glucat  0.8.2
PyClical.cpp
Go to the documentation of this file.
1 /* Generated by Cython 0.19.1 on Sun Feb 5 14:37:51 2017 */
2 
3 #define PY_SSIZE_T_CLEAN
4 #ifndef CYTHON_USE_PYLONG_INTERNALS
5 #ifdef PYLONG_BITS_IN_DIGIT
6 #define CYTHON_USE_PYLONG_INTERNALS 0
7 #else
8 #include "pyconfig.h"
9 #ifdef PYLONG_BITS_IN_DIGIT
10 #define CYTHON_USE_PYLONG_INTERNALS 1
11 #else
12 #define CYTHON_USE_PYLONG_INTERNALS 0
13 #endif
14 #endif
15 #endif
16 #include "Python.h"
17 #ifndef Py_PYTHON_H
18  #error Python headers needed to compile C extensions, please install development version of Python.
19 #elif PY_VERSION_HEX < 0x02040000
20  #error Cython requires Python 2.4+.
21 #else
22 #include <stddef.h> /* For offsetof */
23 #ifndef offsetof
24 #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
25 #endif
26 #if !defined(WIN32) && !defined(MS_WINDOWS)
27  #ifndef __stdcall
28  #define __stdcall
29  #endif
30  #ifndef __cdecl
31  #define __cdecl
32  #endif
33  #ifndef __fastcall
34  #define __fastcall
35  #endif
36 #endif
37 #ifndef DL_IMPORT
38  #define DL_IMPORT(t) t
39 #endif
40 #ifndef DL_EXPORT
41  #define DL_EXPORT(t) t
42 #endif
43 #ifndef PY_LONG_LONG
44  #define PY_LONG_LONG LONG_LONG
45 #endif
46 #ifndef Py_HUGE_VAL
47  #define Py_HUGE_VAL HUGE_VAL
48 #endif
49 #ifdef PYPY_VERSION
50 #define CYTHON_COMPILING_IN_PYPY 1
51 #define CYTHON_COMPILING_IN_CPYTHON 0
52 #else
53 #define CYTHON_COMPILING_IN_PYPY 0
54 #define CYTHON_COMPILING_IN_CPYTHON 1
55 #endif
56 #if PY_VERSION_HEX < 0x02050000
57  typedef int Py_ssize_t;
58  #define PY_SSIZE_T_MAX INT_MAX
59  #define PY_SSIZE_T_MIN INT_MIN
60  #define PY_FORMAT_SIZE_T ""
61  #define CYTHON_FORMAT_SSIZE_T ""
62  #define PyInt_FromSsize_t(z) PyInt_FromLong(z)
63  #define PyInt_AsSsize_t(o) __Pyx_PyInt_AsInt(o)
64  #define PyNumber_Index(o) ((PyNumber_Check(o) && !PyFloat_Check(o)) ? PyNumber_Int(o) : \
65  (PyErr_Format(PyExc_TypeError, \
66  "expected index value, got %.200s", Py_TYPE(o)->tp_name), \
67  (PyObject*)0))
68  #define __Pyx_PyIndex_Check(o) (PyNumber_Check(o) && !PyFloat_Check(o) && \
69  !PyComplex_Check(o))
70  #define PyIndex_Check __Pyx_PyIndex_Check
71  #define PyErr_WarnEx(category, message, stacklevel) PyErr_Warn(category, message)
72  #define __PYX_BUILD_PY_SSIZE_T "i"
73 #else
74  #define __PYX_BUILD_PY_SSIZE_T "n"
75  #define CYTHON_FORMAT_SSIZE_T "z"
76  #define __Pyx_PyIndex_Check PyIndex_Check
77 #endif
78 #if PY_VERSION_HEX < 0x02060000
79  #define Py_REFCNT(ob) (((PyObject*)(ob))->ob_refcnt)
80  #define Py_TYPE(ob) (((PyObject*)(ob))->ob_type)
81  #define Py_SIZE(ob) (((PyVarObject*)(ob))->ob_size)
82  #define PyVarObject_HEAD_INIT(type, size) \
83  PyObject_HEAD_INIT(type) size,
84  #define PyType_Modified(t)
85  typedef struct {
86  void *buf;
87  PyObject *obj;
88  Py_ssize_t len;
89  Py_ssize_t itemsize;
90  int readonly;
91  int ndim;
92  char *format;
93  Py_ssize_t *shape;
94  Py_ssize_t *strides;
95  Py_ssize_t *suboffsets;
96  void *internal;
97  } Py_buffer;
98  #define PyBUF_SIMPLE 0
99  #define PyBUF_WRITABLE 0x0001
100  #define PyBUF_FORMAT 0x0004
101  #define PyBUF_ND 0x0008
102  #define PyBUF_STRIDES (0x0010 | PyBUF_ND)
103  #define PyBUF_C_CONTIGUOUS (0x0020 | PyBUF_STRIDES)
104  #define PyBUF_F_CONTIGUOUS (0x0040 | PyBUF_STRIDES)
105  #define PyBUF_ANY_CONTIGUOUS (0x0080 | PyBUF_STRIDES)
106  #define PyBUF_INDIRECT (0x0100 | PyBUF_STRIDES)
107  #define PyBUF_RECORDS (PyBUF_STRIDES | PyBUF_FORMAT | PyBUF_WRITABLE)
108  #define PyBUF_FULL (PyBUF_INDIRECT | PyBUF_FORMAT | PyBUF_WRITABLE)
109  typedef int (*getbufferproc)(PyObject *, Py_buffer *, int);
110  typedef void (*releasebufferproc)(PyObject *, Py_buffer *);
111 #endif
112 #if PY_MAJOR_VERSION < 3
113  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
114  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) \
115  PyCode_New(a, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
116 #else
117  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
118  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) \
119  PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
120 #endif
121 #if PY_MAJOR_VERSION < 3 && PY_MINOR_VERSION < 6
122  #define PyUnicode_FromString(s) PyUnicode_Decode(s, strlen(s), "UTF-8", "strict")
123 #endif
124 #if PY_MAJOR_VERSION >= 3
125  #define Py_TPFLAGS_CHECKTYPES 0
126  #define Py_TPFLAGS_HAVE_INDEX 0
127 #endif
128 #if (PY_VERSION_HEX < 0x02060000) || (PY_MAJOR_VERSION >= 3)
129  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
130 #endif
131 #if PY_VERSION_HEX < 0x02060000
132  #define Py_TPFLAGS_HAVE_VERSION_TAG 0
133 #endif
134 #if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
135  #define CYTHON_PEP393_ENABLED 1
136  #define __Pyx_PyUnicode_READY(op) (likely(PyUnicode_IS_READY(op)) ? \
137  0 : _PyUnicode_Ready((PyObject *)(op)))
138  #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_LENGTH(u)
139  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
140  #define __Pyx_PyUnicode_READ(k, d, i) PyUnicode_READ(k, d, i)
141 #else
142  #define CYTHON_PEP393_ENABLED 0
143  #define __Pyx_PyUnicode_READY(op) (0)
144  #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_SIZE(u)
145  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
146  #define __Pyx_PyUnicode_READ(k, d, i) ((k=k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
147 #endif
148 #if PY_MAJOR_VERSION >= 3
149  #define PyBaseString_Type PyUnicode_Type
150  #define PyStringObject PyUnicodeObject
151  #define PyString_Type PyUnicode_Type
152  #define PyString_Check PyUnicode_Check
153  #define PyString_CheckExact PyUnicode_CheckExact
154 #endif
155 #if PY_VERSION_HEX < 0x02060000
156  #define PyBytesObject PyStringObject
157  #define PyBytes_Type PyString_Type
158  #define PyBytes_Check PyString_Check
159  #define PyBytes_CheckExact PyString_CheckExact
160  #define PyBytes_FromString PyString_FromString
161  #define PyBytes_FromStringAndSize PyString_FromStringAndSize
162  #define PyBytes_FromFormat PyString_FromFormat
163  #define PyBytes_DecodeEscape PyString_DecodeEscape
164  #define PyBytes_AsString PyString_AsString
165  #define PyBytes_AsStringAndSize PyString_AsStringAndSize
166  #define PyBytes_Size PyString_Size
167  #define PyBytes_AS_STRING PyString_AS_STRING
168  #define PyBytes_GET_SIZE PyString_GET_SIZE
169  #define PyBytes_Repr PyString_Repr
170  #define PyBytes_Concat PyString_Concat
171  #define PyBytes_ConcatAndDel PyString_ConcatAndDel
172 #endif
173 #if PY_MAJOR_VERSION >= 3
174  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
175  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
176 #else
177  #define __Pyx_PyBaseString_Check(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj) || \
178  PyString_Check(obj) || PyUnicode_Check(obj))
179  #define __Pyx_PyBaseString_CheckExact(obj) (Py_TYPE(obj) == &PyBaseString_Type)
180 #endif
181 #if PY_VERSION_HEX < 0x02060000
182  #define PySet_Check(obj) PyObject_TypeCheck(obj, &PySet_Type)
183  #define PyFrozenSet_Check(obj) PyObject_TypeCheck(obj, &PyFrozenSet_Type)
184 #endif
185 #ifndef PySet_CheckExact
186  #define PySet_CheckExact(obj) (Py_TYPE(obj) == &PySet_Type)
187 #endif
188 #define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
189 #if PY_MAJOR_VERSION >= 3
190  #define PyIntObject PyLongObject
191  #define PyInt_Type PyLong_Type
192  #define PyInt_Check(op) PyLong_Check(op)
193  #define PyInt_CheckExact(op) PyLong_CheckExact(op)
194  #define PyInt_FromString PyLong_FromString
195  #define PyInt_FromUnicode PyLong_FromUnicode
196  #define PyInt_FromLong PyLong_FromLong
197  #define PyInt_FromSize_t PyLong_FromSize_t
198  #define PyInt_FromSsize_t PyLong_FromSsize_t
199  #define PyInt_AsLong PyLong_AsLong
200  #define PyInt_AS_LONG PyLong_AS_LONG
201  #define PyInt_AsSsize_t PyLong_AsSsize_t
202  #define PyInt_AsUnsignedLongMask PyLong_AsUnsignedLongMask
203  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
204 #endif
205 #if PY_MAJOR_VERSION >= 3
206  #define PyBoolObject PyLongObject
207 #endif
208 #if PY_VERSION_HEX < 0x03020000
209  typedef long Py_hash_t;
210  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
211  #define __Pyx_PyInt_AsHash_t PyInt_AsLong
212 #else
213  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
214  #define __Pyx_PyInt_AsHash_t PyInt_AsSsize_t
215 #endif
216 #if (PY_MAJOR_VERSION < 3) || (PY_VERSION_HEX >= 0x03010300)
217  #define __Pyx_PySequence_GetSlice(obj, a, b) PySequence_GetSlice(obj, a, b)
218  #define __Pyx_PySequence_SetSlice(obj, a, b, value) PySequence_SetSlice(obj, a, b, value)
219  #define __Pyx_PySequence_DelSlice(obj, a, b) PySequence_DelSlice(obj, a, b)
220 #else
221  #define __Pyx_PySequence_GetSlice(obj, a, b) (unlikely(!(obj)) ? \
222  (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), (PyObject*)0) : \
223  (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_GetSlice(obj, a, b)) : \
224  (PyErr_Format(PyExc_TypeError, "'%.200s' object is unsliceable", (obj)->ob_type->tp_name), (PyObject*)0)))
225  #define __Pyx_PySequence_SetSlice(obj, a, b, value) (unlikely(!(obj)) ? \
226  (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
227  (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_SetSlice(obj, a, b, value)) : \
228  (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice assignment", (obj)->ob_type->tp_name), -1)))
229  #define __Pyx_PySequence_DelSlice(obj, a, b) (unlikely(!(obj)) ? \
230  (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
231  (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_DelSlice(obj, a, b)) : \
232  (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice deletion", (obj)->ob_type->tp_name), -1)))
233 #endif
234 #if PY_MAJOR_VERSION >= 3
235  #define PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func))
236 #endif
237 #if PY_VERSION_HEX < 0x02050000
238  #define __Pyx_GetAttrString(o,n) PyObject_GetAttrString((o),((char *)(n)))
239  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),((char *)(n)),(a))
240  #define __Pyx_DelAttrString(o,n) PyObject_DelAttrString((o),((char *)(n)))
241 #else
242  #define __Pyx_GetAttrString(o,n) PyObject_GetAttrString((o),(n))
243  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),(n),(a))
244  #define __Pyx_DelAttrString(o,n) PyObject_DelAttrString((o),(n))
245 #endif
246 #if PY_VERSION_HEX < 0x02050000
247  #define __Pyx_NAMESTR(n) ((char *)(n))
248  #define __Pyx_DOCSTR(n) ((char *)(n))
249 #else
250  #define __Pyx_NAMESTR(n) (n)
251  #define __Pyx_DOCSTR(n) (n)
252 #endif
253 #ifndef CYTHON_INLINE
254  #if defined(__GNUC__)
255  #define CYTHON_INLINE __inline__
256  #elif defined(_MSC_VER)
257  #define CYTHON_INLINE __inline
258  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
259  #define CYTHON_INLINE inline
260  #else
261  #define CYTHON_INLINE
262  #endif
263 #endif
264 #ifndef CYTHON_RESTRICT
265  #if defined(__GNUC__)
266  #define CYTHON_RESTRICT __restrict__
267  #elif defined(_MSC_VER)
268  #define CYTHON_RESTRICT __restrict
269  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
270  #define CYTHON_RESTRICT restrict
271  #else
272  #define CYTHON_RESTRICT
273  #endif
274 #endif
275 #ifdef NAN
276 #define __PYX_NAN() ((float) NAN)
277 #else
278 static CYTHON_INLINE float __PYX_NAN() {
279  /* Initialize NaN. The sign is irrelevant, an exponent with all bits 1 and
280  a nonzero mantissa means NaN. If the first bit in the mantissa is 1, it is
281  a quiet NaN. */
282  float value;
283  memset(&value, 0xFF, sizeof(value));
284  return value;
285 }
286 #endif
287 
288 
289 #if PY_MAJOR_VERSION >= 3
290  #define __Pyx_PyNumber_Divide(x,y) PyNumber_TrueDivide(x,y)
291  #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceTrueDivide(x,y)
292 #else
293  #define __Pyx_PyNumber_Divide(x,y) PyNumber_Divide(x,y)
294  #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceDivide(x,y)
295 #endif
296 
297 #ifndef __PYX_EXTERN_C
298  #ifdef __cplusplus
299  #define __PYX_EXTERN_C extern "C"
300  #else
301  #define __PYX_EXTERN_C extern
302  #endif
303 #endif
304 
305 #if defined(WIN32) || defined(MS_WINDOWS)
306 #define _USE_MATH_DEFINES
307 #endif
308 #include <math.h>
309 #define __PYX_HAVE__PyClical
310 #define __PYX_HAVE_API__PyClical
311 #include <vector>
312 #include "ios"
313 #include "new"
314 #include "stdexcept"
315 #include "typeinfo"
316 #include "PyClical.h"
317 #ifdef _OPENMP
318 #include <omp.h>
319 #endif /* _OPENMP */
320 
321 #ifdef PYREX_WITHOUT_ASSERTIONS
322 #define CYTHON_WITHOUT_ASSERTIONS
323 #endif
324 
325 #ifndef CYTHON_UNUSED
326 # if defined(__GNUC__)
327 # if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
328 # define CYTHON_UNUSED __attribute__ ((__unused__))
329 # else
330 # define CYTHON_UNUSED
331 # endif
332 # elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
333 # define CYTHON_UNUSED __attribute__ ((__unused__))
334 # else
335 # define CYTHON_UNUSED
336 # endif
337 #endif
338 typedef struct {PyObject **p; char *s; const Py_ssize_t n; const char* encoding;
