGIVEREF(__pyx_t_7);
14968 __Pyx_XGIVEREF(__pyx_t_8);
14969 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
14984 __Pyx_XDECREF(__pyx_t_3);
14985 __Pyx_XDECREF(__pyx_t_5);
14986 __Pyx_XDECREF(__pyx_t_9);
14987 __Pyx_XDECREF(__pyx_t_10);
14988 __Pyx_XDECREF(__pyx_t_11);
14989 __Pyx_AddTraceback(
"PyClical.acosh", __pyx_clineno, __pyx_lineno, __pyx_filename);
14992 __Pyx_XGIVEREF(__pyx_r);
14993 __Pyx_RefNannyFinishContext();
14998 static PyObject *__pyx_pw_8PyClical_57acosh(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
14999 static char __pyx_doc_8PyClical_56acosh[] =
"\n Inverse hyperbolic cosine of multivector with optional complexifier.\n\n >>> print acosh(0,\"{-2,-1,1}\")\n 1.571{-2,-1,1}\n >>> x=clifford(\"{1,2,3}\"); print cosh(acosh(x,\"{-1,1,2,3,4}\"))\n {1,2,3}\n >>> print acosh(0)\n 1.571{-1}\n >>> x=clifford(\"{1,2,3}\"); print cosh(acosh(x))\n {1,2,3}\n >>> x=clifford(\"{1,2}\"); print cosh(acosh(x))\n {1,2}\n ";
15000 static PyObject *__pyx_pw_8PyClical_57acosh(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
15001 PyObject *__pyx_v_obj = 0;
15002 PyObject *__pyx_v_i = 0;
15003 PyObject *__pyx_r = 0;
15004 __Pyx_RefNannyDeclarations
15005 __Pyx_RefNannySetupContext(
"acosh (wrapper)", 0);
15007 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_i,0};
15008 PyObject* values[2] = {0,0};
15009 values[1] = ((PyObject *)Py_None);
15010 if (unlikely(__pyx_kwds)) {
15011 Py_ssize_t kw_args;
15012 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
15013 switch (pos_args) {
15014 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
15015 CYTHON_FALLTHROUGH;
15016 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
15017 CYTHON_FALLTHROUGH;
15019 default:
goto __pyx_L5_argtuple_error;
15021 kw_args = PyDict_Size(__pyx_kwds);
15022 switch (pos_args) {
15024 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
15025 else goto __pyx_L5_argtuple_error;
15026 CYTHON_FALLTHROUGH;
15029 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_i);
15030 if (value) { values[1] = value; kw_args--; }
15033 if (unlikely(kw_args > 0)) {
15034 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"acosh") < 0)) __PYX_ERR(0, 1656, __pyx_L3_error)
15037 switch (PyTuple_GET_SIZE(__pyx_args)) {
15038 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
15039 CYTHON_FALLTHROUGH;
15040 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
15042 default:
goto __pyx_L5_argtuple_error;
15045 __pyx_v_obj = values[0];
15046 __pyx_v_i = values[1];
15048 goto __pyx_L4_argument_unpacking_done;
15049 __pyx_L5_argtuple_error:;
15050 __Pyx_RaiseArgtupleInvalid(
"acosh", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1656, __pyx_L3_error)
15052 __Pyx_AddTraceback(
"PyClical.acosh", __pyx_clineno, __pyx_lineno, __pyx_filename);
15053 __Pyx_RefNannyFinishContext();
15055 __pyx_L4_argument_unpacking_done:;
15056 __pyx_r = __pyx_pf_8PyClical_56acosh(__pyx_self, __pyx_v_obj, __pyx_v_i);
15059 __Pyx_RefNannyFinishContext();
15063 static PyObject *__pyx_pf_8PyClical_56acosh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i) {
15064 PyObject *__pyx_r = NULL;
15065 __Pyx_RefNannyDeclarations
15066 PyObject *__pyx_t_1 = NULL;
15067 struct __pyx_opt_args_8PyClical_acosh __pyx_t_2;
15068 __Pyx_RefNannySetupContext(
"acosh", 0);
15069 __Pyx_XDECREF(__pyx_r);
15070 __pyx_t_2.__pyx_n = 1;
15071 __pyx_t_2.i = __pyx_v_i;
15072 __pyx_t_1 = __pyx_f_8PyClical_acosh(__pyx_v_obj, 0, &__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1656, __pyx_L1_error)
15073 __Pyx_GOTREF(__pyx_t_1);
15074 __pyx_r = __pyx_t_1;
15080 __Pyx_XDECREF(__pyx_t_1);
15081 __Pyx_AddTraceback(
"PyClical.acosh", __pyx_clineno, __pyx_lineno, __pyx_filename);
15084 __Pyx_XGIVEREF(__pyx_r);
15085 __Pyx_RefNannyFinishContext();
15097 static PyObject *__pyx_pw_8PyClical_59sin(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
15098 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sin(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_sin *__pyx_optional_args) {
15099 PyObject *__pyx_v_i = ((PyObject *)Py_None);
15100 PyObject *__pyx_r = NULL;
15101 __Pyx_RefNannyDeclarations
15104 PyObject *__pyx_t_3 = NULL;
15106 PyObject *__pyx_t_5 = NULL;
15107 PyObject *__pyx_t_6 = NULL;
15108 PyObject *__pyx_t_7 = NULL;
15109 PyObject *__pyx_t_8 = NULL;
15110 PyObject *__pyx_t_9 = NULL;
15111 PyObject *__pyx_t_10 = NULL;
15112 PyObject *__pyx_t_11 = NULL;
15113 __Pyx_RefNannySetupContext(
"sin", 0);
15114 if (__pyx_optional_args) {
15115 if (__pyx_optional_args->__pyx_n > 0) {
15116 __pyx_v_i = __pyx_optional_args->i;
15127 __pyx_t_1 = (__pyx_v_i != Py_None);
15128 __pyx_t_2 = (__pyx_t_1 != 0);
15138 __Pyx_XDECREF(__pyx_r);
15139 __pyx_t_3 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1691, __pyx_L1_error)
15140 __Pyx_GOTREF(__pyx_t_3);
15142 __pyx_t_4 =
sin(__pyx_f_8PyClical_toClifford(__pyx_v_obj), __pyx_f_8PyClical_toClifford(__pyx_v_i));
15144 __Pyx_CppExn2PyErr();
15145 __PYX_ERR(0, 1691, __pyx_L1_error)
15147 __pyx_t_5 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_3), __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1691, __pyx_L1_error)
15148 __Pyx_GOTREF(__pyx_t_5);
15149 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
15150 __pyx_r = __pyx_t_5;
15172 __Pyx_PyThreadState_declare
15173 __Pyx_PyThreadState_assign
15174 __Pyx_ExceptionSave(&__pyx_t_6, &__pyx_t_7, &__pyx_t_8);
15175 __Pyx_XGOTREF(__pyx_t_6);
15176 __Pyx_XGOTREF(__pyx_t_7);
15177 __Pyx_XGOTREF(__pyx_t_8);
15187 __Pyx_XDECREF(__pyx_r);
15188 __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1694, __pyx_L4_error)
15189 __Pyx_GOTREF(__pyx_t_3);
15190 __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_sin);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1694, __pyx_L4_error)
15191 __Pyx_GOTREF(__pyx_t_9);
15192 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
15194 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_9))) {
15195 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_9);
15196 if (likely(__pyx_t_3)) {
15197 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_9);
15198 __Pyx_INCREF(__pyx_t_3);
15199 __Pyx_INCREF(
function);
15200 __Pyx_DECREF_SET(__pyx_t_9,
function);
15203 __pyx_t_5 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_9, __pyx_t_3, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_9, __pyx_v_obj);
15204 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
15205 if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1694, __pyx_L4_error)
15206 __Pyx_GOTREF(__pyx_t_5);
15207 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
15208 __pyx_r = __pyx_t_5;
15210 goto __pyx_L8_try_return;
15221 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
15222 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
15223 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
15233 __Pyx_AddTraceback(
"PyClical.sin", __pyx_clineno, __pyx_lineno, __pyx_filename);
15234 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_9, &__pyx_t_3) < 0) __PYX_ERR(0, 1695, __pyx_L6_except_error)
15235 __Pyx_GOTREF(__pyx_t_5);
15236 __Pyx_GOTREF(__pyx_t_9);
15237 __Pyx_GOTREF(__pyx_t_3);
15246 __Pyx_XDECREF(__pyx_r);
15247 __pyx_t_10 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1696, __pyx_L6_except_error)
15248 __Pyx_GOTREF(__pyx_t_10);
15249 __pyx_t_11 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_10),
sin(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1696, __pyx_L6_except_error)
15250 __Pyx_GOTREF(__pyx_t_11);
15251 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
15252 __pyx_r = __pyx_t_11;
15254 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
15255 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
15256 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
15257 goto __pyx_L7_except_return;
15259 __pyx_L6_except_error:;
15268 __Pyx_XGIVEREF(__pyx_t_6);
15269 __Pyx_XGIVEREF(__pyx_t_7);
15270 __Pyx_XGIVEREF(__pyx_t_8);
15271 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
15272 goto __pyx_L1_error;
15273 __pyx_L8_try_return:;
15274 __Pyx_XGIVEREF(__pyx_t_6);
15275 __Pyx_XGIVEREF(__pyx_t_7);
15276 __Pyx_XGIVEREF(__pyx_t_8);
15277 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
15279 __pyx_L7_except_return:;
15280 __Pyx_XGIVEREF(__pyx_t_6);
15281 __Pyx_XGIVEREF(__pyx_t_7);
15282 __Pyx_XGIVEREF(__pyx_t_8);
15283 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
15298 __Pyx_XDECREF(__pyx_t_3);
15299 __Pyx_XDECREF(__pyx_t_5);
15300 __Pyx_XDECREF(__pyx_t_9);
15301 __Pyx_XDECREF(__pyx_t_10);
15302 __Pyx_XDECREF(__pyx_t_11);
15303 __Pyx_AddTraceback(
"PyClical.sin", __pyx_clineno, __pyx_lineno, __pyx_filename);
15306 __Pyx_XGIVEREF(__pyx_r);
15307 __Pyx_RefNannyFinishContext();
15312 static PyObject *__pyx_pw_8PyClical_59sin(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
15313 static char __pyx_doc_8PyClical_58sin[] =
"\n Sine of multivector with optional complexifier.\n\n >>> s=\"{-1}\"; x=clifford(s); print asin(sin(x,s),s)\n {-1}\n >>> s=\"{-1}\"; x=clifford(s); print asin(sin(x,s),\"{-2,-1,1}\")\n {-1}\n >>> x=clifford(\"{1,2,3}\"); print asin(sin(x))\n {1,2,3}\n ";
15314 static PyObject *__pyx_pw_8PyClical_59sin(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
15315 PyObject *__pyx_v_obj = 0;
15316 PyObject *__pyx_v_i = 0;
15317 PyObject *__pyx_r = 0;
15318 __Pyx_RefNannyDeclarations
15319 __Pyx_RefNannySetupContext(
"sin (wrapper)", 0);
15321 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_i,0};
15322 PyObject* values[2] = {0,0};
15323 values[1] = ((PyObject *)Py_None);
15324 if (unlikely(__pyx_kwds)) {
15325 Py_ssize_t kw_args;
15326 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
15327 switch (pos_args) {
15328 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
15329 CYTHON_FALLTHROUGH;
15330 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
15331 CYTHON_FALLTHROUGH;
15333 default:
goto __pyx_L5_argtuple_error;
15335 kw_args = PyDict_Size(__pyx_kwds);
15336 switch (pos_args) {
15338 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
15339 else goto __pyx_L5_argtuple_error;
15340 CYTHON_FALLTHROUGH;
15343 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_i);
15344 if (value) { values[1] = value; kw_args--; }
15347 if (unlikely(kw_args > 0)) {
15348 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"sin") < 0)) __PYX_ERR(0, 1679, __pyx_L3_error)
15351 switch (PyTuple_GET_SIZE(__pyx_args)) {
15352 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
15353 CYTHON_FALLTHROUGH;
15354 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
15356 default:
goto __pyx_L5_argtuple_error;
15359 __pyx_v_obj = values[0];
15360 __pyx_v_i = values[1];
15362 goto __pyx_L4_argument_unpacking_done;
15363 __pyx_L5_argtuple_error:;
15364 __Pyx_RaiseArgtupleInvalid(
"sin", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1679, __pyx_L3_error)
15366 __Pyx_AddTraceback(
"PyClical.sin", __pyx_clineno, __pyx_lineno, __pyx_filename);
15367 __Pyx_RefNannyFinishContext();
15369 __pyx_L4_argument_unpacking_done:;
15370 __pyx_r = __pyx_pf_8PyClical_58sin(__pyx_self, __pyx_v_obj, __pyx_v_i);
15373 __Pyx_RefNannyFinishContext();
15377 static PyObject *__pyx_pf_8PyClical_58sin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i) {
15378 PyObject *__pyx_r = NULL;
15379 __Pyx_RefNannyDeclarations
15380 PyObject *__pyx_t_1 = NULL;
15381 struct __pyx_opt_args_8PyClical_sin __pyx_t_2;
15382 __Pyx_RefNannySetupContext(
"sin", 0);
15383 __Pyx_XDECREF(__pyx_r);
15384 __pyx_t_2.__pyx_n = 1;
15385 __pyx_t_2.i = __pyx_v_i;
15386 __pyx_t_1 = __pyx_f_8PyClical_sin(__pyx_v_obj, 0, &__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1679, __pyx_L1_error)
15387 __Pyx_GOTREF(__pyx_t_1);
15388 __pyx_r = __pyx_t_1;
15394 __Pyx_XDECREF(__pyx_t_1);
15395 __Pyx_AddTraceback(
"PyClical.sin", __pyx_clineno, __pyx_lineno, __pyx_filename);
15398 __Pyx_XGIVEREF(__pyx_r);
15399 __Pyx_RefNannyFinishContext();
15411 static PyObject *__pyx_pw_8PyClical_61asin(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
15412 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_asin(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_asin *__pyx_optional_args) {
15413 PyObject *__pyx_v_i = ((PyObject *)Py_None);
15414 PyObject *__pyx_r = NULL;
15415 __Pyx_RefNannyDeclarations
15418 PyObject *__pyx_t_3 = NULL;
15420 PyObject *__pyx_t_5 = NULL;
15421 PyObject *__pyx_t_6 = NULL;
15422 PyObject *__pyx_t_7 = NULL;
15423 PyObject *__pyx_t_8 = NULL;
15424 PyObject *__pyx_t_9 = NULL;
15425 PyObject *__pyx_t_10 = NULL;
15426 PyObject *__pyx_t_11 = NULL;
15427 __Pyx_RefNannySetupContext(
"asin", 0);
15428 if (__pyx_optional_args) {
15429 if (__pyx_optional_args->__pyx_n > 0) {
15430 __pyx_v_i = __pyx_optional_args->i;
15441 __pyx_t_1 = (__pyx_v_i != Py_None);
15442 __pyx_t_2 = (__pyx_t_1 != 0);
15452 __Pyx_XDECREF(__pyx_r);
15453 __pyx_t_3 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1712, __pyx_L1_error)
15454 __Pyx_GOTREF(__pyx_t_3);
15456 __pyx_t_4 =
asin(__pyx_f_8PyClical_toClifford(__pyx_v_obj), __pyx_f_8PyClical_toClifford(__pyx_v_i));
15458 __Pyx_CppExn2PyErr();
15459 __PYX_ERR(0, 1712, __pyx_L1_error)
15461 __pyx_t_5 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_3), __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1712, __pyx_L1_error)
15462 __Pyx_GOTREF(__pyx_t_5);
15463 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
15464 __pyx_r = __pyx_t_5;
15486 __Pyx_PyThreadState_declare
15487 __Pyx_PyThreadState_assign
15488 __Pyx_ExceptionSave(&__pyx_t_6, &__pyx_t_7, &__pyx_t_8);
15489 __Pyx_XGOTREF(__pyx_t_6);
15490 __Pyx_XGOTREF(__pyx_t_7);
15491 __Pyx_XGOTREF(__pyx_t_8);
15501 __Pyx_XDECREF(__pyx_r);
15502 __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1715, __pyx_L4_error)
15503 __Pyx_GOTREF(__pyx_t_3);
15504 __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_asin);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1715, __pyx_L4_error)
15505 __Pyx_GOTREF(__pyx_t_9);
15506 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
15508 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_9))) {
15509 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_9);
15510 if (likely(__pyx_t_3)) {
15511 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_9);
15512 __Pyx_INCREF(__pyx_t_3);
15513 __Pyx_INCREF(
function);
15514 __Pyx_DECREF_SET(__pyx_t_9,
function);
15517 __pyx_t_5 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_9, __pyx_t_3, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_9, __pyx_v_obj);
15518 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
15519 if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1715, __pyx_L4_error)
15520 __Pyx_GOTREF(__pyx_t_5);
15521 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
15522 __pyx_r = __pyx_t_5;
15524 goto __pyx_L8_try_return;
15535 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
15536 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
15537 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
15547 __Pyx_AddTraceback(
"PyClical.asin", __pyx_clineno, __pyx_lineno, __pyx_filename);
15548 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_9, &__pyx_t_3) < 0) __PYX_ERR(0, 1716, __pyx_L6_except_error)
15549 __Pyx_GOTREF(__pyx_t_5);
15550 __Pyx_GOTREF(__pyx_t_9);
15551 __Pyx_GOTREF(__pyx_t_3);
15560 __Pyx_XDECREF(__pyx_r);
15561 __pyx_t_10 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1717, __pyx_L6_except_error)
15562 __Pyx_GOTREF(__pyx_t_10);
15563 __pyx_t_11 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_10),
asin(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1717, __pyx_L6_except_error)
15564 __Pyx_GOTREF(__pyx_t_11);
15565 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
15566 __pyx_r = __pyx_t_11;
15568 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
15569 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
15570 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
15571 goto __pyx_L7_except_return;
15573 __pyx_L6_except_error:;
15582 __Pyx_XGIVEREF(__pyx_t_6);
15583 __Pyx_XGIVEREF(__pyx_t_7);
15584 __Pyx_XGIVEREF(__pyx_t_8);
15585 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
15586 goto __pyx_L1_error;
15587 __pyx_L8_try_return:;
15588 __Pyx_XGIVEREF(__pyx_t_6);
15589 __Pyx_XGIVEREF(__pyx_t_7);
15590 __Pyx_XGIVEREF(__pyx_t_8);
15591 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
15593 __pyx_L7_except_return:;
15594 __Pyx_XGIVEREF(__pyx_t_6);
15595 __Pyx_XGIVEREF(__pyx_t_7);
15596 __Pyx_XGIVEREF(__pyx_t_8);
15597 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
15612 __Pyx_XDECREF(__pyx_t_3);
15613 __Pyx_XDECREF(__pyx_t_5);
15614 __Pyx_XDECREF(__pyx_t_9);
15615 __Pyx_XDECREF(__pyx_t_10);
15616 __Pyx_XDECREF(__pyx_t_11);
15617 __Pyx_AddTraceback(
"PyClical.asin", __pyx_clineno, __pyx_lineno, __pyx_filename);
15620 __Pyx_XGIVEREF(__pyx_r);
15621 __Pyx_RefNannyFinishContext();
15626 static PyObject *__pyx_pw_8PyClical_61asin(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
15627 static char __pyx_doc_8PyClical_60asin[] =
"\n Inverse sine of multivector with optional complexifier.\n\n >>> s=\"{-1}\"; x=clifford(s); print asin(sin(x,s),s)\n {-1}\n >>> s=\"{-1}\"; x=clifford(s); print asin(sin(x,s),\"{-2,-1,1}\")\n {-1}\n >>> print asin(1) / pi\n 0.5\n >>> x=clifford(\"{1,2,3}\"); print asin(sin(x))\n {1,2,3}\n ";
15628 static PyObject *__pyx_pw_8PyClical_61asin(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
15629 PyObject *__pyx_v_obj = 0;
15630 PyObject *__pyx_v_i = 0;
15631 PyObject *__pyx_r = 0;
15632 __Pyx_RefNannyDeclarations
15633 __Pyx_RefNannySetupContext(
"asin (wrapper)", 0);
15635 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_i,0};
15636 PyObject* values[2] = {0,0};
15637 values[1] = ((PyObject *)Py_None);
15638 if (unlikely(__pyx_kwds)) {
15639 Py_ssize_t kw_args;
15640 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
15641 switch (pos_args) {
15642 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
15643 CYTHON_FALLTHROUGH;
15644 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
15645 CYTHON_FALLTHROUGH;
15647 default:
goto __pyx_L5_argtuple_error;
15649 kw_args = PyDict_Size(__pyx_kwds);
15650 switch (pos_args) {
15652 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
15653 else goto __pyx_L5_argtuple_error;
15654 CYTHON_FALLTHROUGH;
15657 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_i);
15658 if (value) { values[1] = value; kw_args--; }
15661 if (unlikely(kw_args > 0)) {
15662 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"asin") < 0)) __PYX_ERR(0, 1698, __pyx_L3_error)
15665 switch (PyTuple_GET_SIZE(__pyx_args)) {
15666 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
15667 CYTHON_FALLTHROUGH;
15668 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
15670 default:
goto __pyx_L5_argtuple_error;
15673 __pyx_v_obj = values[0];
15674 __pyx_v_i = values[1];
15676 goto __pyx_L4_argument_unpacking_done;
15677 __pyx_L5_argtuple_error:;
15678 __Pyx_RaiseArgtupleInvalid(
"asin", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1698, __pyx_L3_error)
15680 __Pyx_AddTraceback(
"PyClical.asin", __pyx_clineno, __pyx_lineno, __pyx_filename);
15681 __Pyx_RefNannyFinishContext();
15683 __pyx_L4_argument_unpacking_done:;
15684 __pyx_r = __pyx_pf_8PyClical_60asin(__pyx_self, __pyx_v_obj, __pyx_v_i);
15687 __Pyx_RefNannyFinishContext();
15691 static PyObject *__pyx_pf_8PyClical_60asin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i) {
15692 PyObject *__pyx_r = NULL;
15693 __Pyx_RefNannyDeclarations
15694 PyObject *__pyx_t_1 = NULL;
15695 struct __pyx_opt_args_8PyClical_asin __pyx_t_2;
15696 __Pyx_RefNannySetupContext(
"asin", 0);
15697 __Pyx_XDECREF(__pyx_r);
15698 __pyx_t_2.__pyx_n = 1;
15699 __pyx_t_2.i = __pyx_v_i;
15700 __pyx_t_1 = __pyx_f_8PyClical_asin(__pyx_v_obj, 0, &__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1698, __pyx_L1_error)
15701 __Pyx_GOTREF(__pyx_t_1);
15702 __pyx_r = __pyx_t_1;
15708 __Pyx_XDECREF(__pyx_t_1);
15709 __Pyx_AddTraceback(
"PyClical.asin", __pyx_clineno, __pyx_lineno, __pyx_filename);
15712 __Pyx_XGIVEREF(__pyx_r);
15713 __Pyx_RefNannyFinishContext();
15725 static PyObject *__pyx_pw_8PyClical_63sinh(PyObject *__pyx_self, PyObject *__pyx_v_obj);
15726 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sinh(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
15727 PyObject *__pyx_r = NULL;
15728 __Pyx_RefNannyDeclarations
15729 PyObject *__pyx_t_1 = NULL;
15730 PyObject *__pyx_t_2 = NULL;
15731 PyObject *__pyx_t_3 = NULL;
15732 PyObject *__pyx_t_4 = NULL;
15733 PyObject *__pyx_t_5 = NULL;
15734 PyObject *__pyx_t_6 = NULL;
15735 PyObject *__pyx_t_7 = NULL;
15736 PyObject *__pyx_t_8 = NULL;
15737 __Pyx_RefNannySetupContext(
"sinh", 0);
15747 __Pyx_PyThreadState_declare
15748 __Pyx_PyThreadState_assign
15749 __Pyx_ExceptionSave(&__pyx_t_1, &__pyx_t_2, &__pyx_t_3);
15750 __Pyx_XGOTREF(__pyx_t_1);
15751 __Pyx_XGOTREF(__pyx_t_2);
15752 __Pyx_XGOTREF(__pyx_t_3);
15762 __Pyx_XDECREF(__pyx_r);
15763 __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_math);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1729, __pyx_L3_error)
15764 __Pyx_GOTREF(__pyx_t_5);
15765 __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_sinh);
if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1729, __pyx_L3_error)
15766 __Pyx_GOTREF(__pyx_t_6);
15767 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
15769 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_6))) {
15770 __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_6);
15771 if (likely(__pyx_t_5)) {
15772 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_6);
15773 __Pyx_INCREF(__pyx_t_5);
15774 __Pyx_INCREF(
function);
15775 __Pyx_DECREF_SET(__pyx_t_6,
function);
15778 __pyx_t_4 = (__pyx_t_5) ? __Pyx_PyObject_Call2Args(__pyx_t_6, __pyx_t_5, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_6, __pyx_v_obj);
15779 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
15780 if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1729, __pyx_L3_error)
15781 __Pyx_GOTREF(__pyx_t_4);
15782 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
15783 __pyx_r = __pyx_t_4;
15785 goto __pyx_L7_try_return;
15796 __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
15797 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
15798 __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
15808 __Pyx_AddTraceback(
"PyClical.sinh", __pyx_clineno, __pyx_lineno, __pyx_filename);
15809 if (__Pyx_GetException(&__pyx_t_4, &__pyx_t_6, &__pyx_t_5) < 0) __PYX_ERR(0, 1730, __pyx_L5_except_error)
15810 __Pyx_GOTREF(__pyx_t_4);
15811 __Pyx_GOTREF(__pyx_t_6);
15812 __Pyx_GOTREF(__pyx_t_5);
15821 __Pyx_XDECREF(__pyx_r);
15822 __pyx_t_7 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1731, __pyx_L5_except_error)
15823 __Pyx_GOTREF(__pyx_t_7);
15824 __pyx_t_8 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_7),
sinh(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1731, __pyx_L5_except_error)
15825 __Pyx_GOTREF(__pyx_t_8);
15826 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
15827 __pyx_r = __pyx_t_8;
15829 __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
15830 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
15831 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
15832 goto __pyx_L6_except_return;
15834 __pyx_L5_except_error:;
15843 __Pyx_XGIVEREF(__pyx_t_1);
15844 __Pyx_XGIVEREF(__pyx_t_2);
15845 __Pyx_XGIVEREF(__pyx_t_3);
15846 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
15847 goto __pyx_L1_error;
15848 __pyx_L7_try_return:;
15849 __Pyx_XGIVEREF(__pyx_t_1);
15850 __Pyx_XGIVEREF(__pyx_t_2);
15851 __Pyx_XGIVEREF(__pyx_t_3);
15852 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
15854 __pyx_L6_except_return:;
15855 __Pyx_XGIVEREF(__pyx_t_1);
15856 __Pyx_XGIVEREF(__pyx_t_2);
15857 __Pyx_XGIVEREF(__pyx_t_3);
15858 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
15872 __Pyx_XDECREF(__pyx_t_4);
15873 __Pyx_XDECREF(__pyx_t_5);
15874 __Pyx_XDECREF(__pyx_t_6);
15875 __Pyx_XDECREF(__pyx_t_7);
15876 __Pyx_XDECREF(__pyx_t_8);
15877 __Pyx_AddTraceback(
"PyClical.sinh", __pyx_clineno, __pyx_lineno, __pyx_filename);
15880 __Pyx_XGIVEREF(__pyx_r);
15881 __Pyx_RefNannyFinishContext();
15886 static PyObject *__pyx_pw_8PyClical_63sinh(PyObject *__pyx_self, PyObject *__pyx_v_obj);
15887 static char __pyx_doc_8PyClical_62sinh[] =
"\n Hyperbolic sine of multivector.\n\n >>> x=clifford(\"{1,2}\") * pi/2; print sinh(x)\n {1,2}\n >>> x=clifford(\"{1,2}\") * pi/6; print sinh(x)\n 0.5{1,2}\n ";
15888 static PyObject *__pyx_pw_8PyClical_63sinh(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
15889 PyObject *__pyx_r = 0;
15890 __Pyx_RefNannyDeclarations
15891 __Pyx_RefNannySetupContext(
"sinh (wrapper)", 0);
15892 __pyx_r = __pyx_pf_8PyClical_62sinh(__pyx_self, ((PyObject *)__pyx_v_obj));
15895 __Pyx_RefNannyFinishContext();
15899 static PyObject *__pyx_pf_8PyClical_62sinh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
15900 PyObject *__pyx_r = NULL;
15901 __Pyx_RefNannyDeclarations
15902 PyObject *__pyx_t_1 = NULL;
15903 __Pyx_RefNannySetupContext(
"sinh", 0);
15904 __Pyx_XDECREF(__pyx_r);
15905 __pyx_t_1 = __pyx_f_8PyClical_sinh(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1719, __pyx_L1_error)
15906 __Pyx_GOTREF(__pyx_t_1);
15907 __pyx_r = __pyx_t_1;
15913 __Pyx_XDECREF(__pyx_t_1);
15914 __Pyx_AddTraceback(
"PyClical.sinh", __pyx_clineno, __pyx_lineno, __pyx_filename);
15917 __Pyx_XGIVEREF(__pyx_r);
15918 __Pyx_RefNannyFinishContext();
15930 static PyObject *__pyx_pw_8PyClical_65asinh(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
15931 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_asinh(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_asinh *__pyx_optional_args) {
15932 PyObject *__pyx_v_i = ((PyObject *)Py_None);
15933 PyObject *__pyx_r = NULL;
15934 __Pyx_RefNannyDeclarations
15937 PyObject *__pyx_t_3 = NULL;
15939 PyObject *__pyx_t_5 = NULL;
15940 PyObject *__pyx_t_6 = NULL;
15941 PyObject *__pyx_t_7 = NULL;
15942 PyObject *__pyx_t_8 = NULL;
15943 PyObject *__pyx_t_9 = NULL;
15944 PyObject *__pyx_t_10 = NULL;
15945 PyObject *__pyx_t_11 = NULL;
15946 __Pyx_RefNannySetupContext(
"asinh", 0);
15947 if (__pyx_optional_args) {
15948 if (__pyx_optional_args->__pyx_n > 0) {
15949 __pyx_v_i = __pyx_optional_args->i;
15960 __pyx_t_1 = (__pyx_v_i != Py_None);
15961 __pyx_t_2 = (__pyx_t_1 != 0);
15971 __Pyx_XDECREF(__pyx_r);
15972 __pyx_t_3 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1745, __pyx_L1_error)
15973 __Pyx_GOTREF(__pyx_t_3);
15975 __pyx_t_4 =
asinh(__pyx_f_8PyClical_toClifford(__pyx_v_obj), __pyx_f_8PyClical_toClifford(__pyx_v_i));
15977 __Pyx_CppExn2PyErr();
15978 __PYX_ERR(0, 1745, __pyx_L1_error)
15980 __pyx_t_5 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_3), __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1745, __pyx_L1_error)
15981 __Pyx_GOTREF(__pyx_t_5);
15982 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
15983 __pyx_r = __pyx_t_5;
16005 __Pyx_PyThreadState_declare
16006 __Pyx_PyThreadState_assign
16007 __Pyx_ExceptionSave(&__pyx_t_6, &__pyx_t_7, &__pyx_t_8);
16008 __Pyx_XGOTREF(__pyx_t_6);
16009 __Pyx_XGOTREF(__pyx_t_7);
16010 __Pyx_XGOTREF(__pyx_t_8);
16020 __Pyx_XDECREF(__pyx_r);
16021 __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1748, __pyx_L4_error)
16022 __Pyx_GOTREF(__pyx_t_3);
16023 __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_asinh);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1748, __pyx_L4_error)
16024 __Pyx_GOTREF(__pyx_t_9);
16025 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
16027 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_9))) {
16028 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_9);
16029 if (likely(__pyx_t_3)) {
16030 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_9);
16031 __Pyx_INCREF(__pyx_t_3);
16032 __Pyx_INCREF(
function);
16033 __Pyx_DECREF_SET(__pyx_t_9,
function);
16036 __pyx_t_5 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_9, __pyx_t_3, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_9, __pyx_v_obj);
16037 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
16038 if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1748, __pyx_L4_error)
16039 __Pyx_GOTREF(__pyx_t_5);
16040 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
16041 __pyx_r = __pyx_t_5;
16043 goto __pyx_L8_try_return;
16054 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
16055 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
16056 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
16066 __Pyx_AddTraceback(
"PyClical.asinh", __pyx_clineno, __pyx_lineno, __pyx_filename);
16067 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_9, &__pyx_t_3) < 0) __PYX_ERR(0, 1749, __pyx_L6_except_error)
16068 __Pyx_GOTREF(__pyx_t_5);
16069 __Pyx_GOTREF(__pyx_t_9);
16070 __Pyx_GOTREF(__pyx_t_3);
16079 __Pyx_XDECREF(__pyx_r);
16080 __pyx_t_10 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1750, __pyx_L6_except_error)
16081 __Pyx_GOTREF(__pyx_t_10);
16082 __pyx_t_11 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_10),
asinh(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1750, __pyx_L6_except_error)
16083 __Pyx_GOTREF(__pyx_t_11);
16084 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
16085 __pyx_r = __pyx_t_11;
16087 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
16088 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
16089 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
16090 goto __pyx_L7_except_return;
16092 __pyx_L6_except_error:;
16101 __Pyx_XGIVEREF(__pyx_t_6);
16102 __Pyx_XGIVEREF(__pyx_t_7);
16103 __Pyx_XGIVEREF(__pyx_t_8);
16104 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
16105 goto __pyx_L1_error;
16106 __pyx_L8_try_return:;
16107 __Pyx_XGIVEREF(__pyx_t_6);
16108 __Pyx_XGIVEREF(__pyx_t_7);
16109 __Pyx_XGIVEREF(__pyx_t_8);
16110 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
16112 __pyx_L7_except_return:;
16113 __Pyx_XGIVEREF(__pyx_t_6);
16114 __Pyx_XGIVEREF(__pyx_t_7);
16115 __Pyx_XGIVEREF(__pyx_t_8);
16116 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
16131 __Pyx_XDECREF(__pyx_t_3);
16132 __Pyx_XDECREF(__pyx_t_5);
16133 __Pyx_XDECREF(__pyx_t_9);
16134 __Pyx_XDECREF(__pyx_t_10);
16135 __Pyx_XDECREF(__pyx_t_11);
16136 __Pyx_AddTraceback(
"PyClical.asinh", __pyx_clineno, __pyx_lineno, __pyx_filename);
16139 __Pyx_XGIVEREF(__pyx_r);
16140 __Pyx_RefNannyFinishContext();
16145 static PyObject *__pyx_pw_8PyClical_65asinh(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
16146 static char __pyx_doc_8PyClical_64asinh[] =
"\n Inverse hyperbolic sine of multivector with optional complexifier.\n\n >>> x=clifford(\"{1,2}\"); print asinh(x,\"{1,2,3}\") * 2/pi\n {1,2}\n >>> x=clifford(\"{1,2}\"); print asinh(x) * 2/pi\n {1,2}\n >>> x=clifford(\"{1,2}\") / 2; print asinh(x) * 6/pi\n {1,2}\n ";
16147 static PyObject *__pyx_pw_8PyClical_65asinh(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
16148 PyObject *__pyx_v_obj = 0;
16149 PyObject *__pyx_v_i = 0;
16150 PyObject *__pyx_r = 0;
16151 __Pyx_RefNannyDeclarations
16152 __Pyx_RefNannySetupContext(
"asinh (wrapper)", 0);
16154 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_i,0};
16155 PyObject* values[2] = {0,0};
16156 values[1] = ((PyObject *)Py_None);
16157 if (unlikely(__pyx_kwds)) {
16158 Py_ssize_t kw_args;
16159 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
16160 switch (pos_args) {
16161 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
16162 CYTHON_FALLTHROUGH;
16163 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
16164 CYTHON_FALLTHROUGH;
16166 default:
goto __pyx_L5_argtuple_error;
16168 kw_args = PyDict_Size(__pyx_kwds);
16169 switch (pos_args) {
16171 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
16172 else goto __pyx_L5_argtuple_error;
16173 CYTHON_FALLTHROUGH;
16176 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_i);
16177 if (value) { values[1] = value; kw_args--; }
16180 if (unlikely(kw_args > 0)) {
16181 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"asinh") < 0)) __PYX_ERR(0, 1733, __pyx_L3_error)
16184 switch (PyTuple_GET_SIZE(__pyx_args)) {
16185 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
16186 CYTHON_FALLTHROUGH;
16187 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
16189 default:
goto __pyx_L5_argtuple_error;
16192 __pyx_v_obj = values[0];
16193 __pyx_v_i = values[1];
16195 goto __pyx_L4_argument_unpacking_done;
16196 __pyx_L5_argtuple_error:;
16197 __Pyx_RaiseArgtupleInvalid(
"asinh", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1733, __pyx_L3_error)
16199 __Pyx_AddTraceback(
"PyClical.asinh", __pyx_clineno, __pyx_lineno, __pyx_filename);
16200 __Pyx_RefNannyFinishContext();
16202 __pyx_L4_argument_unpacking_done:;
16203 __pyx_r = __pyx_pf_8PyClical_64asinh(__pyx_self, __pyx_v_obj, __pyx_v_i);
16206 __Pyx_RefNannyFinishContext();
16210 static PyObject *__pyx_pf_8PyClical_64asinh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i) {
16211 PyObject *__pyx_r = NULL;
16212 __Pyx_RefNannyDeclarations
16213 PyObject *__pyx_t_1 = NULL;
16214 struct __pyx_opt_args_8PyClical_asinh __pyx_t_2;
16215 __Pyx_RefNannySetupContext(
"asinh", 0);
16216 __Pyx_XDECREF(__pyx_r);
16217 __pyx_t_2.__pyx_n = 1;
16218 __pyx_t_2.i = __pyx_v_i;
16219 __pyx_t_1 = __pyx_f_8PyClical_asinh(__pyx_v_obj, 0, &__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1733, __pyx_L1_error)
16220 __Pyx_GOTREF(__pyx_t_1);
16221 __pyx_r = __pyx_t_1;
16227 __Pyx_XDECREF(__pyx_t_1);
16228 __Pyx_AddTraceback(
"PyClical.asinh", __pyx_clineno, __pyx_lineno, __pyx_filename);
16231 __Pyx_XGIVEREF(__pyx_r);
16232 __Pyx_RefNannyFinishContext();
16244 static PyObject *__pyx_pw_8PyClical_67tan(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
16245 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_tan(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_tan *__pyx_optional_args) {
16246 PyObject *__pyx_v_i = ((PyObject *)Py_None);
16247 PyObject *__pyx_r = NULL;
16248 __Pyx_RefNannyDeclarations
16251 PyObject *__pyx_t_3 = NULL;
16253 PyObject *__pyx_t_5 = NULL;
16254 PyObject *__pyx_t_6 = NULL;
16255 PyObject *__pyx_t_7 = NULL;
16256 PyObject *__pyx_t_8 = NULL;
16257 PyObject *__pyx_t_9 = NULL;
16258 PyObject *__pyx_t_10 = NULL;
16259 PyObject *__pyx_t_11 = NULL;
16260 __Pyx_RefNannySetupContext(
"tan", 0);
16261 if (__pyx_optional_args) {
16262 if (__pyx_optional_args->__pyx_n > 0) {
16263 __pyx_v_i = __pyx_optional_args->i;
16274 __pyx_t_1 = (__pyx_v_i != Py_None);
16275 __pyx_t_2 = (__pyx_t_1 != 0);
16285 __Pyx_XDECREF(__pyx_r);
16286 __pyx_t_3 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1762, __pyx_L1_error)
16287 __Pyx_GOTREF(__pyx_t_3);
16289 __pyx_t_4 =
tan(__pyx_f_8PyClical_toClifford(__pyx_v_obj), __pyx_f_8PyClical_toClifford(__pyx_v_i));
16291 __Pyx_CppExn2PyErr();
16292 __PYX_ERR(0, 1762, __pyx_L1_error)
16294 __pyx_t_5 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_3), __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1762, __pyx_L1_error)
16295 __Pyx_GOTREF(__pyx_t_5);
16296 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
16297 __pyx_r = __pyx_t_5;
16319 __Pyx_PyThreadState_declare
16320 __Pyx_PyThreadState_assign
16321 __Pyx_ExceptionSave(&__pyx_t_6, &__pyx_t_7, &__pyx_t_8);
16322 __Pyx_XGOTREF(__pyx_t_6);
16323 __Pyx_XGOTREF(__pyx_t_7);
16324 __Pyx_XGOTREF(__pyx_t_8);
16334 __Pyx_XDECREF(__pyx_r);
16335 __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1765, __pyx_L4_error)
16336 __Pyx_GOTREF(__pyx_t_3);
16337 __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_tan);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1765, __pyx_L4_error)
16338 __Pyx_GOTREF(__pyx_t_9);
16339 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
16341 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_9))) {
16342 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_9);
16343 if (likely(__pyx_t_3)) {
16344 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_9);
16345 __Pyx_INCREF(__pyx_t_3);
16346 __Pyx_INCREF(
function);
16347 __Pyx_DECREF_SET(__pyx_t_9,
function);
16350 __pyx_t_5 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_9, __pyx_t_3, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_9, __pyx_v_obj);
16351 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
16352 if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1765, __pyx_L4_error)
16353 __Pyx_GOTREF(__pyx_t_5);
16354 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
16355 __pyx_r = __pyx_t_5;
16357 goto __pyx_L8_try_return;
16368 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
16369 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
16370 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
16380 __Pyx_AddTraceback(
"PyClical.tan", __pyx_clineno, __pyx_lineno, __pyx_filename);
16381 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_9, &__pyx_t_3) < 0) __PYX_ERR(0, 1766, __pyx_L6_except_error)
16382 __Pyx_GOTREF(__pyx_t_5);
16383 __Pyx_GOTREF(__pyx_t_9);
16384 __Pyx_GOTREF(__pyx_t_3);
16393 __Pyx_XDECREF(__pyx_r);
16394 __pyx_t_10 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1767, __pyx_L6_except_error)
16395 __Pyx_GOTREF(__pyx_t_10);
16396 __pyx_t_11 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_10),
tan(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1767, __pyx_L6_except_error)
16397 __Pyx_GOTREF(__pyx_t_11);
16398 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
16399 __pyx_r = __pyx_t_11;
16401 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
16402 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
16403 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
16404 goto __pyx_L7_except_return;
16406 __pyx_L6_except_error:;
16415 __Pyx_XGIVEREF(__pyx_t_6);
16416 __Pyx_XGIVEREF(__pyx_t_7);
16417 __Pyx_XGIVEREF(__pyx_t_8);
16418 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
16419 goto __pyx_L1_error;
16420 __pyx_L8_try_return:;
16421 __Pyx_XGIVEREF(__pyx_t_6);
16422 __Pyx_XGIVEREF(__pyx_t_7);
16423 __Pyx_XGIVEREF(__pyx_t_8);
16424 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
16426 __pyx_L7_except_return:;
16427 __Pyx_XGIVEREF(__pyx_t_6);
16428 __Pyx_XGIVEREF(__pyx_t_7);
16429 __Pyx_XGIVEREF(__pyx_t_8);
16430 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
16445 __Pyx_XDECREF(__pyx_t_3);
16446 __Pyx_XDECREF(__pyx_t_5);
16447 __Pyx_XDECREF(__pyx_t_9);
16448 __Pyx_XDECREF(__pyx_t_10);
16449 __Pyx_XDECREF(__pyx_t_11);
16450 __Pyx_AddTraceback(
"PyClical.tan", __pyx_clineno, __pyx_lineno, __pyx_filename);
16453 __Pyx_XGIVEREF(__pyx_r);
16454 __Pyx_RefNannyFinishContext();
16459 static PyObject *__pyx_pw_8PyClical_67tan(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
16460 static char __pyx_doc_8PyClical_66tan[] =
"\n Tangent of multivector with optional complexifier.\n\n >>> x=clifford(\"{1,2}\"); print tan(x,\"{1,2,3}\")\n 0.7616{1,2}\n >>> x=clifford(\"{1,2}\"); print tan(x)\n 0.7616{1,2}\n ";
16461 static PyObject *__pyx_pw_8PyClical_67tan(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
16462 PyObject *__pyx_v_obj = 0;
16463 PyObject *__pyx_v_i = 0;
16464 PyObject *__pyx_r = 0;
16465 __Pyx_RefNannyDeclarations
16466 __Pyx_RefNannySetupContext(
"tan (wrapper)", 0);
16468 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_i,0};
16469 PyObject* values[2] = {0,0};
