55 #define PY_SSIZE_T_CLEAN 58 #error Python headers needed to compile C extensions, please install development version of Python. 59 #elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000) 60 #error Cython requires Python 2.6+ or Python 3.3+. 62 #define CYTHON_ABI "0_29_14" 63 #define CYTHON_HEX_VERSION 0x001D0EF0 64 #define CYTHON_FUTURE_DIVISION 0 67 #define offsetof(type, member) ( (size_t) & ((type*)0) -> member ) 69 #if !defined(WIN32) && !defined(MS_WINDOWS) 81 #define DL_IMPORT(t) t 84 #define DL_EXPORT(t) t 87 #ifndef HAVE_LONG_LONG 88 #if PY_VERSION_HEX >= 0x02070000 89 #define HAVE_LONG_LONG 93 #define PY_LONG_LONG LONG_LONG 96 #define Py_HUGE_VAL HUGE_VAL 99 #define CYTHON_COMPILING_IN_PYPY 1 100 #define CYTHON_COMPILING_IN_PYSTON 0 101 #define CYTHON_COMPILING_IN_CPYTHON 0 102 #undef CYTHON_USE_TYPE_SLOTS 103 #define CYTHON_USE_TYPE_SLOTS 0 104 #undef CYTHON_USE_PYTYPE_LOOKUP 105 #define CYTHON_USE_PYTYPE_LOOKUP 0 106 #if PY_VERSION_HEX < 0x03050000 107 #undef CYTHON_USE_ASYNC_SLOTS 108 #define CYTHON_USE_ASYNC_SLOTS 0 109 #elif !defined(CYTHON_USE_ASYNC_SLOTS) 110 #define CYTHON_USE_ASYNC_SLOTS 1 112 #undef CYTHON_USE_PYLIST_INTERNALS 113 #define CYTHON_USE_PYLIST_INTERNALS 0 114 #undef CYTHON_USE_UNICODE_INTERNALS 115 #define CYTHON_USE_UNICODE_INTERNALS 0 116 #undef CYTHON_USE_UNICODE_WRITER 117 #define CYTHON_USE_UNICODE_WRITER 0 118 #undef CYTHON_USE_PYLONG_INTERNALS 119 #define CYTHON_USE_PYLONG_INTERNALS 0 120 #undef CYTHON_AVOID_BORROWED_REFS 121 #define CYTHON_AVOID_BORROWED_REFS 1 122 #undef CYTHON_ASSUME_SAFE_MACROS 123 #define CYTHON_ASSUME_SAFE_MACROS 0 124 #undef CYTHON_UNPACK_METHODS 125 #define CYTHON_UNPACK_METHODS 0 126 #undef CYTHON_FAST_THREAD_STATE 127 #define CYTHON_FAST_THREAD_STATE 0 128 #undef CYTHON_FAST_PYCALL 129 #define CYTHON_FAST_PYCALL 0 130 #undef CYTHON_PEP489_MULTI_PHASE_INIT 131 #define CYTHON_PEP489_MULTI_PHASE_INIT 0 132 #undef CYTHON_USE_TP_FINALIZE 133 #define CYTHON_USE_TP_FINALIZE 0 134 #undef CYTHON_USE_DICT_VERSIONS 135 #define CYTHON_USE_DICT_VERSIONS 0 136 #undef CYTHON_USE_EXC_INFO_STACK 137 #define CYTHON_USE_EXC_INFO_STACK 0 138 #elif defined(PYSTON_VERSION) 139 #define CYTHON_COMPILING_IN_PYPY 0 140 #define CYTHON_COMPILING_IN_PYSTON 1 141 #define CYTHON_COMPILING_IN_CPYTHON 0 142 #ifndef CYTHON_USE_TYPE_SLOTS 143 #define CYTHON_USE_TYPE_SLOTS 1 145 #undef CYTHON_USE_PYTYPE_LOOKUP 146 #define CYTHON_USE_PYTYPE_LOOKUP 0 147 #undef CYTHON_USE_ASYNC_SLOTS 148 #define CYTHON_USE_ASYNC_SLOTS 0 149 #undef CYTHON_USE_PYLIST_INTERNALS 150 #define CYTHON_USE_PYLIST_INTERNALS 0 151 #ifndef CYTHON_USE_UNICODE_INTERNALS 152 #define CYTHON_USE_UNICODE_INTERNALS 1 154 #undef CYTHON_USE_UNICODE_WRITER 155 #define CYTHON_USE_UNICODE_WRITER 0 156 #undef CYTHON_USE_PYLONG_INTERNALS 157 #define CYTHON_USE_PYLONG_INTERNALS 0 158 #ifndef CYTHON_AVOID_BORROWED_REFS 159 #define CYTHON_AVOID_BORROWED_REFS 0 161 #ifndef CYTHON_ASSUME_SAFE_MACROS 162 #define CYTHON_ASSUME_SAFE_MACROS 1 164 #ifndef CYTHON_UNPACK_METHODS 165 #define CYTHON_UNPACK_METHODS 1 167 #undef CYTHON_FAST_THREAD_STATE 168 #define CYTHON_FAST_THREAD_STATE 0 169 #undef CYTHON_FAST_PYCALL 170 #define CYTHON_FAST_PYCALL 0 171 #undef CYTHON_PEP489_MULTI_PHASE_INIT 172 #define CYTHON_PEP489_MULTI_PHASE_INIT 0 173 #undef CYTHON_USE_TP_FINALIZE 174 #define CYTHON_USE_TP_FINALIZE 0 175 #undef CYTHON_USE_DICT_VERSIONS 176 #define CYTHON_USE_DICT_VERSIONS 0 177 #undef CYTHON_USE_EXC_INFO_STACK 178 #define CYTHON_USE_EXC_INFO_STACK 0 180 #define CYTHON_COMPILING_IN_PYPY 0 181 #define CYTHON_COMPILING_IN_PYSTON 0 182 #define CYTHON_COMPILING_IN_CPYTHON 1 183 #ifndef CYTHON_USE_TYPE_SLOTS 184 #define CYTHON_USE_TYPE_SLOTS 1 186 #if PY_VERSION_HEX < 0x02070000 187 #undef CYTHON_USE_PYTYPE_LOOKUP 188 #define CYTHON_USE_PYTYPE_LOOKUP 0 189 #elif !defined(CYTHON_USE_PYTYPE_LOOKUP) 190 #define CYTHON_USE_PYTYPE_LOOKUP 1 192 #if PY_MAJOR_VERSION < 3 193 #undef CYTHON_USE_ASYNC_SLOTS 194 #define CYTHON_USE_ASYNC_SLOTS 0 195 #elif !defined(CYTHON_USE_ASYNC_SLOTS) 196 #define CYTHON_USE_ASYNC_SLOTS 1 198 #if PY_VERSION_HEX < 0x02070000 199 #undef CYTHON_USE_PYLONG_INTERNALS 200 #define CYTHON_USE_PYLONG_INTERNALS 0 201 #elif !defined(CYTHON_USE_PYLONG_INTERNALS) 202 #define CYTHON_USE_PYLONG_INTERNALS 1 204 #ifndef CYTHON_USE_PYLIST_INTERNALS 205 #define CYTHON_USE_PYLIST_INTERNALS 1 207 #ifndef CYTHON_USE_UNICODE_INTERNALS 208 #define CYTHON_USE_UNICODE_INTERNALS 1 210 #if PY_VERSION_HEX < 0x030300F0 211 #undef CYTHON_USE_UNICODE_WRITER 212 #define CYTHON_USE_UNICODE_WRITER 0 213 #elif !defined(CYTHON_USE_UNICODE_WRITER) 214 #define CYTHON_USE_UNICODE_WRITER 1 216 #ifndef CYTHON_AVOID_BORROWED_REFS 217 #define CYTHON_AVOID_BORROWED_REFS 0 219 #ifndef CYTHON_ASSUME_SAFE_MACROS 220 #define CYTHON_ASSUME_SAFE_MACROS 1 222 #ifndef CYTHON_UNPACK_METHODS 223 #define CYTHON_UNPACK_METHODS 1 225 #ifndef CYTHON_FAST_THREAD_STATE 226 #define CYTHON_FAST_THREAD_STATE 1 228 #ifndef CYTHON_FAST_PYCALL 229 #define CYTHON_FAST_PYCALL 1 231 #ifndef CYTHON_PEP489_MULTI_PHASE_INIT 232 #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000) 234 #ifndef CYTHON_USE_TP_FINALIZE 235 #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1) 237 #ifndef CYTHON_USE_DICT_VERSIONS 238 #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1) 240 #ifndef CYTHON_USE_EXC_INFO_STACK 241 #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3) 244 #if !defined(CYTHON_FAST_PYCCALL) 245 #define CYTHON_FAST_PYCCALL (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1) 247 #if CYTHON_USE_PYLONG_INTERNALS 248 #include "longintrepr.h" 253 enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P ==
sizeof(
void*)) };
256 #ifndef __has_attribute 257 #define __has_attribute(x) 0 259 #ifndef __has_cpp_attribute 260 #define __has_cpp_attribute(x) 0 262 #ifndef CYTHON_RESTRICT 263 #if defined(__GNUC__) 264 #define CYTHON_RESTRICT __restrict__ 265 #elif defined(_MSC_VER) && _MSC_VER >= 1400 266 #define CYTHON_RESTRICT __restrict 267 #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L 268 #define CYTHON_RESTRICT restrict 270 #define CYTHON_RESTRICT 273 #ifndef CYTHON_UNUSED 274 # if defined(__GNUC__) 275 # if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4)) 276 # define CYTHON_UNUSED __attribute__ ((__unused__)) 278 # define CYTHON_UNUSED 280 # elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER)) 281 # define CYTHON_UNUSED __attribute__ ((__unused__)) 283 # define CYTHON_UNUSED 286 #ifndef CYTHON_MAYBE_UNUSED_VAR 287 # if defined(__cplusplus) 288 template<
class T>
void CYTHON_MAYBE_UNUSED_VAR(
const T& ) { }
290 # define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x) 293 #ifndef CYTHON_NCP_UNUSED 294 # if CYTHON_COMPILING_IN_CPYTHON 295 # define CYTHON_NCP_UNUSED 297 # define CYTHON_NCP_UNUSED CYTHON_UNUSED 300 #define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None) 302 #ifndef _MSC_STDINT_H_ 304 typedef unsigned char uint8_t;
305 typedef unsigned int uint32_t;
307 typedef unsigned __int8 uint8_t;
308 typedef unsigned __int32 uint32_t;
314 #ifndef CYTHON_FALLTHROUGH 315 #if defined(__cplusplus) && __cplusplus >= 201103L 316 #if __has_cpp_attribute(fallthrough) 317 #define CYTHON_FALLTHROUGH [[fallthrough]] 318 #elif __has_cpp_attribute(clang::fallthrough) 319 #define CYTHON_FALLTHROUGH [[clang::fallthrough]] 320 #elif __has_cpp_attribute(gnu::fallthrough) 321 #define CYTHON_FALLTHROUGH [[gnu::fallthrough]] 324 #ifndef CYTHON_FALLTHROUGH 325 #if __has_attribute(fallthrough) 326 #define CYTHON_FALLTHROUGH __attribute__((fallthrough)) 328 #define CYTHON_FALLTHROUGH 331 #if defined(__clang__ ) && defined(__apple_build_version__) 332 #if __apple_build_version__ < 7000000 333 #undef CYTHON_FALLTHROUGH 334 #define CYTHON_FALLTHROUGH 340 #error "Cython files generated with the C++ option must be compiled with a C++ compiler." 342 #ifndef CYTHON_INLINE 343 #if defined(__clang__) 344 #define CYTHON_INLINE __inline__ __attribute__ ((__unused__)) 346 #define CYTHON_INLINE inline 350 void __Pyx_call_destructor(T& x) {
354 class __Pyx_FakeReference {
356 __Pyx_FakeReference() : ptr(NULL) { }
357 __Pyx_FakeReference(
const T& ref) : ptr(const_cast<T*>(&ref)) { }
358 T *operator->() {
return ptr; }
360 operator T&() {
return *ptr; }
361 template<
typename U>
bool operator ==(U other) {
return *ptr == other; }
362 template<
typename U>
bool operator !=(U other) {
return *ptr != other; }
367 #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag) 368 #define Py_OptimizeFlag 0 370 #define __PYX_BUILD_PY_SSIZE_T "n" 371 #define CYTHON_FORMAT_SSIZE_T "z" 372 #if PY_MAJOR_VERSION < 3 373 #define __Pyx_BUILTIN_MODULE_NAME "__builtin__" 374 #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\ 375 PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) 376 #define __Pyx_DefaultClassType PyClass_Type 378 #define __Pyx_BUILTIN_MODULE_NAME "builtins" 379 #if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2 380 #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\ 381 PyCode_New(a, 0, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) 383 #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\ 384 PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) 386 #define __Pyx_DefaultClassType PyType_Type 388 #ifndef Py_TPFLAGS_CHECKTYPES 389 #define Py_TPFLAGS_CHECKTYPES 0 391 #ifndef Py_TPFLAGS_HAVE_INDEX 392 #define Py_TPFLAGS_HAVE_INDEX 0 394 #ifndef Py_TPFLAGS_HAVE_NEWBUFFER 395 #define Py_TPFLAGS_HAVE_NEWBUFFER 0 397 #ifndef Py_TPFLAGS_HAVE_FINALIZE 398 #define Py_TPFLAGS_HAVE_FINALIZE 0 400 #ifndef METH_STACKLESS 401 #define METH_STACKLESS 0 403 #if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL) 404 #ifndef METH_FASTCALL 405 #define METH_FASTCALL 0x80 407 typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *
self, PyObject *
const *args, Py_ssize_t nargs);
408 typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *
self, PyObject *
const *args,
409 Py_ssize_t nargs, PyObject *kwnames);
411 #define __Pyx_PyCFunctionFast _PyCFunctionFast 412 #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords 414 #if CYTHON_FAST_PYCCALL 415 #define __Pyx_PyFastCFunction_Check(func)\ 416 ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS))))) 418 #define __Pyx_PyFastCFunction_Check(func) 0 420 #if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc) 421 #define PyObject_Malloc(s) PyMem_Malloc(s) 422 #define PyObject_Free(p) PyMem_Free(p) 423 #define PyObject_Realloc(p) PyMem_Realloc(p) 425 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1 426 #define PyMem_RawMalloc(n) PyMem_Malloc(n) 427 #define PyMem_RawRealloc(p, n) PyMem_Realloc(p, n) 428 #define PyMem_RawFree(p) PyMem_Free(p) 430 #if CYTHON_COMPILING_IN_PYSTON 431 #define __Pyx_PyCode_HasFreeVars(co) PyCode_HasFreeVars(co) 432 #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno) 434 #define __Pyx_PyCode_HasFreeVars(co) (PyCode_GetNumFree(co) > 0) 435 #define __Pyx_PyFrame_SetLineNumber(frame, lineno) (frame)->f_lineno = (lineno) 437 #if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000 438 #define __Pyx_PyThreadState_Current PyThreadState_GET() 439 #elif PY_VERSION_HEX >= 0x03060000 440 #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet() 441 #elif PY_VERSION_HEX >= 0x03000000 442 #define __Pyx_PyThreadState_Current PyThreadState_GET() 444 #define __Pyx_PyThreadState_Current _PyThreadState_Current 446 #if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT) 447 #include "pythread.h" 448 #define Py_tss_NEEDS_INIT 0 449 typedef int Py_tss_t;
450 static CYTHON_INLINE
int PyThread_tss_create(Py_tss_t *key) {
451 *key = PyThread_create_key();
454 static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(
void) {
455 Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(
sizeof(Py_tss_t));
456 *key = Py_tss_NEEDS_INIT;
459 static CYTHON_INLINE
void PyThread_tss_free(Py_tss_t *key) {
462 static CYTHON_INLINE
int PyThread_tss_is_created(Py_tss_t *key) {
463 return *key != Py_tss_NEEDS_INIT;
465 static CYTHON_INLINE
void PyThread_tss_delete(Py_tss_t *key) {
466 PyThread_delete_key(*key);
467 *key = Py_tss_NEEDS_INIT;
469 static CYTHON_INLINE
int PyThread_tss_set(Py_tss_t *key,
void *value) {
470 return PyThread_set_key_value(*key, value);
472 static CYTHON_INLINE
void * PyThread_tss_get(Py_tss_t *key) {
473 return PyThread_get_key_value(*key);
476 #if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized) 477 #define __Pyx_PyDict_NewPresized(n) ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n)) 479 #define __Pyx_PyDict_NewPresized(n) PyDict_New() 481 #if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION 482 #define __Pyx_PyNumber_Divide(x,y) PyNumber_TrueDivide(x,y) 483 #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceTrueDivide(x,y) 485 #define __Pyx_PyNumber_Divide(x,y) PyNumber_Divide(x,y) 486 #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceDivide(x,y) 488 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS 489 #define __Pyx_PyDict_GetItemStr(dict, name) _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash) 491 #define __Pyx_PyDict_GetItemStr(dict, name) PyDict_GetItem(dict, name) 493 #if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND) 494 #define CYTHON_PEP393_ENABLED 1 495 #define __Pyx_PyUnicode_READY(op) (likely(PyUnicode_IS_READY(op)) ?\ 496 0 : _PyUnicode_Ready((PyObject *)(op))) 497 #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_LENGTH(u) 498 #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i) 499 #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u) PyUnicode_MAX_CHAR_VALUE(u) 500 #define __Pyx_PyUnicode_KIND(u) PyUnicode_KIND(u) 501 #define __Pyx_PyUnicode_DATA(u) PyUnicode_DATA(u) 502 #define __Pyx_PyUnicode_READ(k, d, i) PyUnicode_READ(k, d, i) 503 #define __Pyx_PyUnicode_WRITE(k, d, i, ch) PyUnicode_WRITE(k, d, i, ch) 504 #define __Pyx_PyUnicode_IS_TRUE(u) (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u))) 506 #define CYTHON_PEP393_ENABLED 0 507 #define PyUnicode_1BYTE_KIND 1 508 #define PyUnicode_2BYTE_KIND 2 509 #define PyUnicode_4BYTE_KIND 4 510 #define __Pyx_PyUnicode_READY(op) (0) 511 #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_SIZE(u) 512 #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i])) 513 #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u) ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111) 514 #define __Pyx_PyUnicode_KIND(u) (sizeof(Py_UNICODE)) 515 #define __Pyx_PyUnicode_DATA(u) ((void*)PyUnicode_AS_UNICODE(u)) 516 #define __Pyx_PyUnicode_READ(k, d, i) ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i])) 517 #define __Pyx_PyUnicode_WRITE(k, d, i, ch) (((void)(k)), ((Py_UNICODE*)d)[i] = ch) 518 #define __Pyx_PyUnicode_IS_TRUE(u) (0 != PyUnicode_GET_SIZE(u)) 520 #if CYTHON_COMPILING_IN_PYPY 521 #define __Pyx_PyUnicode_Concat(a, b) PyNumber_Add(a, b) 522 #define __Pyx_PyUnicode_ConcatSafe(a, b) PyNumber_Add(a, b) 524 #define __Pyx_PyUnicode_Concat(a, b) PyUnicode_Concat(a, b) 525 #define __Pyx_PyUnicode_ConcatSafe(a, b) ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\ 526 PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b)) 528 #if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains) 529 #define PyUnicode_Contains(u, s) PySequence_Contains(u, s) 531 #if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check) 532 #define PyByteArray_Check(obj) PyObject_TypeCheck(obj, &PyByteArray_Type) 534 #if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format) 535 #define PyObject_Format(obj, fmt) PyObject_CallMethod(obj, "__format__", "O", fmt) 537 #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)) 538 #define __Pyx_PyUnicode_FormatSafe(a, b) ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b)) 539 #if PY_MAJOR_VERSION >= 3 540 #define __Pyx_PyString_Format(a, b) PyUnicode_Format(a, b) 542 #define __Pyx_PyString_Format(a, b) PyString_Format(a, b) 544 #if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII) 545 #define PyObject_ASCII(o) PyObject_Repr(o) 547 #if PY_MAJOR_VERSION >= 3 548 #define PyBaseString_Type PyUnicode_Type 549 #define PyStringObject PyUnicodeObject 550 #define PyString_Type PyUnicode_Type 551 #define PyString_Check PyUnicode_Check 552 #define PyString_CheckExact PyUnicode_CheckExact 553 #define PyObject_Unicode PyObject_Str 555 #if PY_MAJOR_VERSION >= 3 556 #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj) 557 #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj) 559 #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj)) 560 #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj)) 562 #ifndef PySet_CheckExact 563 #define PySet_CheckExact(obj) (Py_TYPE(obj) == &PySet_Type) 565 #if CYTHON_ASSUME_SAFE_MACROS 566 #define __Pyx_PySequence_SIZE(seq) Py_SIZE(seq) 568 #define __Pyx_PySequence_SIZE(seq) PySequence_Size(seq) 570 #if PY_MAJOR_VERSION >= 3 571 #define PyIntObject PyLongObject 572 #define PyInt_Type PyLong_Type 573 #define PyInt_Check(op) PyLong_Check(op) 574 #define PyInt_CheckExact(op) PyLong_CheckExact(op) 575 #define PyInt_FromString PyLong_FromString 576 #define PyInt_FromUnicode PyLong_FromUnicode 577 #define PyInt_FromLong PyLong_FromLong 578 #define PyInt_FromSize_t PyLong_FromSize_t 579 #define PyInt_FromSsize_t PyLong_FromSsize_t 580 #define PyInt_AsLong PyLong_AsLong 581 #define PyInt_AS_LONG PyLong_AS_LONG 582 #define PyInt_AsSsize_t PyLong_AsSsize_t 583 #define PyInt_AsUnsignedLongMask PyLong_AsUnsignedLongMask 584 #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask 585 #define PyNumber_Int PyNumber_Long 587 #if PY_MAJOR_VERSION >= 3 588 #define PyBoolObject PyLongObject 590 #if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY 591 #ifndef PyUnicode_InternFromString 592 #define PyUnicode_InternFromString(s) PyUnicode_FromString(s) 595 #if PY_VERSION_HEX < 0x030200A4 596 typedef long Py_hash_t;
597 #define __Pyx_PyInt_FromHash_t PyInt_FromLong 598 #define __Pyx_PyInt_AsHash_t PyInt_AsLong 600 #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t 601 #define __Pyx_PyInt_AsHash_t PyInt_AsSsize_t 603 #if PY_MAJOR_VERSION >= 3 604 #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : (Py_INCREF(func), func)) 606 #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass) 608 #if CYTHON_USE_ASYNC_SLOTS 609 #if PY_VERSION_HEX >= 0x030500B1 610 #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods 611 #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async) 613 #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved)) 616 #define __Pyx_PyType_AsAsync(obj) NULL 618 #ifndef __Pyx_PyAsyncMethodsStruct 623 } __Pyx_PyAsyncMethodsStruct;
626 #if defined(WIN32) || defined(MS_WINDOWS) 627 #define _USE_MATH_DEFINES 631 #define __PYX_NAN() ((float) NAN) 633 static CYTHON_INLINE
float __PYX_NAN() {
635 memset(&value, 0xFF,
sizeof(value));
639 #if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL) 640 #define __Pyx_truncl trunc 642 #define __Pyx_truncl truncl 646 #define __PYX_ERR(f_index, lineno, Ln_error) \ 648 __pyx_filename = __pyx_f[f_index]; __pyx_lineno = lineno; __pyx_clineno = __LINE__; goto Ln_error; \ 651 #ifndef __PYX_EXTERN_C 653 #define __PYX_EXTERN_C extern "C" 655 #define __PYX_EXTERN_C extern 659 #define __PYX_HAVE__PyClical 660 #define __PYX_HAVE_API__PyClical 672 #if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS) 673 #define CYTHON_WITHOUT_ASSERTIONS 676 typedef struct {PyObject **p;
const char *s;
const Py_ssize_t n;
const char* encoding;
677 const char is_unicode;
const char is_str;
const char intern; } __Pyx_StringTabEntry;
679 #define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0 680 #define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0 681 #define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8) 682 #define __PYX_DEFAULT_STRING_ENCODING "" 683 #define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString 684 #define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize 685 #define __Pyx_uchar_cast(c) ((unsigned char)c) 686 #define __Pyx_long_cast(x) ((long)x) 687 #define __Pyx_fits_Py_ssize_t(v, type, is_signed) (\ 688 (sizeof(type) < sizeof(Py_ssize_t)) ||\ 689 (sizeof(type) > sizeof(Py_ssize_t) &&\ 690 likely(v < (type)PY_SSIZE_T_MAX ||\ 691 v == (type)PY_SSIZE_T_MAX) &&\ 692 (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\ 693 v == (type)PY_SSIZE_T_MIN))) ||\ 694 (sizeof(type) == sizeof(Py_ssize_t) &&\ 695 (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\ 696 v == (type)PY_SSIZE_T_MAX))) ) 697 static CYTHON_INLINE
int __Pyx_is_valid_index(Py_ssize_t
i, Py_ssize_t limit) {
698 return (
size_t)
i < (size_t) limit;
700 #if defined (__cplusplus) && __cplusplus >= 201103L 702 #define __Pyx_sst_abs(value) std::abs(value) 703 #elif SIZEOF_INT >= SIZEOF_SIZE_T 704 #define __Pyx_sst_abs(value) abs(value) 705 #elif SIZEOF_LONG >= SIZEOF_SIZE_T 706 #define __Pyx_sst_abs(value) labs(value) 707 #elif defined (_MSC_VER) 708 #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value)) 709 #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L 710 #define __Pyx_sst_abs(value) llabs(value) 711 #elif defined (__GNUC__) 712 #define __Pyx_sst_abs(value) __builtin_llabs(value) 714 #define __Pyx_sst_abs(value) ((value<0) ? -value : value) 716 static CYTHON_INLINE
const char* __Pyx_PyObject_AsString(PyObject*);
717 static CYTHON_INLINE
const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
718 #define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s)) 719 #define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l) 720 #define __Pyx_PyBytes_FromString PyBytes_FromString 721 #define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize 722 static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(
const char*);
723 #if PY_MAJOR_VERSION < 3 724 #define __Pyx_PyStr_FromString __Pyx_PyBytes_FromString 725 #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize 727 #define __Pyx_PyStr_FromString __Pyx_PyUnicode_FromString 728 #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize 730 #define __Pyx_PyBytes_AsWritableString(s) ((char*) PyBytes_AS_STRING(s)) 731 #define __Pyx_PyBytes_AsWritableSString(s) ((signed char*) PyBytes_AS_STRING(s)) 732 #define __Pyx_PyBytes_AsWritableUString(s) ((unsigned char*) PyBytes_AS_STRING(s)) 733 #define __Pyx_PyBytes_AsString(s) ((const char*) PyBytes_AS_STRING(s)) 734 #define __Pyx_PyBytes_AsSString(s) ((const signed char*) PyBytes_AS_STRING(s)) 735 #define __Pyx_PyBytes_AsUString(s) ((const unsigned char*) PyBytes_AS_STRING(s)) 736 #define __Pyx_PyObject_AsWritableString(s) ((char*) __Pyx_PyObject_AsString(s)) 737 #define __Pyx_PyObject_AsWritableSString(s) ((signed char*) __Pyx_PyObject_AsString(s)) 738 #define __Pyx_PyObject_AsWritableUString(s) ((unsigned char*) __Pyx_PyObject_AsString(s)) 739 #define __Pyx_PyObject_AsSString(s) ((const signed char*) __Pyx_PyObject_AsString(s)) 740 #define __Pyx_PyObject_AsUString(s) ((const unsigned char*) __Pyx_PyObject_AsString(s)) 741 #define __Pyx_PyObject_FromCString(s) __Pyx_PyObject_FromString((const char*)s) 742 #define __Pyx_PyBytes_FromCString(s) __Pyx_PyBytes_FromString((const char*)s) 743 #define __Pyx_PyByteArray_FromCString(s) __Pyx_PyByteArray_FromString((const char*)s) 744 #define __Pyx_PyStr_FromCString(s) __Pyx_PyStr_FromString((const char*)s) 745 #define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s) 746 static CYTHON_INLINE
size_t __Pyx_Py_UNICODE_strlen(
const Py_UNICODE *u) {
747 const Py_UNICODE *u_end = u;
749 return (
size_t)(u_end - u - 1);
751 #define __Pyx_PyUnicode_FromUnicode(u) PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u)) 752 #define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode 753 #define __Pyx_PyUnicode_AsUnicode PyUnicode_AsUnicode 754 #define __Pyx_NewRef(obj) (Py_INCREF(obj), obj) 755 #define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None) 756 static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(
long b);
757 static CYTHON_INLINE
int __Pyx_PyObject_IsTrue(PyObject*);
758 static CYTHON_INLINE
int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
759 static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
760 #define __Pyx_PySequence_Tuple(obj)\ 761 (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj)) 762 static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
763 static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(
size_t);
764 #if CYTHON_ASSUME_SAFE_MACROS 765 #define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x)) 767 #define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x) 769 #define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x)) 770 #if PY_MAJOR_VERSION >= 3 771 #define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x)) 773 #define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x)) 775 #define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x)) 776 #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 777 static int __Pyx_sys_getdefaultencoding_not_ascii;
778 static int __Pyx_init_sys_getdefaultencoding_params(
void) {
780 PyObject* default_encoding = NULL;
781 PyObject* ascii_chars_u = NULL;
782 PyObject* ascii_chars_b = NULL;
783 const char* default_encoding_c;
784 sys = PyImport_ImportModule(
"sys");
786 default_encoding = PyObject_CallMethod(sys, (
char*)
"getdefaultencoding", NULL);
788 if (!default_encoding)
goto bad;
789 default_encoding_c = PyBytes_AsString(default_encoding);
790 if (!default_encoding_c)
goto bad;
791 if (strcmp(default_encoding_c,
"ascii") == 0) {
792 __Pyx_sys_getdefaultencoding_not_ascii = 0;
794 char ascii_chars[128];
796 for (c = 0; c < 128; c++) {
799 __Pyx_sys_getdefaultencoding_not_ascii = 1;
800 ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
801 if (!ascii_chars_u)
goto bad;
802 ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
803 if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
806 "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
810 Py_DECREF(ascii_chars_u);
811 Py_DECREF(ascii_chars_b);
813 Py_DECREF(default_encoding);
816 Py_XDECREF(default_encoding);
817 Py_XDECREF(ascii_chars_u);
818 Py_XDECREF(ascii_chars_b);
822 #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3 823 #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL) 825 #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL) 826 #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 827 static char* __PYX_DEFAULT_STRING_ENCODING;
828 static int __Pyx_init_sys_getdefaultencoding_params(
void) {
830 PyObject* default_encoding = NULL;
831 char* default_encoding_c;
832 sys = PyImport_ImportModule(
"sys");
834 default_encoding = PyObject_CallMethod(sys, (
char*) (
const char*)
"getdefaultencoding", NULL);
836 if (!default_encoding)
goto bad;
837 default_encoding_c = PyBytes_AsString(default_encoding);
838 if (!default_encoding_c)
goto bad;
839 __PYX_DEFAULT_STRING_ENCODING = (
char*) malloc(strlen(default_encoding_c) + 1);
840 if (!__PYX_DEFAULT_STRING_ENCODING)
goto bad;
841 strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
842 Py_DECREF(default_encoding);
845 Py_XDECREF(default_encoding);
853 #if defined(__GNUC__) && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95))) 854 #define likely(x) __builtin_expect(!!(x), 1) 855 #define unlikely(x) __builtin_expect(!!(x), 0) 857 #define likely(x) (x) 858 #define unlikely(x) (x) 860 static CYTHON_INLINE
void __Pyx_pretend_to_initialize(
void* ptr) { (void)ptr; }
862 static PyObject *__pyx_m = NULL;
863 static PyObject *__pyx_d;
864 static PyObject *__pyx_b;
865 static PyObject *__pyx_cython_runtime = NULL;
866 static PyObject *__pyx_empty_tuple;
867 static PyObject *__pyx_empty_bytes;
868 static PyObject *__pyx_empty_unicode;
869 static int __pyx_lineno;
870 static int __pyx_clineno = 0;
871 static const char * __pyx_cfilenm= __FILE__;
872 static const char *__pyx_filename;
875 static const char *__pyx_f[] = {
881 struct __pyx_obj_8PyClical_index_set;
882 struct __pyx_obj_8PyClical_clifford;
883 struct __pyx_obj_8PyClical___pyx_scope_struct____iter__;
884 struct __pyx_opt_args_8PyClical_sqrt;
885 struct __pyx_opt_args_8PyClical_log;
886 struct __pyx_opt_args_8PyClical_cos;
887 struct __pyx_opt_args_8PyClical_acos;
888 struct __pyx_opt_args_8PyClical_acosh;
889 struct __pyx_opt_args_8PyClical_sin;
890 struct __pyx_opt_args_8PyClical_asin;
891 struct __pyx_opt_args_8PyClical_asinh;
892 struct __pyx_opt_args_8PyClical_tan;
893 struct __pyx_opt_args_8PyClical_atan;
894 struct __pyx_opt_args_8PyClical_atanh;
895 struct __pyx_opt_args_8PyClical_random_clifford;
904 struct __pyx_opt_args_8PyClical_sqrt {
916 struct __pyx_opt_args_8PyClical_log {
928 struct __pyx_opt_args_8PyClical_cos {
940 struct __pyx_opt_args_8PyClical_acos {
952 struct __pyx_opt_args_8PyClical_acosh {
964 struct __pyx_opt_args_8PyClical_sin {
976 struct __pyx_opt_args_8PyClical_asin {
988 struct __pyx_opt_args_8PyClical_asinh {
1000 struct __pyx_opt_args_8PyClical_tan {
1012 struct __pyx_opt_args_8PyClical_atan {
1024 struct __pyx_opt_args_8PyClical_atanh {
1036 struct __pyx_opt_args_8PyClical_random_clifford {
1048 struct __pyx_obj_8PyClical_index_set {
1050 struct __pyx_vtabstruct_8PyClical_index_set *__pyx_vtab;
1062 struct __pyx_obj_8PyClical_clifford {
1064 struct __pyx_vtabstruct_8PyClical_clifford *__pyx_vtab;
1076 struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ {
1078 PyObject *__pyx_v_idx;
1079 struct __pyx_obj_8PyClical_index_set *__pyx_v_self;
1080 PyObject *__pyx_t_0;
1081 Py_ssize_t __pyx_t_1;
1082 PyObject *(*__pyx_t_2)(PyObject *);
1095 struct __pyx_vtabstruct_8PyClical_index_set {
1096 PyObject *(*wrap)(
struct __pyx_obj_8PyClical_index_set *,
IndexSet);
1097 IndexSet (*unwrap)(
struct __pyx_obj_8PyClical_index_set *);
1098 PyObject *(*copy)(
struct __pyx_obj_8PyClical_index_set *,
int __pyx_skip_dispatch);
1100 static struct __pyx_vtabstruct_8PyClical_index_set *__pyx_vtabptr_8PyClical_index_set;
1101 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_9index_set_wrap(
struct __pyx_obj_8PyClical_index_set *,
IndexSet);
1102 static CYTHON_INLINE
IndexSet __pyx_f_8PyClical_9index_set_unwrap(
struct __pyx_obj_8PyClical_index_set *);
1113 struct __pyx_vtabstruct_8PyClical_clifford {
1114 PyObject *(*wrap)(
struct __pyx_obj_8PyClical_clifford *,
Clifford);
1115 Clifford (*unwrap)(
struct __pyx_obj_8PyClical_clifford *);
1116 PyObject *(*copy)(
struct __pyx_obj_8PyClical_clifford *,
int __pyx_skip_dispatch);
1118 static struct __pyx_vtabstruct_8PyClical_clifford *__pyx_vtabptr_8PyClical_clifford;
1119 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_8clifford_wrap(
struct __pyx_obj_8PyClical_clifford *,
Clifford);
1120 static CYTHON_INLINE
Clifford __pyx_f_8PyClical_8clifford_unwrap(
struct __pyx_obj_8PyClical_clifford *);
1124 #ifndef CYTHON_REFNANNY 1125 #define CYTHON_REFNANNY 0 1129 void (*INCREF)(
void*, PyObject*, int);
1130 void (*DECREF)(
void*, PyObject*, int);
1131 void (*GOTREF)(
void*, PyObject*, int);
1132 void (*GIVEREF)(
void*, PyObject*, int);
1133 void* (*SetupContext)(
const char*, int,
const char*);
1134 void (*FinishContext)(
void**);
1135 } __Pyx_RefNannyAPIStruct;
1136 static __Pyx_RefNannyAPIStruct *__Pyx_RefNanny = NULL;
1137 static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(
const char *modname);