339  const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /*proto*/
340 
341 #define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
342 #define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
343 #define __PYX_DEFAULT_STRING_ENCODING ""
344 #define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
345 #define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
346 static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*);
347 static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
348 #define __Pyx_PyBytes_FromString PyBytes_FromString
349 #define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
350 static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(char*);
351 #if PY_MAJOR_VERSION < 3
352  #define __Pyx_PyStr_FromString __Pyx_PyBytes_FromString
353  #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
354 #else
355  #define __Pyx_PyStr_FromString __Pyx_PyUnicode_FromString
356  #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
357 #endif
358 #define __Pyx_PyObject_AsUString(s) ((unsigned char*) __Pyx_PyObject_AsString(s))
359 #define __Pyx_PyObject_FromUString(s) __Pyx_PyObject_FromString((char*)s)
360 #define __Pyx_PyBytes_FromUString(s) __Pyx_PyBytes_FromString((char*)s)
361 #define __Pyx_PyStr_FromUString(s) __Pyx_PyStr_FromString((char*)s)
362 #define __Pyx_PyUnicode_FromUString(s) __Pyx_PyUnicode_FromString((char*)s)
363 #if PY_MAJOR_VERSION < 3
364 static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
365 {
366  const Py_UNICODE *u_end = u;
367  while (*u_end++) ;
368  return u_end - u - 1;
369 }
370 #else
371 #define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
372 #endif
373 #define __Pyx_PyUnicode_FromUnicode(u) PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
374 #define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
375 #define __Pyx_PyUnicode_AsUnicode PyUnicode_AsUnicode
376 #define __Pyx_Owned_Py_None(b) (Py_INCREF(Py_None), Py_None)
377 #define __Pyx_PyBool_FromLong(b) ((b) ? (Py_INCREF(Py_True), Py_True) : (Py_INCREF(Py_False), Py_False))
378 static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
379 static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x);
380 static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
381 static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
382 static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject*);
383 #if CYTHON_COMPILING_IN_CPYTHON
384 #define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
385 #else
386 #define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
387 #endif
388 #define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
389 #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
390 static int __Pyx_sys_getdefaultencoding_not_ascii;
391 static int __Pyx_init_sys_getdefaultencoding_params() {
392  PyObject* sys = NULL;
393  PyObject* default_encoding = NULL;
394  PyObject* ascii_chars_u = NULL;
395  PyObject* ascii_chars_b = NULL;
396  sys = PyImport_ImportModule("sys");
397  if (sys == NULL) goto bad;
398  default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
399  if (default_encoding == NULL) goto bad;
400  if (strcmp(PyBytes_AsString(default_encoding), "ascii") == 0) {
401  __Pyx_sys_getdefaultencoding_not_ascii = 0;
402  } else {
403  const char* default_encoding_c = PyBytes_AS_STRING(default_encoding);
404  char ascii_chars[128];
405  int c;
406  for (c = 0; c < 128; c++) {
407  ascii_chars[c] = c;
408  }
409  __Pyx_sys_getdefaultencoding_not_ascii = 1;
410  ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
411  if (ascii_chars_u == NULL) goto bad;
412  ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
413  if (ascii_chars_b == NULL || strncmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
414  PyErr_Format(
415  PyExc_ValueError,
416  "This module compiled with c_string_encoding=ascii, but default encoding '%s' is not a superset of ascii.",
417  default_encoding_c);
418  goto bad;
419  }
420  }
421  Py_XDECREF(sys);
422  Py_XDECREF(default_encoding);
423  Py_XDECREF(ascii_chars_u);
424  Py_XDECREF(ascii_chars_b);
425  return 0;
426 bad:
427  Py_XDECREF(sys);
428  Py_XDECREF(default_encoding);
429  Py_XDECREF(ascii_chars_u);
430  Py_XDECREF(ascii_chars_b);
431  return -1;
432 }
433 #endif
434 #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
435 #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
436 #else
437 #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
438 #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
439 static char* __PYX_DEFAULT_STRING_ENCODING;
440 static int __Pyx_init_sys_getdefaultencoding_params() {
441  PyObject* sys = NULL;
442  PyObject* default_encoding = NULL;
443  char* default_encoding_c;
444  sys = PyImport_ImportModule("sys");
445  if (sys == NULL) goto bad;
446  default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
447  if (default_encoding == NULL) goto bad;
448  default_encoding_c = PyBytes_AS_STRING(default_encoding);
449  __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
450  strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
451  Py_DECREF(sys);
452  Py_DECREF(default_encoding);
453  return 0;
454 bad:
455  Py_XDECREF(sys);
456  Py_XDECREF(default_encoding);
457  return -1;
458 }
459 #endif
460 #endif
461 
462 
463 #ifdef __GNUC__
464  /* Test for GCC > 2.95 */
465  #if __GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95))
466  #define likely(x) __builtin_expect(!!(x), 1)
467  #define unlikely(x) __builtin_expect(!!(x), 0)
468  #else /* __GNUC__ > 2 ... */
469  #define likely(x) (x)
470  #define unlikely(x) (x)
471  #endif /* __GNUC__ > 2 ... */
472 #else /* __GNUC__ */
473  #define likely(x) (x)
474  #define unlikely(x) (x)
475 #endif /* __GNUC__ */
476 
477 static PyObject *__pyx_m;
478 static PyObject *__pyx_d;
479 static PyObject *__pyx_b;
480 static PyObject *__pyx_empty_tuple;
481 static PyObject *__pyx_empty_bytes;
482 static int __pyx_lineno;
483 static int __pyx_clineno = 0;
484 static const char * __pyx_cfilenm= __FILE__;
485 static const char *__pyx_filename;
486 
487 
488 static const char *__pyx_f[] = {
489  "PyClical.pyx",
490 };
491 
492 /*--- Type declarations ---*/
493 struct __pyx_obj_8PyClical_index_set;
494 struct __pyx_obj_8PyClical___pyx_scope_struct____iter__;
495 struct __pyx_obj_8PyClical_clifford;
496 struct __pyx_opt_args_8PyClical_sqrt;
497 struct __pyx_opt_args_8PyClical_log;
498 struct __pyx_opt_args_8PyClical_cos;
499 struct __pyx_opt_args_8PyClical_acos;
500 struct __pyx_opt_args_8PyClical_acosh;
501 struct __pyx_opt_args_8PyClical_sin;
502 struct __pyx_opt_args_8PyClical_asin;
503 struct __pyx_opt_args_8PyClical_asinh;
504 struct __pyx_opt_args_8PyClical_tan;
505 struct __pyx_opt_args_8PyClical_atan;
506 struct __pyx_opt_args_8PyClical_atanh;
507 struct __pyx_opt_args_8PyClical_random_clifford;
508 
509 /* "PyClical.pyx":1542
510  * return clifford().wrap( glucat.complexifier(toClifford(obj)) )
511  *
512  * cpdef inline sqrt(obj, i = None): # <<<<<<<<<<<<<<
513  * """
514  * Square root of multivector with optional complexifier.
515  */
516 struct __pyx_opt_args_8PyClical_sqrt {
517  int __pyx_n;
518  PyObject *i;
519 };
520 
521 /* "PyClical.pyx":1579
522  * return clifford().wrap( glucat.exp(toClifford(obj)) )
523  *
524  * cpdef inline log(obj,i = None): # <<<<<<<<<<<<<<
525  * """
526  * Natural logarithm of multivector with optional complexifier.
527  */
528 struct __pyx_opt_args_8PyClical_log {
529  int __pyx_n;
530  PyObject *i;
531 };
532 
533 /* "PyClical.pyx":1602
534  * return clifford().wrap( glucat.log(toClifford(obj)) )
535  *
536  * cpdef inline cos(obj,i = None): # <<<<<<<<<<<<<<
537  * """
538  * Cosine of multivector with optional complexifier.
539  */
540 struct __pyx_opt_args_8PyClical_cos {
541  int __pyx_n;
542  PyObject *i;
543 };
544 
545 /* "PyClical.pyx":1619
546  * return clifford().wrap( glucat.cos(toClifford(obj)) )
547  *
548  * cpdef inline acos(obj,i = None): # <<<<<<<<<<<<<<
549  * """
550  * Inverse cosine of multivector with optional complexifier.
551  */
552 struct __pyx_opt_args_8PyClical_acos {
553  int __pyx_n;
554  PyObject *i;
555 };
556 
557 /* "PyClical.pyx":1656
558  * return clifford().wrap( glucat.cosh(toClifford(obj)) )
559  *
560  * cpdef inline acosh(obj,i = None): # <<<<<<<<<<<<<<
561  * """
562  * Inverse hyperbolic cosine of multivector with optional complexifier.
563  */
564 struct __pyx_opt_args_8PyClical_acosh {
565  int __pyx_n;
566  PyObject *i;
567 };
568 
569 /* "PyClical.pyx":1679
570  * return clifford().wrap( glucat.acosh(toClifford(obj)) )
571  *
572  * cpdef inline sin(obj,i = None): # <<<<<<<<<<<<<<
573  * """
574  * Sine of multivector with optional complexifier.
575  */
576 struct __pyx_opt_args_8PyClical_sin {
577  int __pyx_n;
578  PyObject *i;
579 };
580 
581 /* "PyClical.pyx":1698
582  * return clifford().wrap( glucat.sin(toClifford(obj)) )
583  *
584  * cpdef inline asin(obj,i = None): # <<<<<<<<<<<<<<
585  * """
586  * Inverse sine of multivector with optional complexifier.
587  */
588 struct __pyx_opt_args_8PyClical_asin {
589  int __pyx_n;
590  PyObject *i;
591 };
592 
593 /* "PyClical.pyx":1733
594  * return clifford().wrap( glucat.sinh(toClifford(obj)) )
595  *
596  * cpdef inline asinh(obj,i = None): # <<<<<<<<<<<<<<
597  * """
598  * Inverse hyperbolic sine of multivector with optional complexifier.
599  */
600 struct __pyx_opt_args_8PyClical_asinh {
601  int __pyx_n;
602  PyObject *i;
603 };
604 
605 /* "PyClical.pyx":1752
606  * return clifford().wrap( glucat.asinh(toClifford(obj)) )
607  *
608  * cpdef inline tan(obj,i = None): # <<<<<<<<<<<<<<
609  * """
610  * Tangent of multivector with optional complexifier.
611  */
612 struct __pyx_opt_args_8PyClical_tan {
613  int __pyx_n;
614  PyObject *i;
615 };
616 
617 /* "PyClical.pyx":1769
618  * return clifford().wrap( glucat.tan(toClifford(obj)) )
619  *
620  * cpdef inline atan(obj,i = None): # <<<<<<<<<<<<<<
621  * """
622  * Inverse tangent of multivector with optional complexifier.
623  */
624 struct __pyx_opt_args_8PyClical_atan {
625  int __pyx_n;
626  PyObject *i;
627 };
628 
629 /* "PyClical.pyx":1798
630  * return clifford().wrap( glucat.tanh(toClifford(obj)) )
631  *
632  * cpdef inline atanh(obj,i = None): # <<<<<<<<<<<<<<
633  * """
634  * Inverse hyperbolic tangent of multivector with optional complexifier.
635  */
636 struct __pyx_opt_args_8PyClical_atanh {
637  int __pyx_n;
638  PyObject *i;
639 };
640 
641 /* "PyClical.pyx":1815
642  * return clifford().wrap( glucat.atanh(toClifford(obj)) )
643  *
644  * cpdef inline random_clifford(index_set ixt, fill = 1.0): # <<<<<<<<<<<<<<
645  * """
646  * Random multivector within a frame.
647  */
648 struct __pyx_opt_args_8PyClical_random_clifford {
649  int __pyx_n;
650  PyObject *fill;
651 };
652 
653 /* "PyClical.pyx":37
654  *
655  * # Forward reference
656  * cdef class index_set # <<<<<<<<<<<<<<
657  *
658  * cdef inline IndexSet toIndexSet(obj):
659  */
660 struct __pyx_obj_8PyClical_index_set {
661  PyObject_HEAD
662  struct __pyx_vtabstruct_8PyClical_index_set *__pyx_vtab;
663  IndexSet *instance;
664 };
665 
666 
667 /* "PyClical.pyx":227
668  * return self.instance.getitem(idx)
669  *
670  * def __iter__(self): # <<<<<<<<<<<<<<
671  * """
672  * Iterate over the indices of an index_set.
673  */
674 struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ {
675  PyObject_HEAD
676  PyObject *__pyx_v_idx;
677  struct __pyx_obj_8PyClical_index_set *__pyx_v_self;
678  PyObject *__pyx_t_0;
679  Py_ssize_t __pyx_t_1;
680  PyObject *(*__pyx_t_2)(PyObject *);
681 };
682 
683 
684 /* "PyClical.pyx":530
685  *
686  * # Forward reference.
687  * cdef class clifford # <<<<<<<<<<<<<<
688  *
689  * cdef inline Clifford toClifford(obj):
690  */
691 struct __pyx_obj_8PyClical_clifford {
692  PyObject_HEAD
693  struct __pyx_vtabstruct_8PyClical_clifford *__pyx_vtab;
694  Clifford *instance;
695 };
696 
697 
698 
699 /* "PyClical.pyx":535
700  * return clifford(obj).instance[0]
701  *
702  * cdef class clifford: # <<<<<<<<<<<<<<
703  * """
704  * Python class clifford wraps C++ class Clifford.
705  */
706 
707 struct __pyx_vtabstruct_8PyClical_clifford {
708  PyObject *(*wrap)(struct __pyx_obj_8PyClical_clifford *, Clifford);
709  Clifford (*unwrap)(struct __pyx_obj_8PyClical_clifford *);
710  PyObject *(*copy)(struct __pyx_obj_8PyClical_clifford *, int __pyx_skip_dispatch);
711 };
712 static struct __pyx_vtabstruct_8PyClical_clifford *__pyx_vtabptr_8PyClical_clifford;
713 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_8clifford_wrap(struct __pyx_obj_8PyClical_clifford *, Clifford);
714 static CYTHON_INLINE Clifford __pyx_f_8PyClical_8clifford_unwrap(struct __pyx_obj_8PyClical_clifford *);
715 
716 
717 /* "PyClical.pyx":45
718  * return index_set(obj).instance[0]
719  *
720  * cdef class index_set: # <<<<<<<<<<<<<<
721  * """
722  * Python class index_set wraps C++ class IndexSet.