16470 values[1] = ((PyObject *)Py_None);
16471 if (unlikely(__pyx_kwds)) {
16472 Py_ssize_t kw_args;
16473 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
16474 switch (pos_args) {
16475 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
16476 CYTHON_FALLTHROUGH;
16477 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
16478 CYTHON_FALLTHROUGH;
16480 default:
goto __pyx_L5_argtuple_error;
16482 kw_args = PyDict_Size(__pyx_kwds);
16483 switch (pos_args) {
16485 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
16486 else goto __pyx_L5_argtuple_error;
16487 CYTHON_FALLTHROUGH;
16490 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_i);
16491 if (value) { values[1] = value; kw_args--; }
16494 if (unlikely(kw_args > 0)) {
16495 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"tan") < 0)) __PYX_ERR(0, 1752, __pyx_L3_error)
16498 switch (PyTuple_GET_SIZE(__pyx_args)) {
16499 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
16500 CYTHON_FALLTHROUGH;
16501 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
16503 default:
goto __pyx_L5_argtuple_error;
16506 __pyx_v_obj = values[0];
16507 __pyx_v_i = values[1];
16509 goto __pyx_L4_argument_unpacking_done;
16510 __pyx_L5_argtuple_error:;
16511 __Pyx_RaiseArgtupleInvalid(
"tan", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1752, __pyx_L3_error)
16513 __Pyx_AddTraceback(
"PyClical.tan", __pyx_clineno, __pyx_lineno, __pyx_filename);
16514 __Pyx_RefNannyFinishContext();
16516 __pyx_L4_argument_unpacking_done:;
16517 __pyx_r = __pyx_pf_8PyClical_66tan(__pyx_self, __pyx_v_obj, __pyx_v_i);
16520 __Pyx_RefNannyFinishContext();
16524 static PyObject *__pyx_pf_8PyClical_66tan(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i) {
16525 PyObject *__pyx_r = NULL;
16526 __Pyx_RefNannyDeclarations
16527 PyObject *__pyx_t_1 = NULL;
16528 struct __pyx_opt_args_8PyClical_tan __pyx_t_2;
16529 __Pyx_RefNannySetupContext(
"tan", 0);
16530 __Pyx_XDECREF(__pyx_r);
16531 __pyx_t_2.__pyx_n = 1;
16532 __pyx_t_2.i = __pyx_v_i;
16533 __pyx_t_1 = __pyx_f_8PyClical_tan(__pyx_v_obj, 0, &__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1752, __pyx_L1_error)
16534 __Pyx_GOTREF(__pyx_t_1);
16535 __pyx_r = __pyx_t_1;
16541 __Pyx_XDECREF(__pyx_t_1);
16542 __Pyx_AddTraceback(
"PyClical.tan", __pyx_clineno, __pyx_lineno, __pyx_filename);
16545 __Pyx_XGIVEREF(__pyx_r);
16546 __Pyx_RefNannyFinishContext();
16558 static PyObject *__pyx_pw_8PyClical_69atan(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
16559 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_atan(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_atan *__pyx_optional_args) {
16560 PyObject *__pyx_v_i = ((PyObject *)Py_None);
16561 PyObject *__pyx_r = NULL;
16562 __Pyx_RefNannyDeclarations
16565 PyObject *__pyx_t_3 = NULL;
16567 PyObject *__pyx_t_5 = NULL;
16568 PyObject *__pyx_t_6 = NULL;
16569 PyObject *__pyx_t_7 = NULL;
16570 PyObject *__pyx_t_8 = NULL;
16571 PyObject *__pyx_t_9 = NULL;
16572 PyObject *__pyx_t_10 = NULL;
16573 PyObject *__pyx_t_11 = NULL;
16574 __Pyx_RefNannySetupContext(
"atan", 0);
16575 if (__pyx_optional_args) {
16576 if (__pyx_optional_args->__pyx_n > 0) {
16577 __pyx_v_i = __pyx_optional_args->i;
16588 __pyx_t_1 = (__pyx_v_i != Py_None);
16589 __pyx_t_2 = (__pyx_t_1 != 0);
16599 __Pyx_XDECREF(__pyx_r);
16600 __pyx_t_3 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1779, __pyx_L1_error)
16601 __Pyx_GOTREF(__pyx_t_3);
16603 __pyx_t_4 =
atan(__pyx_f_8PyClical_toClifford(__pyx_v_obj), __pyx_f_8PyClical_toClifford(__pyx_v_i));
16605 __Pyx_CppExn2PyErr();
16606 __PYX_ERR(0, 1779, __pyx_L1_error)
16608 __pyx_t_5 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_3), __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1779, __pyx_L1_error)
16609 __Pyx_GOTREF(__pyx_t_5);
16610 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
16611 __pyx_r = __pyx_t_5;
16633 __Pyx_PyThreadState_declare
16634 __Pyx_PyThreadState_assign
16635 __Pyx_ExceptionSave(&__pyx_t_6, &__pyx_t_7, &__pyx_t_8);
16636 __Pyx_XGOTREF(__pyx_t_6);
16637 __Pyx_XGOTREF(__pyx_t_7);
16638 __Pyx_XGOTREF(__pyx_t_8);
16648 __Pyx_XDECREF(__pyx_r);
16649 __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1782, __pyx_L4_error)
16650 __Pyx_GOTREF(__pyx_t_3);
16651 __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_atan);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1782, __pyx_L4_error)
16652 __Pyx_GOTREF(__pyx_t_9);
16653 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
16655 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_9))) {
16656 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_9);
16657 if (likely(__pyx_t_3)) {
16658 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_9);
16659 __Pyx_INCREF(__pyx_t_3);
16660 __Pyx_INCREF(
function);
16661 __Pyx_DECREF_SET(__pyx_t_9,
function);
16664 __pyx_t_5 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_9, __pyx_t_3, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_9, __pyx_v_obj);
16665 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
16666 if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1782, __pyx_L4_error)
16667 __Pyx_GOTREF(__pyx_t_5);
16668 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
16669 __pyx_r = __pyx_t_5;
16671 goto __pyx_L8_try_return;
16682 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
16683 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
16684 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
16694 __Pyx_AddTraceback(
"PyClical.atan", __pyx_clineno, __pyx_lineno, __pyx_filename);
16695 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_9, &__pyx_t_3) < 0) __PYX_ERR(0, 1783, __pyx_L6_except_error)
16696 __Pyx_GOTREF(__pyx_t_5);
16697 __Pyx_GOTREF(__pyx_t_9);
16698 __Pyx_GOTREF(__pyx_t_3);
16707 __Pyx_XDECREF(__pyx_r);
16708 __pyx_t_10 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1784, __pyx_L6_except_error)
16709 __Pyx_GOTREF(__pyx_t_10);
16710 __pyx_t_11 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_10),
atan(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1784, __pyx_L6_except_error)
16711 __Pyx_GOTREF(__pyx_t_11);
16712 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
16713 __pyx_r = __pyx_t_11;
16715 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
16716 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
16717 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
16718 goto __pyx_L7_except_return;
16720 __pyx_L6_except_error:;
16729 __Pyx_XGIVEREF(__pyx_t_6);
16730 __Pyx_XGIVEREF(__pyx_t_7);
16731 __Pyx_XGIVEREF(__pyx_t_8);
16732 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
16733 goto __pyx_L1_error;
16734 __pyx_L8_try_return:;
16735 __Pyx_XGIVEREF(__pyx_t_6);
16736 __Pyx_XGIVEREF(__pyx_t_7);
16737 __Pyx_XGIVEREF(__pyx_t_8);
16738 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
16740 __pyx_L7_except_return:;
16741 __Pyx_XGIVEREF(__pyx_t_6);
16742 __Pyx_XGIVEREF(__pyx_t_7);
16743 __Pyx_XGIVEREF(__pyx_t_8);
16744 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
16759 __Pyx_XDECREF(__pyx_t_3);
16760 __Pyx_XDECREF(__pyx_t_5);
16761 __Pyx_XDECREF(__pyx_t_9);
16762 __Pyx_XDECREF(__pyx_t_10);
16763 __Pyx_XDECREF(__pyx_t_11);
16764 __Pyx_AddTraceback(
"PyClical.atan", __pyx_clineno, __pyx_lineno, __pyx_filename);
16767 __Pyx_XGIVEREF(__pyx_r);
16768 __Pyx_RefNannyFinishContext();
16773 static PyObject *__pyx_pw_8PyClical_69atan(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
16774 static char __pyx_doc_8PyClical_68atan[] =
"\n Inverse tangent of multivector with optional complexifier.\n\n >>> s=index_set({1,2,3}); x=clifford(\"{1}\"); print tan(atan(x,s),s)\n {1}\n >>> x=clifford(\"{1}\"); print tan(atan(x))\n {1}\n ";
16775 static PyObject *__pyx_pw_8PyClical_69atan(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
16776 PyObject *__pyx_v_obj = 0;
16777 PyObject *__pyx_v_i = 0;
16778 PyObject *__pyx_r = 0;
16779 __Pyx_RefNannyDeclarations
16780 __Pyx_RefNannySetupContext(
"atan (wrapper)", 0);
16782 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_i,0};
16783 PyObject* values[2] = {0,0};
16784 values[1] = ((PyObject *)Py_None);
16785 if (unlikely(__pyx_kwds)) {
16786 Py_ssize_t kw_args;
16787 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
16788 switch (pos_args) {
16789 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
16790 CYTHON_FALLTHROUGH;
16791 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
16792 CYTHON_FALLTHROUGH;
16794 default:
goto __pyx_L5_argtuple_error;
16796 kw_args = PyDict_Size(__pyx_kwds);
16797 switch (pos_args) {
16799 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
16800 else goto __pyx_L5_argtuple_error;
16801 CYTHON_FALLTHROUGH;
16804 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_i);
16805 if (value) { values[1] = value; kw_args--; }
16808 if (unlikely(kw_args > 0)) {
16809 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"atan") < 0)) __PYX_ERR(0, 1769, __pyx_L3_error)
16812 switch (PyTuple_GET_SIZE(__pyx_args)) {
16813 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
16814 CYTHON_FALLTHROUGH;
16815 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
16817 default:
goto __pyx_L5_argtuple_error;
16820 __pyx_v_obj = values[0];
16821 __pyx_v_i = values[1];
16823 goto __pyx_L4_argument_unpacking_done;
16824 __pyx_L5_argtuple_error:;
16825 __Pyx_RaiseArgtupleInvalid(
"atan", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1769, __pyx_L3_error)
16827 __Pyx_AddTraceback(
"PyClical.atan", __pyx_clineno, __pyx_lineno, __pyx_filename);
16828 __Pyx_RefNannyFinishContext();
16830 __pyx_L4_argument_unpacking_done:;
16831 __pyx_r = __pyx_pf_8PyClical_68atan(__pyx_self, __pyx_v_obj, __pyx_v_i);
16834 __Pyx_RefNannyFinishContext();
16838 static PyObject *__pyx_pf_8PyClical_68atan(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i) {
16839 PyObject *__pyx_r = NULL;
16840 __Pyx_RefNannyDeclarations
16841 PyObject *__pyx_t_1 = NULL;
16842 struct __pyx_opt_args_8PyClical_atan __pyx_t_2;
16843 __Pyx_RefNannySetupContext(
"atan", 0);
16844 __Pyx_XDECREF(__pyx_r);
16845 __pyx_t_2.__pyx_n = 1;
16846 __pyx_t_2.i = __pyx_v_i;
16847 __pyx_t_1 = __pyx_f_8PyClical_atan(__pyx_v_obj, 0, &__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1769, __pyx_L1_error)
16848 __Pyx_GOTREF(__pyx_t_1);
16849 __pyx_r = __pyx_t_1;
16855 __Pyx_XDECREF(__pyx_t_1);
16856 __Pyx_AddTraceback(
"PyClical.atan", __pyx_clineno, __pyx_lineno, __pyx_filename);
16859 __Pyx_XGIVEREF(__pyx_r);
16860 __Pyx_RefNannyFinishContext();
16872 static PyObject *__pyx_pw_8PyClical_71tanh(PyObject *__pyx_self, PyObject *__pyx_v_obj);
16873 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_tanh(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
16874 PyObject *__pyx_r = NULL;
16875 __Pyx_RefNannyDeclarations
16876 PyObject *__pyx_t_1 = NULL;
16877 PyObject *__pyx_t_2 = NULL;
16878 PyObject *__pyx_t_3 = NULL;
16879 PyObject *__pyx_t_4 = NULL;
16880 PyObject *__pyx_t_5 = NULL;
16881 PyObject *__pyx_t_6 = NULL;
16882 PyObject *__pyx_t_7 = NULL;
16883 PyObject *__pyx_t_8 = NULL;
16884 __Pyx_RefNannySetupContext(
"tanh", 0);
16894 __Pyx_PyThreadState_declare
16895 __Pyx_PyThreadState_assign
16896 __Pyx_ExceptionSave(&__pyx_t_1, &__pyx_t_2, &__pyx_t_3);
16897 __Pyx_XGOTREF(__pyx_t_1);
16898 __Pyx_XGOTREF(__pyx_t_2);
16899 __Pyx_XGOTREF(__pyx_t_3);
16909 __Pyx_XDECREF(__pyx_r);
16910 __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_math);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1794, __pyx_L3_error)
16911 __Pyx_GOTREF(__pyx_t_5);
16912 __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_tanh);
if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1794, __pyx_L3_error)
16913 __Pyx_GOTREF(__pyx_t_6);
16914 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
16916 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_6))) {
16917 __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_6);
16918 if (likely(__pyx_t_5)) {
16919 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_6);
16920 __Pyx_INCREF(__pyx_t_5);
16921 __Pyx_INCREF(
function);
16922 __Pyx_DECREF_SET(__pyx_t_6,
function);
16925 __pyx_t_4 = (__pyx_t_5) ? __Pyx_PyObject_Call2Args(__pyx_t_6, __pyx_t_5, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_6, __pyx_v_obj);
16926 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
16927 if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1794, __pyx_L3_error)
16928 __Pyx_GOTREF(__pyx_t_4);
16929 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
16930 __pyx_r = __pyx_t_4;
16932 goto __pyx_L7_try_return;
16943 __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
16944 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
16945 __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
16955 __Pyx_AddTraceback(
"PyClical.tanh", __pyx_clineno, __pyx_lineno, __pyx_filename);
16956 if (__Pyx_GetException(&__pyx_t_4, &__pyx_t_6, &__pyx_t_5) < 0) __PYX_ERR(0, 1795, __pyx_L5_except_error)
16957 __Pyx_GOTREF(__pyx_t_4);
16958 __Pyx_GOTREF(__pyx_t_6);
16959 __Pyx_GOTREF(__pyx_t_5);
16968 __Pyx_XDECREF(__pyx_r);
16969 __pyx_t_7 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1796, __pyx_L5_except_error)
16970 __Pyx_GOTREF(__pyx_t_7);
16971 __pyx_t_8 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_7),
tanh(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1796, __pyx_L5_except_error)
16972 __Pyx_GOTREF(__pyx_t_8);
16973 __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
16974 __pyx_r = __pyx_t_8;
16976 __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
16977 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
16978 __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
16979 goto __pyx_L6_except_return;
16981 __pyx_L5_except_error:;
16990 __Pyx_XGIVEREF(__pyx_t_1);
16991 __Pyx_XGIVEREF(__pyx_t_2);
16992 __Pyx_XGIVEREF(__pyx_t_3);
16993 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
16994 goto __pyx_L1_error;
16995 __pyx_L7_try_return:;
16996 __Pyx_XGIVEREF(__pyx_t_1);
16997 __Pyx_XGIVEREF(__pyx_t_2);
16998 __Pyx_XGIVEREF(__pyx_t_3);
16999 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
17001 __pyx_L6_except_return:;
17002 __Pyx_XGIVEREF(__pyx_t_1);
17003 __Pyx_XGIVEREF(__pyx_t_2);
17004 __Pyx_XGIVEREF(__pyx_t_3);
17005 __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
17019 __Pyx_XDECREF(__pyx_t_4);
17020 __Pyx_XDECREF(__pyx_t_5);
17021 __Pyx_XDECREF(__pyx_t_6);
17022 __Pyx_XDECREF(__pyx_t_7);
17023 __Pyx_XDECREF(__pyx_t_8);
17024 __Pyx_AddTraceback(
"PyClical.tanh", __pyx_clineno, __pyx_lineno, __pyx_filename);
17027 __Pyx_XGIVEREF(__pyx_r);
17028 __Pyx_RefNannyFinishContext();
17033 static PyObject *__pyx_pw_8PyClical_71tanh(PyObject *__pyx_self, PyObject *__pyx_v_obj);
17034 static char __pyx_doc_8PyClical_70tanh[] =
"\n Hyperbolic tangent of multivector.\n\n >>> x=clifford(\"{1,2}\") * pi/4; print tanh(x)\n {1,2}\n ";
17035 static PyObject *__pyx_pw_8PyClical_71tanh(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
17036 PyObject *__pyx_r = 0;
17037 __Pyx_RefNannyDeclarations
17038 __Pyx_RefNannySetupContext(
"tanh (wrapper)", 0);
17039 __pyx_r = __pyx_pf_8PyClical_70tanh(__pyx_self, ((PyObject *)__pyx_v_obj));
17042 __Pyx_RefNannyFinishContext();
17046 static PyObject *__pyx_pf_8PyClical_70tanh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
17047 PyObject *__pyx_r = NULL;
17048 __Pyx_RefNannyDeclarations
17049 PyObject *__pyx_t_1 = NULL;
17050 __Pyx_RefNannySetupContext(
"tanh", 0);
17051 __Pyx_XDECREF(__pyx_r);
17052 __pyx_t_1 = __pyx_f_8PyClical_tanh(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1786, __pyx_L1_error)
17053 __Pyx_GOTREF(__pyx_t_1);
17054 __pyx_r = __pyx_t_1;
17060 __Pyx_XDECREF(__pyx_t_1);
17061 __Pyx_AddTraceback(
"PyClical.tanh", __pyx_clineno, __pyx_lineno, __pyx_filename);
17064 __Pyx_XGIVEREF(__pyx_r);
17065 __Pyx_RefNannyFinishContext();
17077 static PyObject *__pyx_pw_8PyClical_73atanh(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
17078 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_atanh(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_atanh *__pyx_optional_args) {
17079 PyObject *__pyx_v_i = ((PyObject *)Py_None);
17080 PyObject *__pyx_r = NULL;
17081 __Pyx_RefNannyDeclarations
17084 PyObject *__pyx_t_3 = NULL;
17086 PyObject *__pyx_t_5 = NULL;
17087 PyObject *__pyx_t_6 = NULL;
17088 PyObject *__pyx_t_7 = NULL;
17089 PyObject *__pyx_t_8 = NULL;
17090 PyObject *__pyx_t_9 = NULL;
17091 PyObject *__pyx_t_10 = NULL;
17092 PyObject *__pyx_t_11 = NULL;
17093 __Pyx_RefNannySetupContext(
"atanh", 0);
17094 if (__pyx_optional_args) {
17095 if (__pyx_optional_args->__pyx_n > 0) {
17096 __pyx_v_i = __pyx_optional_args->i;
17107 __pyx_t_1 = (__pyx_v_i != Py_None);
17108 __pyx_t_2 = (__pyx_t_1 != 0);
17118 __Pyx_XDECREF(__pyx_r);
17119 __pyx_t_3 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1808, __pyx_L1_error)
17120 __Pyx_GOTREF(__pyx_t_3);
17122 __pyx_t_4 =
atanh(__pyx_f_8PyClical_toClifford(__pyx_v_obj), __pyx_f_8PyClical_toClifford(__pyx_v_i));
17124 __Pyx_CppExn2PyErr();
17125 __PYX_ERR(0, 1808, __pyx_L1_error)
17127 __pyx_t_5 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_3), __pyx_t_4);
if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1808, __pyx_L1_error)
17128 __Pyx_GOTREF(__pyx_t_5);
17129 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
17130 __pyx_r = __pyx_t_5;
17152 __Pyx_PyThreadState_declare
17153 __Pyx_PyThreadState_assign
17154 __Pyx_ExceptionSave(&__pyx_t_6, &__pyx_t_7, &__pyx_t_8);
17155 __Pyx_XGOTREF(__pyx_t_6);
17156 __Pyx_XGOTREF(__pyx_t_7);
17157 __Pyx_XGOTREF(__pyx_t_8);
17167 __Pyx_XDECREF(__pyx_r);
17168 __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1811, __pyx_L4_error)
17169 __Pyx_GOTREF(__pyx_t_3);
17170 __pyx_t_9 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_atanh);
if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1811, __pyx_L4_error)
17171 __Pyx_GOTREF(__pyx_t_9);
17172 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
17174 if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_9))) {
17175 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_9);
17176 if (likely(__pyx_t_3)) {
17177 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_9);
17178 __Pyx_INCREF(__pyx_t_3);
17179 __Pyx_INCREF(
function);
17180 __Pyx_DECREF_SET(__pyx_t_9,
function);
17183 __pyx_t_5 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_9, __pyx_t_3, __pyx_v_obj) : __Pyx_PyObject_CallOneArg(__pyx_t_9, __pyx_v_obj);
17184 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
17185 if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1811, __pyx_L4_error)
17186 __Pyx_GOTREF(__pyx_t_5);
17187 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
17188 __pyx_r = __pyx_t_5;
17190 goto __pyx_L8_try_return;
17201 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
17202 __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
17203 __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
17213 __Pyx_AddTraceback(
"PyClical.atanh", __pyx_clineno, __pyx_lineno, __pyx_filename);
17214 if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_9, &__pyx_t_3) < 0) __PYX_ERR(0, 1812, __pyx_L6_except_error)
17215 __Pyx_GOTREF(__pyx_t_5);
17216 __Pyx_GOTREF(__pyx_t_9);
17217 __Pyx_GOTREF(__pyx_t_3);
17226 __Pyx_XDECREF(__pyx_r);
17227 __pyx_t_10 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1813, __pyx_L6_except_error)
17228 __Pyx_GOTREF(__pyx_t_10);
17229 __pyx_t_11 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_10),
atanh(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1813, __pyx_L6_except_error)
17230 __Pyx_GOTREF(__pyx_t_11);
17231 __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
17232 __pyx_r = __pyx_t_11;
17234 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
17235 __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
17236 __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
17237 goto __pyx_L7_except_return;
17239 __pyx_L6_except_error:;
17248 __Pyx_XGIVEREF(__pyx_t_6);
17249 __Pyx_XGIVEREF(__pyx_t_7);
17250 __Pyx_XGIVEREF(__pyx_t_8);
17251 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
17252 goto __pyx_L1_error;
17253 __pyx_L8_try_return:;
17254 __Pyx_XGIVEREF(__pyx_t_6);
17255 __Pyx_XGIVEREF(__pyx_t_7);
17256 __Pyx_XGIVEREF(__pyx_t_8);
17257 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
17259 __pyx_L7_except_return:;
17260 __Pyx_XGIVEREF(__pyx_t_6);
17261 __Pyx_XGIVEREF(__pyx_t_7);
17262 __Pyx_XGIVEREF(__pyx_t_8);
17263 __Pyx_ExceptionReset(__pyx_t_6, __pyx_t_7, __pyx_t_8);
17278 __Pyx_XDECREF(__pyx_t_3);
17279 __Pyx_XDECREF(__pyx_t_5);
17280 __Pyx_XDECREF(__pyx_t_9);
17281 __Pyx_XDECREF(__pyx_t_10);
17282 __Pyx_XDECREF(__pyx_t_11);
17283 __Pyx_AddTraceback(
"PyClical.atanh", __pyx_clineno, __pyx_lineno, __pyx_filename);
17286 __Pyx_XGIVEREF(__pyx_r);
17287 __Pyx_RefNannyFinishContext();
17292 static PyObject *__pyx_pw_8PyClical_73atanh(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
17293 static char __pyx_doc_8PyClical_72atanh[] =
"\n Inverse hyperbolic tangent of multivector with optional complexifier.\n\n >>> s=index_set({1,2,3}); x=clifford(\"{1,2}\"); print tanh(atanh(x,s))\n {1,2}\n >>> x=clifford(\"{1,2}\"); print tanh(atanh(x))\n {1,2}\n ";
17294 static PyObject *__pyx_pw_8PyClical_73atanh(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
17295 PyObject *__pyx_v_obj = 0;
17296 PyObject *__pyx_v_i = 0;
17297 PyObject *__pyx_r = 0;
17298 __Pyx_RefNannyDeclarations
17299 __Pyx_RefNannySetupContext(
"atanh (wrapper)", 0);
17301 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,&__pyx_n_s_i,0};
17302 PyObject* values[2] = {0,0};
17303 values[1] = ((PyObject *)Py_None);
17304 if (unlikely(__pyx_kwds)) {
17305 Py_ssize_t kw_args;
17306 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
17307 switch (pos_args) {
17308 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
17309 CYTHON_FALLTHROUGH;
17310 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
17311 CYTHON_FALLTHROUGH;
17313 default:
goto __pyx_L5_argtuple_error;
17315 kw_args = PyDict_Size(__pyx_kwds);
17316 switch (pos_args) {
17318 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_obj)) != 0)) kw_args--;
17319 else goto __pyx_L5_argtuple_error;
17320 CYTHON_FALLTHROUGH;
17323 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_i);
17324 if (value) { values[1] = value; kw_args--; }
17327 if (unlikely(kw_args > 0)) {
17328 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"atanh") < 0)) __PYX_ERR(0, 1798, __pyx_L3_error)
17331 switch (PyTuple_GET_SIZE(__pyx_args)) {
17332 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
17333 CYTHON_FALLTHROUGH;
17334 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
17336 default:
goto __pyx_L5_argtuple_error;
17339 __pyx_v_obj = values[0];
17340 __pyx_v_i = values[1];
17342 goto __pyx_L4_argument_unpacking_done;
17343 __pyx_L5_argtuple_error:;
17344 __Pyx_RaiseArgtupleInvalid(
"atanh", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1798, __pyx_L3_error)
17346 __Pyx_AddTraceback(
"PyClical.atanh", __pyx_clineno, __pyx_lineno, __pyx_filename);
17347 __Pyx_RefNannyFinishContext();
17349 __pyx_L4_argument_unpacking_done:;
17350 __pyx_r = __pyx_pf_8PyClical_72atanh(__pyx_self, __pyx_v_obj, __pyx_v_i);
17353 __Pyx_RefNannyFinishContext();
17357 static PyObject *__pyx_pf_8PyClical_72atanh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i) {
17358 PyObject *__pyx_r = NULL;
17359 __Pyx_RefNannyDeclarations
17360 PyObject *__pyx_t_1 = NULL;
17361 struct __pyx_opt_args_8PyClical_atanh __pyx_t_2;
17362 __Pyx_RefNannySetupContext(
"atanh", 0);
17363 __Pyx_XDECREF(__pyx_r);
17364 __pyx_t_2.__pyx_n = 1;
17365 __pyx_t_2.i = __pyx_v_i;
17366 __pyx_t_1 = __pyx_f_8PyClical_atanh(__pyx_v_obj, 0, &__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1798, __pyx_L1_error)
17367 __Pyx_GOTREF(__pyx_t_1);
17368 __pyx_r = __pyx_t_1;
17374 __Pyx_XDECREF(__pyx_t_1);
17375 __Pyx_AddTraceback(
"PyClical.atanh", __pyx_clineno, __pyx_lineno, __pyx_filename);
17378 __Pyx_XGIVEREF(__pyx_r);
17379 __Pyx_RefNannyFinishContext();
17391 static PyObject *__pyx_pw_8PyClical_75random_clifford(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
17392 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_random_clifford(
struct __pyx_obj_8PyClical_index_set *__pyx_v_ixt, CYTHON_UNUSED
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_random_clifford *__pyx_optional_args) {
17393 PyObject *__pyx_v_fill = ((PyObject *)__pyx_float_1_0);
17394 PyObject *__pyx_r = NULL;
17395 __Pyx_RefNannyDeclarations
17396 PyObject *__pyx_t_1 = NULL;
17397 PyObject *__pyx_t_2 = NULL;
17399 PyObject *__pyx_t_4 = NULL;
17400 __Pyx_RefNannySetupContext(
"random_clifford", 0);
17401 if (__pyx_optional_args) {
17402 if (__pyx_optional_args->__pyx_n > 0) {
17403 __pyx_v_fill = __pyx_optional_args->fill;
17414 __Pyx_XDECREF(__pyx_r);
17415 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1822, __pyx_L1_error)
17416 __Pyx_GOTREF(__pyx_t_1);
17417 __pyx_t_2 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1822, __pyx_L1_error)
17418 __Pyx_GOTREF(__pyx_t_2);
17419 __pyx_t_3 = __pyx_PyFloat_AsDouble(__pyx_v_fill);
if (unlikely((__pyx_t_3 == ((
scalar_t)-1)) && PyErr_Occurred())) __PYX_ERR(0, 1822, __pyx_L1_error)
17420 __pyx_t_4 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1), ((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_2)->instance->random(__pyx_f_8PyClical_9index_set_unwrap(__pyx_v_ixt), ((
scalar_t)__pyx_t_3)));
if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1822, __pyx_L1_error)
17421 __Pyx_GOTREF(__pyx_t_4);
17422 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
17423 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
17424 __pyx_r = __pyx_t_4;
17438 __Pyx_XDECREF(__pyx_t_1);
17439 __Pyx_XDECREF(__pyx_t_2);
17440 __Pyx_XDECREF(__pyx_t_4);
17441 __Pyx_AddTraceback(
"PyClical.random_clifford", __pyx_clineno, __pyx_lineno, __pyx_filename);
17444 __Pyx_XGIVEREF(__pyx_r);
17445 __Pyx_RefNannyFinishContext();
17450 static PyObject *__pyx_pw_8PyClical_75random_clifford(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
17451 static char __pyx_doc_8PyClical_74random_clifford[] =
"\n Random multivector within a frame.\n\n >>> print random_clifford(index_set({-3,-1,2})).frame()\n {-3,-1,2}\n ";
17452 static PyObject *__pyx_pw_8PyClical_75random_clifford(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
17453 struct __pyx_obj_8PyClical_index_set *__pyx_v_ixt = 0;
17454 PyObject *__pyx_v_fill = 0;
17455 PyObject *__pyx_r = 0;
17456 __Pyx_RefNannyDeclarations
17457 __Pyx_RefNannySetupContext(
"random_clifford (wrapper)", 0);
17459 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_ixt,&__pyx_n_s_fill,0};
17460 PyObject* values[2] = {0,0};
17461 values[1] = ((PyObject *)__pyx_float_1_0);
17462 if (unlikely(__pyx_kwds)) {
17463 Py_ssize_t kw_args;
17464 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
17465 switch (pos_args) {
17466 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
17467 CYTHON_FALLTHROUGH;
17468 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
17469 CYTHON_FALLTHROUGH;
17471 default:
goto __pyx_L5_argtuple_error;
17473 kw_args = PyDict_Size(__pyx_kwds);
17474 switch (pos_args) {
17476 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_ixt)) != 0)) kw_args--;
17477 else goto __pyx_L5_argtuple_error;
17478 CYTHON_FALLTHROUGH;
17481 PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_fill);
17482 if (value) { values[1] = value; kw_args--; }
17485 if (unlikely(kw_args > 0)) {
17486 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"random_clifford") < 0)) __PYX_ERR(0, 1815, __pyx_L3_error)
17489 switch (PyTuple_GET_SIZE(__pyx_args)) {
17490 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
17491 CYTHON_FALLTHROUGH;
17492 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
17494 default:
goto __pyx_L5_argtuple_error;
17497 __pyx_v_ixt = ((
struct __pyx_obj_8PyClical_index_set *)values[0]);
17498 __pyx_v_fill = values[1];
17500 goto __pyx_L4_argument_unpacking_done;
17501 __pyx_L5_argtuple_error:;
17502 __Pyx_RaiseArgtupleInvalid(
"random_clifford", 0, 1, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1815, __pyx_L3_error)
17504 __Pyx_AddTraceback(
"PyClical.random_clifford", __pyx_clineno, __pyx_lineno, __pyx_filename);
17505 __Pyx_RefNannyFinishContext();
17507 __pyx_L4_argument_unpacking_done:;
17508 if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_ixt), __pyx_ptype_8PyClical_index_set, 1,
"ixt", 0))) __PYX_ERR(0, 1815, __pyx_L1_error)
17509 __pyx_r = __pyx_pf_8PyClical_74random_clifford(__pyx_self, __pyx_v_ixt, __pyx_v_fill);
17516 __Pyx_RefNannyFinishContext();
17520 static PyObject *__pyx_pf_8PyClical_74random_clifford(CYTHON_UNUSED PyObject *__pyx_self,
struct __pyx_obj_8PyClical_index_set *__pyx_v_ixt, PyObject *__pyx_v_fill) {
17521 PyObject *__pyx_r = NULL;
17522 __Pyx_RefNannyDeclarations
17523 PyObject *__pyx_t_1 = NULL;
17524 struct __pyx_opt_args_8PyClical_random_clifford __pyx_t_2;
17525 __Pyx_RefNannySetupContext(
"random_clifford", 0);
17526 __Pyx_XDECREF(__pyx_r);
17527 __pyx_t_2.__pyx_n = 1;
17528 __pyx_t_2.fill = __pyx_v_fill;
17529 __pyx_t_1 = __pyx_f_8PyClical_random_clifford(__pyx_v_ixt, 0, &__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1815, __pyx_L1_error)
17530 __Pyx_GOTREF(__pyx_t_1);
17531 __pyx_r = __pyx_t_1;
17537 __Pyx_XDECREF(__pyx_t_1);
17538 __Pyx_AddTraceback(
"PyClical.random_clifford", __pyx_clineno, __pyx_lineno, __pyx_filename);
17541 __Pyx_XGIVEREF(__pyx_r);
17542 __Pyx_RefNannyFinishContext();
17554 static PyObject *__pyx_pw_8PyClical_77cga3(PyObject *__pyx_self, PyObject *__pyx_v_obj);
17555 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cga3(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
17556 PyObject *__pyx_r = NULL;
17557 __Pyx_RefNannyDeclarations
17558 PyObject *__pyx_t_1 = NULL;
17559 PyObject *__pyx_t_2 = NULL;
17560 __Pyx_RefNannySetupContext(
"cga3", 0);
17569 __Pyx_XDECREF(__pyx_r);
17570 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1831, __pyx_L1_error)
17571 __Pyx_GOTREF(__pyx_t_1);
17572 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1),
cga3::cga3(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1831, __pyx_L1_error)
17573 __Pyx_GOTREF(__pyx_t_2);
17574 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
17575 __pyx_r = __pyx_t_2;
17589 __Pyx_XDECREF(__pyx_t_1);
17590 __Pyx_XDECREF(__pyx_t_2);
17591 __Pyx_AddTraceback(
"PyClical.cga3", __pyx_clineno, __pyx_lineno, __pyx_filename);
17594 __Pyx_XGIVEREF(__pyx_r);
17595 __Pyx_RefNannyFinishContext();
17600 static PyObject *__pyx_pw_8PyClical_77cga3(PyObject *__pyx_self, PyObject *__pyx_v_obj);
17601 static char __pyx_doc_8PyClical_76cga3[] =
"\n Convert Euclidean 3D multivector to Conformal Geometric Algebra using Doran and Lasenby definition.\n\n >>> x=clifford(\"2{1}+9{2}+{3}\"); print cga3(x)\n 87{-1}+4{1}+18{2}+2{3}+85{4}\n ";
17602 static PyObject *__pyx_pw_8PyClical_77cga3(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
17603 PyObject *__pyx_r = 0;
17604 __Pyx_RefNannyDeclarations
17605 __Pyx_RefNannySetupContext(
"cga3 (wrapper)", 0);
17606 __pyx_r = __pyx_pf_8PyClical_76cga3(__pyx_self, ((PyObject *)__pyx_v_obj));
17609 __Pyx_RefNannyFinishContext();
17613 static PyObject *__pyx_pf_8PyClical_76cga3(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
17614 PyObject *__pyx_r = NULL;
17615 __Pyx_RefNannyDeclarations
17616 PyObject *__pyx_t_1 = NULL;
17617 __Pyx_RefNannySetupContext(
"cga3", 0);
17618 __Pyx_XDECREF(__pyx_r);
17619 __pyx_t_1 = __pyx_f_8PyClical_cga3(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1824, __pyx_L1_error)
17620 __Pyx_GOTREF(__pyx_t_1);
17621 __pyx_r = __pyx_t_1;
17627 __Pyx_XDECREF(__pyx_t_1);
17628 __Pyx_AddTraceback(
"PyClical.cga3", __pyx_clineno, __pyx_lineno, __pyx_filename);
17631 __Pyx_XGIVEREF(__pyx_r);
17632 __Pyx_RefNannyFinishContext();
17644 static PyObject *__pyx_pw_8PyClical_79cga3std(PyObject *__pyx_self, PyObject *__pyx_v_obj);
17645 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cga3std(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
17646 PyObject *__pyx_r = NULL;
17647 __Pyx_RefNannyDeclarations
17648 PyObject *__pyx_t_1 = NULL;
17649 PyObject *__pyx_t_2 = NULL;
17650 __Pyx_RefNannySetupContext(
"cga3std", 0);
17659 __Pyx_XDECREF(__pyx_r);
17660 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1842, __pyx_L1_error)
17661 __Pyx_GOTREF(__pyx_t_1);
17662 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1),
cga3::cga3std(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1842, __pyx_L1_error)
17663 __Pyx_GOTREF(__pyx_t_2);
17664 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
17665 __pyx_r = __pyx_t_2;
17679 __Pyx_XDECREF(__pyx_t_1);
17680 __Pyx_XDECREF(__pyx_t_2);
17681 __Pyx_AddTraceback(
"PyClical.cga3std", __pyx_clineno, __pyx_lineno, __pyx_filename);
17684 __Pyx_XGIVEREF(__pyx_r);
17685 __Pyx_RefNannyFinishContext();
17690 static PyObject *__pyx_pw_8PyClical_79cga3std(PyObject *__pyx_self, PyObject *__pyx_v_obj);
17691 static char __pyx_doc_8PyClical_78cga3std[] =
"\n Convert CGA3 null vector to standard conformal null vector using Doran and Lasenby definition.\n\n >>> x=clifford(\"2{1}+9{2}+{3}\"); print cga3std(cga3(x))\n 87{-1}+4{1}+18{2}+2{3}+85{4}\n >>> x=clifford(\"2{1}+9{2}+{3}\"); print cga3std(cga3(x))-cga3(x)\n 0\n ";
17692 static PyObject *__pyx_pw_8PyClical_79cga3std(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
17693 PyObject *__pyx_r = 0;
17694 __Pyx_RefNannyDeclarations
17695 __Pyx_RefNannySetupContext(
"cga3std (wrapper)", 0);
17696 __pyx_r = __pyx_pf_8PyClical_78cga3std(__pyx_self, ((PyObject *)__pyx_v_obj));
17699 __Pyx_RefNannyFinishContext();
17703 static PyObject *__pyx_pf_8PyClical_78cga3std(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
17704 PyObject *__pyx_r = NULL;
17705 __Pyx_RefNannyDeclarations
17706 PyObject *__pyx_t_1 = NULL;
17707 __Pyx_RefNannySetupContext(
"cga3std", 0);
17708 __Pyx_XDECREF(__pyx_r);
17709 __pyx_t_1 = __pyx_f_8PyClical_cga3std(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1833, __pyx_L1_error)
17710 __Pyx_GOTREF(__pyx_t_1);
17711 __pyx_r = __pyx_t_1;
17717 __Pyx_XDECREF(__pyx_t_1);
17718 __Pyx_AddTraceback(
"PyClical.cga3std", __pyx_clineno, __pyx_lineno, __pyx_filename);
17721 __Pyx_XGIVEREF(__pyx_r);
17722 __Pyx_RefNannyFinishContext();
17734 static PyObject *__pyx_pw_8PyClical_81agc3(PyObject *__pyx_self, PyObject *__pyx_v_obj);
17735 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_agc3(PyObject *__pyx_v_obj, CYTHON_UNUSED
int __pyx_skip_dispatch) {
17736 PyObject *__pyx_r = NULL;
17737 __Pyx_RefNannyDeclarations
17738 PyObject *__pyx_t_1 = NULL;
17739 PyObject *__pyx_t_2 = NULL;
17740 __Pyx_RefNannySetupContext(
"agc3", 0);
17749 __Pyx_XDECREF(__pyx_r);
17750 __pyx_t_1 = __Pyx_PyObject_CallNoArg(((PyObject *)__pyx_ptype_8PyClical_clifford));
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1853, __pyx_L1_error)
17751 __Pyx_GOTREF(__pyx_t_1);
17752 __pyx_t_2 = __pyx_f_8PyClical_8clifford_wrap(((
struct __pyx_obj_8PyClical_clifford *)__pyx_t_1),
cga3::agc3(__pyx_f_8PyClical_toClifford(__pyx_v_obj)));
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1853, __pyx_L1_error)
17753 __Pyx_GOTREF(__pyx_t_2);
17754 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
17755 __pyx_r = __pyx_t_2;
17769 __Pyx_XDECREF(__pyx_t_1);
17770 __Pyx_XDECREF(__pyx_t_2);
17771 __Pyx_AddTraceback(
"PyClical.agc3", __pyx_clineno, __pyx_lineno, __pyx_filename);
17774 __Pyx_XGIVEREF(__pyx_r);
17775 __Pyx_RefNannyFinishContext();
17780 static PyObject *__pyx_pw_8PyClical_81agc3(PyObject *__pyx_self, PyObject *__pyx_v_obj);
17781 static char __pyx_doc_8PyClical_80agc3[] =
"\n Convert CGA3 null vector to Euclidean 3D vector using Doran and Lasenby definition.\n\n >>> x=clifford(\"2{1}+9{2}+{3}\"); print agc3(cga3(x))\n 2{1}+9{2}+{3}\n >>> x=clifford(\"2{1}+9{2}+{3}\"); print agc3(cga3(x))-x\n 0\n ";
17782 static PyObject *__pyx_pw_8PyClical_81agc3(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
17783 PyObject *__pyx_r = 0;
17784 __Pyx_RefNannyDeclarations
17785 __Pyx_RefNannySetupContext(
"agc3 (wrapper)", 0);
17786 __pyx_r = __pyx_pf_8PyClical_80agc3(__pyx_self, ((PyObject *)__pyx_v_obj));
17789 __Pyx_RefNannyFinishContext();
17793 static PyObject *__pyx_pf_8PyClical_80agc3(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
17794 PyObject *__pyx_r = NULL;
17795 __Pyx_RefNannyDeclarations
17796 PyObject *__pyx_t_1 = NULL;
17797 __Pyx_RefNannySetupContext(
"agc3", 0);
17798 __Pyx_XDECREF(__pyx_r);
17799 __pyx_t_1 = __pyx_f_8PyClical_agc3(__pyx_v_obj, 0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1844, __pyx_L1_error)
17800 __Pyx_GOTREF(__pyx_t_1);
17801 __pyx_r = __pyx_t_1;
17807 __Pyx_XDECREF(__pyx_t_1);
17808 __Pyx_AddTraceback(
"PyClical.agc3", __pyx_clineno, __pyx_lineno, __pyx_filename);
17811 __Pyx_XGIVEREF(__pyx_r);
17812 __Pyx_RefNannyFinishContext();
17825 static PyObject *__pyx_pw_8PyClical_83e(PyObject *__pyx_self, PyObject *__pyx_v_obj);
17826 static char __pyx_doc_8PyClical_82e[] =
"\n Abbreviation for clifford(index_set(obj)).\n\n >>> print e(1)\n {1}\n >>> print e(-1)\n {-1}\n >>> print e(0)\n 1\n ";
17827 static PyMethodDef __pyx_mdef_8PyClical_83e = {
"e", (PyCFunction)__pyx_pw_8PyClical_83e, METH_O, __pyx_doc_8PyClical_82e};
17828 static PyObject *__pyx_pw_8PyClical_83e(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
17829 PyObject *__pyx_r = 0;
17830 __Pyx_RefNannyDeclarations
17831 __Pyx_RefNannySetupContext(
"e (wrapper)", 0);
17832 __pyx_r = __pyx_pf_8PyClical_82e(__pyx_self, ((PyObject *)__pyx_v_obj));
17835 __Pyx_RefNannyFinishContext();
17839 static PyObject *__pyx_pf_8PyClical_82e(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
17840 PyObject *__pyx_r = NULL;
17841 __Pyx_RefNannyDeclarations
17842 PyObject *__pyx_t_1 = NULL;
17843 PyObject *__pyx_t_2 = NULL;
17844 __Pyx_RefNannySetupContext(
"e", 0);
17853 __Pyx_XDECREF(__pyx_r);
17854 __pyx_t_1 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_index_set), __pyx_v_obj);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1898, __pyx_L1_error)
17855 __Pyx_GOTREF(__pyx_t_1);
17856 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_t_1);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1898, __pyx_L1_error)
17857 __Pyx_GOTREF(__pyx_t_2);
17858 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
17859 __pyx_r = __pyx_t_2;
17873 __Pyx_XDECREF(__pyx_t_1);
17874 __Pyx_XDECREF(__pyx_t_2);
17875 __Pyx_AddTraceback(
"PyClical.e", __pyx_clineno, __pyx_lineno, __pyx_filename);
17878 __Pyx_XGIVEREF(__pyx_r);
17879 __Pyx_RefNannyFinishContext();
17892 static PyObject *__pyx_pw_8PyClical_85istpq(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds);
17893 static char __pyx_doc_8PyClical_84istpq[] =
"\n Abbreviation for index_set({-q,...p}).\n\n >>> print istpq(2,3)\n {-3,-2,-1,1,2}\n ";
17894 static PyMethodDef __pyx_mdef_8PyClical_85istpq = {
"istpq", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_85istpq, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_84istpq};
17895 static PyObject *__pyx_pw_8PyClical_85istpq(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
17896 PyObject *__pyx_v_p = 0;
17897 PyObject *__pyx_v_q = 0;
17898 PyObject *__pyx_r = 0;