1138 #define __Pyx_RefNannyDeclarations void *__pyx_refnanny = NULL; 1140 #define __Pyx_RefNannySetupContext(name, acquire_gil)\ 1142 PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\ 1143 __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__);\ 1144 PyGILState_Release(__pyx_gilstate_save);\ 1146 __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__);\ 1149 #define __Pyx_RefNannySetupContext(name, acquire_gil)\ 1150 __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__) 1152 #define __Pyx_RefNannyFinishContext()\ 1153 __Pyx_RefNanny->FinishContext(&__pyx_refnanny) 1154 #define __Pyx_INCREF(r) __Pyx_RefNanny->INCREF(__pyx_refnanny, (PyObject *)(r), __LINE__) 1155 #define __Pyx_DECREF(r) __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), __LINE__) 1156 #define __Pyx_GOTREF(r) __Pyx_RefNanny->GOTREF(__pyx_refnanny, (PyObject *)(r), __LINE__) 1157 #define __Pyx_GIVEREF(r) __Pyx_RefNanny->GIVEREF(__pyx_refnanny, (PyObject *)(r), __LINE__) 1158 #define __Pyx_XINCREF(r) do { if((r) != NULL) {__Pyx_INCREF(r); }} while(0) 1159 #define __Pyx_XDECREF(r) do { if((r) != NULL) {__Pyx_DECREF(r); }} while(0) 1160 #define __Pyx_XGOTREF(r) do { if((r) != NULL) {__Pyx_GOTREF(r); }} while(0) 1161 #define __Pyx_XGIVEREF(r) do { if((r) != NULL) {__Pyx_GIVEREF(r);}} while(0) 1163 #define __Pyx_RefNannyDeclarations 1164 #define __Pyx_RefNannySetupContext(name, acquire_gil) 1165 #define __Pyx_RefNannyFinishContext() 1166 #define __Pyx_INCREF(r) Py_INCREF(r) 1167 #define __Pyx_DECREF(r) Py_DECREF(r) 1168 #define __Pyx_GOTREF(r) 1169 #define __Pyx_GIVEREF(r) 1170 #define __Pyx_XINCREF(r) Py_XINCREF(r) 1171 #define __Pyx_XDECREF(r) Py_XDECREF(r) 1172 #define __Pyx_XGOTREF(r) 1173 #define __Pyx_XGIVEREF(r) 1175 #define __Pyx_XDECREF_SET(r, v) do {\ 1176 PyObject *tmp = (PyObject *) r;\ 1177 r = v; __Pyx_XDECREF(tmp);\ 1179 #define __Pyx_DECREF_SET(r, v) do {\ 1180 PyObject *tmp = (PyObject *) r;\ 1181 r = v; __Pyx_DECREF(tmp);\ 1183 #define __Pyx_CLEAR(r) do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0) 1184 #define __Pyx_XCLEAR(r) do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0) 1187 #if CYTHON_USE_TYPE_SLOTS 1188 static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject*
obj, PyObject* attr_name);
1190 #define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n) 1194 static PyObject *__Pyx_GetBuiltinName(PyObject *name);
1197 #if CYTHON_FAST_PYCCALL 1198 static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
1200 #define __Pyx_PyCFunction_FastCall(func, args, nargs) (assert(0), NULL) 1204 #if CYTHON_FAST_PYCALL 1205 #define __Pyx_PyFunction_FastCall(func, args, nargs)\ 1206 __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL) 1207 #if 1 || PY_VERSION_HEX < 0x030600B1 1208 static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
1210 #define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, kwargs) 1212 #define __Pyx_BUILD_ASSERT_EXPR(cond)\ 1213 (sizeof(char [1 - 2*!(cond)]) - 1) 1214 #ifndef Py_MEMBER_SIZE 1215 #define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member) 1217 static size_t __pyx_pyframe_localsplus_offset = 0;
1218 #include "frameobject.h" 1219 #define __Pxy_PyFrame_Initialize_Offsets()\ 1220 ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\ 1221 (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus))) 1222 #define __Pyx_PyFrame_GetLocalsplus(frame)\ 1223 (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset)) 1227 #if CYTHON_COMPILING_IN_CPYTHON 1228 static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
1230 #define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw) 1234 #if CYTHON_COMPILING_IN_CPYTHON 1235 static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
1239 static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);
1242 #if CYTHON_FAST_THREAD_STATE 1243 #define __Pyx_PyThreadState_declare PyThreadState *__pyx_tstate; 1244 #define __Pyx_PyThreadState_assign __pyx_tstate = __Pyx_PyThreadState_Current; 1245 #define __Pyx_PyErr_Occurred() __pyx_tstate->curexc_type 1247 #define __Pyx_PyThreadState_declare 1248 #define __Pyx_PyThreadState_assign 1249 #define __Pyx_PyErr_Occurred() PyErr_Occurred() 1253 #if CYTHON_FAST_THREAD_STATE 1254 #define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL) 1255 #define __Pyx_ErrRestoreWithState(type, value, tb) __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb) 1256 #define __Pyx_ErrFetchWithState(type, value, tb) __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb) 1257 #define __Pyx_ErrRestore(type, value, tb) __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb) 1258 #define __Pyx_ErrFetch(type, value, tb) __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb) 1259 static CYTHON_INLINE
void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
1260 static CYTHON_INLINE
void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
1261 #if CYTHON_COMPILING_IN_CPYTHON 1262 #define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL)) 1264 #define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc) 1267 #define __Pyx_PyErr_Clear() PyErr_Clear() 1268 #define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc) 1269 #define __Pyx_ErrRestoreWithState(type, value, tb) PyErr_Restore(type, value, tb) 1270 #define __Pyx_ErrFetchWithState(type, value, tb) PyErr_Fetch(type, value, tb) 1271 #define __Pyx_ErrRestoreInState(tstate, type, value, tb) PyErr_Restore(type, value, tb) 1272 #define __Pyx_ErrFetchInState(tstate, type, value, tb) PyErr_Fetch(type, value, tb) 1273 #define __Pyx_ErrRestore(type, value, tb) PyErr_Restore(type, value, tb) 1274 #define __Pyx_ErrFetch(type, value, tb) PyErr_Fetch(type, value, tb) 1278 static void __Pyx_WriteUnraisable(
const char *name,
int clineno,
1279 int lineno,
const char *filename,
1280 int full_traceback,
int nogil);
1283 #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS 1284 #define __PYX_DICT_VERSION_INIT ((PY_UINT64_T) -1) 1285 #define __PYX_GET_DICT_VERSION(dict) (((PyDictObject*)(dict))->ma_version_tag) 1286 #define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\ 1287 (version_var) = __PYX_GET_DICT_VERSION(dict);\ 1288 (cache_var) = (value); 1289 #define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\ 1290 static PY_UINT64_T __pyx_dict_version = 0;\ 1291 static PyObject *__pyx_dict_cached_value = NULL;\ 1292 if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\ 1293 (VAR) = __pyx_dict_cached_value;\ 1295 (VAR) = __pyx_dict_cached_value = (LOOKUP);\ 1296 __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\ 1299 static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *
obj);
1300 static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *
obj);
1301 static CYTHON_INLINE
int __Pyx_object_dict_version_matches(PyObject*
obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
1303 #define __PYX_GET_DICT_VERSION(dict) (0) 1304 #define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var) 1305 #define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) (VAR) = (LOOKUP); 1309 #if CYTHON_COMPILING_IN_CPYTHON 1310 static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
1312 #define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL) 1316 static void __Pyx_RaiseDoubleKeywordsError(
const char* func_name, PyObject* kw_name);
1319 static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
1320 PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,\
1321 const char* function_name);
1324 static void __Pyx_RaiseArgtupleInvalid(
const char* func_name,
int exact,
1325 Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);
1328 #if CYTHON_USE_DICT_VERSIONS 1329 #define __Pyx_GetModuleGlobalName(var, name) {\ 1330 static PY_UINT64_T __pyx_dict_version = 0;\ 1331 static PyObject *__pyx_dict_cached_value = NULL;\ 1332 (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_d))) ?\ 1333 (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\ 1334 __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\ 1336 #define __Pyx_GetModuleGlobalNameUncached(var, name) {\ 1337 PY_UINT64_T __pyx_dict_version;\ 1338 PyObject *__pyx_dict_cached_value;\ 1339 (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\ 1341 static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
1343 #define __Pyx_GetModuleGlobalName(var, name) (var) = __Pyx__GetModuleGlobalName(name) 1344 #define __Pyx_GetModuleGlobalNameUncached(var, name) (var) = __Pyx__GetModuleGlobalName(name) 1345 static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
1349 #if CYTHON_USE_EXC_INFO_STACK 1350 static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
1354 #if CYTHON_FAST_THREAD_STATE 1355 #define __Pyx_ExceptionSave(type, value, tb) __Pyx__ExceptionSave(__pyx_tstate, type, value, tb) 1356 static CYTHON_INLINE
void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
1357 #define __Pyx_ExceptionReset(type, value, tb) __Pyx__ExceptionReset(__pyx_tstate, type, value, tb) 1358 static CYTHON_INLINE
void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
1360 #define __Pyx_ExceptionSave(type, value, tb) PyErr_GetExcInfo(type, value, tb) 1361 #define __Pyx_ExceptionReset(type, value, tb) PyErr_SetExcInfo(type, value, tb) 1365 #if CYTHON_FAST_THREAD_STATE 1366 #define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err) 1367 static CYTHON_INLINE
int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
1369 #define __Pyx_PyErr_ExceptionMatches(err) PyErr_ExceptionMatches(err) 1373 #if CYTHON_FAST_THREAD_STATE 1374 #define __Pyx_GetException(type, value, tb) __Pyx__GetException(__pyx_tstate, type, value, tb) 1375 static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
1377 static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
1381 static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
1384 #if !CYTHON_COMPILING_IN_PYPY 1385 static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2,
long intval,
int inplace,
int zerodivision_check);
1387 #define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace, zerodivision_check)\ 1388 (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2)) 1392 static CYTHON_INLINE
int __Pyx_PySequence_ContainsTF(PyObject* item, PyObject* seq,
int eq) {
1393 int result = PySequence_Contains(seq, item);
1394 return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
1398 #define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\ 1399 (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\ 1400 __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck) :\ 1401 (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) :\ 1402 __Pyx_SetItemInt_Generic(o, to_py_func(i), v))) 1403 static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
1404 static CYTHON_INLINE
int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t
i, PyObject *v,
1405 int is_list,
int wraparound,
int boundscheck);
1408 static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject*
function, PyObject* arg1, PyObject* arg2);
1411 #define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\ 1412 ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\ 1413 __Pyx__ArgTypeTest(obj, type, name, exact)) 1414 static int __Pyx__ArgTypeTest(PyObject *
obj, PyTypeObject *type,
const char *name,
int exact);
1417 static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list,
int level);
1423 #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000 1424 static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject*
obj, PyObject* attr_name);
1426 #define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr 1430 #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000 1431 static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject*
obj, PyObject* attr_name);
1433 #define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr 1437 static int __Pyx_SetVtable(PyObject *dict,
void *vtable);
1440 static int __Pyx_setup_reduce(PyObject* type_obj);
1443 #if !CYTHON_COMPILING_IN_PYPY 1444 static PyObject* __Pyx_PyFloat_DivideObjC(PyObject *op1, PyObject *op2,
double floatval,
int inplace,
int zerodivision_check);
1446 #define __Pyx_PyFloat_DivideObjC(op1, op2, floatval, inplace, zerodivision_check)\ 1447 ((inplace ? __Pyx_PyNumber_InPlaceDivide(op1, op2) : __Pyx_PyNumber_Divide(op1, op2))) 1451 static CYTHON_INLINE
int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2,
int equals);
1454 static CYTHON_INLINE
int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2,
int equals);
1457 #if PY_MAJOR_VERSION >= 3 1458 #define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals 1460 #define __Pyx_PyString_Equals __Pyx_PyBytes_Equals 1464 #ifdef CYTHON_CLINE_IN_TRACEBACK 1465 #define __Pyx_CLineForTraceback(tstate, c_line) (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0) 1467 static int __Pyx_CLineForTraceback(PyThreadState *tstate,
int c_line);
1472 PyCodeObject* code_object;
1474 } __Pyx_CodeObjectCacheEntry;
1475 struct __Pyx_CodeObjectCache {
1478 __Pyx_CodeObjectCacheEntry* entries;
1480 static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
1481 static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries,
int count,
int code_line);
1482 static PyCodeObject *__pyx_find_code_object(
int code_line);
1483 static void __pyx_insert_code_object(
int code_line, PyCodeObject* code_object);
1486 static void __Pyx_AddTraceback(
const char *funcname,
int c_line,
1487 int py_line,
const char *filename);
1490 #ifndef __Pyx_CppExn2PyErr 1493 #include <stdexcept> 1495 static void __Pyx_CppExn2PyErr() {
1497 if (PyErr_Occurred())
1501 }
catch (
const std::bad_alloc& exn) {
1502 PyErr_SetString(PyExc_MemoryError, exn.what());
1503 }
catch (
const std::bad_cast& exn) {
1504 PyErr_SetString(PyExc_TypeError, exn.what());
1505 }
catch (
const std::bad_typeid& exn) {
1506 PyErr_SetString(PyExc_TypeError, exn.what());
1507 }
catch (
const std::domain_error& exn) {
1508 PyErr_SetString(PyExc_ValueError, exn.what());
1509 }
catch (
const std::invalid_argument& exn) {
1510 PyErr_SetString(PyExc_ValueError, exn.what());
1511 }
catch (
const std::ios_base::failure& exn) {
1512 PyErr_SetString(PyExc_IOError, exn.what());
1513 }
catch (
const std::out_of_range& exn) {
1514 PyErr_SetString(PyExc_IndexError, exn.what());
1515 }
catch (
const std::overflow_error& exn) {
1516 PyErr_SetString(PyExc_OverflowError, exn.what());
1517 }
catch (
const std::range_error& exn) {
1518 PyErr_SetString(PyExc_ArithmeticError, exn.what());
1519 }
catch (
const std::underflow_error& exn) {
1520 PyErr_SetString(PyExc_ArithmeticError, exn.what());
1521 }
catch (
const std::exception& exn) {
1522 PyErr_SetString(PyExc_RuntimeError, exn.what());
1526 PyErr_SetString(PyExc_RuntimeError,
"Unknown exception");
1532 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(
int value);
1535 static CYTHON_INLINE
int __Pyx_PyInt_As_int(PyObject *);
1538 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(
long value);
1541 static CYTHON_INLINE
long __Pyx_PyInt_As_long(PyObject *);
1544 #if CYTHON_COMPILING_IN_CPYTHON 1545 #define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type) 1546 static CYTHON_INLINE
int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
1547 static CYTHON_INLINE
int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
1548 static CYTHON_INLINE
int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
1550 #define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type) 1551 #define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type) 1552 #define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2)) 1554 #define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception) 1557 static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);
1560 #if CYTHON_FAST_THREAD_STATE 1561 #define __Pyx_ExceptionSwap(type, value, tb) __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb) 1562 static CYTHON_INLINE
void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
1564 static CYTHON_INLINE
void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
1568 static int __Pyx_PyObject_GetMethod(PyObject *
obj, PyObject *name, PyObject **method);
1571 static PyObject* __Pyx_PyObject_CallMethod1(PyObject*
obj, PyObject* method_name, PyObject* arg);
1574 typedef PyObject *(*__pyx_coroutine_body_t)(PyObject *, PyThreadState *, PyObject *);
1575 #if CYTHON_USE_EXC_INFO_STACK 1576 #define __Pyx_ExcInfoStruct _PyErr_StackItem 1580 PyObject *exc_value;
1581 PyObject *exc_traceback;
1582 } __Pyx_ExcInfoStruct;
1586 __pyx_coroutine_body_t body;
1588 __Pyx_ExcInfoStruct gi_exc_state;
1589 PyObject *gi_weakreflist;
1591 PyObject *yieldfrom;
1593 PyObject *gi_qualname;
1594 PyObject *gi_modulename;
1598 } __pyx_CoroutineObject;
1599 static __pyx_CoroutineObject *__Pyx__Coroutine_New(
1600 PyTypeObject *type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
1601 PyObject *name, PyObject *qualname, PyObject *module_name);
1602 static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
1603 __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
1604 PyObject *name, PyObject *qualname, PyObject *module_name);
1605 static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *
self);
1606 static int __Pyx_Coroutine_clear(PyObject *
self);
1607 static PyObject *__Pyx_Coroutine_Send(PyObject *
self, PyObject *value);
1608 static PyObject *__Pyx_Coroutine_Close(PyObject *
self);
1609 static PyObject *__Pyx_Coroutine_Throw(PyObject *gen, PyObject *args);
1610 #if CYTHON_USE_EXC_INFO_STACK 1611 #define __Pyx_Coroutine_SwapException(self) 1612 #define __Pyx_Coroutine_ResetAndClearException(self) __Pyx_Coroutine_ExceptionClear(&(self)->gi_exc_state) 1614 #define __Pyx_Coroutine_SwapException(self) {\ 1615 __Pyx_ExceptionSwap(&(self)->gi_exc_state.exc_type, &(self)->gi_exc_state.exc_value, &(self)->gi_exc_state.exc_traceback);\ 1616 __Pyx_Coroutine_ResetFrameBackpointer(&(self)->gi_exc_state);\ 1618 #define __Pyx_Coroutine_ResetAndClearException(self) {\ 1619 __Pyx_ExceptionReset((self)->gi_exc_state.exc_type, (self)->gi_exc_state.exc_value, (self)->gi_exc_state.exc_traceback);\ 1620 (self)->gi_exc_state.exc_type = (self)->gi_exc_state.exc_value = (self)->gi_exc_state.exc_traceback = NULL;\ 1623 #if CYTHON_FAST_THREAD_STATE 1624 #define __Pyx_PyGen_FetchStopIterationValue(pvalue)\ 1625 __Pyx_PyGen__FetchStopIterationValue(__pyx_tstate, pvalue) 1627 #define __Pyx_PyGen_FetchStopIterationValue(pvalue)\ 1628 __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, pvalue) 1630 static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *tstate, PyObject **pvalue);
1631 static CYTHON_INLINE
void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state);
1634 static PyObject* __Pyx_Coroutine_patch_module(PyObject* module,
const char* py_code);
1637 static int __Pyx_patch_abc(
void);
1640 #define __Pyx_Generator_USED 1641 static PyTypeObject *__pyx_GeneratorType = 0;
1642 #define __Pyx_Generator_CheckExact(obj) (Py_TYPE(obj) == __pyx_GeneratorType) 1643 #define __Pyx_Generator_New(body, code, closure, name, qualname, module_name)\ 1644 __Pyx__Coroutine_New(__pyx_GeneratorType, body, code, closure, name, qualname, module_name) 1645 static PyObject *__Pyx_Generator_Next(PyObject *
self);
1646 static int __pyx_Generator_init(
void);
1649 static int __Pyx_check_binary_version(
void);
1652 static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
1654 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_9index_set_wrap(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self,
IndexSet __pyx_v_other);
1655 static CYTHON_INLINE
IndexSet __pyx_f_8PyClical_9index_set_unwrap(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
1656 static PyObject *__pyx_f_8PyClical_9index_set_copy(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self,
int __pyx_skip_dispatch);
1657 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_8clifford_wrap(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self,
Clifford __pyx_v_other);
1658 static CYTHON_INLINE
Clifford __pyx_f_8PyClical_8clifford_unwrap(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
1659 static PyObject *__pyx_f_8PyClical_8clifford_copy(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self,
int __pyx_skip_dispatch);
1666 static PyTypeObject *__pyx_ptype_8PyClical_index_set = 0;
1667 static PyTypeObject *__pyx_ptype_8PyClical_clifford = 0;
1668 static PyTypeObject *__pyx_ptype_8PyClical___pyx_scope_struct____iter__ = 0;
1669 static CYTHON_INLINE
IndexSet __pyx_f_8PyClical_toIndexSet(PyObject *);
1670 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_compare(PyObject *, PyObject *,
int __pyx_skip_dispatch);
1671 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_min_neg(PyObject *,
int __pyx_skip_dispatch);
1672 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_max_pos(PyObject *,
int __pyx_skip_dispatch);
1673 static CYTHON_INLINE std::vector<scalar_t> __pyx_f_8PyClical_list_to_vector(PyObject *);
1674 static CYTHON_INLINE
Clifford __pyx_f_8PyClical_toClifford(PyObject *);
1675 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_inv(PyObject *,
int __pyx_skip_dispatch);
1676 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_scalar(PyObject *,
int __pyx_skip_dispatch);
1677 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_real(PyObject *,
int __pyx_skip_dispatch);
1678 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_imag(PyObject *,
int __pyx_skip_dispatch);
1679 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_pure(PyObject *,
int __pyx_skip_dispatch);
1680 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_even(PyObject *,
int __pyx_skip_dispatch);
1681 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_odd(PyObject *,
int __pyx_skip_dispatch);
1682 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_involute(PyObject *,
int __pyx_skip_dispatch);
1683 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_reverse(PyObject *,
int __pyx_skip_dispatch);
1684 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_conj(PyObject *,
int __pyx_skip_dispatch);
1685 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_quad(PyObject *,
int __pyx_skip_dispatch);
1686 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_norm(PyObject *,
int __pyx_skip_dispatch);
1687 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_abs(PyObject *,
int __pyx_skip_dispatch);
1688 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_max_abs(PyObject *,
int __pyx_skip_dispatch);
1689 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_pow(PyObject *, PyObject *,
int __pyx_skip_dispatch);
1690 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_outer_pow(PyObject *, PyObject *,
int __pyx_skip_dispatch);
1691 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_complexifier(PyObject *,
int __pyx_skip_dispatch);
1692 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sqrt(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_sqrt *__pyx_optional_args);
1693 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_exp(PyObject *,
int __pyx_skip_dispatch);
1694 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_log(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_log *__pyx_optional_args);
1695 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cos(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_cos *__pyx_optional_args);
1696 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_acos(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_acos *__pyx_optional_args);
1697 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cosh(PyObject *,
int __pyx_skip_dispatch);
1698 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_acosh(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_acosh *__pyx_optional_args);
1699 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sin(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_sin *__pyx_optional_args);
1700 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_asin(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_asin *__pyx_optional_args);
1701 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sinh(PyObject *,
int __pyx_skip_dispatch);
1702 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_asinh(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_asinh *__pyx_optional_args);
1703 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_tan(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_tan *__pyx_optional_args);
1704 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_atan(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_atan *__pyx_optional_args);
1705 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_tanh(PyObject *,
int __pyx_skip_dispatch);
1706 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_atanh(PyObject *,
int __pyx_skip_dispatch,
struct __pyx_opt_args_8PyClical_atanh *__pyx_optional_args);
1707 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);
1708 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cga3(PyObject *,
int __pyx_skip_dispatch);
1709 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cga3std(PyObject *,
int __pyx_skip_dispatch);
1710 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_agc3(PyObject *,
int __pyx_skip_dispatch);
1711 #define __Pyx_MODULE_NAME "PyClical" 1712 extern int __pyx_module_is_main_PyClical;
1713 int __pyx_module_is_main_PyClical = 0;
1716 static PyObject *__pyx_builtin_IndexError;
1717 static PyObject *__pyx_builtin_RuntimeError;
1718 static PyObject *__pyx_builtin_TypeError;
1719 static PyObject *__pyx_builtin_ValueError;
1720 static PyObject *__pyx_builtin_NotImplemented;
1721 static PyObject *__pyx_builtin_range;
1722 static PyObject *__pyx_builtin_xrange;
1723 static const char __pyx_k_[] =
".";
1724 static const char __pyx_k_e[] =
"e";
1725 static const char __pyx_k_i[] =
"i";
1726 static const char __pyx_k_m[] =
"m";
1727 static const char __pyx_k_p[] =
"p";
1728 static const char __pyx_k_q[] =
"q";
1729 static const char __pyx_k__2[] =
" ";
1730 static const char __pyx_k__5[] =
":";
1731 static const char __pyx_k__6[] =
"\n\t";
1732 static const char __pyx_k__7[] =
" (";
1733 static const char __pyx_k__8[] =
", ";
1734 static const char __pyx_k__9[] =
").";
1735 static const char __pyx_k_cl[] =
"cl";
1736 static const char __pyx_k_pi[] =
"pi";
1737 static const char __pyx_k_cos[] =
"cos";
1738 static const char __pyx_k_exp[] =
"exp";
1739 static const char __pyx_k_frm[] =
"frm";
1740 static const char __pyx_k_inv[] =
"inv";
1741 static const char __pyx_k_ist[] =
"ist";
1742 static const char __pyx_k_ixt[] =
"ixt";
1743 static const char __pyx_k_lhs[] =
"lhs";
1744 static const char __pyx_k_log[] =
"log";
1745 static const char __pyx_k_max[] =
"max";
1746 static const char __pyx_k_min[] =
"min";
1747 static const char __pyx_k_obj[] =
"obj";
1748 static const char __pyx_k_odd[] =
"odd";
1749 static const char __pyx_k_pow[] =
"pow";
1750 static const char __pyx_k_rhs[] =
"rhs";
1751 static const char __pyx_k_sin[] =
"sin";
1752 static const char __pyx_k_tan[] =
"tan";
1753 static const char __pyx_k_tau[] =
"tau";
1754 static const char __pyx_k_Real[] =
"Real";
1755 static const char __pyx_k_acos[] =
"acos";
1756 static const char __pyx_k_args[] =
"args";
1757 static const char __pyx_k_asin[] =
"asin";
1758 static const char __pyx_k_atan[] =
"atan";
1759 static const char __pyx_k_conj[] =
"conj";
1760 static const char __pyx_k_copy[] =
"copy";
1761 static const char __pyx_k_cosh[] =
"cosh";
1762 static const char __pyx_k_even[] =
"even";
1763 static const char __pyx_k_fill[] =
"fill";
1764 static const char __pyx_k_from[] =
" from ";
1765 static const char __pyx_k_iter[] =
"__iter__";
1766 static const char __pyx_k_main[] =
"__main__";
1767 static const char __pyx_k_math[] =
"math";
1768 static const char __pyx_k_name[] =
"__name__";
1769 static const char __pyx_k_norm[] =
"norm";
1770 static const char __pyx_k_pure[] =
"pure";
1771 static const char __pyx_k_quad[] =
"quad";
1772 static const char __pyx_k_send[] =
"send";
1773 static const char __pyx_k_sinh[] =
"sinh";
1774 static const char __pyx_k_sqrt[] =
"sqrt";
1775 static const char __pyx_k_tanh[] =
"tanh";
1776 static const char __pyx_k_test[] =
"_test";
1777 static const char __pyx_k_0_8_2[] =
"0.8.2";
1778 static const char __pyx_k_acosh[] =
"acosh";
1779 static const char __pyx_k_asinh[] =
"asinh";
1780 static const char __pyx_k_atanh[] =
"atanh";
1781 static const char __pyx_k_close[] =
"close";
1782 static const char __pyx_k_grade[] =
"grade";
1783 static const char __pyx_k_istpq[] =
"istpq";
1784 static const char __pyx_k_nbar3[] =
"nbar3";
1785 static const char __pyx_k_ninf3[] =
"ninf3";
1786 static const char __pyx_k_other[] =
"other";
1787 static const char __pyx_k_range[] =
"range";
1788 static const char __pyx_k_throw[] =
"throw";
1789 static const char __pyx_k_using[] =
" using (";
1790 static const char __pyx_k_value[] =
" value ";
1791 static const char __pyx_k_import[] =
"__import__";
1792 static const char __pyx_k_reduce[] =
"__reduce__";
1793 static const char __pyx_k_scalar[] =
"scalar";
1794 static const char __pyx_k_test_2[] =
"__test__";
1795 static const char __pyx_k_xrange[] =
"xrange";
1796 static const char __pyx_k_doctest[] =
"doctest";
1797 static const char __pyx_k_invalid[] =
" invalid ";
1798 static const char __pyx_k_numbers[] =
"numbers";
1799 static const char __pyx_k_reverse[] =
"reverse";
1800 static const char __pyx_k_testmod[] =
"testmod";
1801 static const char __pyx_k_version[] =
"__version__";
1802 static const char __pyx_k_Integral[] =
"Integral";
1803 static const char __pyx_k_PyClical[] =
"PyClical";
1804 static const char __pyx_k_Sequence[] =
"Sequence";
1805 static const char __pyx_k_as_frame[] =
" as frame:\n\t";
1806 static const char __pyx_k_clifford[] =
"clifford";
1807 static const char __pyx_k_getstate[] =
"__getstate__";
1808 static const char __pyx_k_involute[] =
"involute";
1809 static const char __pyx_k_setstate[] =
"__setstate__";
1810 static const char __pyx_k_to_frame[] =
" to frame ";
1811 static const char __pyx_k_TypeError[] =
"TypeError";
1812 static const char __pyx_k_index_set[] =
"index_set";
1813 static const char __pyx_k_outer_pow[] =
"outer_pow";
1814 static const char __pyx_k_reduce_ex[] =
"__reduce_ex__";
1815 static const char __pyx_k_IndexError[] =
"IndexError";
1816 static const char __pyx_k_ValueError[] =
"ValueError";
1817 static const char __pyx_k_pyx_vtable[] =
"__pyx_vtable__";
1818 static const char __pyx_k_collections[] =
"collections";
1819 static const char __pyx_k_e_line_1887[] =
"e (line 1887)";
1820 static const char __pyx_k_PyClical_pyx[] =
"PyClical.pyx";
1821 static const char __pyx_k_RuntimeError[] =
"RuntimeError";
1822 static const char __pyx_k_abs_line_1473[] =
"abs (line 1473)";
1823 static const char __pyx_k_cos_line_1602[] =
"cos (line 1602)";
1824 static const char __pyx_k_exp_line_1565[] =
"exp (line 1565)";
1825 static const char __pyx_k_inv_line_1329[] =
"inv (line 1329)";
1826 static const char __pyx_k_log_line_1579[] =
"log (line 1579)";
1827 static const char __pyx_k_odd_line_1397[] =
"odd (line 1397)";
1828 static const char __pyx_k_pow_line_1494[] =
"pow (line 1494)";
1829 static const char __pyx_k_reduce_cython[] =
"__reduce_cython__";
1830 static const char __pyx_k_sin_line_1679[] =
"sin (line 1679)";
1831 static const char __pyx_k_tan_line_1752[] =
"tan (line 1752)";
1832 static const char __pyx_k_using_invalid[] =
" using invalid ";
1833 static const char __pyx_k_Cannot_reframe[] =
"Cannot reframe";
1834 static const char __pyx_k_NotImplemented[] =
"NotImplemented";
1835 static const char __pyx_k_Not_applicable[] =
"Not applicable.";
1836 static const char __pyx_k_acos_line_1619[] =
"acos (line 1619)";
1837 static const char __pyx_k_agc3_line_1844[] =
"agc3 (line 1844)";
1838 static const char __pyx_k_asin_line_1698[] =
"asin (line 1698)";
1839 static const char __pyx_k_atan_line_1769[] =
"atan (line 1769)";
1840 static const char __pyx_k_cga3_line_1824[] =
"cga3 (line 1824)";
1841 static const char __pyx_k_conj_line_1436[] =
"conj (line 1436)";
1842 static const char __pyx_k_cosh_line_1640[] =
"cosh (line 1640)";
1843 static const char __pyx_k_even_line_1388[] =
"even (line 1388)";
1844 static const char __pyx_k_imag_line_1366[] =
"imag (line 1366)";