723  */
724 
725 struct __pyx_vtabstruct_8PyClical_index_set {
726  PyObject *(*wrap)(struct __pyx_obj_8PyClical_index_set *, IndexSet);
727  IndexSet (*unwrap)(struct __pyx_obj_8PyClical_index_set *);
728  PyObject *(*copy)(struct __pyx_obj_8PyClical_index_set *, int __pyx_skip_dispatch);
729 };
730 static struct __pyx_vtabstruct_8PyClical_index_set *__pyx_vtabptr_8PyClical_index_set;
731 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_9index_set_wrap(struct __pyx_obj_8PyClical_index_set *, IndexSet);
732 static CYTHON_INLINE IndexSet __pyx_f_8PyClical_9index_set_unwrap(struct __pyx_obj_8PyClical_index_set *);
733 #ifndef CYTHON_REFNANNY
734  #define CYTHON_REFNANNY 0
735 #endif
736 #if CYTHON_REFNANNY
737  typedef struct {
738  void (*INCREF)(void*, PyObject*, int);
739  void (*DECREF)(void*, PyObject*, int);
740  void (*GOTREF)(void*, PyObject*, int);
741  void (*GIVEREF)(void*, PyObject*, int);
742  void* (*SetupContext)(const char*, int, const char*);
743  void (*FinishContext)(void**);
744  } __Pyx_RefNannyAPIStruct;
745  static __Pyx_RefNannyAPIStruct *__Pyx_RefNanny = NULL;
746  static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname); /*proto*/
747  #define __Pyx_RefNannyDeclarations void *__pyx_refnanny = NULL;
748 #ifdef WITH_THREAD
749  #define __Pyx_RefNannySetupContext(name, acquire_gil) \
750  if (acquire_gil) { \
751  PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure(); \
752  __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__); \
753  PyGILState_Release(__pyx_gilstate_save); \
754  } else { \
755  __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__); \
756  }
757 #else
758  #define __Pyx_RefNannySetupContext(name, acquire_gil) \
759  __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__)
760 #endif
761  #define __Pyx_RefNannyFinishContext() \
762  __Pyx_RefNanny->FinishContext(&__pyx_refnanny)
763  #define __Pyx_INCREF(r) __Pyx_RefNanny->INCREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
764  #define __Pyx_DECREF(r) __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
765  #define __Pyx_GOTREF(r) __Pyx_RefNanny->GOTREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
766  #define __Pyx_GIVEREF(r) __Pyx_RefNanny->GIVEREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
767  #define __Pyx_XINCREF(r) do { if((r) != NULL) {__Pyx_INCREF(r); }} while(0)
768  #define __Pyx_XDECREF(r) do { if((r) != NULL) {__Pyx_DECREF(r); }} while(0)
769  #define __Pyx_XGOTREF(r) do { if((r) != NULL) {__Pyx_GOTREF(r); }} while(0)
770  #define __Pyx_XGIVEREF(r) do { if((r) != NULL) {__Pyx_GIVEREF(r);}} while(0)
771 #else
772  #define __Pyx_RefNannyDeclarations
773  #define __Pyx_RefNannySetupContext(name, acquire_gil)
774  #define __Pyx_RefNannyFinishContext()
775  #define __Pyx_INCREF(r) Py_INCREF(r)
776  #define __Pyx_DECREF(r) Py_DECREF(r)
777  #define __Pyx_GOTREF(r)
778  #define __Pyx_GIVEREF(r)
779  #define __Pyx_XINCREF(r) Py_XINCREF(r)
780  #define __Pyx_XDECREF(r) Py_XDECREF(r)
781  #define __Pyx_XGOTREF(r)
782  #define __Pyx_XGIVEREF(r)
783 #endif /* CYTHON_REFNANNY */
784 #define __Pyx_CLEAR(r) do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
785 #define __Pyx_XCLEAR(r) do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)
786 
787 #if CYTHON_COMPILING_IN_CPYTHON
788 static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
789  PyTypeObject* tp = Py_TYPE(obj);
790  if (likely(tp->tp_getattro))
791  return tp->tp_getattro(obj, attr_name);
792 #if PY_MAJOR_VERSION < 3
793  if (likely(tp->tp_getattr))
794  return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
795 #endif
796  return PyObject_GetAttr(obj, attr_name);
797 }
798 #else
799 #define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
800 #endif
801 
802 static PyObject *__Pyx_GetBuiltinName(PyObject *name); /*proto*/
803 
804 static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb); /*proto*/
805 static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb); /*proto*/
806 
807 static void __Pyx_WriteUnraisable(const char *name, int clineno,
808  int lineno, const char *filename); /*proto*/
809 
810 static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name); /*proto*/
811 
812 static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[], \
813  PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args, \
814  const char* function_name); /*proto*/
815 
816 static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
817  Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found); /*proto*/
818 
819 static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name); /*proto*/
820 
821 static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb); /*proto*/
822 
823 static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause); /*proto*/
824 
825 static CYTHON_INLINE int __Pyx_PySequence_Contains(PyObject* item, PyObject* seq, int eq) {
826  int result = PySequence_Contains(seq, item);
827  return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
828 }
829 
830 #define __Pyx_SetItemInt(o, i, v, size, to_py_func, is_list, wraparound, boundscheck) \
831  (((size) <= sizeof(Py_ssize_t)) ? \
832  __Pyx_SetItemInt_Fast(o, i, v, is_list, wraparound, boundscheck) : \
833  __Pyx_SetItemInt_Generic(o, to_py_func(i), v))
834 static CYTHON_INLINE int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
835 static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
836  int is_list, int wraparound, int boundscheck);
837 
838 static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
839  const char *name, int exact); /*proto*/
840 
841 #if PY_VERSION_HEX < 0x02050000
842 #ifndef PyAnySet_CheckExact
843 #define PyAnySet_CheckExact(ob) \
844  ((ob)->ob_type == &PySet_Type || \
845  (ob)->ob_type == &PyFrozenSet_Type)
846 #define PySet_New(iterable) \
847  PyObject_CallFunctionObjArgs((PyObject *)&PySet_Type, (iterable), NULL)
848 #define Pyx_PyFrozenSet_New(iterable) \
849  PyObject_CallFunctionObjArgs((PyObject *)&PyFrozenSet_Type, (iterable), NULL)
850 #define PySet_Size(anyset) \
851  PyObject_Size((anyset))
852 #define PySet_Contains(anyset, key) \
853  PySequence_Contains((anyset), (key))
854 #define PySet_Pop(set) \
855  PyObject_CallMethod(set, (char *)"pop", NULL)
856 static CYTHON_INLINE int PySet_Clear(PyObject *set) {
857  PyObject *ret = PyObject_CallMethod(set, (char *)"clear", NULL);
858  if (!ret) return -1;
859  Py_DECREF(ret); return 0;
860 }
861 static CYTHON_INLINE int PySet_Discard(PyObject *set, PyObject *key) {
862  PyObject *ret = PyObject_CallMethod(set, (char *)"discard", (char *)"O", key);
863  if (!ret) return -1;
864  Py_DECREF(ret); return 0;
865 }
866 static CYTHON_INLINE int PySet_Add(PyObject *set, PyObject *key) {
867  PyObject *ret = PyObject_CallMethod(set, (char *)"add", (char *)"O", key);
868  if (!ret) return -1;
869  Py_DECREF(ret); return 0;
870 }
871 #endif /* PyAnySet_CheckExact (<= Py2.4) */
872 #endif /* < Py2.5 */
873 
874 #include <string.h>
875 
876 static int __Pyx_SetVtable(PyObject *dict, void *vtable); /*proto*/
877 
878 static CYTHON_INLINE void __Pyx_ExceptionSave(PyObject **type, PyObject **value, PyObject **tb); /*proto*/
879 static void __Pyx_ExceptionReset(PyObject *type, PyObject *value, PyObject *tb); /*proto*/
880 
881 static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level); /*proto*/
882 
883 #ifndef __Pyx_CppExn2PyErr
884 #include <new>
885 #include <typeinfo>
886 #include <stdexcept>
887 #include <ios>
888 static void __Pyx_CppExn2PyErr() {
889  try {
890  if (PyErr_Occurred())
891  ; // let the latest Python exn pass through and ignore the current one
892  else
893  throw;
894  } catch (const std::bad_alloc& exn) {
895  PyErr_SetString(PyExc_MemoryError, exn.what());
896  } catch (const std::bad_cast& exn) {
897  PyErr_SetString(PyExc_TypeError, exn.what());
898  } catch (const std::domain_error& exn) {
899  PyErr_SetString(PyExc_ValueError, exn.what());
900  } catch (const std::invalid_argument& exn) {
901  PyErr_SetString(PyExc_ValueError, exn.what());
902  } catch (const std::ios_base::failure& exn) {
903  PyErr_SetString(PyExc_IOError, exn.what());
904  } catch (const std::out_of_range& exn) {
905  PyErr_SetString(PyExc_IndexError, exn.what());
906  } catch (const std::overflow_error& exn) {
907  PyErr_SetString(PyExc_OverflowError, exn.what());
908  } catch (const std::range_error& exn) {
909  PyErr_SetString(PyExc_ArithmeticError, exn.what());
910  } catch (const std::underflow_error& exn) {
911  PyErr_SetString(PyExc_ArithmeticError, exn.what());
912  } catch (const std::exception& exn) {
913  PyErr_SetString(PyExc_RuntimeError, exn.what());
914  }
915  catch (...)
916  {
917  PyErr_SetString(PyExc_RuntimeError, "Unknown exception");
918  }
919 }
920 #endif
921 
922 static CYTHON_INLINE unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject *);
923 
924 static CYTHON_INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject *);
925 
926 static CYTHON_INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject *);
927 
928 static CYTHON_INLINE char __Pyx_PyInt_AsChar(PyObject *);
929 
930 static CYTHON_INLINE short __Pyx_PyInt_AsShort(PyObject *);
931 
932 static CYTHON_INLINE int __Pyx_PyInt_AsInt(PyObject *);
933 
934 static CYTHON_INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject *);
935 
936 static CYTHON_INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject *);
937 
938 static CYTHON_INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject *);
939 
940 static CYTHON_INLINE int __Pyx_PyInt_AsLongDouble(PyObject *);
941 
942 static CYTHON_INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject *);
943 
944 static CYTHON_INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject *);
945 
946 static CYTHON_INLINE long __Pyx_PyInt_AsLong(PyObject *);
947 
948 static CYTHON_INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject *);
949 
950 static CYTHON_INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject *);
951 
952 static CYTHON_INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject *);
953 
954 static PyObject* __Pyx_PyObject_CallMethodTuple(PyObject* obj, PyObject* method_name, PyObject* args) {
955  PyObject *method, *result = NULL;
956  if (unlikely(!args)) return NULL;
957  method = __Pyx_PyObject_GetAttrStr(obj, method_name);
958  if (unlikely(!method)) goto bad;
959  result = PyObject_Call(method, args, NULL);
960  Py_DECREF(method);
961 bad:
962  Py_DECREF(args);
963  return result;
964 }
965 #define __Pyx_PyObject_CallMethod3(obj, name, arg1, arg2, arg3) \
966  __Pyx_PyObject_CallMethodTuple(obj, name, PyTuple_Pack(3, arg1, arg2, arg3))
967 #define __Pyx_PyObject_CallMethod2(obj, name, arg1, arg2) \
968  __Pyx_PyObject_CallMethodTuple(obj, name, PyTuple_Pack(2, arg1, arg2))
969 #define __Pyx_PyObject_CallMethod1(obj, name, arg1) \
970  __Pyx_PyObject_CallMethodTuple(obj, name, PyTuple_Pack(1, arg1))
971 #define __Pyx_PyObject_CallMethod0(obj, name) \
972  __Pyx_PyObject_CallMethodTuple(obj, name, (Py_INCREF(__pyx_empty_tuple), __pyx_empty_tuple))
973 
974 static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb); /*proto*/
975 
976 #define __Pyx_Generator_USED
977 #include <structmember.h>
978 #include <frameobject.h>
979 typedef PyObject *(*__pyx_generator_body_t)(PyObject *, PyObject *);
980 typedef struct {
981  PyObject_HEAD
982  __pyx_generator_body_t body;
983  PyObject *closure;
984  PyObject *exc_type;
985  PyObject *exc_value;
986  PyObject *exc_traceback;
987  PyObject *gi_weakreflist;
988  PyObject *classobj;
989  PyObject *yieldfrom;
990  int resume_label;
991  char is_running; // using T_BOOL for property below requires char value
992 } __pyx_GeneratorObject;
993 static __pyx_GeneratorObject *__Pyx_Generator_New(__pyx_generator_body_t body,
994  PyObject *closure);
995 static int __pyx_Generator_init(void);
996 static int __Pyx_Generator_clear(PyObject* self);
997 #if 1 || PY_VERSION_HEX < 0x030300B0
998 static int __Pyx_PyGen_FetchStopIterationValue(PyObject **pvalue);
999 #else
1000 #define __Pyx_PyGen_FetchStopIterationValue(pvalue) PyGen_FetchStopIterationValue(pvalue)
1001 #endif
1002 
1003 static int __Pyx_check_binary_version(void);
1004 
1005 typedef struct {
1006  int code_line;
1007  PyCodeObject* code_object;
1008 } __Pyx_CodeObjectCacheEntry;
1009 struct __Pyx_CodeObjectCache {
1010  int count;
1011  int max_count;
1012  __Pyx_CodeObjectCacheEntry* entries;
1013 };
1014 static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
1015 static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
1016 static PyCodeObject *__pyx_find_code_object(int code_line);
1017 static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
1018 
1019 static void __Pyx_AddTraceback(const char *funcname, int c_line,
1020  int py_line, const char *filename); /*proto*/
1021 
1022 static int __Pyx_InitStrings(__Pyx_StringTabEntry *t); /*proto*/
1023 
1024 
1025 /* Module declarations from 'libcpp.vector' */
1026 
1027 /* Module declarations from 'glucat' */
1028 
1029 /* Module declarations from 'PyClical' */
1030 static PyTypeObject *__pyx_ptype_8PyClical_index_set = 0;
1031 static PyTypeObject *__pyx_ptype_8PyClical___pyx_scope_struct____iter__ = 0;
1032 static PyTypeObject *__pyx_ptype_8PyClical_clifford = 0;
1033 static CYTHON_INLINE IndexSet __pyx_f_8PyClical_toIndexSet(PyObject *); /*proto*/
1034 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_compare(PyObject *, PyObject *, int __pyx_skip_dispatch); /*proto*/
1035 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_min_neg(PyObject *, int __pyx_skip_dispatch); /*proto*/
1036 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_max_pos(PyObject *, int __pyx_skip_dispatch); /*proto*/
1037 static CYTHON_INLINE std::vector<scalar_t> __pyx_f_8PyClical_list_to_vector(PyObject *); /*proto*/
1038 static CYTHON_INLINE Clifford __pyx_f_8PyClical_toClifford(PyObject *); /*proto*/
1039 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_inv(PyObject *, int __pyx_skip_dispatch); /*proto*/
1040 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_scalar(PyObject *, int __pyx_skip_dispatch); /*proto*/
1041 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_real(PyObject *, int __pyx_skip_dispatch); /*proto*/
1042 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_imag(PyObject *, int __pyx_skip_dispatch); /*proto*/
1043 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_pure(PyObject *, int __pyx_skip_dispatch); /*proto*/
1044 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_even(PyObject *, int __pyx_skip_dispatch); /*proto*/
1045 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_odd(PyObject *, int __pyx_skip_dispatch); /*proto*/
1046 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_involute(PyObject *, int __pyx_skip_dispatch); /*proto*/
1047 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_reverse(PyObject *, int __pyx_skip_dispatch); /*proto*/
1048 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_conj(PyObject *, int __pyx_skip_dispatch); /*proto*/
1049 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_quad(PyObject *, int __pyx_skip_dispatch); /*proto*/
1050 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_norm(PyObject *, int __pyx_skip_dispatch); /*proto*/
1051 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_abs(PyObject *, int __pyx_skip_dispatch); /*proto*/
1052 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_max_abs(PyObject *, int __pyx_skip_dispatch); /*proto*/
1053 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_pow(PyObject *, PyObject *, int __pyx_skip_dispatch); /*proto*/
1054 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_outer_pow(PyObject *, PyObject *, int __pyx_skip_dispatch); /*proto*/
1055 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_complexifier(PyObject *, int __pyx_skip_dispatch); /*proto*/
1056 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sqrt(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_sqrt *__pyx_optional_args); /*proto*/
1057 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_exp(PyObject *, int __pyx_skip_dispatch); /*proto*/
1058 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_log(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_log *__pyx_optional_args); /*proto*/
1059 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cos(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_cos *__pyx_optional_args); /*proto*/
1060 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_acos(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_acos *__pyx_optional_args); /*proto*/
1061 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cosh(PyObject *, int __pyx_skip_dispatch); /*proto*/
1062 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_acosh(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_acosh *__pyx_optional_args); /*proto*/
1063 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sin(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_sin *__pyx_optional_args); /*proto*/
1064 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_asin(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_asin *__pyx_optional_args); /*proto*/
1065 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sinh(PyObject *, int __pyx_skip_dispatch); /*proto*/
1066 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_asinh(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_asinh *__pyx_optional_args); /*proto*/
1067 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_tan(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_tan *__pyx_optional_args); /*proto*/