17899 __Pyx_RefNannyDeclarations
17900 __Pyx_RefNannySetupContext(
"istpq (wrapper)", 0);
17902 static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_p,&__pyx_n_s_q,0};
17903 PyObject* values[2] = {0,0};
17904 if (unlikely(__pyx_kwds)) {
17905 Py_ssize_t kw_args;
17906 const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
17907 switch (pos_args) {
17908 case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
17909 CYTHON_FALLTHROUGH;
17910 case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
17911 CYTHON_FALLTHROUGH;
17913 default:
goto __pyx_L5_argtuple_error;
17915 kw_args = PyDict_Size(__pyx_kwds);
17916 switch (pos_args) {
17918 if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_p)) != 0)) kw_args--;
17919 else goto __pyx_L5_argtuple_error;
17920 CYTHON_FALLTHROUGH;
17922 if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_q)) != 0)) kw_args--;
17924 __Pyx_RaiseArgtupleInvalid(
"istpq", 1, 2, 2, 1); __PYX_ERR(0, 1900, __pyx_L3_error)
17927 if (unlikely(kw_args > 0)) {
17928 if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args,
"istpq") < 0)) __PYX_ERR(0, 1900, __pyx_L3_error)
17930 }
else if (PyTuple_GET_SIZE(__pyx_args) != 2) {
17931 goto __pyx_L5_argtuple_error;
17933 values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
17934 values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
17936 __pyx_v_p = values[0];
17937 __pyx_v_q = values[1];
17939 goto __pyx_L4_argument_unpacking_done;
17940 __pyx_L5_argtuple_error:;
17941 __Pyx_RaiseArgtupleInvalid(
"istpq", 1, 2, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1900, __pyx_L3_error)
17943 __Pyx_AddTraceback(
"PyClical.istpq", __pyx_clineno, __pyx_lineno, __pyx_filename);
17944 __Pyx_RefNannyFinishContext();
17946 __pyx_L4_argument_unpacking_done:;
17947 __pyx_r = __pyx_pf_8PyClical_84istpq(__pyx_self, __pyx_v_p, __pyx_v_q);
17950 __Pyx_RefNannyFinishContext();
17954 static PyObject *__pyx_pf_8PyClical_84istpq(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_p, PyObject *__pyx_v_q) {
17955 PyObject *__pyx_r = NULL;
17956 __Pyx_RefNannyDeclarations
17957 PyObject *__pyx_t_1 = NULL;
17958 PyObject *__pyx_t_2 = NULL;
17959 PyObject *__pyx_t_3 = NULL;
17960 __Pyx_RefNannySetupContext(
"istpq", 0);
17969 __Pyx_XDECREF(__pyx_r);
17970 __pyx_t_1 = PyNumber_Negative(__pyx_v_q);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1907, __pyx_L1_error)
17971 __Pyx_GOTREF(__pyx_t_1);
17972 __pyx_t_2 = __Pyx_PyInt_AddObjC(__pyx_v_p, __pyx_int_1, 1, 0, 0);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1907, __pyx_L1_error)
17973 __Pyx_GOTREF(__pyx_t_2);
17974 __pyx_t_3 = PyTuple_New(2);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1907, __pyx_L1_error)
17975 __Pyx_GOTREF(__pyx_t_3);
17976 __Pyx_GIVEREF(__pyx_t_1);
17977 PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1);
17978 __Pyx_GIVEREF(__pyx_t_2);
17979 PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_2);
17982 __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_range, __pyx_t_3, NULL);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1907, __pyx_L1_error)
17983 __Pyx_GOTREF(__pyx_t_2);
17984 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
17985 __pyx_t_3 = PySet_New(__pyx_t_2);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1907, __pyx_L1_error)
17986 __Pyx_GOTREF(__pyx_t_3);
17987 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
17988 __pyx_t_2 = __Pyx_PyObject_CallOneArg(((PyObject *)__pyx_ptype_8PyClical_index_set), __pyx_t_3);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1907, __pyx_L1_error)
17989 __Pyx_GOTREF(__pyx_t_2);
17990 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
17991 __pyx_r = __pyx_t_2;
18005 __Pyx_XDECREF(__pyx_t_1);
18006 __Pyx_XDECREF(__pyx_t_2);
18007 __Pyx_XDECREF(__pyx_t_3);
18008 __Pyx_AddTraceback(
"PyClical.istpq", __pyx_clineno, __pyx_lineno, __pyx_filename);
18011 __Pyx_XGIVEREF(__pyx_r);
18012 __Pyx_RefNannyFinishContext();
18025 static PyObject *__pyx_pw_8PyClical_87_test(PyObject *__pyx_self, CYTHON_UNUSED PyObject *unused);
18026 static PyMethodDef __pyx_mdef_8PyClical_87_test = {
"_test", (PyCFunction)__pyx_pw_8PyClical_87_test, METH_NOARGS, 0};
18027 static PyObject *__pyx_pw_8PyClical_87_test(PyObject *__pyx_self, CYTHON_UNUSED PyObject *unused) {
18028 PyObject *__pyx_r = 0;
18029 __Pyx_RefNannyDeclarations
18030 __Pyx_RefNannySetupContext(
"_test (wrapper)", 0);
18031 __pyx_r = __pyx_pf_8PyClical_86_test(__pyx_self);
18034 __Pyx_RefNannyFinishContext();
18038 static PyObject *__pyx_pf_8PyClical_86_test(CYTHON_UNUSED PyObject *__pyx_self) {
18039 PyObject *__pyx_v_PyClical = NULL;
18040 PyObject *__pyx_v_doctest = NULL;
18041 PyObject *__pyx_r = NULL;
18042 __Pyx_RefNannyDeclarations
18043 PyObject *__pyx_t_1 = NULL;
18044 PyObject *__pyx_t_2 = NULL;
18045 PyObject *__pyx_t_3 = NULL;
18046 __Pyx_RefNannySetupContext(
"_test", 0);
18055 __pyx_t_1 = __Pyx_Import(__pyx_n_s_PyClical, 0, -1);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1914, __pyx_L1_error)
18056 __Pyx_GOTREF(__pyx_t_1);
18057 __pyx_v_PyClical = __pyx_t_1;
18059 __pyx_t_1 = __Pyx_Import(__pyx_n_s_doctest, 0, -1);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1914, __pyx_L1_error)
18060 __Pyx_GOTREF(__pyx_t_1);
18061 __pyx_v_doctest = __pyx_t_1;
18071 __Pyx_XDECREF(__pyx_r);
18072 __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_v_doctest, __pyx_n_s_testmod);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1915, __pyx_L1_error)
18073 __Pyx_GOTREF(__pyx_t_2);
18075 if (CYTHON_UNPACK_METHODS && likely(PyMethod_Check(__pyx_t_2))) {
18076 __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
18077 if (likely(__pyx_t_3)) {
18078 PyObject*
function = PyMethod_GET_FUNCTION(__pyx_t_2);
18079 __Pyx_INCREF(__pyx_t_3);
18080 __Pyx_INCREF(
function);
18081 __Pyx_DECREF_SET(__pyx_t_2,
function);
18084 __pyx_t_1 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_2, __pyx_t_3, __pyx_v_PyClical) : __Pyx_PyObject_CallOneArg(__pyx_t_2, __pyx_v_PyClical);
18085 __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
18086 if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1915, __pyx_L1_error)
18087 __Pyx_GOTREF(__pyx_t_1);
18088 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18089 __pyx_r = __pyx_t_1;
18103 __Pyx_XDECREF(__pyx_t_1);
18104 __Pyx_XDECREF(__pyx_t_2);
18105 __Pyx_XDECREF(__pyx_t_3);
18106 __Pyx_AddTraceback(
"PyClical._test", __pyx_clineno, __pyx_lineno, __pyx_filename);
18109 __Pyx_XDECREF(__pyx_v_PyClical);
18110 __Pyx_XDECREF(__pyx_v_doctest);
18111 __Pyx_XGIVEREF(__pyx_r);
18112 __Pyx_RefNannyFinishContext();
18115 static struct __pyx_vtabstruct_8PyClical_index_set __pyx_vtable_8PyClical_index_set;
18117 static PyObject *__pyx_tp_new_8PyClical_index_set(PyTypeObject *t, PyObject *a, PyObject *k) {
18118 struct __pyx_obj_8PyClical_index_set *p;
18120 if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
18121 o = (*t->tp_alloc)(t, 0);
18123 o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
18125 if (unlikely(!o))
return 0;
18126 p = ((
struct __pyx_obj_8PyClical_index_set *)o);
18127 p->__pyx_vtab = __pyx_vtabptr_8PyClical_index_set;
18128 if (unlikely(__pyx_pw_8PyClical_9index_set_3__cinit__(o, a, k) < 0))
goto bad;
18131 Py_DECREF(o); o = 0;
18135 static void __pyx_tp_dealloc_8PyClical_index_set(PyObject *o) {
18136 #if CYTHON_USE_TP_FINALIZE 18137 if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
18138 if (PyObject_CallFinalizerFromDealloc(o))
return;
18142 PyObject *etype, *eval, *etb;
18143 PyErr_Fetch(&etype, &eval, &etb);
18145 __pyx_pw_8PyClical_9index_set_5__dealloc__(o);
18147 PyErr_Restore(etype, eval, etb);
18149 (*Py_TYPE(o)->tp_free)(o);
18151 static PyObject *__pyx_sq_item_8PyClical_index_set(PyObject *o, Py_ssize_t
i) {
18153 PyObject *x = PyInt_FromSsize_t(
i);
if(!x)
return 0;
18154 r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
18159 static int __pyx_mp_ass_subscript_8PyClical_index_set(PyObject *o, PyObject *
i, PyObject *v) {
18161 return __pyx_pw_8PyClical_9index_set_9__setitem__(o,
i, v);
18164 PyErr_Format(PyExc_NotImplementedError,
18165 "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
18170 static PyMethodDef __pyx_methods_8PyClical_index_set[] = {
18171 {
"copy", (PyCFunction)__pyx_pw_8PyClical_9index_set_1copy, METH_NOARGS, __pyx_doc_8PyClical_9index_set_copy},
18172 {
"count", (PyCFunction)__pyx_pw_8PyClical_9index_set_32count, METH_NOARGS, __pyx_doc_8PyClical_9index_set_31count},
18173 {
"count_neg", (PyCFunction)__pyx_pw_8PyClical_9index_set_34count_neg, METH_NOARGS, __pyx_doc_8PyClical_9index_set_33count_neg},
18174 {
"count_pos", (PyCFunction)__pyx_pw_8PyClical_9index_set_36count_pos, METH_NOARGS, __pyx_doc_8PyClical_9index_set_35count_pos},
18175 {
"min", (PyCFunction)__pyx_pw_8PyClical_9index_set_38min, METH_NOARGS, __pyx_doc_8PyClical_9index_set_37min},
18176 {
"max", (PyCFunction)__pyx_pw_8PyClical_9index_set_40max, METH_NOARGS, __pyx_doc_8PyClical_9index_set_39max},
18177 {
"hash_fn", (PyCFunction)__pyx_pw_8PyClical_9index_set_42hash_fn, METH_NOARGS, __pyx_doc_8PyClical_9index_set_41hash_fn},
18178 {
"sign_of_mult", (PyCFunction)__pyx_pw_8PyClical_9index_set_44sign_of_mult, METH_O, __pyx_doc_8PyClical_9index_set_43sign_of_mult},
18179 {
"sign_of_square", (PyCFunction)__pyx_pw_8PyClical_9index_set_46sign_of_square, METH_NOARGS, __pyx_doc_8PyClical_9index_set_45sign_of_square},
18180 {
"__reduce_cython__", (PyCFunction)__pyx_pw_8PyClical_9index_set_52__reduce_cython__, METH_NOARGS, 0},
18181 {
"__setstate_cython__", (PyCFunction)__pyx_pw_8PyClical_9index_set_54__setstate_cython__, METH_O, 0},
18185 static PyNumberMethods __pyx_tp_as_number_index_set = {
18189 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18199 __pyx_pw_8PyClical_9index_set_18__invert__,
18202 __pyx_pw_8PyClical_9index_set_24__and__,
18203 __pyx_pw_8PyClical_9index_set_20__xor__,
18204 __pyx_pw_8PyClical_9index_set_28__or__,
18205 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18209 #if PY_MAJOR_VERSION < 3 18215 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18218 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18224 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18231 __pyx_pw_8PyClical_9index_set_26__iand__,
18232 __pyx_pw_8PyClical_9index_set_22__ixor__,
18233 __pyx_pw_8PyClical_9index_set_30__ior__,
18239 #if PY_VERSION_HEX >= 0x03050000 18242 #if PY_VERSION_HEX >= 0x03050000 18247 static PySequenceMethods __pyx_tp_as_sequence_index_set = {
18251 __pyx_sq_item_8PyClical_index_set,
18255 __pyx_pw_8PyClical_9index_set_13__contains__,
18260 static PyMappingMethods __pyx_tp_as_mapping_index_set = {
18262 __pyx_pw_8PyClical_9index_set_11__getitem__,
18263 __pyx_mp_ass_subscript_8PyClical_index_set,
18266 static PyTypeObject __pyx_type_8PyClical_index_set = {
18267 PyVarObject_HEAD_INIT(0, 0)
18268 "PyClical.index_set",
18269 sizeof(
struct __pyx_obj_8PyClical_index_set),
18271 __pyx_tp_dealloc_8PyClical_index_set,
18272 #if PY_VERSION_HEX < 0x030800b4
18275 #if PY_VERSION_HEX >= 0x030800b4
18280 #if PY_MAJOR_VERSION < 3 18283 #if PY_MAJOR_VERSION >= 3 18286 __pyx_pw_8PyClical_9index_set_48__repr__,
18287 &__pyx_tp_as_number_index_set,
18288 &__pyx_tp_as_sequence_index_set,
18289 &__pyx_tp_as_mapping_index_set,
18292 __pyx_pw_8PyClical_9index_set_50__str__,
18296 Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE,
18297 "\n Python class index_set wraps C++ class IndexSet.\n ",
18300 __pyx_pw_8PyClical_9index_set_7__richcmp__,
18302 __pyx_pw_8PyClical_9index_set_15__iter__,
18304 __pyx_methods_8PyClical_index_set,
18314 __pyx_tp_new_8PyClical_index_set,
18324 #if PY_VERSION_HEX >= 0x030400a1 18327 #if PY_VERSION_HEX >= 0x030800b1 18330 #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000 18334 static struct __pyx_vtabstruct_8PyClical_clifford __pyx_vtable_8PyClical_clifford;
18336 static PyObject *__pyx_tp_new_8PyClical_clifford(PyTypeObject *t, PyObject *a, PyObject *k) {
18337 struct __pyx_obj_8PyClical_clifford *p;
18339 if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
18340 o = (*t->tp_alloc)(t, 0);
18342 o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
18344 if (unlikely(!o))
return 0;
18345 p = ((
struct __pyx_obj_8PyClical_clifford *)o);
18346 p->__pyx_vtab = __pyx_vtabptr_8PyClical_clifford;
18347 if (unlikely(__pyx_pw_8PyClical_8clifford_3__cinit__(o, a, k) < 0))
goto bad;
18350 Py_DECREF(o); o = 0;
18354 static void __pyx_tp_dealloc_8PyClical_clifford(PyObject *o) {
18355 #if CYTHON_USE_TP_FINALIZE 18356 if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
18357 if (PyObject_CallFinalizerFromDealloc(o))
return;
18361 PyObject *etype, *eval, *etb;
18362 PyErr_Fetch(&etype, &eval, &etb);
18364 __pyx_pw_8PyClical_8clifford_5__dealloc__(o);
18366 PyErr_Restore(etype, eval, etb);
18368 (*Py_TYPE(o)->tp_free)(o);
18370 static PyObject *__pyx_sq_item_8PyClical_clifford(PyObject *o, Py_ssize_t
i) {
18372 PyObject *x = PyInt_FromSsize_t(
i);
if(!x)
return 0;
18373 r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
18378 static PyMethodDef __pyx_methods_8PyClical_clifford[] = {
18379 {
"copy", (PyCFunction)__pyx_pw_8PyClical_8clifford_1copy, METH_NOARGS, __pyx_doc_8PyClical_8clifford_copy},
18380 {
"reframe", (PyCFunction)__pyx_pw_8PyClical_8clifford_11reframe, METH_O, __pyx_doc_8PyClical_8clifford_10reframe},
18381 {
"inv", (PyCFunction)__pyx_pw_8PyClical_8clifford_49inv, METH_NOARGS, __pyx_doc_8PyClical_8clifford_48inv},
18382 {
"pow", (PyCFunction)__pyx_pw_8PyClical_8clifford_57pow, METH_O, __pyx_doc_8PyClical_8clifford_56pow},
18383 {
"outer_pow", (PyCFunction)__pyx_pw_8PyClical_8clifford_59outer_pow, METH_O, __pyx_doc_8PyClical_8clifford_58outer_pow},
18384 {
"scalar", (PyCFunction)__pyx_pw_8PyClical_8clifford_63scalar, METH_NOARGS, __pyx_doc_8PyClical_8clifford_62scalar},
18385 {
"pure", (PyCFunction)__pyx_pw_8PyClical_8clifford_65pure, METH_NOARGS, __pyx_doc_8PyClical_8clifford_64pure},
18386 {
"even", (PyCFunction)__pyx_pw_8PyClical_8clifford_67even, METH_NOARGS, __pyx_doc_8PyClical_8clifford_66even},
18387 {
"odd", (PyCFunction)__pyx_pw_8PyClical_8clifford_69odd, METH_NOARGS, __pyx_doc_8PyClical_8clifford_68odd},
18388 {
"vector_part", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_8clifford_71vector_part, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_70vector_part},
18389 {
"involute", (PyCFunction)__pyx_pw_8PyClical_8clifford_73involute, METH_NOARGS, __pyx_doc_8PyClical_8clifford_72involute},
18390 {
"reverse", (PyCFunction)__pyx_pw_8PyClical_8clifford_75reverse, METH_NOARGS, __pyx_doc_8PyClical_8clifford_74reverse},
18391 {
"conj", (PyCFunction)__pyx_pw_8PyClical_8clifford_77conj, METH_NOARGS, __pyx_doc_8PyClical_8clifford_76conj},
18392 {
"quad", (PyCFunction)__pyx_pw_8PyClical_8clifford_79quad, METH_NOARGS, __pyx_doc_8PyClical_8clifford_78quad},
18393 {
"norm", (PyCFunction)__pyx_pw_8PyClical_8clifford_81norm, METH_NOARGS, __pyx_doc_8PyClical_8clifford_80norm},
18394 {
"abs", (PyCFunction)__pyx_pw_8PyClical_8clifford_83abs, METH_NOARGS, __pyx_doc_8PyClical_8clifford_82abs},
18395 {
"max_abs", (PyCFunction)__pyx_pw_8PyClical_8clifford_85max_abs, METH_NOARGS, __pyx_doc_8PyClical_8clifford_84max_abs},
18396 {
"truncated", (PyCFunction)__pyx_pw_8PyClical_8clifford_87truncated, METH_O, __pyx_doc_8PyClical_8clifford_86truncated},
18397 {
"isnan", (PyCFunction)__pyx_pw_8PyClical_8clifford_89isnan, METH_NOARGS, __pyx_doc_8PyClical_8clifford_88isnan},
18398 {
"frame", (PyCFunction)__pyx_pw_8PyClical_8clifford_91frame, METH_NOARGS, __pyx_doc_8PyClical_8clifford_90frame},
18399 {
"__reduce_cython__", (PyCFunction)__pyx_pw_8PyClical_8clifford_97__reduce_cython__, METH_NOARGS, 0},
18400 {
"__setstate_cython__", (PyCFunction)__pyx_pw_8PyClical_8clifford_99__setstate_cython__, METH_O, 0},
18404 static PyNumberMethods __pyx_tp_as_number_clifford = {
18405 __pyx_pw_8PyClical_8clifford_21__add__,
18406 __pyx_pw_8PyClical_8clifford_25__sub__,
18407 __pyx_pw_8PyClical_8clifford_29__mul__,
18408 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18409 __pyx_pw_8PyClical_8clifford_45__div__,
18411 __pyx_pw_8PyClical_8clifford_33__mod__,
18413 __pyx_pw_8PyClical_8clifford_55__pow__,
18414 __pyx_pw_8PyClical_8clifford_17__neg__,
18415 __pyx_pw_8PyClical_8clifford_19__pos__,
18421 __pyx_pw_8PyClical_8clifford_37__and__,
18422 __pyx_pw_8PyClical_8clifford_41__xor__,
18423 __pyx_pw_8PyClical_8clifford_51__or__,
18424 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18428 #if PY_MAJOR_VERSION < 3 18434 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18437 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18440 __pyx_pw_8PyClical_8clifford_23__iadd__,
18441 __pyx_pw_8PyClical_8clifford_27__isub__,
18442 __pyx_pw_8PyClical_8clifford_31__imul__,
18443 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18444 __pyx_pw_8PyClical_8clifford_47__idiv__,
18446 __pyx_pw_8PyClical_8clifford_35__imod__,
18450 __pyx_pw_8PyClical_8clifford_39__iand__,
18451 __pyx_pw_8PyClical_8clifford_43__ixor__,
18452 __pyx_pw_8PyClical_8clifford_53__ior__,
18458 #if PY_VERSION_HEX >= 0x03050000 18461 #if PY_VERSION_HEX >= 0x03050000 18466 static PySequenceMethods __pyx_tp_as_sequence_clifford = {
18470 __pyx_sq_item_8PyClical_clifford,
18474 __pyx_pw_8PyClical_8clifford_7__contains__,
18479 static PyMappingMethods __pyx_tp_as_mapping_clifford = {
18481 __pyx_pw_8PyClical_8clifford_15__getitem__,
18485 static PyTypeObject __pyx_type_8PyClical_clifford = {
18486 PyVarObject_HEAD_INIT(0, 0)
18487 "PyClical.clifford",
18488 sizeof(
struct __pyx_obj_8PyClical_clifford),
18490 __pyx_tp_dealloc_8PyClical_clifford,
18491 #if PY_VERSION_HEX < 0x030800b4
18494 #if PY_VERSION_HEX >= 0x030800b4
18499 #if PY_MAJOR_VERSION < 3 18502 #if PY_MAJOR_VERSION >= 3 18505 __pyx_pw_8PyClical_8clifford_93__repr__,
18506 &__pyx_tp_as_number_clifford,
18507 &__pyx_tp_as_sequence_clifford,
18508 &__pyx_tp_as_mapping_clifford,
18510 __pyx_pw_8PyClical_8clifford_61__call__,
18511 __pyx_pw_8PyClical_8clifford_95__str__,
18515 Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE,
18516 "\n Python class clifford wraps C++ class Clifford.\n ",
18519 __pyx_pw_8PyClical_8clifford_13__richcmp__,
18521 __pyx_pw_8PyClical_8clifford_9__iter__,
18523 __pyx_methods_8PyClical_clifford,
18533 __pyx_tp_new_8PyClical_clifford,
18543 #if PY_VERSION_HEX >= 0x030400a1 18546 #if PY_VERSION_HEX >= 0x030800b1 18549 #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000 18554 static struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *__pyx_freelist_8PyClical___pyx_scope_struct____iter__[8];
18555 static int __pyx_freecount_8PyClical___pyx_scope_struct____iter__ = 0;
18557 static PyObject *__pyx_tp_new_8PyClical___pyx_scope_struct____iter__(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
18559 if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_8PyClical___pyx_scope_struct____iter__ > 0) & (t->tp_basicsize ==
sizeof(
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__)))) {
18560 o = (PyObject*)__pyx_freelist_8PyClical___pyx_scope_struct____iter__[--__pyx_freecount_8PyClical___pyx_scope_struct____iter__];
18561 memset(o, 0,
sizeof(
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__));
18562 (void) PyObject_INIT(o, t);
18563 PyObject_GC_Track(o);
18565 o = (*t->tp_alloc)(t, 0);
18566 if (unlikely(!o))
return 0;
18571 static void __pyx_tp_dealloc_8PyClical___pyx_scope_struct____iter__(PyObject *o) {
18572 struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *p = (
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o;
18573 PyObject_GC_UnTrack(o);
18574 Py_CLEAR(p->__pyx_v_idx);
18575 Py_CLEAR(p->__pyx_v_self);
18576 Py_CLEAR(p->__pyx_t_0);
18577 if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_8PyClical___pyx_scope_struct____iter__ < 8) & (Py_TYPE(o)->tp_basicsize ==
sizeof(
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__)))) {
18578 __pyx_freelist_8PyClical___pyx_scope_struct____iter__[__pyx_freecount_8PyClical___pyx_scope_struct____iter__++] = ((
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o);
18580 (*Py_TYPE(o)->tp_free)(o);
18584 static int __pyx_tp_traverse_8PyClical___pyx_scope_struct____iter__(PyObject *o, visitproc v,
void *a) {
18586 struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *p = (
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o;
18587 if (p->__pyx_v_idx) {
18588 e = (*v)(p->__pyx_v_idx, a);
if (
e)
return e;
18590 if (p->__pyx_v_self) {
18591 e = (*v)(((PyObject *)p->__pyx_v_self), a);
if (
e)
return e;
18593 if (p->__pyx_t_0) {
18594 e = (*v)(p->__pyx_t_0, a);
if (
e)
return e;
18599 static PyTypeObject __pyx_type_8PyClical___pyx_scope_struct____iter__ = {
18600 PyVarObject_HEAD_INIT(0, 0)
18601 "PyClical.__pyx_scope_struct____iter__",
18602 sizeof(
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__),
18604 __pyx_tp_dealloc_8PyClical___pyx_scope_struct____iter__,
18605 #if PY_VERSION_HEX < 0x030800b4
18608 #if PY_VERSION_HEX >= 0x030800b4
18613 #if PY_MAJOR_VERSION < 3 18616 #if PY_MAJOR_VERSION >= 3 18629 Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC,
18631 __pyx_tp_traverse_8PyClical___pyx_scope_struct____iter__,
18647 __pyx_tp_new_8PyClical___pyx_scope_struct____iter__,
18657 #if PY_VERSION_HEX >= 0x030400a1 18660 #if PY_VERSION_HEX >= 0x030800b1 18663 #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000 18668 static PyMethodDef __pyx_methods[] = {
18669 {
"compare", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_3compare, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_2compare},
18670 {
"min_neg", (PyCFunction)__pyx_pw_8PyClical_5min_neg, METH_O, __pyx_doc_8PyClical_4min_neg},
18671 {
"max_pos", (PyCFunction)__pyx_pw_8PyClical_7max_pos, METH_O, __pyx_doc_8PyClical_6max_pos},
18672 {
"inv", (PyCFunction)__pyx_pw_8PyClical_11inv, METH_O, __pyx_doc_8PyClical_10inv},
18673 {
"scalar", (PyCFunction)__pyx_pw_8PyClical_13scalar, METH_O, __pyx_doc_8PyClical_12scalar},
18674 {
"real", (PyCFunction)__pyx_pw_8PyClical_15real, METH_O, __pyx_doc_8PyClical_14real},
18675 {
"imag", (PyCFunction)__pyx_pw_8PyClical_17imag, METH_O, __pyx_doc_8PyClical_16imag},
18676 {
"pure", (PyCFunction)__pyx_pw_8PyClical_19pure, METH_O, __pyx_doc_8PyClical_18pure},
18677 {
"even", (PyCFunction)__pyx_pw_8PyClical_21even, METH_O, __pyx_doc_8PyClical_20even},
18678 {
"odd", (PyCFunction)__pyx_pw_8PyClical_23odd, METH_O, __pyx_doc_8PyClical_22odd},
18679 {
"involute", (PyCFunction)__pyx_pw_8PyClical_25involute, METH_O, __pyx_doc_8PyClical_24involute},
18680 {
"reverse", (PyCFunction)__pyx_pw_8PyClical_27reverse, METH_O, __pyx_doc_8PyClical_26reverse},
18681 {
"conj", (PyCFunction)__pyx_pw_8PyClical_29conj, METH_O, __pyx_doc_8PyClical_28conj},
18682 {
"quad", (PyCFunction)__pyx_pw_8PyClical_31quad, METH_O, __pyx_doc_8PyClical_30quad},
18683 {
"norm", (PyCFunction)__pyx_pw_8PyClical_33norm, METH_O, __pyx_doc_8PyClical_32norm},
18684 {
"abs", (PyCFunction)__pyx_pw_8PyClical_35abs, METH_O, __pyx_doc_8PyClical_34abs},
18685 {
"max_abs", (PyCFunction)__pyx_pw_8PyClical_37max_abs, METH_O, __pyx_doc_8PyClical_36max_abs},
18686 {
"pow", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_39pow, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_38pow},
18687 {
"outer_pow", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_41outer_pow, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_40outer_pow},
18688 {
"complexifier", (PyCFunction)__pyx_pw_8PyClical_43complexifier, METH_O, __pyx_doc_8PyClical_42complexifier},
18689 {
"sqrt", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_45sqrt, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_44sqrt},
18690 {
"exp", (PyCFunction)__pyx_pw_8PyClical_47exp, METH_O, __pyx_doc_8PyClical_46exp},
18691 {
"log", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_49log, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_48log},
18692 {
"cos", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_51cos, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_50cos},
18693 {
"acos", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_53acos, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_52acos},
18694 {
"cosh", (PyCFunction)__pyx_pw_8PyClical_55cosh, METH_O, __pyx_doc_8PyClical_54cosh},
18695 {
"acosh", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_57acosh, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_56acosh},
18696 {
"sin", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_59sin, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_58sin},
18697 {
"asin", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_61asin, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_60asin},
18698 {
"sinh", (PyCFunction)__pyx_pw_8PyClical_63sinh, METH_O, __pyx_doc_8PyClical_62sinh},
18699 {
"asinh", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_65asinh, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_64asinh},
18700 {
"tan", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_67tan, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_66tan},
18701 {
"atan", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_69atan, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_68atan},
18702 {
"tanh", (PyCFunction)__pyx_pw_8PyClical_71tanh, METH_O, __pyx_doc_8PyClical_70tanh},
18703 {
"atanh", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_73atanh, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_72atanh},
18704 {
"random_clifford", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_75random_clifford, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_74random_clifford},
18705 {
"cga3", (PyCFunction)__pyx_pw_8PyClical_77cga3, METH_O, __pyx_doc_8PyClical_76cga3},
18706 {
"cga3std", (PyCFunction)__pyx_pw_8PyClical_79cga3std, METH_O, __pyx_doc_8PyClical_78cga3std},
18707 {
"agc3", (PyCFunction)__pyx_pw_8PyClical_81agc3, METH_O, __pyx_doc_8PyClical_80agc3},
18711 #if PY_MAJOR_VERSION >= 3 18712 #if CYTHON_PEP489_MULTI_PHASE_INIT 18713 static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def);
18714 static int __pyx_pymod_exec_PyClical(PyObject* module);
18715 static PyModuleDef_Slot __pyx_moduledef_slots[] = {
18716 {Py_mod_create, (
void*)__pyx_pymod_create},
18717 {Py_mod_exec, (
void*)__pyx_pymod_exec_PyClical},
18722 static struct PyModuleDef __pyx_moduledef = {
18723 PyModuleDef_HEAD_INIT,
18726 #if CYTHON_PEP489_MULTI_PHASE_INIT 18732 #if CYTHON_PEP489_MULTI_PHASE_INIT 18733 __pyx_moduledef_slots,
18742 #ifndef CYTHON_SMALL_CODE 18743 #if defined(__clang__) 18744 #define CYTHON_SMALL_CODE 18745 #elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3)) 18746 #define CYTHON_SMALL_CODE __attribute__((cold)) 18748 #define CYTHON_SMALL_CODE 18752 static __Pyx_StringTabEntry __pyx_string_tab[] = {
18753 {&__pyx_kp_s_, __pyx_k_,
sizeof(__pyx_k_), 0, 0, 1, 0},
18754 {&__pyx_kp_s_0_8_2, __pyx_k_0_8_2,
sizeof(__pyx_k_0_8_2), 0, 0, 1, 0},
18755 {&__pyx_kp_u_Abbreviation_for_clifford_index, __pyx_k_Abbreviation_for_clifford_index,
sizeof(__pyx_k_Abbreviation_for_clifford_index), 0, 1, 0, 0},
18756 {&__pyx_kp_u_Abbreviation_for_index_set_q_p, __pyx_k_Abbreviation_for_index_set_q_p,
sizeof(__pyx_k_Abbreviation_for_index_set_q_p), 0, 1, 0, 0},
18757 {&__pyx_kp_u_Absolute_value_of_multivector_m, __pyx_k_Absolute_value_of_multivector_m,
sizeof(__pyx_k_Absolute_value_of_multivector_m), 0, 1, 0, 0},
18758 {&__pyx_kp_u_Absolute_value_square_root_of_n, __pyx_k_Absolute_value_square_root_of_n,
sizeof(__pyx_k_Absolute_value_square_root_of_n), 0, 1, 0, 0},
18759 {&__pyx_kp_s_Cannot_initialize_clifford_objec, __pyx_k_Cannot_initialize_clifford_objec,
sizeof(__pyx_k_Cannot_initialize_clifford_objec), 0, 0, 1, 0},
18760 {&__pyx_kp_s_Cannot_initialize_index_set_obje, __pyx_k_Cannot_initialize_index_set_obje,
sizeof(__pyx_k_Cannot_initialize_index_set_obje), 0, 0, 1, 0},
18761 {&__pyx_kp_s_Cannot_reframe, __pyx_k_Cannot_reframe,
sizeof(__pyx_k_Cannot_reframe), 0, 0, 1, 0},
18762 {&__pyx_kp_s_Cannot_take_vector_part_of, __pyx_k_Cannot_take_vector_part_of,
sizeof(__pyx_k_Cannot_take_vector_part_of), 0, 0, 1, 0},
18763 {&__pyx_kp_u_Cardinality_Number_of_indices_i, __pyx_k_Cardinality_Number_of_indices_i,
sizeof(__pyx_k_Cardinality_Number_of_indices_i), 0, 1, 0, 0},
18764 {&__pyx_kp_u_Check_if_a_multivector_contains, __pyx_k_Check_if_a_multivector_contains,
sizeof(__pyx_k_Check_if_a_multivector_contains), 0, 1, 0, 0},
18765 {&__pyx_kp_u_Conjugation_reverse_o_involute, __pyx_k_Conjugation_reverse_o_involute,
sizeof(__pyx_k_Conjugation_reverse_o_involute), 0, 1, 0, 0},
18766 {&__pyx_kp_u_Conjugation_reverse_o_involute_2, __pyx_k_Conjugation_reverse_o_involute_2,
sizeof(__pyx_k_Conjugation_reverse_o_involute_2), 0, 1, 0, 0},
18767 {&__pyx_kp_u_Contraction_print_clifford_1_cl, __pyx_k_Contraction_print_clifford_1_cl,
sizeof(__pyx_k_Contraction_print_clifford_1_cl), 0, 1, 0, 0},
18768 {&__pyx_kp_u_Contraction_x_clifford_1_x_clif, __pyx_k_Contraction_x_clifford_1_x_clif,
sizeof(__pyx_k_Contraction_x_clifford_1_x_clif), 0, 1, 0, 0},
18769 {&__pyx_kp_u_Convert_CGA3_null_vector_to_Euc, __pyx_k_Convert_CGA3_null_vector_to_Euc,
sizeof(__pyx_k_Convert_CGA3_null_vector_to_Euc), 0, 1, 0, 0},
18770 {&__pyx_kp_u_Convert_CGA3_null_vector_to_sta, __pyx_k_Convert_CGA3_null_vector_to_sta,
sizeof(__pyx_k_Convert_CGA3_null_vector_to_sta), 0, 1, 0, 0},
18771 {&__pyx_kp_u_Convert_Euclidean_3D_multivecto, __pyx_k_Convert_Euclidean_3D_multivecto,
sizeof(__pyx_k_Convert_Euclidean_3D_multivecto), 0, 1, 0, 0},
18772 {&__pyx_kp_u_Copy_this_clifford_object_x_cli, __pyx_k_Copy_this_clifford_object_x_cli,
sizeof(__pyx_k_Copy_this_clifford_object_x_cli), 0, 1, 0, 0},
18773 {&__pyx_kp_u_Copy_this_index_set_object_s_in, __pyx_k_Copy_this_index_set_object_s_in,
sizeof(__pyx_k_Copy_this_index_set_object_s_in), 0, 1, 0, 0},
18774 {&__pyx_kp_u_Cosine_of_multivector_with_opti, __pyx_k_Cosine_of_multivector_with_opti,
sizeof(__pyx_k_Cosine_of_multivector_with_opti), 0, 1, 0, 0},
18775 {&__pyx_kp_u_Even_part_of_multivector_sum_of, __pyx_k_Even_part_of_multivector_sum_of,
sizeof(__pyx_k_Even_part_of_multivector_sum_of), 0, 1, 0, 0},
18776 {&__pyx_kp_u_Even_part_of_multivector_sum_of_2, __pyx_k_Even_part_of_multivector_sum_of_2,
sizeof(__pyx_k_Even_part_of_multivector_sum_of_2), 0, 1, 0, 0},
18777 {&__pyx_kp_u_Exponential_of_multivector_x_cl, __pyx_k_Exponential_of_multivector_x_cl,
sizeof(__pyx_k_Exponential_of_multivector_x_cl), 0, 1, 0, 0},
18778 {&__pyx_kp_u_Geometric_difference_print_clif, __pyx_k_Geometric_difference_print_clif,
sizeof(__pyx_k_Geometric_difference_print_clif), 0, 1, 0, 0},
18779 {&__pyx_kp_u_Geometric_difference_x_clifford, __pyx_k_Geometric_difference_x_clifford,
sizeof(__pyx_k_Geometric_difference_x_clifford), 0, 1, 0, 0},
18780 {&__pyx_kp_u_Geometric_multiplicative_invers, __pyx_k_Geometric_multiplicative_invers,
sizeof(__pyx_k_Geometric_multiplicative_invers), 0, 1, 0, 0},
18781 {&__pyx_kp_u_Geometric_multiplicative_invers_2, __pyx_k_Geometric_multiplicative_invers_2,
sizeof(__pyx_k_Geometric_multiplicative_invers_2), 0, 1, 0, 0},
18782 {&__pyx_kp_u_Geometric_product_print_cliffor, __pyx_k_Geometric_product_print_cliffor,
sizeof(__pyx_k_Geometric_product_print_cliffor), 0, 1, 0, 0},
18783 {&__pyx_kp_u_Geometric_product_x_clifford_2, __pyx_k_Geometric_product_x_clifford_2,
sizeof(__pyx_k_Geometric_product_x_clifford_2), 0, 1, 0, 0},
18784 {&__pyx_kp_u_Geometric_quotient_print_cliffo, __pyx_k_Geometric_quotient_print_cliffo,
sizeof(__pyx_k_Geometric_quotient_print_cliffo), 0, 1, 0, 0},
18785 {&__pyx_kp_u_Geometric_quotient_x_clifford_1, __pyx_k_Geometric_quotient_x_clifford_1,
sizeof(__pyx_k_Geometric_quotient_x_clifford_1), 0, 1, 0, 0},
18786 {&__pyx_kp_u_Geometric_sum_print_clifford_1, __pyx_k_Geometric_sum_print_clifford_1,
sizeof(__pyx_k_Geometric_sum_print_clifford_1), 0, 1, 0, 0},
18787 {&__pyx_kp_u_Geometric_sum_x_clifford_1_x_cl, __pyx_k_Geometric_sum_x_clifford_1_x_cl,
sizeof(__pyx_k_Geometric_sum_x_clifford_1_x_cl), 0, 1, 0, 0},
18788 {&__pyx_kp_u_Get_the_value_of_an_index_set_o, __pyx_k_Get_the_value_of_an_index_set_o,
sizeof(__pyx_k_Get_the_value_of_an_index_set_o), 0, 1, 0, 0},
18789 {&__pyx_kp_u_Hyperbolic_cosine_of_multivecto, __pyx_k_Hyperbolic_cosine_of_multivecto,
sizeof(__pyx_k_Hyperbolic_cosine_of_multivecto), 0, 1, 0, 0},
18790 {&__pyx_kp_u_Hyperbolic_sine_of_multivector, __pyx_k_Hyperbolic_sine_of_multivector,
sizeof(__pyx_k_Hyperbolic_sine_of_multivector), 0, 1, 0, 0},
18791 {&__pyx_kp_u_Hyperbolic_tangent_of_multivect, __pyx_k_Hyperbolic_tangent_of_multivect,
sizeof(__pyx_k_Hyperbolic_tangent_of_multivect), 0, 1, 0, 0},
18792 {&__pyx_kp_u_Imaginary_part_deprecated_alway, __pyx_k_Imaginary_part_deprecated_alway,
sizeof(__pyx_k_Imaginary_part_deprecated_alway), 0, 1, 0, 0},
18793 {&__pyx_n_s_IndexError, __pyx_k_IndexError,
sizeof(__pyx_k_IndexError), 0, 0, 1, 1},
18794 {&__pyx_kp_u_Inner_product_print_clifford_1, __pyx_k_Inner_product_print_clifford_1,
sizeof(__pyx_k_Inner_product_print_clifford_1), 0, 1, 0, 0},
18795 {&__pyx_kp_u_Inner_product_x_clifford_1_x_cl, __pyx_k_Inner_product_x_clifford_1_x_cl,
sizeof(__pyx_k_Inner_product_x_clifford_1_x_cl), 0, 1, 0, 0},
18796 {&__pyx_kp_u_Integer_power_of_multivector_ob, __pyx_k_Integer_power_of_multivector_ob,
sizeof(__pyx_k_Integer_power_of_multivector_ob), 0, 1, 0, 0},
18797 {&__pyx_n_s_Integral, __pyx_k_Integral,
sizeof(__pyx_k_Integral), 0, 0, 1, 1},
18798 {&__pyx_kp_u_Inverse_cosine_of_multivector_w, __pyx_k_Inverse_cosine_of_multivector_w,
sizeof(__pyx_k_Inverse_cosine_of_multivector_w), 0, 1, 0, 0},
18799 {&__pyx_kp_u_Inverse_hyperbolic_cosine_of_mu, __pyx_k_Inverse_hyperbolic_cosine_of_mu,
sizeof(__pyx_k_Inverse_hyperbolic_cosine_of_mu), 0, 1, 0, 0},
18800 {&__pyx_kp_u_Inverse_hyperbolic_sine_of_mult, __pyx_k_Inverse_hyperbolic_sine_of_mult,
sizeof(__pyx_k_Inverse_hyperbolic_sine_of_mult), 0, 1, 0, 0},
18801 {&__pyx_kp_u_Inverse_hyperbolic_tangent_of_m, __pyx_k_Inverse_hyperbolic_tangent_of_m,
sizeof(__pyx_k_Inverse_hyperbolic_tangent_of_m), 0, 1, 0, 0},
18802 {&__pyx_kp_u_Inverse_sine_of_multivector_wit, __pyx_k_Inverse_sine_of_multivector_wit,
sizeof(__pyx_k_Inverse_sine_of_multivector_wit), 0, 1, 0, 0},
18803 {&__pyx_kp_u_Inverse_tangent_of_multivector, __pyx_k_Inverse_tangent_of_multivector,
sizeof(__pyx_k_Inverse_tangent_of_multivector), 0, 1, 0, 0},
18804 {&__pyx_kp_u_Iterate_over_the_indices_of_an, __pyx_k_Iterate_over_the_indices_of_an,
sizeof(__pyx_k_Iterate_over_the_indices_of_an), 0, 1, 0, 0},
18805 {&__pyx_kp_u_Main_involution_each_i_is_repla, __pyx_k_Main_involution_each_i_is_repla,
sizeof(__pyx_k_Main_involution_each_i_is_repla), 0, 1, 0, 0},
18806 {&__pyx_kp_u_Main_involution_each_i_is_repla_2, __pyx_k_Main_involution_each_i_is_repla_2,
sizeof(__pyx_k_Main_involution_each_i_is_repla_2), 0, 1, 0, 0},
18807 {&__pyx_kp_u_Maximum_absolute_value_of_coord, __pyx_k_Maximum_absolute_value_of_coord,
sizeof(__pyx_k_Maximum_absolute_value_of_coord), 0, 1, 0, 0},
18808 {&__pyx_kp_u_Maximum_member_index_set_1_1_2, __pyx_k_Maximum_member_index_set_1_1_2,
sizeof(__pyx_k_Maximum_member_index_set_1_1_2), 0, 1, 0, 0},
18809 {&__pyx_kp_u_Maximum_of_absolute_values_of_c, __pyx_k_Maximum_of_absolute_values_of_c,
sizeof(__pyx_k_Maximum_of_absolute_values_of_c), 0, 1, 0, 0},
18810 {&__pyx_kp_u_Maximum_positive_index_or_0_if, __pyx_k_Maximum_positive_index_or_0_if,
sizeof(__pyx_k_Maximum_positive_index_or_0_if), 0, 1, 0, 0},
18811 {&__pyx_kp_u_Minimum_member_index_set_1_1_2, __pyx_k_Minimum_member_index_set_1_1_2,
sizeof(__pyx_k_Minimum_member_index_set_1_1_2), 0, 1, 0, 0},
18812 {&__pyx_kp_u_Minimum_negative_index_or_0_if, __pyx_k_Minimum_negative_index_or_0_if,
sizeof(__pyx_k_Minimum_negative_index_or_0_if), 0, 1, 0, 0},
18813 {&__pyx_kp_u_Natural_logarithm_of_multivecto, __pyx_k_Natural_logarithm_of_multivecto,
sizeof(__pyx_k_Natural_logarithm_of_multivecto), 0, 1, 0, 0},
18814 {&__pyx_kp_u_Norm_sum_of_squares_of_coordina, __pyx_k_Norm_sum_of_squares_of_coordina,
sizeof(__pyx_k_Norm_sum_of_squares_of_coordina), 0, 1, 0, 0},
18815 {&__pyx_n_s_NotImplemented, __pyx_k_NotImplemented,
sizeof(__pyx_k_NotImplemented), 0, 0, 1, 1},
18816 {&__pyx_kp_s_Not_applicable, __pyx_k_Not_applicable,
sizeof(__pyx_k_Not_applicable), 0, 0, 1, 0},
18817 {&__pyx_kp_u_Not_applicable_for_a_in_cliffor, __pyx_k_Not_applicable_for_a_in_cliffor,
sizeof(__pyx_k_Not_applicable_for_a_in_cliffor), 0, 1, 0, 0},
18818 {&__pyx_kp_u_Number_of_negative_indices_incl, __pyx_k_Number_of_negative_indices_incl,
sizeof(__pyx_k_Number_of_negative_indices_incl), 0, 1, 0, 0},
18819 {&__pyx_kp_u_Number_of_positive_indices_incl, __pyx_k_Number_of_positive_indices_incl,
sizeof(__pyx_k_Number_of_positive_indices_incl), 0, 1, 0, 0},
18820 {&__pyx_kp_u_Odd_part_of_multivector_sum_of, __pyx_k_Odd_part_of_multivector_sum_of,
sizeof(__pyx_k_Odd_part_of_multivector_sum_of), 0, 1, 0, 0},
18821 {&__pyx_kp_u_Odd_part_of_multivector_sum_of_2, __pyx_k_Odd_part_of_multivector_sum_of_2,
sizeof(__pyx_k_Odd_part_of_multivector_sum_of_2), 0, 1, 0, 0},
18822 {&__pyx_kp_u_Outer_product_power_of_multivec, __pyx_k_Outer_product_power_of_multivec,
sizeof(__pyx_k_Outer_product_power_of_multivec), 0, 1, 0, 0},
18823 {&__pyx_kp_u_Outer_product_power_x_clifford, __pyx_k_Outer_product_power_x_clifford,
sizeof(__pyx_k_Outer_product_power_x_clifford), 0, 1, 0, 0},
18824 {&__pyx_kp_u_Outer_product_print_clifford_1, __pyx_k_Outer_product_print_clifford_1,
sizeof(__pyx_k_Outer_product_print_clifford_1), 0, 1, 0, 0},
18825 {&__pyx_kp_u_Outer_product_x_clifford_1_x_cl, __pyx_k_Outer_product_x_clifford_1_x_cl,
sizeof(__pyx_k_Outer_product_x_clifford_1_x_cl), 0, 1, 0, 0},
18826 {&__pyx_kp_u_Power_self_to_the_m_x_clifford, __pyx_k_Power_self_to_the_m_x_clifford,
sizeof(__pyx_k_Power_self_to_the_m_x_clifford), 0, 1, 0, 0},
18827 {&__pyx_kp_u_Power_self_to_the_m_x_clifford_2, __pyx_k_Power_self_to_the_m_x_clifford_2,
sizeof(__pyx_k_Power_self_to_the_m_x_clifford_2), 0, 1, 0, 0},
18828 {&__pyx_kp_u_Pure_grade_vector_part_print_cl, __pyx_k_Pure_grade_vector_part_print_cl,
sizeof(__pyx_k_Pure_grade_vector_part_print_cl), 0, 1, 0, 0},
18829 {&__pyx_kp_u_Pure_part_print_clifford_1_1_1, __pyx_k_Pure_part_print_clifford_1_1_1,
sizeof(__pyx_k_Pure_part_print_clifford_1_1_1), 0, 1, 0, 0},
18830 {&__pyx_kp_u_Pure_part_print_pure_clifford_1, __pyx_k_Pure_part_print_pure_clifford_1,
sizeof(__pyx_k_Pure_part_print_pure_clifford_1), 0, 1, 0, 0},
18831 {&__pyx_kp_u_Put_self_into_a_larger_frame_co, __pyx_k_Put_self_into_a_larger_frame_co,
sizeof(__pyx_k_Put_self_into_a_larger_frame_co), 0, 1, 0, 0},
18832 {&__pyx_n_s_PyClical, __pyx_k_PyClical,
sizeof(__pyx_k_PyClical), 0, 0, 1, 1},
18833 {&__pyx_kp_s_PyClical_pyx, __pyx_k_PyClical_pyx,
sizeof(__pyx_k_PyClical_pyx), 0, 0, 1, 0},
18834 {&__pyx_kp_u_Quadratic_form_rev_x_x_0_print, __pyx_k_Quadratic_form_rev_x_x_0_print,
sizeof(__pyx_k_Quadratic_form_rev_x_x_0_print), 0, 1, 0, 0},
18835 {&__pyx_kp_u_Quadratic_form_rev_x_x_0_print_2, __pyx_k_Quadratic_form_rev_x_x_0_print_2,
sizeof(__pyx_k_Quadratic_form_rev_x_x_0_print_2), 0, 1, 0, 0},
18836 {&__pyx_kp_u_Random_multivector_within_a_fra, __pyx_k_Random_multivector_within_a_fra,
sizeof(__pyx_k_Random_multivector_within_a_fra), 0, 1, 0, 0},
18837 {&__pyx_n_s_Real, __pyx_k_Real,
sizeof(__pyx_k_Real), 0, 0, 1, 1},
18838 {&__pyx_kp_u_Real_part_synonym_for_scalar_pa, __pyx_k_Real_part_synonym_for_scalar_pa,