1845 static const char __pyx_k_invalid_string[] =
" invalid string ";
1846 static const char __pyx_k_norm_line_1462[] =
"norm (line 1462)";
1847 static const char __pyx_k_pure_line_1377[] =
"pure (line 1377)";
1848 static const char __pyx_k_quad_line_1451[] =
"quad (line 1451)";
1849 static const char __pyx_k_real_line_1355[] =
"real (line 1355)";
1850 static const char __pyx_k_sinh_line_1719[] =
"sinh (line 1719)";
1851 static const char __pyx_k_sqrt_line_1542[] =
"sqrt (line 1542)";
1852 static const char __pyx_k_tanh_line_1786[] =
"tanh (line 1786)";
1853 static const char __pyx_k_acosh_line_1656[] =
"acosh (line 1656)";
1854 static const char __pyx_k_asinh_line_1733[] =
"asinh (line 1733)";
1855 static const char __pyx_k_atanh_line_1798[] =
"atanh (line 1798)";
1856 static const char __pyx_k_istpq_line_1900[] =
"istpq (line 1900)";
1857 static const char __pyx_k_setstate_cython[] =
"__setstate_cython__";
1858 static const char __pyx_k_compare_line_490[] =
"compare (line 490)";
1859 static const char __pyx_k_index_set___iter[] =
"index_set.__iter__";
1860 static const char __pyx_k_max_pos_line_511[] =
"max_pos (line 511)";
1861 static const char __pyx_k_min_neg_line_502[] =
"min_neg (line 502)";
1862 static const char __pyx_k_scalar_line_1344[] =
"scalar (line 1344)";
1863 static const char __pyx_k_cga3std_line_1833[] =
"cga3std (line 1833)";
1864 static const char __pyx_k_max_abs_line_1482[] =
"max_abs (line 1482)";
1865 static const char __pyx_k_reverse_line_1421[] =
"reverse (line 1421)";
1866 static const char __pyx_k_cline_in_traceback[] =
"cline_in_traceback";
1867 static const char __pyx_k_involute_line_1406[] =
"involute (line 1406)";
1868 static const char __pyx_k_outer_pow_line_1518[] =
"outer_pow (line 1518)";
1869 static const char __pyx_k_clifford_inv_line_925[] =
"clifford.inv (line 925)";
1870 static const char __pyx_k_clifford_pow_line_979[] =
"clifford.pow (line 979)";
1871 static const char __pyx_k_clifford_abs_line_1174[] =
"clifford.abs (line 1174)";
1872 static const char __pyx_k_clifford_copy_line_554[] =
"clifford.copy (line 554)";
1873 static const char __pyx_k_clifford_odd_line_1069[] =
"clifford.odd (line 1069)";
1874 static const char __pyx_k_complexifier_line_1527[] =
"complexifier (line 1527)";
1875 static const char __pyx_k_index_set_copy_line_64[] =
"index_set.copy (line 64)";
1876 static const char __pyx_k_index_set_max_line_349[] =
"index_set.max (line 349)";
1877 static const char __pyx_k_index_set_min_line_340[] =
"index_set.min (line 340)";
1878 static const char __pyx_k_clifford_conj_line_1137[] =
"clifford.conj (line 1137)";
1879 static const char __pyx_k_clifford_even_line_1060[] =
"clifford.even (line 1060)";
1880 static const char __pyx_k_clifford_norm_line_1163[] =
"clifford.norm (line 1163)";
1881 static const char __pyx_k_clifford_pure_line_1049[] =
"clifford.pure (line 1049)";
1882 static const char __pyx_k_clifford_quad_line_1152[] =
"clifford.quad (line 1152)";
1883 static const char __pyx_k_Unary_print_clifford_1_1[] =
"\n Unary -.\n\n >>> print -clifford(\"{1}\")\n -{1}\n ";
1884 static const char __pyx_k_clifford___or___line_938[] =
"clifford.__or__ (line 938)";
1885 static const char __pyx_k_clifford_frame_line_1214[] =
"clifford.frame (line 1214)";
1886 static const char __pyx_k_clifford_hidden_doctests[] =
"clifford_hidden_doctests";
1887 static const char __pyx_k_clifford_isnan_line_1205[] =
"clifford.isnan (line 1205)";
1888 static const char __pyx_k_index_set_count_line_313[] =
"index_set.count (line 313)";
1889 static const char __pyx_k_clifford___add___line_739[] =
"clifford.__add__ (line 739)";
1890 static const char __pyx_k_clifford___and___line_835[] =
"clifford.__and__ (line 835)";
1891 static const char __pyx_k_clifford___div___line_895[] =
"clifford.__div__ (line 895)";
1892 static const char __pyx_k_clifford___ior___line_949[] =
"clifford.__ior__ (line 949)";
1893 static const char __pyx_k_clifford___mod___line_805[] =
"clifford.__mod__ (line 805)";
1894 static const char __pyx_k_clifford___mul___line_779[] =
"clifford.__mul__ (line 779)";
1895 static const char __pyx_k_clifford___neg___line_721[] =
"clifford.__neg__ (line 721)";
1896 static const char __pyx_k_clifford___pos___line_730[] =
"clifford.__pos__ (line 730)";
1897 static const char __pyx_k_clifford___pow___line_960[] =
"clifford.__pow__ (line 960)";
1898 static const char __pyx_k_clifford___sub___line_759[] =
"clifford.__sub__ (line 759)";
1899 static const char __pyx_k_clifford___xor___line_865[] =
"clifford.__xor__ (line 865)";
1900 static const char __pyx_k_clifford_reframe_line_648[] =
"clifford.reframe (line 648)";
1901 static const char __pyx_k_clifford_scalar_line_1038[] =
"clifford.scalar (line 1038)";
1902 static const char __pyx_k_index_set___or___line_291[] =
"index_set.__or__ (line 291)";
1903 static const char __pyx_k_index_set_hidden_doctests[] =
"index_set_hidden_doctests";
1904 static const char __pyx_k_random_clifford_line_1815[] =
"random_clifford (line 1815)";
1905 static const char __pyx_k_Cannot_take_vector_part_of[] =
"Cannot take vector part of ";
1906 static const char __pyx_k_Unary_print_clifford_1_1_2[] =
"\n Unary +.\n\n >>> print +clifford(\"{1}\")\n {1}\n ";
1907 static const char __pyx_k_clifford___iadd___line_750[] =
"clifford.__iadd__ (line 750)";
1908 static const char __pyx_k_clifford___iand___line_850[] =
"clifford.__iand__ (line 850)";
1909 static const char __pyx_k_clifford___idiv___line_910[] =
"clifford.__idiv__ (line 910)";
1910 static const char __pyx_k_clifford___imod___line_820[] =
"clifford.__imod__ (line 820)";
1911 static const char __pyx_k_clifford___imul___line_792[] =
"clifford.__imul__ (line 792)";
1912 static const char __pyx_k_clifford___isub___line_770[] =
"clifford.__isub__ (line 770)";
1913 static const char __pyx_k_clifford___iter___line_637[] =
"clifford.__iter__ (line 637)";
1914 static const char __pyx_k_clifford___ixor___line_880[] =
"clifford.__ixor__ (line 880)";
1915 static const char __pyx_k_clifford___str___line_1234[] =
"clifford.__str__ (line 1234)";
1916 static const char __pyx_k_clifford_max_abs_line_1183[] =
"clifford.max_abs (line 1183)";
1917 static const char __pyx_k_clifford_reverse_line_1122[] =
"clifford.reverse (line 1122)";
1918 static const char __pyx_k_index_set___and___line_269[] =
"index_set.__and__ (line 269)";
1919 static const char __pyx_k_index_set___ior___line_302[] =
"index_set.__ior__ (line 302)";
1920 static const char __pyx_k_index_set___str___line_393[] =
"index_set.__str__ (line 393)";
1921 static const char __pyx_k_index_set___xor___line_247[] =
"index_set.__xor__ (line 247)";
1922 static const char __pyx_k_clifford___call___line_1019[] =
"clifford.__call__ (line 1019)";
1923 static const char __pyx_k_clifford___repr___line_1225[] =
"clifford.__repr__ (line 1225)";
1924 static const char __pyx_k_clifford_involute_line_1106[] =
"clifford.involute (line 1106)";
1925 static const char __pyx_k_index_set___iand___line_280[] =
"index_set.__iand__ (line 280)";
1926 static const char __pyx_k_index_set___iter___line_227[] =
"index_set.__iter__ (line 227)";
1927 static const char __pyx_k_index_set___ixor___line_258[] =
"index_set.__ixor__ (line 258)";
1928 static const char __pyx_k_index_set___repr___line_382[] =
"index_set.__repr__ (line 382)";
1929 static const char __pyx_k_clifford_outer_pow_line_1003[] =
"clifford.outer_pow (line 1003)";
1930 static const char __pyx_k_clifford_truncated_line_1194[] =
"clifford.truncated (line 1194)";
1931 static const char __pyx_k_index_set_count_neg_line_322[] =
"index_set.count_neg (line 322)";
1932 static const char __pyx_k_index_set_count_pos_line_331[] =
"index_set.count_pos (line 331)";
1933 static const char __pyx_k_clifford___getitem___line_706[] =
"clifford.__getitem__ (line 706)";
1934 static const char __pyx_k_index_set___invert___line_238[] =
"index_set.__invert__ (line 238)";
1935 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 ";
1936 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 ";
1937 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 ";
1938 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 ";
1939 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 ";
1940 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 ";
1941 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 ";
1942 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 ";
1943 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 ";
1944 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 ";
1945 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 ";
1946 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 ";
1947 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 ";
1948 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 ";
1949 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 ";
1950 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 ";
1951 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 ";
1952 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 ";
1953 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 ";
1954 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 ";
1955 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 ";
1956 static const char __pyx_k_clifford_vector_part_line_1078[] =
"clifford.vector_part (line 1078)";
1957 static const char __pyx_k_index_set___getitem___line_189[] =
"index_set.__getitem__ (line 189)";
1958 static const char __pyx_k_index_set___setitem___line_177[] =
"index_set.__setitem__ (line 177)";
1959 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 ";
1960 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 ";
1961 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 ";
1962 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 ";
1963 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 ";
1964 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 ";
1965 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 ";
1966 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 ";
1967 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 ";
1968 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 ";
1969 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 ";
1970 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 ";
1971 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 ";
1972 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 ";
1973 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 ";
1974 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 ";
1975 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 ";
1976 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 ";
1977 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 ";
1978 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 ";
1979 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 ";
1980 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 ";
1981 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 ";
1982 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 ";
1983 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 ";
1984 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 ";
1985 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 ";
1986 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 ";
1987 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 ";
1988 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 ";
1989 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 ";
1990 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 ";
1991 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 ";
1992 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 ";
1993 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 ";
1994 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 ";
1995 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 ";
1996 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 ";
1997 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 ";
1998 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 ";
1999 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 ";
2000 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 ";
2001 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 ";
2002 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 ";
2003 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 ";
2004 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 ";
2005 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 ";
2006 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 ";
2007 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 ";
2008 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 ";
2009 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 ";
2010 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 ";
2011 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 ";
2012 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 ";
2013 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 ";
2014 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 ";
2015 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 ";
2016 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 ";
2017 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 ";
2018 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 ";
2019 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 ";
2020 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 ";
2021 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 ";
2022 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 ";
2023 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 ";
2024 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 ";
2025 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 ";
2026 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 ";
2027 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 ";
2028 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 ";
2029 static const char __pyx_k_This_comparison_operator_is_not[] =
"This comparison operator is not implemented for ";
2030 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 ";
2031 static const char __pyx_k_index_set_sign_of_mult_line_364[] =
"index_set.sign_of_mult (line 364)";
2032 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 ";
2033 static const char __pyx_k_Cannot_initialize_clifford_objec[] =
"Cannot initialize clifford object from";
2034 static const char __pyx_k_Cannot_initialize_index_set_obje[] =
"Cannot initialize index_set object from";
2035 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 ";
2036 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 ";
2037 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 ";
2038 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 ";
2039 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 ";
2040 static const char __pyx_k_clifford_hidden_doctests_line_12[] =
"clifford_hidden_doctests (line 1243)";
2041 static const char __pyx_k_index_set_hidden_doctests_line_4[] =
"index_set_hidden_doctests (line 404)";
2042 static const char __pyx_k_index_set_sign_of_square_line_37[] =
"index_set.sign_of_square (line 373)";
2043 static const char __pyx_k_no_default___reduce___due_to_non[] =
"no default __reduce__ due to non-trivial __cinit__";
2044 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 ";
2045 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 ";
2046 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 ";
2047 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 ";
2048 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 ";
2049 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 ";
2050 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 ";
2051 static PyObject *__pyx_kp_s_;
2052 static PyObject *__pyx_kp_s_0_8_2;
2053 static PyObject *__pyx_kp_u_Abbreviation_for_clifford_index;
2054 static PyObject *__pyx_kp_u_Abbreviation_for_index_set_q_p;
2055 static PyObject *__pyx_kp_u_Absolute_value_of_multivector_m;
2056 static PyObject *__pyx_kp_u_Absolute_value_square_root_of_n;
2057 static PyObject *__pyx_kp_s_Cannot_initialize_clifford_objec;
2058 static PyObject *__pyx_kp_s_Cannot_initialize_index_set_obje;
2059 static PyObject *__pyx_kp_s_Cannot_reframe;
2060 static PyObject *__pyx_kp_s_Cannot_take_vector_part_of;
2061 static PyObject *__pyx_kp_u_Cardinality_Number_of_indices_i;
2062 static PyObject *__pyx_kp_u_Check_if_a_multivector_contains;
2063 static PyObject *__pyx_kp_u_Conjugation_reverse_o_involute;
2064 static PyObject *__pyx_kp_u_Conjugation_reverse_o_involute_2;
2065 static PyObject *__pyx_kp_u_Contraction_print_clifford_1_cl;
2066 static PyObject *__pyx_kp_u_Contraction_x_clifford_1_x_clif;
2067 static PyObject *__pyx_kp_u_Convert_CGA3_null_vector_to_Euc;
2068 static PyObject *__pyx_kp_u_Convert_CGA3_null_vector_to_sta;
2069 static PyObject *__pyx_kp_u_Convert_Euclidean_3D_multivecto;
2070 static PyObject *__pyx_kp_u_Copy_this_clifford_object_x_cli;
2071 static PyObject *__pyx_kp_u_Copy_this_index_set_object_s_in;
2072 static PyObject *__pyx_kp_u_Cosine_of_multivector_with_opti;
2073 static PyObject *__pyx_kp_u_Even_part_of_multivector_sum_of;
2074 static PyObject *__pyx_kp_u_Even_part_of_multivector_sum_of_2;
2075 static PyObject *__pyx_kp_u_Exponential_of_multivector_x_cl;
2076 static PyObject *__pyx_kp_u_Geometric_difference_print_clif;
2077 static PyObject *__pyx_kp_u_Geometric_difference_x_clifford;
2078 static PyObject *__pyx_kp_u_Geometric_multiplicative_invers;
2079 static PyObject *__pyx_kp_u_Geometric_multiplicative_invers_2;
2080 static PyObject *__pyx_kp_u_Geometric_product_print_cliffor;
2081 static PyObject *__pyx_kp_u_Geometric_product_x_clifford_2;
2082 static PyObject *__pyx_kp_u_Geometric_quotient_print_cliffo;
2083 static PyObject *__pyx_kp_u_Geometric_quotient_x_clifford_1;
2084 static PyObject *__pyx_kp_u_Geometric_sum_print_clifford_1;
2085 static PyObject *__pyx_kp_u_Geometric_sum_x_clifford_1_x_cl;
2086 static PyObject *__pyx_kp_u_Get_the_value_of_an_index_set_o;
2087 static PyObject *__pyx_kp_u_Hyperbolic_cosine_of_multivecto;
2088 static PyObject *__pyx_kp_u_Hyperbolic_sine_of_multivector;
2089 static PyObject *__pyx_kp_u_Hyperbolic_tangent_of_multivect;
2090 static PyObject *__pyx_kp_u_Imaginary_part_deprecated_alway;
2091 static PyObject *__pyx_n_s_IndexError;
2092 static PyObject *__pyx_kp_u_Inner_product_print_clifford_1;
2093 static PyObject *__pyx_kp_u_Inner_product_x_clifford_1_x_cl;
2094 static PyObject *__pyx_kp_u_Integer_power_of_multivector_ob;
2095 static PyObject *__pyx_n_s_Integral;
2096 static PyObject *__pyx_kp_u_Inverse_cosine_of_multivector_w;
2097 static PyObject *__pyx_kp_u_Inverse_hyperbolic_cosine_of_mu;
2098 static PyObject *__pyx_kp_u_Inverse_hyperbolic_sine_of_mult;
2099 static PyObject *__pyx_kp_u_Inverse_hyperbolic_tangent_of_m;
2100 static PyObject *__pyx_kp_u_Inverse_sine_of_multivector_wit;
2101 static PyObject *__pyx_kp_u_Inverse_tangent_of_multivector;
2102 static PyObject *__pyx_kp_u_Iterate_over_the_indices_of_an;
2103 static PyObject *__pyx_kp_u_Main_involution_each_i_is_repla;
2104 static PyObject *__pyx_kp_u_Main_involution_each_i_is_repla_2;
2105 static PyObject *__pyx_kp_u_Maximum_absolute_value_of_coord;
2106 static PyObject *__pyx_kp_u_Maximum_member_index_set_1_1_2;
2107 static PyObject *__pyx_kp_u_Maximum_of_absolute_values_of_c;
2108 static PyObject *__pyx_kp_u_Maximum_positive_index_or_0_if;
2109 static PyObject *__pyx_kp_u_Minimum_member_index_set_1_1_2;
2110 static PyObject *__pyx_kp_u_Minimum_negative_index_or_0_if;
2111 static PyObject *__pyx_kp_u_Natural_logarithm_of_multivecto;
2112 static PyObject *__pyx_kp_u_Norm_sum_of_squares_of_coordina;
2113 static PyObject *__pyx_n_s_NotImplemented;
2114 static PyObject *__pyx_kp_s_Not_applicable;
2115 static PyObject *__pyx_kp_u_Not_applicable_for_a_in_cliffor;
2116 static PyObject *__pyx_kp_u_Number_of_negative_indices_incl;
2117 static PyObject *__pyx_kp_u_Number_of_positive_indices_incl;
2118 static PyObject *__pyx_kp_u_Odd_part_of_multivector_sum_of;
2119 static PyObject *__pyx_kp_u_Odd_part_of_multivector_sum_of_2;
2120 static PyObject *__pyx_kp_u_Outer_product_power_of_multivec;
2121 static PyObject *__pyx_kp_u_Outer_product_power_x_clifford;
2122 static PyObject *__pyx_kp_u_Outer_product_print_clifford_1;
2123 static PyObject *__pyx_kp_u_Outer_product_x_clifford_1_x_cl;
2124 static PyObject *__pyx_kp_u_Power_self_to_the_m_x_clifford;
2125 static PyObject *__pyx_kp_u_Power_self_to_the_m_x_clifford_2;
2126 static PyObject *__pyx_kp_u_Pure_grade_vector_part_print_cl;
2127 static PyObject *__pyx_kp_u_Pure_part_print_clifford_1_1_1;
2128 static PyObject *__pyx_kp_u_Pure_part_print_pure_clifford_1;
2129 static PyObject *__pyx_kp_u_Put_self_into_a_larger_frame_co;
2130 static PyObject *__pyx_n_s_PyClical;
2131 static PyObject *__pyx_kp_s_PyClical_pyx;
2132 static PyObject *__pyx_kp_u_Quadratic_form_rev_x_x_0_print;
2133 static PyObject *__pyx_kp_u_Quadratic_form_rev_x_x_0_print_2;
2134 static PyObject *__pyx_kp_u_Random_multivector_within_a_fra;
2135 static PyObject *__pyx_n_s_Real;
2136 static PyObject *__pyx_kp_u_Real_part_synonym_for_scalar_pa;
2137 static PyObject *__pyx_kp_u_Remove_all_terms_of_self_with_r;
2138 static PyObject *__pyx_kp_u_Reversion_eg_1_2_2_1_print_reve;
2139 static PyObject *__pyx_kp_u_Reversion_eg_clifford_1_cliffor;
2140 static PyObject *__pyx_n_s_RuntimeError;
2141 static PyObject *__pyx_kp_u_Scalar_part_clifford_1_1_1_2_sc;
2142 static PyObject *__pyx_kp_u_Scalar_part_scalar_clifford_1_1;
2143 static PyObject *__pyx_n_s_Sequence;
2144 static PyObject *__pyx_kp_u_Set_complement_not_print_index;
2145 static PyObject *__pyx_kp_u_Set_intersection_and_print_inde;
2146 static PyObject *__pyx_kp_u_Set_intersection_and_x_index_se;
2147 static PyObject *__pyx_kp_u_Set_the_value_of_an_index_set_o;
2148 static PyObject *__pyx_kp_u_Set_union_or_print_index_set_1;
2149 static PyObject *__pyx_kp_u_Set_union_or_x_index_set_1_x_in;
2150 static PyObject *__pyx_kp_u_Sign_of_geometric_product_of_tw;
2151 static PyObject *__pyx_kp_u_Sign_of_geometric_square_of_a_C;
2152 static PyObject *__pyx_kp_u_Sine_of_multivector_with_option;
2153 static PyObject *__pyx_kp_u_Square_root_of_1_which_commutes;
2154 static PyObject *__pyx_kp_u_Square_root_of_multivector_with;
2155 static PyObject *__pyx_kp_u_Subalgebra_generated_by_all_gen;
2156 static PyObject *__pyx_kp_u_Subscripting_map_from_index_set;
2157 static PyObject *__pyx_kp_u_Symmetric_set_difference_exclus;
2158 static PyObject *__pyx_kp_u_Symmetric_set_difference_exclus_2;
2159 static PyObject *__pyx_kp_u_Tangent_of_multivector_with_opt;
2160 static PyObject *__pyx_kp_u_Tests_for_functions_that_Doctes;
2161 static PyObject *__pyx_kp_u_Tests_for_functions_that_Doctes_2;
2162 static PyObject *__pyx_kp_u_The_informal_string_representat;
2163 static PyObject *__pyx_kp_u_The_informal_string_representat_2;
2164 static PyObject *__pyx_kp_u_The_official_string_representat;
2165 static PyObject *__pyx_kp_u_The_official_string_representat_2;
2166 static PyObject *__pyx_kp_s_This_comparison_operator_is_not;
2167 static PyObject *__pyx_kp_u_Transform_left_hand_side_using;
2168 static PyObject *__pyx_kp_u_Transform_left_hand_side_using_2;
2169 static PyObject *__pyx_n_s_TypeError;
2170 static PyObject *__pyx_kp_u_Unary_print_clifford_1_1;
2171 static PyObject *__pyx_kp_u_Unary_print_clifford_1_1_2;
2172 static PyObject *__pyx_n_s_ValueError;
2173 static PyObject *__pyx_kp_u_Vector_part_of_multivector_as_a;
2174 static PyObject *__pyx_kp_s__2;
2175 static PyObject *__pyx_kp_s__5;
2176 static PyObject *__pyx_kp_s__6;
2177 static PyObject *__pyx_kp_s__7;
2178 static PyObject *__pyx_kp_s__8;
2179 static PyObject *__pyx_kp_s__9;
2180 static PyObject *__pyx_kp_u_abs_line_1473;
2181 static PyObject *__pyx_n_s_acos;
2182 static PyObject *__pyx_kp_u_acos_line_1619;
2183 static PyObject *__pyx_n_s_acosh;
2184 static PyObject *__pyx_kp_u_acosh_line_1656;
2185 static PyObject *__pyx_kp_u_agc3_line_1844;
2186 static PyObject *__pyx_n_s_args;
2187 static PyObject *__pyx_kp_s_as_frame;
2188 static PyObject *__pyx_n_s_asin;
2189 static PyObject *__pyx_kp_u_asin_line_1698;
2190 static PyObject *__pyx_n_s_asinh;
2191 static PyObject *__pyx_kp_u_asinh_line_1733;
2192 static PyObject *__pyx_n_s_atan;
2193 static PyObject *__pyx_kp_u_atan_line_1769;
2194 static PyObject *__pyx_n_s_atanh;
2195 static PyObject *__pyx_kp_u_atanh_line_1798;
2196 static PyObject *__pyx_kp_u_cga3_line_1824;
2197 static PyObject *__pyx_kp_u_cga3std_line_1833;
2198 static PyObject *__pyx_n_s_cl;
2199 static PyObject *__pyx_n_s_clifford;
2200 static PyObject *__pyx_kp_u_clifford___add___line_739;
2201 static PyObject *__pyx_kp_u_clifford___and___line_835;
2202 static PyObject *__pyx_kp_u_clifford___call___line_1019;
2203 static PyObject *__pyx_kp_u_clifford___div___line_895;
2204 static PyObject *__pyx_kp_u_clifford___getitem___line_706;
2205 static PyObject *__pyx_kp_u_clifford___iadd___line_750;
2206 static PyObject *__pyx_kp_u_clifford___iand___line_850;
2207 static PyObject *__pyx_kp_u_clifford___idiv___line_910;
2208 static PyObject *__pyx_kp_u_clifford___imod___line_820;
2209 static PyObject *__pyx_kp_u_clifford___imul___line_792;
2210 static PyObject *__pyx_kp_u_clifford___ior___line_949;
2211 static PyObject *__pyx_kp_u_clifford___isub___line_770;
2212 static PyObject *__pyx_kp_u_clifford___iter___line_637;
2213 static PyObject *__pyx_kp_u_clifford___ixor___line_880;
2214 static PyObject *__pyx_kp_u_clifford___mod___line_805;
2215 static PyObject *__pyx_kp_u_clifford___mul___line_779;
2216 static PyObject *__pyx_kp_u_clifford___neg___line_721;
2217 static PyObject *__pyx_kp_u_clifford___or___line_938;
2218 static PyObject *__pyx_kp_u_clifford___pos___line_730;
2219 static PyObject *__pyx_kp_u_clifford___pow___line_960;
2220 static PyObject *__pyx_kp_u_clifford___repr___line_1225;
2221 static PyObject *__pyx_kp_u_clifford___str___line_1234;
2222 static PyObject *__pyx_kp_u_clifford___sub___line_759;
2223 static PyObject *__pyx_kp_u_clifford___xor___line_865;
2224 static PyObject *__pyx_kp_u_clifford_abs_line_1174;
2225 static PyObject *__pyx_kp_u_clifford_conj_line_1137;
2226 static PyObject *__pyx_kp_u_clifford_copy_line_554;
2227 static PyObject *__pyx_kp_u_clifford_even_line_1060;
2228 static PyObject *__pyx_kp_u_clifford_frame_line_1214;
2229 static PyObject *__pyx_n_s_clifford_hidden_doctests;
2230 static PyObject *__pyx_kp_u_clifford_hidden_doctests_line_12;
2231 static PyObject *__pyx_kp_u_clifford_inv_line_925;
2232 static PyObject *__pyx_kp_u_clifford_involute_line_1106;
2233 static PyObject *__pyx_kp_u_clifford_isnan_line_1205;
2234 static PyObject *__pyx_kp_u_clifford_max_abs_line_1183;
2235 static PyObject *__pyx_kp_u_clifford_norm_line_1163;
2236 static PyObject *__pyx_kp_u_clifford_odd_line_1069;
2237 static PyObject *__pyx_kp_u_clifford_outer_pow_line_1003;
2238 static PyObject *__pyx_kp_u_clifford_pow_line_979;
2239 static PyObject *__pyx_kp_u_clifford_pure_line_1049;
2240 static PyObject *__pyx_kp_u_clifford_quad_line_1152;
2241 static PyObject *__pyx_kp_u_clifford_reframe_line_648;
2242 static PyObject *__pyx_kp_u_clifford_reverse_line_1122;
2243 static PyObject *__pyx_kp_u_clifford_scalar_line_1038;
2244 static PyObject *__pyx_kp_u_clifford_truncated_line_1194;
2245 static PyObject *__pyx_kp_u_clifford_vector_part_line_1078;
2246 static PyObject *__pyx_n_s_cline_in_traceback;
2247 static PyObject *__pyx_n_s_close;
2248 static PyObject *__pyx_n_s_collections;
2249 static PyObject *__pyx_kp_u_compare_line_490;
2250 static PyObject *__pyx_kp_u_complexifier_line_1527;
2251 static PyObject *__pyx_n_s_conj;
2252 static PyObject *__pyx_kp_u_conj_line_1436;
2253 static PyObject *__pyx_n_s_copy;
2254 static PyObject *__pyx_n_s_cos;
2255 static PyObject *__pyx_kp_u_cos_line_1602;
2256 static PyObject *__pyx_n_s_cosh;
2257 static PyObject *__pyx_kp_u_cosh_line_1640;
2258 static PyObject *__pyx_n_s_doctest;
2259 static PyObject *__pyx_n_s_e;
2260 static PyObject *__pyx_kp_u_e_line_1887;
2261 static PyObject *__pyx_n_s_even;
2262 static PyObject *__pyx_kp_u_even_line_1388;
2263 static PyObject *__pyx_n_s_exp;
2264 static PyObject *__pyx_kp_u_exp_line_1565;
2265 static PyObject *__pyx_n_s_fill;
2266 static PyObject *__pyx_n_s_frm;
2267 static PyObject *__pyx_kp_s_from;
2268 static PyObject *__pyx_n_s_getstate;
2269 static PyObject *__pyx_n_s_grade;
2270 static PyObject *__pyx_n_s_i;
2271 static PyObject *__pyx_kp_u_imag_line_1366;
2272 static PyObject *__pyx_n_s_import;
2273 static PyObject *__pyx_n_s_index_set;
2274 static PyObject *__pyx_kp_u_index_set___and___line_269;
2275 static PyObject *__pyx_kp_u_index_set___getitem___line_189;
2276 static PyObject *__pyx_kp_u_index_set___iand___line_280;
2277 static PyObject *__pyx_kp_u_index_set___invert___line_238;
2278 static PyObject *__pyx_kp_u_index_set___ior___line_302;
2279 static PyObject *__pyx_n_s_index_set___iter;
2280 static PyObject *__pyx_kp_u_index_set___iter___line_227;
2281 static PyObject *__pyx_kp_u_index_set___ixor___line_258;
2282 static PyObject *__pyx_kp_u_index_set___or___line_291;
2283 static PyObject *__pyx_kp_u_index_set___repr___line_382;
2284 static PyObject *__pyx_kp_u_index_set___setitem___line_177;
2285 static PyObject *__pyx_kp_u_index_set___str___line_393;
2286 static PyObject *__pyx_kp_u_index_set___xor___line_247;
2287 static PyObject *__pyx_kp_u_index_set_copy_line_64;
2288 static PyObject *__pyx_kp_u_index_set_count_line_313;
2289 static PyObject *__pyx_kp_u_index_set_count_neg_line_322;
2290 static PyObject *__pyx_kp_u_index_set_count_pos_line_331;
2291 static PyObject *__pyx_n_s_index_set_hidden_doctests;
2292 static PyObject *__pyx_kp_u_index_set_hidden_doctests_line_4;
2293 static PyObject *__pyx_kp_u_index_set_max_line_349;
2294 static PyObject *__pyx_kp_u_index_set_min_line_340;
2295 static PyObject *__pyx_kp_u_index_set_sign_of_mult_line_364;
2296 static PyObject *__pyx_kp_u_index_set_sign_of_square_line_37;
2297 static PyObject *__pyx_n_s_inv;
2298 static PyObject *__pyx_kp_u_inv_line_1329;
2299 static PyObject *__pyx_kp_s_invalid;
2300 static PyObject *__pyx_kp_s_invalid_string;
2301 static PyObject *__pyx_n_s_involute;
2302 static PyObject *__pyx_kp_u_involute_line_1406;
2303 static PyObject *__pyx_n_s_ist;
2304 static PyObject *__pyx_n_s_istpq;
2305 static PyObject *__pyx_kp_u_istpq_line_1900;
2306 static PyObject *__pyx_n_s_iter;
2307 static PyObject *__pyx_n_s_ixt;
2308 static PyObject *__pyx_kp_u_lexicographic_compare_eg_3_4_5;
2309 static PyObject *__pyx_n_s_lhs;
2310 static PyObject *__pyx_n_s_log;
2311 static PyObject *__pyx_kp_u_log_line_1579;
2312 static PyObject *__pyx_n_s_m;
2313 static PyObject *__pyx_n_s_main;
2314 static PyObject *__pyx_n_s_math;
2315 static PyObject *__pyx_n_s_max;
2316 static PyObject *__pyx_kp_u_max_abs_line_1482;
2317 static PyObject *__pyx_kp_u_max_pos_line_511;
2318 static PyObject *__pyx_n_s_min;
2319 static PyObject *__pyx_kp_u_min_neg_line_502;
2320 static PyObject *__pyx_n_s_name;
2321 static PyObject *__pyx_n_s_nbar3;
2322 static PyObject *__pyx_n_s_ninf3;
2323 static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
2324 static PyObject *__pyx_n_s_norm;
2325 static PyObject *__pyx_kp_u_norm_line_1462;
2326 static PyObject *__pyx_kp_u_norm_sum_of_squares_of_coordina;
2327 static PyObject *__pyx_n_s_numbers;
2328 static PyObject *__pyx_n_s_obj;
2329 static PyObject *__pyx_n_s_odd;
2330 static PyObject *__pyx_kp_u_odd_line_1397;
2331 static PyObject *__pyx_n_s_other;
2332 static PyObject *__pyx_n_s_outer_pow;
2333 static PyObject *__pyx_kp_u_outer_pow_line_1518;
2334 static PyObject *__pyx_n_s_p;
2335 static PyObject *__pyx_n_s_pi;
2336 static PyObject *__pyx_n_s_pow;
2337 static PyObject *__pyx_kp_u_pow_line_1494;