1068 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_atan(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_atan *__pyx_optional_args); /*proto*/
1069 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_tanh(PyObject *, int __pyx_skip_dispatch); /*proto*/
1070 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_atanh(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_atanh *__pyx_optional_args); /*proto*/
1071 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); /*proto*/
1072 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cga3(PyObject *, int __pyx_skip_dispatch); /*proto*/
1073 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cga3std(PyObject *, int __pyx_skip_dispatch); /*proto*/
1074 static CYTHON_INLINE PyObject *__pyx_f_8PyClical_agc3(PyObject *, int __pyx_skip_dispatch); /*proto*/
1075 #define __Pyx_MODULE_NAME "PyClical"
1076 int __pyx_module_is_main_PyClical = 0;
1077 
1078 /* Implementation of 'PyClical' */
1079 static PyObject *__pyx_builtin_IndexError;
1080 static PyObject *__pyx_builtin_RuntimeError;
1081 static PyObject *__pyx_builtin_TypeError;
1082 static PyObject *__pyx_builtin_ValueError;
1083 static PyObject *__pyx_builtin_NotImplemented;
1084 static PyObject *__pyx_builtin_range;
1085 static PyObject *__pyx_builtin_xrange;
1086 static PyObject *__pyx_pf_8PyClical_9index_set_copy(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1087 static int __pyx_pf_8PyClical_9index_set_2__cinit__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
1088 static void __pyx_pf_8PyClical_9index_set_4__dealloc__(CYTHON_UNUSED struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1089 static PyObject *__pyx_pf_8PyClical_9index_set_6__richcmp__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs, int __pyx_v_op); /* proto */
1090 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); /* proto */
1091 static PyObject *__pyx_pf_8PyClical_9index_set_10__getitem__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx); /* proto */
1092 static int __pyx_pf_8PyClical_9index_set_12__contains__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx); /* proto */
1093 static PyObject *__pyx_pf_8PyClical_9index_set_14__iter__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1094 static PyObject *__pyx_pf_8PyClical_9index_set_17__invert__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1095 static PyObject *__pyx_pf_8PyClical_9index_set_19__xor__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
1096 static PyObject *__pyx_pf_8PyClical_9index_set_21__ixor__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
1097 static PyObject *__pyx_pf_8PyClical_9index_set_23__and__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
1098 static PyObject *__pyx_pf_8PyClical_9index_set_25__iand__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
1099 static PyObject *__pyx_pf_8PyClical_9index_set_27__or__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
1100 static PyObject *__pyx_pf_8PyClical_9index_set_29__ior__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
1101 static PyObject *__pyx_pf_8PyClical_9index_set_31count(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1102 static PyObject *__pyx_pf_8PyClical_9index_set_33count_neg(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1103 static PyObject *__pyx_pf_8PyClical_9index_set_35count_pos(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1104 static PyObject *__pyx_pf_8PyClical_9index_set_37min(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1105 static PyObject *__pyx_pf_8PyClical_9index_set_39max(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1106 static PyObject *__pyx_pf_8PyClical_9index_set_41hash_fn(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1107 static PyObject *__pyx_pf_8PyClical_9index_set_43sign_of_mult(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
1108 static PyObject *__pyx_pf_8PyClical_9index_set_45sign_of_square(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1109 static PyObject *__pyx_pf_8PyClical_9index_set_47__repr__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1110 static PyObject *__pyx_pf_8PyClical_9index_set_49__str__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
1111 static PyObject *__pyx_pf_8PyClical_index_set_hidden_doctests(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
1112 static PyObject *__pyx_pf_8PyClical_2compare(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
1113 static PyObject *__pyx_pf_8PyClical_4min_neg(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1114 static PyObject *__pyx_pf_8PyClical_6max_pos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1115 static PyObject *__pyx_pf_8PyClical_8clifford_copy(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1116 static int __pyx_pf_8PyClical_8clifford_2__cinit__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_other, PyObject *__pyx_v_ixt); /* proto */
1117 static void __pyx_pf_8PyClical_8clifford_4__dealloc__(CYTHON_UNUSED struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1118 static int __pyx_pf_8PyClical_8clifford_6__contains__(CYTHON_UNUSED struct __pyx_obj_8PyClical_clifford *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_x); /* proto */
1119 static PyObject *__pyx_pf_8PyClical_8clifford_8__iter__(CYTHON_UNUSED struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1120 static PyObject *__pyx_pf_8PyClical_8clifford_10reframe(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_ixt); /* proto */
1121 static PyObject *__pyx_pf_8PyClical_8clifford_12__richcmp__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs, int __pyx_v_op); /* proto */
1122 static PyObject *__pyx_pf_8PyClical_8clifford_14__getitem__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_ixt); /* proto */
1123 static PyObject *__pyx_pf_8PyClical_8clifford_16__neg__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1124 static PyObject *__pyx_pf_8PyClical_8clifford_18__pos__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1125 static PyObject *__pyx_pf_8PyClical_8clifford_20__add__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
1126 static PyObject *__pyx_pf_8PyClical_8clifford_22__iadd__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
1127 static PyObject *__pyx_pf_8PyClical_8clifford_24__sub__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
1128 static PyObject *__pyx_pf_8PyClical_8clifford_26__isub__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
1129 static PyObject *__pyx_pf_8PyClical_8clifford_28__mul__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
1130 static PyObject *__pyx_pf_8PyClical_8clifford_30__imul__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
1131 static PyObject *__pyx_pf_8PyClical_8clifford_32__mod__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
1132 static PyObject *__pyx_pf_8PyClical_8clifford_34__imod__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
1133 static PyObject *__pyx_pf_8PyClical_8clifford_36__and__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
1134 static PyObject *__pyx_pf_8PyClical_8clifford_38__iand__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
1135 static PyObject *__pyx_pf_8PyClical_8clifford_40__xor__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
1136 static PyObject *__pyx_pf_8PyClical_8clifford_42__ixor__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
1137 #if PY_MAJOR_VERSION < 3
1138 static PyObject *__pyx_pf_8PyClical_8clifford_44__div__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
1139 #endif
1140 #if PY_MAJOR_VERSION < 3
1141 static PyObject *__pyx_pf_8PyClical_8clifford_46__idiv__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
1142 #endif
1143 static PyObject *__pyx_pf_8PyClical_8clifford_48inv(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1144 static PyObject *__pyx_pf_8PyClical_8clifford_50__or__(PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
1145 static PyObject *__pyx_pf_8PyClical_8clifford_52__ior__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
1146 static PyObject *__pyx_pf_8PyClical_8clifford_54__pow__(PyObject *__pyx_v_self, PyObject *__pyx_v_m, CYTHON_UNUSED PyObject *__pyx_v_dummy); /* proto */
1147 static PyObject *__pyx_pf_8PyClical_8clifford_56pow(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_m); /* proto */
1148 static PyObject *__pyx_pf_8PyClical_8clifford_58outer_pow(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_m); /* proto */
1149 static PyObject *__pyx_pf_8PyClical_8clifford_60__call__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_grade); /* proto */
1150 static PyObject *__pyx_pf_8PyClical_8clifford_62scalar(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1151 static PyObject *__pyx_pf_8PyClical_8clifford_64pure(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1152 static PyObject *__pyx_pf_8PyClical_8clifford_66even(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1153 static PyObject *__pyx_pf_8PyClical_8clifford_68odd(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1154 static PyObject *__pyx_pf_8PyClical_8clifford_70vector_part(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_frm); /* proto */
1155 static PyObject *__pyx_pf_8PyClical_8clifford_72involute(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1156 static PyObject *__pyx_pf_8PyClical_8clifford_74reverse(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1157 static PyObject *__pyx_pf_8PyClical_8clifford_76conj(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1158 static PyObject *__pyx_pf_8PyClical_8clifford_78quad(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1159 static PyObject *__pyx_pf_8PyClical_8clifford_80norm(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1160 static PyObject *__pyx_pf_8PyClical_8clifford_82abs(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1161 static PyObject *__pyx_pf_8PyClical_8clifford_84max_abs(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1162 static PyObject *__pyx_pf_8PyClical_8clifford_86truncated(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_limit); /* proto */
1163 static PyObject *__pyx_pf_8PyClical_8clifford_88isnan(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1164 static PyObject *__pyx_pf_8PyClical_8clifford_90frame(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1165 static PyObject *__pyx_pf_8PyClical_8clifford_92__repr__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1166 static PyObject *__pyx_pf_8PyClical_8clifford_94__str__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
1167 static PyObject *__pyx_pf_8PyClical_8clifford_hidden_doctests(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
1168 static PyObject *__pyx_pf_8PyClical_10inv(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1169 static PyObject *__pyx_pf_8PyClical_12scalar(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1170 static PyObject *__pyx_pf_8PyClical_14real(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1171 static PyObject *__pyx_pf_8PyClical_16imag(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1172 static PyObject *__pyx_pf_8PyClical_18pure(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1173 static PyObject *__pyx_pf_8PyClical_20even(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1174 static PyObject *__pyx_pf_8PyClical_22odd(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1175 static PyObject *__pyx_pf_8PyClical_24involute(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1176 static PyObject *__pyx_pf_8PyClical_26reverse(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1177 static PyObject *__pyx_pf_8PyClical_28conj(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1178 static PyObject *__pyx_pf_8PyClical_30quad(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1179 static PyObject *__pyx_pf_8PyClical_32norm(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1180 static PyObject *__pyx_pf_8PyClical_34abs(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1181 static PyObject *__pyx_pf_8PyClical_36max_abs(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1182 static PyObject *__pyx_pf_8PyClical_38pow(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_m); /* proto */
1183 static PyObject *__pyx_pf_8PyClical_40outer_pow(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_m); /* proto */
1184 static PyObject *__pyx_pf_8PyClical_42complexifier(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1185 static PyObject *__pyx_pf_8PyClical_44sqrt(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
1186 static PyObject *__pyx_pf_8PyClical_46exp(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1187 static PyObject *__pyx_pf_8PyClical_48log(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
1188 static PyObject *__pyx_pf_8PyClical_50cos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
1189 static PyObject *__pyx_pf_8PyClical_52acos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
1190 static PyObject *__pyx_pf_8PyClical_54cosh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1191 static PyObject *__pyx_pf_8PyClical_56acosh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
1192 static PyObject *__pyx_pf_8PyClical_58sin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
1193 static PyObject *__pyx_pf_8PyClical_60asin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
1194 static PyObject *__pyx_pf_8PyClical_62sinh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1195 static PyObject *__pyx_pf_8PyClical_64asinh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
1196 static PyObject *__pyx_pf_8PyClical_66tan(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
1197 static PyObject *__pyx_pf_8PyClical_68atan(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
1198 static PyObject *__pyx_pf_8PyClical_70tanh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1199 static PyObject *__pyx_pf_8PyClical_72atanh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
1200 static PyObject *__pyx_pf_8PyClical_74random_clifford(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_8PyClical_index_set *__pyx_v_ixt, PyObject *__pyx_v_fill); /* proto */
1201 static PyObject *__pyx_pf_8PyClical_76cga3(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1202 static PyObject *__pyx_pf_8PyClical_78cga3std(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1203 static PyObject *__pyx_pf_8PyClical_80agc3(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1204 static PyObject *__pyx_pf_8PyClical_82e(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
1205 static PyObject *__pyx_pf_8PyClical_84istpq(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_p, PyObject *__pyx_v_q); /* proto */
1206 static PyObject *__pyx_pf_8PyClical_86_test(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
1207 static PyObject *__pyx_tp_new_8PyClical_index_set(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
1208 static PyObject *__pyx_tp_new_8PyClical___pyx_scope_struct____iter__(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
1209 static PyObject *__pyx_tp_new_8PyClical_clifford(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
1210 static char __pyx_k_1[] = "Cannot initialize index_set object from";
1211 static char __pyx_k_2[] = " invalid ";
1212 static char __pyx_k_3[] = ".";
1213 static char __pyx_k_4[] = " invalid string ";
1214 static char __pyx_k_5[] = " ";
1215 static char __pyx_k_6[] = "Cannot initialize clifford object from";
1216 static char __pyx_k_7[] = " value ";
1217 static char __pyx_k_8[] = ":";
1218 static char __pyx_k_9[] = "\n\t";
1219 static char __pyx_k_10[] = " (";
1220 static char __pyx_k_11[] = ", ";
1221 static char __pyx_k_12[] = ").";
1222 static char __pyx_k_13[] = "Not applicable.";
1223 static char __pyx_k_16[] = "Cannot reframe";
1224 static char __pyx_k_17[] = " from ";
1225 static char __pyx_k_18[] = " to frame ";
1226 static char __pyx_k_19[] = " using (";
1227 static char __pyx_k_20[] = "This comparison operator is not implemented for ";
1228 static char __pyx_k_21[] = "Cannot take vector part of ";
1229 static char __pyx_k_22[] = " using invalid ";
1230 static char __pyx_k_23[] = " as frame:\n\t";
1231 static char __pyx_k_25[] = "0.8.2";
1232 static char __pyx_k_27[] = "index_set_hidden_doctests";
1233 static char __pyx_k_28[] = "/home/abuild/rpmbuild/BUILD/glucat-0.8.2/pyclical/PyClical.pyx";
1234 static char __pyx_k_30[] = "clifford_hidden_doctests";
1235 static char __pyx_k_41[] = "index_set.copy (line 64)";
1236 static char __pyx_k_42[] = "\n Copy this index_set object.\n\n >>> s=index_set(1); t=s.copy(); print t\n {1}\n ";
1237 static char __pyx_k_43[] = "index_set.__setitem__ (line 177)";
1238 static char __pyx_k_44[] = "\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 ";
1239 static char __pyx_k_45[] = "index_set.__getitem__ (line 189)";
1240 static char __pyx_k_46[] = "\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 ";
1241 static char __pyx_k_47[] = "index_set.__iter__ (line 227)";
1242 static char __pyx_k_48[] = "\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 ";
1243 static char __pyx_k_49[] = "index_set.__invert__ (line 238)";
1244 static char __pyx_k_50[] = "\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 ";
1245 static char __pyx_k_51[] = "index_set.__xor__ (line 247)";
1246 static char __pyx_k_52[] = "\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 ";
1247 static char __pyx_k_53[] = "index_set.__ixor__ (line 258)";
1248 static char __pyx_k_54[] = "\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 ";
1249 static char __pyx_k_55[] = "index_set.__and__ (line 269)";
1250 static char __pyx_k_56[] = "\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 ";
1251 static char __pyx_k_57[] = "index_set.__iand__ (line 280)";