sizeof(__pyx_k_Real_part_synonym_for_scalar_pa), 0, 1, 0, 0},
18839 {&__pyx_kp_u_Remove_all_terms_of_self_with_r, __pyx_k_Remove_all_terms_of_self_with_r,
sizeof(__pyx_k_Remove_all_terms_of_self_with_r), 0, 1, 0, 0},
18840 {&__pyx_kp_u_Reversion_eg_1_2_2_1_print_reve, __pyx_k_Reversion_eg_1_2_2_1_print_reve,
sizeof(__pyx_k_Reversion_eg_1_2_2_1_print_reve), 0, 1, 0, 0},
18841 {&__pyx_kp_u_Reversion_eg_clifford_1_cliffor, __pyx_k_Reversion_eg_clifford_1_cliffor,
sizeof(__pyx_k_Reversion_eg_clifford_1_cliffor), 0, 1, 0, 0},
18842 {&__pyx_n_s_RuntimeError, __pyx_k_RuntimeError,
sizeof(__pyx_k_RuntimeError), 0, 0, 1, 1},
18843 {&__pyx_kp_u_Scalar_part_clifford_1_1_1_2_sc, __pyx_k_Scalar_part_clifford_1_1_1_2_sc,
sizeof(__pyx_k_Scalar_part_clifford_1_1_1_2_sc), 0, 1, 0, 0},
18844 {&__pyx_kp_u_Scalar_part_scalar_clifford_1_1, __pyx_k_Scalar_part_scalar_clifford_1_1,
sizeof(__pyx_k_Scalar_part_scalar_clifford_1_1), 0, 1, 0, 0},
18845 {&__pyx_n_s_Sequence, __pyx_k_Sequence,
sizeof(__pyx_k_Sequence), 0, 0, 1, 1},
18846 {&__pyx_kp_u_Set_complement_not_print_index, __pyx_k_Set_complement_not_print_index,
sizeof(__pyx_k_Set_complement_not_print_index), 0, 1, 0, 0},
18847 {&__pyx_kp_u_Set_intersection_and_print_inde, __pyx_k_Set_intersection_and_print_inde,
sizeof(__pyx_k_Set_intersection_and_print_inde), 0, 1, 0, 0},
18848 {&__pyx_kp_u_Set_intersection_and_x_index_se, __pyx_k_Set_intersection_and_x_index_se,
sizeof(__pyx_k_Set_intersection_and_x_index_se), 0, 1, 0, 0},
18849 {&__pyx_kp_u_Set_the_value_of_an_index_set_o, __pyx_k_Set_the_value_of_an_index_set_o,
sizeof(__pyx_k_Set_the_value_of_an_index_set_o), 0, 1, 0, 0},
18850 {&__pyx_kp_u_Set_union_or_print_index_set_1, __pyx_k_Set_union_or_print_index_set_1,
sizeof(__pyx_k_Set_union_or_print_index_set_1), 0, 1, 0, 0},
18851 {&__pyx_kp_u_Set_union_or_x_index_set_1_x_in, __pyx_k_Set_union_or_x_index_set_1_x_in,
sizeof(__pyx_k_Set_union_or_x_index_set_1_x_in), 0, 1, 0, 0},
18852 {&__pyx_kp_u_Sign_of_geometric_product_of_tw, __pyx_k_Sign_of_geometric_product_of_tw,
sizeof(__pyx_k_Sign_of_geometric_product_of_tw), 0, 1, 0, 0},
18853 {&__pyx_kp_u_Sign_of_geometric_square_of_a_C, __pyx_k_Sign_of_geometric_square_of_a_C,
sizeof(__pyx_k_Sign_of_geometric_square_of_a_C), 0, 1, 0, 0},
18854 {&__pyx_kp_u_Sine_of_multivector_with_option, __pyx_k_Sine_of_multivector_with_option,
sizeof(__pyx_k_Sine_of_multivector_with_option), 0, 1, 0, 0},
18855 {&__pyx_kp_u_Square_root_of_1_which_commutes, __pyx_k_Square_root_of_1_which_commutes,
sizeof(__pyx_k_Square_root_of_1_which_commutes), 0, 1, 0, 0},
18856 {&__pyx_kp_u_Square_root_of_multivector_with, __pyx_k_Square_root_of_multivector_with,
sizeof(__pyx_k_Square_root_of_multivector_with), 0, 1, 0, 0},
18857 {&__pyx_kp_u_Subalgebra_generated_by_all_gen, __pyx_k_Subalgebra_generated_by_all_gen,
sizeof(__pyx_k_Subalgebra_generated_by_all_gen), 0, 1, 0, 0},
18858 {&__pyx_kp_u_Subscripting_map_from_index_set, __pyx_k_Subscripting_map_from_index_set,
sizeof(__pyx_k_Subscripting_map_from_index_set), 0, 1, 0, 0},
18859 {&__pyx_kp_u_Symmetric_set_difference_exclus, __pyx_k_Symmetric_set_difference_exclus,
sizeof(__pyx_k_Symmetric_set_difference_exclus), 0, 1, 0, 0},
18860 {&__pyx_kp_u_Symmetric_set_difference_exclus_2, __pyx_k_Symmetric_set_difference_exclus_2,
sizeof(__pyx_k_Symmetric_set_difference_exclus_2), 0, 1, 0, 0},
18861 {&__pyx_kp_u_Tangent_of_multivector_with_opt, __pyx_k_Tangent_of_multivector_with_opt,
sizeof(__pyx_k_Tangent_of_multivector_with_opt), 0, 1, 0, 0},
18862 {&__pyx_kp_u_Tests_for_functions_that_Doctes, __pyx_k_Tests_for_functions_that_Doctes,
sizeof(__pyx_k_Tests_for_functions_that_Doctes), 0, 1, 0, 0},
18863 {&__pyx_kp_u_Tests_for_functions_that_Doctes_2, __pyx_k_Tests_for_functions_that_Doctes_2,
sizeof(__pyx_k_Tests_for_functions_that_Doctes_2), 0, 1, 0, 0},
18864 {&__pyx_kp_u_The_informal_string_representat, __pyx_k_The_informal_string_representat,
sizeof(__pyx_k_The_informal_string_representat), 0, 1, 0, 0},
18865 {&__pyx_kp_u_The_informal_string_representat_2, __pyx_k_The_informal_string_representat_2,
sizeof(__pyx_k_The_informal_string_representat_2), 0, 1, 0, 0},
18866 {&__pyx_kp_u_The_official_string_representat, __pyx_k_The_official_string_representat,
sizeof(__pyx_k_The_official_string_representat), 0, 1, 0, 0},
18867 {&__pyx_kp_u_The_official_string_representat_2, __pyx_k_The_official_string_representat_2,
sizeof(__pyx_k_The_official_string_representat_2), 0, 1, 0, 0},
18868 {&__pyx_kp_s_This_comparison_operator_is_not, __pyx_k_This_comparison_operator_is_not,
sizeof(__pyx_k_This_comparison_operator_is_not), 0, 0, 1, 0},
18869 {&__pyx_kp_u_Transform_left_hand_side_using, __pyx_k_Transform_left_hand_side_using,
sizeof(__pyx_k_Transform_left_hand_side_using), 0, 1, 0, 0},
18870 {&__pyx_kp_u_Transform_left_hand_side_using_2, __pyx_k_Transform_left_hand_side_using_2,
sizeof(__pyx_k_Transform_left_hand_side_using_2), 0, 1, 0, 0},
18871 {&__pyx_n_s_TypeError, __pyx_k_TypeError,
sizeof(__pyx_k_TypeError), 0, 0, 1, 1},
18872 {&__pyx_kp_u_Unary_print_clifford_1_1, __pyx_k_Unary_print_clifford_1_1,
sizeof(__pyx_k_Unary_print_clifford_1_1), 0, 1, 0, 0},
18873 {&__pyx_kp_u_Unary_print_clifford_1_1_2, __pyx_k_Unary_print_clifford_1_1_2,
sizeof(__pyx_k_Unary_print_clifford_1_1_2), 0, 1, 0, 0},
18874 {&__pyx_n_s_ValueError, __pyx_k_ValueError,
sizeof(__pyx_k_ValueError), 0, 0, 1, 1},
18875 {&__pyx_kp_u_Vector_part_of_multivector_as_a, __pyx_k_Vector_part_of_multivector_as_a,
sizeof(__pyx_k_Vector_part_of_multivector_as_a), 0, 1, 0, 0},
18876 {&__pyx_kp_s__2, __pyx_k__2,
sizeof(__pyx_k__2), 0, 0, 1, 0},
18877 {&__pyx_kp_s__5, __pyx_k__5,
sizeof(__pyx_k__5), 0, 0, 1, 0},
18878 {&__pyx_kp_s__6, __pyx_k__6,
sizeof(__pyx_k__6), 0, 0, 1, 0},
18879 {&__pyx_kp_s__7, __pyx_k__7,
sizeof(__pyx_k__7), 0, 0, 1, 0},
18880 {&__pyx_kp_s__8, __pyx_k__8,
sizeof(__pyx_k__8), 0, 0, 1, 0},
18881 {&__pyx_kp_s__9, __pyx_k__9,
sizeof(__pyx_k__9), 0, 0, 1, 0},
18882 {&__pyx_kp_u_abs_line_1473, __pyx_k_abs_line_1473,
sizeof(__pyx_k_abs_line_1473), 0, 1, 0, 0},
18883 {&__pyx_n_s_acos, __pyx_k_acos,
sizeof(__pyx_k_acos), 0, 0, 1, 1},
18884 {&__pyx_kp_u_acos_line_1619, __pyx_k_acos_line_1619,
sizeof(__pyx_k_acos_line_1619), 0, 1, 0, 0},
18885 {&__pyx_n_s_acosh, __pyx_k_acosh,
sizeof(__pyx_k_acosh), 0, 0, 1, 1},
18886 {&__pyx_kp_u_acosh_line_1656, __pyx_k_acosh_line_1656,
sizeof(__pyx_k_acosh_line_1656), 0, 1, 0, 0},
18887 {&__pyx_kp_u_agc3_line_1844, __pyx_k_agc3_line_1844,
sizeof(__pyx_k_agc3_line_1844), 0, 1, 0, 0},
18888 {&__pyx_n_s_args, __pyx_k_args,
sizeof(__pyx_k_args), 0, 0, 1, 1},
18889 {&__pyx_kp_s_as_frame, __pyx_k_as_frame,
sizeof(__pyx_k_as_frame), 0, 0, 1, 0},
18890 {&__pyx_n_s_asin, __pyx_k_asin,
sizeof(__pyx_k_asin), 0, 0, 1, 1},
18891 {&__pyx_kp_u_asin_line_1698, __pyx_k_asin_line_1698,
sizeof(__pyx_k_asin_line_1698), 0, 1, 0, 0},
18892 {&__pyx_n_s_asinh, __pyx_k_asinh,
sizeof(__pyx_k_asinh), 0, 0, 1, 1},
18893 {&__pyx_kp_u_asinh_line_1733, __pyx_k_asinh_line_1733,
sizeof(__pyx_k_asinh_line_1733), 0, 1, 0, 0},
18894 {&__pyx_n_s_atan, __pyx_k_atan,
sizeof(__pyx_k_atan), 0, 0, 1, 1},
18895 {&__pyx_kp_u_atan_line_1769, __pyx_k_atan_line_1769,
sizeof(__pyx_k_atan_line_1769), 0, 1, 0, 0},
18896 {&__pyx_n_s_atanh, __pyx_k_atanh,
sizeof(__pyx_k_atanh), 0, 0, 1, 1},
18897 {&__pyx_kp_u_atanh_line_1798, __pyx_k_atanh_line_1798,
sizeof(__pyx_k_atanh_line_1798), 0, 1, 0, 0},
18898 {&__pyx_kp_u_cga3_line_1824, __pyx_k_cga3_line_1824,
sizeof(__pyx_k_cga3_line_1824), 0, 1, 0, 0},
18899 {&__pyx_kp_u_cga3std_line_1833, __pyx_k_cga3std_line_1833,
sizeof(__pyx_k_cga3std_line_1833), 0, 1, 0, 0},
18900 {&__pyx_n_s_cl, __pyx_k_cl,
sizeof(__pyx_k_cl), 0, 0, 1, 1},
18901 {&__pyx_n_s_clifford, __pyx_k_clifford,
sizeof(__pyx_k_clifford), 0, 0, 1, 1},
18902 {&__pyx_kp_u_clifford___add___line_739, __pyx_k_clifford___add___line_739,
sizeof(__pyx_k_clifford___add___line_739), 0, 1, 0, 0},
18903 {&__pyx_kp_u_clifford___and___line_835, __pyx_k_clifford___and___line_835,
sizeof(__pyx_k_clifford___and___line_835), 0, 1, 0, 0},
18904 {&__pyx_kp_u_clifford___call___line_1019, __pyx_k_clifford___call___line_1019,
sizeof(__pyx_k_clifford___call___line_1019), 0, 1, 0, 0},
18905 {&__pyx_kp_u_clifford___div___line_895, __pyx_k_clifford___div___line_895,
sizeof(__pyx_k_clifford___div___line_895), 0, 1, 0, 0},
18906 {&__pyx_kp_u_clifford___getitem___line_706, __pyx_k_clifford___getitem___line_706,
sizeof(__pyx_k_clifford___getitem___line_706), 0, 1, 0, 0},
18907 {&__pyx_kp_u_clifford___iadd___line_750, __pyx_k_clifford___iadd___line_750,
sizeof(__pyx_k_clifford___iadd___line_750), 0, 1, 0, 0},
18908 {&__pyx_kp_u_clifford___iand___line_850, __pyx_k_clifford___iand___line_850,
sizeof(__pyx_k_clifford___iand___line_850), 0, 1, 0, 0},
18909 {&__pyx_kp_u_clifford___idiv___line_910, __pyx_k_clifford___idiv___line_910,
sizeof(__pyx_k_clifford___idiv___line_910), 0, 1, 0, 0},
18910 {&__pyx_kp_u_clifford___imod___line_820, __pyx_k_clifford___imod___line_820,
sizeof(__pyx_k_clifford___imod___line_820), 0, 1, 0, 0},
18911 {&__pyx_kp_u_clifford___imul___line_792, __pyx_k_clifford___imul___line_792,
sizeof(__pyx_k_clifford___imul___line_792), 0, 1, 0, 0},
18912 {&__pyx_kp_u_clifford___ior___line_949, __pyx_k_clifford___ior___line_949,
sizeof(__pyx_k_clifford___ior___line_949), 0, 1, 0, 0},
18913 {&__pyx_kp_u_clifford___isub___line_770, __pyx_k_clifford___isub___line_770,
sizeof(__pyx_k_clifford___isub___line_770), 0, 1, 0, 0},
18914 {&__pyx_kp_u_clifford___iter___line_637, __pyx_k_clifford___iter___line_637,
sizeof(__pyx_k_clifford___iter___line_637), 0, 1, 0, 0},
18915 {&__pyx_kp_u_clifford___ixor___line_880, __pyx_k_clifford___ixor___line_880,
sizeof(__pyx_k_clifford___ixor___line_880), 0, 1, 0, 0},
18916 {&__pyx_kp_u_clifford___mod___line_805, __pyx_k_clifford___mod___line_805,
sizeof(__pyx_k_clifford___mod___line_805), 0, 1, 0, 0},
18917 {&__pyx_kp_u_clifford___mul___line_779, __pyx_k_clifford___mul___line_779,
sizeof(__pyx_k_clifford___mul___line_779), 0, 1, 0, 0},
18918 {&__pyx_kp_u_clifford___neg___line_721, __pyx_k_clifford___neg___line_721,
sizeof(__pyx_k_clifford___neg___line_721), 0, 1, 0, 0},
18919 {&__pyx_kp_u_clifford___or___line_938, __pyx_k_clifford___or___line_938,
sizeof(__pyx_k_clifford___or___line_938), 0, 1, 0, 0},
18920 {&__pyx_kp_u_clifford___pos___line_730, __pyx_k_clifford___pos___line_730,
sizeof(__pyx_k_clifford___pos___line_730), 0, 1, 0, 0},
18921 {&__pyx_kp_u_clifford___pow___line_960, __pyx_k_clifford___pow___line_960,
sizeof(__pyx_k_clifford___pow___line_960), 0, 1, 0, 0},
18922 {&__pyx_kp_u_clifford___repr___line_1225, __pyx_k_clifford___repr___line_1225,
sizeof(__pyx_k_clifford___repr___line_1225), 0, 1, 0, 0},
18923 {&__pyx_kp_u_clifford___str___line_1234, __pyx_k_clifford___str___line_1234,
sizeof(__pyx_k_clifford___str___line_1234), 0, 1, 0, 0},
18924 {&__pyx_kp_u_clifford___sub___line_759, __pyx_k_clifford___sub___line_759,
sizeof(__pyx_k_clifford___sub___line_759), 0, 1, 0, 0},
18925 {&__pyx_kp_u_clifford___xor___line_865, __pyx_k_clifford___xor___line_865,
sizeof(__pyx_k_clifford___xor___line_865), 0, 1, 0, 0},
18926 {&__pyx_kp_u_clifford_abs_line_1174, __pyx_k_clifford_abs_line_1174,
sizeof(__pyx_k_clifford_abs_line_1174), 0, 1, 0, 0},
18927 {&__pyx_kp_u_clifford_conj_line_1137, __pyx_k_clifford_conj_line_1137,
sizeof(__pyx_k_clifford_conj_line_1137), 0, 1, 0, 0},
18928 {&__pyx_kp_u_clifford_copy_line_554, __pyx_k_clifford_copy_line_554,
sizeof(__pyx_k_clifford_copy_line_554), 0, 1, 0, 0},
18929 {&__pyx_kp_u_clifford_even_line_1060, __pyx_k_clifford_even_line_1060,
sizeof(__pyx_k_clifford_even_line_1060), 0, 1, 0, 0},
18930 {&__pyx_kp_u_clifford_frame_line_1214, __pyx_k_clifford_frame_line_1214,
sizeof(__pyx_k_clifford_frame_line_1214), 0, 1, 0, 0},
18931 {&__pyx_n_s_clifford_hidden_doctests, __pyx_k_clifford_hidden_doctests,
sizeof(__pyx_k_clifford_hidden_doctests), 0, 0, 1, 1},
18932 {&__pyx_kp_u_clifford_hidden_doctests_line_12, __pyx_k_clifford_hidden_doctests_line_12,
sizeof(__pyx_k_clifford_hidden_doctests_line_12), 0, 1, 0, 0},
18933 {&__pyx_kp_u_clifford_inv_line_925, __pyx_k_clifford_inv_line_925,
sizeof(__pyx_k_clifford_inv_line_925), 0, 1, 0, 0},
18934 {&__pyx_kp_u_clifford_involute_line_1106, __pyx_k_clifford_involute_line_1106,
sizeof(__pyx_k_clifford_involute_line_1106), 0, 1, 0, 0},
18935 {&__pyx_kp_u_clifford_isnan_line_1205, __pyx_k_clifford_isnan_line_1205,
sizeof(__pyx_k_clifford_isnan_line_1205), 0, 1, 0, 0},
18936 {&__pyx_kp_u_clifford_max_abs_line_1183, __pyx_k_clifford_max_abs_line_1183,
sizeof(__pyx_k_clifford_max_abs_line_1183), 0, 1, 0, 0},
18937 {&__pyx_kp_u_clifford_norm_line_1163, __pyx_k_clifford_norm_line_1163,
sizeof(__pyx_k_clifford_norm_line_1163), 0, 1, 0, 0},
18938 {&__pyx_kp_u_clifford_odd_line_1069, __pyx_k_clifford_odd_line_1069,
sizeof(__pyx_k_clifford_odd_line_1069), 0, 1, 0, 0},
18939 {&__pyx_kp_u_clifford_outer_pow_line_1003, __pyx_k_clifford_outer_pow_line_1003,
sizeof(__pyx_k_clifford_outer_pow_line_1003), 0, 1, 0, 0},
18940 {&__pyx_kp_u_clifford_pow_line_979, __pyx_k_clifford_pow_line_979,
sizeof(__pyx_k_clifford_pow_line_979), 0, 1, 0, 0},
18941 {&__pyx_kp_u_clifford_pure_line_1049, __pyx_k_clifford_pure_line_1049,
sizeof(__pyx_k_clifford_pure_line_1049), 0, 1, 0, 0},
18942 {&__pyx_kp_u_clifford_quad_line_1152, __pyx_k_clifford_quad_line_1152,
sizeof(__pyx_k_clifford_quad_line_1152), 0, 1, 0, 0},
18943 {&__pyx_kp_u_clifford_reframe_line_648, __pyx_k_clifford_reframe_line_648,
sizeof(__pyx_k_clifford_reframe_line_648), 0, 1, 0, 0},
18944 {&__pyx_kp_u_clifford_reverse_line_1122, __pyx_k_clifford_reverse_line_1122,
sizeof(__pyx_k_clifford_reverse_line_1122), 0, 1, 0, 0},
18945 {&__pyx_kp_u_clifford_scalar_line_1038, __pyx_k_clifford_scalar_line_1038,
sizeof(__pyx_k_clifford_scalar_line_1038), 0, 1, 0, 0},
18946 {&__pyx_kp_u_clifford_truncated_line_1194, __pyx_k_clifford_truncated_line_1194,
sizeof(__pyx_k_clifford_truncated_line_1194), 0, 1, 0, 0},
18947 {&__pyx_kp_u_clifford_vector_part_line_1078, __pyx_k_clifford_vector_part_line_1078,
sizeof(__pyx_k_clifford_vector_part_line_1078), 0, 1, 0, 0},
18948 {&__pyx_n_s_cline_in_traceback, __pyx_k_cline_in_traceback,
sizeof(__pyx_k_cline_in_traceback), 0, 0, 1, 1},
18949 {&__pyx_n_s_close, __pyx_k_close,
sizeof(__pyx_k_close), 0, 0, 1, 1},
18950 {&__pyx_n_s_collections, __pyx_k_collections,
sizeof(__pyx_k_collections), 0, 0, 1, 1},
18951 {&__pyx_kp_u_compare_line_490, __pyx_k_compare_line_490,
sizeof(__pyx_k_compare_line_490), 0, 1, 0, 0},
18952 {&__pyx_kp_u_complexifier_line_1527, __pyx_k_complexifier_line_1527,
sizeof(__pyx_k_complexifier_line_1527), 0, 1, 0, 0},
18953 {&__pyx_n_s_conj, __pyx_k_conj,
sizeof(__pyx_k_conj), 0, 0, 1, 1},
18954 {&__pyx_kp_u_conj_line_1436, __pyx_k_conj_line_1436,
sizeof(__pyx_k_conj_line_1436), 0, 1, 0, 0},
18955 {&__pyx_n_s_copy, __pyx_k_copy,
sizeof(__pyx_k_copy), 0, 0, 1, 1},
18956 {&__pyx_n_s_cos, __pyx_k_cos,
sizeof(__pyx_k_cos), 0, 0, 1, 1},
18957 {&__pyx_kp_u_cos_line_1602, __pyx_k_cos_line_1602,
sizeof(__pyx_k_cos_line_1602), 0, 1, 0, 0},
18958 {&__pyx_n_s_cosh, __pyx_k_cosh,
sizeof(__pyx_k_cosh), 0, 0, 1, 1},
18959 {&__pyx_kp_u_cosh_line_1640, __pyx_k_cosh_line_1640,
sizeof(__pyx_k_cosh_line_1640), 0, 1, 0, 0},
18960 {&__pyx_n_s_doctest, __pyx_k_doctest,
sizeof(__pyx_k_doctest), 0, 0, 1, 1},
18961 {&__pyx_n_s_e, __pyx_k_e,
sizeof(__pyx_k_e), 0, 0, 1, 1},
18962 {&__pyx_kp_u_e_line_1887, __pyx_k_e_line_1887,
sizeof(__pyx_k_e_line_1887), 0, 1, 0, 0},
18963 {&__pyx_n_s_even, __pyx_k_even,
sizeof(__pyx_k_even), 0, 0, 1, 1},
18964 {&__pyx_kp_u_even_line_1388, __pyx_k_even_line_1388,
sizeof(__pyx_k_even_line_1388), 0, 1, 0, 0},
18965 {&__pyx_n_s_exp, __pyx_k_exp,
sizeof(__pyx_k_exp), 0, 0, 1, 1},
18966 {&__pyx_kp_u_exp_line_1565, __pyx_k_exp_line_1565,
sizeof(__pyx_k_exp_line_1565), 0, 1, 0, 0},
18967 {&__pyx_n_s_fill, __pyx_k_fill,
sizeof(__pyx_k_fill), 0, 0, 1, 1},
18968 {&__pyx_n_s_frm, __pyx_k_frm,
sizeof(__pyx_k_frm), 0, 0, 1, 1},
18969 {&__pyx_kp_s_from, __pyx_k_from,
sizeof(__pyx_k_from), 0, 0, 1, 0},
18970 {&__pyx_n_s_getstate, __pyx_k_getstate,
sizeof(__pyx_k_getstate), 0, 0, 1, 1},
18971 {&__pyx_n_s_grade, __pyx_k_grade,
sizeof(__pyx_k_grade), 0, 0, 1, 1},
18972 {&__pyx_n_s_i, __pyx_k_i,
sizeof(__pyx_k_i), 0, 0, 1, 1},
18973 {&__pyx_kp_u_imag_line_1366, __pyx_k_imag_line_1366,
sizeof(__pyx_k_imag_line_1366), 0, 1, 0, 0},
18974 {&__pyx_n_s_import, __pyx_k_import,
sizeof(__pyx_k_import), 0, 0, 1, 1},
18975 {&__pyx_n_s_index_set, __pyx_k_index_set,
sizeof(__pyx_k_index_set), 0, 0, 1, 1},
18976 {&__pyx_kp_u_index_set___and___line_269, __pyx_k_index_set___and___line_269,
sizeof(__pyx_k_index_set___and___line_269), 0, 1, 0, 0},
18977 {&__pyx_kp_u_index_set___getitem___line_189, __pyx_k_index_set___getitem___line_189,
sizeof(__pyx_k_index_set___getitem___line_189), 0, 1, 0, 0},
18978 {&__pyx_kp_u_index_set___iand___line_280, __pyx_k_index_set___iand___line_280,
sizeof(__pyx_k_index_set___iand___line_280), 0, 1, 0, 0},
18979 {&__pyx_kp_u_index_set___invert___line_238, __pyx_k_index_set___invert___line_238,
sizeof(__pyx_k_index_set___invert___line_238), 0, 1, 0, 0},
18980 {&__pyx_kp_u_index_set___ior___line_302, __pyx_k_index_set___ior___line_302,
sizeof(__pyx_k_index_set___ior___line_302), 0, 1, 0, 0},
18981 {&__pyx_n_s_index_set___iter, __pyx_k_index_set___iter,
sizeof(__pyx_k_index_set___iter), 0, 0, 1, 1},
18982 {&__pyx_kp_u_index_set___iter___line_227, __pyx_k_index_set___iter___line_227,
sizeof(__pyx_k_index_set___iter___line_227), 0, 1, 0, 0},
18983 {&__pyx_kp_u_index_set___ixor___line_258, __pyx_k_index_set___ixor___line_258,
sizeof(__pyx_k_index_set___ixor___line_258), 0, 1, 0, 0},
18984 {&__pyx_kp_u_index_set___or___line_291, __pyx_k_index_set___or___line_291,
sizeof(__pyx_k_index_set___or___line_291), 0, 1, 0, 0},
18985 {&__pyx_kp_u_index_set___repr___line_382, __pyx_k_index_set___repr___line_382,
sizeof(__pyx_k_index_set___repr___line_382), 0, 1, 0, 0},
18986 {&__pyx_kp_u_index_set___setitem___line_177, __pyx_k_index_set___setitem___line_177,
sizeof(__pyx_k_index_set___setitem___line_177), 0, 1, 0, 0},
18987 {&__pyx_kp_u_index_set___str___line_393, __pyx_k_index_set___str___line_393,
sizeof(__pyx_k_index_set___str___line_393), 0, 1, 0, 0},
18988 {&__pyx_kp_u_index_set___xor___line_247, __pyx_k_index_set___xor___line_247,
sizeof(__pyx_k_index_set___xor___line_247), 0, 1, 0, 0},
18989 {&__pyx_kp_u_index_set_copy_line_64, __pyx_k_index_set_copy_line_64,
sizeof(__pyx_k_index_set_copy_line_64), 0, 1, 0, 0},
18990 {&__pyx_kp_u_index_set_count_line_313, __pyx_k_index_set_count_line_313,
sizeof(__pyx_k_index_set_count_line_313), 0, 1, 0, 0},
18991 {&__pyx_kp_u_index_set_count_neg_line_322, __pyx_k_index_set_count_neg_line_322,
sizeof(__pyx_k_index_set_count_neg_line_322), 0, 1, 0, 0},
18992 {&__pyx_kp_u_index_set_count_pos_line_331, __pyx_k_index_set_count_pos_line_331,
sizeof(__pyx_k_index_set_count_pos_line_331), 0, 1, 0, 0},
18993 {&__pyx_n_s_index_set_hidden_doctests, __pyx_k_index_set_hidden_doctests,
sizeof(__pyx_k_index_set_hidden_doctests), 0, 0, 1, 1},
18994 {&__pyx_kp_u_index_set_hidden_doctests_line_4, __pyx_k_index_set_hidden_doctests_line_4,
sizeof(__pyx_k_index_set_hidden_doctests_line_4), 0, 1, 0, 0},
18995 {&__pyx_kp_u_index_set_max_line_349, __pyx_k_index_set_max_line_349,
sizeof(__pyx_k_index_set_max_line_349), 0, 1, 0, 0},
18996 {&__pyx_kp_u_index_set_min_line_340, __pyx_k_index_set_min_line_340,
sizeof(__pyx_k_index_set_min_line_340), 0, 1, 0, 0},
18997 {&__pyx_kp_u_index_set_sign_of_mult_line_364, __pyx_k_index_set_sign_of_mult_line_364,
sizeof(__pyx_k_index_set_sign_of_mult_line_364), 0, 1, 0, 0},
18998 {&__pyx_kp_u_index_set_sign_of_square_line_37, __pyx_k_index_set_sign_of_square_line_37,
sizeof(__pyx_k_index_set_sign_of_square_line_37), 0, 1, 0, 0},
18999 {&__pyx_n_s_inv, __pyx_k_inv,
sizeof(__pyx_k_inv), 0, 0, 1, 1},
19000 {&__pyx_kp_u_inv_line_1329, __pyx_k_inv_line_1329,
sizeof(__pyx_k_inv_line_1329), 0, 1, 0, 0},
19001 {&__pyx_kp_s_invalid, __pyx_k_invalid,
sizeof(__pyx_k_invalid), 0, 0, 1, 0},
19002 {&__pyx_kp_s_invalid_string, __pyx_k_invalid_string,
sizeof(__pyx_k_invalid_string), 0, 0, 1, 0},
19003 {&__pyx_n_s_involute, __pyx_k_involute,
sizeof(__pyx_k_involute), 0, 0, 1, 1},
19004 {&__pyx_kp_u_involute_line_1406, __pyx_k_involute_line_1406,
sizeof(__pyx_k_involute_line_1406), 0, 1, 0, 0},
19005 {&__pyx_n_s_ist, __pyx_k_ist,
sizeof(__pyx_k_ist), 0, 0, 1, 1},
19006 {&__pyx_n_s_istpq, __pyx_k_istpq,
sizeof(__pyx_k_istpq), 0, 0, 1, 1},
19007 {&__pyx_kp_u_istpq_line_1900, __pyx_k_istpq_line_1900,
sizeof(__pyx_k_istpq_line_1900), 0, 1, 0, 0},
19008 {&__pyx_n_s_iter, __pyx_k_iter,
sizeof(__pyx_k_iter), 0, 0, 1, 1},
19009 {&__pyx_n_s_ixt, __pyx_k_ixt,
sizeof(__pyx_k_ixt), 0, 0, 1, 1},
19010 {&__pyx_kp_u_lexicographic_compare_eg_3_4_5, __pyx_k_lexicographic_compare_eg_3_4_5,
sizeof(__pyx_k_lexicographic_compare_eg_3_4_5), 0, 1, 0, 0},
19011 {&__pyx_n_s_lhs, __pyx_k_lhs,
sizeof(__pyx_k_lhs), 0, 0, 1, 1},
19012 {&__pyx_n_s_log, __pyx_k_log,
sizeof(__pyx_k_log), 0, 0, 1, 1},
19013 {&__pyx_kp_u_log_line_1579, __pyx_k_log_line_1579,
sizeof(__pyx_k_log_line_1579), 0, 1, 0, 0},
19014 {&__pyx_n_s_m, __pyx_k_m,
sizeof(__pyx_k_m), 0, 0, 1, 1},
19015 {&__pyx_n_s_main, __pyx_k_main,
sizeof(__pyx_k_main), 0, 0, 1, 1},
19016 {&__pyx_n_s_math, __pyx_k_math,
sizeof(__pyx_k_math), 0, 0, 1, 1},
19017 {&__pyx_n_s_max, __pyx_k_max,
sizeof(__pyx_k_max), 0, 0, 1, 1},
19018 {&__pyx_kp_u_max_abs_line_1482, __pyx_k_max_abs_line_1482,
sizeof(__pyx_k_max_abs_line_1482), 0, 1, 0, 0},
19019 {&__pyx_kp_u_max_pos_line_511, __pyx_k_max_pos_line_511,
sizeof(__pyx_k_max_pos_line_511), 0, 1, 0, 0},
19020 {&__pyx_n_s_min, __pyx_k_min,
sizeof(__pyx_k_min), 0, 0, 1, 1},
19021 {&__pyx_kp_u_min_neg_line_502, __pyx_k_min_neg_line_502,
sizeof(__pyx_k_min_neg_line_502), 0, 1, 0, 0},
19022 {&__pyx_n_s_name, __pyx_k_name,
sizeof(__pyx_k_name), 0, 0, 1, 1},
19023 {&__pyx_n_s_nbar3, __pyx_k_nbar3,
sizeof(__pyx_k_nbar3), 0, 0, 1, 1},
19024 {&__pyx_n_s_ninf3, __pyx_k_ninf3,
sizeof(__pyx_k_ninf3), 0, 0, 1, 1},
19025 {&__pyx_kp_s_no_default___reduce___due_to_non, __pyx_k_no_default___reduce___due_to_non,
sizeof(__pyx_k_no_default___reduce___due_to_non), 0, 0, 1, 0},
19026 {&__pyx_n_s_norm, __pyx_k_norm,
sizeof(__pyx_k_norm), 0, 0, 1, 1},
19027 {&__pyx_kp_u_norm_line_1462, __pyx_k_norm_line_1462,
sizeof(__pyx_k_norm_line_1462), 0, 1, 0, 0},
19028 {&__pyx_kp_u_norm_sum_of_squares_of_coordina, __pyx_k_norm_sum_of_squares_of_coordina,
sizeof(__pyx_k_norm_sum_of_squares_of_coordina), 0, 1, 0, 0},
19029 {&__pyx_n_s_numbers, __pyx_k_numbers,
sizeof(__pyx_k_numbers), 0, 0, 1, 1},
19030 {&__pyx_n_s_obj, __pyx_k_obj,
sizeof(__pyx_k_obj), 0, 0, 1, 1},
19031 {&__pyx_n_s_odd, __pyx_k_odd,
sizeof(__pyx_k_odd), 0, 0, 1, 1},
19032 {&__pyx_kp_u_odd_line_1397, __pyx_k_odd_line_1397,
sizeof(__pyx_k_odd_line_1397), 0, 1, 0, 0},
19033 {&__pyx_n_s_other, __pyx_k_other,
sizeof(__pyx_k_other), 0, 0, 1, 1},
19034 {&__pyx_n_s_outer_pow, __pyx_k_outer_pow,
sizeof(__pyx_k_outer_pow), 0, 0, 1, 1},
19035 {&__pyx_kp_u_outer_pow_line_1518, __pyx_k_outer_pow_line_1518,
sizeof(__pyx_k_outer_pow_line_1518), 0, 1, 0, 0},
19036 {&__pyx_n_s_p, __pyx_k_p,
sizeof(__pyx_k_p), 0, 0, 1, 1},
19037 {&__pyx_n_s_pi, __pyx_k_pi,
sizeof(__pyx_k_pi), 0, 0, 1, 1},
19038 {&__pyx_n_s_pow, __pyx_k_pow,
sizeof(__pyx_k_pow), 0, 0, 1, 1},
19039 {&__pyx_kp_u_pow_line_1494, __pyx_k_pow_line_1494,
sizeof(__pyx_k_pow_line_1494), 0, 1, 0, 0},
19040 {&__pyx_n_s_pure, __pyx_k_pure,
sizeof(__pyx_k_pure), 0, 0, 1, 1},
19041 {&__pyx_kp_u_pure_line_1377, __pyx_k_pure_line_1377,
sizeof(__pyx_k_pure_line_1377), 0, 1, 0, 0},
19042 {&__pyx_n_s_pyx_vtable, __pyx_k_pyx_vtable,
sizeof(__pyx_k_pyx_vtable), 0, 0, 1, 1},
19043 {&__pyx_n_s_q, __pyx_k_q,
sizeof(__pyx_k_q), 0, 0, 1, 1},
19044 {&__pyx_n_s_quad, __pyx_k_quad,
sizeof(__pyx_k_quad), 0, 0, 1, 1},
19045 {&__pyx_kp_u_quad_line_1451, __pyx_k_quad_line_1451,
sizeof(__pyx_k_quad_line_1451), 0, 1, 0, 0},
19046 {&__pyx_kp_u_random_clifford_line_1815, __pyx_k_random_clifford_line_1815,
sizeof(__pyx_k_random_clifford_line_1815), 0, 1, 0, 0},
19047 {&__pyx_n_s_range, __pyx_k_range,
sizeof(__pyx_k_range), 0, 0, 1, 1},
19048 {&__pyx_kp_u_real_line_1355, __pyx_k_real_line_1355,
sizeof(__pyx_k_real_line_1355), 0, 1, 0, 0},
19049 {&__pyx_n_s_reduce, __pyx_k_reduce,
sizeof(__pyx_k_reduce), 0, 0, 1, 1},
19050 {&__pyx_n_s_reduce_cython, __pyx_k_reduce_cython,
sizeof(__pyx_k_reduce_cython), 0, 0, 1, 1},
19051 {&__pyx_n_s_reduce_ex, __pyx_k_reduce_ex,
sizeof(__pyx_k_reduce_ex), 0, 0, 1, 1},
19052 {&__pyx_n_s_reverse, __pyx_k_reverse,
sizeof(__pyx_k_reverse), 0, 0, 1, 1},
19053 {&__pyx_kp_u_reverse_line_1421, __pyx_k_reverse_line_1421,
sizeof(__pyx_k_reverse_line_1421), 0, 1, 0, 0},
19054 {&__pyx_n_s_rhs, __pyx_k_rhs,
sizeof(__pyx_k_rhs), 0, 0, 1, 1},
19055 {&__pyx_n_s_scalar, __pyx_k_scalar,
sizeof(__pyx_k_scalar), 0, 0, 1, 1},
19056 {&__pyx_kp_u_scalar_line_1344, __pyx_k_scalar_line_1344,
sizeof(__pyx_k_scalar_line_1344), 0, 1, 0, 0},
19057 {&__pyx_n_s_send, __pyx_k_send,
sizeof(__pyx_k_send), 0, 0, 1, 1},
19058 {&__pyx_n_s_setstate, __pyx_k_setstate,
sizeof(__pyx_k_setstate), 0, 0, 1, 1},
19059 {&__pyx_n_s_setstate_cython, __pyx_k_setstate_cython,
sizeof(__pyx_k_setstate_cython), 0, 0, 1, 1},
19060 {&__pyx_n_s_sin, __pyx_k_sin,
sizeof(__pyx_k_sin), 0, 0, 1, 1},
19061 {&__pyx_kp_u_sin_line_1679, __pyx_k_sin_line_1679,
sizeof(__pyx_k_sin_line_1679), 0, 1, 0, 0},
19062 {&__pyx_n_s_sinh, __pyx_k_sinh,
sizeof(__pyx_k_sinh), 0, 0, 1, 1},
19063 {&__pyx_kp_u_sinh_line_1719, __pyx_k_sinh_line_1719,
sizeof(__pyx_k_sinh_line_1719), 0, 1, 0, 0},
19064 {&__pyx_n_s_sqrt, __pyx_k_sqrt,
sizeof(__pyx_k_sqrt), 0, 0, 1, 1},
19065 {&__pyx_kp_u_sqrt_line_1542, __pyx_k_sqrt_line_1542,
sizeof(__pyx_k_sqrt_line_1542), 0, 1, 0, 0},
19066 {&__pyx_n_s_tan, __pyx_k_tan,
sizeof(__pyx_k_tan), 0, 0, 1, 1},
19067 {&__pyx_kp_u_tan_line_1752, __pyx_k_tan_line_1752,
sizeof(__pyx_k_tan_line_1752), 0, 1, 0, 0},
19068 {&__pyx_n_s_tanh, __pyx_k_tanh,
sizeof(__pyx_k_tanh), 0, 0, 1, 1},
19069 {&__pyx_kp_u_tanh_line_1786, __pyx_k_tanh_line_1786,
sizeof(__pyx_k_tanh_line_1786), 0, 1, 0, 0},
19070 {&__pyx_n_s_tau, __pyx_k_tau,
sizeof(__pyx_k_tau), 0, 0, 1, 1},
19071 {&__pyx_n_s_test, __pyx_k_test,
sizeof(__pyx_k_test), 0, 0, 1, 1},
19072 {&__pyx_n_s_test_2, __pyx_k_test_2,
sizeof(__pyx_k_test_2), 0, 0, 1, 1},
19073 {&__pyx_n_s_testmod, __pyx_k_testmod,
sizeof(__pyx_k_testmod), 0, 0, 1, 1},
19074 {&__pyx_n_s_throw, __pyx_k_throw,
sizeof(__pyx_k_throw), 0, 0, 1, 1},
19075 {&__pyx_kp_s_to_frame, __pyx_k_to_frame,
sizeof(__pyx_k_to_frame), 0, 0, 1, 0},
19076 {&__pyx_kp_s_using, __pyx_k_using,
sizeof(__pyx_k_using), 0, 0, 1, 0},
19077 {&__pyx_kp_s_using_invalid, __pyx_k_using_invalid,
sizeof(__pyx_k_using_invalid), 0, 0, 1, 0},
19078 {&__pyx_kp_s_value, __pyx_k_value,
sizeof(__pyx_k_value), 0, 0, 1, 0},
19079 {&__pyx_n_s_version, __pyx_k_version,
sizeof(__pyx_k_version), 0, 0, 1, 1},
19080 {&__pyx_n_s_xrange, __pyx_k_xrange,
sizeof(__pyx_k_xrange), 0, 0, 1, 1},
19081 {0, 0, 0, 0, 0, 0, 0}
19083 static CYTHON_SMALL_CODE
int __Pyx_InitCachedBuiltins(
void) {
19084 __pyx_builtin_IndexError = __Pyx_GetBuiltinName(__pyx_n_s_IndexError);
if (!__pyx_builtin_IndexError) __PYX_ERR(0, 102, __pyx_L1_error)
19085 __pyx_builtin_RuntimeError = __Pyx_GetBuiltinName(__pyx_n_s_RuntimeError);
if (!__pyx_builtin_RuntimeError) __PYX_ERR(0, 104, __pyx_L1_error)
19086 __pyx_builtin_TypeError = __Pyx_GetBuiltinName(__pyx_n_s_TypeError);
if (!__pyx_builtin_TypeError) __PYX_ERR(0, 104, __pyx_L1_error)
19087 __pyx_builtin_ValueError = __Pyx_GetBuiltinName(__pyx_n_s_ValueError);
if (!__pyx_builtin_ValueError) __PYX_ERR(0, 105, __pyx_L1_error)
19088 __pyx_builtin_NotImplemented = __Pyx_GetBuiltinName(__pyx_n_s_NotImplemented);
if (!__pyx_builtin_NotImplemented) __PYX_ERR(0, 157, __pyx_L1_error)
19089 __pyx_builtin_range = __Pyx_GetBuiltinName(__pyx_n_s_range);
if (!__pyx_builtin_range) __PYX_ERR(0, 234, __pyx_L1_error)
19090 #if PY_MAJOR_VERSION >= 3 19091 __pyx_builtin_xrange = __Pyx_GetBuiltinName(__pyx_n_s_range);
if (!__pyx_builtin_xrange) __PYX_ERR(0, 1098, __pyx_L1_error)
19093 __pyx_builtin_xrange = __Pyx_GetBuiltinName(__pyx_n_s_xrange);
if (!__pyx_builtin_xrange) __PYX_ERR(0, 1098, __pyx_L1_error)
19100 static CYTHON_SMALL_CODE
int __Pyx_InitCachedConstants(
void) {
19101 __Pyx_RefNannyDeclarations
19102 __Pyx_RefNannySetupContext(
"__Pyx_InitCachedConstants", 0);
19110 __pyx_tuple__3 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non);
if (unlikely(!__pyx_tuple__3)) __PYX_ERR(1, 2, __pyx_L1_error)
19111 __Pyx_GOTREF(__pyx_tuple__3);
19112 __Pyx_GIVEREF(__pyx_tuple__3);
19119 __pyx_tuple__4 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non);
if (unlikely(!__pyx_tuple__4)) __PYX_ERR(1, 4, __pyx_L1_error)
19120 __Pyx_GOTREF(__pyx_tuple__4);
19121 __Pyx_GIVEREF(__pyx_tuple__4);
19130 __pyx_tuple__10 = PyTuple_Pack(1, __pyx_kp_s_Not_applicable);
if (unlikely(!__pyx_tuple__10)) __PYX_ERR(0, 635, __pyx_L1_error)
19131 __Pyx_GOTREF(__pyx_tuple__10);
19132 __Pyx_GIVEREF(__pyx_tuple__10);
19140 __pyx_tuple__11 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non);
if (unlikely(!__pyx_tuple__11)) __PYX_ERR(1, 2, __pyx_L1_error)
19141 __Pyx_GOTREF(__pyx_tuple__11);
19142 __Pyx_GIVEREF(__pyx_tuple__11);
19149 __pyx_tuple__12 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non);
if (unlikely(!__pyx_tuple__12)) __PYX_ERR(1, 4, __pyx_L1_error)
19150 __Pyx_GOTREF(__pyx_tuple__12);
19151 __Pyx_GIVEREF(__pyx_tuple__12);
19160 __pyx_codeobj__13 = (PyObject*)__Pyx_PyCode_New(0, 0, 0, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_index_set_hidden_doctests, 404, __pyx_empty_bytes);
if (unlikely(!__pyx_codeobj__13)) __PYX_ERR(0, 404, __pyx_L1_error)
19169 __pyx_codeobj__14 = (PyObject*)__Pyx_PyCode_New(0, 0, 0, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_clifford_hidden_doctests, 1243, __pyx_empty_bytes);
if (unlikely(!__pyx_codeobj__14)) __PYX_ERR(0, 1243, __pyx_L1_error)
19178 __pyx_tuple__15 = PyTuple_Pack(1, __pyx_float_1_0);
if (unlikely(!__pyx_tuple__15)) __PYX_ERR(0, 1856, __pyx_L1_error)
19179 __Pyx_GOTREF(__pyx_tuple__15);
19180 __Pyx_GIVEREF(__pyx_tuple__15);
19189 __pyx_tuple__16 = PyTuple_Pack(1, __pyx_n_s_obj);
if (unlikely(!__pyx_tuple__16)) __PYX_ERR(0, 1887, __pyx_L1_error)
19190 __Pyx_GOTREF(__pyx_tuple__16);
19191 __Pyx_GIVEREF(__pyx_tuple__16);
19192 __pyx_codeobj__17 = (PyObject*)__Pyx_PyCode_New(1, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__16, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_e, 1887, __pyx_empty_bytes);
if (unlikely(!__pyx_codeobj__17)) __PYX_ERR(0, 1887, __pyx_L1_error)
19201 __pyx_tuple__18 = PyTuple_Pack(2, __pyx_n_s_p, __pyx_n_s_q);
if (unlikely(!__pyx_tuple__18)) __PYX_ERR(0, 1900, __pyx_L1_error)
19202 __Pyx_GOTREF(__pyx_tuple__18);
19203 __Pyx_GIVEREF(__pyx_tuple__18);
19204 __pyx_codeobj__19 = (PyObject*)__Pyx_PyCode_New(2, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__18, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_istpq, 1900, __pyx_empty_bytes);
if (unlikely(!__pyx_codeobj__19)) __PYX_ERR(0, 1900, __pyx_L1_error)
19213 __pyx_tuple__20 = PyTuple_Pack(1, __pyx_int_4);
if (unlikely(!__pyx_tuple__20)) __PYX_ERR(0, 1909, __pyx_L1_error)
19214 __Pyx_GOTREF(__pyx_tuple__20);
19215 __Pyx_GIVEREF(__pyx_tuple__20);
19216 __pyx_tuple__21 = PyTuple_Pack(1, __pyx_int_neg_1);
if (unlikely(!__pyx_tuple__21)) __PYX_ERR(0, 1909, __pyx_L1_error)
19217 __Pyx_GOTREF(__pyx_tuple__21);
19218 __Pyx_GIVEREF(__pyx_tuple__21);
19227 __pyx_tuple__22 = PyTuple_Pack(2, __pyx_n_s_PyClical, __pyx_n_s_doctest);
if (unlikely(!__pyx_tuple__22)) __PYX_ERR(0, 1913, __pyx_L1_error)
19228 __Pyx_GOTREF(__pyx_tuple__22);
19229 __Pyx_GIVEREF(__pyx_tuple__22);
19230 __pyx_codeobj__23 = (PyObject*)__Pyx_PyCode_New(0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__22, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_test, 1913, __pyx_empty_bytes);
if (unlikely(!__pyx_codeobj__23)) __PYX_ERR(0, 1913, __pyx_L1_error)
19231 __Pyx_RefNannyFinishContext();
19234 __Pyx_RefNannyFinishContext();
19238 static CYTHON_SMALL_CODE
int __Pyx_InitGlobals(
void) {
19239 if (__Pyx_InitStrings(__pyx_string_tab) < 0) __PYX_ERR(0, 1, __pyx_L1_error);
19240 __pyx_float_0_0 =
PyFloat_FromDouble(0.0);
if (unlikely(!__pyx_float_0_0)) __PYX_ERR(0, 1, __pyx_L1_error)
19241 __pyx_float_1_0 =
PyFloat_FromDouble(1.0);
if (unlikely(!__pyx_float_1_0)) __PYX_ERR(0, 1, __pyx_L1_error)
19242 __pyx_float_2_0 =
PyFloat_FromDouble(2.0);
if (unlikely(!__pyx_float_2_0)) __PYX_ERR(0, 1, __pyx_L1_error)
19243 __pyx_float_8_0 =
PyFloat_FromDouble(8.0);
if (unlikely(!__pyx_float_8_0)) __PYX_ERR(0, 1, __pyx_L1_error)
19244 __pyx_int_0 = PyInt_FromLong(0);
if (unlikely(!__pyx_int_0)) __PYX_ERR(0, 1, __pyx_L1_error)
19245 __pyx_int_1 = PyInt_FromLong(1);
if (unlikely(!__pyx_int_1)) __PYX_ERR(0, 1, __pyx_L1_error)
19246 __pyx_int_4 = PyInt_FromLong(4);
if (unlikely(!__pyx_int_4)) __PYX_ERR(0, 1, __pyx_L1_error)
19247 __pyx_int_neg_1 = PyInt_FromLong(-1);
if (unlikely(!__pyx_int_neg_1)) __PYX_ERR(0, 1, __pyx_L1_error)
19253 static CYTHON_SMALL_CODE
int __Pyx_modinit_global_init_code(
void);
19254 static CYTHON_SMALL_CODE
int __Pyx_modinit_variable_export_code(
void);
19255 static CYTHON_SMALL_CODE
int __Pyx_modinit_function_export_code(
void);
19256 static CYTHON_SMALL_CODE
int __Pyx_modinit_type_init_code(
void);
19257 static CYTHON_SMALL_CODE
int __Pyx_modinit_type_import_code(
void);
19258 static CYTHON_SMALL_CODE
int __Pyx_modinit_variable_import_code(
void);
19259 static CYTHON_SMALL_CODE
int __Pyx_modinit_function_import_code(
void);
19261 static int __Pyx_modinit_global_init_code(
void) {
19262 __Pyx_RefNannyDeclarations
19263 __Pyx_RefNannySetupContext(
"__Pyx_modinit_global_init_code", 0);
19265 __Pyx_RefNannyFinishContext();
19269 static int __Pyx_modinit_variable_export_code(
void) {
19270 __Pyx_RefNannyDeclarations
19271 __Pyx_RefNannySetupContext(
"__Pyx_modinit_variable_export_code", 0);
19273 __Pyx_RefNannyFinishContext();
19277 static int __Pyx_modinit_function_export_code(
void) {
19278 __Pyx_RefNannyDeclarations
19279 __Pyx_RefNannySetupContext(
"__Pyx_modinit_function_export_code", 0);
19281 __Pyx_RefNannyFinishContext();
19285 static int __Pyx_modinit_type_init_code(
void) {
19286 __Pyx_RefNannyDeclarations
19287 __Pyx_RefNannySetupContext(
"__Pyx_modinit_type_init_code", 0);
19289 __pyx_vtabptr_8PyClical_index_set = &__pyx_vtable_8PyClical_index_set;
19290 __pyx_vtable_8PyClical_index_set.wrap = (PyObject *(*)(
struct __pyx_obj_8PyClical_index_set *,
IndexSet))__pyx_f_8PyClical_9index_set_wrap;
19291 __pyx_vtable_8PyClical_index_set.unwrap = (
IndexSet (*)(
struct __pyx_obj_8PyClical_index_set *))__pyx_f_8PyClical_9index_set_unwrap;
19292 __pyx_vtable_8PyClical_index_set.copy = (PyObject *(*)(
struct __pyx_obj_8PyClical_index_set *,
int __pyx_skip_dispatch))__pyx_f_8PyClical_9index_set_copy;
19293 if (PyType_Ready(&__pyx_type_8PyClical_index_set) < 0) __PYX_ERR(0, 45, __pyx_L1_error)
19294 #if PY_VERSION_HEX < 0x030800B1 19295 __pyx_type_8PyClical_index_set.tp_print = 0;
19297 if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_8PyClical_index_set.tp_dictoffset && __pyx_type_8PyClical_index_set.tp_getattro == PyObject_GenericGetAttr)) {
19298 __pyx_type_8PyClical_index_set.tp_getattro = __Pyx_PyObject_GenericGetAttr;
19300 #if CYTHON_COMPILING_IN_CPYTHON 19302 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__setitem__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19303 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19304 __pyx_wrapperbase_8PyClical_9index_set_8__setitem__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19305 __pyx_wrapperbase_8PyClical_9index_set_8__setitem__.doc = __pyx_doc_8PyClical_9index_set_8__setitem__;
19306 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_8__setitem__;
19310 #if CYTHON_COMPILING_IN_CPYTHON 19312 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__getitem__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19313 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19314 __pyx_wrapperbase_8PyClical_9index_set_10__getitem__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19315 __pyx_wrapperbase_8PyClical_9index_set_10__getitem__.doc = __pyx_doc_8PyClical_9index_set_10__getitem__;
19316 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_10__getitem__;
19320 #if CYTHON_COMPILING_IN_CPYTHON 19322 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__contains__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19323 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19324 __pyx_wrapperbase_8PyClical_9index_set_12__contains__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19325 __pyx_wrapperbase_8PyClical_9index_set_12__contains__.doc = __pyx_doc_8PyClical_9index_set_12__contains__;
19326 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_12__contains__;
19330 #if CYTHON_COMPILING_IN_CPYTHON 19332 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__iter__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19333 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19334 __pyx_wrapperbase_8PyClical_9index_set_14__iter__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19335 __pyx_wrapperbase_8PyClical_9index_set_14__iter__.doc = __pyx_doc_8PyClical_9index_set_14__iter__;
19336 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_14__iter__;
19340 #if CYTHON_COMPILING_IN_CPYTHON 19342 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__invert__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19343 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19344 __pyx_wrapperbase_8PyClical_9index_set_17__invert__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19345 __pyx_wrapperbase_8PyClical_9index_set_17__invert__.doc = __pyx_doc_8PyClical_9index_set_17__invert__;
19346 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_17__invert__;
19350 #if CYTHON_COMPILING_IN_CPYTHON 19352 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__xor__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19353 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19354 __pyx_wrapperbase_8PyClical_9index_set_19__xor__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19355 __pyx_wrapperbase_8PyClical_9index_set_19__xor__.doc = __pyx_doc_8PyClical_9index_set_19__xor__;
19356 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_19__xor__;
19360 #if CYTHON_COMPILING_IN_CPYTHON 19362 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__ixor__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19363 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19364 __pyx_wrapperbase_8PyClical_9index_set_21__ixor__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19365 __pyx_wrapperbase_8PyClical_9index_set_21__ixor__.doc = __pyx_doc_8PyClical_9index_set_21__ixor__;
19366 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_21__ixor__;
19370 #if CYTHON_COMPILING_IN_CPYTHON 19372 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__and__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19373 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19374 __pyx_wrapperbase_8PyClical_9index_set_23__and__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19375 __pyx_wrapperbase_8PyClical_9index_set_23__and__.doc = __pyx_doc_8PyClical_9index_set_23__and__;