2338 static PyObject *__pyx_n_s_pure;
2339 static PyObject *__pyx_kp_u_pure_line_1377;
2340 static PyObject *__pyx_n_s_pyx_vtable;
2341 static PyObject *__pyx_n_s_q;
2342 static PyObject *__pyx_n_s_quad;
2343 static PyObject *__pyx_kp_u_quad_line_1451;
2344 static PyObject *__pyx_kp_u_random_clifford_line_1815;
2345 static PyObject *__pyx_n_s_range;
2346 static PyObject *__pyx_kp_u_real_line_1355;
2347 static PyObject *__pyx_n_s_reduce;
2348 static PyObject *__pyx_n_s_reduce_cython;
2349 static PyObject *__pyx_n_s_reduce_ex;
2350 static PyObject *__pyx_n_s_reverse;
2351 static PyObject *__pyx_kp_u_reverse_line_1421;
2352 static PyObject *__pyx_n_s_rhs;
2353 static PyObject *__pyx_n_s_scalar;
2354 static PyObject *__pyx_kp_u_scalar_line_1344;
2355 static PyObject *__pyx_n_s_send;
2356 static PyObject *__pyx_n_s_setstate;
2357 static PyObject *__pyx_n_s_setstate_cython;
2358 static PyObject *__pyx_n_s_sin;
2359 static PyObject *__pyx_kp_u_sin_line_1679;
2360 static PyObject *__pyx_n_s_sinh;
2361 static PyObject *__pyx_kp_u_sinh_line_1719;
2362 static PyObject *__pyx_n_s_sqrt;
2363 static PyObject *__pyx_kp_u_sqrt_line_1542;
2364 static PyObject *__pyx_n_s_tan;
2365 static PyObject *__pyx_kp_u_tan_line_1752;
2366 static PyObject *__pyx_n_s_tanh;
2367 static PyObject *__pyx_kp_u_tanh_line_1786;
2368 static PyObject *__pyx_n_s_tau;
2369 static PyObject *__pyx_n_s_test;
2370 static PyObject *__pyx_n_s_test_2;
2371 static PyObject *__pyx_n_s_testmod;
2372 static PyObject *__pyx_n_s_throw;
2373 static PyObject *__pyx_kp_s_to_frame;
2374 static PyObject *__pyx_kp_s_using;
2375 static PyObject *__pyx_kp_s_using_invalid;
2376 static PyObject *__pyx_kp_s_value;
2377 static PyObject *__pyx_n_s_version;
2378 static PyObject *__pyx_n_s_xrange;
2379 static PyObject *__pyx_pf_8PyClical_9index_set_copy(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2380 static int __pyx_pf_8PyClical_9index_set_2__cinit__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_other);
2381 static void __pyx_pf_8PyClical_9index_set_4__dealloc__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2382 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);
2383 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);
2384 static PyObject *__pyx_pf_8PyClical_9index_set_10__getitem__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx);
2385 static int __pyx_pf_8PyClical_9index_set_12__contains__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx);
2386 static PyObject *__pyx_pf_8PyClical_9index_set_14__iter__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2387 static PyObject *__pyx_pf_8PyClical_9index_set_17__invert__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2388 static PyObject *__pyx_pf_8PyClical_9index_set_19__xor__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2389 static PyObject *__pyx_pf_8PyClical_9index_set_21__ixor__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs);
2390 static PyObject *__pyx_pf_8PyClical_9index_set_23__and__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2391 static PyObject *__pyx_pf_8PyClical_9index_set_25__iand__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs);
2392 static PyObject *__pyx_pf_8PyClical_9index_set_27__or__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2393 static PyObject *__pyx_pf_8PyClical_9index_set_29__ior__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs);
2394 static PyObject *__pyx_pf_8PyClical_9index_set_31count(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2395 static PyObject *__pyx_pf_8PyClical_9index_set_33count_neg(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2396 static PyObject *__pyx_pf_8PyClical_9index_set_35count_pos(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2397 static PyObject *__pyx_pf_8PyClical_9index_set_37min(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2398 static PyObject *__pyx_pf_8PyClical_9index_set_39max(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2399 static PyObject *__pyx_pf_8PyClical_9index_set_41hash_fn(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2400 static PyObject *__pyx_pf_8PyClical_9index_set_43sign_of_mult(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs);
2401 static PyObject *__pyx_pf_8PyClical_9index_set_45sign_of_square(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2402 static PyObject *__pyx_pf_8PyClical_9index_set_47__repr__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2403 static PyObject *__pyx_pf_8PyClical_9index_set_49__str__(
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2404 static PyObject *__pyx_pf_8PyClical_9index_set_51__reduce_cython__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_index_set *__pyx_v_self);
2405 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);
2406 static PyObject *__pyx_pf_8PyClical_index_set_hidden_doctests(CYTHON_UNUSED PyObject *__pyx_self);
2407 static PyObject *__pyx_pf_8PyClical_2compare(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2408 static PyObject *__pyx_pf_8PyClical_4min_neg(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2409 static PyObject *__pyx_pf_8PyClical_6max_pos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj);
2410 static PyObject *__pyx_pf_8PyClical_8clifford_copy(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2411 static int __pyx_pf_8PyClical_8clifford_2__cinit__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_other, PyObject *__pyx_v_ixt);
2412 static void __pyx_pf_8PyClical_8clifford_4__dealloc__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2413 static int __pyx_pf_8PyClical_8clifford_6__contains__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_x);
2414 static PyObject *__pyx_pf_8PyClical_8clifford_8__iter__(CYTHON_UNUSED
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2415 static PyObject *__pyx_pf_8PyClical_8clifford_10reframe(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_ixt);
2416 static PyObject *__pyx_pf_8PyClical_8clifford_12__richcmp__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_lhs, PyObject *__pyx_v_rhs,
int __pyx_v_op);
2417 static PyObject *__pyx_pf_8PyClical_8clifford_14__getitem__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_ixt);
2418 static PyObject *__pyx_pf_8PyClical_8clifford_16__neg__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2419 static PyObject *__pyx_pf_8PyClical_8clifford_18__pos__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2420 static PyObject *__pyx_pf_8PyClical_8clifford_20__add__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2421 static PyObject *__pyx_pf_8PyClical_8clifford_22__iadd__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2422 static PyObject *__pyx_pf_8PyClical_8clifford_24__sub__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2423 static PyObject *__pyx_pf_8PyClical_8clifford_26__isub__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2424 static PyObject *__pyx_pf_8PyClical_8clifford_28__mul__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2425 static PyObject *__pyx_pf_8PyClical_8clifford_30__imul__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2426 static PyObject *__pyx_pf_8PyClical_8clifford_32__mod__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2427 static PyObject *__pyx_pf_8PyClical_8clifford_34__imod__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2428 static PyObject *__pyx_pf_8PyClical_8clifford_36__and__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2429 static PyObject *__pyx_pf_8PyClical_8clifford_38__iand__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2430 static PyObject *__pyx_pf_8PyClical_8clifford_40__xor__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2431 static PyObject *__pyx_pf_8PyClical_8clifford_42__ixor__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2432 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 2433 static PyObject *__pyx_pf_8PyClical_8clifford_44__div__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2435 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 2436 static PyObject *__pyx_pf_8PyClical_8clifford_46__idiv__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2438 static PyObject *__pyx_pf_8PyClical_8clifford_48inv(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2439 static PyObject *__pyx_pf_8PyClical_8clifford_50__or__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs);
2440 static PyObject *__pyx_pf_8PyClical_8clifford_52__ior__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs);
2441 static PyObject *__pyx_pf_8PyClical_8clifford_54__pow__(PyObject *__pyx_v_self, PyObject *__pyx_v_m, CYTHON_UNUSED PyObject *__pyx_v_dummy);
2442 static PyObject *__pyx_pf_8PyClical_8clifford_56pow(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_m);
2443 static PyObject *__pyx_pf_8PyClical_8clifford_58outer_pow(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_m);
2444 static PyObject *__pyx_pf_8PyClical_8clifford_60__call__(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_grade);
2445 static PyObject *__pyx_pf_8PyClical_8clifford_62scalar(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2446 static PyObject *__pyx_pf_8PyClical_8clifford_64pure(
struct __pyx_obj_8PyClical_clifford *__pyx_v_self);
2447 static PyObject *__pyx_pf_8PyClical_8clifford_66even(
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"hash_fn", (PyCFunction)__pyx_pw_8PyClical_9index_set_42hash_fn, METH_NOARGS, __pyx_doc_8PyClical_9index_set_41hash_fn},
18176 {
"sign_of_mult", (PyCFunction)__pyx_pw_8PyClical_9index_set_44sign_of_mult, METH_O, __pyx_doc_8PyClical_9index_set_43sign_of_mult},
18177 {
"sign_of_square", (PyCFunction)__pyx_pw_8PyClical_9index_set_46sign_of_square, METH_NOARGS, __pyx_doc_8PyClical_9index_set_45sign_of_square},
18178 {
"__reduce_cython__", (PyCFunction)__pyx_pw_8PyClical_9index_set_52__reduce_cython__, METH_NOARGS, 0},
18179 {
"__setstate_cython__", (PyCFunction)__pyx_pw_8PyClical_9index_set_54__setstate_cython__, METH_O, 0},
18183 static PyNumberMethods __pyx_tp_as_number_index_set = {
18187 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18197 __pyx_pw_8PyClical_9index_set_18__invert__,
18200 __pyx_pw_8PyClical_9index_set_24__and__,
18201 __pyx_pw_8PyClical_9index_set_20__xor__,
18202 __pyx_pw_8PyClical_9index_set_28__or__,
18203 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18207 #if PY_MAJOR_VERSION < 3 18213 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18216 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18222 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18229 __pyx_pw_8PyClical_9index_set_26__iand__,
18230 __pyx_pw_8PyClical_9index_set_22__ixor__,
18231 __pyx_pw_8PyClical_9index_set_30__ior__,
18237 #if PY_VERSION_HEX >= 0x03050000 18240 #if PY_VERSION_HEX >= 0x03050000 18245 static PySequenceMethods __pyx_tp_as_sequence_index_set = {
18249 __pyx_sq_item_8PyClical_index_set,
18253 __pyx_pw_8PyClical_9index_set_13__contains__,
18258 static PyMappingMethods __pyx_tp_as_mapping_index_set = {
18260 __pyx_pw_8PyClical_9index_set_11__getitem__,
18261 __pyx_mp_ass_subscript_8PyClical_index_set,
18264 static PyTypeObject __pyx_type_8PyClical_index_set = {
18265 PyVarObject_HEAD_INIT(0, 0)
18266 "PyClical.index_set",
18267 sizeof(
struct __pyx_obj_8PyClical_index_set),
18269 __pyx_tp_dealloc_8PyClical_index_set,
18270 #if PY_VERSION_HEX < 0x030800b4
18273 #if PY_VERSION_HEX >= 0x030800b4
18278 #if PY_MAJOR_VERSION < 3 18281 #if PY_MAJOR_VERSION >= 3 18284 __pyx_pw_8PyClical_9index_set_48__repr__,
18285 &__pyx_tp_as_number_index_set,
18286 &__pyx_tp_as_sequence_index_set,
18287 &__pyx_tp_as_mapping_index_set,
18290 __pyx_pw_8PyClical_9index_set_50__str__,
18294 Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE,
18295 "\n Python class index_set wraps C++ class IndexSet.\n ",
18298 __pyx_pw_8PyClical_9index_set_7__richcmp__,
18300 __pyx_pw_8PyClical_9index_set_15__iter__,
18302 __pyx_methods_8PyClical_index_set,
18312 __pyx_tp_new_8PyClical_index_set,
18322 #if PY_VERSION_HEX >= 0x030400a1 18325 #if PY_VERSION_HEX >= 0x030800b1 18328 #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000 18332 static struct __pyx_vtabstruct_8PyClical_clifford __pyx_vtable_8PyClical_clifford;
18334 static PyObject *__pyx_tp_new_8PyClical_clifford(PyTypeObject *t, PyObject *a, PyObject *k) {
18335 struct __pyx_obj_8PyClical_clifford *p;
18337 if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
18338 o = (*t->tp_alloc)(t, 0);
18340 o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
18342 if (unlikely(!o))
return 0;
18343 p = ((
struct __pyx_obj_8PyClical_clifford *)o);
18344 p->__pyx_vtab = __pyx_vtabptr_8PyClical_clifford;
18345 if (unlikely(__pyx_pw_8PyClical_8clifford_3__cinit__(o, a, k) < 0))
goto bad;
18348 Py_DECREF(o); o = 0;
18352 static void __pyx_tp_dealloc_8PyClical_clifford(PyObject *o) {
18353 #if CYTHON_USE_TP_FINALIZE 18354 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))) {
18355 if (PyObject_CallFinalizerFromDealloc(o))
return;
18359 PyObject *etype, *eval, *etb;
18360 PyErr_Fetch(&etype, &eval, &etb);
18362 __pyx_pw_8PyClical_8clifford_5__dealloc__(o);
18364 PyErr_Restore(etype, eval, etb);
18366 (*Py_TYPE(o)->tp_free)(o);
18368 static PyObject *__pyx_sq_item_8PyClical_clifford(PyObject *o, Py_ssize_t
i) {
18370 PyObject *x = PyInt_FromSsize_t(
i);
if(!x)
return 0;
18371 r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
18376 static PyMethodDef __pyx_methods_8PyClical_clifford[] = {
18377 {
"copy", (PyCFunction)__pyx_pw_8PyClical_8clifford_1copy, METH_NOARGS, __pyx_doc_8PyClical_8clifford_copy},
18378 {
"reframe", (PyCFunction)__pyx_pw_8PyClical_8clifford_11reframe, METH_O, __pyx_doc_8PyClical_8clifford_10reframe},
18379 {
"inv", (PyCFunction)__pyx_pw_8PyClical_8clifford_49inv, METH_NOARGS, __pyx_doc_8PyClical_8clifford_48inv},
18380 {
"pow", (PyCFunction)__pyx_pw_8PyClical_8clifford_57pow, METH_O, __pyx_doc_8PyClical_8clifford_56pow},
18381 {
"outer_pow", (PyCFunction)__pyx_pw_8PyClical_8clifford_59outer_pow, METH_O, __pyx_doc_8PyClical_8clifford_58outer_pow},
18382 {
"scalar", (PyCFunction)__pyx_pw_8PyClical_8clifford_63scalar, METH_NOARGS, __pyx_doc_8PyClical_8clifford_62scalar},
18383 {
"pure", (PyCFunction)__pyx_pw_8PyClical_8clifford_65pure, METH_NOARGS, __pyx_doc_8PyClical_8clifford_64pure},
18384 {
"even", (PyCFunction)__pyx_pw_8PyClical_8clifford_67even, METH_NOARGS, __pyx_doc_8PyClical_8clifford_66even},
18385 {
"odd", (PyCFunction)__pyx_pw_8PyClical_8clifford_69odd, METH_NOARGS, __pyx_doc_8PyClical_8clifford_68odd},
18386 {
"vector_part", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_8clifford_71vector_part, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_70vector_part},
18387 {
"involute", (PyCFunction)__pyx_pw_8PyClical_8clifford_73involute, METH_NOARGS, __pyx_doc_8PyClical_8clifford_72involute},
18388 {
"reverse", (PyCFunction)__pyx_pw_8PyClical_8clifford_75reverse, METH_NOARGS, __pyx_doc_8PyClical_8clifford_74reverse},
18389 {
"conj", (PyCFunction)__pyx_pw_8PyClical_8clifford_77conj, METH_NOARGS, __pyx_doc_8PyClical_8clifford_76conj},
18390 {
"quad", (PyCFunction)__pyx_pw_8PyClical_8clifford_79quad, METH_NOARGS, __pyx_doc_8PyClical_8clifford_78quad},
18391 {
"norm", (PyCFunction)__pyx_pw_8PyClical_8clifford_81norm, METH_NOARGS, __pyx_doc_8PyClical_8clifford_80norm},
18392 {
"abs", (PyCFunction)__pyx_pw_8PyClical_8clifford_83abs, METH_NOARGS, __pyx_doc_8PyClical_8clifford_82abs},
18393 {
"max_abs", (PyCFunction)__pyx_pw_8PyClical_8clifford_85max_abs, METH_NOARGS, __pyx_doc_8PyClical_8clifford_84max_abs},
18394 {
"truncated", (PyCFunction)__pyx_pw_8PyClical_8clifford_87truncated, METH_O, __pyx_doc_8PyClical_8clifford_86truncated},
18395 {
"isnan", (PyCFunction)__pyx_pw_8PyClical_8clifford_89isnan, METH_NOARGS, __pyx_doc_8PyClical_8clifford_88isnan},
18396 {
"frame", (PyCFunction)__pyx_pw_8PyClical_8clifford_91frame, METH_NOARGS, __pyx_doc_8PyClical_8clifford_90frame},
18397 {
"__reduce_cython__", (PyCFunction)__pyx_pw_8PyClical_8clifford_97__reduce_cython__, METH_NOARGS, 0},
18398 {
"__setstate_cython__", (PyCFunction)__pyx_pw_8PyClical_8clifford_99__setstate_cython__, METH_O, 0},
18402 static PyNumberMethods __pyx_tp_as_number_clifford = {
18403 __pyx_pw_8PyClical_8clifford_21__add__,
18404 __pyx_pw_8PyClical_8clifford_25__sub__,
18405 __pyx_pw_8PyClical_8clifford_29__mul__,
18406 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18407 __pyx_pw_8PyClical_8clifford_45__div__,
18409 __pyx_pw_8PyClical_8clifford_33__mod__,
18411 __pyx_pw_8PyClical_8clifford_55__pow__,
18412 __pyx_pw_8PyClical_8clifford_17__neg__,
18413 __pyx_pw_8PyClical_8clifford_19__pos__,
18419 __pyx_pw_8PyClical_8clifford_37__and__,
18420 __pyx_pw_8PyClical_8clifford_41__xor__,
18421 __pyx_pw_8PyClical_8clifford_51__or__,
18422 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18426 #if PY_MAJOR_VERSION < 3 18432 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18435 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18438 __pyx_pw_8PyClical_8clifford_23__iadd__,
18439 __pyx_pw_8PyClical_8clifford_27__isub__,
18440 __pyx_pw_8PyClical_8clifford_31__imul__,
18441 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 18442 __pyx_pw_8PyClical_8clifford_47__idiv__,
18444 __pyx_pw_8PyClical_8clifford_35__imod__,
18448 __pyx_pw_8PyClical_8clifford_39__iand__,
18449 __pyx_pw_8PyClical_8clifford_43__ixor__,
18450 __pyx_pw_8PyClical_8clifford_53__ior__,
18456 #if PY_VERSION_HEX >= 0x03050000 18459 #if PY_VERSION_HEX >= 0x03050000 18464 static PySequenceMethods __pyx_tp_as_sequence_clifford = {
18468 __pyx_sq_item_8PyClical_clifford,
18472 __pyx_pw_8PyClical_8clifford_7__contains__,
18477 static PyMappingMethods __pyx_tp_as_mapping_clifford = {
18479 __pyx_pw_8PyClical_8clifford_15__getitem__,
18483 static PyTypeObject __pyx_type_8PyClical_clifford = {
18484 PyVarObject_HEAD_INIT(0, 0)
18485 "PyClical.clifford",
18486 sizeof(
struct __pyx_obj_8PyClical_clifford),
18488 __pyx_tp_dealloc_8PyClical_clifford,
18489 #if PY_VERSION_HEX < 0x030800b4
18492 #if PY_VERSION_HEX >= 0x030800b4
18497 #if PY_MAJOR_VERSION < 3 18500 #if PY_MAJOR_VERSION >= 3 18503 __pyx_pw_8PyClical_8clifford_93__repr__,
18504 &__pyx_tp_as_number_clifford,
18505 &__pyx_tp_as_sequence_clifford,
18506 &__pyx_tp_as_mapping_clifford,
18508 __pyx_pw_8PyClical_8clifford_61__call__,
18509 __pyx_pw_8PyClical_8clifford_95__str__,
18513 Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE,
18514 "\n Python class clifford wraps C++ class Clifford.\n ",
18517 __pyx_pw_8PyClical_8clifford_13__richcmp__,
18519 __pyx_pw_8PyClical_8clifford_9__iter__,
18521 __pyx_methods_8PyClical_clifford,
18531 __pyx_tp_new_8PyClical_clifford,
18541 #if PY_VERSION_HEX >= 0x030400a1 18544 #if PY_VERSION_HEX >= 0x030800b1 18547 #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000 18552 static struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *__pyx_freelist_8PyClical___pyx_scope_struct____iter__[8];
18553 static int __pyx_freecount_8PyClical___pyx_scope_struct____iter__ = 0;
18555 static PyObject *__pyx_tp_new_8PyClical___pyx_scope_struct____iter__(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
18557 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__)))) {
18558 o = (PyObject*)__pyx_freelist_8PyClical___pyx_scope_struct____iter__[--__pyx_freecount_8PyClical___pyx_scope_struct____iter__];
18559 memset(o, 0,
sizeof(
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__));
18560 (void) PyObject_INIT(o, t);
18561 PyObject_GC_Track(o);
18563 o = (*t->tp_alloc)(t, 0);
18564 if (unlikely(!o))
return 0;
18569 static void __pyx_tp_dealloc_8PyClical___pyx_scope_struct____iter__(PyObject *o) {
18570 struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *p = (
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o;
18571 PyObject_GC_UnTrack(o);
18572 Py_CLEAR(p->__pyx_v_idx);
18573 Py_CLEAR(p->__pyx_v_self);
18574 Py_CLEAR(p->__pyx_t_0);
18575 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__)))) {
18576 __pyx_freelist_8PyClical___pyx_scope_struct____iter__[__pyx_freecount_8PyClical___pyx_scope_struct____iter__++] = ((
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o);
18578 (*Py_TYPE(o)->tp_free)(o);
18582 static int __pyx_tp_traverse_8PyClical___pyx_scope_struct____iter__(PyObject *o, visitproc v,
void *a) {
18584 struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *p = (
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o;
18585 if (p->__pyx_v_idx) {
18586 e = (*v)(p->__pyx_v_idx, a);
if (
e)
return e;
18588 if (p->__pyx_v_self) {
18589 e = (*v)(((PyObject *)p->__pyx_v_self), a);
if (
e)
return e;
18591 if (p->__pyx_t_0) {
18592 e = (*v)(p->__pyx_t_0, a);
if (
e)
return e;
18597 static PyTypeObject __pyx_type_8PyClical___pyx_scope_struct____iter__ = {
18598 PyVarObject_HEAD_INIT(0, 0)
18599 "PyClical.__pyx_scope_struct____iter__",
18600 sizeof(
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__),
18602 __pyx_tp_dealloc_8PyClical___pyx_scope_struct____iter__,
18603 #if PY_VERSION_HEX < 0x030800b4
18606 #if PY_VERSION_HEX >= 0x030800b4
18611 #if PY_MAJOR_VERSION < 3 18614 #if PY_MAJOR_VERSION >= 3 18627 Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC,
18629 __pyx_tp_traverse_8PyClical___pyx_scope_struct____iter__,
18645 __pyx_tp_new_8PyClical___pyx_scope_struct____iter__,
18655 #if PY_VERSION_HEX >= 0x030400a1 18658 #if PY_VERSION_HEX >= 0x030800b1 18661 #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000 18666 static PyMethodDef __pyx_methods[] = {
18667 {
"compare", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_3compare, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_2compare},
18668 {
"min_neg", (PyCFunction)__pyx_pw_8PyClical_5min_neg, METH_O, __pyx_doc_8PyClical_4min_neg},
18669 {
"max_pos", (PyCFunction)__pyx_pw_8PyClical_7max_pos, METH_O, __pyx_doc_8PyClical_6max_pos},
18670 {
"inv", (PyCFunction)__pyx_pw_8PyClical_11inv, METH_O, __pyx_doc_8PyClical_10inv},
18671 {
"scalar", (PyCFunction)__pyx_pw_8PyClical_13scalar, METH_O, __pyx_doc_8PyClical_12scalar},
18672 {
"real", (PyCFunction)__pyx_pw_8PyClical_15real, METH_O, __pyx_doc_8PyClical_14real},
18673 {
"imag", (PyCFunction)__pyx_pw_8PyClical_17imag, METH_O, __pyx_doc_8PyClical_16imag},
18674 {
"pure", (PyCFunction)__pyx_pw_8PyClical_19pure, METH_O, __pyx_doc_8PyClical_18pure},
18675 {
"even", (PyCFunction)__pyx_pw_8PyClical_21even, METH_O, __pyx_doc_8PyClical_20even},
18676 {
"odd", (PyCFunction)__pyx_pw_8PyClical_23odd, METH_O, __pyx_doc_8PyClical_22odd},
18677 {
"involute", (PyCFunction)__pyx_pw_8PyClical_25involute, METH_O, __pyx_doc_8PyClical_24involute},
18678 {
"reverse", (PyCFunction)__pyx_pw_8PyClical_27reverse, METH_O, __pyx_doc_8PyClical_26reverse},
18679 {
"conj", (PyCFunction)__pyx_pw_8PyClical_29conj, METH_O, __pyx_doc_8PyClical_28conj},
18680 {
"quad", (PyCFunction)__pyx_pw_8PyClical_31quad, METH_O, __pyx_doc_8PyClical_30quad},
18681 {
"norm", (PyCFunction)__pyx_pw_8PyClical_33norm, METH_O, __pyx_doc_8PyClical_32norm},
18682 {
"abs", (PyCFunction)__pyx_pw_8PyClical_35abs, METH_O, __pyx_doc_8PyClical_34abs},
18683 {
"max_abs", (PyCFunction)__pyx_pw_8PyClical_37max_abs, METH_O, __pyx_doc_8PyClical_36max_abs},
18684 {
"pow", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_39pow, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_38pow},
18685 {
"outer_pow", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_41outer_pow, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_40outer_pow},
18686 {
"complexifier", (PyCFunction)__pyx_pw_8PyClical_43complexifier, METH_O, __pyx_doc_8PyClical_42complexifier},
18687 {
"sqrt", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_45sqrt, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_44sqrt},
18688 {
"exp", (PyCFunction)__pyx_pw_8PyClical_47exp, METH_O, __pyx_doc_8PyClical_46exp},
18689 {
"log", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_49log, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_48log},
18690 {
"cos", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_51cos, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_50cos},
18691 {
"acos", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_53acos, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_52acos},
18692 {
"cosh", (PyCFunction)__pyx_pw_8PyClical_55cosh, METH_O, __pyx_doc_8PyClical_54cosh},
18693 {
"acosh", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_57acosh, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_56acosh},
18694 {
"sin", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_59sin, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_58sin},
18695 {
"asin", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_61asin, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_60asin},
18696 {
"sinh", (PyCFunction)__pyx_pw_8PyClical_63sinh, METH_O, __pyx_doc_8PyClical_62sinh},
18697 {
"asinh", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_65asinh, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_64asinh},
18698 {
"tan", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_67tan, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_66tan},
18699 {
"atan", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_69atan, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_68atan},
18700 {
"tanh", (PyCFunction)__pyx_pw_8PyClical_71tanh, METH_O, __pyx_doc_8PyClical_70tanh},
18701 {
"atanh", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_73atanh, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_72atanh},
18702 {
"random_clifford", (PyCFunction)(
void*)(PyCFunctionWithKeywords)__pyx_pw_8PyClical_75random_clifford, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8PyClical_74random_clifford},
18703 {
"cga3", (PyCFunction)__pyx_pw_8PyClical_77cga3, METH_O, __pyx_doc_8PyClical_76cga3},
18704 {
"cga3std", (PyCFunction)__pyx_pw_8PyClical_79cga3std, METH_O, __pyx_doc_8PyClical_78cga3std},
18705 {
"agc3", (PyCFunction)__pyx_pw_8PyClical_81agc3, METH_O, __pyx_doc_8PyClical_80agc3},
18709 #if PY_MAJOR_VERSION >= 3 18710 #if CYTHON_PEP489_MULTI_PHASE_INIT 18711 static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def);
18712 static int __pyx_pymod_exec_PyClical(PyObject* module);
18713 static PyModuleDef_Slot __pyx_moduledef_slots[] = {
18714 {Py_mod_create, (
void*)__pyx_pymod_create},
18715 {Py_mod_exec, (
void*)__pyx_pymod_exec_PyClical},
18720 static struct PyModuleDef __pyx_moduledef = {
18721 PyModuleDef_HEAD_INIT,
18724 #if CYTHON_PEP489_MULTI_PHASE_INIT 18730 #if CYTHON_PEP489_MULTI_PHASE_INIT 18731 __pyx_moduledef_slots,
18740 #ifndef CYTHON_SMALL_CODE 18741 #if defined(__clang__) 18742 #define CYTHON_SMALL_CODE 18743 #elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3)) 18744 #define CYTHON_SMALL_CODE __attribute__((cold)) 18746 #define CYTHON_SMALL_CODE 18750 static __Pyx_StringTabEntry __pyx_string_tab[] = {
18751 {&__pyx_kp_s_, __pyx_k_,
sizeof(__pyx_k_), 0, 0, 1, 0},
18752 {&__pyx_kp_s_0_8_2, __pyx_k_0_8_2,
sizeof(__pyx_k_0_8_2), 0, 0, 1, 0},
18753 {&__pyx_kp_u_Abbreviation_for_clifford_index, __pyx_k_Abbreviation_for_clifford_index,
sizeof(__pyx_k_Abbreviation_for_clifford_index), 0, 1, 0, 0},
18754 {&__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},
18755 {&__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},
18756 {&__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},
18757 {&__pyx_kp_s_Cannot_initialize_clifford_objec, __pyx_k_Cannot_initialize_clifford_objec,
sizeof(__pyx_k_Cannot_initialize_clifford_objec), 0, 0, 1, 0},
18758 {&__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},
18759 {&__pyx_kp_s_Cannot_reframe, __pyx_k_Cannot_reframe,
sizeof(__pyx_k_Cannot_reframe), 0, 0, 1, 0},
18760 {&__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},
18761 {&__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},
18762 {&__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},
18763 {&__pyx_kp_u_Conjugation_reverse_o_involute, __pyx_k_Conjugation_reverse_o_involute,
sizeof(__pyx_k_Conjugation_reverse_o_involute), 0, 1, 0, 0},
18764 {&__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},
18765 {&__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},
18766 {&__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},
18767 {&__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},
18768 {&__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},
18769 {&__pyx_kp_u_Convert_Euclidean_3D_multivecto, __pyx_k_Convert_Euclidean_3D_multivecto,
sizeof(__pyx_k_Convert_Euclidean_3D_multivecto), 0, 1, 0, 0},
18770 {&__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},
18771 {&__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},
18772 {&__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},
18773 {&__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},
18774 {&__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},
18775 {&__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},
18776 {&__pyx_kp_u_Geometric_difference_print_clif, __pyx_k_Geometric_difference_print_clif,
sizeof(__pyx_k_Geometric_difference_print_clif), 0, 1, 0, 0},
18777 {&__pyx_kp_u_Geometric_difference_x_clifford, __pyx_k_Geometric_difference_x_clifford,
sizeof(__pyx_k_Geometric_difference_x_clifford), 0, 1, 0, 0},
18778 {&__pyx_kp_u_Geometric_multiplicative_invers, __pyx_k_Geometric_multiplicative_invers,
sizeof(__pyx_k_Geometric_multiplicative_invers), 0, 1, 0, 0},
18779 {&__pyx_kp_u_Geometric_multiplicative_invers_2, __pyx_k_Geometric_multiplicative_invers_2,
sizeof(__pyx_k_Geometric_multiplicative_invers_2), 0, 1, 0, 0},
18780 {&__pyx_kp_u_Geometric_product_print_cliffor, __pyx_k_Geometric_product_print_cliffor,
sizeof(__pyx_k_Geometric_product_print_cliffor), 0, 1, 0, 0},
18781 {&__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},
18782 {&__pyx_kp_u_Geometric_quotient_print_cliffo, __pyx_k_Geometric_quotient_print_cliffo,
sizeof(__pyx_k_Geometric_quotient_print_cliffo), 0, 1, 0, 0},
18783 {&__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},
18784 {&__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},
18785 {&__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},
18786 {&__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},
18787 {&__pyx_kp_u_Hyperbolic_cosine_of_multivecto, __pyx_k_Hyperbolic_cosine_of_multivecto,
sizeof(__pyx_k_Hyperbolic_cosine_of_multivecto), 0, 1, 0, 0},
18788 {&__pyx_kp_u_Hyperbolic_sine_of_multivector, __pyx_k_Hyperbolic_sine_of_multivector,
sizeof(__pyx_k_Hyperbolic_sine_of_multivector), 0, 1, 0, 0},
18789 {&__pyx_kp_u_Hyperbolic_tangent_of_multivect, __pyx_k_Hyperbolic_tangent_of_multivect,
sizeof(__pyx_k_Hyperbolic_tangent_of_multivect), 0, 1, 0, 0},
18790 {&__pyx_kp_u_Imaginary_part_deprecated_alway, __pyx_k_Imaginary_part_deprecated_alway,
sizeof(__pyx_k_Imaginary_part_deprecated_alway), 0, 1, 0, 0},
18791 {&__pyx_n_s_IndexError, __pyx_k_IndexError,
sizeof(__pyx_k_IndexError), 0, 0, 1, 1},
18792 {&__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},
18793 {&__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},
18794 {&__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},
18795 {&__pyx_n_s_Integral, __pyx_k_Integral,
sizeof(__pyx_k_Integral), 0, 0, 1, 1},
18796 {&__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},
18797 {&__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},
18798 {&__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},
18799 {&__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},
18800 {&__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},
18801 {&__pyx_kp_u_Inverse_tangent_of_multivector, __pyx_k_Inverse_tangent_of_multivector,
sizeof(__pyx_k_Inverse_tangent_of_multivector), 0, 1, 0, 0},
18802 {&__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},