1252 static char __pyx_k_58[] = "\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 ";
1253 static char __pyx_k_59[] = "index_set.__or__ (line 291)";
1254 static char __pyx_k_60[] = "\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 ";
1255 static char __pyx_k_61[] = "index_set.__ior__ (line 302)";
1256 static char __pyx_k_62[] = "\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 ";
1257 static char __pyx_k_63[] = "index_set.count (line 313)";
1258 static char __pyx_k_64[] = "\n Cardinality: Number of indices included in set.\n\n >>> index_set({-1,1,2}).count()\n 3\n ";
1259 static char __pyx_k_65[] = "index_set.count_neg (line 322)";
1260 static char __pyx_k_66[] = "\n Number of negative indices included in set.\n\n >>> index_set({-1,1,2}).count_neg()\n 1\n ";
1261 static char __pyx_k_67[] = "index_set.count_pos (line 331)";
1262 static char __pyx_k_68[] = "\n Number of positive indices included in set.\n\n >>> index_set({-1,1,2}).count_pos()\n 2\n ";
1263 static char __pyx_k_69[] = "index_set.min (line 340)";
1264 static char __pyx_k_70[] = "\n Minimum member.\n\n >>> index_set({-1,1,2}).min()\n -1\n ";
1265 static char __pyx_k_71[] = "index_set.max (line 349)";
1266 static char __pyx_k_72[] = "\n Maximum member.\n\n >>> index_set({-1,1,2}).max()\n 2\n ";
1267 static char __pyx_k_73[] = "index_set.sign_of_mult (line 364)";
1268 static char __pyx_k_74[] = "\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 ";
1269 static char __pyx_k_75[] = "index_set.sign_of_square (line 373)";
1270 static char __pyx_k_76[] = "\n Sign of geometric square of a Clifford basis element.\n\n >>> s = index_set({1,2}); s.sign_of_square()\n -1\n ";
1271 static char __pyx_k_77[] = "index_set.__repr__ (line 382)";
1272 static char __pyx_k_78[] = "\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 ";
1273 static char __pyx_k_79[] = "index_set.__str__ (line 393)";
1274 static char __pyx_k_80[] = "\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 ";
1275 static char __pyx_k_81[] = "index_set_hidden_doctests (line 404)";
1276 static char __pyx_k_82[] = "\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 ";
1277  static char __pyx_k_83[] = "compare (line 490)";
1278  static char __pyx_k_84[] = "\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 ";
1279  static char __pyx_k_85[] = "min_neg (line 502)";
1280  static char __pyx_k_86[] = "\n Minimum negative index, or 0 if none.\n\n >>> min_neg(index_set({1,2}))\n 0\n ";
1281  static char __pyx_k_87[] = "max_pos (line 511)";
1282  static char __pyx_k_88[] = "\n Maximum positive index, or 0 if none.\n\n >>> max_pos(index_set({1,2}))\n 2\n ";
1283  static char __pyx_k_89[] = "clifford.copy (line 554)";
1284  static char __pyx_k_90[] = "\n Copy this clifford object.\n\n >>> x=clifford(\"1{2}\"); y=x.copy(); print y\n {2}\n ";
1285  static char __pyx_k_91[] = "clifford.__iter__ (line 637)";
1286  static char __pyx_k_92[] = "\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 ";
1287  static char __pyx_k_93[] = "clifford.reframe (line 648)";
1288  static char __pyx_k_94[] = "\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 ";
1289  static char __pyx_k_95[] = "clifford.__getitem__ (line 706)";
1290  static char __pyx_k_96[] = "\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 ";
1291  static char __pyx_k_97[] = "clifford.__neg__ (line 721)";
1292  static char __pyx_k_98[] = "\n Unary -.\n\n >>> print -clifford(\"{1}\")\n -{1}\n ";
1293  static char __pyx_k_99[] = "clifford.__pos__ (line 730)";
1294  static char __pyx_k__e[] = "e";
1295  static char __pyx_k__i[] = "i";
1296  static char __pyx_k__m[] = "m";
1297  static char __pyx_k__p[] = "p";
1298  static char __pyx_k__q[] = "q";
1299  static char __pyx_k_100[] = "\n Unary +.\n\n >>> print +clifford(\"{1}\")\n {1}\n ";
1300  static char __pyx_k_101[] = "clifford.__add__ (line 739)";
1301  static char __pyx_k_102[] = "\n Geometric sum.\n\n >>> print clifford(1) + clifford(\"{2}\")\n 1+{2}\n >>> print clifford(\"{1}\") + clifford(\"{2}\")\n {1}+{2}\n ";
1302  static char __pyx_k_103[] = "clifford.__iadd__ (line 750)";
1303  static char __pyx_k_104[] = "\n Geometric sum.\n\n >>> x = clifford(1); x += clifford(\"{2}\"); print x\n 1+{2}\n ";
1304  static char __pyx_k_105[] = "clifford.__sub__ (line 759)";
1305  static char __pyx_k_106[] = "\n Geometric difference.\n\n >>> print clifford(1) - clifford(\"{2}\")\n 1-{2}\n >>> print clifford(\"{1}\") - clifford(\"{2}\")\n {1}-{2}\n ";
1306  static char __pyx_k_107[] = "clifford.__isub__ (line 770)";
1307  static char __pyx_k_108[] = "\n Geometric difference.\n\n >>> x = clifford(1); x -= clifford(\"{2}\"); print x\n 1-{2}\n ";
1308  static char __pyx_k_109[] = "clifford.__mul__ (line 779)";
1309  static char __pyx_k_110[] = "\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 ";
1310  static char __pyx_k_111[] = "clifford.__imul__ (line 792)";
1311  static char __pyx_k_112[] = "\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 ";
1312  static char __pyx_k_113[] = "clifford.__mod__ (line 805)";
1313  static char __pyx_k_114[] = "\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 ";
1314  static char __pyx_k_115[] = "clifford.__imod__ (line 820)";
1315  static char __pyx_k_116[] = "\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 ";
1316  static char __pyx_k_117[] = "clifford.__and__ (line 835)";
1317  static char __pyx_k_118[] = "\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 ";
1318  static char __pyx_k_119[] = "clifford.__iand__ (line 850)";
1319  static char __pyx_k_120[] = "\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 ";
1320  static char __pyx_k_121[] = "clifford.__xor__ (line 865)";
1321  static char __pyx_k_122[] = "\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 ";
1322  static char __pyx_k_123[] = "clifford.__ixor__ (line 880)";
1323  static char __pyx_k_124[] = "\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 ";
1324  static char __pyx_k_125[] = "clifford.__div__ (line 895)";
1325  static char __pyx_k_126[] = "\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 ";
1326  static char __pyx_k_127[] = "clifford.__idiv__ (line 910)";
1327  static char __pyx_k_128[] = "\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 ";
1328  static char __pyx_k_129[] = "clifford.inv (line 925)";
1329  static char __pyx_k_130[] = "\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 ";
1330  static char __pyx_k_131[] = "clifford.__or__ (line 938)";
1331  static char __pyx_k_132[] = "\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 ";
1332  static char __pyx_k_133[] = "clifford.__ior__ (line 949)";
1333  static char __pyx_k_134[] = "\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 ";
1334  static char __pyx_k_135[] = "clifford.__pow__ (line 960)";
1335  static char __pyx_k_136[] = "\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 ";
1336  static char __pyx_k_137[] = "clifford.pow (line 979)";
1337  static char __pyx_k_138[] = "\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 ";
1338  static char __pyx_k_139[] = "clifford.outer_pow (line 1003)";
1339  static char __pyx_k_140[] = "\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 ";
1340  static char __pyx_k_141[] = "clifford.__call__ (line 1019)";
1341  static char __pyx_k_142[] = "\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 ";
1342  static char __pyx_k_143[] = "clifford.scalar (line 1038)";
1343  static char __pyx_k_144[] = "\n Scalar part.\n\n >>> clifford(\"1+{1}+{1,2}\").scalar()\n 1.0\n >>> clifford(\"{1,2}\").scalar()\n 0.0\n ";
1344  static char __pyx_k_145[] = "clifford.pure (line 1049)";
1345  static char __pyx_k_146[] = "\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 ";
1346  static char __pyx_k_147[] = "clifford.even (line 1060)";
1347  static char __pyx_k_148[] = "\n Even part of multivector, sum of even grade terms.\n\n >>> print clifford(\"1+{1}+{1,2}\").even()\n 1+{1,2}\n ";
1348  static char __pyx_k_149[] = "clifford.odd (line 1069)";
1349  static char __pyx_k_150[] = "\n Odd part of multivector, sum of odd grade terms.\n\n >>> print clifford(\"1+{1}+{1,2}\").odd()\n {1}\n ";
1350  static char __pyx_k_151[] = "clifford.vector_part (line 1078)";
1351  static char __pyx_k_152[] = "\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 ";
1352  static char __pyx_k_153[] = "clifford.involute (line 1106)";
1353  static char __pyx_k_154[] = "\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 ";
1354  static char __pyx_k_155[] = "clifford.reverse (line 1122)";
1355  static char __pyx_k_156[] = "\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 ";
1356  static char __pyx_k_157[] = "clifford.conj (line 1137)";
1357  static char __pyx_k_158[] = "\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 ";
1358  static char __pyx_k_159[] = "clifford.quad (line 1152)";
1359  static char __pyx_k_160[] = "\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 ";
1360  static char __pyx_k_161[] = "clifford.norm (line 1163)";
1361  static char __pyx_k_162[] = "\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 ";
1362  static char __pyx_k_163[] = "clifford.abs (line 1174)";
1363  static char __pyx_k_164[] = "\n Absolute value: square root of norm.\n\n >>> clifford(\"1+{-1}+{1,2}+{1,2,3}\").abs()\n 2.0\n ";
1364  static char __pyx_k_165[] = "clifford.max_abs (line 1183)";
1365  static char __pyx_k_166[] = "\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 ";
1366  static char __pyx_k_167[] = "clifford.truncated (line 1194)";
1367  static char __pyx_k_168[] = "\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 ";
1368  static char __pyx_k_169[] = "clifford.isnan (line 1205)";
1369  static char __pyx_k_170[] = "\n Check if a multivector contains any IEEE NaN values.\n\n >>> clifford().isnan()\n False\n ";
1370  static char __pyx_k_171[] = "clifford.frame (line 1214)";
1371  static char __pyx_k_172[] = "\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 ";
1372  static char __pyx_k_173[] = "clifford.__repr__ (line 1225)";
1373  static char __pyx_k_174[] = "\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 ";
1374  static char __pyx_k_175[] = "clifford.__str__ (line 1234)";
1375  static char __pyx_k_176[] = "\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 ";
1376  static char __pyx_k_177[] = "clifford_hidden_doctests (line 1243)";
1377  static char __pyx_k_178[] = "\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 ";
1378  static char __pyx_k_179[] = "inv (line 1329)";
1379  static char __pyx_k_180[] = "\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 ";
1380  static char __pyx_k_181[] = "scalar (line 1344)";
1381  static char __pyx_k_182[] = "\n Scalar part.\n\n >>> scalar(clifford(\"1+{1}+{1,2}\"))\n 1.0\n >>> scalar(clifford(\"{1,2}\"))\n 0.0\n ";
1382  static char __pyx_k_183[] = "real (line 1355)";
1383  static char __pyx_k_184[] = "\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 ";
1384  static char __pyx_k_185[] = "imag (line 1366)";
1385  static char __pyx_k_186[] = "\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 ";
1386  static char __pyx_k_187[] = "pure (line 1377)";
1387  static char __pyx_k_188[] = "\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 ";
1388  static char __pyx_k_189[] = "even (line 1388)";
1389  static char __pyx_k_190[] = "\n Even part of multivector, sum of even grade terms.\n\n >>> print even(clifford(\"1+{1}+{1,2}\"))\n 1+{1,2}\n ";
1390  static char __pyx_k_191[] = "odd (line 1397)";
1391  static char __pyx_k_192[] = "\n Odd part of multivector, sum of odd grade terms.\n\n >>> print odd(clifford(\"1+{1}+{1,2}\"))\n {1}\n ";
1392  static char __pyx_k_193[] = "involute (line 1406)";
1393  static char __pyx_k_194[] = "\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 ";
1394  static char __pyx_k_195[] = "reverse (line 1421)";
1395  static char __pyx_k_196[] = "\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 ";
1396  static char __pyx_k_197[] = "conj (line 1436)";
1397  static char __pyx_k_198[] = "\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 ";
1398  static char __pyx_k_199[] = "quad (line 1451)";
1399  static char __pyx_k_200[] = "\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 ";
1400  static char __pyx_k_201[] = "norm (line 1462)";
1401  static char __pyx_k_202[] = "\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 ";
1402  static char __pyx_k_203[] = "abs (line 1473)";
1403  static char __pyx_k_204[] = "\n Absolute value of multivector: multivector 2-norm.\n\n >>> abs(clifford(\"1+{-1}+{1,2}+{1,2,3}\"))\n 2.0\n ";
1404  static char __pyx_k_205[] = "max_abs (line 1482)";
1405  static char __pyx_k_206[] = "\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 ";
1406  static char __pyx_k_207[] = "pow (line 1494)";
1407  static char __pyx_k_208[] = "\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 ";
1408  static char __pyx_k_209[] = "outer_pow (line 1518)";
1409  static char __pyx_k_210[] = "\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 ";
1410  static char __pyx_k_211[] = "complexifier (line 1527)";
1411  static char __pyx_k_212[] = "\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 ";
1412  static char __pyx_k_213[] = "sqrt (line 1542)";
1413  static char __pyx_k_214[] = "\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 ";
1414  static char __pyx_k_215[] = "exp (line 1565)";
1415  static char __pyx_k_216[] = "\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 ";
1416  static char __pyx_k_217[] = "log (line 1579)";
1417  static char __pyx_k_218[] = "\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 ";
1418  static char __pyx_k_219[] = "cos (line 1602)";
1419  static char __pyx_k_220[] = "\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 ";
1420  static char __pyx_k_221[] = "acos (line 1619)";
1421  static char __pyx_k_222[] = "\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 ";
1422  static char __pyx_k_223[] = "cosh (line 1640)";
1423  static char __pyx_k_224[] = "\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 ";
1424  static char __pyx_k_225[] = "acosh (line 1656)";
1425  static char __pyx_k_226[] = "\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 ";
1426  static char __pyx_k_227[] = "sin (line 1679)";
1427  static char __pyx_k_228[] = "\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 ";
1428  static char __pyx_k_229[] = "asin (line 1698)";
1429  static char __pyx_k_230[] = "\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 ";
1430  static char __pyx_k_231[] = "sinh (line 1719)";
1431  static char __pyx_k_232[] = "\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 ";
1432  static char __pyx_k_233[] = "asinh (line 1733)";
1433  static char __pyx_k_234[] = "\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 ";
1434  static char __pyx_k_235[] = "tan (line 1752)";
1435  static char __pyx_k_236[] = "\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 ";
1436  static char __pyx_k_237[] = "atan (line 1769)";
1437  static char __pyx_k_238[] = "\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 ";
1438  static char __pyx_k_239[] = "tanh (line 1786)";
1439  static char __pyx_k_240[] = "\n Hyperbolic tangent of multivector.\n\n >>> x=clifford(\"{1,2}\") * pi/4; print tanh(x)\n {1,2}\n ";
1440  static char __pyx_k_241[] = "atanh (line 1798)";
1441  static char __pyx_k_242[] = "\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 ";
1442  static char __pyx_k_243[] = "random_clifford (line 1815)";
1443  static char __pyx_k_244[] = "\n Random multivector within a frame.\n\n >>> print random_clifford(index_set({-3,-1,2})).frame()\n {-3,-1,2}\n ";
1444  static char __pyx_k_245[] = "cga3 (line 1824)";
1445  static char __pyx_k_246[] = "\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 ";
1446  static char __pyx_k_247[] = "cga3std (line 1833)";
1447  static char __pyx_k_248[] = "\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 ";
1448  static char __pyx_k_249[] = "agc3 (line 1844)";
1449  static char __pyx_k_250[] = "\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 ";
1450  static char __pyx_k_251[] = "e (line 1887)";
1451  static char __pyx_k_252[] = "\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 ";
1452  static char __pyx_k_253[] = "istpq (line 1900)";
1453  static char __pyx_k_254[] = "\n Abbreviation for index_set({-q,...p}).\n\n >>> print istpq(2,3)\n {-3,-2,-1,1,2}\n ";
1454  static char __pyx_k__cl[] = "cl";
1455  static char __pyx_k__pi[] = "pi";
1456  static char __pyx_k__cos[] = "cos";
1457  static char __pyx_k__exp[] = "exp";
1458  static char __pyx_k__frm[] = "frm";
1459  static char __pyx_k__inv[] = "inv";
1460  static char __pyx_k__ist[] = "ist";
1461  static char __pyx_k__ixt[] = "ixt";
1462  static char __pyx_k__lhs[] = "lhs";
1463  static char __pyx_k__log[] = "log";
1464  static char __pyx_k__max[] = "max";
1465  static char __pyx_k__min[] = "min";
1466  static char __pyx_k__obj[] = "obj";
1467  static char __pyx_k__odd[] = "odd";
1468  static char __pyx_k__pow[] = "pow";
1469  static char __pyx_k__rhs[] = "rhs";
1470  static char __pyx_k__sin[] = "sin";
1471  static char __pyx_k__tan[] = "tan";
1472  static char __pyx_k__tau[] = "tau";
1473  static char __pyx_k__Real[] = "Real";
1474  static char __pyx_k__acos[] = "acos";
1475  static char __pyx_k__args[] = "args";
1476  static char __pyx_k__asin[] = "asin";
1477  static char __pyx_k__atan[] = "atan";
1478  static char __pyx_k__conj[] = "conj";
1479  static char __pyx_k__copy[] = "copy";
1480  static char __pyx_k__cosh[] = "cosh";
1481  static char __pyx_k__even[] = "even";