19376 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_23__and__;
19380 #if CYTHON_COMPILING_IN_CPYTHON 19382 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__iand__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19383 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19384 __pyx_wrapperbase_8PyClical_9index_set_25__iand__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19385 __pyx_wrapperbase_8PyClical_9index_set_25__iand__.doc = __pyx_doc_8PyClical_9index_set_25__iand__;
19386 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_25__iand__;
19390 #if CYTHON_COMPILING_IN_CPYTHON 19392 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__or__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19393 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19394 __pyx_wrapperbase_8PyClical_9index_set_27__or__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19395 __pyx_wrapperbase_8PyClical_9index_set_27__or__.doc = __pyx_doc_8PyClical_9index_set_27__or__;
19396 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_27__or__;
19400 #if CYTHON_COMPILING_IN_CPYTHON 19402 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__ior__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19403 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19404 __pyx_wrapperbase_8PyClical_9index_set_29__ior__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19405 __pyx_wrapperbase_8PyClical_9index_set_29__ior__.doc = __pyx_doc_8PyClical_9index_set_29__ior__;
19406 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_29__ior__;
19410 #if CYTHON_COMPILING_IN_CPYTHON 19412 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__repr__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19413 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19414 __pyx_wrapperbase_8PyClical_9index_set_47__repr__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19415 __pyx_wrapperbase_8PyClical_9index_set_47__repr__.doc = __pyx_doc_8PyClical_9index_set_47__repr__;
19416 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_47__repr__;
19420 #if CYTHON_COMPILING_IN_CPYTHON 19422 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__str__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19423 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19424 __pyx_wrapperbase_8PyClical_9index_set_49__str__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19425 __pyx_wrapperbase_8PyClical_9index_set_49__str__.doc = __pyx_doc_8PyClical_9index_set_49__str__;
19426 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_49__str__;
19430 if (__Pyx_SetVtable(__pyx_type_8PyClical_index_set.tp_dict, __pyx_vtabptr_8PyClical_index_set) < 0) __PYX_ERR(0, 45, __pyx_L1_error)
19431 if (PyObject_SetAttr(__pyx_m, __pyx_n_s_index_set, (PyObject *)&__pyx_type_8PyClical_index_set) < 0) __PYX_ERR(0, 45, __pyx_L1_error)
19432 if (__Pyx_setup_reduce((PyObject*)&__pyx_type_8PyClical_index_set) < 0) __PYX_ERR(0, 45, __pyx_L1_error)
19433 __pyx_ptype_8PyClical_index_set = &__pyx_type_8PyClical_index_set;
19434 __pyx_vtabptr_8PyClical_clifford = &__pyx_vtable_8PyClical_clifford;
19435 __pyx_vtable_8PyClical_clifford.wrap = (PyObject *(*)(
struct __pyx_obj_8PyClical_clifford *,
Clifford))__pyx_f_8PyClical_8clifford_wrap;
19436 __pyx_vtable_8PyClical_clifford.unwrap = (
Clifford (*)(
struct __pyx_obj_8PyClical_clifford *))__pyx_f_8PyClical_8clifford_unwrap;
19437 __pyx_vtable_8PyClical_clifford.copy = (PyObject *(*)(
struct __pyx_obj_8PyClical_clifford *,
int __pyx_skip_dispatch))__pyx_f_8PyClical_8clifford_copy;
19438 if (PyType_Ready(&__pyx_type_8PyClical_clifford) < 0) __PYX_ERR(0, 535, __pyx_L1_error)
19439 #if PY_VERSION_HEX < 0x030800B1 19440 __pyx_type_8PyClical_clifford.tp_print = 0;
19442 if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_8PyClical_clifford.tp_dictoffset && __pyx_type_8PyClical_clifford.tp_getattro == PyObject_GenericGetAttr)) {
19443 __pyx_type_8PyClical_clifford.tp_getattro = __Pyx_PyObject_GenericGetAttr;
19445 #if CYTHON_COMPILING_IN_CPYTHON 19447 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__contains__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19448 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19449 __pyx_wrapperbase_8PyClical_8clifford_6__contains__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19450 __pyx_wrapperbase_8PyClical_8clifford_6__contains__.doc = __pyx_doc_8PyClical_8clifford_6__contains__;
19451 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_6__contains__;
19455 #if CYTHON_COMPILING_IN_CPYTHON 19457 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__iter__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19458 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19459 __pyx_wrapperbase_8PyClical_8clifford_8__iter__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19460 __pyx_wrapperbase_8PyClical_8clifford_8__iter__.doc = __pyx_doc_8PyClical_8clifford_8__iter__;
19461 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_8__iter__;
19465 #if CYTHON_COMPILING_IN_CPYTHON 19467 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__getitem__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19468 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19469 __pyx_wrapperbase_8PyClical_8clifford_14__getitem__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19470 __pyx_wrapperbase_8PyClical_8clifford_14__getitem__.doc = __pyx_doc_8PyClical_8clifford_14__getitem__;
19471 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_14__getitem__;
19475 #if CYTHON_COMPILING_IN_CPYTHON 19477 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__neg__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19478 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19479 __pyx_wrapperbase_8PyClical_8clifford_16__neg__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19480 __pyx_wrapperbase_8PyClical_8clifford_16__neg__.doc = __pyx_doc_8PyClical_8clifford_16__neg__;
19481 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_16__neg__;
19485 #if CYTHON_COMPILING_IN_CPYTHON 19487 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__pos__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19488 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19489 __pyx_wrapperbase_8PyClical_8clifford_18__pos__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19490 __pyx_wrapperbase_8PyClical_8clifford_18__pos__.doc = __pyx_doc_8PyClical_8clifford_18__pos__;
19491 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_18__pos__;
19495 #if CYTHON_COMPILING_IN_CPYTHON 19497 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__add__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19498 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19499 __pyx_wrapperbase_8PyClical_8clifford_20__add__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19500 __pyx_wrapperbase_8PyClical_8clifford_20__add__.doc = __pyx_doc_8PyClical_8clifford_20__add__;
19501 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_20__add__;
19505 #if CYTHON_COMPILING_IN_CPYTHON 19507 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__iadd__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19508 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19509 __pyx_wrapperbase_8PyClical_8clifford_22__iadd__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19510 __pyx_wrapperbase_8PyClical_8clifford_22__iadd__.doc = __pyx_doc_8PyClical_8clifford_22__iadd__;
19511 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_22__iadd__;
19515 #if CYTHON_COMPILING_IN_CPYTHON 19517 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__sub__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19518 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19519 __pyx_wrapperbase_8PyClical_8clifford_24__sub__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19520 __pyx_wrapperbase_8PyClical_8clifford_24__sub__.doc = __pyx_doc_8PyClical_8clifford_24__sub__;
19521 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_24__sub__;
19525 #if CYTHON_COMPILING_IN_CPYTHON 19527 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__isub__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19528 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19529 __pyx_wrapperbase_8PyClical_8clifford_26__isub__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19530 __pyx_wrapperbase_8PyClical_8clifford_26__isub__.doc = __pyx_doc_8PyClical_8clifford_26__isub__;
19531 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_26__isub__;
19535 #if CYTHON_COMPILING_IN_CPYTHON 19537 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__mul__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19538 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19539 __pyx_wrapperbase_8PyClical_8clifford_28__mul__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19540 __pyx_wrapperbase_8PyClical_8clifford_28__mul__.doc = __pyx_doc_8PyClical_8clifford_28__mul__;
19541 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_28__mul__;
19545 #if CYTHON_COMPILING_IN_CPYTHON 19547 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__imul__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19548 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19549 __pyx_wrapperbase_8PyClical_8clifford_30__imul__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19550 __pyx_wrapperbase_8PyClical_8clifford_30__imul__.doc = __pyx_doc_8PyClical_8clifford_30__imul__;
19551 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_30__imul__;
19555 #if CYTHON_COMPILING_IN_CPYTHON 19557 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__mod__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19558 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19559 __pyx_wrapperbase_8PyClical_8clifford_32__mod__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19560 __pyx_wrapperbase_8PyClical_8clifford_32__mod__.doc = __pyx_doc_8PyClical_8clifford_32__mod__;
19561 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_32__mod__;
19565 #if CYTHON_COMPILING_IN_CPYTHON 19567 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__imod__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19568 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19569 __pyx_wrapperbase_8PyClical_8clifford_34__imod__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19570 __pyx_wrapperbase_8PyClical_8clifford_34__imod__.doc = __pyx_doc_8PyClical_8clifford_34__imod__;
19571 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_34__imod__;
19575 #if CYTHON_COMPILING_IN_CPYTHON 19577 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__and__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19578 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19579 __pyx_wrapperbase_8PyClical_8clifford_36__and__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19580 __pyx_wrapperbase_8PyClical_8clifford_36__and__.doc = __pyx_doc_8PyClical_8clifford_36__and__;
19581 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_36__and__;
19585 #if CYTHON_COMPILING_IN_CPYTHON 19587 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__iand__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19588 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19589 __pyx_wrapperbase_8PyClical_8clifford_38__iand__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19590 __pyx_wrapperbase_8PyClical_8clifford_38__iand__.doc = __pyx_doc_8PyClical_8clifford_38__iand__;
19591 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_38__iand__;
19595 #if CYTHON_COMPILING_IN_CPYTHON 19597 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__xor__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19598 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19599 __pyx_wrapperbase_8PyClical_8clifford_40__xor__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19600 __pyx_wrapperbase_8PyClical_8clifford_40__xor__.doc = __pyx_doc_8PyClical_8clifford_40__xor__;
19601 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_40__xor__;
19605 #if CYTHON_COMPILING_IN_CPYTHON 19607 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__ixor__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19608 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19609 __pyx_wrapperbase_8PyClical_8clifford_42__ixor__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19610 __pyx_wrapperbase_8PyClical_8clifford_42__ixor__.doc = __pyx_doc_8PyClical_8clifford_42__ixor__;
19611 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_42__ixor__;
19615 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 19616 #if CYTHON_COMPILING_IN_CPYTHON 19618 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__div__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19619 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19620 __pyx_wrapperbase_8PyClical_8clifford_44__div__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19621 __pyx_wrapperbase_8PyClical_8clifford_44__div__.doc = __pyx_doc_8PyClical_8clifford_44__div__;
19622 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_44__div__;
19627 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 19628 #if CYTHON_COMPILING_IN_CPYTHON 19630 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__idiv__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19631 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19632 __pyx_wrapperbase_8PyClical_8clifford_46__idiv__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19633 __pyx_wrapperbase_8PyClical_8clifford_46__idiv__.doc = __pyx_doc_8PyClical_8clifford_46__idiv__;
19634 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_46__idiv__;
19639 #if CYTHON_COMPILING_IN_CPYTHON 19641 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__or__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19642 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19643 __pyx_wrapperbase_8PyClical_8clifford_50__or__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19644 __pyx_wrapperbase_8PyClical_8clifford_50__or__.doc = __pyx_doc_8PyClical_8clifford_50__or__;
19645 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_50__or__;
19649 #if CYTHON_COMPILING_IN_CPYTHON 19651 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__ior__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19652 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19653 __pyx_wrapperbase_8PyClical_8clifford_52__ior__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19654 __pyx_wrapperbase_8PyClical_8clifford_52__ior__.doc = __pyx_doc_8PyClical_8clifford_52__ior__;
19655 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_52__ior__;
19659 #if CYTHON_COMPILING_IN_CPYTHON 19661 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__pow__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19662 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19663 __pyx_wrapperbase_8PyClical_8clifford_54__pow__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19664 __pyx_wrapperbase_8PyClical_8clifford_54__pow__.doc = __pyx_doc_8PyClical_8clifford_54__pow__;
19665 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_54__pow__;
19669 #if CYTHON_COMPILING_IN_CPYTHON 19671 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__call__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19672 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19673 __pyx_wrapperbase_8PyClical_8clifford_60__call__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19674 __pyx_wrapperbase_8PyClical_8clifford_60__call__.doc = __pyx_doc_8PyClical_8clifford_60__call__;
19675 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_60__call__;
19679 #if CYTHON_COMPILING_IN_CPYTHON 19681 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__repr__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19682 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19683 __pyx_wrapperbase_8PyClical_8clifford_92__repr__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19684 __pyx_wrapperbase_8PyClical_8clifford_92__repr__.doc = __pyx_doc_8PyClical_8clifford_92__repr__;
19685 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_92__repr__;
19689 #if CYTHON_COMPILING_IN_CPYTHON 19691 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__str__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19692 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19693 __pyx_wrapperbase_8PyClical_8clifford_94__str__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19694 __pyx_wrapperbase_8PyClical_8clifford_94__str__.doc = __pyx_doc_8PyClical_8clifford_94__str__;
19695 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_94__str__;
19699 if (__Pyx_SetVtable(__pyx_type_8PyClical_clifford.tp_dict, __pyx_vtabptr_8PyClical_clifford) < 0) __PYX_ERR(0, 535, __pyx_L1_error)
19700 if (PyObject_SetAttr(__pyx_m, __pyx_n_s_clifford, (PyObject *)&__pyx_type_8PyClical_clifford) < 0) __PYX_ERR(0, 535, __pyx_L1_error)
19701 if (__Pyx_setup_reduce((PyObject*)&__pyx_type_8PyClical_clifford) < 0) __PYX_ERR(0, 535, __pyx_L1_error)
19702 __pyx_ptype_8PyClical_clifford = &__pyx_type_8PyClical_clifford;
19703 if (PyType_Ready(&__pyx_type_8PyClical___pyx_scope_struct____iter__) < 0) __PYX_ERR(0, 227, __pyx_L1_error)
19704 #if PY_VERSION_HEX < 0x030800B1 19705 __pyx_type_8PyClical___pyx_scope_struct____iter__.tp_print = 0;
19707 if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_8PyClical___pyx_scope_struct____iter__.tp_dictoffset && __pyx_type_8PyClical___pyx_scope_struct____iter__.tp_getattro == PyObject_GenericGetAttr)) {
19708 __pyx_type_8PyClical___pyx_scope_struct____iter__.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
19710 __pyx_ptype_8PyClical___pyx_scope_struct____iter__ = &__pyx_type_8PyClical___pyx_scope_struct____iter__;
19711 __Pyx_RefNannyFinishContext();
19714 __Pyx_RefNannyFinishContext();
19718 static int __Pyx_modinit_type_import_code(
void) {
19719 __Pyx_RefNannyDeclarations
19720 __Pyx_RefNannySetupContext(
"__Pyx_modinit_type_import_code", 0);
19722 __Pyx_RefNannyFinishContext();
19726 static int __Pyx_modinit_variable_import_code(
void) {
19727 __Pyx_RefNannyDeclarations
19728 __Pyx_RefNannySetupContext(
"__Pyx_modinit_variable_import_code", 0);
19730 __Pyx_RefNannyFinishContext();
19734 static int __Pyx_modinit_function_import_code(
void) {
19735 __Pyx_RefNannyDeclarations
19736 __Pyx_RefNannySetupContext(
"__Pyx_modinit_function_import_code", 0);
19738 __Pyx_RefNannyFinishContext();
19743 #if PY_MAJOR_VERSION < 3 19744 #ifdef CYTHON_NO_PYINIT_EXPORT 19745 #define __Pyx_PyMODINIT_FUNC void 19747 #define __Pyx_PyMODINIT_FUNC PyMODINIT_FUNC 19750 #ifdef CYTHON_NO_PYINIT_EXPORT 19751 #define __Pyx_PyMODINIT_FUNC PyObject * 19753 #define __Pyx_PyMODINIT_FUNC PyMODINIT_FUNC 19758 #if PY_MAJOR_VERSION < 3 19759 __Pyx_PyMODINIT_FUNC initPyClical(
void) CYTHON_SMALL_CODE;
19760 __Pyx_PyMODINIT_FUNC initPyClical(
void)
19762 __Pyx_PyMODINIT_FUNC PyInit_PyClical(
void) CYTHON_SMALL_CODE;
19763 __Pyx_PyMODINIT_FUNC PyInit_PyClical(
void)
19764 #if CYTHON_PEP489_MULTI_PHASE_INIT 19766 return PyModuleDef_Init(&__pyx_moduledef);
19768 static CYTHON_SMALL_CODE
int __Pyx_check_single_interpreter(
void) {
19769 #if PY_VERSION_HEX >= 0x030700A1 19770 static PY_INT64_T main_interpreter_id = -1;
19771 PY_INT64_T current_id = PyInterpreterState_GetID(PyThreadState_Get()->interp);
19772 if (main_interpreter_id == -1) {
19773 main_interpreter_id = current_id;
19774 return (unlikely(current_id == -1)) ? -1 : 0;
19775 }
else if (unlikely(main_interpreter_id != current_id))
19777 static PyInterpreterState *main_interpreter = NULL;
19778 PyInterpreterState *current_interpreter = PyThreadState_Get()->interp;
19779 if (!main_interpreter) {
19780 main_interpreter = current_interpreter;
19781 }
else if (unlikely(main_interpreter != current_interpreter))
19786 "Interpreter change detected - this module can only be loaded into one interpreter per process.");
19791 static CYTHON_SMALL_CODE
int __Pyx_copy_spec_to_module(PyObject *spec, PyObject *moddict,
const char* from_name,
const char* to_name,
int allow_none) {
19792 PyObject *value = PyObject_GetAttrString(spec, from_name);
19794 if (likely(value)) {
19795 if (allow_none || value != Py_None) {
19796 result = PyDict_SetItemString(moddict, to_name, value);
19799 }
else if (PyErr_ExceptionMatches(PyExc_AttributeError)) {
19806 static CYTHON_SMALL_CODE PyObject* __pyx_pymod_create(PyObject *spec, CYTHON_UNUSED PyModuleDef *def) {
19807 PyObject *module = NULL, *moddict, *modname;
19808 if (__Pyx_check_single_interpreter())
19811 return __Pyx_NewRef(__pyx_m);
19812 modname = PyObject_GetAttrString(spec,
"name");
19813 if (unlikely(!modname))
goto bad;
19814 module = PyModule_NewObject(modname);
19815 Py_DECREF(modname);
19816 if (unlikely(!module))
goto bad;
19817 moddict = PyModule_GetDict(module);
19818 if (unlikely(!moddict))
goto bad;
19819 if (unlikely(__Pyx_copy_spec_to_module(spec, moddict,
"loader",
"__loader__", 1) < 0))
goto bad;
19820 if (unlikely(__Pyx_copy_spec_to_module(spec, moddict,
"origin",
"__file__", 1) < 0))
goto bad;
19821 if (unlikely(__Pyx_copy_spec_to_module(spec, moddict,
"parent",
"__package__", 1) < 0))
goto bad;
19822 if (unlikely(__Pyx_copy_spec_to_module(spec, moddict,
"submodule_search_locations",
"__path__", 0) < 0))
goto bad;
19825 Py_XDECREF(module);
19830 static CYTHON_SMALL_CODE
int __pyx_pymod_exec_PyClical(PyObject *__pyx_pyinit_module)
19834 PyObject *__pyx_t_1 = NULL;
19835 PyObject *__pyx_t_2 = NULL;
19836 PyObject *__pyx_t_3 = NULL;
19838 __Pyx_RefNannyDeclarations
19839 #if CYTHON_PEP489_MULTI_PHASE_INIT 19841 if (__pyx_m == __pyx_pyinit_module)
return 0;
19842 PyErr_SetString(PyExc_RuntimeError,
"Module 'PyClical' has already been imported. Re-initialisation is not supported.");
19845 #elif PY_MAJOR_VERSION >= 3 19846 if (__pyx_m)
return __Pyx_NewRef(__pyx_m);
19848 #if CYTHON_REFNANNY 19849 __Pyx_RefNanny = __Pyx_RefNannyImportAPI(
"refnanny");
19850 if (!__Pyx_RefNanny) {
19852 __Pyx_RefNanny = __Pyx_RefNannyImportAPI(
"Cython.Runtime.refnanny");
19853 if (!__Pyx_RefNanny)
19854 Py_FatalError(
"failed to import 'refnanny' module");
19857 __Pyx_RefNannySetupContext(
"__Pyx_PyMODINIT_FUNC PyInit_PyClical(void)", 0);
19858 if (__Pyx_check_binary_version() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
19859 #ifdef __Pxy_PyFrame_Initialize_Offsets 19860 __Pxy_PyFrame_Initialize_Offsets();
19862 __pyx_empty_tuple = PyTuple_New(0);
if (unlikely(!__pyx_empty_tuple)) __PYX_ERR(0, 1, __pyx_L1_error)
19863 __pyx_empty_bytes = PyBytes_FromStringAndSize(
"", 0);
if (unlikely(!__pyx_empty_bytes)) __PYX_ERR(0, 1, __pyx_L1_error)
19864 __pyx_empty_unicode = PyUnicode_FromStringAndSize(
"", 0);
if (unlikely(!__pyx_empty_unicode)) __PYX_ERR(0, 1, __pyx_L1_error)
19865 #ifdef __Pyx_CyFunction_USED 19866 if (__pyx_CyFunction_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
19868 #ifdef __Pyx_FusedFunction_USED 19869 if (__pyx_FusedFunction_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
19871 #ifdef __Pyx_Coroutine_USED 19872 if (__pyx_Coroutine_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
19874 #ifdef __Pyx_Generator_USED 19875 if (__pyx_Generator_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
19877 #ifdef __Pyx_AsyncGen_USED 19878 if (__pyx_AsyncGen_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
19880 #ifdef __Pyx_StopAsyncIteration_USED 19881 if (__pyx_StopAsyncIteration_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
19885 #if defined(__PYX_FORCE_INIT_THREADS) && __PYX_FORCE_INIT_THREADS 19887 PyEval_InitThreads();
19891 #if CYTHON_PEP489_MULTI_PHASE_INIT 19892 __pyx_m = __pyx_pyinit_module;
19893 Py_INCREF(__pyx_m);
19895 #if PY_MAJOR_VERSION < 3 19896 __pyx_m = Py_InitModule4(
"PyClical", __pyx_methods, 0, 0, PYTHON_API_VERSION); Py_XINCREF(__pyx_m);
19898 __pyx_m = PyModule_Create(&__pyx_moduledef);
19900 if (unlikely(!__pyx_m)) __PYX_ERR(0, 1, __pyx_L1_error)
19902 __pyx_d = PyModule_GetDict(__pyx_m);
if (unlikely(!__pyx_d)) __PYX_ERR(0, 1, __pyx_L1_error)
19903 Py_INCREF(__pyx_d);
19904 __pyx_b = PyImport_AddModule(__Pyx_BUILTIN_MODULE_NAME);
if (unlikely(!__pyx_b)) __PYX_ERR(0, 1, __pyx_L1_error)
19905 Py_INCREF(__pyx_b);
19906 __pyx_cython_runtime = PyImport_AddModule((
char *)
"cython_runtime");
if (unlikely(!__pyx_cython_runtime)) __PYX_ERR(0, 1, __pyx_L1_error)
19907 Py_INCREF(__pyx_cython_runtime);
19908 if (PyObject_SetAttrString(__pyx_m,
"__builtins__", __pyx_b) < 0) __PYX_ERR(0, 1, __pyx_L1_error);
19910 if (__Pyx_InitGlobals() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
19911 #if PY_MAJOR_VERSION < 3 && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT) 19912 if (__Pyx_init_sys_getdefaultencoding_params() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
19914 if (__pyx_module_is_main_PyClical) {
19915 if (PyObject_SetAttr(__pyx_m, __pyx_n_s_name, __pyx_n_s_main) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
19917 #if PY_MAJOR_VERSION >= 3 19919 PyObject *modules = PyImport_GetModuleDict();
if (unlikely(!modules)) __PYX_ERR(0, 1, __pyx_L1_error)
19920 if (!PyDict_GetItemString(modules,
"PyClical")) {
19921 if (unlikely(PyDict_SetItemString(modules,
"PyClical", __pyx_m) < 0)) __PYX_ERR(0, 1, __pyx_L1_error)
19926 if (__Pyx_InitCachedBuiltins() < 0)
goto __pyx_L1_error;
19928 if (__Pyx_InitCachedConstants() < 0)
goto __pyx_L1_error;
19930 (void)__Pyx_modinit_global_init_code();
19931 (void)__Pyx_modinit_variable_export_code();
19932 (void)__Pyx_modinit_function_export_code();
19933 if (unlikely(__Pyx_modinit_type_init_code() != 0))
goto __pyx_L1_error;
19934 (void)__Pyx_modinit_type_import_code();
19935 (void)__Pyx_modinit_variable_import_code();
19936 (void)__Pyx_modinit_function_import_code();
19938 #if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED) 19939 if (__Pyx_patch_abc() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
19949 __pyx_t_1 = __Pyx_Import(__pyx_n_s_math, 0, -1);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 28, __pyx_L1_error)
19950 __Pyx_GOTREF(__pyx_t_1);
19951 if (PyDict_SetItem(__pyx_d, __pyx_n_s_math, __pyx_t_1) < 0) __PYX_ERR(0, 28, __pyx_L1_error)
19952 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
19961 __pyx_t_1 = __Pyx_Import(__pyx_n_s_numbers, 0, -1);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 29, __pyx_L1_error)
19962 __Pyx_GOTREF(__pyx_t_1);
19963 if (PyDict_SetItem(__pyx_d, __pyx_n_s_numbers, __pyx_t_1) < 0) __PYX_ERR(0, 29, __pyx_L1_error)
19964 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
19973 __pyx_t_1 = __Pyx_Import(__pyx_n_s_collections, 0, -1);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 30, __pyx_L1_error)
19974 __Pyx_GOTREF(__pyx_t_1);
19975 if (PyDict_SetItem(__pyx_d, __pyx_n_s_collections, __pyx_t_1) < 0) __PYX_ERR(0, 30, __pyx_L1_error)
19976 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
19985 if (PyDict_SetItem(__pyx_d, __pyx_n_s_version, __pyx_kp_s_0_8_2) < 0) __PYX_ERR(0, 32, __pyx_L1_error)
19994 __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_8PyClical_1index_set_hidden_doctests, NULL, __pyx_n_s_PyClical);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 404, __pyx_L1_error)
19995 __Pyx_GOTREF(__pyx_t_1);
19996 if (PyDict_SetItem(__pyx_d, __pyx_n_s_index_set_hidden_doctests, __pyx_t_1) < 0) __PYX_ERR(0, 404, __pyx_L1_error)
19997 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
20006 __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_8PyClical_9clifford_hidden_doctests, NULL, __pyx_n_s_PyClical);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1243, __pyx_L1_error)
20007 __Pyx_GOTREF(__pyx_t_1);
20008 if (PyDict_SetItem(__pyx_d, __pyx_n_s_clifford_hidden_doctests, __pyx_t_1) < 0) __PYX_ERR(0, 1243, __pyx_L1_error)
20009 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
20018 __pyx_t_1 = __Pyx_PyObject_Call(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_tuple__15, NULL);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1856, __pyx_L1_error)
20019 __Pyx_GOTREF(__pyx_t_1);
20020 __pyx_t_2 = __pyx_f_8PyClical_atan(__pyx_t_1, 0, NULL);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1856, __pyx_L1_error)
20021 __Pyx_GOTREF(__pyx_t_2);
20022 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
20023 __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_float_8_0);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1856, __pyx_L1_error)
20024 __Pyx_GOTREF(__pyx_t_1);
20025 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20026 if (PyDict_SetItem(__pyx_d, __pyx_n_s_tau, __pyx_t_1) < 0) __PYX_ERR(0, 1856, __pyx_L1_error)
20027 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
20036 __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_tau);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1857, __pyx_L1_error)
20037 __Pyx_GOTREF(__pyx_t_1);
20038 __pyx_t_2 = __Pyx_PyFloat_DivideObjC(__pyx_t_1, __pyx_float_2_0, 2.0, 0, 0);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1857, __pyx_L1_error)
20039 __Pyx_GOTREF(__pyx_t_2);
20040 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
20041 if (PyDict_SetItem(__pyx_d, __pyx_n_s_pi, __pyx_t_2) < 0) __PYX_ERR(0, 1857, __pyx_L1_error)
20042 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20051 if (PyDict_SetItem(__pyx_d, __pyx_n_s_cl, ((PyObject *)__pyx_ptype_8PyClical_clifford)) < 0) __PYX_ERR(0, 1859, __pyx_L1_error)
20060 if (PyDict_SetItem(__pyx_d, __pyx_n_s_ist, ((PyObject *)__pyx_ptype_8PyClical_index_set)) < 0) __PYX_ERR(0, 1879, __pyx_L1_error)
20069 __pyx_t_2 = PyCFunction_NewEx(&__pyx_mdef_8PyClical_83e, NULL, __pyx_n_s_PyClical);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1887, __pyx_L1_error)
20070 __Pyx_GOTREF(__pyx_t_2);
20071 if (PyDict_SetItem(__pyx_d, __pyx_n_s_e, __pyx_t_2) < 0) __PYX_ERR(0, 1887, __pyx_L1_error)
20072 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20081 __pyx_t_2 = PyCFunction_NewEx(&__pyx_mdef_8PyClical_85istpq, NULL, __pyx_n_s_PyClical);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1900, __pyx_L1_error)
20082 __Pyx_GOTREF(__pyx_t_2);
20083 if (PyDict_SetItem(__pyx_d, __pyx_n_s_istpq, __pyx_t_2) < 0) __PYX_ERR(0, 1900, __pyx_L1_error)
20084 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20093 __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_e);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1909, __pyx_L1_error)
20094 __Pyx_GOTREF(__pyx_t_2);
20095 __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_tuple__20, NULL);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1909, __pyx_L1_error)
20096 __Pyx_GOTREF(__pyx_t_1);
20097 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20098 __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_e);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1909, __pyx_L1_error)
20099 __Pyx_GOTREF(__pyx_t_2);
20100 __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_tuple__21, NULL);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1909, __pyx_L1_error)
20101 __Pyx_GOTREF(__pyx_t_3);
20102 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20103 __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_t_3);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1909, __pyx_L1_error)
20104 __Pyx_GOTREF(__pyx_t_2);
20105 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
20106 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
20107 if (PyDict_SetItem(__pyx_d, __pyx_n_s_ninf3, __pyx_t_2) < 0) __PYX_ERR(0, 1909, __pyx_L1_error)
20108 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20117 __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_e);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1910, __pyx_L1_error)
20118 __Pyx_GOTREF(__pyx_t_2);
20119 __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_tuple__20, NULL);
if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1910, __pyx_L1_error)
20120 __Pyx_GOTREF(__pyx_t_3);
20121 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20122 __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_e);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1910, __pyx_L1_error)
20123 __Pyx_GOTREF(__pyx_t_2);
20124 __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_tuple__21, NULL);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1910, __pyx_L1_error)
20125 __Pyx_GOTREF(__pyx_t_1);
20126 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20127 __pyx_t_2 = PyNumber_Subtract(__pyx_t_3, __pyx_t_1);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1910, __pyx_L1_error)
20128 __Pyx_GOTREF(__pyx_t_2);
20129 __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
20130 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
20131 if (PyDict_SetItem(__pyx_d, __pyx_n_s_nbar3, __pyx_t_2) < 0) __PYX_ERR(0, 1910, __pyx_L1_error)
20132 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20141 __pyx_t_2 = PyCFunction_NewEx(&__pyx_mdef_8PyClical_87_test, NULL, __pyx_n_s_PyClical);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1913, __pyx_L1_error)
20142 __Pyx_GOTREF(__pyx_t_2);
20143 if (PyDict_SetItem(__pyx_d, __pyx_n_s_test, __pyx_t_2) < 0) __PYX_ERR(0, 1913, __pyx_L1_error)
20144 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20152 __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_name);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1917, __pyx_L1_error)
20153 __Pyx_GOTREF(__pyx_t_2);
20154 __pyx_t_4 = (__Pyx_PyString_Equals(__pyx_t_2, __pyx_n_s_main, Py_EQ));
if (unlikely(__pyx_t_4 < 0)) __PYX_ERR(0, 1917, __pyx_L1_error)
20155 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20163 __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_test);
if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1918, __pyx_L1_error)
20164 __Pyx_GOTREF(__pyx_t_2);
20165 __pyx_t_1 = __Pyx_PyObject_CallNoArg(__pyx_t_2);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1918, __pyx_L1_error)
20166 __Pyx_GOTREF(__pyx_t_1);
20167 __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
20168 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
20183 __pyx_t_1 = __Pyx_PyDict_NewPresized(107);
if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1, __pyx_L1_error)
20184 __Pyx_GOTREF(__pyx_t_1);