18803 {&__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},
18804 {&__pyx_kp_u_Main_involution_each_i_is_repla_2, __pyx_k_Main_involution_each_i_is_repla_2,
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18805 {&__pyx_kp_u_Maximum_absolute_value_of_coord, __pyx_k_Maximum_absolute_value_of_coord,
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18806 {&__pyx_kp_u_Maximum_member_index_set_1_1_2, __pyx_k_Maximum_member_index_set_1_1_2,
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18807 {&__pyx_kp_u_Maximum_of_absolute_values_of_c, __pyx_k_Maximum_of_absolute_values_of_c,
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18808 {&__pyx_kp_u_Maximum_positive_index_or_0_if, __pyx_k_Maximum_positive_index_or_0_if,
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18809 {&__pyx_kp_u_Minimum_member_index_set_1_1_2, __pyx_k_Minimum_member_index_set_1_1_2,
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18810 {&__pyx_kp_u_Minimum_negative_index_or_0_if, __pyx_k_Minimum_negative_index_or_0_if,
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18811 {&__pyx_kp_u_Natural_logarithm_of_multivecto, __pyx_k_Natural_logarithm_of_multivecto,
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18812 {&__pyx_kp_u_Norm_sum_of_squares_of_coordina, __pyx_k_Norm_sum_of_squares_of_coordina,
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18813 {&__pyx_n_s_NotImplemented, __pyx_k_NotImplemented,
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18814 {&__pyx_kp_s_Not_applicable, __pyx_k_Not_applicable,
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18815 {&__pyx_kp_u_Not_applicable_for_a_in_cliffor, __pyx_k_Not_applicable_for_a_in_cliffor,
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18817 {&__pyx_kp_u_Number_of_positive_indices_incl, __pyx_k_Number_of_positive_indices_incl,
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18818 {&__pyx_kp_u_Odd_part_of_multivector_sum_of, __pyx_k_Odd_part_of_multivector_sum_of,
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18819 {&__pyx_kp_u_Odd_part_of_multivector_sum_of_2, __pyx_k_Odd_part_of_multivector_sum_of_2,
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18820 {&__pyx_kp_u_Outer_product_power_of_multivec, __pyx_k_Outer_product_power_of_multivec,
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18821 {&__pyx_kp_u_Outer_product_power_x_clifford, __pyx_k_Outer_product_power_x_clifford,
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18822 {&__pyx_kp_u_Outer_product_print_clifford_1, __pyx_k_Outer_product_print_clifford_1,
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18834 {&__pyx_kp_u_Random_multivector_within_a_fra, __pyx_k_Random_multivector_within_a_fra,
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18839 {&__pyx_kp_u_Reversion_eg_clifford_1_cliffor, __pyx_k_Reversion_eg_clifford_1_cliffor,
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18840 {&__pyx_n_s_RuntimeError, __pyx_k_RuntimeError,
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18842 {&__pyx_kp_u_Scalar_part_scalar_clifford_1_1, __pyx_k_Scalar_part_scalar_clifford_1_1,
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18843 {&__pyx_n_s_Sequence, __pyx_k_Sequence,
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18844 {&__pyx_kp_u_Set_complement_not_print_index, __pyx_k_Set_complement_not_print_index,
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18845 {&__pyx_kp_u_Set_intersection_and_print_inde, __pyx_k_Set_intersection_and_print_inde,
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18846 {&__pyx_kp_u_Set_intersection_and_x_index_se, __pyx_k_Set_intersection_and_x_index_se,
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18847 {&__pyx_kp_u_Set_the_value_of_an_index_set_o, __pyx_k_Set_the_value_of_an_index_set_o,
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18848 {&__pyx_kp_u_Set_union_or_print_index_set_1, __pyx_k_Set_union_or_print_index_set_1,
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18849 {&__pyx_kp_u_Set_union_or_x_index_set_1_x_in, __pyx_k_Set_union_or_x_index_set_1_x_in,
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18850 {&__pyx_kp_u_Sign_of_geometric_product_of_tw, __pyx_k_Sign_of_geometric_product_of_tw,
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sizeof(__pyx_k_inv_line_1329), 0, 1, 0, 0},
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19000 {&__pyx_kp_s_invalid_string, __pyx_k_invalid_string,
sizeof(__pyx_k_invalid_string), 0, 0, 1, 0},
19001 {&__pyx_n_s_involute, __pyx_k_involute,
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19002 {&__pyx_kp_u_involute_line_1406, __pyx_k_involute_line_1406,
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19007 {&__pyx_n_s_ixt, __pyx_k_ixt,
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19008 {&__pyx_kp_u_lexicographic_compare_eg_3_4_5, __pyx_k_lexicographic_compare_eg_3_4_5,
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19010 {&__pyx_n_s_log, __pyx_k_log,
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19011 {&__pyx_kp_u_log_line_1579, __pyx_k_log_line_1579,
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19012 {&__pyx_n_s_m, __pyx_k_m,
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19015 {&__pyx_n_s_max, __pyx_k_max,
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19016 {&__pyx_kp_u_max_abs_line_1482, __pyx_k_max_abs_line_1482,
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19017 {&__pyx_kp_u_max_pos_line_511, __pyx_k_max_pos_line_511,
sizeof(__pyx_k_max_pos_line_511), 0, 1, 0, 0},
19018 {&__pyx_n_s_min, __pyx_k_min,
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19019 {&__pyx_kp_u_min_neg_line_502, __pyx_k_min_neg_line_502,
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19020 {&__pyx_n_s_name, __pyx_k_name,
sizeof(__pyx_k_name), 0, 0, 1, 1},
19021 {&__pyx_n_s_nbar3, __pyx_k_nbar3,
sizeof(__pyx_k_nbar3), 0, 0, 1, 1},
19022 {&__pyx_n_s_ninf3, __pyx_k_ninf3,
sizeof(__pyx_k_ninf3), 0, 0, 1, 1},
19023 {&__pyx_kp_s_no_default___reduce___due_to_non, __pyx_k_no_default___reduce___due_to_non,
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19024 {&__pyx_n_s_norm, __pyx_k_norm,
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19025 {&__pyx_kp_u_norm_line_1462, __pyx_k_norm_line_1462,
sizeof(__pyx_k_norm_line_1462), 0, 1, 0, 0},
19026 {&__pyx_kp_u_norm_sum_of_squares_of_coordina, __pyx_k_norm_sum_of_squares_of_coordina,
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19027 {&__pyx_n_s_numbers, __pyx_k_numbers,
sizeof(__pyx_k_numbers), 0, 0, 1, 1},
19028 {&__pyx_n_s_obj, __pyx_k_obj,
sizeof(__pyx_k_obj), 0, 0, 1, 1},
19029 {&__pyx_n_s_odd, __pyx_k_odd,
sizeof(__pyx_k_odd), 0, 0, 1, 1},
19030 {&__pyx_kp_u_odd_line_1397, __pyx_k_odd_line_1397,
sizeof(__pyx_k_odd_line_1397), 0, 1, 0, 0},
19031 {&__pyx_n_s_other, __pyx_k_other,
sizeof(__pyx_k_other), 0, 0, 1, 1},
19032 {&__pyx_n_s_outer_pow, __pyx_k_outer_pow,
sizeof(__pyx_k_outer_pow), 0, 0, 1, 1},
19033 {&__pyx_kp_u_outer_pow_line_1518, __pyx_k_outer_pow_line_1518,
sizeof(__pyx_k_outer_pow_line_1518), 0, 1, 0, 0},
19034 {&__pyx_n_s_p, __pyx_k_p,
sizeof(__pyx_k_p), 0, 0, 1, 1},
19035 {&__pyx_n_s_pi, __pyx_k_pi,
sizeof(__pyx_k_pi), 0, 0, 1, 1},
19036 {&__pyx_n_s_pow, __pyx_k_pow,
sizeof(__pyx_k_pow), 0, 0, 1, 1},
19037 {&__pyx_kp_u_pow_line_1494, __pyx_k_pow_line_1494,
sizeof(__pyx_k_pow_line_1494), 0, 1, 0, 0},
19038 {&__pyx_n_s_pure, __pyx_k_pure,
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19039 {&__pyx_kp_u_pure_line_1377, __pyx_k_pure_line_1377,
sizeof(__pyx_k_pure_line_1377), 0, 1, 0, 0},
19040 {&__pyx_n_s_pyx_vtable, __pyx_k_pyx_vtable,
sizeof(__pyx_k_pyx_vtable), 0, 0, 1, 1},
19041 {&__pyx_n_s_q, __pyx_k_q,
sizeof(__pyx_k_q), 0, 0, 1, 1},
19042 {&__pyx_n_s_quad, __pyx_k_quad,
sizeof(__pyx_k_quad), 0, 0, 1, 1},
19043 {&__pyx_kp_u_quad_line_1451, __pyx_k_quad_line_1451,
sizeof(__pyx_k_quad_line_1451), 0, 1, 0, 0},
19044 {&__pyx_kp_u_random_clifford_line_1815, __pyx_k_random_clifford_line_1815,
sizeof(__pyx_k_random_clifford_line_1815), 0, 1, 0, 0},
19045 {&__pyx_n_s_range, __pyx_k_range,
sizeof(__pyx_k_range), 0, 0, 1, 1},
19046 {&__pyx_kp_u_real_line_1355, __pyx_k_real_line_1355,
sizeof(__pyx_k_real_line_1355), 0, 1, 0, 0},
19047 {&__pyx_n_s_reduce, __pyx_k_reduce,
sizeof(__pyx_k_reduce), 0, 0, 1, 1},
19048 {&__pyx_n_s_reduce_cython, __pyx_k_reduce_cython,
sizeof(__pyx_k_reduce_cython), 0, 0, 1, 1},
19049 {&__pyx_n_s_reduce_ex, __pyx_k_reduce_ex,
sizeof(__pyx_k_reduce_ex), 0, 0, 1, 1},
19050 {&__pyx_n_s_reverse, __pyx_k_reverse,
sizeof(__pyx_k_reverse), 0, 0, 1, 1},
19051 {&__pyx_kp_u_reverse_line_1421, __pyx_k_reverse_line_1421,
sizeof(__pyx_k_reverse_line_1421), 0, 1, 0, 0},
19052 {&__pyx_n_s_rhs, __pyx_k_rhs,
sizeof(__pyx_k_rhs), 0, 0, 1, 1},
19053 {&__pyx_n_s_scalar, __pyx_k_scalar,
sizeof(__pyx_k_scalar), 0, 0, 1, 1},
19054 {&__pyx_kp_u_scalar_line_1344, __pyx_k_scalar_line_1344,
sizeof(__pyx_k_scalar_line_1344), 0, 1, 0, 0},
19055 {&__pyx_n_s_send, __pyx_k_send,
sizeof(__pyx_k_send), 0, 0, 1, 1},
19056 {&__pyx_n_s_setstate, __pyx_k_setstate,
sizeof(__pyx_k_setstate), 0, 0, 1, 1},
19057 {&__pyx_n_s_setstate_cython, __pyx_k_setstate_cython,
sizeof(__pyx_k_setstate_cython), 0, 0, 1, 1},
19058 {&__pyx_n_s_sin, __pyx_k_sin,
sizeof(__pyx_k_sin), 0, 0, 1, 1},
19059 {&__pyx_kp_u_sin_line_1679, __pyx_k_sin_line_1679,
sizeof(__pyx_k_sin_line_1679), 0, 1, 0, 0},
19060 {&__pyx_n_s_sinh, __pyx_k_sinh,
sizeof(__pyx_k_sinh), 0, 0, 1, 1},
19061 {&__pyx_kp_u_sinh_line_1719, __pyx_k_sinh_line_1719,
sizeof(__pyx_k_sinh_line_1719), 0, 1, 0, 0},
19062 {&__pyx_n_s_sqrt, __pyx_k_sqrt,
sizeof(__pyx_k_sqrt), 0, 0, 1, 1},
19063 {&__pyx_kp_u_sqrt_line_1542, __pyx_k_sqrt_line_1542,
sizeof(__pyx_k_sqrt_line_1542), 0, 1, 0, 0},
19064 {&__pyx_n_s_tan, __pyx_k_tan,
sizeof(__pyx_k_tan), 0, 0, 1, 1},
19065 {&__pyx_kp_u_tan_line_1752, __pyx_k_tan_line_1752,
sizeof(__pyx_k_tan_line_1752), 0, 1, 0, 0},
19066 {&__pyx_n_s_tanh, __pyx_k_tanh,
sizeof(__pyx_k_tanh), 0, 0, 1, 1},
19067 {&__pyx_kp_u_tanh_line_1786, __pyx_k_tanh_line_1786,
sizeof(__pyx_k_tanh_line_1786), 0, 1, 0, 0},
19068 {&__pyx_n_s_tau, __pyx_k_tau,
sizeof(__pyx_k_tau), 0, 0, 1, 1},
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19070 {&__pyx_n_s_test_2, __pyx_k_test_2,
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19071 {&__pyx_n_s_testmod, __pyx_k_testmod,
sizeof(__pyx_k_testmod), 0, 0, 1, 1},
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sizeof(__pyx_k_throw), 0, 0, 1, 1},
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sizeof(__pyx_k_to_frame), 0, 0, 1, 0},
19074 {&__pyx_kp_s_using, __pyx_k_using,
sizeof(__pyx_k_using), 0, 0, 1, 0},
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sizeof(__pyx_k_using_invalid), 0, 0, 1, 0},
19076 {&__pyx_kp_s_value, __pyx_k_value,
sizeof(__pyx_k_value), 0, 0, 1, 0},
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sizeof(__pyx_k_version), 0, 0, 1, 1},
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19083 __pyx_builtin_RuntimeError = __Pyx_GetBuiltinName(__pyx_n_s_RuntimeError);
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19085 __pyx_builtin_ValueError = __Pyx_GetBuiltinName(__pyx_n_s_ValueError);
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19091 __pyx_builtin_xrange = __Pyx_GetBuiltinName(__pyx_n_s_xrange);
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19098 static CYTHON_SMALL_CODE
int __Pyx_InitCachedConstants(
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19100 __Pyx_RefNannySetupContext(
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19109 __Pyx_GOTREF(__pyx_tuple__3);
19110 __Pyx_GIVEREF(__pyx_tuple__3);
19117 __pyx_tuple__4 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non);
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19118 __Pyx_GOTREF(__pyx_tuple__4);
19119 __Pyx_GIVEREF(__pyx_tuple__4);
19128 __pyx_tuple__10 = PyTuple_Pack(1, __pyx_kp_s_Not_applicable);
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19130 __Pyx_GIVEREF(__pyx_tuple__10);
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19139 __Pyx_GOTREF(__pyx_tuple__11);
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19211 __pyx_tuple__20 = PyTuple_Pack(1, __pyx_int_4);
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19212 __Pyx_GOTREF(__pyx_tuple__20);
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19215 __Pyx_GOTREF(__pyx_tuple__21);
19216 __Pyx_GIVEREF(__pyx_tuple__21);
19225 __pyx_tuple__22 = PyTuple_Pack(2, __pyx_n_s_PyClical, __pyx_n_s_doctest);
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19226 __Pyx_GOTREF(__pyx_tuple__22);
19227 __Pyx_GIVEREF(__pyx_tuple__22);
19228 __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);
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19229 __Pyx_RefNannyFinishContext();
19232 __Pyx_RefNannyFinishContext();
19236 static CYTHON_SMALL_CODE
int __Pyx_InitGlobals(
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19238 __pyx_float_0_0 =
PyFloat_FromDouble(0.0);
if (unlikely(!__pyx_float_0_0)) __PYX_ERR(0, 1, __pyx_L1_error)
19239 __pyx_float_1_0 =
PyFloat_FromDouble(1.0);
if (unlikely(!__pyx_float_1_0)) __PYX_ERR(0, 1, __pyx_L1_error)
19240 __pyx_float_2_0 =
PyFloat_FromDouble(2.0);
if (unlikely(!__pyx_float_2_0)) __PYX_ERR(0, 1, __pyx_L1_error)
19241 __pyx_float_8_0 =
PyFloat_FromDouble(8.0);
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19242 __pyx_int_0 = PyInt_FromLong(0);
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19245 __pyx_int_neg_1 = PyInt_FromLong(-1);
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int __Pyx_modinit_global_init_code(
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19252 static CYTHON_SMALL_CODE
int __Pyx_modinit_variable_export_code(
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19253 static CYTHON_SMALL_CODE
int __Pyx_modinit_function_export_code(
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19254 static CYTHON_SMALL_CODE
int __Pyx_modinit_type_init_code(
void);
19255 static CYTHON_SMALL_CODE
int __Pyx_modinit_type_import_code(
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19256 static CYTHON_SMALL_CODE
int __Pyx_modinit_variable_import_code(
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19257 static CYTHON_SMALL_CODE
int __Pyx_modinit_function_import_code(
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19261 __Pyx_RefNannySetupContext(
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19277 __Pyx_RefNannySetupContext(
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19285 __Pyx_RefNannySetupContext(
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19287 __pyx_vtabptr_8PyClical_index_set = &__pyx_vtable_8PyClical_index_set;
19288 __pyx_vtable_8PyClical_index_set.wrap = (PyObject *(*)(
struct __pyx_obj_8PyClical_index_set *,
IndexSet))__pyx_f_8PyClical_9index_set_wrap;
19289 __pyx_vtable_8PyClical_index_set.unwrap = (
IndexSet (*)(
struct __pyx_obj_8PyClical_index_set *))__pyx_f_8PyClical_9index_set_unwrap;
19290 __pyx_vtable_8PyClical_index_set.copy = (PyObject *(*)(
struct __pyx_obj_8PyClical_index_set *,
int __pyx_skip_dispatch))__pyx_f_8PyClical_9index_set_copy;
19291 if (PyType_Ready(&__pyx_type_8PyClical_index_set) < 0) __PYX_ERR(0, 45, __pyx_L1_error)
19292 #if PY_VERSION_HEX < 0x030800B1 19293 __pyx_type_8PyClical_index_set.tp_print = 0;
19295 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)) {
19296 __pyx_type_8PyClical_index_set.tp_getattro = __Pyx_PyObject_GenericGetAttr;
19298 #if CYTHON_COMPILING_IN_CPYTHON 19300 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
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if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19301 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19302 __pyx_wrapperbase_8PyClical_9index_set_8__setitem__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19303 __pyx_wrapperbase_8PyClical_9index_set_8__setitem__.doc = __pyx_doc_8PyClical_9index_set_8__setitem__;
19304 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_8__setitem__;
19308 #if CYTHON_COMPILING_IN_CPYTHON 19310 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
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if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19311 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19312 __pyx_wrapperbase_8PyClical_9index_set_10__getitem__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19313 __pyx_wrapperbase_8PyClical_9index_set_10__getitem__.doc = __pyx_doc_8PyClical_9index_set_10__getitem__;
19314 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_10__getitem__;
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if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19321 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19322 __pyx_wrapperbase_8PyClical_9index_set_12__contains__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19323 __pyx_wrapperbase_8PyClical_9index_set_12__contains__.doc = __pyx_doc_8PyClical_9index_set_12__contains__;
19324 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_12__contains__;
19328 #if CYTHON_COMPILING_IN_CPYTHON 19330 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
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if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19331 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19332 __pyx_wrapperbase_8PyClical_9index_set_14__iter__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19333 __pyx_wrapperbase_8PyClical_9index_set_14__iter__.doc = __pyx_doc_8PyClical_9index_set_14__iter__;
19334 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_14__iter__;
19338 #if CYTHON_COMPILING_IN_CPYTHON 19340 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__invert__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19341 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19342 __pyx_wrapperbase_8PyClical_9index_set_17__invert__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19343 __pyx_wrapperbase_8PyClical_9index_set_17__invert__.doc = __pyx_doc_8PyClical_9index_set_17__invert__;
19344 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_17__invert__;
19348 #if CYTHON_COMPILING_IN_CPYTHON 19350 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__xor__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19351 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19352 __pyx_wrapperbase_8PyClical_9index_set_19__xor__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19353 __pyx_wrapperbase_8PyClical_9index_set_19__xor__.doc = __pyx_doc_8PyClical_9index_set_19__xor__;
19354 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_19__xor__;
19358 #if CYTHON_COMPILING_IN_CPYTHON 19360 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__ixor__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19361 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19362 __pyx_wrapperbase_8PyClical_9index_set_21__ixor__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19363 __pyx_wrapperbase_8PyClical_9index_set_21__ixor__.doc = __pyx_doc_8PyClical_9index_set_21__ixor__;
19364 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_21__ixor__;
19368 #if CYTHON_COMPILING_IN_CPYTHON 19370 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__and__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19371 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19372 __pyx_wrapperbase_8PyClical_9index_set_23__and__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19373 __pyx_wrapperbase_8PyClical_9index_set_23__and__.doc = __pyx_doc_8PyClical_9index_set_23__and__;
19374 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_23__and__;
19378 #if CYTHON_COMPILING_IN_CPYTHON 19380 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__iand__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19381 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19382 __pyx_wrapperbase_8PyClical_9index_set_25__iand__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19383 __pyx_wrapperbase_8PyClical_9index_set_25__iand__.doc = __pyx_doc_8PyClical_9index_set_25__iand__;
19384 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_25__iand__;
19388 #if CYTHON_COMPILING_IN_CPYTHON 19390 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__or__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19391 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19392 __pyx_wrapperbase_8PyClical_9index_set_27__or__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19393 __pyx_wrapperbase_8PyClical_9index_set_27__or__.doc = __pyx_doc_8PyClical_9index_set_27__or__;
19394 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_27__or__;
19398 #if CYTHON_COMPILING_IN_CPYTHON 19400 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__ior__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19401 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19402 __pyx_wrapperbase_8PyClical_9index_set_29__ior__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19403 __pyx_wrapperbase_8PyClical_9index_set_29__ior__.doc = __pyx_doc_8PyClical_9index_set_29__ior__;
19404 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_29__ior__;
19408 #if CYTHON_COMPILING_IN_CPYTHON 19410 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__repr__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19411 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19412 __pyx_wrapperbase_8PyClical_9index_set_47__repr__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19413 __pyx_wrapperbase_8PyClical_9index_set_47__repr__.doc = __pyx_doc_8PyClical_9index_set_47__repr__;
19414 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_47__repr__;
19418 #if CYTHON_COMPILING_IN_CPYTHON 19420 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set,
"__str__");
if (unlikely(!wrapper)) __PYX_ERR(0, 45, __pyx_L1_error)
19421 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19422 __pyx_wrapperbase_8PyClical_9index_set_49__str__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19423 __pyx_wrapperbase_8PyClical_9index_set_49__str__.doc = __pyx_doc_8PyClical_9index_set_49__str__;
19424 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_49__str__;
19428 if (__Pyx_SetVtable(__pyx_type_8PyClical_index_set.tp_dict, __pyx_vtabptr_8PyClical_index_set) < 0) __PYX_ERR(0, 45, __pyx_L1_error)
19429 if (PyObject_SetAttr(__pyx_m, __pyx_n_s_index_set, (PyObject *)&__pyx_type_8PyClical_index_set) < 0) __PYX_ERR(0, 45, __pyx_L1_error)
19430 if (__Pyx_setup_reduce((PyObject*)&__pyx_type_8PyClical_index_set) < 0) __PYX_ERR(0, 45, __pyx_L1_error)
19431 __pyx_ptype_8PyClical_index_set = &__pyx_type_8PyClical_index_set;
19432 __pyx_vtabptr_8PyClical_clifford = &__pyx_vtable_8PyClical_clifford;
19433 __pyx_vtable_8PyClical_clifford.wrap = (PyObject *(*)(
struct __pyx_obj_8PyClical_clifford *,
Clifford))__pyx_f_8PyClical_8clifford_wrap;
19434 __pyx_vtable_8PyClical_clifford.unwrap = (
Clifford (*)(
struct __pyx_obj_8PyClical_clifford *))__pyx_f_8PyClical_8clifford_unwrap;
19435 __pyx_vtable_8PyClical_clifford.copy = (PyObject *(*)(
struct __pyx_obj_8PyClical_clifford *,
int __pyx_skip_dispatch))__pyx_f_8PyClical_8clifford_copy;
19436 if (PyType_Ready(&__pyx_type_8PyClical_clifford) < 0) __PYX_ERR(0, 535, __pyx_L1_error)
19437 #if PY_VERSION_HEX < 0x030800B1 19438 __pyx_type_8PyClical_clifford.tp_print = 0;
19440 if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_8PyClical_clifford.tp_dictoffset && __pyx_type_8PyClical_clifford.tp_getattro == PyObject_GenericGetAttr)) {
19441 __pyx_type_8PyClical_clifford.tp_getattro = __Pyx_PyObject_GenericGetAttr;
19443 #if CYTHON_COMPILING_IN_CPYTHON 19445 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__contains__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19446 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19447 __pyx_wrapperbase_8PyClical_8clifford_6__contains__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19448 __pyx_wrapperbase_8PyClical_8clifford_6__contains__.doc = __pyx_doc_8PyClical_8clifford_6__contains__;
19449 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_6__contains__;
19453 #if CYTHON_COMPILING_IN_CPYTHON 19455 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__iter__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19456 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19457 __pyx_wrapperbase_8PyClical_8clifford_8__iter__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19458 __pyx_wrapperbase_8PyClical_8clifford_8__iter__.doc = __pyx_doc_8PyClical_8clifford_8__iter__;
19459 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_8__iter__;
19463 #if CYTHON_COMPILING_IN_CPYTHON 19465 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
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if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19466 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19467 __pyx_wrapperbase_8PyClical_8clifford_14__getitem__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19468 __pyx_wrapperbase_8PyClical_8clifford_14__getitem__.doc = __pyx_doc_8PyClical_8clifford_14__getitem__;
19469 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_14__getitem__;
19473 #if CYTHON_COMPILING_IN_CPYTHON 19475 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
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if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19476 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19477 __pyx_wrapperbase_8PyClical_8clifford_16__neg__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19478 __pyx_wrapperbase_8PyClical_8clifford_16__neg__.doc = __pyx_doc_8PyClical_8clifford_16__neg__;
19479 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_16__neg__;
19483 #if CYTHON_COMPILING_IN_CPYTHON 19485 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
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if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19486 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19487 __pyx_wrapperbase_8PyClical_8clifford_18__pos__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19488 __pyx_wrapperbase_8PyClical_8clifford_18__pos__.doc = __pyx_doc_8PyClical_8clifford_18__pos__;
19489 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_18__pos__;
19493 #if CYTHON_COMPILING_IN_CPYTHON 19495 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
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if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19496 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19497 __pyx_wrapperbase_8PyClical_8clifford_20__add__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19498 __pyx_wrapperbase_8PyClical_8clifford_20__add__.doc = __pyx_doc_8PyClical_8clifford_20__add__;
19499 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_20__add__;
19503 #if CYTHON_COMPILING_IN_CPYTHON 19505 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
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19506 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19507 __pyx_wrapperbase_8PyClical_8clifford_22__iadd__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19508 __pyx_wrapperbase_8PyClical_8clifford_22__iadd__.doc = __pyx_doc_8PyClical_8clifford_22__iadd__;
19509 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_22__iadd__;
19513 #if CYTHON_COMPILING_IN_CPYTHON 19515 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
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if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19516 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19517 __pyx_wrapperbase_8PyClical_8clifford_24__sub__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19518 __pyx_wrapperbase_8PyClical_8clifford_24__sub__.doc = __pyx_doc_8PyClical_8clifford_24__sub__;
19519 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_24__sub__;
19523 #if CYTHON_COMPILING_IN_CPYTHON 19525 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
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if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19526 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19527 __pyx_wrapperbase_8PyClical_8clifford_26__isub__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19528 __pyx_wrapperbase_8PyClical_8clifford_26__isub__.doc = __pyx_doc_8PyClical_8clifford_26__isub__;
19529 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_26__isub__;
19533 #if CYTHON_COMPILING_IN_CPYTHON 19535 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__mul__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19536 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19537 __pyx_wrapperbase_8PyClical_8clifford_28__mul__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19538 __pyx_wrapperbase_8PyClical_8clifford_28__mul__.doc = __pyx_doc_8PyClical_8clifford_28__mul__;
19539 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_28__mul__;
19543 #if CYTHON_COMPILING_IN_CPYTHON 19545 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__imul__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19546 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19547 __pyx_wrapperbase_8PyClical_8clifford_30__imul__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19548 __pyx_wrapperbase_8PyClical_8clifford_30__imul__.doc = __pyx_doc_8PyClical_8clifford_30__imul__;
19549 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_30__imul__;
19553 #if CYTHON_COMPILING_IN_CPYTHON 19555 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__mod__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19556 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19557 __pyx_wrapperbase_8PyClical_8clifford_32__mod__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19558 __pyx_wrapperbase_8PyClical_8clifford_32__mod__.doc = __pyx_doc_8PyClical_8clifford_32__mod__;
19559 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_32__mod__;
19563 #if CYTHON_COMPILING_IN_CPYTHON 19565 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__imod__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19566 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19567 __pyx_wrapperbase_8PyClical_8clifford_34__imod__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19568 __pyx_wrapperbase_8PyClical_8clifford_34__imod__.doc = __pyx_doc_8PyClical_8clifford_34__imod__;
19569 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_34__imod__;
19573 #if CYTHON_COMPILING_IN_CPYTHON 19575 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__and__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19576 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19577 __pyx_wrapperbase_8PyClical_8clifford_36__and__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19578 __pyx_wrapperbase_8PyClical_8clifford_36__and__.doc = __pyx_doc_8PyClical_8clifford_36__and__;
19579 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_36__and__;
19583 #if CYTHON_COMPILING_IN_CPYTHON 19585 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__iand__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19586 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19587 __pyx_wrapperbase_8PyClical_8clifford_38__iand__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19588 __pyx_wrapperbase_8PyClical_8clifford_38__iand__.doc = __pyx_doc_8PyClical_8clifford_38__iand__;
19589 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_38__iand__;
19593 #if CYTHON_COMPILING_IN_CPYTHON 19595 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__xor__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19596 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19597 __pyx_wrapperbase_8PyClical_8clifford_40__xor__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19598 __pyx_wrapperbase_8PyClical_8clifford_40__xor__.doc = __pyx_doc_8PyClical_8clifford_40__xor__;