1482  static char __pyx_k__fill[] = "fill";
1483  static char __pyx_k__math[] = "math";
1484  static char __pyx_k__norm[] = "norm";
1485  static char __pyx_k__pure[] = "pure";
1486  static char __pyx_k__quad[] = "quad";
1487  static char __pyx_k__send[] = "send";
1488  static char __pyx_k__sinh[] = "sinh";
1489  static char __pyx_k__sqrt[] = "sqrt";
1490  static char __pyx_k__tanh[] = "tanh";
1491  static char __pyx_k___test[] = "_test";
1492  static char __pyx_k__acosh[] = "acosh";
1493  static char __pyx_k__asinh[] = "asinh";
1494  static char __pyx_k__atanh[] = "atanh";
1495  static char __pyx_k__close[] = "close";
1496  static char __pyx_k__grade[] = "grade";
1497  static char __pyx_k__istpq[] = "istpq";
1498  static char __pyx_k__nbar3[] = "nbar3";
1499  static char __pyx_k__ninf3[] = "ninf3";
1500  static char __pyx_k__other[] = "other";
1501  static char __pyx_k__range[] = "range";
1502  static char __pyx_k__throw[] = "throw";
1503  static char __pyx_k__scalar[] = "scalar";
1504  static char __pyx_k__xrange[] = "xrange";
1505  static char __pyx_k__doctest[] = "doctest";
1506  static char __pyx_k__numbers[] = "numbers";
1507  static char __pyx_k__reverse[] = "reverse";
1508  static char __pyx_k__testmod[] = "testmod";
1509  static char __pyx_k__Integral[] = "Integral";
1510  static char __pyx_k__PyClical[] = "PyClical";
1511  static char __pyx_k__Sequence[] = "Sequence";
1512  static char __pyx_k____main__[] = "__main__";
1513  static char __pyx_k____name__[] = "__name__";
1514  static char __pyx_k____test__[] = "__test__";
1515  static char __pyx_k__involute[] = "involute";
1516  static char __pyx_k__TypeError[] = "TypeError";
1517  static char __pyx_k__outer_pow[] = "outer_pow";
1518  static char __pyx_k__IndexError[] = "IndexError";
1519  static char __pyx_k__ValueError[] = "ValueError";
1520  static char __pyx_k____import__[] = "__import__";
1521  static char __pyx_k____version__[] = "__version__";
1522  static char __pyx_k__collections[] = "collections";
1523  static char __pyx_k__RuntimeError[] = "RuntimeError";
1524  static char __pyx_k__NotImplemented[] = "NotImplemented";
1525  static char __pyx_k____pyx_vtable__[] = "__pyx_vtable__";
1526  static PyObject *__pyx_kp_s_1;
1527  static PyObject *__pyx_kp_s_10;
1528  static PyObject *__pyx_kp_u_100;
1529  static PyObject *__pyx_kp_u_101;
1530  static PyObject *__pyx_kp_u_102;
1531  static PyObject *__pyx_kp_u_103;
1532  static PyObject *__pyx_kp_u_104;
1533  static PyObject *__pyx_kp_u_105;
1534  static PyObject *__pyx_kp_u_106;
1535  static PyObject *__pyx_kp_u_107;
1536  static PyObject *__pyx_kp_u_108;
1537  static PyObject *__pyx_kp_u_109;
1538  static PyObject *__pyx_kp_s_11;
1539  static PyObject *__pyx_kp_u_110;
1540  static PyObject *__pyx_kp_u_111;
1541  static PyObject *__pyx_kp_u_112;
1542  static PyObject *__pyx_kp_u_113;
1543  static PyObject *__pyx_kp_u_114;
1544  static PyObject *__pyx_kp_u_115;
1545  static PyObject *__pyx_kp_u_116;
1546  static PyObject *__pyx_kp_u_117;
1547  static PyObject *__pyx_kp_u_118;
1548  static PyObject *__pyx_kp_u_119;
1549  static PyObject *__pyx_kp_s_12;
1550  static PyObject *__pyx_kp_u_120;
1551  static PyObject *__pyx_kp_u_121;
1552  static PyObject *__pyx_kp_u_122;
1553  static PyObject *__pyx_kp_u_123;
1554  static PyObject *__pyx_kp_u_124;
1555  static PyObject *__pyx_kp_u_125;
1556  static PyObject *__pyx_kp_u_126;
1557  static PyObject *__pyx_kp_u_127;
1558  static PyObject *__pyx_kp_u_128;
1559  static PyObject *__pyx_kp_u_129;
1560  static PyObject *__pyx_kp_s_13;
1561  static PyObject *__pyx_kp_u_130;
1562  static PyObject *__pyx_kp_u_131;
1563  static PyObject *__pyx_kp_u_132;
1564  static PyObject *__pyx_kp_u_133;
1565  static PyObject *__pyx_kp_u_134;
1566  static PyObject *__pyx_kp_u_135;
1567  static PyObject *__pyx_kp_u_136;
1568  static PyObject *__pyx_kp_u_137;
1569  static PyObject *__pyx_kp_u_138;
1570  static PyObject *__pyx_kp_u_139;
1571  static PyObject *__pyx_kp_u_140;
1572  static PyObject *__pyx_kp_u_141;
1573  static PyObject *__pyx_kp_u_142;
1574  static PyObject *__pyx_kp_u_143;
1575  static PyObject *__pyx_kp_u_144;
1576  static PyObject *__pyx_kp_u_145;
1577  static PyObject *__pyx_kp_u_146;
1578  static PyObject *__pyx_kp_u_147;
1579  static PyObject *__pyx_kp_u_148;
1580  static PyObject *__pyx_kp_u_149;
1581  static PyObject *__pyx_kp_u_150;
1582  static PyObject *__pyx_kp_u_151;
1583  static PyObject *__pyx_kp_u_152;
1584  static PyObject *__pyx_kp_u_153;
1585  static PyObject *__pyx_kp_u_154;
1586  static PyObject *__pyx_kp_u_155;
1587  static PyObject *__pyx_kp_u_156;
1588  static PyObject *__pyx_kp_u_157;
1589  static PyObject *__pyx_kp_u_158;
1590  static PyObject *__pyx_kp_u_159;
1591  static PyObject *__pyx_kp_s_16;
1592  static PyObject *__pyx_kp_u_160;
1593  static PyObject *__pyx_kp_u_161;
1594  static PyObject *__pyx_kp_u_162;
1595  static PyObject *__pyx_kp_u_163;
1596  static PyObject *__pyx_kp_u_164;
1597  static PyObject *__pyx_kp_u_165;
1598  static PyObject *__pyx_kp_u_166;
1599  static PyObject *__pyx_kp_u_167;
1600  static PyObject *__pyx_kp_u_168;
1601  static PyObject *__pyx_kp_u_169;
1602  static PyObject *__pyx_kp_s_17;
1603  static PyObject *__pyx_kp_u_170;
1604  static PyObject *__pyx_kp_u_171;
1605  static PyObject *__pyx_kp_u_172;
1606  static PyObject *__pyx_kp_u_173;
1607  static PyObject *__pyx_kp_u_174;
1608  static PyObject *__pyx_kp_u_175;
1609  static PyObject *__pyx_kp_u_176;
1610  static PyObject *__pyx_kp_u_177;
1611  static PyObject *__pyx_kp_u_178;
1612  static PyObject *__pyx_kp_u_179;
1613  static PyObject *__pyx_kp_s_18;
1614  static PyObject *__pyx_kp_u_180;
1615  static PyObject *__pyx_kp_u_181;
1616  static PyObject *__pyx_kp_u_182;
1617  static PyObject *__pyx_kp_u_183;
1618  static PyObject *__pyx_kp_u_184;
1619  static PyObject *__pyx_kp_u_185;
1620  static PyObject *__pyx_kp_u_186;
1621  static PyObject *__pyx_kp_u_187;
1622  static PyObject *__pyx_kp_u_188;
1623  static PyObject *__pyx_kp_u_189;
1624  static PyObject *__pyx_kp_s_19;
1625  static PyObject *__pyx_kp_u_190;
1626  static PyObject *__pyx_kp_u_191;
1627  static PyObject *__pyx_kp_u_192;
1628  static PyObject *__pyx_kp_u_193;
1629  static PyObject *__pyx_kp_u_194;
1630  static PyObject *__pyx_kp_u_195;
1631  static PyObject *__pyx_kp_u_196;
1632  static PyObject *__pyx_kp_u_197;
1633  static PyObject *__pyx_kp_u_198;
1634  static PyObject *__pyx_kp_u_199;
1635  static PyObject *__pyx_kp_s_2;
1636  static PyObject *__pyx_kp_s_20;
1637  static PyObject *__pyx_kp_u_200;
1638  static PyObject *__pyx_kp_u_201;
1639  static PyObject *__pyx_kp_u_202;
1640  static PyObject *__pyx_kp_u_203;
1641  static PyObject *__pyx_kp_u_204;
1642  static PyObject *__pyx_kp_u_205;
1643  static PyObject *__pyx_kp_u_206;
1644  static PyObject *__pyx_kp_u_207;
1645  static PyObject *__pyx_kp_u_208;
1646  static PyObject *__pyx_kp_u_209;
1647  static PyObject *__pyx_kp_s_21;
1648  static PyObject *__pyx_kp_u_210;
1649  static PyObject *__pyx_kp_u_211;
1650  static PyObject *__pyx_kp_u_212;
1651  static PyObject *__pyx_kp_u_213;
1652  static PyObject *__pyx_kp_u_214;
1653  static PyObject *__pyx_kp_u_215;
1654  static PyObject *__pyx_kp_u_216;
1655  static PyObject *__pyx_kp_u_217;
1656  static PyObject *__pyx_kp_u_218;
1657  static PyObject *__pyx_kp_u_219;
1658  static PyObject *__pyx_kp_s_22;
1659  static PyObject *__pyx_kp_u_220;
1660  static PyObject *__pyx_kp_u_221;
1661  static PyObject *__pyx_kp_u_222;
1662  static PyObject *__pyx_kp_u_223;
1663  static PyObject *__pyx_kp_u_224;
1664  static PyObject *__pyx_kp_u_225;
1665  static PyObject *__pyx_kp_u_226;
1666  static PyObject *__pyx_kp_u_227;
1667  static PyObject *__pyx_kp_u_228;
1668  static PyObject *__pyx_kp_u_229;
1669  static PyObject *__pyx_kp_s_23;
1670  static PyObject *__pyx_kp_u_230;
1671  static PyObject *__pyx_kp_u_231;
1672  static PyObject *__pyx_kp_u_232;
1673  static PyObject *__pyx_kp_u_233;
1674  static PyObject *__pyx_kp_u_234;
1675  static PyObject *__pyx_kp_u_235;
1676  static PyObject *__pyx_kp_u_236;
1677  static PyObject *__pyx_kp_u_237;
1678  static PyObject *__pyx_kp_u_238;
1679  static PyObject *__pyx_kp_u_239;
1680  static PyObject *__pyx_kp_u_240;
1681  static PyObject *__pyx_kp_u_241;
1682  static PyObject *__pyx_kp_u_242;
1683  static PyObject *__pyx_kp_u_243;
1684  static PyObject *__pyx_kp_u_244;
1685  static PyObject *__pyx_kp_u_245;
1686  static PyObject *__pyx_kp_u_246;
1687  static PyObject *__pyx_kp_u_247;
1688  static PyObject *__pyx_kp_u_248;
1689  static PyObject *__pyx_kp_u_249;
1690  static PyObject *__pyx_kp_s_25;
1691  static PyObject *__pyx_kp_u_250;
1692  static PyObject *__pyx_kp_u_251;
1693  static PyObject *__pyx_kp_u_252;
1694  static PyObject *__pyx_kp_u_253;
1695  static PyObject *__pyx_kp_u_254;
1696  static PyObject *__pyx_n_s_27;
1697  static PyObject *__pyx_kp_s_28;
1698  static PyObject *__pyx_kp_s_3;
1699  static PyObject *__pyx_n_s_30;
1700  static PyObject *__pyx_kp_s_4;
1701  static PyObject *__pyx_kp_u_41;
1702  static PyObject *__pyx_kp_u_42;
1703  static PyObject *__pyx_kp_u_43;
1704  static PyObject *__pyx_kp_u_44;
1705  static PyObject *__pyx_kp_u_45;
1706  static PyObject *__pyx_kp_u_46;
1707  static PyObject *__pyx_kp_u_47;
1708  static PyObject *__pyx_kp_u_48;
1709  static PyObject *__pyx_kp_u_49;
1710  static PyObject *__pyx_kp_s_5;
1711  static PyObject *__pyx_kp_u_50;
1712  static PyObject *__pyx_kp_u_51;
1713  static PyObject *__pyx_kp_u_52;
1714  static PyObject *__pyx_kp_u_53;
1715  static PyObject *__pyx_kp_u_54;
1716  static PyObject *__pyx_kp_u_55;
1717  static PyObject *__pyx_kp_u_56;
1718  static PyObject *__pyx_kp_u_57;
1719  static PyObject *__pyx_kp_u_58;
1720  static PyObject *__pyx_kp_u_59;
1721  static PyObject *__pyx_kp_s_6;
1722  static PyObject *__pyx_kp_u_60;
1723  static PyObject *__pyx_kp_u_61;
1724  static PyObject *__pyx_kp_u_62;
1725  static PyObject *__pyx_kp_u_63;
1726  static PyObject *__pyx_kp_u_64;
1727  static PyObject *__pyx_kp_u_65;
1728  static PyObject *__pyx_kp_u_66;
1729  static PyObject *__pyx_kp_u_67;
1730  static PyObject *__pyx_kp_u_68;
1731  static PyObject *__pyx_kp_u_69;
1732  static PyObject *__pyx_kp_s_7;
1733  static PyObject *__pyx_kp_u_70;
1734  static PyObject *__pyx_kp_u_71;
1735  static PyObject *__pyx_kp_u_72;
1736  static PyObject *__pyx_kp_u_73;
1737  static PyObject *__pyx_kp_u_74;
1738  static PyObject *__pyx_kp_u_75;
1739  static PyObject *__pyx_kp_u_76;
1740  static PyObject *__pyx_kp_u_77;
1741  static PyObject *__pyx_kp_u_78;
1742  static PyObject *__pyx_kp_u_79;
1743  static PyObject *__pyx_kp_s_8;
1744  static PyObject *__pyx_kp_u_80;
1745  static PyObject *__pyx_kp_u_81;
1746  static PyObject *__pyx_kp_u_82;
1747  static PyObject *__pyx_kp_u_83;
1748  static PyObject *__pyx_kp_u_84;
1749  static PyObject *__pyx_kp_u_85;
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2459  __Pyx_DECREF(__pyx_t_16); __pyx_t_16 = 0;
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5320  PyObject *__pyx_t_5 = NULL;
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5324  scalar_t __pyx_t_9;
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5327  PyObject *__pyx_t_12 = NULL;
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5610  __Pyx_GOTREF(__pyx_t_8);
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5612  __Pyx_Raise(__pyx_t_8, 0, 0, 0);
5613  __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
5614  {__pyx_filename = __pyx_f[0]; __pyx_lineno = 603; __pyx_clineno = __LINE__; goto __pyx_L4_error;}
5615  }
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5620  __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
5621  goto __pyx_L11_try_end;
5622  __pyx_L4_error:;
5623  __Pyx_XDECREF(__pyx_t_16); __pyx_t_16 = 0;
5624  __Pyx_XDECREF(__pyx_t_18); __pyx_t_18 = 0;
5625  __Pyx_XDECREF(__pyx_t_17); __pyx_t_17 = 0;
5626  __Pyx_XDECREF(__pyx_t_15); __pyx_t_15 = 0;
5627  __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
5628  __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
5629 
5630  /* "PyClical.pyx":604
5631  * else:
5632  * raise TypeError(error_msg_prefix + " " + str(type(other)) + ".")
5633  * except RuntimeError as err: # <<<<<<<<<<<<<<
5634  * raise ValueError(error_msg_prefix + " " + str(type(other))
5635  * + " value " + repr(other) + ":"
5636  */
5637  __pyx_t_14 = PyErr_ExceptionMatches(__pyx_builtin_RuntimeError);
5638  if (__pyx_t_14) {
5639  __Pyx_AddTraceback("PyClical.clifford.__cinit__", __pyx_clineno, __pyx_lineno, __pyx_filename);
5640  if (__Pyx_GetException(&__pyx_t_8, &__pyx_t_7, &__pyx_t_15) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 604; __pyx_clineno = __LINE__; goto __pyx_L6_except_error;}
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5643  __Pyx_GOTREF(__pyx_t_15);
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5648  * raise TypeError(error_msg_prefix + " " + str(type(other)) + ".")
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5650  * raise ValueError(error_msg_prefix + " " + str(type(other)) # <<<<<<<<<<<<<<
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5652  * + "\n\t" + str(err))
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5670  __Pyx_DECREF(__pyx_t_18); __pyx_t_18 = 0;
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5677  * elif isinstance(ixt, index_set):
5678  */
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5680  __Pyx_GOTREF(__pyx_t_18);
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5682  __Pyx_GOTREF(__pyx_t_17);
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5686  __Pyx_GOTREF(__pyx_t_18);
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5697  * if isinstance(other, numbers.Real):
5698  */
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5703  __Pyx_GIVEREF(__pyx_v_err);
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5705  __Pyx_GOTREF(__pyx_t_16);
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5707  __pyx_t_18 = PyNumber_Add(__pyx_t_17, __pyx_t_16); if (unlikely(!__pyx_t_18)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 607; __pyx_clineno = __LINE__; goto __pyx_L6_except_error;}
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5720  __Pyx_DECREF(__pyx_t_18); __pyx_t_18 = 0;
5721  {__pyx_filename = __pyx_f[0]; __pyx_lineno = 605; __pyx_clineno = __LINE__; goto __pyx_L6_except_error;}
5722  __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
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5725  goto __pyx_L5_exception_handled;
5726  }
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5728  __Pyx_XGIVEREF(__pyx_t_3);
5729  __Pyx_XGIVEREF(__pyx_t_4);
5730  __Pyx_XGIVEREF(__pyx_t_5);
5731  __Pyx_ExceptionReset(__pyx_t_3, __pyx_t_4, __pyx_t_5);
5732  goto __pyx_L1_error;
5733  __pyx_L5_exception_handled:;
5734  __Pyx_XGIVEREF(__pyx_t_3);
5735  __Pyx_XGIVEREF(__pyx_t_4);
5736  __Pyx_XGIVEREF(__pyx_t_5);
5737  __Pyx_ExceptionReset(__pyx_t_3, __pyx_t_4, __pyx_t_5);
5738  __pyx_L11_try_end:;
5739  }
5740  goto __pyx_L3;
5741  }
5742 
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5745  * + "\n\t" + str(err))
5746  * elif isinstance(ixt, index_set): # <<<<<<<<<<<<<<
5747  * if isinstance(other, numbers.Real):
5748  * self.instance = new Clifford((<index_set>ixt).unwrap(), <scalar_t>other)
5749  */
5750  __pyx_t_2 = __Pyx_TypeCheck(__pyx_v_ixt, ((PyObject*)__pyx_ptype_8PyClical_index_set));
5751  __pyx_t_1 = (__pyx_t_2 != 0);
5752  if (__pyx_t_1) {
5753 
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5756  * elif isinstance(ixt, index_set):
5757  * if isinstance(other, numbers.Real): # <<<<<<<<<<<<<<
5758  * self.instance = new Clifford((<index_set>ixt).unwrap(), <scalar_t>other)
5759  * elif isinstance(other, collections.Sequence):
5760  */
5761  __pyx_t_15 = __Pyx_GetModuleGlobalName(__pyx_n_s__numbers); if (unlikely(!__pyx_t_15)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 609; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5762  __Pyx_GOTREF(__pyx_t_15);
5763  __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_t_15, __pyx_n_s__Real); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 609; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5764  __Pyx_GOTREF(__pyx_t_7);
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5767  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
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5773  * if isinstance(other, numbers.Real):
5774  * self.instance = new Clifford((<index_set>ixt).unwrap(), <scalar_t>other) # <<<<<<<<<<<<<<
5775  * elif isinstance(other, collections.Sequence):
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5782  __Pyx_CppExn2PyErr();
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5784  }
5785  __pyx_v_self->instance = __pyx_t_6;
5786  goto __pyx_L25;
5787  }
5788 
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5790  * if isinstance(other, numbers.Real):
5791  * self.instance = new Clifford((<index_set>ixt).unwrap(), <scalar_t>other)
5792  * elif isinstance(other, collections.Sequence): # <<<<<<<<<<<<<<
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5794  * else:
5795  */
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5807  * self.instance = new Clifford((<index_set>ixt).unwrap(), <scalar_t>other)
5808  * elif isinstance(other, collections.Sequence):
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5816  __Pyx_CppExn2PyErr();
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5820  goto __pyx_L25;
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5823 
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5826  * else:
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5828  * + ", " + repr(ixt) + ").")