20185 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set_copy_line_64, __pyx_kp_u_Copy_this_index_set_object_s_in) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20186 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set___setitem___line_177, __pyx_kp_u_Set_the_value_of_an_index_set_o) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20187 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set___getitem___line_189, __pyx_kp_u_Get_the_value_of_an_index_set_o) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20188 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set___iter___line_227, __pyx_kp_u_Iterate_over_the_indices_of_an) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20189 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set___invert___line_238, __pyx_kp_u_Set_complement_not_print_index) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20190 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set___xor___line_247, __pyx_kp_u_Symmetric_set_difference_exclus) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20191 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set___ixor___line_258, __pyx_kp_u_Symmetric_set_difference_exclus_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20192 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set___and___line_269, __pyx_kp_u_Set_intersection_and_print_inde) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20193 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set___iand___line_280, __pyx_kp_u_Set_intersection_and_x_index_se) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20194 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set___or___line_291, __pyx_kp_u_Set_union_or_print_index_set_1) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20195 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set___ior___line_302, __pyx_kp_u_Set_union_or_x_index_set_1_x_in) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20196 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set_count_line_313, __pyx_kp_u_Cardinality_Number_of_indices_i) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20197 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set_count_neg_line_322, __pyx_kp_u_Number_of_negative_indices_incl) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20198 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set_count_pos_line_331, __pyx_kp_u_Number_of_positive_indices_incl) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20199 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set_min_line_340, __pyx_kp_u_Minimum_member_index_set_1_1_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20200 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set_max_line_349, __pyx_kp_u_Maximum_member_index_set_1_1_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20201 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set_sign_of_mult_line_364, __pyx_kp_u_Sign_of_geometric_product_of_tw) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20202 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set_sign_of_square_line_37, __pyx_kp_u_Sign_of_geometric_square_of_a_C) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20203 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set___repr___line_382, __pyx_kp_u_The_official_string_representat) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20204 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set___str___line_393, __pyx_kp_u_The_informal_string_representat) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20205 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_index_set_hidden_doctests_line_4, __pyx_kp_u_Tests_for_functions_that_Doctes) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20206 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_compare_line_490, __pyx_kp_u_lexicographic_compare_eg_3_4_5) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20207 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_min_neg_line_502, __pyx_kp_u_Minimum_negative_index_or_0_if) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20208 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_max_pos_line_511, __pyx_kp_u_Maximum_positive_index_or_0_if) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20209 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_copy_line_554, __pyx_kp_u_Copy_this_clifford_object_x_cli) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20210 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___iter___line_637, __pyx_kp_u_Not_applicable_for_a_in_cliffor) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20211 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_reframe_line_648, __pyx_kp_u_Put_self_into_a_larger_frame_co) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20212 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___getitem___line_706, __pyx_kp_u_Subscripting_map_from_index_set) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20213 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___neg___line_721, __pyx_kp_u_Unary_print_clifford_1_1) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20214 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___pos___line_730, __pyx_kp_u_Unary_print_clifford_1_1_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20215 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___add___line_739, __pyx_kp_u_Geometric_sum_print_clifford_1) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20216 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___iadd___line_750, __pyx_kp_u_Geometric_sum_x_clifford_1_x_cl) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20217 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___sub___line_759, __pyx_kp_u_Geometric_difference_print_clif) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20218 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___isub___line_770, __pyx_kp_u_Geometric_difference_x_clifford) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20219 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___mul___line_779, __pyx_kp_u_Geometric_product_print_cliffor) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20220 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___imul___line_792, __pyx_kp_u_Geometric_product_x_clifford_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20221 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___mod___line_805, __pyx_kp_u_Contraction_print_clifford_1_cl) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20222 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___imod___line_820, __pyx_kp_u_Contraction_x_clifford_1_x_clif) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20223 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___and___line_835, __pyx_kp_u_Inner_product_print_clifford_1) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20224 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___iand___line_850, __pyx_kp_u_Inner_product_x_clifford_1_x_cl) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20225 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___xor___line_865, __pyx_kp_u_Outer_product_print_clifford_1) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20226 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___ixor___line_880, __pyx_kp_u_Outer_product_x_clifford_1_x_cl) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20227 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___div___line_895, __pyx_kp_u_Geometric_quotient_print_cliffo) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20228 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___idiv___line_910, __pyx_kp_u_Geometric_quotient_x_clifford_1) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20229 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_inv_line_925, __pyx_kp_u_Geometric_multiplicative_invers) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20230 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___or___line_938, __pyx_kp_u_Transform_left_hand_side_using) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20231 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___ior___line_949, __pyx_kp_u_Transform_left_hand_side_using_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20232 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___pow___line_960, __pyx_kp_u_Power_self_to_the_m_x_clifford) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20233 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_pow_line_979, __pyx_kp_u_Power_self_to_the_m_x_clifford_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20234 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_outer_pow_line_1003, __pyx_kp_u_Outer_product_power_x_clifford) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20235 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___call___line_1019, __pyx_kp_u_Pure_grade_vector_part_print_cl) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20236 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_scalar_line_1038, __pyx_kp_u_Scalar_part_clifford_1_1_1_2_sc) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20237 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_pure_line_1049, __pyx_kp_u_Pure_part_print_clifford_1_1_1) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20238 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_even_line_1060, __pyx_kp_u_Even_part_of_multivector_sum_of) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20239 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_odd_line_1069, __pyx_kp_u_Odd_part_of_multivector_sum_of) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20240 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_vector_part_line_1078, __pyx_kp_u_Vector_part_of_multivector_as_a) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20241 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_involute_line_1106, __pyx_kp_u_Main_involution_each_i_is_repla) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20242 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_reverse_line_1122, __pyx_kp_u_Reversion_eg_clifford_1_cliffor) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20243 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_conj_line_1137, __pyx_kp_u_Conjugation_reverse_o_involute) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20244 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_quad_line_1152, __pyx_kp_u_Quadratic_form_rev_x_x_0_print) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20245 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_norm_line_1163, __pyx_kp_u_Norm_sum_of_squares_of_coordina) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20246 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_abs_line_1174, __pyx_kp_u_Absolute_value_square_root_of_n) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20247 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_max_abs_line_1183, __pyx_kp_u_Maximum_of_absolute_values_of_c) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20248 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_truncated_line_1194, __pyx_kp_u_Remove_all_terms_of_self_with_r) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20249 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_isnan_line_1205, __pyx_kp_u_Check_if_a_multivector_contains) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20250 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_frame_line_1214, __pyx_kp_u_Subalgebra_generated_by_all_gen) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20251 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___repr___line_1225, __pyx_kp_u_The_official_string_representat_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20252 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford___str___line_1234, __pyx_kp_u_The_informal_string_representat_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20253 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_clifford_hidden_doctests_line_12, __pyx_kp_u_Tests_for_functions_that_Doctes_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20254 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_inv_line_1329, __pyx_kp_u_Geometric_multiplicative_invers_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20255 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_scalar_line_1344, __pyx_kp_u_Scalar_part_scalar_clifford_1_1) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20256 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_real_line_1355, __pyx_kp_u_Real_part_synonym_for_scalar_pa) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20257 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_imag_line_1366, __pyx_kp_u_Imaginary_part_deprecated_alway) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20258 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_pure_line_1377, __pyx_kp_u_Pure_part_print_pure_clifford_1) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20259 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_even_line_1388, __pyx_kp_u_Even_part_of_multivector_sum_of_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20260 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_odd_line_1397, __pyx_kp_u_Odd_part_of_multivector_sum_of_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20261 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_involute_line_1406, __pyx_kp_u_Main_involution_each_i_is_repla_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20262 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_reverse_line_1421, __pyx_kp_u_Reversion_eg_1_2_2_1_print_reve) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20263 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_conj_line_1436, __pyx_kp_u_Conjugation_reverse_o_involute_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20264 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_quad_line_1451, __pyx_kp_u_Quadratic_form_rev_x_x_0_print_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20265 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_norm_line_1462, __pyx_kp_u_norm_sum_of_squares_of_coordina) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20266 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_abs_line_1473, __pyx_kp_u_Absolute_value_of_multivector_m) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20267 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_max_abs_line_1482, __pyx_kp_u_Maximum_absolute_value_of_coord) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20268 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_pow_line_1494, __pyx_kp_u_Integer_power_of_multivector_ob) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20269 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_outer_pow_line_1518, __pyx_kp_u_Outer_product_power_of_multivec) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20270 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_complexifier_line_1527, __pyx_kp_u_Square_root_of_1_which_commutes) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20271 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_sqrt_line_1542, __pyx_kp_u_Square_root_of_multivector_with) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20272 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_exp_line_1565, __pyx_kp_u_Exponential_of_multivector_x_cl) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20273 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_log_line_1579, __pyx_kp_u_Natural_logarithm_of_multivecto) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20274 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_cos_line_1602, __pyx_kp_u_Cosine_of_multivector_with_opti) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20275 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_acos_line_1619, __pyx_kp_u_Inverse_cosine_of_multivector_w) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20276 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_cosh_line_1640, __pyx_kp_u_Hyperbolic_cosine_of_multivecto) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20277 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_acosh_line_1656, __pyx_kp_u_Inverse_hyperbolic_cosine_of_mu) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20278 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_sin_line_1679, __pyx_kp_u_Sine_of_multivector_with_option) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20279 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_asin_line_1698, __pyx_kp_u_Inverse_sine_of_multivector_wit) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20280 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_sinh_line_1719, __pyx_kp_u_Hyperbolic_sine_of_multivector) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20281 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_asinh_line_1733, __pyx_kp_u_Inverse_hyperbolic_sine_of_mult) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20282 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_tan_line_1752, __pyx_kp_u_Tangent_of_multivector_with_opt) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20283 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_atan_line_1769, __pyx_kp_u_Inverse_tangent_of_multivector) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20284 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_tanh_line_1786, __pyx_kp_u_Hyperbolic_tangent_of_multivect) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20285 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_atanh_line_1798, __pyx_kp_u_Inverse_hyperbolic_tangent_of_m) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20286 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_random_clifford_line_1815, __pyx_kp_u_Random_multivector_within_a_fra) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20287 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_cga3_line_1824, __pyx_kp_u_Convert_Euclidean_3D_multivecto) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20288 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_cga3std_line_1833, __pyx_kp_u_Convert_CGA3_null_vector_to_sta) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20289 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_agc3_line_1844, __pyx_kp_u_Convert_CGA3_null_vector_to_Euc) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20290 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_e_line_1887, __pyx_kp_u_Abbreviation_for_clifford_index) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20291 if (PyDict_SetItem(__pyx_t_1, __pyx_kp_u_istpq_line_1900, __pyx_kp_u_Abbreviation_for_index_set_q_p) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20292 if (PyDict_SetItem(__pyx_d, __pyx_n_s_test_2, __pyx_t_1) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
20293 __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
20299 __Pyx_XDECREF(__pyx_t_1);
20300 __Pyx_XDECREF(__pyx_t_2);
20301 __Pyx_XDECREF(__pyx_t_3);
20304 __Pyx_AddTraceback(
"init PyClical", __pyx_clineno, __pyx_lineno, __pyx_filename);
20307 }
else if (!PyErr_Occurred()) {
20308 PyErr_SetString(PyExc_ImportError,
"init PyClical");
20311 __Pyx_RefNannyFinishContext();
20312 #if CYTHON_PEP489_MULTI_PHASE_INIT 20313 return (__pyx_m != NULL) ? 0 : -1;
20314 #elif PY_MAJOR_VERSION >= 3 20323 #if CYTHON_REFNANNY 20324 static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(
const char *modname) {
20325 PyObject *m = NULL, *p = NULL;
20327 m = PyImport_ImportModule(modname);
20329 p = PyObject_GetAttrString(m,
"RefNannyAPI");
20331 r = PyLong_AsVoidPtr(p);
20335 return (__Pyx_RefNannyAPIStruct *)r;
20340 #if CYTHON_USE_TYPE_SLOTS 20341 static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject*
obj, PyObject* attr_name) {
20342 PyTypeObject* tp = Py_TYPE(
obj);
20343 if (likely(tp->tp_getattro))
20344 return tp->tp_getattro(
obj, attr_name);
20345 #if PY_MAJOR_VERSION < 3 20346 if (likely(tp->tp_getattr))
20347 return tp->tp_getattr(
obj, PyString_AS_STRING(attr_name));
20349 return PyObject_GetAttr(
obj, attr_name);
20354 static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
20355 PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
20356 if (unlikely(!result)) {
20357 PyErr_Format(PyExc_NameError,
20358 #
if PY_MAJOR_VERSION >= 3
20359 "name '%U' is not defined", name);
20361 "name '%.200s' is not defined", PyString_AS_STRING(name));
20368 #if CYTHON_FAST_PYCCALL 20369 static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
20370 PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
20371 PyCFunction meth = PyCFunction_GET_FUNCTION(func);
20372 PyObject *
self = PyCFunction_GET_SELF(func);
20373 int flags = PyCFunction_GET_FLAGS(func);
20374 assert(PyCFunction_Check(func));
20375 assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
20376 assert(nargs >= 0);
20377 assert(nargs == 0 || args != NULL);
20381 assert(!PyErr_Occurred());
20382 if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
20383 return (*((__Pyx_PyCFunctionFastWithKeywords)(
void*)meth)) (
self, args, nargs, NULL);
20385 return (*((__Pyx_PyCFunctionFast)(
void*)meth)) (
self, args, nargs);
20391 #if CYTHON_FAST_PYCALL 20392 static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
20393 PyObject *globals) {
20395 PyThreadState *tstate = __Pyx_PyThreadState_Current;
20396 PyObject **fastlocals;
20399 assert(globals != NULL);
20404 assert(tstate != NULL);
20405 f = PyFrame_New(tstate, co, globals, NULL);
20409 fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
20410 for (
i = 0;
i < na;
i++) {
20412 fastlocals[
i] = *args++;
20414 result = PyEval_EvalFrameEx(f,0);
20415 ++tstate->recursion_depth;
20417 --tstate->recursion_depth;
20420 #if 1 || PY_VERSION_HEX < 0x030600B1 20421 static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
20422 PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
20423 PyObject *globals = PyFunction_GET_GLOBALS(func);
20424 PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
20426 #if PY_MAJOR_VERSION >= 3 20429 PyObject *kwtuple, **k;
20434 assert(kwargs == NULL || PyDict_Check(kwargs));
20435 nk = kwargs ? PyDict_Size(kwargs) : 0;
20436 if (Py_EnterRecursiveCall((
char*)
" while calling a Python object")) {
20440 #
if PY_MAJOR_VERSION >= 3
20441 co->co_kwonlyargcount == 0 &&
20443 likely(kwargs == NULL || nk == 0) &&
20444 co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
20445 if (argdefs == NULL && co->co_argcount == nargs) {
20446 result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
20449 else if (nargs == 0 && argdefs != NULL
20450 && co->co_argcount == Py_SIZE(argdefs)) {
20453 args = &PyTuple_GET_ITEM(argdefs, 0);
20454 result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
20458 if (kwargs != NULL) {
20460 kwtuple = PyTuple_New(2 * nk);
20461 if (kwtuple == NULL) {
20465 k = &PyTuple_GET_ITEM(kwtuple, 0);
20467 while (PyDict_Next(kwargs, &pos, &k[
i], &k[
i+1])) {
20478 closure = PyFunction_GET_CLOSURE(func);
20479 #if PY_MAJOR_VERSION >= 3 20480 kwdefs = PyFunction_GET_KW_DEFAULTS(func);
20482 if (argdefs != NULL) {
20483 d = &PyTuple_GET_ITEM(argdefs, 0);
20484 nd = Py_SIZE(argdefs);
20490 #if PY_MAJOR_VERSION >= 3 20491 result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
20494 d, (
int)nd, kwdefs, closure);
20496 result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
20499 d, (
int)nd, closure);
20501 Py_XDECREF(kwtuple);
20503 Py_LeaveRecursiveCall();
20510 #if CYTHON_COMPILING_IN_CPYTHON 20511 static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
20513 ternaryfunc call = func->ob_type->tp_call;
20514 if (unlikely(!call))
20515 return PyObject_Call(func, arg, kw);
20516 if (unlikely(Py_EnterRecursiveCall((
char*)
" while calling a Python object")))
20518 result = (*call)(func, arg, kw);
20519 Py_LeaveRecursiveCall();
20520 if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
20523 "NULL result without error in PyObject_Call");
20530 #if CYTHON_COMPILING_IN_CPYTHON 20531 static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
20532 PyObject *
self, *result;
20534 cfunc = PyCFunction_GET_FUNCTION(func);
20535 self = PyCFunction_GET_SELF(func);
20536 if (unlikely(Py_EnterRecursiveCall((
char*)
" while calling a Python object")))
20538 result = cfunc(
self, arg);
20539 Py_LeaveRecursiveCall();
20540 if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
20543 "NULL result without error in PyObject_Call");
20550 #if CYTHON_COMPILING_IN_CPYTHON 20551 static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
20553 PyObject *args = PyTuple_New(1);
20554 if (unlikely(!args))
return NULL;
20556 PyTuple_SET_ITEM(args, 0, arg);
20557 result = __Pyx_PyObject_Call(func, args, NULL);
20561 static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
20562 #if CYTHON_FAST_PYCALL 20563 if (PyFunction_Check(func)) {
20564 return __Pyx_PyFunction_FastCall(func, &arg, 1);
20567 if (likely(PyCFunction_Check(func))) {
20568 if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
20569 return __Pyx_PyObject_CallMethO(func, arg);
20570 #if CYTHON_FAST_PYCCALL 20571 }
else if (PyCFunction_GET_FLAGS(func) & METH_FASTCALL) {
20572 return __Pyx_PyCFunction_FastCall(func, &arg, 1);
20576 return __Pyx__PyObject_CallOneArg(func, arg);
20579 static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
20581 PyObject *args = PyTuple_Pack(1, arg);
20582 if (unlikely(!args))
return NULL;
20583 result = __Pyx_PyObject_Call(func, args, NULL);
20590 #if CYTHON_FAST_THREAD_STATE 20591 static CYTHON_INLINE
void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
20592 PyObject *tmp_type, *tmp_value, *tmp_tb;
20593 tmp_type = tstate->curexc_type;
20594 tmp_value = tstate->curexc_value;
20595 tmp_tb = tstate->curexc_traceback;
20596 tstate->curexc_type = type;
20597 tstate->curexc_value = value;
20598 tstate->curexc_traceback = tb;
20599 Py_XDECREF(tmp_type);
20600 Py_XDECREF(tmp_value);
20601 Py_XDECREF(tmp_tb);
20603 static CYTHON_INLINE
void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
20604 *type = tstate->curexc_type;
20605 *value = tstate->curexc_value;
20606 *tb = tstate->curexc_traceback;
20607 tstate->curexc_type = 0;
20608 tstate->curexc_value = 0;
20609 tstate->curexc_traceback = 0;
20614 static void __Pyx_WriteUnraisable(
const char *name, CYTHON_UNUSED
int clineno,
20615 CYTHON_UNUSED
int lineno, CYTHON_UNUSED
const char *filename,
20616 int full_traceback, CYTHON_UNUSED
int nogil) {
20617 PyObject *old_exc, *old_val, *old_tb;
20619 __Pyx_PyThreadState_declare
20621 PyGILState_STATE state;
20623 state = PyGILState_Ensure();
20625 else state = (PyGILState_STATE)-1;
20628 __Pyx_PyThreadState_assign
20629 __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
20630 if (full_traceback) {
20631 Py_XINCREF(old_exc);
20632 Py_XINCREF(old_val);
20633 Py_XINCREF(old_tb);
20634 __Pyx_ErrRestore(old_exc, old_val, old_tb);
20637 #if PY_MAJOR_VERSION < 3 20638 ctx = PyString_FromString(name);
20640 ctx = PyUnicode_FromString(name);
20642 __Pyx_ErrRestore(old_exc, old_val, old_tb);
20644 PyErr_WriteUnraisable(Py_None);
20646 PyErr_WriteUnraisable(ctx);
20651 PyGILState_Release(state);
20656 #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS 20657 static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *
obj) {
20658 PyObject *dict = Py_TYPE(
obj)->tp_dict;
20659 return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
20661 static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *
obj) {
20662 PyObject **dictptr = NULL;
20663 Py_ssize_t offset = Py_TYPE(
obj)->tp_dictoffset;
20665 #if CYTHON_COMPILING_IN_CPYTHON 20666 dictptr = (likely(offset > 0)) ? (PyObject **) ((
char *)
obj + offset) : _PyObject_GetDictPtr(
obj);
20668 dictptr = _PyObject_GetDictPtr(
obj);
20671 return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
20673 static CYTHON_INLINE
int __Pyx_object_dict_version_matches(PyObject*
obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
20674 PyObject *dict = Py_TYPE(
obj)->tp_dict;
20675 if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
20677 return obj_dict_version == __Pyx_get_object_dict_version(
obj);
20682 #if CYTHON_COMPILING_IN_CPYTHON 20683 static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
20684 #if CYTHON_FAST_PYCALL 20685 if (PyFunction_Check(func)) {
20686 return __Pyx_PyFunction_FastCall(func, NULL, 0);
20689 #ifdef __Pyx_CyFunction_USED 20690 if (likely(PyCFunction_Check(func) || __Pyx_CyFunction_Check(func)))
20692 if (likely(PyCFunction_Check(func)))
20695 if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
20696 return __Pyx_PyObject_CallMethO(func, NULL);
20699 return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
20704 static void __Pyx_RaiseDoubleKeywordsError(
20705 const char* func_name,
20708 PyErr_Format(PyExc_TypeError,
20709 #
if PY_MAJOR_VERSION >= 3
20710 "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
20712 "%s() got multiple values for keyword argument '%s'", func_name,
20713 PyString_AsString(kw_name));
20718 static int __Pyx_ParseOptionalKeywords(
20720 PyObject **argnames[],
20722 PyObject *values[],
20723 Py_ssize_t num_pos_args,
20724 const char* function_name)
20726 PyObject *key = 0, *value = 0;
20727 Py_ssize_t pos = 0;
20729 PyObject*** first_kw_arg = argnames + num_pos_args;
20730 while (PyDict_Next(kwds, &pos, &key, &value)) {
20731 name = first_kw_arg;
20732 while (*name && (**name != key)) name++;
20734 values[name-argnames] = value;
20737 name = first_kw_arg;
20738 #if PY_MAJOR_VERSION < 3 20739 if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) {
20741 if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
20742 && _PyString_Eq(**name, key)) {
20743 values[name-argnames] = value;
20748 if (*name)
continue;
20750 PyObject*** argname = argnames;
20751 while (argname != first_kw_arg) {
20752 if ((**argname == key) || (
20753 (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
20754 && _PyString_Eq(**argname, key))) {
20755 goto arg_passed_twice;
20762 if (likely(PyUnicode_Check(key))) {
20764 int cmp = (**name == key) ? 0 :
20765 #
if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
20766 (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
20768 PyUnicode_Compare(**name, key);
20769 if (cmp < 0 && unlikely(PyErr_Occurred()))
goto bad;
20771 values[name-argnames] = value;
20776 if (*name)
continue;
20778 PyObject*** argname = argnames;
20779 while (argname != first_kw_arg) {
20780 int cmp = (**argname == key) ? 0 :
20781 #
if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
20782 (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
20784 PyUnicode_Compare(**argname, key);
20785 if (cmp < 0 && unlikely(PyErr_Occurred()))
goto bad;
20786 if (cmp == 0)
goto arg_passed_twice;
20791 goto invalid_keyword_type;
20793 if (unlikely(PyDict_SetItem(kwds2, key, value)))
goto bad;
20795 goto invalid_keyword;
20800 __Pyx_RaiseDoubleKeywordsError(function_name, key);
20802 invalid_keyword_type:
20803 PyErr_Format(PyExc_TypeError,
20804 "%.200s() keywords must be strings", function_name);
20807 PyErr_Format(PyExc_TypeError,
20808 #
if PY_MAJOR_VERSION < 3
20809 "%.200s() got an unexpected keyword argument '%.200s'",
20810 function_name, PyString_AsString(key));
20812 "%s() got an unexpected keyword argument '%U'",
20813 function_name, key);
20820 static void __Pyx_RaiseArgtupleInvalid(
20821 const char* func_name,
20823 Py_ssize_t num_min,
20824 Py_ssize_t num_max,
20825 Py_ssize_t num_found)
20827 Py_ssize_t num_expected;
20828 const char *more_or_less;
20829 if (num_found < num_min) {
20830 num_expected = num_min;
20831 more_or_less =
"at least";
20833 num_expected = num_max;
20834 more_or_less =
"at most";
20837 more_or_less =
"exactly";
20839 PyErr_Format(PyExc_TypeError,
20840 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T
"d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T
"d given)",
20841 func_name, more_or_less, num_expected,
20842 (num_expected == 1) ?
"" :
"s", num_found);
20846 #if CYTHON_USE_DICT_VERSIONS 20847 static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
20849 static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
20853 #if !CYTHON_AVOID_BORROWED_REFS 20854 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 20855 result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
20856 __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
20857 if (likely(result)) {
20858 return __Pyx_NewRef(result);
20859 }
else if (unlikely(PyErr_Occurred())) {
20863 result = PyDict_GetItem(__pyx_d, name);
20864 __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
20865 if (likely(result)) {
20866 return __Pyx_NewRef(result);
20870 result = PyObject_GetItem(__pyx_d, name);
20871 __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
20872 if (likely(result)) {
20873 return __Pyx_NewRef(result);
20877 return __Pyx_GetBuiltinName(name);
20881 #if CYTHON_USE_EXC_INFO_STACK 20882 static _PyErr_StackItem *
20883 __Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
20885 _PyErr_StackItem *exc_info = tstate->exc_info;
20886 while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
20887 exc_info->previous_item != NULL)
20889 exc_info = exc_info->previous_item;
20896 #if CYTHON_FAST_THREAD_STATE 20897 static CYTHON_INLINE
void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
20898 #if CYTHON_USE_EXC_INFO_STACK 20899 _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
20900 *type = exc_info->exc_type;
20901 *value = exc_info->exc_value;
20902 *tb = exc_info->exc_traceback;
20904 *type = tstate->exc_type;
20905 *value = tstate->exc_value;
20906 *tb = tstate->exc_traceback;
20909 Py_XINCREF(*value);
20912 static CYTHON_INLINE
void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
20913 PyObject *tmp_type, *tmp_value, *tmp_tb;
20914 #if CYTHON_USE_EXC_INFO_STACK 20915 _PyErr_StackItem *exc_info = tstate->exc_info;
20916 tmp_type = exc_info->exc_type;
20917 tmp_value = exc_info->exc_value;
20918 tmp_tb = exc_info->exc_traceback;
20919 exc_info->exc_type = type;
20920 exc_info->exc_value = value;
20921 exc_info->exc_traceback = tb;
20923 tmp_type = tstate->exc_type;
20924 tmp_value = tstate->exc_value;
20925 tmp_tb = tstate->exc_traceback;
20926 tstate->exc_type = type;
20927 tstate->exc_value = value;
20928 tstate->exc_traceback = tb;
20930 Py_XDECREF(tmp_type);
20931 Py_XDECREF(tmp_value);
20932 Py_XDECREF(tmp_tb);
20937 #if CYTHON_FAST_THREAD_STATE 20938 static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
20940 n = PyTuple_GET_SIZE(tuple);
20941 #if PY_MAJOR_VERSION >= 3 20942 for (
i=0;
i<n;
i++) {
20943 if (exc_type == PyTuple_GET_ITEM(tuple,
i))
return 1;
20946 for (
i=0;
i<n;
i++) {
20947 if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple,
i)))
return 1;
20951 static CYTHON_INLINE
int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
20952 PyObject *exc_type = tstate->curexc_type;
20953 if (exc_type == err)
return 1;
20954 if (unlikely(!exc_type))
return 0;
20955 if (unlikely(PyTuple_Check(err)))
20956 return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
20957 return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
20962 #if CYTHON_FAST_THREAD_STATE 20963 static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
20965 static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
20968 PyObject *local_type, *local_value, *local_tb;
20969 #if CYTHON_FAST_THREAD_STATE 20970 PyObject *tmp_type, *tmp_value, *tmp_tb;
20971 local_type = tstate->curexc_type;
20972 local_value = tstate->curexc_value;
20973 local_tb = tstate->curexc_traceback;
20974 tstate->curexc_type = 0;
20975 tstate->curexc_value = 0;
20976 tstate->curexc_traceback = 0;
20978 PyErr_Fetch(&local_type, &local_value, &local_tb);
20980 PyErr_NormalizeException(&local_type, &local_value, &local_tb);
20981 #if CYTHON_FAST_THREAD_STATE 20982 if (unlikely(tstate->curexc_type))
20984 if (unlikely(PyErr_Occurred()))
20987 #if PY_MAJOR_VERSION >= 3 20989 if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
20993 Py_XINCREF(local_tb);
20994 Py_XINCREF(local_type);
20995 Py_XINCREF(local_value);
20996 *type = local_type;
20997 *value = local_value;
20999 #if CYTHON_FAST_THREAD_STATE 21000 #if CYTHON_USE_EXC_INFO_STACK 21002 _PyErr_StackItem *exc_info = tstate->exc_info;
21003 tmp_type = exc_info->exc_type;
21004 tmp_value = exc_info->exc_value;
21005 tmp_tb = exc_info->exc_traceback;
21006 exc_info->exc_type = local_type;
21007 exc_info->exc_value = local_value;
21008 exc_info->exc_traceback = local_tb;
21011 tmp_type = tstate->exc_type;
21012 tmp_value = tstate->exc_value;
21013 tmp_tb = tstate->exc_traceback;
21014 tstate->exc_type = local_type;
21015 tstate->exc_value = local_value;
21016 tstate->exc_traceback = local_tb;
21018 Py_XDECREF(tmp_type);
21019 Py_XDECREF(tmp_value);
21020 Py_XDECREF(tmp_tb);
21022 PyErr_SetExcInfo(local_type, local_value, local_tb);
21029 Py_XDECREF(local_type);
21030 Py_XDECREF(local_value);
21031 Py_XDECREF(local_tb);
21036 #if PY_MAJOR_VERSION < 3 21037 static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
21038 CYTHON_UNUSED PyObject *cause) {
21039 __Pyx_PyThreadState_declare
21041 if (!value || value == Py_None)
21045 if (!tb || tb == Py_None)
21049 if (!PyTraceBack_Check(tb)) {
21050 PyErr_SetString(PyExc_TypeError,
21051 "raise: arg 3 must be a traceback or None");
21055 if (PyType_Check(type)) {
21056 #if CYTHON_COMPILING_IN_PYPY 21058 Py_INCREF(Py_None);
21062 PyErr_NormalizeException(&type, &value, &tb);
21065 PyErr_SetString(PyExc_TypeError,
21066 "instance exception may not have a separate value");
21070 type = (PyObject*) Py_TYPE(type);
21072 if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
21073 PyErr_SetString(PyExc_TypeError,
21074 "raise: exception class must be a subclass of BaseException");
21078 __Pyx_PyThreadState_assign
21079 __Pyx_ErrRestore(type, value, tb);
21088 static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
21089 PyObject* owned_instance = NULL;
21090 if (tb == Py_None) {
21092 }
else if (tb && !PyTraceBack_Check(tb)) {
21093 PyErr_SetString(PyExc_TypeError,
21094 "raise: arg 3 must be a traceback or None");
21097 if (value == Py_None)
21099 if (PyExceptionInstance_Check(type)) {
21101 PyErr_SetString(PyExc_TypeError,
21102 "instance exception may not have a separate value");
21106 type = (PyObject*) Py_TYPE(value);
21107 }
else if (PyExceptionClass_Check(type)) {
21108 PyObject *instance_class = NULL;
21109 if (value && PyExceptionInstance_Check(value)) {
21110 instance_class = (PyObject*) Py_TYPE(value);
21111 if (instance_class != type) {
21112 int is_subclass = PyObject_IsSubclass(instance_class, type);
21113 if (!is_subclass) {
21114 instance_class = NULL;
21115 }
else if (unlikely(is_subclass == -1)) {
21118 type = instance_class;
21122 if (!instance_class) {
21125 args = PyTuple_New(0);
21126 else if (PyTuple_Check(value)) {
21130 args = PyTuple_Pack(1, value);
21133 owned_instance = PyObject_Call(type, args, NULL);
21135 if (!owned_instance)
21137 value = owned_instance;
21138 if (!PyExceptionInstance_Check(value)) {
21139 PyErr_Format(PyExc_TypeError,
21140 "calling %R should have returned an instance of " 21141 "BaseException, not %R",
21142 type, Py_TYPE(value));
21147 PyErr_SetString(PyExc_TypeError,
21148 "raise: exception class must be a subclass of BaseException");
21152 PyObject *fixed_cause;
21153 if (cause == Py_None) {
21154 fixed_cause = NULL;
21155 }
else if (PyExceptionClass_Check(cause)) {
21156 fixed_cause = PyObject_CallObject(cause, NULL);
21157 if (fixed_cause == NULL)
21159 }
else if (PyExceptionInstance_Check(cause)) {
21160 fixed_cause = cause;
21161 Py_INCREF(fixed_cause);
21163 PyErr_SetString(PyExc_TypeError,
21164 "exception causes must derive from " 21168 PyException_SetCause(value, fixed_cause);
21170 PyErr_SetObject(type, value);
21172 #if CYTHON_COMPILING_IN_PYPY 21173 PyObject *tmp_type, *tmp_value, *tmp_tb;
21174 PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
21176 PyErr_Restore(tmp_type, tmp_value, tb);
21177 Py_XDECREF(tmp_tb);
21179 PyThreadState *tstate = __Pyx_PyThreadState_Current;
21180 PyObject* tmp_tb = tstate->curexc_traceback;
21181 if (tb != tmp_tb) {
21183 tstate->curexc_traceback = tb;
21184 Py_XDECREF(tmp_tb);
21189 Py_XDECREF(owned_instance);
21195 #if !CYTHON_COMPILING_IN_PYPY 21196 static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED
long intval,
int inplace,
int zerodivision_check) {
21198 (void)zerodivision_check;
21199 #if PY_MAJOR_VERSION < 3 21200 if (likely(PyInt_CheckExact(op1))) {
21201 const long b = intval;
21203 long a = PyInt_AS_LONG(op1);
21204 x = (long)((
unsigned long)a + b);
21205 if (likely((x^a) >= 0 || (x^b) >= 0))
21206 return PyInt_FromLong(x);
21207 return PyLong_Type.tp_as_number->nb_add(op1, op2);
21210 #if CYTHON_USE_PYLONG_INTERNALS 21211 if (likely(PyLong_CheckExact(op1))) {
21212 const long b = intval;
21214 #ifdef HAVE_LONG_LONG 21215 const PY_LONG_LONG llb = intval;
21216 PY_LONG_LONG lla, llx;
21218 const digit* digits = ((PyLongObject*)op1)->ob_digit;
21219 const Py_ssize_t size = Py_SIZE(op1);
21220 if (likely(__Pyx_sst_abs(size) <= 1)) {
21221 a = likely(size) ? digits[0] : 0;
21222 if (size == -1) a = -a;
21226 if (8 *
sizeof(
long) - 1 > 2 * PyLong_SHIFT) {
21227 a = -(long) (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21229 #ifdef HAVE_LONG_LONG 21230 }
else if (8 *
sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
21231 lla = -(PY_LONG_LONG) (((((
unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[0]));
21235 CYTHON_FALLTHROUGH;
21237 if (8 *
sizeof(
long) - 1 > 2 * PyLong_SHIFT) {
21238 a = (long) (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21240 #ifdef HAVE_LONG_LONG 21241 }
else if (8 *
sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
21242 lla = (PY_LONG_LONG) (((((
unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[0]));
21246 CYTHON_FALLTHROUGH;
21248 if (8 *
sizeof(
long) - 1 > 3 * PyLong_SHIFT) {
21249 a = -(long) (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21251 #ifdef HAVE_LONG_LONG 21252 }
else if (8 *
sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
21253 lla = -(PY_LONG_LONG) (((((((
unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[0]));
21257 CYTHON_FALLTHROUGH;
21259 if (8 *
sizeof(
long) - 1 > 3 * PyLong_SHIFT) {
21260 a = (long) (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21262 #ifdef HAVE_LONG_LONG 21263 }
else if (8 *
sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
21264 lla = (PY_LONG_LONG) (((((((
unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[0]));
21268 CYTHON_FALLTHROUGH;
21270 if (8 *
sizeof(
long) - 1 > 4 * PyLong_SHIFT) {
21271 a = -(long) (((((((((
unsigned long)digits[3]) << PyLong_SHIFT) | (
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21273 #ifdef HAVE_LONG_LONG 21274 }
else if (8 *
sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
21275 lla = -(PY_LONG_LONG) (((((((((
unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[0]));
21279 CYTHON_FALLTHROUGH;
21281 if (8 *
sizeof(
long) - 1 > 4 * PyLong_SHIFT) {
21282 a = (long) (((((((((
unsigned long)digits[3]) << PyLong_SHIFT) | (
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21284 #ifdef HAVE_LONG_LONG 21285 }
else if (8 *
sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
21286 lla = (PY_LONG_LONG) (((((((((
unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[0]));
21290 CYTHON_FALLTHROUGH;
21291 default:
return PyLong_Type.tp_as_number->nb_add(op1, op2);
21295 return PyLong_FromLong(x);
21296 #ifdef HAVE_LONG_LONG 21299 return PyLong_FromLongLong(llx);
21305 if (PyFloat_CheckExact(op1)) {
21306 const long b = intval;
21307 double a = PyFloat_AS_DOUBLE(op1);
21309 PyFPE_START_PROTECT(
"add",
return NULL)
21310 result = ((double)a) + (double)b;
21311 PyFPE_END_PROTECT(result)
21314 return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
21319 static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
21322 r = PyObject_SetItem(o, j, v);
21326 static CYTHON_INLINE
int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t
i, PyObject *v,
int is_list,
21327 CYTHON_NCP_UNUSED
int wraparound, CYTHON_NCP_UNUSED
int boundscheck) {
21328 #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS 21329 if (is_list || PyList_CheckExact(o)) {
21330 Py_ssize_t n = (!wraparound) ?
i : ((likely(
i >= 0)) ?