19599 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_40__xor__;
19603 #if CYTHON_COMPILING_IN_CPYTHON 19605 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__ixor__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19606 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19607 __pyx_wrapperbase_8PyClical_8clifford_42__ixor__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19608 __pyx_wrapperbase_8PyClical_8clifford_42__ixor__.doc = __pyx_doc_8PyClical_8clifford_42__ixor__;
19609 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_42__ixor__;
19613 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 19614 #if CYTHON_COMPILING_IN_CPYTHON 19616 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__div__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19617 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19618 __pyx_wrapperbase_8PyClical_8clifford_44__div__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19619 __pyx_wrapperbase_8PyClical_8clifford_44__div__.doc = __pyx_doc_8PyClical_8clifford_44__div__;
19620 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_44__div__;
19625 #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000) 19626 #if CYTHON_COMPILING_IN_CPYTHON 19628 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__idiv__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19629 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19630 __pyx_wrapperbase_8PyClical_8clifford_46__idiv__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19631 __pyx_wrapperbase_8PyClical_8clifford_46__idiv__.doc = __pyx_doc_8PyClical_8clifford_46__idiv__;
19632 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_46__idiv__;
19637 #if CYTHON_COMPILING_IN_CPYTHON 19639 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__or__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19640 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19641 __pyx_wrapperbase_8PyClical_8clifford_50__or__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19642 __pyx_wrapperbase_8PyClical_8clifford_50__or__.doc = __pyx_doc_8PyClical_8clifford_50__or__;
19643 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_50__or__;
19647 #if CYTHON_COMPILING_IN_CPYTHON 19649 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__ior__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19650 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19651 __pyx_wrapperbase_8PyClical_8clifford_52__ior__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19652 __pyx_wrapperbase_8PyClical_8clifford_52__ior__.doc = __pyx_doc_8PyClical_8clifford_52__ior__;
19653 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_52__ior__;
19657 #if CYTHON_COMPILING_IN_CPYTHON 19659 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__pow__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19660 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19661 __pyx_wrapperbase_8PyClical_8clifford_54__pow__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19662 __pyx_wrapperbase_8PyClical_8clifford_54__pow__.doc = __pyx_doc_8PyClical_8clifford_54__pow__;
19663 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_54__pow__;
19667 #if CYTHON_COMPILING_IN_CPYTHON 19669 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__call__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19670 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19671 __pyx_wrapperbase_8PyClical_8clifford_60__call__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19672 __pyx_wrapperbase_8PyClical_8clifford_60__call__.doc = __pyx_doc_8PyClical_8clifford_60__call__;
19673 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_60__call__;
19677 #if CYTHON_COMPILING_IN_CPYTHON 19679 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
"__repr__");
if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19680 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19681 __pyx_wrapperbase_8PyClical_8clifford_92__repr__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19682 __pyx_wrapperbase_8PyClical_8clifford_92__repr__.doc = __pyx_doc_8PyClical_8clifford_92__repr__;
19683 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_92__repr__;
19687 #if CYTHON_COMPILING_IN_CPYTHON 19689 PyObject *wrapper = PyObject_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford,
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if (unlikely(!wrapper)) __PYX_ERR(0, 535, __pyx_L1_error)
19690 if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
19691 __pyx_wrapperbase_8PyClical_8clifford_94__str__ = *((PyWrapperDescrObject *)wrapper)->d_base;
19692 __pyx_wrapperbase_8PyClical_8clifford_94__str__.doc = __pyx_doc_8PyClical_8clifford_94__str__;
19693 ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_94__str__;
19697 if (__Pyx_SetVtable(__pyx_type_8PyClical_clifford.tp_dict, __pyx_vtabptr_8PyClical_clifford) < 0) __PYX_ERR(0, 535, __pyx_L1_error)
19698 if (PyObject_SetAttr(__pyx_m, __pyx_n_s_clifford, (PyObject *)&__pyx_type_8PyClical_clifford) < 0) __PYX_ERR(0, 535, __pyx_L1_error)
19699 if (__Pyx_setup_reduce((PyObject*)&__pyx_type_8PyClical_clifford) < 0) __PYX_ERR(0, 535, __pyx_L1_error)
19700 __pyx_ptype_8PyClical_clifford = &__pyx_type_8PyClical_clifford;
19701 if (PyType_Ready(&__pyx_type_8PyClical___pyx_scope_struct____iter__) < 0) __PYX_ERR(0, 227, __pyx_L1_error)
19702 #if PY_VERSION_HEX < 0x030800B1 19703 __pyx_type_8PyClical___pyx_scope_struct____iter__.tp_print = 0;
19705 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)) {
19706 __pyx_type_8PyClical___pyx_scope_struct____iter__.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
19708 __pyx_ptype_8PyClical___pyx_scope_struct____iter__ = &__pyx_type_8PyClical___pyx_scope_struct____iter__;
19709 __Pyx_RefNannyFinishContext();
19712 __Pyx_RefNannyFinishContext();
19716 static int __Pyx_modinit_type_import_code(
void) {
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19718 __Pyx_RefNannySetupContext(
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19720 __Pyx_RefNannyFinishContext();
19724 static int __Pyx_modinit_variable_import_code(
void) {
19725 __Pyx_RefNannyDeclarations
19726 __Pyx_RefNannySetupContext(
"__Pyx_modinit_variable_import_code", 0);
19728 __Pyx_RefNannyFinishContext();
19732 static int __Pyx_modinit_function_import_code(
void) {
19733 __Pyx_RefNannyDeclarations
19734 __Pyx_RefNannySetupContext(
"__Pyx_modinit_function_import_code", 0);
19736 __Pyx_RefNannyFinishContext();
19741 #if PY_MAJOR_VERSION < 3 19742 #ifdef CYTHON_NO_PYINIT_EXPORT 19743 #define __Pyx_PyMODINIT_FUNC void 19745 #define __Pyx_PyMODINIT_FUNC PyMODINIT_FUNC 19748 #ifdef CYTHON_NO_PYINIT_EXPORT 19749 #define __Pyx_PyMODINIT_FUNC PyObject * 19751 #define __Pyx_PyMODINIT_FUNC PyMODINIT_FUNC 19756 #if PY_MAJOR_VERSION < 3 19757 __Pyx_PyMODINIT_FUNC initPyClical(
void) CYTHON_SMALL_CODE;
19758 __Pyx_PyMODINIT_FUNC initPyClical(
void)
19760 __Pyx_PyMODINIT_FUNC PyInit_PyClical(
void) CYTHON_SMALL_CODE;
19761 __Pyx_PyMODINIT_FUNC PyInit_PyClical(
void)
19762 #if CYTHON_PEP489_MULTI_PHASE_INIT 19764 return PyModuleDef_Init(&__pyx_moduledef);
19766 static CYTHON_SMALL_CODE
int __Pyx_check_single_interpreter(
void) {
19767 #if PY_VERSION_HEX >= 0x030700A1 19768 static PY_INT64_T main_interpreter_id = -1;
19769 PY_INT64_T current_id = PyInterpreterState_GetID(PyThreadState_Get()->interp);
19770 if (main_interpreter_id == -1) {
19771 main_interpreter_id = current_id;
19772 return (unlikely(current_id == -1)) ? -1 : 0;
19773 }
else if (unlikely(main_interpreter_id != current_id))
19775 static PyInterpreterState *main_interpreter = NULL;
19776 PyInterpreterState *current_interpreter = PyThreadState_Get()->interp;
19777 if (!main_interpreter) {
19778 main_interpreter = current_interpreter;
19779 }
else if (unlikely(main_interpreter != current_interpreter))
19784 "Interpreter change detected - this module can only be loaded into one interpreter per process.");
19789 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) {
19790 PyObject *value = PyObject_GetAttrString(spec, from_name);
19792 if (likely(value)) {
19793 if (allow_none || value != Py_None) {
19794 result = PyDict_SetItemString(moddict, to_name, value);
19797 }
else if (PyErr_ExceptionMatches(PyExc_AttributeError)) {
19804 static CYTHON_SMALL_CODE PyObject* __pyx_pymod_create(PyObject *spec, CYTHON_UNUSED PyModuleDef *def) {
19805 PyObject *module = NULL, *moddict, *modname;
19806 if (__Pyx_check_single_interpreter())
19809 return __Pyx_NewRef(__pyx_m);
19810 modname = PyObject_GetAttrString(spec,
"name");
19811 if (unlikely(!modname))
goto bad;
19812 module = PyModule_NewObject(modname);
19813 Py_DECREF(modname);
19814 if (unlikely(!module))
goto bad;
19815 moddict = PyModule_GetDict(module);
19816 if (unlikely(!moddict))
goto bad;
19817 if (unlikely(__Pyx_copy_spec_to_module(spec, moddict,
"loader",
"__loader__", 1) < 0))
goto bad;
19818 if (unlikely(__Pyx_copy_spec_to_module(spec, moddict,
"origin",
"__file__", 1) < 0))
goto bad;
19819 if (unlikely(__Pyx_copy_spec_to_module(spec, moddict,
"parent",
"__package__", 1) < 0))
goto bad;
19820 if (unlikely(__Pyx_copy_spec_to_module(spec, moddict,
"submodule_search_locations",
"__path__", 0) < 0))
goto bad;
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19828 static CYTHON_SMALL_CODE
int __pyx_pymod_exec_PyClical(PyObject *__pyx_pyinit_module)
19832 PyObject *__pyx_t_1 = NULL;
19833 PyObject *__pyx_t_2 = NULL;
19834 PyObject *__pyx_t_3 = NULL;
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19837 #if CYTHON_PEP489_MULTI_PHASE_INIT 19839 if (__pyx_m == __pyx_pyinit_module)
return 0;
19840 PyErr_SetString(PyExc_RuntimeError,
"Module 'PyClical' has already been imported. Re-initialisation is not supported.");
19843 #elif PY_MAJOR_VERSION >= 3 19844 if (__pyx_m)
return __Pyx_NewRef(__pyx_m);
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19852 Py_FatalError(
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19857 #ifdef __Pxy_PyFrame_Initialize_Offsets 19858 __Pxy_PyFrame_Initialize_Offsets();
19860 __pyx_empty_tuple = PyTuple_New(0);
if (unlikely(!__pyx_empty_tuple)) __PYX_ERR(0, 1, __pyx_L1_error)
19861 __pyx_empty_bytes = PyBytes_FromStringAndSize(
"", 0);
if (unlikely(!__pyx_empty_bytes)) __PYX_ERR(0, 1, __pyx_L1_error)
19862 __pyx_empty_unicode = PyUnicode_FromStringAndSize(
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if (unlikely(!__pyx_empty_unicode)) __PYX_ERR(0, 1, __pyx_L1_error)
19863 #ifdef __Pyx_CyFunction_USED 19864 if (__pyx_CyFunction_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
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19869 #ifdef __Pyx_Coroutine_USED 19870 if (__pyx_Coroutine_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
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19889 #if CYTHON_PEP489_MULTI_PHASE_INIT 19890 __pyx_m = __pyx_pyinit_module;
19891 Py_INCREF(__pyx_m);
19893 #if PY_MAJOR_VERSION < 3 19894 __pyx_m = Py_InitModule4(
"PyClical", __pyx_methods, 0, 0, PYTHON_API_VERSION); Py_XINCREF(__pyx_m);
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19898 if (unlikely(!__pyx_m)) __PYX_ERR(0, 1, __pyx_L1_error)
19900 __pyx_d = PyModule_GetDict(__pyx_m);
if (unlikely(!__pyx_d)) __PYX_ERR(0, 1, __pyx_L1_error)
19901 Py_INCREF(__pyx_d);
19902 __pyx_b = PyImport_AddModule(__Pyx_BUILTIN_MODULE_NAME);
if (unlikely(!__pyx_b)) __PYX_ERR(0, 1, __pyx_L1_error)
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19904 __pyx_cython_runtime = PyImport_AddModule((
char *)
"cython_runtime");
if (unlikely(!__pyx_cython_runtime)) __PYX_ERR(0, 1, __pyx_L1_error)
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19906 if (PyObject_SetAttrString(__pyx_m,
"__builtins__", __pyx_b) < 0) __PYX_ERR(0, 1, __pyx_L1_error);
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"PyClical")) {
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"PyClical", __pyx_m) < 0)) __PYX_ERR(0, 1, __pyx_L1_error)
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goto __pyx_L1_error;
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goto __pyx_L1_error;
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19929 (void)__Pyx_modinit_variable_export_code();
19930 (void)__Pyx_modinit_function_export_code();
19931 if (unlikely(__Pyx_modinit_type_init_code() != 0))
goto __pyx_L1_error;
19932 (void)__Pyx_modinit_type_import_code();
19933 (void)__Pyx_modinit_variable_import_code();
19934 (void)__Pyx_modinit_function_import_code();
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19971 __pyx_t_1 = __Pyx_Import(__pyx_n_s_collections, 0, -1);
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19972 __Pyx_GOTREF(__pyx_t_1);
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20004 __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_8PyClical_9clifford_hidden_doctests, NULL, __pyx_n_s_PyClical);
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20016 __pyx_t_1 = __Pyx_PyObject_Call(((PyObject *)__pyx_ptype_8PyClical_clifford), __pyx_tuple__15, NULL);
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obj);
20341 if (likely(tp->tp_getattro))
20342 return tp->tp_getattro(
obj, attr_name);
20343 #if PY_MAJOR_VERSION < 3 20344 if (likely(tp->tp_getattr))
20345 return tp->tp_getattr(
obj, PyString_AS_STRING(attr_name));
20347 return PyObject_GetAttr(
obj, attr_name);
20352 static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
20353 PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
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20355 PyErr_Format(PyExc_NameError,
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20369 PyCFunction meth = PyCFunction_GET_FUNCTION(func);
20370 PyObject *
self = PyCFunction_GET_SELF(func);
20371 int flags = PyCFunction_GET_FLAGS(func);
20372 assert(PyCFunction_Check(func));
20373 assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
20374 assert(nargs >= 0);
20375 assert(nargs == 0 || args != NULL);
20379 assert(!PyErr_Occurred());
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20381 return (*((__Pyx_PyCFunctionFastWithKeywords)(
void*)meth)) (
self, args, nargs, NULL);
20383 return (*((__Pyx_PyCFunctionFast)(
void*)meth)) (
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20394 PyObject **fastlocals;
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i = 0;
i < na;
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20421 PyObject *globals = PyFunction_GET_GLOBALS(func);
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char*)
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i], &k[
i+1])) {
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int)nd, kwdefs, closure);
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int)nd, closure);
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char*)
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self, *result;
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char*)
" while calling a Python object")))
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self, arg);
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void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
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void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
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int clineno,
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int lineno, CYTHON_UNUSED
const char *filename,
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int nogil) {
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20649 PyGILState_Release(state);
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obj)->tp_dictoffset;
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char *)
obj + offset) : _PyObject_GetDictPtr(
obj);
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obj);
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int __Pyx_object_dict_version_matches(PyObject*
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obj)->tp_dict;
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obj);
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20694 return __Pyx_PyObject_CallMethO(func, NULL);
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20703 const char* func_name,
20706 PyErr_Format(PyExc_TypeError,
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if PY_MAJOR_VERSION >= 3
20708 "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
20710 "%s() got multiple values for keyword argument '%s'", func_name,
20711 PyString_AsString(kw_name));
20716 static int __Pyx_ParseOptionalKeywords(
20718 PyObject **argnames[],
20720 PyObject *values[],
20721 Py_ssize_t num_pos_args,
20722 const char* function_name)
20724 PyObject *key = 0, *value = 0;
20725 Py_ssize_t pos = 0;
20727 PyObject*** first_kw_arg = argnames + num_pos_args;
20728 while (PyDict_Next(kwds, &pos, &key, &value)) {
20729 name = first_kw_arg;
20730 while (*name && (**name != key)) name++;
20732 values[name-argnames] = value;
20735 name = first_kw_arg;
20736 #if PY_MAJOR_VERSION < 3 20737 if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) {
20739 if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
20740 && _PyString_Eq(**name, key)) {
20741 values[name-argnames] = value;
20746 if (*name)
continue;
20748 PyObject*** argname = argnames;
20749 while (argname != first_kw_arg) {
20750 if ((**argname == key) || (
20751 (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
20752 && _PyString_Eq(**argname, key))) {
20753 goto arg_passed_twice;
20760 if (likely(PyUnicode_Check(key))) {
20762 int cmp = (**name == key) ? 0 :
20763 #
if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
20764 (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
20766 PyUnicode_Compare(**name, key);
20767 if (cmp < 0 && unlikely(PyErr_Occurred()))
goto bad;
20769 values[name-argnames] = value;
20774 if (*name)
continue;
20776 PyObject*** argname = argnames;
20777 while (argname != first_kw_arg) {
20778 int cmp = (**argname == key) ? 0 :
20779 #
if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
20780 (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
20782 PyUnicode_Compare(**argname, key);
20783 if (cmp < 0 && unlikely(PyErr_Occurred()))
goto bad;
20784 if (cmp == 0)
goto arg_passed_twice;
20789 goto invalid_keyword_type;
20791 if (unlikely(PyDict_SetItem(kwds2, key, value)))
goto bad;
20793 goto invalid_keyword;
20798 __Pyx_RaiseDoubleKeywordsError(function_name, key);
20800 invalid_keyword_type:
20801 PyErr_Format(PyExc_TypeError,
20802 "%.200s() keywords must be strings", function_name);
20805 PyErr_Format(PyExc_TypeError,
20806 #
if PY_MAJOR_VERSION < 3
20807 "%.200s() got an unexpected keyword argument '%.200s'",
20808 function_name, PyString_AsString(key));
20810 "%s() got an unexpected keyword argument '%U'",
20811 function_name, key);
20818 static void __Pyx_RaiseArgtupleInvalid(
20819 const char* func_name,
20821 Py_ssize_t num_min,
20822 Py_ssize_t num_max,
20823 Py_ssize_t num_found)
20825 Py_ssize_t num_expected;
20826 const char *more_or_less;
20827 if (num_found < num_min) {
20828 num_expected = num_min;
20829 more_or_less =
"at least";
20831 num_expected = num_max;
20832 more_or_less =
"at most";
20835 more_or_less =
"exactly";
20837 PyErr_Format(PyExc_TypeError,
20838 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T
"d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T
"d given)",
20839 func_name, more_or_less, num_expected,
20840 (num_expected == 1) ?
"" :
"s", num_found);
20844 #if CYTHON_USE_DICT_VERSIONS 20845 static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
20847 static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
20851 #if !CYTHON_AVOID_BORROWED_REFS 20852 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 20853 result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
20854 __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
20855 if (likely(result)) {
20856 return __Pyx_NewRef(result);
20857 }
else if (unlikely(PyErr_Occurred())) {
20861 result = PyDict_GetItem(__pyx_d, name);
20862 __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
20863 if (likely(result)) {
20864 return __Pyx_NewRef(result);
20868 result = PyObject_GetItem(__pyx_d, name);
20869 __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
20870 if (likely(result)) {
20871 return __Pyx_NewRef(result);
20875 return __Pyx_GetBuiltinName(name);
20879 #if CYTHON_USE_EXC_INFO_STACK 20880 static _PyErr_StackItem *
20881 __Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
20883 _PyErr_StackItem *exc_info = tstate->exc_info;
20884 while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
20885 exc_info->previous_item != NULL)
20887 exc_info = exc_info->previous_item;
20894 #if CYTHON_FAST_THREAD_STATE 20895 static CYTHON_INLINE
void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
20896 #if CYTHON_USE_EXC_INFO_STACK 20897 _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
20898 *type = exc_info->exc_type;
20899 *value = exc_info->exc_value;
20900 *tb = exc_info->exc_traceback;
20902 *type = tstate->exc_type;
20903 *value = tstate->exc_value;
20904 *tb = tstate->exc_traceback;
20907 Py_XINCREF(*value);
20910 static CYTHON_INLINE
void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
20911 PyObject *tmp_type, *tmp_value, *tmp_tb;
20912 #if CYTHON_USE_EXC_INFO_STACK 20913 _PyErr_StackItem *exc_info = tstate->exc_info;
20914 tmp_type = exc_info->exc_type;
20915 tmp_value = exc_info->exc_value;
20916 tmp_tb = exc_info->exc_traceback;
20917 exc_info->exc_type = type;
20918 exc_info->exc_value = value;
20919 exc_info->exc_traceback = tb;
20921 tmp_type = tstate->exc_type;
20922 tmp_value = tstate->exc_value;
20923 tmp_tb = tstate->exc_traceback;
20924 tstate->exc_type = type;
20925 tstate->exc_value = value;
20926 tstate->exc_traceback = tb;
20928 Py_XDECREF(tmp_type);
20929 Py_XDECREF(tmp_value);
20930 Py_XDECREF(tmp_tb);
20935 #if CYTHON_FAST_THREAD_STATE 20936 static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
20938 n = PyTuple_GET_SIZE(tuple);
20939 #if PY_MAJOR_VERSION >= 3 20940 for (
i=0;
i<n;
i++) {
20941 if (exc_type == PyTuple_GET_ITEM(tuple,
i))
return 1;
20944 for (
i=0;
i<n;
i++) {
20945 if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple,
i)))
return 1;
20949 static CYTHON_INLINE
int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
20950 PyObject *exc_type = tstate->curexc_type;
20951 if (exc_type == err)
return 1;
20952 if (unlikely(!exc_type))
return 0;
20953 if (unlikely(PyTuple_Check(err)))
20954 return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
20955 return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
20960 #if CYTHON_FAST_THREAD_STATE 20961 static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
20963 static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
20966 PyObject *local_type, *local_value, *local_tb;
20967 #if CYTHON_FAST_THREAD_STATE 20968 PyObject *tmp_type, *tmp_value, *tmp_tb;
20969 local_type = tstate->curexc_type;
20970 local_value = tstate->curexc_value;
20971 local_tb = tstate->curexc_traceback;
20972 tstate->curexc_type = 0;
20973 tstate->curexc_value = 0;
20974 tstate->curexc_traceback = 0;
20976 PyErr_Fetch(&local_type, &local_value, &local_tb);
20978 PyErr_NormalizeException(&local_type, &local_value, &local_tb);
20979 #if CYTHON_FAST_THREAD_STATE 20980 if (unlikely(tstate->curexc_type))
20982 if (unlikely(PyErr_Occurred()))
20985 #if PY_MAJOR_VERSION >= 3 20987 if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
20991 Py_XINCREF(local_tb);
20992 Py_XINCREF(local_type);
20993 Py_XINCREF(local_value);
20994 *type = local_type;
20995 *value = local_value;
20997 #if CYTHON_FAST_THREAD_STATE 20998 #if CYTHON_USE_EXC_INFO_STACK 21000 _PyErr_StackItem *exc_info = tstate->exc_info;
21001 tmp_type = exc_info->exc_type;
21002 tmp_value = exc_info->exc_value;
21003 tmp_tb = exc_info->exc_traceback;
21004 exc_info->exc_type = local_type;
21005 exc_info->exc_value = local_value;
21006 exc_info->exc_traceback = local_tb;
21009 tmp_type = tstate->exc_type;
21010 tmp_value = tstate->exc_value;
21011 tmp_tb = tstate->exc_traceback;
21012 tstate->exc_type = local_type;
21013 tstate->exc_value = local_value;
21014 tstate->exc_traceback = local_tb;
21016 Py_XDECREF(tmp_type);
21017 Py_XDECREF(tmp_value);
21018 Py_XDECREF(tmp_tb);
21020 PyErr_SetExcInfo(local_type, local_value, local_tb);
21027 Py_XDECREF(local_type);
21028 Py_XDECREF(local_value);
21029 Py_XDECREF(local_tb);
21034 #if PY_MAJOR_VERSION < 3 21035 static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
21036 CYTHON_UNUSED PyObject *cause) {
21037 __Pyx_PyThreadState_declare
21039 if (!value || value == Py_None)
21043 if (!tb || tb == Py_None)
21047 if (!PyTraceBack_Check(tb)) {
21048 PyErr_SetString(PyExc_TypeError,
21049 "raise: arg 3 must be a traceback or None");
21053 if (PyType_Check(type)) {
21054 #if CYTHON_COMPILING_IN_PYPY 21056 Py_INCREF(Py_None);
21060 PyErr_NormalizeException(&type, &value, &tb);
21063 PyErr_SetString(PyExc_TypeError,
21064 "instance exception may not have a separate value");
21068 type = (PyObject*) Py_TYPE(type);
21070 if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
21071 PyErr_SetString(PyExc_TypeError,
21072 "raise: exception class must be a subclass of BaseException");
21076 __Pyx_PyThreadState_assign
21077 __Pyx_ErrRestore(type, value, tb);
21086 static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
21087 PyObject* owned_instance = NULL;
21088 if (tb == Py_None) {
21090 }
else if (tb && !PyTraceBack_Check(tb)) {
21091 PyErr_SetString(PyExc_TypeError,
21092 "raise: arg 3 must be a traceback or None");
21095 if (value == Py_None)
21097 if (PyExceptionInstance_Check(type)) {
21099 PyErr_SetString(PyExc_TypeError,
21100 "instance exception may not have a separate value");
21104 type = (PyObject*) Py_TYPE(value);
21105 }
else if (PyExceptionClass_Check(type)) {
21106 PyObject *instance_class = NULL;
21107 if (value && PyExceptionInstance_Check(value)) {
21108 instance_class = (PyObject*) Py_TYPE(value);
21109 if (instance_class != type) {
21110 int is_subclass = PyObject_IsSubclass(instance_class, type);
21111 if (!is_subclass) {
21112 instance_class = NULL;
21113 }
else if (unlikely(is_subclass == -1)) {
21116 type = instance_class;
21120 if (!instance_class) {
21123 args = PyTuple_New(0);
21124 else if (PyTuple_Check(value)) {
21128 args = PyTuple_Pack(1, value);
21131 owned_instance = PyObject_Call(type, args, NULL);
21133 if (!owned_instance)
21135 value = owned_instance;
21136 if (!PyExceptionInstance_Check(value)) {
21137 PyErr_Format(PyExc_TypeError,
21138 "calling %R should have returned an instance of " 21139 "BaseException, not %R",
21140 type, Py_TYPE(value));
21145 PyErr_SetString(PyExc_TypeError,
21146 "raise: exception class must be a subclass of BaseException");
21150 PyObject *fixed_cause;
21151 if (cause == Py_None) {
21152 fixed_cause = NULL;
21153 }
else if (PyExceptionClass_Check(cause)) {
21154 fixed_cause = PyObject_CallObject(cause, NULL);
21155 if (fixed_cause == NULL)
21157 }
else if (PyExceptionInstance_Check(cause)) {
21158 fixed_cause = cause;
21159 Py_INCREF(fixed_cause);
21161 PyErr_SetString(PyExc_TypeError,
21162 "exception causes must derive from " 21166 PyException_SetCause(value, fixed_cause);
21168 PyErr_SetObject(type, value);
21170 #if CYTHON_COMPILING_IN_PYPY 21171 PyObject *tmp_type, *tmp_value, *tmp_tb;
21172 PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
21174 PyErr_Restore(tmp_type, tmp_value, tb);
21175 Py_XDECREF(tmp_tb);
21177 PyThreadState *tstate = __Pyx_PyThreadState_Current;
21178 PyObject* tmp_tb = tstate->curexc_traceback;
21179 if (tb != tmp_tb) {
21181 tstate->curexc_traceback = tb;
21182 Py_XDECREF(tmp_tb);
21187 Py_XDECREF(owned_instance);
21193 #if !CYTHON_COMPILING_IN_PYPY 21194 static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED
long intval,
int inplace,
int zerodivision_check) {
21196 (void)zerodivision_check;
21197 #if PY_MAJOR_VERSION < 3 21198 if (likely(PyInt_CheckExact(op1))) {
21199 const long b = intval;
21201 long a = PyInt_AS_LONG(op1);
21202 x = (long)((
unsigned long)a + b);
21203 if (likely((x^a) >= 0 || (x^b) >= 0))
21204 return PyInt_FromLong(x);
21205 return PyLong_Type.tp_as_number->nb_add(op1, op2);
21208 #if CYTHON_USE_PYLONG_INTERNALS 21209 if (likely(PyLong_CheckExact(op1))) {
21210 const long b = intval;
21212 #ifdef HAVE_LONG_LONG 21213 const PY_LONG_LONG llb = intval;
21214 PY_LONG_LONG lla, llx;
21216 const digit* digits = ((PyLongObject*)op1)->ob_digit;
21217 const Py_ssize_t size = Py_SIZE(op1);
21218 if (likely(__Pyx_sst_abs(size) <= 1)) {
21219 a = likely(size) ? digits[0] : 0;
21220 if (size == -1) a = -a;
21224 if (8 *
sizeof(
long) - 1 > 2 * PyLong_SHIFT) {
21225 a = -(long) (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21227 #ifdef HAVE_LONG_LONG 21228 }
else if (8 *
sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
21229 lla = -(PY_LONG_LONG) (((((
unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[0]));
21233 CYTHON_FALLTHROUGH;
21235 if (8 *
sizeof(
long) - 1 > 2 * PyLong_SHIFT) {
21236 a = (long) (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21238 #ifdef HAVE_LONG_LONG 21239 }
else if (8 *
sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
21240 lla = (PY_LONG_LONG) (((((
unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (
unsigned PY_LONG_LONG)digits[0]));
21244 CYTHON_FALLTHROUGH;
21246 if (8 *
sizeof(
long) - 1 > 3 * PyLong_SHIFT) {
21247 a = -(long) (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21249 #ifdef HAVE_LONG_LONG 21250 }
else if (8 *
sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
21251 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]));
21255 CYTHON_FALLTHROUGH;
21257 if (8 *
sizeof(
long) - 1 > 3 * PyLong_SHIFT) {
21258 a = (long) (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21260 #ifdef HAVE_LONG_LONG 21261 }
else if (8 *
sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
21262 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]));
21266 CYTHON_FALLTHROUGH;
21268 if (8 *
sizeof(
long) - 1 > 4 * PyLong_SHIFT) {
21269 a = -(long) (((((((((
unsigned long)digits[3]) << PyLong_SHIFT) | (
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21271 #ifdef HAVE_LONG_LONG 21272 }
else if (8 *
sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
21273 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]));
21277 CYTHON_FALLTHROUGH;
21279 if (8 *
sizeof(
long) - 1 > 4 * PyLong_SHIFT) {
21280 a = (long) (((((((((
unsigned long)digits[3]) << PyLong_SHIFT) | (
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21282 #ifdef HAVE_LONG_LONG 21283 }
else if (8 *
sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
21284 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]));
21288 CYTHON_FALLTHROUGH;
21289 default:
return PyLong_Type.tp_as_number->nb_add(op1, op2);
21293 return PyLong_FromLong(x);
21294 #ifdef HAVE_LONG_LONG 21297 return PyLong_FromLongLong(llx);
21303 if (PyFloat_CheckExact(op1)) {
21304 const long b = intval;
21305 double a = PyFloat_AS_DOUBLE(op1);
21307 PyFPE_START_PROTECT(
"add",
return NULL)
21308 result = ((double)a) + (double)b;
21309 PyFPE_END_PROTECT(result)
21312 return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
21317 static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
21320 r = PyObject_SetItem(o, j, v);
21324 static CYTHON_INLINE
int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t
i, PyObject *v,
int is_list,
21325 CYTHON_NCP_UNUSED
int wraparound, CYTHON_NCP_UNUSED
int boundscheck) {
21326 #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS 21327 if (is_list || PyList_CheckExact(o)) {
21328 Py_ssize_t n = (!wraparound) ?
i : ((likely(
i >= 0)) ?