5829  * else:
5830  */
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5847  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
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5850  * else:
5851  * raise TypeError(error_msg_prefix + " (" + str(type(other))
5852  * + ", " + repr(ixt) + ").") # <<<<<<<<<<<<<<
5853  * else:
5854  * raise TypeError(error_msg_prefix + " (" + str(type(other))
5855  */
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5857  __Pyx_GOTREF(__pyx_t_7);
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5859  __Pyx_GOTREF(__pyx_t_15);
5860  __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
5861  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
5862  __pyx_t_7 = PyNumber_Add(__pyx_t_15, ((PyObject *)__pyx_kp_s_12)); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 615; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5863  __Pyx_GOTREF(__pyx_t_7);
5864  __Pyx_DECREF(__pyx_t_15); __pyx_t_15 = 0;
5865  __pyx_t_15 = PyTuple_New(1); if (unlikely(!__pyx_t_15)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 614; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5866  __Pyx_GOTREF(__pyx_t_15);
5867  PyTuple_SET_ITEM(__pyx_t_15, 0, __pyx_t_7);
5868  __Pyx_GIVEREF(__pyx_t_7);
5869  __pyx_t_7 = 0;
5870  __pyx_t_7 = PyObject_Call(__pyx_builtin_TypeError, ((PyObject *)__pyx_t_15), NULL); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 614; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5871  __Pyx_GOTREF(__pyx_t_7);
5872  __Pyx_DECREF(((PyObject *)__pyx_t_15)); __pyx_t_15 = 0;
5873  __Pyx_Raise(__pyx_t_7, 0, 0, 0);
5874  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
5875  {__pyx_filename = __pyx_f[0]; __pyx_lineno = 614; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5876  }
5877  __pyx_L25:;
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5961  /* Python wrapper */
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6016 
6017  static int __pyx_pf_8PyClical_8clifford_6__contains__(CYTHON_UNUSED struct __pyx_obj_8PyClical_clifford *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_x) {
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6238  * result.instance = new Clifford(self.unwrap(), (<index_set>ixt).unwrap())
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16360  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_PyClical);
16361  __Pyx_GIVEREF(__pyx_v_PyClical);
16362  __pyx_t_3 = PyObject_Call(__pyx_t_1, ((PyObject *)__pyx_t_2), NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1915; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
16363  __Pyx_GOTREF(__pyx_t_3);
16364  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
16365  __Pyx_DECREF(((PyObject *)__pyx_t_2)); __pyx_t_2 = 0;
16366  __pyx_r = __pyx_t_3;
16367  __pyx_t_3 = 0;
16368  goto __pyx_L0;
16369 
16370  __pyx_r = Py_None; __Pyx_INCREF(Py_None);
16371  goto __pyx_L0;
16372  __pyx_L1_error:;
16373  __Pyx_XDECREF(__pyx_t_1);
16374  __Pyx_XDECREF(__pyx_t_2);
16375  __Pyx_XDECREF(__pyx_t_3);
16376  __Pyx_AddTraceback("PyClical._test", __pyx_clineno, __pyx_lineno, __pyx_filename);
16377  __pyx_r = NULL;
16378  __pyx_L0:;
16379  __Pyx_XDECREF(__pyx_v_PyClical);
16380  __Pyx_XDECREF(__pyx_v_doctest);
16381  __Pyx_XGIVEREF(__pyx_r);
16382  __Pyx_RefNannyFinishContext();
16383  return __pyx_r;
16384  }
16385  static struct __pyx_vtabstruct_8PyClical_index_set __pyx_vtable_8PyClical_index_set;
16386 
16387  static PyObject *__pyx_tp_new_8PyClical_index_set(PyTypeObject *t, PyObject *a, PyObject *k) {
16388  struct __pyx_obj_8PyClical_index_set *p;
16389  PyObject *o;
16390  o = (*t->tp_alloc)(t, 0);
16391  if (unlikely(!o)) return 0;
16392  p = ((struct __pyx_obj_8PyClical_index_set *)o);
16393  p->__pyx_vtab = __pyx_vtabptr_8PyClical_index_set;
16394  if (unlikely(__pyx_pw_8PyClical_9index_set_3__cinit__(o, a, k) < 0)) {
16395  Py_DECREF(o); o = 0;
16396  }
16397  return o;
16398  }
16399 
16400  static void __pyx_tp_dealloc_8PyClical_index_set(PyObject *o) {
16401  {
16402  PyObject *etype, *eval, *etb;
16403  PyErr_Fetch(&etype, &eval, &etb);
16404  ++Py_REFCNT(o);
16405  __pyx_pw_8PyClical_9index_set_5__dealloc__(o);
16406  if (PyErr_Occurred()) PyErr_WriteUnraisable(o);
16407  --Py_REFCNT(o);
16408  PyErr_Restore(etype, eval, etb);
16409  }
16410  (*Py_TYPE(o)->tp_free)(o);
16411  }
16412  static PyObject *__pyx_sq_item_8PyClical_index_set(PyObject *o, Py_ssize_t i) {
16413  PyObject *r;
16414  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
16415  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
16416  Py_DECREF(x);
16417  return r;
16418  }
16419 
16420  static int __pyx_mp_ass_subscript_8PyClical_index_set(PyObject *o, PyObject *i, PyObject *v) {
16421  if (v) {
16422  return __pyx_pw_8PyClical_9index_set_9__setitem__(o, i, v);
16423  }
16424  else {
16425  PyErr_Format(PyExc_NotImplementedError,
16426  "Subscript deletion not supported by %s", Py_TYPE(o)->tp_name);
16427  return -1;
16428  }
16429  }
16430 
16431  static PyMethodDef __pyx_methods_8PyClical_index_set[] = {
16432  {__Pyx_NAMESTR("copy"), (PyCFunction)__pyx_pw_8PyClical_9index_set_1copy, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_9index_set_copy)},
16433  {__Pyx_NAMESTR("count"), (PyCFunction)__pyx_pw_8PyClical_9index_set_32count, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_9index_set_31count)},
16434  {__Pyx_NAMESTR("count_neg"), (PyCFunction)__pyx_pw_8PyClical_9index_set_34count_neg, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_9index_set_33count_neg)},
16435  {__Pyx_NAMESTR("count_pos"), (PyCFunction)__pyx_pw_8PyClical_9index_set_36count_pos, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_9index_set_35count_pos)},
16436  {__Pyx_NAMESTR("min"), (PyCFunction)__pyx_pw_8PyClical_9index_set_38min, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_9index_set_37min)},
16437  {__Pyx_NAMESTR("max"), (PyCFunction)__pyx_pw_8PyClical_9index_set_40max, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_9index_set_39max)},
16438  {__Pyx_NAMESTR("hash_fn"), (PyCFunction)__pyx_pw_8PyClical_9index_set_42hash_fn, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_9index_set_41hash_fn)},
16439  {__Pyx_NAMESTR("sign_of_mult"), (PyCFunction)__pyx_pw_8PyClical_9index_set_44sign_of_mult, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_9index_set_43sign_of_mult)},
16440  {__Pyx_NAMESTR("sign_of_square"), (PyCFunction)__pyx_pw_8PyClical_9index_set_46sign_of_square, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_9index_set_45sign_of_square)},
16441  {0, 0, 0, 0}
16442  };
16443 
16444  static PyNumberMethods __pyx_tp_as_number_index_set = {
16445  0, /*nb_add*/
16446  0, /*nb_subtract*/
16447  0, /*nb_multiply*/
16448  #if PY_MAJOR_VERSION < 3
16449  0, /*nb_divide*/
16450  #endif
16451  0, /*nb_remainder*/
16452  0, /*nb_divmod*/
16453  0, /*nb_power*/
16454  0, /*nb_negative*/
16455  0, /*nb_positive*/
16456  0, /*nb_absolute*/
16457  0, /*nb_nonzero*/
16458  __pyx_pw_8PyClical_9index_set_18__invert__, /*nb_invert*/
16459  0, /*nb_lshift*/
16460  0, /*nb_rshift*/
16461  __pyx_pw_8PyClical_9index_set_24__and__, /*nb_and*/
16462  __pyx_pw_8PyClical_9index_set_20__xor__, /*nb_xor*/
16463  __pyx_pw_8PyClical_9index_set_28__or__, /*nb_or*/
16464  #if PY_MAJOR_VERSION < 3
16465  0, /*nb_coerce*/
16466  #endif
16467  0, /*nb_int*/
16468  #if PY_MAJOR_VERSION < 3
16469  0, /*nb_long*/
16470  #else
16471  0, /*reserved*/
16472  #endif
16473  0, /*nb_float*/
16474  #if PY_MAJOR_VERSION < 3
16475  0, /*nb_oct*/
16476  #endif
16477  #if PY_MAJOR_VERSION < 3
16478  0, /*nb_hex*/
16479  #endif
16480  0, /*nb_inplace_add*/
16481  0, /*nb_inplace_subtract*/
16482  0, /*nb_inplace_multiply*/
16483  #if PY_MAJOR_VERSION < 3
16484  0, /*nb_inplace_divide*/
16485  #endif
16486  0, /*nb_inplace_remainder*/
16487  0, /*nb_inplace_power*/
16488  0, /*nb_inplace_lshift*/
16489  0, /*nb_inplace_rshift*/
16490  __pyx_pw_8PyClical_9index_set_26__iand__, /*nb_inplace_and*/
16491  __pyx_pw_8PyClical_9index_set_22__ixor__, /*nb_inplace_xor*/
16492  __pyx_pw_8PyClical_9index_set_30__ior__, /*nb_inplace_or*/
16493  0, /*nb_floor_divide*/
16494  0, /*nb_true_divide*/
16495  0, /*nb_inplace_floor_divide*/
16496  0, /*nb_inplace_true_divide*/
16497  #if PY_VERSION_HEX >= 0x02050000
16498  0, /*nb_index*/
16499  #endif
16500  };
16501 
16502  static PySequenceMethods __pyx_tp_as_sequence_index_set = {
16503  0, /*sq_length*/
16504  0, /*sq_concat*/
16505  0, /*sq_repeat*/
16506  __pyx_sq_item_8PyClical_index_set, /*sq_item*/
16507  0, /*sq_slice*/
16508  0, /*sq_ass_item*/
16509  0, /*sq_ass_slice*/
16510  __pyx_pw_8PyClical_9index_set_13__contains__, /*sq_contains*/
16511  0, /*sq_inplace_concat*/
16512  0, /*sq_inplace_repeat*/
16513  };
16514 
16515  static PyMappingMethods __pyx_tp_as_mapping_index_set = {
16516  0, /*mp_length*/
16517  __pyx_pw_8PyClical_9index_set_11__getitem__, /*mp_subscript*/
16518  __pyx_mp_ass_subscript_8PyClical_index_set, /*mp_ass_subscript*/
16519  };
16520 
16521  static PyTypeObject __pyx_type_8PyClical_index_set = {
16522  PyVarObject_HEAD_INIT(0, 0)
16523  __Pyx_NAMESTR("PyClical.index_set"), /*tp_name*/
16524  sizeof(struct __pyx_obj_8PyClical_index_set), /*tp_basicsize*/
16525  0, /*tp_itemsize*/
16526  __pyx_tp_dealloc_8PyClical_index_set, /*tp_dealloc*/
16527  0, /*tp_print*/
16528  0, /*tp_getattr*/
16529  0, /*tp_setattr*/
16530  #if PY_MAJOR_VERSION < 3
16531  0, /*tp_compare*/
16532  #else
16533  0, /*reserved*/
16534  #endif
16535  __pyx_pw_8PyClical_9index_set_48__repr__, /*tp_repr*/
16536  &__pyx_tp_as_number_index_set, /*tp_as_number*/
16537  &__pyx_tp_as_sequence_index_set, /*tp_as_sequence*/
16538  &__pyx_tp_as_mapping_index_set, /*tp_as_mapping*/
16539  0, /*tp_hash*/
16540  0, /*tp_call*/
16541  __pyx_pw_8PyClical_9index_set_50__str__, /*tp_str*/
16542  0, /*tp_getattro*/
16543  0, /*tp_setattro*/
16544  0, /*tp_as_buffer*/
16545  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
16546  __Pyx_DOCSTR("\n Python class index_set wraps C++ class IndexSet.\n "), /*tp_doc*/
16547  0, /*tp_traverse*/
16548  0, /*tp_clear*/
16549  __pyx_pw_8PyClical_9index_set_7__richcmp__, /*tp_richcompare*/
16550  0, /*tp_weaklistoffset*/
16551  __pyx_pw_8PyClical_9index_set_15__iter__, /*tp_iter*/
16552  0, /*tp_iternext*/
16553  __pyx_methods_8PyClical_index_set, /*tp_methods*/
16554  0, /*tp_members*/
16555  0, /*tp_getset*/
16556  0, /*tp_base*/
16557  0, /*tp_dict*/
16558  0, /*tp_descr_get*/
16559  0, /*tp_descr_set*/
16560  0, /*tp_dictoffset*/
16561  0, /*tp_init*/
16562  0, /*tp_alloc*/
16563  __pyx_tp_new_8PyClical_index_set, /*tp_new*/
16564  0, /*tp_free*/
16565  0, /*tp_is_gc*/
16566  0, /*tp_bases*/
16567  0, /*tp_mro*/
16568  0, /*tp_cache*/
16569  0, /*tp_subclasses*/
16570  0, /*tp_weaklist*/
16571  0, /*tp_del*/
16572  #if PY_VERSION_HEX >= 0x02060000
16573  0, /*tp_version_tag*/
16574  #endif
16575  };
16576 
16577  static struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *__pyx_freelist_8PyClical___pyx_scope_struct____iter__[8];
16578  static int __pyx_freecount_8PyClical___pyx_scope_struct____iter__ = 0;
16579 
16580  static PyObject *__pyx_tp_new_8PyClical___pyx_scope_struct____iter__(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
16581  struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *p;
16582  PyObject *o;
16583  if (likely((__pyx_freecount_8PyClical___pyx_scope_struct____iter__ > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_8PyClical___pyx_scope_struct____iter__)))) {
16584  o = (PyObject*)__pyx_freelist_8PyClical___pyx_scope_struct____iter__[--__pyx_freecount_8PyClical___pyx_scope_struct____iter__];
16585  memset(o, 0, sizeof(struct __pyx_obj_8PyClical___pyx_scope_struct____iter__));
16586  PyObject_INIT(o, t);
16587  PyObject_GC_Track(o);
16588  } else {
16589  o = (*t->tp_alloc)(t, 0);
16590  if (unlikely(!o)) return 0;
16591  }
16592  p = ((struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o);
16593  p->__pyx_v_idx = 0;
16594  p->__pyx_v_self = 0;
16595  p->__pyx_t_0 = 0;
16596  return o;
16597  }
16598 
16599  static void __pyx_tp_dealloc_8PyClical___pyx_scope_struct____iter__(PyObject *o) {
16600  struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *p = (struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o;
16601  PyObject_GC_UnTrack(o);
16602  Py_CLEAR(p->__pyx_v_idx);
16603  Py_CLEAR(p->__pyx_v_self);
16604  Py_CLEAR(p->__pyx_t_0);
16605  if ((__pyx_freecount_8PyClical___pyx_scope_struct____iter__ < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_8PyClical___pyx_scope_struct____iter__))) {