i :
i + PyList_GET_SIZE(o));
21331 if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
21332 PyObject* old = PyList_GET_ITEM(o, n);
21334 PyList_SET_ITEM(o, n, v);
21339 PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
21340 if (likely(m && m->sq_ass_item)) {
21341 if (wraparound && unlikely(
i < 0) && likely(m->sq_length)) {
21342 Py_ssize_t l = m->sq_length(o);
21343 if (likely(l >= 0)) {
21346 if (!PyErr_ExceptionMatches(PyExc_OverflowError))
21351 return m->sq_ass_item(o,
i, v);
21355 #if CYTHON_COMPILING_IN_PYPY 21356 if (is_list || (PySequence_Check(o) && !PyDict_Check(o)))
21358 if (is_list || PySequence_Check(o))
21361 return PySequence_SetItem(o,
i, v);
21364 return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(
i), v);
21368 static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject*
function, PyObject* arg1, PyObject* arg2) {
21369 PyObject *args, *result = NULL;
21370 #if CYTHON_FAST_PYCALL 21371 if (PyFunction_Check(
function)) {
21372 PyObject *args[2] = {arg1, arg2};
21373 return __Pyx_PyFunction_FastCall(
function, args, 2);
21376 #if CYTHON_FAST_PYCCALL 21377 if (__Pyx_PyFastCFunction_Check(
function)) {
21378 PyObject *args[2] = {arg1, arg2};
21379 return __Pyx_PyCFunction_FastCall(
function, args, 2);
21382 args = PyTuple_New(2);
21383 if (unlikely(!args))
goto done;
21385 PyTuple_SET_ITEM(args, 0, arg1);
21387 PyTuple_SET_ITEM(args, 1, arg2);
21388 Py_INCREF(
function);
21389 result = __Pyx_PyObject_Call(
function, args, NULL);
21391 Py_DECREF(
function);
21397 static int __Pyx__ArgTypeTest(PyObject *
obj, PyTypeObject *type,
const char *name,
int exact)
21399 if (unlikely(!type)) {
21400 PyErr_SetString(PyExc_SystemError,
"Missing type object");
21404 #if PY_MAJOR_VERSION == 2 21405 if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(
obj)))
return 1;
21409 if (likely(__Pyx_TypeCheck(
obj, type)))
return 1;
21411 PyErr_Format(PyExc_TypeError,
21412 "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
21413 name, type->tp_name, Py_TYPE(
obj)->tp_name);
21418 static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list,
int level) {
21419 PyObject *empty_list = 0;
21420 PyObject *module = 0;
21421 PyObject *global_dict = 0;
21422 PyObject *empty_dict = 0;
21424 #if PY_MAJOR_VERSION < 3 21425 PyObject *py_import;
21426 py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
21433 empty_list = PyList_New(0);
21438 global_dict = PyModule_GetDict(__pyx_m);
21441 empty_dict = PyDict_New();
21445 #if PY_MAJOR_VERSION >= 3 21447 if (strchr(__Pyx_MODULE_NAME,
'.')) {
21448 module = PyImport_ImportModuleLevelObject(
21449 name, global_dict, empty_dict, list, 1);
21451 if (!PyErr_ExceptionMatches(PyExc_ImportError))
21460 #if PY_MAJOR_VERSION < 3 21461 PyObject *py_level = PyInt_FromLong(level);
21464 module = PyObject_CallFunctionObjArgs(py_import,
21465 name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
21466 Py_DECREF(py_level);
21468 module = PyImport_ImportModuleLevelObject(
21469 name, global_dict, empty_dict, list, level);
21474 #if PY_MAJOR_VERSION < 3 21475 Py_XDECREF(py_import);
21477 Py_XDECREF(empty_list);
21478 Py_XDECREF(empty_dict);
21483 #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000 21484 static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
21485 PyErr_Format(PyExc_AttributeError,
21486 #
if PY_MAJOR_VERSION >= 3
21487 "'%.50s' object has no attribute '%U'",
21488 tp->tp_name, attr_name);
21490 "'%.50s' object has no attribute '%.400s'",
21491 tp->tp_name, PyString_AS_STRING(attr_name));
21495 static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject*
obj, PyObject* attr_name) {
21497 PyTypeObject *tp = Py_TYPE(
obj);
21498 if (unlikely(!PyString_Check(attr_name))) {
21499 return PyObject_GenericGetAttr(
obj, attr_name);
21501 assert(!tp->tp_dictoffset);
21502 descr = _PyType_Lookup(tp, attr_name);
21503 if (unlikely(!descr)) {
21504 return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
21507 #if PY_MAJOR_VERSION < 3 21508 if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
21511 descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
21513 PyObject *res = f(descr,
obj, (PyObject *)tp);
21523 #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000 21524 static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject*
obj, PyObject* attr_name) {
21525 if (unlikely(Py_TYPE(
obj)->tp_dictoffset)) {
21526 return PyObject_GenericGetAttr(
obj, attr_name);
21528 return __Pyx_PyObject_GenericGetAttrNoDict(
obj, attr_name);
21533 static int __Pyx_SetVtable(PyObject *dict,
void *vtable) {
21534 #if PY_VERSION_HEX >= 0x02070000 21535 PyObject *ob = PyCapsule_New(vtable, 0, 0);
21537 PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
21541 if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
21551 static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
21553 PyObject *name_attr;
21554 name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name);
21555 if (likely(name_attr)) {
21556 ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
21560 if (unlikely(ret < 0)) {
21564 Py_XDECREF(name_attr);
21567 static int __Pyx_setup_reduce(PyObject* type_obj) {
21569 PyObject *object_reduce = NULL;
21570 PyObject *object_reduce_ex = NULL;
21571 PyObject *reduce = NULL;
21572 PyObject *reduce_ex = NULL;
21573 PyObject *reduce_cython = NULL;
21574 PyObject *setstate = NULL;
21575 PyObject *setstate_cython = NULL;
21576 #if CYTHON_USE_PYTYPE_LOOKUP 21577 if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate))
goto GOOD;
21579 if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate))
goto GOOD;
21581 #if CYTHON_USE_PYTYPE_LOOKUP 21582 object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex);
if (!object_reduce_ex)
goto BAD;
21584 object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex);
if (!object_reduce_ex)
goto BAD;
21586 reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex);
if (unlikely(!reduce_ex))
goto BAD;
21587 if (reduce_ex == object_reduce_ex) {
21588 #if CYTHON_USE_PYTYPE_LOOKUP 21589 object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce);
if (!object_reduce)
goto BAD;
21591 object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce);
if (!object_reduce)
goto BAD;
21593 reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce);
if (unlikely(!reduce))
goto BAD;
21594 if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
21595 reduce_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_cython);
if (unlikely(!reduce_cython))
goto BAD;
21596 ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython);
if (unlikely(ret < 0))
goto BAD;
21597 ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython);
if (unlikely(ret < 0))
goto BAD;
21598 setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
21599 if (!setstate) PyErr_Clear();
21600 if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
21601 setstate_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate_cython);
if (unlikely(!setstate_cython))
goto BAD;
21602 ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython);
if (unlikely(ret < 0))
goto BAD;
21603 ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython);
if (unlikely(ret < 0))
goto BAD;
21605 PyType_Modified((PyTypeObject*)type_obj);
21610 if (!PyErr_Occurred())
21611 PyErr_Format(PyExc_RuntimeError,
"Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
21614 #if !CYTHON_USE_PYTYPE_LOOKUP 21615 Py_XDECREF(object_reduce);
21616 Py_XDECREF(object_reduce_ex);
21618 Py_XDECREF(reduce);
21619 Py_XDECREF(reduce_ex);
21620 Py_XDECREF(reduce_cython);
21621 Py_XDECREF(setstate);
21622 Py_XDECREF(setstate_cython);
21627 #if !CYTHON_COMPILING_IN_PYPY 21628 static PyObject* __Pyx_PyFloat_DivideObjC(PyObject *op1, PyObject *op2,
double floatval,
int inplace,
int zerodivision_check) {
21629 const double b = floatval;
21632 (void)zerodivision_check;
21633 if (likely(PyFloat_CheckExact(op1))) {
21634 a = PyFloat_AS_DOUBLE(op1);
21637 #if PY_MAJOR_VERSION < 3 21638 if (likely(PyInt_CheckExact(op1))) {
21639 a = (double) PyInt_AS_LONG(op1);
21643 if (likely(PyLong_CheckExact(op1))) {
21644 #if CYTHON_USE_PYLONG_INTERNALS 21645 const digit* digits = ((PyLongObject*)op1)->ob_digit;
21646 const Py_ssize_t size = Py_SIZE(op1);
21648 case 0: a = 0.0;
break;
21649 case -1: a = -(double) digits[0];
break;
21650 case 1: a = (double) digits[0];
break;
21653 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT && ((8 *
sizeof(
unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
21654 a = (double) (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21655 if ((8 *
sizeof(
unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
21661 CYTHON_FALLTHROUGH;
21664 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT && ((8 *
sizeof(
unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
21665 a = (double) (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21666 if ((8 *
sizeof(
unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
21672 CYTHON_FALLTHROUGH;
21675 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT && ((8 *
sizeof(
unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
21676 a = (double) (((((((((
unsigned long)digits[3]) << PyLong_SHIFT) | (
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21677 if ((8 *
sizeof(
unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
21683 CYTHON_FALLTHROUGH;
21688 a = PyLong_AsDouble(op1);
21689 if (unlikely(a == -1.0 && PyErr_Occurred()))
return NULL;
21693 return (inplace ? __Pyx_PyNumber_InPlaceDivide(op1, op2) : __Pyx_PyNumber_Divide(op1, op2));
21696 PyFPE_START_PROTECT(
"divide",
return NULL)
21698 PyFPE_END_PROTECT(result)
21704 static CYTHON_INLINE
int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2,
int equals) {
21705 #if CYTHON_COMPILING_IN_PYPY 21706 return PyObject_RichCompareBool(s1, s2, equals);
21709 return (equals == Py_EQ);
21710 }
else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
21711 const char *ps1, *ps2;
21712 Py_ssize_t length = PyBytes_GET_SIZE(s1);
21713 if (length != PyBytes_GET_SIZE(s2))
21714 return (equals == Py_NE);
21715 ps1 = PyBytes_AS_STRING(s1);
21716 ps2 = PyBytes_AS_STRING(s2);
21717 if (ps1[0] != ps2[0]) {
21718 return (equals == Py_NE);
21719 }
else if (length == 1) {
21720 return (equals == Py_EQ);
21723 #if CYTHON_USE_UNICODE_INTERNALS 21724 Py_hash_t hash1, hash2;
21725 hash1 = ((PyBytesObject*)s1)->ob_shash;
21726 hash2 = ((PyBytesObject*)s2)->ob_shash;
21727 if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
21728 return (equals == Py_NE);
21731 result = memcmp(ps1, ps2, (
size_t)length);
21732 return (equals == Py_EQ) ? (result == 0) : (result != 0);
21734 }
else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
21735 return (equals == Py_NE);
21736 }
else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
21737 return (equals == Py_NE);
21740 PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
21743 result = __Pyx_PyObject_IsTrue(py_result);
21744 Py_DECREF(py_result);
21751 static CYTHON_INLINE
int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2,
int equals) {
21752 #if CYTHON_COMPILING_IN_PYPY 21753 return PyObject_RichCompareBool(s1, s2, equals);
21755 #if PY_MAJOR_VERSION < 3 21756 PyObject* owned_ref = NULL;
21758 int s1_is_unicode, s2_is_unicode;
21762 s1_is_unicode = PyUnicode_CheckExact(s1);
21763 s2_is_unicode = PyUnicode_CheckExact(s2);
21764 #if PY_MAJOR_VERSION < 3 21765 if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
21766 owned_ref = PyUnicode_FromObject(s2);
21767 if (unlikely(!owned_ref))
21771 }
else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
21772 owned_ref = PyUnicode_FromObject(s1);
21773 if (unlikely(!owned_ref))
21777 }
else if (((!s2_is_unicode) & (!s1_is_unicode))) {
21778 return __Pyx_PyBytes_Equals(s1, s2, equals);
21781 if (s1_is_unicode & s2_is_unicode) {
21784 void *data1, *data2;
21785 if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
21787 length = __Pyx_PyUnicode_GET_LENGTH(s1);
21788 if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
21791 #if CYTHON_USE_UNICODE_INTERNALS 21793 Py_hash_t hash1, hash2;
21794 #if CYTHON_PEP393_ENABLED 21795 hash1 = ((PyASCIIObject*)s1)->hash;
21796 hash2 = ((PyASCIIObject*)s2)->hash;
21798 hash1 = ((PyUnicodeObject*)s1)->hash;
21799 hash2 = ((PyUnicodeObject*)s2)->hash;
21801 if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
21806 kind = __Pyx_PyUnicode_KIND(s1);
21807 if (kind != __Pyx_PyUnicode_KIND(s2)) {
21810 data1 = __Pyx_PyUnicode_DATA(s1);
21811 data2 = __Pyx_PyUnicode_DATA(s2);
21812 if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
21814 }
else if (length == 1) {
21817 int result = memcmp(data1, data2, (
size_t)(length * kind));
21818 #if PY_MAJOR_VERSION < 3 21819 Py_XDECREF(owned_ref);
21821 return (equals == Py_EQ) ? (result == 0) : (result != 0);
21823 }
else if ((s1 == Py_None) & s2_is_unicode) {
21825 }
else if ((s2 == Py_None) & s1_is_unicode) {
21829 PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
21830 #if PY_MAJOR_VERSION < 3 21831 Py_XDECREF(owned_ref);
21835 result = __Pyx_PyObject_IsTrue(py_result);
21836 Py_DECREF(py_result);
21840 #if PY_MAJOR_VERSION < 3 21841 Py_XDECREF(owned_ref);
21843 return (equals == Py_EQ);
21845 #if PY_MAJOR_VERSION < 3 21846 Py_XDECREF(owned_ref);
21848 return (equals == Py_NE);
21853 #ifndef CYTHON_CLINE_IN_TRACEBACK 21854 static int __Pyx_CLineForTraceback(PyThreadState *tstate,
int c_line) {
21855 PyObject *use_cline;
21856 PyObject *ptype, *pvalue, *ptraceback;
21857 #if CYTHON_COMPILING_IN_CPYTHON 21858 PyObject **cython_runtime_dict;
21860 if (unlikely(!__pyx_cython_runtime)) {
21863 __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
21864 #if CYTHON_COMPILING_IN_CPYTHON 21865 cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
21866 if (likely(cython_runtime_dict)) {
21867 __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
21868 use_cline, *cython_runtime_dict,
21869 __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
21873 PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
21874 if (use_cline_obj) {
21875 use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
21876 Py_DECREF(use_cline_obj);
21884 PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
21886 else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
21889 __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
21895 static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries,
int count,
int code_line) {
21896 int start = 0, mid = 0, end = count - 1;
21897 if (end >= 0 && code_line > entries[end].code_line) {
21900 while (start < end) {
21901 mid = start + (end - start) / 2;
21902 if (code_line < entries[mid].code_line) {
21904 }
else if (code_line > entries[mid].code_line) {
21910 if (code_line <= entries[mid].code_line) {
21916 static PyCodeObject *__pyx_find_code_object(
int code_line) {
21917 PyCodeObject* code_object;
21919 if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
21922 pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
21923 if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
21926 code_object = __pyx_code_cache.entries[pos].code_object;
21927 Py_INCREF(code_object);
21928 return code_object;
21930 static void __pyx_insert_code_object(
int code_line, PyCodeObject* code_object) {
21932 __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
21933 if (unlikely(!code_line)) {
21936 if (unlikely(!entries)) {
21937 entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*
sizeof(__Pyx_CodeObjectCacheEntry));
21938 if (likely(entries)) {
21939 __pyx_code_cache.entries = entries;
21940 __pyx_code_cache.max_count = 64;
21941 __pyx_code_cache.count = 1;
21942 entries[0].code_line = code_line;
21943 entries[0].code_object = code_object;
21944 Py_INCREF(code_object);
21948 pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
21949 if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
21950 PyCodeObject* tmp = entries[pos].code_object;
21951 entries[pos].code_object = code_object;
21955 if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
21956 int new_max = __pyx_code_cache.max_count + 64;
21957 entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
21958 __pyx_code_cache.entries, (
size_t)new_max*
sizeof(__Pyx_CodeObjectCacheEntry));
21959 if (unlikely(!entries)) {
21962 __pyx_code_cache.entries = entries;
21963 __pyx_code_cache.max_count = new_max;
21965 for (
i=__pyx_code_cache.count;
i>pos;
i--) {
21966 entries[
i] = entries[
i-1];
21968 entries[pos].code_line = code_line;
21969 entries[pos].code_object = code_object;
21970 __pyx_code_cache.count++;
21971 Py_INCREF(code_object);
21975 #include "compile.h" 21976 #include "frameobject.h" 21977 #include "traceback.h" 21978 static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
21979 const char *funcname,
int c_line,
21980 int py_line,
const char *filename) {
21981 PyCodeObject *py_code = 0;
21982 PyObject *py_srcfile = 0;
21983 PyObject *py_funcname = 0;
21984 #if PY_MAJOR_VERSION < 3 21985 py_srcfile = PyString_FromString(filename);
21987 py_srcfile = PyUnicode_FromString(filename);
21989 if (!py_srcfile)
goto bad;
21991 #if PY_MAJOR_VERSION < 3 21992 py_funcname = PyString_FromFormat(
"%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
21994 py_funcname = PyUnicode_FromFormat(
"%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
21998 #if PY_MAJOR_VERSION < 3 21999 py_funcname = PyString_FromString(funcname);
22001 py_funcname = PyUnicode_FromString(funcname);
22004 if (!py_funcname)
goto bad;
22005 py_code = __Pyx_PyCode_New(
22022 Py_DECREF(py_srcfile);
22023 Py_DECREF(py_funcname);
22026 Py_XDECREF(py_srcfile);
22027 Py_XDECREF(py_funcname);
22030 static void __Pyx_AddTraceback(
const char *funcname,
int c_line,
22031 int py_line,
const char *filename) {
22032 PyCodeObject *py_code = 0;
22033 PyFrameObject *py_frame = 0;
22034 PyThreadState *tstate = __Pyx_PyThreadState_Current;
22036 c_line = __Pyx_CLineForTraceback(tstate, c_line);
22038 py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
22040 py_code = __Pyx_CreateCodeObjectForTraceback(
22041 funcname, c_line, py_line, filename);
22042 if (!py_code)
goto bad;
22043 __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
22045 py_frame = PyFrame_New(
22051 if (!py_frame)
goto bad;
22052 __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
22053 PyTraceBack_Here(py_frame);
22055 Py_XDECREF(py_code);
22056 Py_XDECREF(py_frame);
22060 #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\ 22061 __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0) 22062 #define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\ 22063 __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1) 22064 #define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\ 22066 func_type value = func_value;\ 22067 if (sizeof(target_type) < sizeof(func_type)) {\ 22068 if (unlikely(value != (func_type) (target_type) value)) {\ 22069 func_type zero = 0;\ 22070 if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\ 22071 return (target_type) -1;\ 22072 if (is_unsigned && unlikely(value < zero))\ 22073 goto raise_neg_overflow;\ 22075 goto raise_overflow;\ 22078 return (target_type) value;\ 22082 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(
int value) {
22083 const int neg_one = (int) ((
int) 0 - (int) 1), const_zero = (int) 0;
22084 const int is_unsigned = neg_one > const_zero;
22086 if (
sizeof(
int) <
sizeof(long)) {
22087 return PyInt_FromLong((
long) value);
22088 }
else if (
sizeof(
int) <=
sizeof(
unsigned long)) {
22089 return PyLong_FromUnsignedLong((
unsigned long) value);
22090 #ifdef HAVE_LONG_LONG 22091 }
else if (
sizeof(
int) <=
sizeof(
unsigned PY_LONG_LONG)) {
22092 return PyLong_FromUnsignedLongLong((
unsigned PY_LONG_LONG) value);
22096 if (
sizeof(
int) <=
sizeof(
long)) {
22097 return PyInt_FromLong((
long) value);
22098 #ifdef HAVE_LONG_LONG 22099 }
else if (
sizeof(
int) <=
sizeof(PY_LONG_LONG)) {
22100 return PyLong_FromLongLong((PY_LONG_LONG) value);
22105 int one = 1;
int little = (int)*(
unsigned char *)&one;
22106 unsigned char *bytes = (
unsigned char *)&value;
22107 return _PyLong_FromByteArray(bytes,
sizeof(
int),
22108 little, !is_unsigned);
22113 static CYTHON_INLINE
int __Pyx_PyInt_As_int(PyObject *x) {
22114 const int neg_one = (int) ((
int) 0 - (int) 1), const_zero = (int) 0;
22115 const int is_unsigned = neg_one > const_zero;
22116 #if PY_MAJOR_VERSION < 3 22117 if (likely(PyInt_Check(x))) {
22118 if (
sizeof(
int) <
sizeof(long)) {
22119 __PYX_VERIFY_RETURN_INT(
int,
long, PyInt_AS_LONG(x))
22121 long val = PyInt_AS_LONG(x);
22122 if (is_unsigned && unlikely(val < 0)) {
22123 goto raise_neg_overflow;
22129 if (likely(PyLong_Check(x))) {
22131 #if CYTHON_USE_PYLONG_INTERNALS 22132 const digit* digits = ((PyLongObject*)x)->ob_digit;
22133 switch (Py_SIZE(x)) {
22134 case 0:
return (
int) 0;
22135 case 1: __PYX_VERIFY_RETURN_INT(
int, digit, digits[0])
22137 if (8 *
sizeof(
int) > 1 * PyLong_SHIFT) {
22138 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT) {
22139 __PYX_VERIFY_RETURN_INT(
int,
unsigned long, (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22140 }
else if (8 *
sizeof(
int) >= 2 * PyLong_SHIFT) {
22141 return (
int) (((((int)digits[1]) << PyLong_SHIFT) | (
int)digits[0]));
22146 if (8 *
sizeof(
int) > 2 * PyLong_SHIFT) {
22147 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT) {
22148 __PYX_VERIFY_RETURN_INT(
int,
unsigned long, (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22149 }
else if (8 *
sizeof(
int) >= 3 * PyLong_SHIFT) {
22150 return (
int) (((((((int)digits[2]) << PyLong_SHIFT) | (
int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
22155 if (8 *
sizeof(
int) > 3 * PyLong_SHIFT) {
22156 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT) {
22157 __PYX_VERIFY_RETURN_INT(
int,
unsigned long, (((((((((
unsigned long)digits[3]) << PyLong_SHIFT) | (
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22158 }
else if (8 *
sizeof(
int) >= 4 * PyLong_SHIFT) {
22159 return (
int) (((((((((int)digits[3]) << PyLong_SHIFT) | (
int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (
int)digits[0]));
22165 #if CYTHON_COMPILING_IN_CPYTHON 22166 if (unlikely(Py_SIZE(x) < 0)) {
22167 goto raise_neg_overflow;
22171 int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
22172 if (unlikely(result < 0))
22174 if (unlikely(result == 1))
22175 goto raise_neg_overflow;
22178 if (
sizeof(
int) <=
sizeof(
unsigned long)) {
22179 __PYX_VERIFY_RETURN_INT_EXC(
int,
unsigned long, PyLong_AsUnsignedLong(x))
22180 #ifdef HAVE_LONG_LONG 22181 }
else if (
sizeof(
int) <=
sizeof(
unsigned PY_LONG_LONG)) {
22182 __PYX_VERIFY_RETURN_INT_EXC(
int,
unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
22186 #if CYTHON_USE_PYLONG_INTERNALS 22187 const digit* digits = ((PyLongObject*)x)->ob_digit;
22188 switch (Py_SIZE(x)) {
22189 case 0:
return (
int) 0;
22190 case -1: __PYX_VERIFY_RETURN_INT(
int, sdigit, (sdigit) (-(sdigit)digits[0]))
22191 case 1: __PYX_VERIFY_RETURN_INT(
int, digit, +digits[0])
22193 if (8 *
sizeof(
int) - 1 > 1 * PyLong_SHIFT) {
22194 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT) {
22195 __PYX_VERIFY_RETURN_INT(
int,
long, -(
long) (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22196 }
else if (8 *
sizeof(
int) - 1 > 2 * PyLong_SHIFT) {
22197 return (
int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (
int)digits[0])));
22202 if (8 *
sizeof(
int) > 1 * PyLong_SHIFT) {
22203 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT) {
22204 __PYX_VERIFY_RETURN_INT(
int,
unsigned long, (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22205 }
else if (8 *
sizeof(
int) - 1 > 2 * PyLong_SHIFT) {
22206 return (
int) ((((((int)digits[1]) << PyLong_SHIFT) | (
int)digits[0])));
22211 if (8 *
sizeof(
int) - 1 > 2 * PyLong_SHIFT) {
22212 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT) {
22213 __PYX_VERIFY_RETURN_INT(
int,
long, -(
long) (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22214 }
else if (8 *
sizeof(
int) - 1 > 3 * PyLong_SHIFT) {
22215 return (
int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (
int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
22220 if (8 *
sizeof(
int) > 2 * PyLong_SHIFT) {
22221 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT) {
22222 __PYX_VERIFY_RETURN_INT(
int,
unsigned long, (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22223 }
else if (8 *
sizeof(
int) - 1 > 3 * PyLong_SHIFT) {
22224 return (
int) ((((((((int)digits[2]) << PyLong_SHIFT) | (
int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
22229 if (8 *
sizeof(
int) - 1 > 3 * PyLong_SHIFT) {
22230 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT) {
22231 __PYX_VERIFY_RETURN_INT(
int,
long, -(
long) (((((((((
unsigned long)digits[3]) << PyLong_SHIFT) | (
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22232 }
else if (8 *
sizeof(
int) - 1 > 4 * PyLong_SHIFT) {
22233 return (
int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (
int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (
int)digits[0])));
22238 if (8 *
sizeof(
int) > 3 * PyLong_SHIFT) {
22239 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT) {
22240 __PYX_VERIFY_RETURN_INT(
int,
unsigned long, (((((((((
unsigned long)digits[3]) << PyLong_SHIFT) | (
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22241 }
else if (8 *
sizeof(
int) - 1 > 4 * PyLong_SHIFT) {
22242 return (
int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (
int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (
int)digits[0])));
22248 if (
sizeof(
int) <=
sizeof(long)) {
22249 __PYX_VERIFY_RETURN_INT_EXC(
int,
long, PyLong_AsLong(x))
22250 #ifdef HAVE_LONG_LONG 22251 }
else if (
sizeof(
int) <=
sizeof(PY_LONG_LONG)) {
22252 __PYX_VERIFY_RETURN_INT_EXC(
int, PY_LONG_LONG, PyLong_AsLongLong(x))
22257 #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) 22258 PyErr_SetString(PyExc_RuntimeError,
22259 "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
22262 PyObject *v = __Pyx_PyNumber_IntOrLong(x);
22263 #if PY_MAJOR_VERSION < 3 22264 if (likely(v) && !PyLong_Check(v)) {
22266 v = PyNumber_Long(tmp);
22271 int one = 1;
int is_little = (int)*(
unsigned char *)&one;
22272 unsigned char *bytes = (
unsigned char *)&val;
22273 int ret = _PyLong_AsByteArray((PyLongObject *)v,
22274 bytes,
sizeof(val),
22275 is_little, !is_unsigned);
22285 PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
22286 if (!tmp)
return (
int) -1;
22287 val = __Pyx_PyInt_As_int(tmp);
22292 PyErr_SetString(PyExc_OverflowError,
22293 "value too large to convert to int");
22295 raise_neg_overflow:
22296 PyErr_SetString(PyExc_OverflowError,
22297 "can't convert negative value to int");
22302 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(
long value) {
22303 const long neg_one = (long) ((
long) 0 - (long) 1), const_zero = (long) 0;
22304 const int is_unsigned = neg_one > const_zero;
22306 if (
sizeof(
long) <
sizeof(long)) {
22307 return PyInt_FromLong((
long) value);
22308 }
else if (
sizeof(
long) <=
sizeof(
unsigned long)) {
22309 return PyLong_FromUnsignedLong((
unsigned long) value);
22310 #ifdef HAVE_LONG_LONG 22311 }
else if (
sizeof(
long) <=
sizeof(
unsigned PY_LONG_LONG)) {
22312 return PyLong_FromUnsignedLongLong((
unsigned PY_LONG_LONG) value);
22316 if (
sizeof(
long) <=
sizeof(
long)) {
22317 return PyInt_FromLong((
long) value);
22318 #ifdef HAVE_LONG_LONG 22319 }
else if (
sizeof(
long) <=
sizeof(PY_LONG_LONG)) {
22320 return PyLong_FromLongLong((PY_LONG_LONG) value);
22325 int one = 1;
int little = (int)*(
unsigned char *)&one;
22326 unsigned char *bytes = (
unsigned char *)&value;
22327 return _PyLong_FromByteArray(bytes,
sizeof(
long),
22328 little, !is_unsigned);
22333 static CYTHON_INLINE
long __Pyx_PyInt_As_long(PyObject *x) {
22334 const long neg_one = (long) ((
long) 0 - (long) 1), const_zero = (long) 0;
22335 const int is_unsigned = neg_one > const_zero;
22336 #if PY_MAJOR_VERSION < 3 22337 if (likely(PyInt_Check(x))) {
22338 if (
sizeof(
long) <
sizeof(long)) {
22339 __PYX_VERIFY_RETURN_INT(
long,
long, PyInt_AS_LONG(x))
22341 long val = PyInt_AS_LONG(x);
22342 if (is_unsigned && unlikely(val < 0)) {
22343 goto raise_neg_overflow;
22349 if (likely(PyLong_Check(x))) {
22351 #if CYTHON_USE_PYLONG_INTERNALS 22352 const digit* digits = ((PyLongObject*)x)->ob_digit;
22353 switch (Py_SIZE(x)) {
22354 case 0:
return (
long) 0;
22355 case 1: __PYX_VERIFY_RETURN_INT(
long, digit, digits[0])
22357 if (8 *
sizeof(
long) > 1 * PyLong_SHIFT) {
22358 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT) {
22359 __PYX_VERIFY_RETURN_INT(
long,
unsigned long, (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22360 }
else if (8 *
sizeof(
long) >= 2 * PyLong_SHIFT) {
22361 return (
long) (((((long)digits[1]) << PyLong_SHIFT) | (
long)digits[0]));
22366 if (8 *
sizeof(
long) > 2 * PyLong_SHIFT) {
22367 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT) {
22368 __PYX_VERIFY_RETURN_INT(
long,
unsigned long, (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22369 }
else if (8 *
sizeof(
long) >= 3 * PyLong_SHIFT) {
22370 return (
long) (((((((long)digits[2]) << PyLong_SHIFT) | (
long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
22375 if (8 *
sizeof(
long) > 3 * PyLong_SHIFT) {
22376 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT) {
22377 __PYX_VERIFY_RETURN_INT(
long,
unsigned long, (((((((((
unsigned long)digits[3]) << PyLong_SHIFT) | (
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22378 }
else if (8 *
sizeof(
long) >= 4 * PyLong_SHIFT) {
22379 return (
long) (((((((((long)digits[3]) << PyLong_SHIFT) | (
long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (
long)digits[0]));
22385 #if CYTHON_COMPILING_IN_CPYTHON 22386 if (unlikely(Py_SIZE(x) < 0)) {
22387 goto raise_neg_overflow;
22391 int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
22392 if (unlikely(result < 0))
22394 if (unlikely(result == 1))
22395 goto raise_neg_overflow;
22398 if (
sizeof(
long) <=
sizeof(
unsigned long)) {
22399 __PYX_VERIFY_RETURN_INT_EXC(
long,
unsigned long, PyLong_AsUnsignedLong(x))
22400 #ifdef HAVE_LONG_LONG 22401 }
else if (
sizeof(
long) <=
sizeof(
unsigned PY_LONG_LONG)) {
22402 __PYX_VERIFY_RETURN_INT_EXC(
long,
unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
22406 #if CYTHON_USE_PYLONG_INTERNALS 22407 const digit* digits = ((PyLongObject*)x)->ob_digit;
22408 switch (Py_SIZE(x)) {
22409 case 0:
return (
long) 0;
22410 case -1: __PYX_VERIFY_RETURN_INT(
long, sdigit, (sdigit) (-(sdigit)digits[0]))
22411 case 1: __PYX_VERIFY_RETURN_INT(
long, digit, +digits[0])
22413 if (8 *
sizeof(
long) - 1 > 1 * PyLong_SHIFT) {
22414 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT) {
22415 __PYX_VERIFY_RETURN_INT(
long,
long, -(
long) (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22416 }
else if (8 *
sizeof(
long) - 1 > 2 * PyLong_SHIFT) {
22417 return (
long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (
long)digits[0])));
22422 if (8 *
sizeof(
long) > 1 * PyLong_SHIFT) {
22423 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT) {
22424 __PYX_VERIFY_RETURN_INT(
long,
unsigned long, (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22425 }
else if (8 *
sizeof(
long) - 1 > 2 * PyLong_SHIFT) {
22426 return (
long) ((((((long)digits[1]) << PyLong_SHIFT) | (
long)digits[0])));
22431 if (8 *
sizeof(
long) - 1 > 2 * PyLong_SHIFT) {
22432 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT) {
22433 __PYX_VERIFY_RETURN_INT(
long,
long, -(
long) (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22434 }
else if (8 *
sizeof(
long) - 1 > 3 * PyLong_SHIFT) {
22435 return (
long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (
long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
22440 if (8 *
sizeof(
long) > 2 * PyLong_SHIFT) {
22441 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT) {
22442 __PYX_VERIFY_RETURN_INT(
long,
unsigned long, (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22443 }
else if (8 *
sizeof(
long) - 1 > 3 * PyLong_SHIFT) {
22444 return (
long) ((((((((long)digits[2]) << PyLong_SHIFT) | (
long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
22449 if (8 *
sizeof(
long) - 1 > 3 * PyLong_SHIFT) {
22450 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT) {
22451 __PYX_VERIFY_RETURN_INT(
long,
long, -(
long) (((((((((
unsigned long)digits[3]) << PyLong_SHIFT) | (
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22452 }
else if (8 *
sizeof(
long) - 1 > 4 * PyLong_SHIFT) {
22453 return (
long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (
long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (
long)digits[0])));
22458 if (8 *
sizeof(
long) > 3 * PyLong_SHIFT) {
22459 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT) {
22460 __PYX_VERIFY_RETURN_INT(
long,
unsigned long, (((((((((
unsigned long)digits[3]) << PyLong_SHIFT) | (
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22461 }
else if (8 *
sizeof(
long) - 1 > 4 * PyLong_SHIFT) {
22462 return (
long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (
long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (
long)digits[0])));
22468 if (
sizeof(
long) <=
sizeof(long)) {
22469 __PYX_VERIFY_RETURN_INT_EXC(
long,
long, PyLong_AsLong(x))
22470 #ifdef HAVE_LONG_LONG 22471 }
else if (
sizeof(
long) <=
sizeof(PY_LONG_LONG)) {
22472 __PYX_VERIFY_RETURN_INT_EXC(
long, PY_LONG_LONG, PyLong_AsLongLong(x))
22477 #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) 22478 PyErr_SetString(PyExc_RuntimeError,
22479 "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
22482 PyObject *v = __Pyx_PyNumber_IntOrLong(x);
22483 #if PY_MAJOR_VERSION < 3 22484 if (likely(v) && !PyLong_Check(v)) {
22486 v = PyNumber_Long(tmp);
22491 int one = 1;
int is_little = (int)*(
unsigned char *)&one;
22492 unsigned char *bytes = (
unsigned char *)&val;
22493 int ret = _PyLong_AsByteArray((PyLongObject *)v,
22494 bytes,
sizeof(val),
22495 is_little, !is_unsigned);
22505 PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
22506 if (!tmp)
return (
long) -1;
22507 val = __Pyx_PyInt_As_long(tmp);
22512 PyErr_SetString(PyExc_OverflowError,
22513 "value too large to convert to long");
22515 raise_neg_overflow:
22516 PyErr_SetString(PyExc_OverflowError,
22517 "can't convert negative value to long");
22522 #if CYTHON_COMPILING_IN_CPYTHON 22523 static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
22529 return b == &PyBaseObject_Type;
22531 static CYTHON_INLINE
int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
22533 if (a == b)
return 1;
22537 n = PyTuple_GET_SIZE(mro);
22538 for (
i = 0;
i < n;
i++) {
22539 if (PyTuple_GET_ITEM(mro,
i) == (PyObject *)b)
22544 return __Pyx_InBases(a, b);
22546 #if PY_MAJOR_VERSION == 2 22547 static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
22548 PyObject *exception, *value, *tb;
22550 __Pyx_PyThreadState_declare
22551 __Pyx_PyThreadState_assign
22552 __Pyx_ErrFetch(&exception, &value, &tb);
22553 res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
22554 if (unlikely(res == -1)) {
22555 PyErr_WriteUnraisable(err);
22559 res = PyObject_IsSubclass(err, exc_type2);
22560 if (unlikely(res == -1)) {
22561 PyErr_WriteUnraisable(err);
22565 __Pyx_ErrRestore(exception, value, tb);
22569 static CYTHON_INLINE
int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
22570 int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
22572 res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
22577 static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
22579 assert(PyExceptionClass_Check(exc_type));
22580 n = PyTuple_GET_SIZE(tuple);
22581 #if PY_MAJOR_VERSION >= 3 22582 for (
i=0;
i<n;
i++) {
22583 if (exc_type == PyTuple_GET_ITEM(tuple,
i))
return 1;
22586 for (
i=0;
i<n;
i++) {
22587 PyObject *t = PyTuple_GET_ITEM(tuple,
i);
22588 #if PY_MAJOR_VERSION < 3 22589 if (likely(exc_type == t))
return 1;
22591 if (likely(PyExceptionClass_Check(t))) {
22592 if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t))
return 1;
22598 static CYTHON_INLINE
int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
22599 if (likely(err == exc_type))
return 1;
22600 if (likely(PyExceptionClass_Check(err))) {
22601 if (likely(PyExceptionClass_Check(exc_type))) {
22602 return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
22603 }
else if (likely(PyTuple_Check(exc_type))) {
22604 return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
22608 return PyErr_GivenExceptionMatches(err, exc_type);
22610 static CYTHON_INLINE
int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
22611 assert(PyExceptionClass_Check(exc_type1));
22612 assert(PyExceptionClass_Check(exc_type2));
22613 if (likely(err == exc_type1 || err == exc_type2))
return 1;
22614 if (likely(PyExceptionClass_Check(err))) {
22615 return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
22617 return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
22622 static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
22623 PyObject* fake_module;
22624 PyTypeObject* cached_type = NULL;
22625 fake_module = PyImport_AddModule((
char*)
"_cython_" CYTHON_ABI);
22626 if (!fake_module)
return NULL;
22627 Py_INCREF(fake_module);
22628 cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
22630 if (!PyType_Check((PyObject*)cached_type)) {
22631 PyErr_Format(PyExc_TypeError,
22632 "Shared Cython type %.200s is not a type object",
22636 if (cached_type->tp_basicsize != type->tp_basicsize) {
22637 PyErr_Format(PyExc_TypeError,
22638 "Shared Cython type %.200s has the wrong size, try recompiling",
22643 if (!PyErr_ExceptionMatches(PyExc_AttributeError))
goto bad;
22645 if (PyType_Ready(type) < 0)
goto bad;
22646 if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
22649 cached_type = type;
22652 Py_DECREF(fake_module);
22653 return cached_type;
22655 Py_XDECREF(cached_type);
22656 cached_type = NULL;
22661 #if CYTHON_FAST_THREAD_STATE 22662 static CYTHON_INLINE
void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
22663 PyObject *tmp_type, *tmp_value, *tmp_tb;
22664 #if CYTHON_USE_EXC_INFO_STACK 22665 _PyErr_StackItem *exc_info = tstate->exc_info;
22666 tmp_type = exc_info->exc_type;
22667 tmp_value = exc_info->exc_value;
22668 tmp_tb = exc_info->exc_traceback;
22669 exc_info->exc_type = *type;
22670 exc_info->exc_value = *value;
22671 exc_info->exc_traceback = *tb;
22673 tmp_type = tstate->exc_type;
22674 tmp_value = tstate->exc_value;
22675 tmp_tb = tstate->exc_traceback;
22676 tstate->exc_type = *type;
22677 tstate->exc_value = *value;
22678 tstate->exc_traceback = *tb;
22681 *value = tmp_value;
22685 static CYTHON_INLINE
void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
22686 PyObject *tmp_type, *tmp_value, *tmp_tb;
22687 PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
22688 PyErr_SetExcInfo(*type, *value, *tb);
22690 *value = tmp_value;
22696 static int __Pyx_PyObject_GetMethod(PyObject *
obj, PyObject *name, PyObject **method) {