i :
i + PyList_GET_SIZE(o));
21329 if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
21330 PyObject* old = PyList_GET_ITEM(o, n);
21332 PyList_SET_ITEM(o, n, v);
21337 PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
21338 if (likely(m && m->sq_ass_item)) {
21339 if (wraparound && unlikely(
i < 0) && likely(m->sq_length)) {
21340 Py_ssize_t l = m->sq_length(o);
21341 if (likely(l >= 0)) {
21344 if (!PyErr_ExceptionMatches(PyExc_OverflowError))
21349 return m->sq_ass_item(o,
i, v);
21353 #if CYTHON_COMPILING_IN_PYPY 21354 if (is_list || (PySequence_Check(o) && !PyDict_Check(o)))
21356 if (is_list || PySequence_Check(o))
21359 return PySequence_SetItem(o,
i, v);
21362 return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(
i), v);
21366 static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject*
function, PyObject* arg1, PyObject* arg2) {
21367 PyObject *args, *result = NULL;
21368 #if CYTHON_FAST_PYCALL 21369 if (PyFunction_Check(
function)) {
21370 PyObject *args[2] = {arg1, arg2};
21371 return __Pyx_PyFunction_FastCall(
function, args, 2);
21374 #if CYTHON_FAST_PYCCALL 21375 if (__Pyx_PyFastCFunction_Check(
function)) {
21376 PyObject *args[2] = {arg1, arg2};
21377 return __Pyx_PyCFunction_FastCall(
function, args, 2);
21380 args = PyTuple_New(2);
21381 if (unlikely(!args))
goto done;
21383 PyTuple_SET_ITEM(args, 0, arg1);
21385 PyTuple_SET_ITEM(args, 1, arg2);
21386 Py_INCREF(
function);
21387 result = __Pyx_PyObject_Call(
function, args, NULL);
21389 Py_DECREF(
function);
21395 static int __Pyx__ArgTypeTest(PyObject *
obj, PyTypeObject *type,
const char *name,
int exact)
21397 if (unlikely(!type)) {
21398 PyErr_SetString(PyExc_SystemError,
"Missing type object");
21402 #if PY_MAJOR_VERSION == 2 21403 if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(
obj)))
return 1;
21407 if (likely(__Pyx_TypeCheck(
obj, type)))
return 1;
21409 PyErr_Format(PyExc_TypeError,
21410 "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
21411 name, type->tp_name, Py_TYPE(
obj)->tp_name);
21416 static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list,
int level) {
21417 PyObject *empty_list = 0;
21418 PyObject *module = 0;
21419 PyObject *global_dict = 0;
21420 PyObject *empty_dict = 0;
21422 #if PY_MAJOR_VERSION < 3 21423 PyObject *py_import;
21424 py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
21431 empty_list = PyList_New(0);
21436 global_dict = PyModule_GetDict(__pyx_m);
21439 empty_dict = PyDict_New();
21443 #if PY_MAJOR_VERSION >= 3 21445 if (strchr(__Pyx_MODULE_NAME,
'.')) {
21446 module = PyImport_ImportModuleLevelObject(
21447 name, global_dict, empty_dict, list, 1);
21449 if (!PyErr_ExceptionMatches(PyExc_ImportError))
21458 #if PY_MAJOR_VERSION < 3 21459 PyObject *py_level = PyInt_FromLong(level);
21462 module = PyObject_CallFunctionObjArgs(py_import,
21463 name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
21464 Py_DECREF(py_level);
21466 module = PyImport_ImportModuleLevelObject(
21467 name, global_dict, empty_dict, list, level);
21472 #if PY_MAJOR_VERSION < 3 21473 Py_XDECREF(py_import);
21475 Py_XDECREF(empty_list);
21476 Py_XDECREF(empty_dict);
21481 #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000 21482 static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
21483 PyErr_Format(PyExc_AttributeError,
21484 #
if PY_MAJOR_VERSION >= 3
21485 "'%.50s' object has no attribute '%U'",
21486 tp->tp_name, attr_name);
21488 "'%.50s' object has no attribute '%.400s'",
21489 tp->tp_name, PyString_AS_STRING(attr_name));
21493 static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject*
obj, PyObject* attr_name) {
21495 PyTypeObject *tp = Py_TYPE(
obj);
21496 if (unlikely(!PyString_Check(attr_name))) {
21497 return PyObject_GenericGetAttr(
obj, attr_name);
21499 assert(!tp->tp_dictoffset);
21500 descr = _PyType_Lookup(tp, attr_name);
21501 if (unlikely(!descr)) {
21502 return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
21505 #if PY_MAJOR_VERSION < 3 21506 if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
21509 descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
21511 PyObject *res = f(descr,
obj, (PyObject *)tp);
21521 #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000 21522 static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject*
obj, PyObject* attr_name) {
21523 if (unlikely(Py_TYPE(
obj)->tp_dictoffset)) {
21524 return PyObject_GenericGetAttr(
obj, attr_name);
21526 return __Pyx_PyObject_GenericGetAttrNoDict(
obj, attr_name);
21531 static int __Pyx_SetVtable(PyObject *dict,
void *vtable) {
21532 #if PY_VERSION_HEX >= 0x02070000 21533 PyObject *ob = PyCapsule_New(vtable, 0, 0);
21535 PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
21539 if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
21549 static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
21551 PyObject *name_attr;
21552 name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name);
21553 if (likely(name_attr)) {
21554 ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
21558 if (unlikely(ret < 0)) {
21562 Py_XDECREF(name_attr);
21565 static int __Pyx_setup_reduce(PyObject* type_obj) {
21567 PyObject *object_reduce = NULL;
21568 PyObject *object_reduce_ex = NULL;
21569 PyObject *reduce = NULL;
21570 PyObject *reduce_ex = NULL;
21571 PyObject *reduce_cython = NULL;
21572 PyObject *setstate = NULL;
21573 PyObject *setstate_cython = NULL;
21574 #if CYTHON_USE_PYTYPE_LOOKUP 21575 if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate))
goto GOOD;
21577 if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate))
goto GOOD;
21579 #if CYTHON_USE_PYTYPE_LOOKUP 21580 object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex);
if (!object_reduce_ex)
goto BAD;
21582 object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex);
if (!object_reduce_ex)
goto BAD;
21584 reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex);
if (unlikely(!reduce_ex))
goto BAD;
21585 if (reduce_ex == object_reduce_ex) {
21586 #if CYTHON_USE_PYTYPE_LOOKUP 21587 object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce);
if (!object_reduce)
goto BAD;
21589 object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce);
if (!object_reduce)
goto BAD;
21591 reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce);
if (unlikely(!reduce))
goto BAD;
21592 if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
21593 reduce_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_cython);
if (unlikely(!reduce_cython))
goto BAD;
21594 ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython);
if (unlikely(ret < 0))
goto BAD;
21595 ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython);
if (unlikely(ret < 0))
goto BAD;
21596 setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
21597 if (!setstate) PyErr_Clear();
21598 if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
21599 setstate_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate_cython);
if (unlikely(!setstate_cython))
goto BAD;
21600 ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython);
if (unlikely(ret < 0))
goto BAD;
21601 ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython);
if (unlikely(ret < 0))
goto BAD;
21603 PyType_Modified((PyTypeObject*)type_obj);
21608 if (!PyErr_Occurred())
21609 PyErr_Format(PyExc_RuntimeError,
"Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
21612 #if !CYTHON_USE_PYTYPE_LOOKUP 21613 Py_XDECREF(object_reduce);
21614 Py_XDECREF(object_reduce_ex);
21616 Py_XDECREF(reduce);
21617 Py_XDECREF(reduce_ex);
21618 Py_XDECREF(reduce_cython);
21619 Py_XDECREF(setstate);
21620 Py_XDECREF(setstate_cython);
21625 #if !CYTHON_COMPILING_IN_PYPY 21626 static PyObject* __Pyx_PyFloat_DivideObjC(PyObject *op1, PyObject *op2,
double floatval,
int inplace,
int zerodivision_check) {
21627 const double b = floatval;
21630 (void)zerodivision_check;
21631 if (likely(PyFloat_CheckExact(op1))) {
21632 a = PyFloat_AS_DOUBLE(op1);
21635 #if PY_MAJOR_VERSION < 3 21636 if (likely(PyInt_CheckExact(op1))) {
21637 a = (double) PyInt_AS_LONG(op1);
21641 if (likely(PyLong_CheckExact(op1))) {
21642 #if CYTHON_USE_PYLONG_INTERNALS 21643 const digit* digits = ((PyLongObject*)op1)->ob_digit;
21644 const Py_ssize_t size = Py_SIZE(op1);
21646 case 0: a = 0.0;
break;
21647 case -1: a = -(double) digits[0];
break;
21648 case 1: a = (double) digits[0];
break;
21651 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT && ((8 *
sizeof(
unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
21652 a = (double) (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21653 if ((8 *
sizeof(
unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
21659 CYTHON_FALLTHROUGH;
21662 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT && ((8 *
sizeof(
unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
21663 a = (double) (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21664 if ((8 *
sizeof(
unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
21670 CYTHON_FALLTHROUGH;
21673 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT && ((8 *
sizeof(
unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
21674 a = (double) (((((((((
unsigned long)digits[3]) << PyLong_SHIFT) | (
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0]));
21675 if ((8 *
sizeof(
unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
21681 CYTHON_FALLTHROUGH;
21686 a = PyLong_AsDouble(op1);
21687 if (unlikely(a == -1.0 && PyErr_Occurred()))
return NULL;
21691 return (inplace ? __Pyx_PyNumber_InPlaceDivide(op1, op2) : __Pyx_PyNumber_Divide(op1, op2));
21694 PyFPE_START_PROTECT(
"divide",
return NULL)
21696 PyFPE_END_PROTECT(result)
21702 static CYTHON_INLINE
int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2,
int equals) {
21703 #if CYTHON_COMPILING_IN_PYPY 21704 return PyObject_RichCompareBool(s1, s2, equals);
21707 return (equals == Py_EQ);
21708 }
else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
21709 const char *ps1, *ps2;
21710 Py_ssize_t length = PyBytes_GET_SIZE(s1);
21711 if (length != PyBytes_GET_SIZE(s2))
21712 return (equals == Py_NE);
21713 ps1 = PyBytes_AS_STRING(s1);
21714 ps2 = PyBytes_AS_STRING(s2);
21715 if (ps1[0] != ps2[0]) {
21716 return (equals == Py_NE);
21717 }
else if (length == 1) {
21718 return (equals == Py_EQ);
21721 #if CYTHON_USE_UNICODE_INTERNALS 21722 Py_hash_t hash1, hash2;
21723 hash1 = ((PyBytesObject*)s1)->ob_shash;
21724 hash2 = ((PyBytesObject*)s2)->ob_shash;
21725 if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
21726 return (equals == Py_NE);
21729 result = memcmp(ps1, ps2, (
size_t)length);
21730 return (equals == Py_EQ) ? (result == 0) : (result != 0);
21732 }
else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
21733 return (equals == Py_NE);
21734 }
else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
21735 return (equals == Py_NE);
21738 PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
21741 result = __Pyx_PyObject_IsTrue(py_result);
21742 Py_DECREF(py_result);
21749 static CYTHON_INLINE
int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2,
int equals) {
21750 #if CYTHON_COMPILING_IN_PYPY 21751 return PyObject_RichCompareBool(s1, s2, equals);
21753 #if PY_MAJOR_VERSION < 3 21754 PyObject* owned_ref = NULL;
21756 int s1_is_unicode, s2_is_unicode;
21760 s1_is_unicode = PyUnicode_CheckExact(s1);
21761 s2_is_unicode = PyUnicode_CheckExact(s2);
21762 #if PY_MAJOR_VERSION < 3 21763 if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
21764 owned_ref = PyUnicode_FromObject(s2);
21765 if (unlikely(!owned_ref))
21769 }
else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
21770 owned_ref = PyUnicode_FromObject(s1);
21771 if (unlikely(!owned_ref))
21775 }
else if (((!s2_is_unicode) & (!s1_is_unicode))) {
21776 return __Pyx_PyBytes_Equals(s1, s2, equals);
21779 if (s1_is_unicode & s2_is_unicode) {
21782 void *data1, *data2;
21783 if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
21785 length = __Pyx_PyUnicode_GET_LENGTH(s1);
21786 if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
21789 #if CYTHON_USE_UNICODE_INTERNALS 21791 Py_hash_t hash1, hash2;
21792 #if CYTHON_PEP393_ENABLED 21793 hash1 = ((PyASCIIObject*)s1)->hash;
21794 hash2 = ((PyASCIIObject*)s2)->hash;
21796 hash1 = ((PyUnicodeObject*)s1)->hash;
21797 hash2 = ((PyUnicodeObject*)s2)->hash;
21799 if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
21804 kind = __Pyx_PyUnicode_KIND(s1);
21805 if (kind != __Pyx_PyUnicode_KIND(s2)) {
21808 data1 = __Pyx_PyUnicode_DATA(s1);
21809 data2 = __Pyx_PyUnicode_DATA(s2);
21810 if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
21812 }
else if (length == 1) {
21815 int result = memcmp(data1, data2, (
size_t)(length * kind));
21816 #if PY_MAJOR_VERSION < 3 21817 Py_XDECREF(owned_ref);
21819 return (equals == Py_EQ) ? (result == 0) : (result != 0);
21821 }
else if ((s1 == Py_None) & s2_is_unicode) {
21823 }
else if ((s2 == Py_None) & s1_is_unicode) {
21827 PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
21828 #if PY_MAJOR_VERSION < 3 21829 Py_XDECREF(owned_ref);
21833 result = __Pyx_PyObject_IsTrue(py_result);
21834 Py_DECREF(py_result);
21838 #if PY_MAJOR_VERSION < 3 21839 Py_XDECREF(owned_ref);
21841 return (equals == Py_EQ);
21843 #if PY_MAJOR_VERSION < 3 21844 Py_XDECREF(owned_ref);
21846 return (equals == Py_NE);
21851 #ifndef CYTHON_CLINE_IN_TRACEBACK 21852 static int __Pyx_CLineForTraceback(PyThreadState *tstate,
int c_line) {
21853 PyObject *use_cline;
21854 PyObject *ptype, *pvalue, *ptraceback;
21855 #if CYTHON_COMPILING_IN_CPYTHON 21856 PyObject **cython_runtime_dict;
21858 if (unlikely(!__pyx_cython_runtime)) {
21861 __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
21862 #if CYTHON_COMPILING_IN_CPYTHON 21863 cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
21864 if (likely(cython_runtime_dict)) {
21865 __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
21866 use_cline, *cython_runtime_dict,
21867 __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
21871 PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
21872 if (use_cline_obj) {
21873 use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
21874 Py_DECREF(use_cline_obj);
21882 PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
21884 else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
21887 __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
21893 static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries,
int count,
int code_line) {
21894 int start = 0, mid = 0, end = count - 1;
21895 if (end >= 0 && code_line > entries[end].code_line) {
21898 while (start < end) {
21899 mid = start + (end - start) / 2;
21900 if (code_line < entries[mid].code_line) {
21902 }
else if (code_line > entries[mid].code_line) {
21908 if (code_line <= entries[mid].code_line) {
21914 static PyCodeObject *__pyx_find_code_object(
int code_line) {
21915 PyCodeObject* code_object;
21917 if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
21920 pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
21921 if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
21924 code_object = __pyx_code_cache.entries[pos].code_object;
21925 Py_INCREF(code_object);
21926 return code_object;
21928 static void __pyx_insert_code_object(
int code_line, PyCodeObject* code_object) {
21930 __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
21931 if (unlikely(!code_line)) {
21934 if (unlikely(!entries)) {
21935 entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*
sizeof(__Pyx_CodeObjectCacheEntry));
21936 if (likely(entries)) {
21937 __pyx_code_cache.entries = entries;
21938 __pyx_code_cache.max_count = 64;
21939 __pyx_code_cache.count = 1;
21940 entries[0].code_line = code_line;
21941 entries[0].code_object = code_object;
21942 Py_INCREF(code_object);
21946 pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
21947 if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
21948 PyCodeObject* tmp = entries[pos].code_object;
21949 entries[pos].code_object = code_object;
21953 if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
21954 int new_max = __pyx_code_cache.max_count + 64;
21955 entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
21956 __pyx_code_cache.entries, (
size_t)new_max*
sizeof(__Pyx_CodeObjectCacheEntry));
21957 if (unlikely(!entries)) {
21960 __pyx_code_cache.entries = entries;
21961 __pyx_code_cache.max_count = new_max;
21963 for (
i=__pyx_code_cache.count;
i>pos;
i--) {
21964 entries[
i] = entries[
i-1];
21966 entries[pos].code_line = code_line;
21967 entries[pos].code_object = code_object;
21968 __pyx_code_cache.count++;
21969 Py_INCREF(code_object);
21973 #include "compile.h" 21974 #include "frameobject.h" 21975 #include "traceback.h" 21976 static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
21977 const char *funcname,
int c_line,
21978 int py_line,
const char *filename) {
21979 PyCodeObject *py_code = 0;
21980 PyObject *py_srcfile = 0;
21981 PyObject *py_funcname = 0;
21982 #if PY_MAJOR_VERSION < 3 21983 py_srcfile = PyString_FromString(filename);
21985 py_srcfile = PyUnicode_FromString(filename);
21987 if (!py_srcfile)
goto bad;
21989 #if PY_MAJOR_VERSION < 3 21990 py_funcname = PyString_FromFormat(
"%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
21992 py_funcname = PyUnicode_FromFormat(
"%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
21996 #if PY_MAJOR_VERSION < 3 21997 py_funcname = PyString_FromString(funcname);
21999 py_funcname = PyUnicode_FromString(funcname);
22002 if (!py_funcname)
goto bad;
22003 py_code = __Pyx_PyCode_New(
22020 Py_DECREF(py_srcfile);
22021 Py_DECREF(py_funcname);
22024 Py_XDECREF(py_srcfile);
22025 Py_XDECREF(py_funcname);
22028 static void __Pyx_AddTraceback(
const char *funcname,
int c_line,
22029 int py_line,
const char *filename) {
22030 PyCodeObject *py_code = 0;
22031 PyFrameObject *py_frame = 0;
22032 PyThreadState *tstate = __Pyx_PyThreadState_Current;
22034 c_line = __Pyx_CLineForTraceback(tstate, c_line);
22036 py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
22038 py_code = __Pyx_CreateCodeObjectForTraceback(
22039 funcname, c_line, py_line, filename);
22040 if (!py_code)
goto bad;
22041 __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
22043 py_frame = PyFrame_New(
22049 if (!py_frame)
goto bad;
22050 __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
22051 PyTraceBack_Here(py_frame);
22053 Py_XDECREF(py_code);
22054 Py_XDECREF(py_frame);
22058 #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\ 22059 __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0) 22060 #define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\ 22061 __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1) 22062 #define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\ 22064 func_type value = func_value;\ 22065 if (sizeof(target_type) < sizeof(func_type)) {\ 22066 if (unlikely(value != (func_type) (target_type) value)) {\ 22067 func_type zero = 0;\ 22068 if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\ 22069 return (target_type) -1;\ 22070 if (is_unsigned && unlikely(value < zero))\ 22071 goto raise_neg_overflow;\ 22073 goto raise_overflow;\ 22076 return (target_type) value;\ 22080 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(
int value) {
22081 const int neg_one = (int) ((
int) 0 - (int) 1), const_zero = (int) 0;
22082 const int is_unsigned = neg_one > const_zero;
22084 if (
sizeof(
int) <
sizeof(long)) {
22085 return PyInt_FromLong((
long) value);
22086 }
else if (
sizeof(
int) <=
sizeof(
unsigned long)) {
22087 return PyLong_FromUnsignedLong((
unsigned long) value);
22088 #ifdef HAVE_LONG_LONG 22089 }
else if (
sizeof(
int) <=
sizeof(
unsigned PY_LONG_LONG)) {
22090 return PyLong_FromUnsignedLongLong((
unsigned PY_LONG_LONG) value);
22094 if (
sizeof(
int) <=
sizeof(
long)) {
22095 return PyInt_FromLong((
long) value);
22096 #ifdef HAVE_LONG_LONG 22097 }
else if (
sizeof(
int) <=
sizeof(PY_LONG_LONG)) {
22098 return PyLong_FromLongLong((PY_LONG_LONG) value);
22103 int one = 1;
int little = (int)*(
unsigned char *)&one;
22104 unsigned char *bytes = (
unsigned char *)&value;
22105 return _PyLong_FromByteArray(bytes,
sizeof(
int),
22106 little, !is_unsigned);
22111 static CYTHON_INLINE
int __Pyx_PyInt_As_int(PyObject *x) {
22112 const int neg_one = (int) ((
int) 0 - (int) 1), const_zero = (int) 0;
22113 const int is_unsigned = neg_one > const_zero;
22114 #if PY_MAJOR_VERSION < 3 22115 if (likely(PyInt_Check(x))) {
22116 if (
sizeof(
int) <
sizeof(long)) {
22117 __PYX_VERIFY_RETURN_INT(
int,
long, PyInt_AS_LONG(x))
22119 long val = PyInt_AS_LONG(x);
22120 if (is_unsigned && unlikely(val < 0)) {
22121 goto raise_neg_overflow;
22127 if (likely(PyLong_Check(x))) {
22129 #if CYTHON_USE_PYLONG_INTERNALS 22130 const digit* digits = ((PyLongObject*)x)->ob_digit;
22131 switch (Py_SIZE(x)) {
22132 case 0:
return (
int) 0;
22133 case 1: __PYX_VERIFY_RETURN_INT(
int, digit, digits[0])
22135 if (8 *
sizeof(
int) > 1 * PyLong_SHIFT) {
22136 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT) {
22137 __PYX_VERIFY_RETURN_INT(
int,
unsigned long, (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22138 }
else if (8 *
sizeof(
int) >= 2 * PyLong_SHIFT) {
22139 return (
int) (((((int)digits[1]) << PyLong_SHIFT) | (
int)digits[0]));
22144 if (8 *
sizeof(
int) > 2 * PyLong_SHIFT) {
22145 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT) {
22146 __PYX_VERIFY_RETURN_INT(
int,
unsigned long, (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22147 }
else if (8 *
sizeof(
int) >= 3 * PyLong_SHIFT) {
22148 return (
int) (((((((int)digits[2]) << PyLong_SHIFT) | (
int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
22153 if (8 *
sizeof(
int) > 3 * PyLong_SHIFT) {
22154 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT) {
22155 __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])))
22156 }
else if (8 *
sizeof(
int) >= 4 * PyLong_SHIFT) {
22157 return (
int) (((((((((int)digits[3]) << PyLong_SHIFT) | (
int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (
int)digits[0]));
22163 #if CYTHON_COMPILING_IN_CPYTHON 22164 if (unlikely(Py_SIZE(x) < 0)) {
22165 goto raise_neg_overflow;
22169 int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
22170 if (unlikely(result < 0))
22172 if (unlikely(result == 1))
22173 goto raise_neg_overflow;
22176 if (
sizeof(
int) <=
sizeof(
unsigned long)) {
22177 __PYX_VERIFY_RETURN_INT_EXC(
int,
unsigned long, PyLong_AsUnsignedLong(x))
22178 #ifdef HAVE_LONG_LONG 22179 }
else if (
sizeof(
int) <=
sizeof(
unsigned PY_LONG_LONG)) {
22180 __PYX_VERIFY_RETURN_INT_EXC(
int,
unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
22184 #if CYTHON_USE_PYLONG_INTERNALS 22185 const digit* digits = ((PyLongObject*)x)->ob_digit;
22186 switch (Py_SIZE(x)) {
22187 case 0:
return (
int) 0;
22188 case -1: __PYX_VERIFY_RETURN_INT(
int, sdigit, (sdigit) (-(sdigit)digits[0]))
22189 case 1: __PYX_VERIFY_RETURN_INT(
int, digit, +digits[0])
22191 if (8 *
sizeof(
int) - 1 > 1 * PyLong_SHIFT) {
22192 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT) {
22193 __PYX_VERIFY_RETURN_INT(
int,
long, -(
long) (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22194 }
else if (8 *
sizeof(
int) - 1 > 2 * PyLong_SHIFT) {
22195 return (
int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (
int)digits[0])));
22200 if (8 *
sizeof(
int) > 1 * PyLong_SHIFT) {
22201 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT) {
22202 __PYX_VERIFY_RETURN_INT(
int,
unsigned long, (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22203 }
else if (8 *
sizeof(
int) - 1 > 2 * PyLong_SHIFT) {
22204 return (
int) ((((((int)digits[1]) << PyLong_SHIFT) | (
int)digits[0])));
22209 if (8 *
sizeof(
int) - 1 > 2 * PyLong_SHIFT) {
22210 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT) {
22211 __PYX_VERIFY_RETURN_INT(
int,
long, -(
long) (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22212 }
else if (8 *
sizeof(
int) - 1 > 3 * PyLong_SHIFT) {
22213 return (
int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (
int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
22218 if (8 *
sizeof(
int) > 2 * PyLong_SHIFT) {
22219 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT) {
22220 __PYX_VERIFY_RETURN_INT(
int,
unsigned long, (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22221 }
else if (8 *
sizeof(
int) - 1 > 3 * PyLong_SHIFT) {
22222 return (
int) ((((((((int)digits[2]) << PyLong_SHIFT) | (
int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
22227 if (8 *
sizeof(
int) - 1 > 3 * PyLong_SHIFT) {
22228 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT) {
22229 __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])))
22230 }
else if (8 *
sizeof(
int) - 1 > 4 * PyLong_SHIFT) {
22231 return (
int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (
int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (
int)digits[0])));
22236 if (8 *
sizeof(
int) > 3 * PyLong_SHIFT) {
22237 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT) {
22238 __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])))
22239 }
else if (8 *
sizeof(
int) - 1 > 4 * PyLong_SHIFT) {
22240 return (
int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (
int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (
int)digits[0])));
22246 if (
sizeof(
int) <=
sizeof(long)) {
22247 __PYX_VERIFY_RETURN_INT_EXC(
int,
long, PyLong_AsLong(x))
22248 #ifdef HAVE_LONG_LONG 22249 }
else if (
sizeof(
int) <=
sizeof(PY_LONG_LONG)) {
22250 __PYX_VERIFY_RETURN_INT_EXC(
int, PY_LONG_LONG, PyLong_AsLongLong(x))
22255 #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) 22256 PyErr_SetString(PyExc_RuntimeError,
22257 "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
22260 PyObject *v = __Pyx_PyNumber_IntOrLong(x);
22261 #if PY_MAJOR_VERSION < 3 22262 if (likely(v) && !PyLong_Check(v)) {
22264 v = PyNumber_Long(tmp);
22269 int one = 1;
int is_little = (int)*(
unsigned char *)&one;
22270 unsigned char *bytes = (
unsigned char *)&val;
22271 int ret = _PyLong_AsByteArray((PyLongObject *)v,
22272 bytes,
sizeof(val),
22273 is_little, !is_unsigned);
22283 PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
22284 if (!tmp)
return (
int) -1;
22285 val = __Pyx_PyInt_As_int(tmp);
22290 PyErr_SetString(PyExc_OverflowError,
22291 "value too large to convert to int");
22293 raise_neg_overflow:
22294 PyErr_SetString(PyExc_OverflowError,
22295 "can't convert negative value to int");
22300 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(
long value) {
22301 const long neg_one = (long) ((
long) 0 - (long) 1), const_zero = (long) 0;
22302 const int is_unsigned = neg_one > const_zero;
22304 if (
sizeof(
long) <
sizeof(long)) {
22305 return PyInt_FromLong((
long) value);
22306 }
else if (
sizeof(
long) <=
sizeof(
unsigned long)) {
22307 return PyLong_FromUnsignedLong((
unsigned long) value);
22308 #ifdef HAVE_LONG_LONG 22309 }
else if (
sizeof(
long) <=
sizeof(
unsigned PY_LONG_LONG)) {
22310 return PyLong_FromUnsignedLongLong((
unsigned PY_LONG_LONG) value);
22314 if (
sizeof(
long) <=
sizeof(
long)) {
22315 return PyInt_FromLong((
long) value);
22316 #ifdef HAVE_LONG_LONG 22317 }
else if (
sizeof(
long) <=
sizeof(PY_LONG_LONG)) {
22318 return PyLong_FromLongLong((PY_LONG_LONG) value);
22323 int one = 1;
int little = (int)*(
unsigned char *)&one;
22324 unsigned char *bytes = (
unsigned char *)&value;
22325 return _PyLong_FromByteArray(bytes,
sizeof(
long),
22326 little, !is_unsigned);
22331 static CYTHON_INLINE
long __Pyx_PyInt_As_long(PyObject *x) {
22332 const long neg_one = (long) ((
long) 0 - (long) 1), const_zero = (long) 0;
22333 const int is_unsigned = neg_one > const_zero;
22334 #if PY_MAJOR_VERSION < 3 22335 if (likely(PyInt_Check(x))) {
22336 if (
sizeof(
long) <
sizeof(long)) {
22337 __PYX_VERIFY_RETURN_INT(
long,
long, PyInt_AS_LONG(x))
22339 long val = PyInt_AS_LONG(x);
22340 if (is_unsigned && unlikely(val < 0)) {
22341 goto raise_neg_overflow;
22347 if (likely(PyLong_Check(x))) {
22349 #if CYTHON_USE_PYLONG_INTERNALS 22350 const digit* digits = ((PyLongObject*)x)->ob_digit;
22351 switch (Py_SIZE(x)) {
22352 case 0:
return (
long) 0;
22353 case 1: __PYX_VERIFY_RETURN_INT(
long, digit, digits[0])
22355 if (8 *
sizeof(
long) > 1 * PyLong_SHIFT) {
22356 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT) {
22357 __PYX_VERIFY_RETURN_INT(
long,
unsigned long, (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22358 }
else if (8 *
sizeof(
long) >= 2 * PyLong_SHIFT) {
22359 return (
long) (((((long)digits[1]) << PyLong_SHIFT) | (
long)digits[0]));
22364 if (8 *
sizeof(
long) > 2 * PyLong_SHIFT) {
22365 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT) {
22366 __PYX_VERIFY_RETURN_INT(
long,
unsigned long, (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22367 }
else if (8 *
sizeof(
long) >= 3 * PyLong_SHIFT) {
22368 return (
long) (((((((long)digits[2]) << PyLong_SHIFT) | (
long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
22373 if (8 *
sizeof(
long) > 3 * PyLong_SHIFT) {
22374 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT) {
22375 __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])))
22376 }
else if (8 *
sizeof(
long) >= 4 * PyLong_SHIFT) {
22377 return (
long) (((((((((long)digits[3]) << PyLong_SHIFT) | (
long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (
long)digits[0]));
22383 #if CYTHON_COMPILING_IN_CPYTHON 22384 if (unlikely(Py_SIZE(x) < 0)) {
22385 goto raise_neg_overflow;
22389 int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
22390 if (unlikely(result < 0))
22392 if (unlikely(result == 1))
22393 goto raise_neg_overflow;
22396 if (
sizeof(
long) <=
sizeof(
unsigned long)) {
22397 __PYX_VERIFY_RETURN_INT_EXC(
long,
unsigned long, PyLong_AsUnsignedLong(x))
22398 #ifdef HAVE_LONG_LONG 22399 }
else if (
sizeof(
long) <=
sizeof(
unsigned PY_LONG_LONG)) {
22400 __PYX_VERIFY_RETURN_INT_EXC(
long,
unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
22404 #if CYTHON_USE_PYLONG_INTERNALS 22405 const digit* digits = ((PyLongObject*)x)->ob_digit;
22406 switch (Py_SIZE(x)) {
22407 case 0:
return (
long) 0;
22408 case -1: __PYX_VERIFY_RETURN_INT(
long, sdigit, (sdigit) (-(sdigit)digits[0]))
22409 case 1: __PYX_VERIFY_RETURN_INT(
long, digit, +digits[0])
22411 if (8 *
sizeof(
long) - 1 > 1 * PyLong_SHIFT) {
22412 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT) {
22413 __PYX_VERIFY_RETURN_INT(
long,
long, -(
long) (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22414 }
else if (8 *
sizeof(
long) - 1 > 2 * PyLong_SHIFT) {
22415 return (
long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (
long)digits[0])));
22420 if (8 *
sizeof(
long) > 1 * PyLong_SHIFT) {
22421 if (8 *
sizeof(
unsigned long) > 2 * PyLong_SHIFT) {
22422 __PYX_VERIFY_RETURN_INT(
long,
unsigned long, (((((
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22423 }
else if (8 *
sizeof(
long) - 1 > 2 * PyLong_SHIFT) {
22424 return (
long) ((((((long)digits[1]) << PyLong_SHIFT) | (
long)digits[0])));
22429 if (8 *
sizeof(
long) - 1 > 2 * PyLong_SHIFT) {
22430 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT) {
22431 __PYX_VERIFY_RETURN_INT(
long,
long, -(
long) (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22432 }
else if (8 *
sizeof(
long) - 1 > 3 * PyLong_SHIFT) {
22433 return (
long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (
long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
22438 if (8 *
sizeof(
long) > 2 * PyLong_SHIFT) {
22439 if (8 *
sizeof(
unsigned long) > 3 * PyLong_SHIFT) {
22440 __PYX_VERIFY_RETURN_INT(
long,
unsigned long, (((((((
unsigned long)digits[2]) << PyLong_SHIFT) | (
unsigned long)digits[1]) << PyLong_SHIFT) | (
unsigned long)digits[0])))
22441 }
else if (8 *
sizeof(
long) - 1 > 3 * PyLong_SHIFT) {
22442 return (
long) ((((((((long)digits[2]) << PyLong_SHIFT) | (
long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
22447 if (8 *
sizeof(
long) - 1 > 3 * PyLong_SHIFT) {
22448 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT) {
22449 __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])))
22450 }
else if (8 *
sizeof(
long) - 1 > 4 * PyLong_SHIFT) {
22451 return (
long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (
long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (
long)digits[0])));
22456 if (8 *
sizeof(
long) > 3 * PyLong_SHIFT) {
22457 if (8 *
sizeof(
unsigned long) > 4 * PyLong_SHIFT) {
22458 __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])))
22459 }
else if (8 *
sizeof(
long) - 1 > 4 * PyLong_SHIFT) {
22460 return (
long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (
long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (
long)digits[0])));
22466 if (
sizeof(
long) <=
sizeof(long)) {
22467 __PYX_VERIFY_RETURN_INT_EXC(
long,
long, PyLong_AsLong(x))
22468 #ifdef HAVE_LONG_LONG 22469 }
else if (
sizeof(
long) <=
sizeof(PY_LONG_LONG)) {
22470 __PYX_VERIFY_RETURN_INT_EXC(
long, PY_LONG_LONG, PyLong_AsLongLong(x))
22475 #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) 22476 PyErr_SetString(PyExc_RuntimeError,
22477 "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
22480 PyObject *v = __Pyx_PyNumber_IntOrLong(x);
22481 #if PY_MAJOR_VERSION < 3 22482 if (likely(v) && !PyLong_Check(v)) {
22484 v = PyNumber_Long(tmp);
22489 int one = 1;
int is_little = (int)*(
unsigned char *)&one;
22490 unsigned char *bytes = (
unsigned char *)&val;
22491 int ret = _PyLong_AsByteArray((PyLongObject *)v,
22492 bytes,
sizeof(val),
22493 is_little, !is_unsigned);
22503 PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
22504 if (!tmp)
return (
long) -1;
22505 val = __Pyx_PyInt_As_long(tmp);
22510 PyErr_SetString(PyExc_OverflowError,
22511 "value too large to convert to long");
22513 raise_neg_overflow:
22514 PyErr_SetString(PyExc_OverflowError,
22515 "can't convert negative value to long");
22520 #if CYTHON_COMPILING_IN_CPYTHON 22521 static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
22527 return b == &PyBaseObject_Type;
22529 static CYTHON_INLINE
int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
22531 if (a == b)
return 1;
22535 n = PyTuple_GET_SIZE(mro);
22536 for (
i = 0;
i < n;
i++) {
22537 if (PyTuple_GET_ITEM(mro,
i) == (PyObject *)b)
22542 return __Pyx_InBases(a, b);
22544 #if PY_MAJOR_VERSION == 2 22545 static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
22546 PyObject *exception, *value, *tb;
22548 __Pyx_PyThreadState_declare
22549 __Pyx_PyThreadState_assign
22550 __Pyx_ErrFetch(&exception, &value, &tb);
22551 res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
22552 if (unlikely(res == -1)) {
22553 PyErr_WriteUnraisable(err);
22557 res = PyObject_IsSubclass(err, exc_type2);
22558 if (unlikely(res == -1)) {
22559 PyErr_WriteUnraisable(err);
22563 __Pyx_ErrRestore(exception, value, tb);
22567 static CYTHON_INLINE
int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
22568 int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
22570 res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
22575 static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
22577 assert(PyExceptionClass_Check(exc_type));
22578 n = PyTuple_GET_SIZE(tuple);
22579 #if PY_MAJOR_VERSION >= 3 22580 for (
i=0;
i<n;
i++) {
22581 if (exc_type == PyTuple_GET_ITEM(tuple,
i))
return 1;
22584 for (
i=0;
i<n;
i++) {
22585 PyObject *t = PyTuple_GET_ITEM(tuple,
i);
22586 #if PY_MAJOR_VERSION < 3 22587 if (likely(exc_type == t))
return 1;
22589 if (likely(PyExceptionClass_Check(t))) {
22590 if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t))
return 1;
22596 static CYTHON_INLINE
int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
22597 if (likely(err == exc_type))
return 1;
22598 if (likely(PyExceptionClass_Check(err))) {
22599 if (likely(PyExceptionClass_Check(exc_type))) {
22600 return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
22601 }
else if (likely(PyTuple_Check(exc_type))) {
22602 return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
22606 return PyErr_GivenExceptionMatches(err, exc_type);
22608 static CYTHON_INLINE
int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
22609 assert(PyExceptionClass_Check(exc_type1));
22610 assert(PyExceptionClass_Check(exc_type2));
22611 if (likely(err == exc_type1 || err == exc_type2))
return 1;