22698 #if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP 22699 PyTypeObject *tp = Py_TYPE(
obj);
22701 descrgetfunc f = NULL;
22702 PyObject **dictptr, *dict;
22703 int meth_found = 0;
22704 assert (*method == NULL);
22705 if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
22706 attr = __Pyx_PyObject_GetAttrStr(
obj, name);
22709 if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
22712 descr = _PyType_Lookup(tp, name);
22713 if (likely(descr != NULL)) {
22715 #if PY_MAJOR_VERSION >= 3 22716 #ifdef __Pyx_CyFunction_USED 22717 if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
22719 if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type)))
22722 #ifdef __Pyx_CyFunction_USED 22723 if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
22725 if (likely(PyFunction_Check(descr)))
22731 f = Py_TYPE(descr)->tp_descr_get;
22732 if (f != NULL && PyDescr_IsData(descr)) {
22733 attr = f(descr,
obj, (PyObject *)Py_TYPE(
obj));
22739 dictptr = _PyObject_GetDictPtr(
obj);
22740 if (dictptr != NULL && (dict = *dictptr) != NULL) {
22742 attr = __Pyx_PyDict_GetItemStr(dict, name);
22743 if (attr != NULL) {
22756 attr = f(descr,
obj, (PyObject *)Py_TYPE(
obj));
22760 if (descr != NULL) {
22764 PyErr_Format(PyExc_AttributeError,
22765 #
if PY_MAJOR_VERSION >= 3
22766 "'%.50s' object has no attribute '%U'",
22767 tp->tp_name, name);
22769 "'%.50s' object has no attribute '%.400s'",
22770 tp->tp_name, PyString_AS_STRING(name));
22774 attr = __Pyx_PyObject_GetAttrStr(
obj, name);
22778 #if CYTHON_UNPACK_METHODS 22779 if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) ==
obj)) {
22780 PyObject *
function = PyMethod_GET_FUNCTION(attr);
22781 Py_INCREF(
function);
22783 *method =
function;
22792 static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
22793 PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
22797 static PyObject* __Pyx_PyObject_CallMethod1(PyObject*
obj, PyObject* method_name, PyObject* arg) {
22798 PyObject *method = NULL, *result;
22799 int is_method = __Pyx_PyObject_GetMethod(
obj, method_name, &method);
22800 if (likely(is_method)) {
22801 result = __Pyx_PyObject_Call2Args(method,
obj, arg);
22805 if (unlikely(!method))
return NULL;
22806 return __Pyx__PyObject_CallMethod1(method, arg);
22810 #include <structmember.h> 22811 #include <frameobject.h> 22812 #define __Pyx_Coroutine_Undelegate(gen) Py_CLEAR((gen)->yieldfrom) 22813 static int __Pyx_PyGen__FetchStopIterationValue(CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject **pvalue) {
22814 PyObject *et, *ev, *tb;
22815 PyObject *value = NULL;
22816 __Pyx_ErrFetch(&et, &ev, &tb);
22820 Py_INCREF(Py_None);
22824 if (likely(et == PyExc_StopIteration)) {
22826 Py_INCREF(Py_None);
22829 #if PY_VERSION_HEX >= 0x030300A0 22830 else if (Py_TYPE(ev) == (PyTypeObject*)PyExc_StopIteration) {
22831 value = ((PyStopIterationObject *)ev)->value;
22836 else if (unlikely(PyTuple_Check(ev))) {
22837 if (PyTuple_GET_SIZE(ev) >= 1) {
22838 #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS 22839 value = PyTuple_GET_ITEM(ev, 0);
22842 value = PySequence_ITEM(ev, 0);
22845 Py_INCREF(Py_None);
22850 else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
22853 if (likely(value)) {
22859 }
else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
22860 __Pyx_ErrRestore(et, ev, tb);
22863 PyErr_NormalizeException(&et, &ev, &tb);
22864 if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
22865 __Pyx_ErrRestore(et, ev, tb);
22870 #if PY_VERSION_HEX >= 0x030300A0 22871 value = ((PyStopIterationObject *)ev)->value;
22876 PyObject* args = __Pyx_PyObject_GetAttrStr(ev, __pyx_n_s_args);
22878 if (likely(args)) {
22879 value = PySequence_GetItem(args, 0);
22882 if (unlikely(!value)) {
22883 __Pyx_ErrRestore(NULL, NULL, NULL);
22884 Py_INCREF(Py_None);
22892 static CYTHON_INLINE
22893 void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
22894 PyObject *t, *v, *tb;
22895 t = exc_state->exc_type;
22896 v = exc_state->exc_value;
22897 tb = exc_state->exc_traceback;
22898 exc_state->exc_type = NULL;
22899 exc_state->exc_value = NULL;
22900 exc_state->exc_traceback = NULL;
22905 #define __Pyx_Coroutine_AlreadyRunningError(gen) (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL) 22906 static void __Pyx__Coroutine_AlreadyRunningError(CYTHON_UNUSED __pyx_CoroutineObject *gen) {
22909 #ifdef __Pyx_Coroutine_USED 22910 }
else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
22911 msg =
"coroutine already executing";
22913 #ifdef __Pyx_AsyncGen_USED 22914 }
else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
22915 msg =
"async generator already executing";
22918 msg =
"generator already executing";
22920 PyErr_SetString(PyExc_ValueError, msg);
22922 #define __Pyx_Coroutine_NotStartedError(gen) (__Pyx__Coroutine_NotStartedError(gen), (PyObject*)NULL) 22923 static void __Pyx__Coroutine_NotStartedError(CYTHON_UNUSED PyObject *gen) {
22926 #ifdef __Pyx_Coroutine_USED 22927 }
else if (__Pyx_Coroutine_Check(gen)) {
22928 msg =
"can't send non-None value to a just-started coroutine";
22930 #ifdef __Pyx_AsyncGen_USED 22931 }
else if (__Pyx_AsyncGen_CheckExact(gen)) {
22932 msg =
"can't send non-None value to a just-started async generator";
22935 msg =
"can't send non-None value to a just-started generator";
22937 PyErr_SetString(PyExc_TypeError, msg);
22939 #define __Pyx_Coroutine_AlreadyTerminatedError(gen, value, closing) (__Pyx__Coroutine_AlreadyTerminatedError(gen, value, closing), (PyObject*)NULL) 22940 static void __Pyx__Coroutine_AlreadyTerminatedError(CYTHON_UNUSED PyObject *gen, PyObject *value, CYTHON_UNUSED
int closing) {
22941 #ifdef __Pyx_Coroutine_USED 22942 if (!closing && __Pyx_Coroutine_Check(gen)) {
22943 PyErr_SetString(PyExc_RuntimeError,
"cannot reuse already awaited coroutine");
22947 #ifdef __Pyx_AsyncGen_USED 22948 if (__Pyx_AsyncGen_CheckExact(gen))
22949 PyErr_SetNone(__Pyx_PyExc_StopAsyncIteration);
22952 PyErr_SetNone(PyExc_StopIteration);
22956 PyObject *__Pyx_Coroutine_SendEx(__pyx_CoroutineObject *
self, PyObject *value,
int closing) {
22957 __Pyx_PyThreadState_declare
22958 PyThreadState *tstate;
22959 __Pyx_ExcInfoStruct *exc_state;
22961 assert(!self->is_running);
22962 if (unlikely(self->resume_label == 0)) {
22963 if (unlikely(value && value != Py_None)) {
22964 return __Pyx_Coroutine_NotStartedError((PyObject*)
self);
22967 if (unlikely(self->resume_label == -1)) {
22968 return __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)
self, value, closing);
22970 #if CYTHON_FAST_THREAD_STATE 22971 __Pyx_PyThreadState_assign
22972 tstate = __pyx_tstate;
22974 tstate = __Pyx_PyThreadState_Current;
22976 exc_state = &
self->gi_exc_state;
22977 if (exc_state->exc_type) {
22978 #if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON 22980 if (exc_state->exc_traceback) {
22981 PyTracebackObject *tb = (PyTracebackObject *) exc_state->exc_traceback;
22982 PyFrameObject *f = tb->tb_frame;
22983 Py_XINCREF(tstate->frame);
22984 assert(f->f_back == NULL);
22985 f->f_back = tstate->frame;
22989 #if CYTHON_USE_EXC_INFO_STACK 22990 exc_state->previous_item = tstate->exc_info;
22991 tstate->exc_info = exc_state;
22993 if (exc_state->exc_type) {
22994 __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
22996 __Pyx_Coroutine_ExceptionClear(exc_state);
22997 __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
23000 self->is_running = 1;
23001 retval =
self->body((PyObject *)
self, tstate, value);
23002 self->is_running = 0;
23003 #if CYTHON_USE_EXC_INFO_STACK 23004 exc_state = &
self->gi_exc_state;
23005 tstate->exc_info = exc_state->previous_item;
23006 exc_state->previous_item = NULL;
23007 __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
23011 static CYTHON_INLINE
void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
23012 PyObject *exc_tb = exc_state->exc_traceback;
23013 if (likely(exc_tb)) {
23014 #if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON 23016 PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
23017 PyFrameObject *f = tb->tb_frame;
23018 Py_CLEAR(f->f_back);
23022 static CYTHON_INLINE
23023 PyObject *__Pyx_Coroutine_MethodReturn(CYTHON_UNUSED PyObject* gen, PyObject *retval) {
23024 if (unlikely(!retval)) {
23025 __Pyx_PyThreadState_declare
23026 __Pyx_PyThreadState_assign
23027 if (!__Pyx_PyErr_Occurred()) {
23028 PyObject *exc = PyExc_StopIteration;
23029 #ifdef __Pyx_AsyncGen_USED 23030 if (__Pyx_AsyncGen_CheckExact(gen))
23031 exc = __Pyx_PyExc_StopAsyncIteration;
23033 __Pyx_PyErr_SetNone(exc);
23038 static CYTHON_INLINE
23039 PyObject *__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen) {
23041 PyObject *val = NULL;
23042 __Pyx_Coroutine_Undelegate(gen);
23043 __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
23044 ret = __Pyx_Coroutine_SendEx(gen, val, 0);
23048 static PyObject *__Pyx_Coroutine_Send(PyObject *
self, PyObject *value) {
23050 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*)
self;
23051 PyObject *yf = gen->yieldfrom;
23052 if (unlikely(gen->is_running))
23053 return __Pyx_Coroutine_AlreadyRunningError(gen);
23056 gen->is_running = 1;
23057 #ifdef __Pyx_Generator_USED 23058 if (__Pyx_Generator_CheckExact(yf)) {
23059 ret = __Pyx_Coroutine_Send(yf, value);
23062 #ifdef __Pyx_Coroutine_USED 23063 if (__Pyx_Coroutine_Check(yf)) {
23064 ret = __Pyx_Coroutine_Send(yf, value);
23067 #ifdef __Pyx_AsyncGen_USED 23068 if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
23069 ret = __Pyx_async_gen_asend_send(yf, value);
23072 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3) 23073 if (PyGen_CheckExact(yf)) {
23074 ret = _PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
23077 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03050000 && defined(PyCoro_CheckExact) && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3) 23078 if (PyCoro_CheckExact(yf)) {
23079 ret = _PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
23083 if (value == Py_None)
23084 ret = Py_TYPE(yf)->tp_iternext(yf);
23086 ret = __Pyx_PyObject_CallMethod1(yf, __pyx_n_s_send, value);
23088 gen->is_running = 0;
23092 retval = __Pyx_Coroutine_FinishDelegation(gen);
23094 retval = __Pyx_Coroutine_SendEx(gen, value, 0);
23096 return __Pyx_Coroutine_MethodReturn(
self, retval);
23098 static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
23099 PyObject *retval = NULL;
23101 #ifdef __Pyx_Generator_USED 23102 if (__Pyx_Generator_CheckExact(yf)) {
23103 retval = __Pyx_Coroutine_Close(yf);
23108 #ifdef __Pyx_Coroutine_USED 23109 if (__Pyx_Coroutine_Check(yf)) {
23110 retval = __Pyx_Coroutine_Close(yf);
23114 if (__Pyx_CoroutineAwait_CheckExact(yf)) {
23115 retval = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf, NULL);
23120 #ifdef __Pyx_AsyncGen_USED 23121 if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
23122 retval = __Pyx_async_gen_asend_close(yf, NULL);
23124 if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
23125 retval = __Pyx_async_gen_athrow_close(yf, NULL);
23130 gen->is_running = 1;
23131 meth = __Pyx_PyObject_GetAttrStr(yf, __pyx_n_s_close);
23132 if (unlikely(!meth)) {
23133 if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
23134 PyErr_WriteUnraisable(yf);
23138 retval = PyObject_CallFunction(meth, NULL);
23143 gen->is_running = 0;
23145 Py_XDECREF(retval);
23148 static PyObject *__Pyx_Generator_Next(PyObject *
self) {
23149 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*)
self;
23150 PyObject *yf = gen->yieldfrom;
23151 if (unlikely(gen->is_running))
23152 return __Pyx_Coroutine_AlreadyRunningError(gen);
23155 gen->is_running = 1;
23156 #ifdef __Pyx_Generator_USED 23157 if (__Pyx_Generator_CheckExact(yf)) {
23158 ret = __Pyx_Generator_Next(yf);
23161 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3) 23162 if (PyGen_CheckExact(yf)) {
23163 ret = _PyGen_Send((PyGenObject*)yf, NULL);
23166 #ifdef __Pyx_Coroutine_USED 23167 if (__Pyx_Coroutine_Check(yf)) {
23168 ret = __Pyx_Coroutine_Send(yf, Py_None);
23171 ret = Py_TYPE(yf)->tp_iternext(yf);
23172 gen->is_running = 0;
23176 return __Pyx_Coroutine_FinishDelegation(gen);
23178 return __Pyx_Coroutine_SendEx(gen, Py_None, 0);
23180 static PyObject *__Pyx_Coroutine_Close_Method(PyObject *
self, CYTHON_UNUSED PyObject *arg) {
23181 return __Pyx_Coroutine_Close(
self);
23183 static PyObject *__Pyx_Coroutine_Close(PyObject *
self) {
23184 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *)
self;
23185 PyObject *retval, *raised_exception;
23186 PyObject *yf = gen->yieldfrom;
23188 if (unlikely(gen->is_running))
23189 return __Pyx_Coroutine_AlreadyRunningError(gen);
23192 err = __Pyx_Coroutine_CloseIter(gen, yf);
23193 __Pyx_Coroutine_Undelegate(gen);
23197 PyErr_SetNone(PyExc_GeneratorExit);
23198 retval = __Pyx_Coroutine_SendEx(gen, NULL, 1);
23199 if (unlikely(retval)) {
23203 #ifdef __Pyx_Coroutine_USED 23204 }
else if (__Pyx_Coroutine_Check(
self)) {
23205 msg =
"coroutine ignored GeneratorExit";
23207 #ifdef __Pyx_AsyncGen_USED 23208 }
else if (__Pyx_AsyncGen_CheckExact(
self)) {
23209 #if PY_VERSION_HEX < 0x03060000 23210 msg =
"async generator ignored GeneratorExit - might require Python 3.6+ finalisation (PEP 525)";
23212 msg =
"async generator ignored GeneratorExit";
23216 msg =
"generator ignored GeneratorExit";
23218 PyErr_SetString(PyExc_RuntimeError, msg);
23221 raised_exception = PyErr_Occurred();
23222 if (likely(!raised_exception || __Pyx_PyErr_GivenExceptionMatches2(raised_exception, PyExc_GeneratorExit, PyExc_StopIteration))) {
23223 if (raised_exception) PyErr_Clear();
23224 Py_INCREF(Py_None);
23229 static PyObject *__Pyx__Coroutine_Throw(PyObject *
self, PyObject *typ, PyObject *val, PyObject *tb,
23230 PyObject *args,
int close_on_genexit) {
23231 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *)
self;
23232 PyObject *yf = gen->yieldfrom;
23233 if (unlikely(gen->is_running))
23234 return __Pyx_Coroutine_AlreadyRunningError(gen);
23238 if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
23239 int err = __Pyx_Coroutine_CloseIter(gen, yf);
23241 __Pyx_Coroutine_Undelegate(gen);
23243 return __Pyx_Coroutine_MethodReturn(
self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
23246 gen->is_running = 1;
23248 #ifdef __Pyx_Generator_USED
23249 || __Pyx_Generator_CheckExact(yf)
23251 #ifdef __Pyx_Coroutine_USED
23252 || __Pyx_Coroutine_Check(yf)
23255 ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
23256 #ifdef __Pyx_Coroutine_USED 23257 }
else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
23258 ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
23261 PyObject *meth = __Pyx_PyObject_GetAttrStr(yf, __pyx_n_s_throw);
23262 if (unlikely(!meth)) {
23264 if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
23265 gen->is_running = 0;
23269 __Pyx_Coroutine_Undelegate(gen);
23270 gen->is_running = 0;
23273 if (likely(args)) {
23274 ret = PyObject_CallObject(meth, args);
23276 ret = PyObject_CallFunctionObjArgs(meth, typ, val, tb, NULL);
23280 gen->is_running = 0;
23283 ret = __Pyx_Coroutine_FinishDelegation(gen);
23285 return __Pyx_Coroutine_MethodReturn(
self, ret);
23288 __Pyx_Raise(typ, val, tb, NULL);
23289 return __Pyx_Coroutine_MethodReturn(
self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
23291 static PyObject *__Pyx_Coroutine_Throw(PyObject *
self, PyObject *args) {
23293 PyObject *val = NULL;
23294 PyObject *tb = NULL;
23295 if (!PyArg_UnpackTuple(args, (
char *)
"throw", 1, 3, &typ, &val, &tb))
23297 return __Pyx__Coroutine_Throw(
self, typ, val, tb, args, 1);
23299 static CYTHON_INLINE
int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit,
void *arg) {
23300 Py_VISIT(exc_state->exc_type);
23301 Py_VISIT(exc_state->exc_value);
23302 Py_VISIT(exc_state->exc_traceback);
23305 static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit,
void *arg) {
23306 Py_VISIT(gen->closure);
23307 Py_VISIT(gen->classobj);
23308 Py_VISIT(gen->yieldfrom);
23309 return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
23311 static int __Pyx_Coroutine_clear(PyObject *
self) {
23312 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *)
self;
23313 Py_CLEAR(gen->closure);
23314 Py_CLEAR(gen->classobj);
23315 Py_CLEAR(gen->yieldfrom);
23316 __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
23317 #ifdef __Pyx_AsyncGen_USED 23318 if (__Pyx_AsyncGen_CheckExact(
self)) {
23319 Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
23322 Py_CLEAR(gen->gi_code);
23323 Py_CLEAR(gen->gi_name);
23324 Py_CLEAR(gen->gi_qualname);
23325 Py_CLEAR(gen->gi_modulename);
23328 static void __Pyx_Coroutine_dealloc(PyObject *
self) {
23329 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *)
self;
23330 PyObject_GC_UnTrack(gen);
23331 if (gen->gi_weakreflist != NULL)
23332 PyObject_ClearWeakRefs(
self);
23333 if (gen->resume_label >= 0) {
23334 PyObject_GC_Track(
self);
23335 #if PY_VERSION_HEX >= 0x030400a1 && CYTHON_USE_TP_FINALIZE 23336 if (PyObject_CallFinalizerFromDealloc(
self))
23338 Py_TYPE(gen)->tp_del(
self);
23339 if (self->ob_refcnt > 0)
23344 PyObject_GC_UnTrack(
self);
23346 #ifdef __Pyx_AsyncGen_USED 23347 if (__Pyx_AsyncGen_CheckExact(
self)) {
23351 Py_CLEAR(((__pyx_PyAsyncGenObject*)
self)->ag_finalizer);
23354 __Pyx_Coroutine_clear(
self);
23355 PyObject_GC_Del(gen);
23357 static void __Pyx_Coroutine_del(PyObject *
self) {
23358 PyObject *error_type, *error_value, *error_traceback;
23359 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *)
self;
23360 __Pyx_PyThreadState_declare
23361 if (gen->resume_label < 0) {
23364 #if !CYTHON_USE_TP_FINALIZE 23365 assert(self->ob_refcnt == 0);
23366 self->ob_refcnt = 1;
23368 __Pyx_PyThreadState_assign
23369 __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
23370 #ifdef __Pyx_AsyncGen_USED 23371 if (__Pyx_AsyncGen_CheckExact(
self)) {
23372 __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)
self;
23373 PyObject *finalizer = agen->ag_finalizer;
23374 if (finalizer && !agen->ag_closed) {
23375 PyObject *res = __Pyx_PyObject_CallOneArg(finalizer,
self);
23376 if (unlikely(!res)) {
23377 PyErr_WriteUnraisable(
self);
23381 __Pyx_ErrRestore(error_type, error_value, error_traceback);
23386 if (unlikely(gen->resume_label == 0 && !error_value)) {
23387 #ifdef __Pyx_Coroutine_USED 23388 #ifdef __Pyx_Generator_USED 23389 if (!__Pyx_Generator_CheckExact(
self))
23392 PyObject_GC_UnTrack(
self);
23393 #if PY_MAJOR_VERSION >= 3 || defined(PyErr_WarnFormat) 23394 if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1,
"coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
23395 PyErr_WriteUnraisable(
self);
23399 #if CYTHON_COMPILING_IN_PYPY 23401 cmsg = (
char*)
"coroutine was never awaited";
23404 PyObject *qualname;
23405 qualname = gen->gi_qualname;
23406 cname = PyString_AS_STRING(qualname);
23407 msg = PyString_FromFormat(
"coroutine '%.50s' was never awaited", cname);
23408 if (unlikely(!msg)) {
23410 cmsg = (
char*)
"coroutine was never awaited";
23412 cmsg = PyString_AS_STRING(msg);
23415 if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, cmsg, 1) < 0))
23416 PyErr_WriteUnraisable(
self);
23419 PyObject_GC_Track(
self);
23423 PyObject *res = __Pyx_Coroutine_Close(
self);
23424 if (unlikely(!res)) {
23425 if (PyErr_Occurred())
23426 PyErr_WriteUnraisable(
self);
23431 __Pyx_ErrRestore(error_type, error_value, error_traceback);
23432 #if !CYTHON_USE_TP_FINALIZE 23433 assert(self->ob_refcnt > 0);
23434 if (--self->ob_refcnt == 0) {
23438 Py_ssize_t refcnt =
self->ob_refcnt;
23439 _Py_NewReference(
self);
23440 self->ob_refcnt = refcnt;
23442 #if CYTHON_COMPILING_IN_CPYTHON 23443 assert(PyType_IS_GC(self->ob_type) &&
23444 _Py_AS_GC(
self)->gc.gc_refs != _PyGC_REFS_UNTRACKED);
23447 #ifdef COUNT_ALLOCS 23448 --Py_TYPE(
self)->tp_frees;
23449 --Py_TYPE(
self)->tp_allocs;
23454 __Pyx_Coroutine_get_name(__pyx_CoroutineObject *
self, CYTHON_UNUSED
void *context)
23456 PyObject *name =
self->gi_name;
23457 if (unlikely(!name)) name = Py_None;
23462 __Pyx_Coroutine_set_name(__pyx_CoroutineObject *
self, PyObject *value, CYTHON_UNUSED
void *context)
23465 #if PY_MAJOR_VERSION >= 3 23466 if (unlikely(value == NULL || !PyUnicode_Check(value)))
23468 if (unlikely(value == NULL || !PyString_Check(value)))
23471 PyErr_SetString(PyExc_TypeError,
23472 "__name__ must be set to a string object");
23475 tmp =
self->gi_name;
23477 self->gi_name = value;
23482 __Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *
self, CYTHON_UNUSED
void *context)
23484 PyObject *name =
self->gi_qualname;
23485 if (unlikely(!name)) name = Py_None;
23490 __Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *
self, PyObject *value, CYTHON_UNUSED
void *context)
23493 #if PY_MAJOR_VERSION >= 3 23494 if (unlikely(value == NULL || !PyUnicode_Check(value)))
23496 if (unlikely(value == NULL || !PyString_Check(value)))
23499 PyErr_SetString(PyExc_TypeError,
23500 "__qualname__ must be set to a string object");
23503 tmp =
self->gi_qualname;
23505 self->gi_qualname = value;
23509 static __pyx_CoroutineObject *__Pyx__Coroutine_New(
23510 PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
23511 PyObject *name, PyObject *qualname, PyObject *module_name) {
23512 __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
23513 if (unlikely(!gen))
23515 return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
23517 static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
23518 __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
23519 PyObject *name, PyObject *qualname, PyObject *module_name) {
23521 gen->closure = closure;
23522 Py_XINCREF(closure);
23523 gen->is_running = 0;
23524 gen->resume_label = 0;
23525 gen->classobj = NULL;
23526 gen->yieldfrom = NULL;
23527 gen->gi_exc_state.exc_type = NULL;
23528 gen->gi_exc_state.exc_value = NULL;
23529 gen->gi_exc_state.exc_traceback = NULL;
23530 #if CYTHON_USE_EXC_INFO_STACK 23531 gen->gi_exc_state.previous_item = NULL;
23533 gen->gi_weakreflist = NULL;
23534 Py_XINCREF(qualname);
23535 gen->gi_qualname = qualname;
23537 gen->gi_name = name;
23538 Py_XINCREF(module_name);
23539 gen->gi_modulename = module_name;
23541 gen->gi_code = code;
23542 PyObject_GC_Track(gen);
23547 static PyObject* __Pyx_Coroutine_patch_module(PyObject* module,
const char* py_code) {
23548 #if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED) 23550 PyObject *globals, *result_obj;
23551 globals = PyDict_New();
if (unlikely(!globals))
goto ignore;
23552 result = PyDict_SetItemString(globals,
"_cython_coroutine_type",
23553 #ifdef __Pyx_Coroutine_USED
23554 (PyObject*)__pyx_CoroutineType);
23558 if (unlikely(result < 0))
goto ignore;
23559 result = PyDict_SetItemString(globals,
"_cython_generator_type",
23560 #ifdef __Pyx_Generator_USED
23561 (PyObject*)__pyx_GeneratorType);
23565 if (unlikely(result < 0))
goto ignore;
23566 if (unlikely(PyDict_SetItemString(globals,
"_module", module) < 0))
goto ignore;
23567 if (unlikely(PyDict_SetItemString(globals,
"__builtins__", __pyx_b) < 0))
goto ignore;
23568 result_obj = PyRun_String(py_code, Py_file_input, globals, globals);
23569 if (unlikely(!result_obj))
goto ignore;
23570 Py_DECREF(result_obj);
23571 Py_DECREF(globals);
23574 Py_XDECREF(globals);
23575 PyErr_WriteUnraisable(module);
23576 if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
"Cython module failed to patch module with custom type", 1) < 0)) {
23587 #ifndef CYTHON_REGISTER_ABCS 23588 #define CYTHON_REGISTER_ABCS 1 23590 #if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED) 23591 static PyObject* __Pyx_patch_abc_module(PyObject *module);
23592 static PyObject* __Pyx_patch_abc_module(PyObject *module) {
23593 module = __Pyx_Coroutine_patch_module(
23595 "if _cython_generator_type is not None:\n" 23596 " try: Generator = _module.Generator\n" 23597 " except AttributeError: pass\n" 23598 " else: Generator.register(_cython_generator_type)\n" 23599 "if _cython_coroutine_type is not None:\n" 23600 " try: Coroutine = _module.Coroutine\n" 23601 " except AttributeError: pass\n" 23602 " else: Coroutine.register(_cython_coroutine_type)\n" 23607 static int __Pyx_patch_abc(
void) {
23608 #if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED) 23609 static int abc_patched = 0;
23610 if (CYTHON_REGISTER_ABCS && !abc_patched) {
23612 module = PyImport_ImportModule((PY_MAJOR_VERSION >= 3) ?
"collections.abc" :
"collections");
23614 PyErr_WriteUnraisable(NULL);
23615 if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
23616 ((PY_MAJOR_VERSION >= 3) ?
23617 "Cython module failed to register with collections.abc module" :
23618 "Cython module failed to register with collections module"), 1) < 0)) {
23622 module = __Pyx_patch_abc_module(module);
23624 if (unlikely(!module))
23628 module = PyImport_ImportModule(
"backports_abc");
23630 module = __Pyx_patch_abc_module(module);
23631 Py_XDECREF(module);
23638 if ((0)) __Pyx_Coroutine_patch_module(NULL, NULL);
23644 static PyMethodDef __pyx_Generator_methods[] = {
23645 {
"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
23646 (
char*) PyDoc_STR(
"send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
23647 {
"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
23648 (
char*) PyDoc_STR(
"throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
23649 {
"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
23650 (
char*) PyDoc_STR(
"close() -> raise GeneratorExit inside generator.")},
23653 static PyMemberDef __pyx_Generator_memberlist[] = {
23654 {(
char *)
"gi_running", T_BOOL, offsetof(__pyx_CoroutineObject, is_running), READONLY, NULL},
23655 {(
char*)
"gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
23656 (
char*) PyDoc_STR(
"object being iterated by 'yield from', or None")},
23657 {(
char*)
"gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
23660 static PyGetSetDef __pyx_Generator_getsets[] = {
23661 {(
char *)
"__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
23662 (
char*) PyDoc_STR(
"name of the generator"), 0},
23663 {(
char *)
"__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
23664 (
char*) PyDoc_STR(
"qualified name of the generator"), 0},
23667 static PyTypeObject __pyx_GeneratorType_type = {
23668 PyVarObject_HEAD_INIT(0, 0)
23670 sizeof(__pyx_CoroutineObject),
23672 (destructor) __Pyx_Coroutine_dealloc,
23687 Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
23689 (traverseproc) __Pyx_Coroutine_traverse,
23692 offsetof(__pyx_CoroutineObject, gi_weakreflist),
23694 (iternextfunc) __Pyx_Generator_Next,
23695 __pyx_Generator_methods,
23696 __pyx_Generator_memberlist,
23697 __pyx_Generator_getsets,
23713 #
if CYTHON_USE_TP_FINALIZE
23716 __Pyx_Coroutine_del,
23719 #
if CYTHON_USE_TP_FINALIZE
23720 __Pyx_Coroutine_del,
23721 #elif PY_VERSION_HEX >= 0x030400a1
23724 #
if PY_VERSION_HEX >= 0x030800b1
23727 #
if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
23731 static int __pyx_Generator_init(
void) {
23732 __pyx_GeneratorType_type.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
23733 __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
23734 __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
23735 if (unlikely(!__pyx_GeneratorType)) {
23742 static int __Pyx_check_binary_version(
void) {
23743 char ctversion[4], rtversion[4];
23744 PyOS_snprintf(ctversion, 4,
"%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
23745 PyOS_snprintf(rtversion, 4,
"%s", Py_GetVersion());
23746 if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
23748 PyOS_snprintf(message,
sizeof(message),
23749 "compiletime version %s of module '%.100s' " 23750 "does not match runtime version %s",
23751 ctversion, __Pyx_MODULE_NAME, rtversion);
23752 return PyErr_WarnEx(NULL, message, 1);
23758 static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
23760 #if PY_MAJOR_VERSION < 3 23761 if (t->is_unicode) {
23762 *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
23763 }
else if (t->intern) {
23764 *t->p = PyString_InternFromString(t->s);
23766 *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
23769 if (t->is_unicode | t->is_str) {
23771 *t->p = PyUnicode_InternFromString(t->s);
23772 }
else if (t->encoding) {
23773 *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
23775 *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
23778 *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
23783 if (PyObject_Hash(*t->p) == -1)
23790 static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(
const char* c_str) {
23791 return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
23793 static CYTHON_INLINE
const char* __Pyx_PyObject_AsString(PyObject* o) {
23795 return __Pyx_PyObject_AsStringAndSize(o, &ignore);
23797 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 23798 #if !CYTHON_PEP393_ENABLED 23799 static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
23801 PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
23802 if (!defenc)
return NULL;
23803 defenc_c = PyBytes_AS_STRING(defenc);
23804 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 23806 char* end = defenc_c + PyBytes_GET_SIZE(defenc);
23808 for (c = defenc_c; c < end; c++) {
23809 if ((
unsigned char) (*c) >= 128) {
23810 PyUnicode_AsASCIIString(o);
23816 *length = PyBytes_GET_SIZE(defenc);
23820 static CYTHON_INLINE
const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
23821 if (unlikely(__Pyx_PyUnicode_READY(o) == -1))
return NULL;
23822 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 23823 if (likely(PyUnicode_IS_ASCII(o))) {
23824 *length = PyUnicode_GET_LENGTH(o);
23825 return PyUnicode_AsUTF8(o);
23827 PyUnicode_AsASCIIString(o);
23831 return PyUnicode_AsUTF8AndSize(o, length);
23836 static CYTHON_INLINE
const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
23837 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 23839 #
if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
23840 __Pyx_sys_getdefaultencoding_not_ascii &&
23842 PyUnicode_Check(o)) {
23843 return __Pyx_PyUnicode_AsStringAndSize(o, length);
23846 #if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE)) 23847 if (PyByteArray_Check(o)) {
23848 *length = PyByteArray_GET_SIZE(o);
23849 return PyByteArray_AS_STRING(o);
23854 int r = PyBytes_AsStringAndSize(o, &result, length);
23855 if (unlikely(r < 0)) {
23862 static CYTHON_INLINE
int __Pyx_PyObject_IsTrue(PyObject* x) {
23863 int is_true = x == Py_True;
23864 if (is_true | (x == Py_False) | (x == Py_None))
return is_true;
23865 else return PyObject_IsTrue(x);
23867 static CYTHON_INLINE
int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
23869 if (unlikely(!x))
return -1;
23870 retval = __Pyx_PyObject_IsTrue(x);
23874 static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result,
const char* type_name) {
23875 #if PY_MAJOR_VERSION >= 3 23876 if (PyLong_Check(result)) {
23877 if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
23878 "__int__ returned non-int (type %.200s). " 23879 "The ability to return an instance of a strict subclass of int " 23880 "is deprecated, and may be removed in a future version of Python.",
23881 Py_TYPE(result)->tp_name)) {
23888 PyErr_Format(PyExc_TypeError,
23889 "__%.4s__ returned non-%.4s (type %.200s)",
23890 type_name, type_name, Py_TYPE(result)->tp_name);
23894 static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
23895 #if CYTHON_USE_TYPE_SLOTS 23896 PyNumberMethods *m;
23898 const char *name = NULL;
23899 PyObject *res = NULL;
23900 #if PY_MAJOR_VERSION < 3 23901 if (likely(PyInt_Check(x) || PyLong_Check(x)))
23903 if (likely(PyLong_Check(x)))
23905 return __Pyx_NewRef(x);
23906 #if CYTHON_USE_TYPE_SLOTS 23907 m = Py_TYPE(x)->tp_as_number;
23908 #if PY_MAJOR_VERSION < 3 23909 if (m && m->nb_int) {
23911 res = m->nb_int(x);
23913 else if (m && m->nb_long) {
23915 res = m->nb_long(x);
23918 if (likely(m && m->nb_int)) {
23920 res = m->nb_int(x);
23924 if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
23925 res = PyNumber_Int(x);
23929 #if PY_MAJOR_VERSION < 3 23930 if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
23932 if (unlikely(!PyLong_CheckExact(res))) {
23934 return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
23937 else if (!PyErr_Occurred()) {
23938 PyErr_SetString(PyExc_TypeError,
23939 "an integer is required");
23943 static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
23946 #if PY_MAJOR_VERSION < 3 23947 if (likely(PyInt_CheckExact(b))) {
23948 if (
sizeof(Py_ssize_t) >=
sizeof(
long))
23949 return PyInt_AS_LONG(b);
23951 return PyInt_AsSsize_t(b);
23954 if (likely(PyLong_CheckExact(b))) {
23955 #if CYTHON_USE_PYLONG_INTERNALS 23956 const digit* digits = ((PyLongObject*)b)->ob_digit;
23957 const Py_ssize_t size = Py_SIZE(b);
23958 if (likely(__Pyx_sst_abs(size) <= 1)) {
23959 ival = likely(size) ? digits[0] : 0;
23960 if (size == -1) ival = -ival;
23965 if (8 *
sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
23966 return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (
size_t)digits[0]));
23970 if (8 *
sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
23971 return -(Py_ssize_t) (((((
size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
23975 if (8 *
sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
23976 return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (
size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
23980 if (8 *
sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
23981 return -(Py_ssize_t) (((((((
size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (
size_t)digits[0]));
23985 if (8 *
sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
23986 return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (
size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (
size_t)digits[0]));
23990 if (8 *
sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
23991 return -(Py_ssize_t) (((((((((
size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (
size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
23997 return PyLong_AsSsize_t(b);
23999 x = PyNumber_Index(b);
24001 ival = PyInt_AsSsize_t(x);
24005 static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(
long b) {
24006 return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
24008 static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(
size_t ival) {
24009 return PyInt_FromSize_t(ival);
int compare(const index_set< LO, HI > &a, const index_set< LO, HI > &b)
"lexicographic compare" eg. {3,4,5} is less than {3,7,8}
const Multivector< Scalar_T, LO, HI > sqrt(const Multivector< Scalar_T, LO, HI > &val, const Multivector< Scalar_T, LO, HI > &i, const bool prechecked=false)
Square root of multivector with specified complexifier.
String clifford_to_str(const Multivector_T &mv)
The "informal" string representation of Multivector_T mv.
const Multivector< Scalar_T, LO, HI > acosh(const Multivector< Scalar_T, LO, HI > &val, const Multivector< Scalar_T, LO, HI > &i, const bool prechecked=false)
Inverse hyperbolic cosine of multivector with specified complexifier.
String index_set_to_repr(const Index_Set_T &ist)
The “official” string representation of Index_Set_T ist.
const Multivector< Scalar_T, LO, HI > sinh(const Multivector< Scalar_T, LO, HI > &val)
Hyperbolic sine of multivector.
index_set< lo_ndx, hi_ndx > IndexSet
Scalar_T abs(const Multivector< Scalar_T, LO, HI > &val)
Absolute value == sqrt(norm)
const Multivector< Scalar_T, LO, HI > log(const Multivector< Scalar_T, LO, HI > &val, const Multivector< Scalar_T, LO, HI > &i, const bool prechecked=false)
Natural logarithm of multivector with specified complexifier.
String clifford_to_repr(const Multivector_T &mv)
The “official” string representation of Multivector_T mv.
Multivector_T cga3(const Multivector_T &x)
Convert Euclidean 3D vector to Conformal Geometric Algebra null vector [DL (10.50)].
const Multivector< Scalar_T, LO, HI > sin(const Multivector< Scalar_T, LO, HI > &val, const Multivector< Scalar_T, LO, HI > &i, const bool prechecked=false)
Sine of multivector with specified complexifier.
const Multivector< Scalar_T, LO, HI > atanh(const Multivector< Scalar_T, LO, HI > &val, const Multivector< Scalar_T, LO, HI > &i, const bool prechecked=false)
Inverse hyperbolic tangent of multivector with specified complexifier.
const framed_multi< Scalar_T, LO, HI > exp(const framed_multi< Scalar_T, LO, HI > &val)
Exponential of multivector.
const Multivector< Scalar_T, LO, HI > cos(const Multivector< Scalar_T, LO, HI > &val, const Multivector< Scalar_T, LO, HI > &i, const bool prechecked=false)
Cosine of multivector with specified complexifier.
const Multivector< Scalar_T, LO, HI > tanh(const Multivector< Scalar_T, LO, HI > &val)
Hyperbolic tangent of multivector.
index_t min_neg(const index_set< LO, HI > &ist)
Minimum negative index, or 0 if none.
const Multivector< Scalar_T, LO, HI > asin(const Multivector< Scalar_T, LO, HI > &val, const Multivector< Scalar_T, LO, HI > &i, const bool prechecked=false)
Inverse sine of multivector with specified complexifier.
matrix_multi< scalar_t > Clifford
const Multivector< Scalar_T, LO, HI > complexifier(const Multivector< Scalar_T, LO, HI > &val)
Square root of -1 which commutes with all members of the frame of the given multivector.
PyObject * PyFloat_FromDouble(Scalar_T v)
const Multivector< Scalar_T, LO, HI > atan(const Multivector< Scalar_T, LO, HI > &val, const Multivector< Scalar_T, LO, HI > &i, const bool prechecked=false)
Inverse tangent of multivector with specified complexifier.
const Multivector< Scalar_T, LO, HI > tan(const Multivector< Scalar_T, LO, HI > &val, const Multivector< Scalar_T, LO, HI > &i, const bool prechecked=false)
Tangent of multivector with specified complexifier.
const Multivector< Scalar_T, LO, HI > acos(const Multivector< Scalar_T, LO, HI > &val, const Multivector< Scalar_T, LO, HI > &i, const bool prechecked=false)
Inverse cosine of multivector with specified complexifier.
String index_set_to_str(const Index_Set_T &ist)
The "informal" string representation of Index_Set_T ist.
index_t max_pos(const index_set< LO, HI > &ist)
Maximum positive index, or 0 if none.
const Multivector< Scalar_T, LO, HI > asinh(const Multivector< Scalar_T, LO, HI > &val, const Multivector< Scalar_T, LO, HI > &i, const bool prechecked=false)
Inverse hyperbolic sine of multivector with specified complexifier.
const Multivector< Scalar_T, LO, HI > operator &(const Multivector< Scalar_T, LO, HI > &lhs, const RHS< Scalar_T, LO, HI > &rhs)
Inner product.
Scalar_T max_abs(const Multivector< Scalar_T, LO, HI > &val)
Maximum of absolute values of components of multivector: multivector infinity norm.
const Multivector< Scalar_T, LO, HI > cosh(const Multivector< Scalar_T, LO, HI > &val)
Hyperbolic cosine of multivector.
bool operator!=(const Multivector< Scalar_T, LO, HI > &lhs, const RHS< Scalar_T, LO, HI > &rhs)
Test for inequality of multivectors.
Multivector_T cga3std(const Multivector_T &X)
Convert CGA3 null vector to standard Conformal Geometric Algebra null vector [DL (10.52)].
Multivector_T agc3(const Multivector_T &X)
Convert CGA3 null vector to Euclidean 3D vector [DL (10.50)].