22612 if (likely(PyExceptionClass_Check(err))) {
22613 return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
22615 return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
22620 static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
22621 PyObject* fake_module;
22622 PyTypeObject* cached_type = NULL;
22623 fake_module = PyImport_AddModule((
char*)
"_cython_" CYTHON_ABI);
22624 if (!fake_module)
return NULL;
22625 Py_INCREF(fake_module);
22626 cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
22628 if (!PyType_Check((PyObject*)cached_type)) {
22629 PyErr_Format(PyExc_TypeError,
22630 "Shared Cython type %.200s is not a type object",
22634 if (cached_type->tp_basicsize != type->tp_basicsize) {
22635 PyErr_Format(PyExc_TypeError,
22636 "Shared Cython type %.200s has the wrong size, try recompiling",
22641 if (!PyErr_ExceptionMatches(PyExc_AttributeError))
goto bad;
22643 if (PyType_Ready(type) < 0)
goto bad;
22644 if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
22647 cached_type = type;
22650 Py_DECREF(fake_module);
22651 return cached_type;
22653 Py_XDECREF(cached_type);
22654 cached_type = NULL;
22659 #if CYTHON_FAST_THREAD_STATE 22660 static CYTHON_INLINE
void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
22661 PyObject *tmp_type, *tmp_value, *tmp_tb;
22662 #if CYTHON_USE_EXC_INFO_STACK 22663 _PyErr_StackItem *exc_info = tstate->exc_info;
22664 tmp_type = exc_info->exc_type;
22665 tmp_value = exc_info->exc_value;
22666 tmp_tb = exc_info->exc_traceback;
22667 exc_info->exc_type = *type;
22668 exc_info->exc_value = *value;
22669 exc_info->exc_traceback = *tb;
22671 tmp_type = tstate->exc_type;
22672 tmp_value = tstate->exc_value;
22673 tmp_tb = tstate->exc_traceback;
22674 tstate->exc_type = *type;
22675 tstate->exc_value = *value;
22676 tstate->exc_traceback = *tb;
22679 *value = tmp_value;
22683 static CYTHON_INLINE
void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
22684 PyObject *tmp_type, *tmp_value, *tmp_tb;
22685 PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
22686 PyErr_SetExcInfo(*type, *value, *tb);
22688 *value = tmp_value;
22694 static int __Pyx_PyObject_GetMethod(PyObject *
obj, PyObject *name, PyObject **method) {
22696 #if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP 22697 PyTypeObject *tp = Py_TYPE(
obj);
22699 descrgetfunc f = NULL;
22700 PyObject **dictptr, *dict;
22701 int meth_found = 0;
22702 assert (*method == NULL);
22703 if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
22704 attr = __Pyx_PyObject_GetAttrStr(
obj, name);
22707 if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
22710 descr = _PyType_Lookup(tp, name);
22711 if (likely(descr != NULL)) {
22713 #if PY_MAJOR_VERSION >= 3 22714 #ifdef __Pyx_CyFunction_USED 22715 if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
22717 if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type)))
22720 #ifdef __Pyx_CyFunction_USED 22721 if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
22723 if (likely(PyFunction_Check(descr)))
22729 f = Py_TYPE(descr)->tp_descr_get;
22730 if (f != NULL && PyDescr_IsData(descr)) {
22731 attr = f(descr,
obj, (PyObject *)Py_TYPE(
obj));
22737 dictptr = _PyObject_GetDictPtr(
obj);
22738 if (dictptr != NULL && (dict = *dictptr) != NULL) {
22740 attr = __Pyx_PyDict_GetItemStr(dict, name);
22741 if (attr != NULL) {
22754 attr = f(descr,
obj, (PyObject *)Py_TYPE(
obj));
22758 if (descr != NULL) {
22762 PyErr_Format(PyExc_AttributeError,
22763 #
if PY_MAJOR_VERSION >= 3
22764 "'%.50s' object has no attribute '%U'",
22765 tp->tp_name, name);
22767 "'%.50s' object has no attribute '%.400s'",
22768 tp->tp_name, PyString_AS_STRING(name));
22772 attr = __Pyx_PyObject_GetAttrStr(
obj, name);
22776 #if CYTHON_UNPACK_METHODS 22777 if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) ==
obj)) {
22778 PyObject *
function = PyMethod_GET_FUNCTION(attr);
22779 Py_INCREF(
function);
22781 *method =
function;
22790 static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
22791 PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
22795 static PyObject* __Pyx_PyObject_CallMethod1(PyObject*
obj, PyObject* method_name, PyObject* arg) {
22796 PyObject *method = NULL, *result;
22797 int is_method = __Pyx_PyObject_GetMethod(
obj, method_name, &method);
22798 if (likely(is_method)) {
22799 result = __Pyx_PyObject_Call2Args(method,
obj, arg);
22803 if (unlikely(!method))
return NULL;
22804 return __Pyx__PyObject_CallMethod1(method, arg);
22808 #include <structmember.h> 22809 #include <frameobject.h> 22810 #define __Pyx_Coroutine_Undelegate(gen) Py_CLEAR((gen)->yieldfrom) 22811 static int __Pyx_PyGen__FetchStopIterationValue(CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject **pvalue) {
22812 PyObject *et, *ev, *tb;
22813 PyObject *value = NULL;
22814 __Pyx_ErrFetch(&et, &ev, &tb);
22818 Py_INCREF(Py_None);
22822 if (likely(et == PyExc_StopIteration)) {
22824 Py_INCREF(Py_None);
22827 #if PY_VERSION_HEX >= 0x030300A0 22828 else if (Py_TYPE(ev) == (PyTypeObject*)PyExc_StopIteration) {
22829 value = ((PyStopIterationObject *)ev)->value;
22834 else if (unlikely(PyTuple_Check(ev))) {
22835 if (PyTuple_GET_SIZE(ev) >= 1) {
22836 #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS 22837 value = PyTuple_GET_ITEM(ev, 0);
22840 value = PySequence_ITEM(ev, 0);
22843 Py_INCREF(Py_None);
22848 else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
22851 if (likely(value)) {
22857 }
else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
22858 __Pyx_ErrRestore(et, ev, tb);
22861 PyErr_NormalizeException(&et, &ev, &tb);
22862 if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
22863 __Pyx_ErrRestore(et, ev, tb);
22868 #if PY_VERSION_HEX >= 0x030300A0 22869 value = ((PyStopIterationObject *)ev)->value;
22874 PyObject* args = __Pyx_PyObject_GetAttrStr(ev, __pyx_n_s_args);
22876 if (likely(args)) {
22877 value = PySequence_GetItem(args, 0);
22880 if (unlikely(!value)) {
22881 __Pyx_ErrRestore(NULL, NULL, NULL);
22882 Py_INCREF(Py_None);
22890 static CYTHON_INLINE
22891 void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
22892 PyObject *t, *v, *tb;
22893 t = exc_state->exc_type;
22894 v = exc_state->exc_value;
22895 tb = exc_state->exc_traceback;
22896 exc_state->exc_type = NULL;
22897 exc_state->exc_value = NULL;
22898 exc_state->exc_traceback = NULL;
22903 #define __Pyx_Coroutine_AlreadyRunningError(gen) (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL) 22904 static void __Pyx__Coroutine_AlreadyRunningError(CYTHON_UNUSED __pyx_CoroutineObject *gen) {
22907 #ifdef __Pyx_Coroutine_USED 22908 }
else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
22909 msg =
"coroutine already executing";
22911 #ifdef __Pyx_AsyncGen_USED 22912 }
else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
22913 msg =
"async generator already executing";
22916 msg =
"generator already executing";
22918 PyErr_SetString(PyExc_ValueError, msg);
22920 #define __Pyx_Coroutine_NotStartedError(gen) (__Pyx__Coroutine_NotStartedError(gen), (PyObject*)NULL) 22921 static void __Pyx__Coroutine_NotStartedError(CYTHON_UNUSED PyObject *gen) {
22924 #ifdef __Pyx_Coroutine_USED 22925 }
else if (__Pyx_Coroutine_Check(gen)) {
22926 msg =
"can't send non-None value to a just-started coroutine";
22928 #ifdef __Pyx_AsyncGen_USED 22929 }
else if (__Pyx_AsyncGen_CheckExact(gen)) {
22930 msg =
"can't send non-None value to a just-started async generator";
22933 msg =
"can't send non-None value to a just-started generator";
22935 PyErr_SetString(PyExc_TypeError, msg);
22937 #define __Pyx_Coroutine_AlreadyTerminatedError(gen, value, closing) (__Pyx__Coroutine_AlreadyTerminatedError(gen, value, closing), (PyObject*)NULL) 22938 static void __Pyx__Coroutine_AlreadyTerminatedError(CYTHON_UNUSED PyObject *gen, PyObject *value, CYTHON_UNUSED
int closing) {
22939 #ifdef __Pyx_Coroutine_USED 22940 if (!closing && __Pyx_Coroutine_Check(gen)) {
22941 PyErr_SetString(PyExc_RuntimeError,
"cannot reuse already awaited coroutine");
22945 #ifdef __Pyx_AsyncGen_USED 22946 if (__Pyx_AsyncGen_CheckExact(gen))
22947 PyErr_SetNone(__Pyx_PyExc_StopAsyncIteration);
22950 PyErr_SetNone(PyExc_StopIteration);
22954 PyObject *__Pyx_Coroutine_SendEx(__pyx_CoroutineObject *
self, PyObject *value,
int closing) {
22955 __Pyx_PyThreadState_declare
22956 PyThreadState *tstate;
22957 __Pyx_ExcInfoStruct *exc_state;
22959 assert(!self->is_running);
22960 if (unlikely(self->resume_label == 0)) {
22961 if (unlikely(value && value != Py_None)) {
22962 return __Pyx_Coroutine_NotStartedError((PyObject*)
self);
22965 if (unlikely(self->resume_label == -1)) {
22966 return __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)
self, value, closing);
22968 #if CYTHON_FAST_THREAD_STATE 22969 __Pyx_PyThreadState_assign
22970 tstate = __pyx_tstate;
22972 tstate = __Pyx_PyThreadState_Current;
22974 exc_state = &
self->gi_exc_state;
22975 if (exc_state->exc_type) {
22976 #if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON 22978 if (exc_state->exc_traceback) {
22979 PyTracebackObject *tb = (PyTracebackObject *) exc_state->exc_traceback;
22980 PyFrameObject *f = tb->tb_frame;
22981 Py_XINCREF(tstate->frame);
22982 assert(f->f_back == NULL);
22983 f->f_back = tstate->frame;
22987 #if CYTHON_USE_EXC_INFO_STACK 22988 exc_state->previous_item = tstate->exc_info;
22989 tstate->exc_info = exc_state;
22991 if (exc_state->exc_type) {
22992 __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
22994 __Pyx_Coroutine_ExceptionClear(exc_state);
22995 __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
22998 self->is_running = 1;
22999 retval =
self->body((PyObject *)
self, tstate, value);
23000 self->is_running = 0;
23001 #if CYTHON_USE_EXC_INFO_STACK 23002 exc_state = &
self->gi_exc_state;
23003 tstate->exc_info = exc_state->previous_item;
23004 exc_state->previous_item = NULL;
23005 __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
23009 static CYTHON_INLINE
void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
23010 PyObject *exc_tb = exc_state->exc_traceback;
23011 if (likely(exc_tb)) {
23012 #if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON 23014 PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
23015 PyFrameObject *f = tb->tb_frame;
23016 Py_CLEAR(f->f_back);
23020 static CYTHON_INLINE
23021 PyObject *__Pyx_Coroutine_MethodReturn(CYTHON_UNUSED PyObject* gen, PyObject *retval) {
23022 if (unlikely(!retval)) {
23023 __Pyx_PyThreadState_declare
23024 __Pyx_PyThreadState_assign
23025 if (!__Pyx_PyErr_Occurred()) {
23026 PyObject *exc = PyExc_StopIteration;
23027 #ifdef __Pyx_AsyncGen_USED 23028 if (__Pyx_AsyncGen_CheckExact(gen))
23029 exc = __Pyx_PyExc_StopAsyncIteration;
23031 __Pyx_PyErr_SetNone(exc);
23036 static CYTHON_INLINE
23037 PyObject *__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen) {
23039 PyObject *val = NULL;
23040 __Pyx_Coroutine_Undelegate(gen);
23041 __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
23042 ret = __Pyx_Coroutine_SendEx(gen, val, 0);
23046 static PyObject *__Pyx_Coroutine_Send(PyObject *
self, PyObject *value) {
23048 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*)
self;
23049 PyObject *yf = gen->yieldfrom;
23050 if (unlikely(gen->is_running))
23051 return __Pyx_Coroutine_AlreadyRunningError(gen);
23054 gen->is_running = 1;
23055 #ifdef __Pyx_Generator_USED 23056 if (__Pyx_Generator_CheckExact(yf)) {
23057 ret = __Pyx_Coroutine_Send(yf, value);
23060 #ifdef __Pyx_Coroutine_USED 23061 if (__Pyx_Coroutine_Check(yf)) {
23062 ret = __Pyx_Coroutine_Send(yf, value);
23065 #ifdef __Pyx_AsyncGen_USED 23066 if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
23067 ret = __Pyx_async_gen_asend_send(yf, value);
23070 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3) 23071 if (PyGen_CheckExact(yf)) {
23072 ret = _PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
23075 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03050000 && defined(PyCoro_CheckExact) && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3) 23076 if (PyCoro_CheckExact(yf)) {
23077 ret = _PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
23081 if (value == Py_None)
23082 ret = Py_TYPE(yf)->tp_iternext(yf);
23084 ret = __Pyx_PyObject_CallMethod1(yf, __pyx_n_s_send, value);
23086 gen->is_running = 0;
23090 retval = __Pyx_Coroutine_FinishDelegation(gen);
23092 retval = __Pyx_Coroutine_SendEx(gen, value, 0);
23094 return __Pyx_Coroutine_MethodReturn(
self, retval);
23096 static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
23097 PyObject *retval = NULL;
23099 #ifdef __Pyx_Generator_USED 23100 if (__Pyx_Generator_CheckExact(yf)) {
23101 retval = __Pyx_Coroutine_Close(yf);
23106 #ifdef __Pyx_Coroutine_USED 23107 if (__Pyx_Coroutine_Check(yf)) {
23108 retval = __Pyx_Coroutine_Close(yf);
23112 if (__Pyx_CoroutineAwait_CheckExact(yf)) {
23113 retval = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf, NULL);
23118 #ifdef __Pyx_AsyncGen_USED 23119 if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
23120 retval = __Pyx_async_gen_asend_close(yf, NULL);
23122 if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
23123 retval = __Pyx_async_gen_athrow_close(yf, NULL);
23128 gen->is_running = 1;
23129 meth = __Pyx_PyObject_GetAttrStr(yf, __pyx_n_s_close);
23130 if (unlikely(!meth)) {
23131 if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
23132 PyErr_WriteUnraisable(yf);
23136 retval = PyObject_CallFunction(meth, NULL);
23141 gen->is_running = 0;
23143 Py_XDECREF(retval);
23146 static PyObject *__Pyx_Generator_Next(PyObject *
self) {
23147 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*)
self;
23148 PyObject *yf = gen->yieldfrom;
23149 if (unlikely(gen->is_running))
23150 return __Pyx_Coroutine_AlreadyRunningError(gen);
23153 gen->is_running = 1;
23154 #ifdef __Pyx_Generator_USED 23155 if (__Pyx_Generator_CheckExact(yf)) {
23156 ret = __Pyx_Generator_Next(yf);
23159 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3) 23160 if (PyGen_CheckExact(yf)) {
23161 ret = _PyGen_Send((PyGenObject*)yf, NULL);
23164 #ifdef __Pyx_Coroutine_USED 23165 if (__Pyx_Coroutine_Check(yf)) {
23166 ret = __Pyx_Coroutine_Send(yf, Py_None);
23169 ret = Py_TYPE(yf)->tp_iternext(yf);
23170 gen->is_running = 0;
23174 return __Pyx_Coroutine_FinishDelegation(gen);
23176 return __Pyx_Coroutine_SendEx(gen, Py_None, 0);
23178 static PyObject *__Pyx_Coroutine_Close_Method(PyObject *
self, CYTHON_UNUSED PyObject *arg) {
23179 return __Pyx_Coroutine_Close(
self);
23181 static PyObject *__Pyx_Coroutine_Close(PyObject *
self) {
23182 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *)
self;
23183 PyObject *retval, *raised_exception;
23184 PyObject *yf = gen->yieldfrom;
23186 if (unlikely(gen->is_running))
23187 return __Pyx_Coroutine_AlreadyRunningError(gen);
23190 err = __Pyx_Coroutine_CloseIter(gen, yf);
23191 __Pyx_Coroutine_Undelegate(gen);
23195 PyErr_SetNone(PyExc_GeneratorExit);
23196 retval = __Pyx_Coroutine_SendEx(gen, NULL, 1);
23197 if (unlikely(retval)) {
23201 #ifdef __Pyx_Coroutine_USED 23202 }
else if (__Pyx_Coroutine_Check(
self)) {
23203 msg =
"coroutine ignored GeneratorExit";
23205 #ifdef __Pyx_AsyncGen_USED 23206 }
else if (__Pyx_AsyncGen_CheckExact(
self)) {
23207 #if PY_VERSION_HEX < 0x03060000 23208 msg =
"async generator ignored GeneratorExit - might require Python 3.6+ finalisation (PEP 525)";
23210 msg =
"async generator ignored GeneratorExit";
23214 msg =
"generator ignored GeneratorExit";
23216 PyErr_SetString(PyExc_RuntimeError, msg);
23219 raised_exception = PyErr_Occurred();
23220 if (likely(!raised_exception || __Pyx_PyErr_GivenExceptionMatches2(raised_exception, PyExc_GeneratorExit, PyExc_StopIteration))) {
23221 if (raised_exception) PyErr_Clear();
23222 Py_INCREF(Py_None);
23227 static PyObject *__Pyx__Coroutine_Throw(PyObject *
self, PyObject *typ, PyObject *val, PyObject *tb,
23228 PyObject *args,
int close_on_genexit) {
23229 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *)
self;
23230 PyObject *yf = gen->yieldfrom;
23231 if (unlikely(gen->is_running))
23232 return __Pyx_Coroutine_AlreadyRunningError(gen);
23236 if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
23237 int err = __Pyx_Coroutine_CloseIter(gen, yf);
23239 __Pyx_Coroutine_Undelegate(gen);
23241 return __Pyx_Coroutine_MethodReturn(
self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
23244 gen->is_running = 1;
23246 #ifdef __Pyx_Generator_USED
23247 || __Pyx_Generator_CheckExact(yf)
23249 #ifdef __Pyx_Coroutine_USED
23250 || __Pyx_Coroutine_Check(yf)
23253 ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
23254 #ifdef __Pyx_Coroutine_USED 23255 }
else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
23256 ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
23259 PyObject *meth = __Pyx_PyObject_GetAttrStr(yf, __pyx_n_s_throw);
23260 if (unlikely(!meth)) {
23262 if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
23263 gen->is_running = 0;
23267 __Pyx_Coroutine_Undelegate(gen);
23268 gen->is_running = 0;
23271 if (likely(args)) {
23272 ret = PyObject_CallObject(meth, args);
23274 ret = PyObject_CallFunctionObjArgs(meth, typ, val, tb, NULL);
23278 gen->is_running = 0;
23281 ret = __Pyx_Coroutine_FinishDelegation(gen);
23283 return __Pyx_Coroutine_MethodReturn(
self, ret);
23286 __Pyx_Raise(typ, val, tb, NULL);
23287 return __Pyx_Coroutine_MethodReturn(
self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
23289 static PyObject *__Pyx_Coroutine_Throw(PyObject *
self, PyObject *args) {
23291 PyObject *val = NULL;
23292 PyObject *tb = NULL;
23293 if (!PyArg_UnpackTuple(args, (
char *)
"throw", 1, 3, &typ, &val, &tb))
23295 return __Pyx__Coroutine_Throw(
self, typ, val, tb, args, 1);
23297 static CYTHON_INLINE
int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit,
void *arg) {
23298 Py_VISIT(exc_state->exc_type);
23299 Py_VISIT(exc_state->exc_value);
23300 Py_VISIT(exc_state->exc_traceback);
23303 static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit,
void *arg) {
23304 Py_VISIT(gen->closure);
23305 Py_VISIT(gen->classobj);
23306 Py_VISIT(gen->yieldfrom);
23307 return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
23309 static int __Pyx_Coroutine_clear(PyObject *
self) {
23310 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *)
self;
23311 Py_CLEAR(gen->closure);
23312 Py_CLEAR(gen->classobj);
23313 Py_CLEAR(gen->yieldfrom);
23314 __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
23315 #ifdef __Pyx_AsyncGen_USED 23316 if (__Pyx_AsyncGen_CheckExact(
self)) {
23317 Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
23320 Py_CLEAR(gen->gi_code);
23321 Py_CLEAR(gen->gi_name);
23322 Py_CLEAR(gen->gi_qualname);
23323 Py_CLEAR(gen->gi_modulename);
23326 static void __Pyx_Coroutine_dealloc(PyObject *
self) {
23327 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *)
self;
23328 PyObject_GC_UnTrack(gen);
23329 if (gen->gi_weakreflist != NULL)
23330 PyObject_ClearWeakRefs(
self);
23331 if (gen->resume_label >= 0) {
23332 PyObject_GC_Track(
self);
23333 #if PY_VERSION_HEX >= 0x030400a1 && CYTHON_USE_TP_FINALIZE 23334 if (PyObject_CallFinalizerFromDealloc(
self))
23336 Py_TYPE(gen)->tp_del(
self);
23337 if (self->ob_refcnt > 0)
23342 PyObject_GC_UnTrack(
self);
23344 #ifdef __Pyx_AsyncGen_USED 23345 if (__Pyx_AsyncGen_CheckExact(
self)) {
23349 Py_CLEAR(((__pyx_PyAsyncGenObject*)
self)->ag_finalizer);
23352 __Pyx_Coroutine_clear(
self);
23353 PyObject_GC_Del(gen);
23355 static void __Pyx_Coroutine_del(PyObject *
self) {
23356 PyObject *error_type, *error_value, *error_traceback;
23357 __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *)
self;
23358 __Pyx_PyThreadState_declare
23359 if (gen->resume_label < 0) {
23362 #if !CYTHON_USE_TP_FINALIZE 23363 assert(self->ob_refcnt == 0);
23364 self->ob_refcnt = 1;
23366 __Pyx_PyThreadState_assign
23367 __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
23368 #ifdef __Pyx_AsyncGen_USED 23369 if (__Pyx_AsyncGen_CheckExact(
self)) {
23370 __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)
self;
23371 PyObject *finalizer = agen->ag_finalizer;
23372 if (finalizer && !agen->ag_closed) {
23373 PyObject *res = __Pyx_PyObject_CallOneArg(finalizer,
self);
23374 if (unlikely(!res)) {
23375 PyErr_WriteUnraisable(
self);
23379 __Pyx_ErrRestore(error_type, error_value, error_traceback);
23384 if (unlikely(gen->resume_label == 0 && !error_value)) {
23385 #ifdef __Pyx_Coroutine_USED 23386 #ifdef __Pyx_Generator_USED 23387 if (!__Pyx_Generator_CheckExact(
self))
23390 PyObject_GC_UnTrack(
self);
23391 #if PY_MAJOR_VERSION >= 3 || defined(PyErr_WarnFormat) 23392 if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1,
"coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
23393 PyErr_WriteUnraisable(
self);
23397 #if CYTHON_COMPILING_IN_PYPY 23399 cmsg = (
char*)
"coroutine was never awaited";
23402 PyObject *qualname;
23403 qualname = gen->gi_qualname;
23404 cname = PyString_AS_STRING(qualname);
23405 msg = PyString_FromFormat(
"coroutine '%.50s' was never awaited", cname);
23406 if (unlikely(!msg)) {
23408 cmsg = (
char*)
"coroutine was never awaited";
23410 cmsg = PyString_AS_STRING(msg);
23413 if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, cmsg, 1) < 0))
23414 PyErr_WriteUnraisable(
self);
23417 PyObject_GC_Track(
self);
23421 PyObject *res = __Pyx_Coroutine_Close(
self);
23422 if (unlikely(!res)) {
23423 if (PyErr_Occurred())
23424 PyErr_WriteUnraisable(
self);
23429 __Pyx_ErrRestore(error_type, error_value, error_traceback);
23430 #if !CYTHON_USE_TP_FINALIZE 23431 assert(self->ob_refcnt > 0);
23432 if (--self->ob_refcnt == 0) {
23436 Py_ssize_t refcnt =
self->ob_refcnt;
23437 _Py_NewReference(
self);
23438 self->ob_refcnt = refcnt;
23440 #if CYTHON_COMPILING_IN_CPYTHON 23441 assert(PyType_IS_GC(self->ob_type) &&
23442 _Py_AS_GC(
self)->gc.gc_refs != _PyGC_REFS_UNTRACKED);
23445 #ifdef COUNT_ALLOCS 23446 --Py_TYPE(
self)->tp_frees;
23447 --Py_TYPE(
self)->tp_allocs;
23452 __Pyx_Coroutine_get_name(__pyx_CoroutineObject *
self, CYTHON_UNUSED
void *context)
23454 PyObject *name =
self->gi_name;
23455 if (unlikely(!name)) name = Py_None;
23460 __Pyx_Coroutine_set_name(__pyx_CoroutineObject *
self, PyObject *value, CYTHON_UNUSED
void *context)
23463 #if PY_MAJOR_VERSION >= 3 23464 if (unlikely(value == NULL || !PyUnicode_Check(value)))
23466 if (unlikely(value == NULL || !PyString_Check(value)))
23469 PyErr_SetString(PyExc_TypeError,
23470 "__name__ must be set to a string object");
23473 tmp =
self->gi_name;
23475 self->gi_name = value;
23480 __Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *
self, CYTHON_UNUSED
void *context)
23482 PyObject *name =
self->gi_qualname;
23483 if (unlikely(!name)) name = Py_None;
23488 __Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *
self, PyObject *value, CYTHON_UNUSED
void *context)
23491 #if PY_MAJOR_VERSION >= 3 23492 if (unlikely(value == NULL || !PyUnicode_Check(value)))
23494 if (unlikely(value == NULL || !PyString_Check(value)))
23497 PyErr_SetString(PyExc_TypeError,
23498 "__qualname__ must be set to a string object");
23501 tmp =
self->gi_qualname;
23503 self->gi_qualname = value;
23507 static __pyx_CoroutineObject *__Pyx__Coroutine_New(
23508 PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
23509 PyObject *name, PyObject *qualname, PyObject *module_name) {
23510 __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
23511 if (unlikely(!gen))
23513 return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
23515 static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
23516 __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
23517 PyObject *name, PyObject *qualname, PyObject *module_name) {
23519 gen->closure = closure;
23520 Py_XINCREF(closure);
23521 gen->is_running = 0;
23522 gen->resume_label = 0;
23523 gen->classobj = NULL;
23524 gen->yieldfrom = NULL;
23525 gen->gi_exc_state.exc_type = NULL;
23526 gen->gi_exc_state.exc_value = NULL;
23527 gen->gi_exc_state.exc_traceback = NULL;
23528 #if CYTHON_USE_EXC_INFO_STACK 23529 gen->gi_exc_state.previous_item = NULL;
23531 gen->gi_weakreflist = NULL;
23532 Py_XINCREF(qualname);
23533 gen->gi_qualname = qualname;
23535 gen->gi_name = name;
23536 Py_XINCREF(module_name);
23537 gen->gi_modulename = module_name;
23539 gen->gi_code = code;
23540 PyObject_GC_Track(gen);
23545 static PyObject* __Pyx_Coroutine_patch_module(PyObject* module,
const char* py_code) {
23546 #if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED) 23548 PyObject *globals, *result_obj;
23549 globals = PyDict_New();
if (unlikely(!globals))
goto ignore;
23550 result = PyDict_SetItemString(globals,
"_cython_coroutine_type",
23551 #ifdef __Pyx_Coroutine_USED
23552 (PyObject*)__pyx_CoroutineType);
23556 if (unlikely(result < 0))
goto ignore;
23557 result = PyDict_SetItemString(globals,
"_cython_generator_type",
23558 #ifdef __Pyx_Generator_USED
23559 (PyObject*)__pyx_GeneratorType);
23563 if (unlikely(result < 0))
goto ignore;
23564 if (unlikely(PyDict_SetItemString(globals,
"_module", module) < 0))
goto ignore;
23565 if (unlikely(PyDict_SetItemString(globals,
"__builtins__", __pyx_b) < 0))
goto ignore;
23566 result_obj = PyRun_String(py_code, Py_file_input, globals, globals);
23567 if (unlikely(!result_obj))
goto ignore;
23568 Py_DECREF(result_obj);
23569 Py_DECREF(globals);
23572 Py_XDECREF(globals);
23573 PyErr_WriteUnraisable(module);
23574 if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
"Cython module failed to patch module with custom type", 1) < 0)) {
23585 #ifndef CYTHON_REGISTER_ABCS 23586 #define CYTHON_REGISTER_ABCS 1 23588 #if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED) 23589 static PyObject* __Pyx_patch_abc_module(PyObject *module);
23590 static PyObject* __Pyx_patch_abc_module(PyObject *module) {
23591 module = __Pyx_Coroutine_patch_module(
23593 "if _cython_generator_type is not None:\n" 23594 " try: Generator = _module.Generator\n" 23595 " except AttributeError: pass\n" 23596 " else: Generator.register(_cython_generator_type)\n" 23597 "if _cython_coroutine_type is not None:\n" 23598 " try: Coroutine = _module.Coroutine\n" 23599 " except AttributeError: pass\n" 23600 " else: Coroutine.register(_cython_coroutine_type)\n" 23605 static int __Pyx_patch_abc(
void) {
23606 #if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED) 23607 static int abc_patched = 0;
23608 if (CYTHON_REGISTER_ABCS && !abc_patched) {
23610 module = PyImport_ImportModule((PY_MAJOR_VERSION >= 3) ?
"collections.abc" :
"collections");
23612 PyErr_WriteUnraisable(NULL);
23613 if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
23614 ((PY_MAJOR_VERSION >= 3) ?
23615 "Cython module failed to register with collections.abc module" :
23616 "Cython module failed to register with collections module"), 1) < 0)) {
23620 module = __Pyx_patch_abc_module(module);
23622 if (unlikely(!module))
23626 module = PyImport_ImportModule(
"backports_abc");
23628 module = __Pyx_patch_abc_module(module);
23629 Py_XDECREF(module);
23636 if ((0)) __Pyx_Coroutine_patch_module(NULL, NULL);
23642 static PyMethodDef __pyx_Generator_methods[] = {
23643 {
"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
23644 (
char*) PyDoc_STR(
"send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
23645 {
"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
23646 (
char*) PyDoc_STR(
"throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
23647 {
"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
23648 (
char*) PyDoc_STR(
"close() -> raise GeneratorExit inside generator.")},
23651 static PyMemberDef __pyx_Generator_memberlist[] = {
23652 {(
char *)
"gi_running", T_BOOL, offsetof(__pyx_CoroutineObject, is_running), READONLY, NULL},
23653 {(
char*)
"gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
23654 (
char*) PyDoc_STR(
"object being iterated by 'yield from', or None")},
23655 {(
char*)
"gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
23658 static PyGetSetDef __pyx_Generator_getsets[] = {
23659 {(
char *)
"__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
23660 (
char*) PyDoc_STR(
"name of the generator"), 0},
23661 {(
char *)
"__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
23662 (
char*) PyDoc_STR(
"qualified name of the generator"), 0},
23665 static PyTypeObject __pyx_GeneratorType_type = {
23666 PyVarObject_HEAD_INIT(0, 0)
23668 sizeof(__pyx_CoroutineObject),
23670 (destructor) __Pyx_Coroutine_dealloc,
23685 Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
23687 (traverseproc) __Pyx_Coroutine_traverse,
23690 offsetof(__pyx_CoroutineObject, gi_weakreflist),
23692 (iternextfunc) __Pyx_Generator_Next,
23693 __pyx_Generator_methods,
23694 __pyx_Generator_memberlist,
23695 __pyx_Generator_getsets,
23711 #
if CYTHON_USE_TP_FINALIZE
23714 __Pyx_Coroutine_del,
23717 #
if CYTHON_USE_TP_FINALIZE
23718 __Pyx_Coroutine_del,
23719 #elif PY_VERSION_HEX >= 0x030400a1
23722 #
if PY_VERSION_HEX >= 0x030800b1
23725 #
if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
23729 static int __pyx_Generator_init(
void) {
23730 __pyx_GeneratorType_type.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
23731 __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
23732 __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
23733 if (unlikely(!__pyx_GeneratorType)) {
23740 static int __Pyx_check_binary_version(
void) {
23741 char ctversion[4], rtversion[4];
23742 PyOS_snprintf(ctversion, 4,
"%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
23743 PyOS_snprintf(rtversion, 4,
"%s", Py_GetVersion());
23744 if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
23746 PyOS_snprintf(message,
sizeof(message),
23747 "compiletime version %s of module '%.100s' " 23748 "does not match runtime version %s",
23749 ctversion, __Pyx_MODULE_NAME, rtversion);
23750 return PyErr_WarnEx(NULL, message, 1);
23756 static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
23758 #if PY_MAJOR_VERSION < 3 23759 if (t->is_unicode) {
23760 *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
23761 }
else if (t->intern) {
23762 *t->p = PyString_InternFromString(t->s);
23764 *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
23767 if (t->is_unicode | t->is_str) {
23769 *t->p = PyUnicode_InternFromString(t->s);
23770 }
else if (t->encoding) {
23771 *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
23773 *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
23776 *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
23781 if (PyObject_Hash(*t->p) == -1)
23788 static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(
const char* c_str) {
23789 return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
23791 static CYTHON_INLINE
const char* __Pyx_PyObject_AsString(PyObject* o) {
23793 return __Pyx_PyObject_AsStringAndSize(o, &ignore);
23795 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 23796 #if !CYTHON_PEP393_ENABLED 23797 static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
23799 PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
23800 if (!defenc)
return NULL;
23801 defenc_c = PyBytes_AS_STRING(defenc);
23802 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 23804 char* end = defenc_c + PyBytes_GET_SIZE(defenc);
23806 for (c = defenc_c; c < end; c++) {
23807 if ((
unsigned char) (*c) >= 128) {
23808 PyUnicode_AsASCIIString(o);
23814 *length = PyBytes_GET_SIZE(defenc);
23818 static CYTHON_INLINE
const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
23819 if (unlikely(__Pyx_PyUnicode_READY(o) == -1))
return NULL;
23820 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 23821 if (likely(PyUnicode_IS_ASCII(o))) {
23822 *length = PyUnicode_GET_LENGTH(o);
23823 return PyUnicode_AsUTF8(o);
23825 PyUnicode_AsASCIIString(o);
23829 return PyUnicode_AsUTF8AndSize(o, length);
23834 static CYTHON_INLINE
const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
23835 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 23837 #
if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
23838 __Pyx_sys_getdefaultencoding_not_ascii &&
23840 PyUnicode_Check(o)) {
23841 return __Pyx_PyUnicode_AsStringAndSize(o, length);
23844 #if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE)) 23845 if (PyByteArray_Check(o)) {
23846 *length = PyByteArray_GET_SIZE(o);
23847 return PyByteArray_AS_STRING(o);
23852 int r = PyBytes_AsStringAndSize(o, &result, length);
23853 if (unlikely(r < 0)) {
23860 static CYTHON_INLINE
int __Pyx_PyObject_IsTrue(PyObject* x) {
23861 int is_true = x == Py_True;
23862 if (is_true | (x == Py_False) | (x == Py_None))
return is_true;
23863 else return PyObject_IsTrue(x);
23865 static CYTHON_INLINE
int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
23867 if (unlikely(!x))
return -1;
23868 retval = __Pyx_PyObject_IsTrue(x);
23872 static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result,
const char* type_name) {
23873 #if PY_MAJOR_VERSION >= 3 23874 if (PyLong_Check(result)) {
23875 if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
23876 "__int__ returned non-int (type %.200s). " 23877 "The ability to return an instance of a strict subclass of int " 23878 "is deprecated, and may be removed in a future version of Python.",
23879 Py_TYPE(result)->tp_name)) {
23886 PyErr_Format(PyExc_TypeError,
23887 "__%.4s__ returned non-%.4s (type %.200s)",
23888 type_name, type_name, Py_TYPE(result)->tp_name);
23892 static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
23893 #if CYTHON_USE_TYPE_SLOTS 23894 PyNumberMethods *m;
23896 const char *name = NULL;
23897 PyObject *res = NULL;
23898 #if PY_MAJOR_VERSION < 3 23899 if (likely(PyInt_Check(x) || PyLong_Check(x)))
23901 if (likely(PyLong_Check(x)))
23903 return __Pyx_NewRef(x);
23904 #if CYTHON_USE_TYPE_SLOTS 23905 m = Py_TYPE(x)->tp_as_number;
23906 #if PY_MAJOR_VERSION < 3 23907 if (m && m->nb_int) {
23909 res = m->nb_int(x);
23911 else if (m && m->nb_long) {
23913 res = m->nb_long(x);
23916 if (likely(m && m->nb_int)) {
23918 res = m->nb_int(x);
23922 if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
23923 res = PyNumber_Int(x);
23927 #if PY_MAJOR_VERSION < 3 23928 if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
23930 if (unlikely(!PyLong_CheckExact(res))) {
23932 return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
23935 else if (!PyErr_Occurred()) {
23936 PyErr_SetString(PyExc_TypeError,
23937 "an integer is required");
23941 static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
23944 #if PY_MAJOR_VERSION < 3 23945 if (likely(PyInt_CheckExact(b))) {
23946 if (
sizeof(Py_ssize_t) >=
sizeof(
long))
23947 return PyInt_AS_LONG(b);
23949 return PyInt_AsSsize_t(b);
23952 if (likely(PyLong_CheckExact(b))) {
23953 #if CYTHON_USE_PYLONG_INTERNALS 23954 const digit* digits = ((PyLongObject*)b)->ob_digit;
23955 const Py_ssize_t size = Py_SIZE(b);
23956 if (likely(__Pyx_sst_abs(size) <= 1)) {
23957 ival = likely(size) ? digits[0] : 0;
23958 if (size == -1) ival = -ival;
23963 if (8 *
sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
23964 return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (
size_t)digits[0]));
23968 if (8 *
sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
23969 return -(Py_ssize_t) (((((
size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
23973 if (8 *
sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
23974 return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (
size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
23978 if (8 *
sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
23979 return -(Py_ssize_t) (((((((
size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (
size_t)digits[0]));
23983 if (8 *
sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
23984 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]));
23988 if (8 *
sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
23989 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]));
23995 return PyLong_AsSsize_t(b);
23997 x = PyNumber_Index(b);
23999 ival = PyInt_AsSsize_t(x);
24003 static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(
long b) {
24004 return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
24006 static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(
size_t ival) {
24007 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)].