16606  __pyx_freelist_8PyClical___pyx_scope_struct____iter__[__pyx_freecount_8PyClical___pyx_scope_struct____iter__++] = ((struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o);
16607  } else {
16608  (*Py_TYPE(o)->tp_free)(o);
16609  }
16610  }
16611 
16612  static int __pyx_tp_traverse_8PyClical___pyx_scope_struct____iter__(PyObject *o, visitproc v, void *a) {
16613  int e;
16614  struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *p = (struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o;
16615  if (p->__pyx_v_idx) {
16616  e = (*v)(p->__pyx_v_idx, a); if (e) return e;
16617  }
16618  if (p->__pyx_v_self) {
16619  e = (*v)(((PyObject*)p->__pyx_v_self), a); if (e) return e;
16620  }
16621  if (p->__pyx_t_0) {
16622  e = (*v)(p->__pyx_t_0, a); if (e) return e;
16623  }
16624  return 0;
16625  }
16626 
16627  static int __pyx_tp_clear_8PyClical___pyx_scope_struct____iter__(PyObject *o) {
16628  struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *p = (struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o;
16629  PyObject* tmp;
16630  tmp = ((PyObject*)p->__pyx_v_idx);
16631  p->__pyx_v_idx = Py_None; Py_INCREF(Py_None);
16632  Py_XDECREF(tmp);
16633  tmp = ((PyObject*)p->__pyx_v_self);
16634  p->__pyx_v_self = ((struct __pyx_obj_8PyClical_index_set *)Py_None); Py_INCREF(Py_None);
16635  Py_XDECREF(tmp);
16636  tmp = ((PyObject*)p->__pyx_t_0);
16637  p->__pyx_t_0 = Py_None; Py_INCREF(Py_None);
16638  Py_XDECREF(tmp);
16639  return 0;
16640  }
16641 
16642  static PyMethodDef __pyx_methods_8PyClical___pyx_scope_struct____iter__[] = {
16643  {0, 0, 0, 0}
16644  };
16645 
16646  static PyTypeObject __pyx_type_8PyClical___pyx_scope_struct____iter__ = {
16647  PyVarObject_HEAD_INIT(0, 0)
16648  __Pyx_NAMESTR("PyClical.__pyx_scope_struct____iter__"), /*tp_name*/
16649  sizeof(struct __pyx_obj_8PyClical___pyx_scope_struct____iter__), /*tp_basicsize*/
16650  0, /*tp_itemsize*/
16651  __pyx_tp_dealloc_8PyClical___pyx_scope_struct____iter__, /*tp_dealloc*/
16652  0, /*tp_print*/
16653  0, /*tp_getattr*/
16654  0, /*tp_setattr*/
16655  #if PY_MAJOR_VERSION < 3
16656  0, /*tp_compare*/
16657  #else
16658  0, /*reserved*/
16659  #endif
16660  0, /*tp_repr*/
16661  0, /*tp_as_number*/
16662  0, /*tp_as_sequence*/
16663  0, /*tp_as_mapping*/
16664  0, /*tp_hash*/
16665  0, /*tp_call*/
16666  0, /*tp_str*/
16667  0, /*tp_getattro*/
16668  0, /*tp_setattro*/
16669  0, /*tp_as_buffer*/
16670  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
16671  0, /*tp_doc*/
16672  __pyx_tp_traverse_8PyClical___pyx_scope_struct____iter__, /*tp_traverse*/
16673  __pyx_tp_clear_8PyClical___pyx_scope_struct____iter__, /*tp_clear*/
16674  0, /*tp_richcompare*/
16675  0, /*tp_weaklistoffset*/
16676  0, /*tp_iter*/
16677  0, /*tp_iternext*/
16678  __pyx_methods_8PyClical___pyx_scope_struct____iter__, /*tp_methods*/
16679  0, /*tp_members*/
16680  0, /*tp_getset*/
16681  0, /*tp_base*/
16682  0, /*tp_dict*/
16683  0, /*tp_descr_get*/
16684  0, /*tp_descr_set*/
16685  0, /*tp_dictoffset*/
16686  0, /*tp_init*/
16687  0, /*tp_alloc*/
16688  __pyx_tp_new_8PyClical___pyx_scope_struct____iter__, /*tp_new*/
16689  0, /*tp_free*/
16690  0, /*tp_is_gc*/
16691  0, /*tp_bases*/
16692  0, /*tp_mro*/
16693  0, /*tp_cache*/
16694  0, /*tp_subclasses*/
16695  0, /*tp_weaklist*/
16696  0, /*tp_del*/
16697  #if PY_VERSION_HEX >= 0x02060000
16698  0, /*tp_version_tag*/
16699  #endif
16700  };
16701  static struct __pyx_vtabstruct_8PyClical_clifford __pyx_vtable_8PyClical_clifford;
16702 
16703  static PyObject *__pyx_tp_new_8PyClical_clifford(PyTypeObject *t, PyObject *a, PyObject *k) {
16704  struct __pyx_obj_8PyClical_clifford *p;
16705  PyObject *o;
16706  o = (*t->tp_alloc)(t, 0);
16707  if (unlikely(!o)) return 0;
16708  p = ((struct __pyx_obj_8PyClical_clifford *)o);
16709  p->__pyx_vtab = __pyx_vtabptr_8PyClical_clifford;
16710  if (unlikely(__pyx_pw_8PyClical_8clifford_3__cinit__(o, a, k) < 0)) {
16711  Py_DECREF(o); o = 0;
16712  }
16713  return o;
16714  }
16715 
16716  static void __pyx_tp_dealloc_8PyClical_clifford(PyObject *o) {
16717  {
16718  PyObject *etype, *eval, *etb;
16719  PyErr_Fetch(&etype, &eval, &etb);
16720  ++Py_REFCNT(o);
16721  __pyx_pw_8PyClical_8clifford_5__dealloc__(o);
16722  if (PyErr_Occurred()) PyErr_WriteUnraisable(o);
16723  --Py_REFCNT(o);
16724  PyErr_Restore(etype, eval, etb);
16725  }
16726  (*Py_TYPE(o)->tp_free)(o);
16727  }
16728  static PyObject *__pyx_sq_item_8PyClical_clifford(PyObject *o, Py_ssize_t i) {
16729  PyObject *r;
16730  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
16731  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
16732  Py_DECREF(x);
16733  return r;
16734  }
16735 
16736  static PyMethodDef __pyx_methods_8PyClical_clifford[] = {
16737  {__Pyx_NAMESTR("copy"), (PyCFunction)__pyx_pw_8PyClical_8clifford_1copy, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_copy)},
16738  {__Pyx_NAMESTR("reframe"), (PyCFunction)__pyx_pw_8PyClical_8clifford_11reframe, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_10reframe)},
16739  {__Pyx_NAMESTR("inv"), (PyCFunction)__pyx_pw_8PyClical_8clifford_49inv, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_48inv)},
16740  {__Pyx_NAMESTR("pow"), (PyCFunction)__pyx_pw_8PyClical_8clifford_57pow, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_56pow)},
16741  {__Pyx_NAMESTR("outer_pow"), (PyCFunction)__pyx_pw_8PyClical_8clifford_59outer_pow, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_58outer_pow)},
16742  {__Pyx_NAMESTR("scalar"), (PyCFunction)__pyx_pw_8PyClical_8clifford_63scalar, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_62scalar)},
16743  {__Pyx_NAMESTR("pure"), (PyCFunction)__pyx_pw_8PyClical_8clifford_65pure, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_64pure)},
16744  {__Pyx_NAMESTR("even"), (PyCFunction)__pyx_pw_8PyClical_8clifford_67even, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_66even)},
16745  {__Pyx_NAMESTR("odd"), (PyCFunction)__pyx_pw_8PyClical_8clifford_69odd, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_68odd)},
16746  {__Pyx_NAMESTR("vector_part"), (PyCFunction)__pyx_pw_8PyClical_8clifford_71vector_part, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_70vector_part)},
16747  {__Pyx_NAMESTR("involute"), (PyCFunction)__pyx_pw_8PyClical_8clifford_73involute, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_72involute)},
16748  {__Pyx_NAMESTR("reverse"), (PyCFunction)__pyx_pw_8PyClical_8clifford_75reverse, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_74reverse)},
16749  {__Pyx_NAMESTR("conj"), (PyCFunction)__pyx_pw_8PyClical_8clifford_77conj, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_76conj)},
16750  {__Pyx_NAMESTR("quad"), (PyCFunction)__pyx_pw_8PyClical_8clifford_79quad, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_78quad)},
16751  {__Pyx_NAMESTR("norm"), (PyCFunction)__pyx_pw_8PyClical_8clifford_81norm, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_80norm)},
16752  {__Pyx_NAMESTR("abs"), (PyCFunction)__pyx_pw_8PyClical_8clifford_83abs, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_82abs)},
16753  {__Pyx_NAMESTR("max_abs"), (PyCFunction)__pyx_pw_8PyClical_8clifford_85max_abs, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_84max_abs)},
16754  {__Pyx_NAMESTR("truncated"), (PyCFunction)__pyx_pw_8PyClical_8clifford_87truncated, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_86truncated)},
16755  {__Pyx_NAMESTR("isnan"), (PyCFunction)__pyx_pw_8PyClical_8clifford_89isnan, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_88isnan)},
16756  {__Pyx_NAMESTR("frame"), (PyCFunction)__pyx_pw_8PyClical_8clifford_91frame, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_8PyClical_8clifford_90frame)},
16757  {0, 0, 0, 0}
16758  };
16759 
16760  static PyNumberMethods __pyx_tp_as_number_clifford = {
16761  __pyx_pw_8PyClical_8clifford_21__add__, /*nb_add*/
16762  __pyx_pw_8PyClical_8clifford_25__sub__, /*nb_subtract*/
16763  __pyx_pw_8PyClical_8clifford_29__mul__, /*nb_multiply*/
16764  #if PY_MAJOR_VERSION < 3
16765  __pyx_pw_8PyClical_8clifford_45__div__, /*nb_divide*/
16766  #endif
16767  __pyx_pw_8PyClical_8clifford_33__mod__, /*nb_remainder*/
16768  0, /*nb_divmod*/
16769  __pyx_pw_8PyClical_8clifford_55__pow__, /*nb_power*/
16770  __pyx_pw_8PyClical_8clifford_17__neg__, /*nb_negative*/
16771  __pyx_pw_8PyClical_8clifford_19__pos__, /*nb_positive*/
16772  0, /*nb_absolute*/
16773  0, /*nb_nonzero*/
16774  0, /*nb_invert*/
16775  0, /*nb_lshift*/
16776  0, /*nb_rshift*/
16777  __pyx_pw_8PyClical_8clifford_37__and__, /*nb_and*/
16778  __pyx_pw_8PyClical_8clifford_41__xor__, /*nb_xor*/
16779  __pyx_pw_8PyClical_8clifford_51__or__, /*nb_or*/
16780  #if PY_MAJOR_VERSION < 3
16781  0, /*nb_coerce*/
16782  #endif
16783  0, /*nb_int*/
16784  #if PY_MAJOR_VERSION < 3
16785  0, /*nb_long*/
16786  #else
16787  0, /*reserved*/
16788  #endif
16789  0, /*nb_float*/
16790  #if PY_MAJOR_VERSION < 3
16791  0, /*nb_oct*/
16792  #endif
16793  #if PY_MAJOR_VERSION < 3
16794  0, /*nb_hex*/
16795  #endif
16796  __pyx_pw_8PyClical_8clifford_23__iadd__, /*nb_inplace_add*/
16797  __pyx_pw_8PyClical_8clifford_27__isub__, /*nb_inplace_subtract*/
16798  __pyx_pw_8PyClical_8clifford_31__imul__, /*nb_inplace_multiply*/
16799  #if PY_MAJOR_VERSION < 3
16800  __pyx_pw_8PyClical_8clifford_47__idiv__, /*nb_inplace_divide*/
16801  #endif
16802  __pyx_pw_8PyClical_8clifford_35__imod__, /*nb_inplace_remainder*/
16803  0, /*nb_inplace_power*/
16804  0, /*nb_inplace_lshift*/
16805  0, /*nb_inplace_rshift*/
16806  __pyx_pw_8PyClical_8clifford_39__iand__, /*nb_inplace_and*/
16807  __pyx_pw_8PyClical_8clifford_43__ixor__, /*nb_inplace_xor*/
16808  __pyx_pw_8PyClical_8clifford_53__ior__, /*nb_inplace_or*/
16809  0, /*nb_floor_divide*/
16810  0, /*nb_true_divide*/
16811  0, /*nb_inplace_floor_divide*/
16812  0, /*nb_inplace_true_divide*/
16813  #if PY_VERSION_HEX >= 0x02050000
16814  0, /*nb_index*/
16815  #endif
16816  };
16817 
16818  static PySequenceMethods __pyx_tp_as_sequence_clifford = {
16819  0, /*sq_length*/
16820  0, /*sq_concat*/
16821  0, /*sq_repeat*/
16822  __pyx_sq_item_8PyClical_clifford, /*sq_item*/
16823  0, /*sq_slice*/
16824  0, /*sq_ass_item*/
16825  0, /*sq_ass_slice*/
16826  __pyx_pw_8PyClical_8clifford_7__contains__, /*sq_contains*/
16827  0, /*sq_inplace_concat*/
16828  0, /*sq_inplace_repeat*/
16829  };
16830 
16831  static PyMappingMethods __pyx_tp_as_mapping_clifford = {
16832  0, /*mp_length*/
16833  __pyx_pw_8PyClical_8clifford_15__getitem__, /*mp_subscript*/
16834  0, /*mp_ass_subscript*/
16835  };
16836 
16837  static PyTypeObject __pyx_type_8PyClical_clifford = {
16838  PyVarObject_HEAD_INIT(0, 0)
16839  __Pyx_NAMESTR("PyClical.clifford"), /*tp_name*/
16840  sizeof(struct __pyx_obj_8PyClical_clifford), /*tp_basicsize*/
16841  0, /*tp_itemsize*/
16842  __pyx_tp_dealloc_8PyClical_clifford, /*tp_dealloc*/
16843  0, /*tp_print*/
16844  0, /*tp_getattr*/
16845  0, /*tp_setattr*/
16846  #if PY_MAJOR_VERSION < 3
16847  0, /*tp_compare*/
16848  #else
16849  0, /*reserved*/
16850  #endif
16851  __pyx_pw_8PyClical_8clifford_93__repr__, /*tp_repr*/
16852  &__pyx_tp_as_number_clifford, /*tp_as_number*/
16853  &__pyx_tp_as_sequence_clifford, /*tp_as_sequence*/
16854  &__pyx_tp_as_mapping_clifford, /*tp_as_mapping*/
16855  0, /*tp_hash*/
16856  __pyx_pw_8PyClical_8clifford_61__call__, /*tp_call*/
16857  __pyx_pw_8PyClical_8clifford_95__str__, /*tp_str*/
16858  0, /*tp_getattro*/
16859  0, /*tp_setattro*/
16860  0, /*tp_as_buffer*/
16861  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
16862  __Pyx_DOCSTR("\n Python class clifford wraps C++ class Clifford.\n "), /*tp_doc*/
16863  0, /*tp_traverse*/
16864  0, /*tp_clear*/
16865  __pyx_pw_8PyClical_8clifford_13__richcmp__, /*tp_richcompare*/
16866  0, /*tp_weaklistoffset*/
16867  __pyx_pw_8PyClical_8clifford_9__iter__, /*tp_iter*/
16868  0, /*tp_iternext*/
16869  __pyx_methods_8PyClical_clifford, /*tp_methods*/
16870  0, /*tp_members*/
16871  0, /*tp_getset*/
16872  0, /*tp_base*/
16873  0, /*tp_dict*/
16874  0, /*tp_descr_get*/
16875  0, /*tp_descr_set*/
16876  0, /*tp_dictoffset*/
16877  0, /*tp_init*/
16878  0, /*tp_alloc*/
16879  __pyx_tp_new_8PyClical_clifford, /*tp_new*/
16880  0, /*tp_free*/
16881  0, /*tp_is_gc*/
16882  0, /*tp_bases*/
16883  0, /*tp_mro*/
16884  0, /*tp_cache*/
16885  0, /*tp_subclasses*/
16886  0, /*tp_weaklist*/
16887  0, /*tp_del*/
16888  #if PY_VERSION_HEX >= 0x02060000
16889  0, /*tp_version_tag*/
16890  #endif
16891  };
16892 
16893  static PyMethodDef __pyx_methods[] = {
16894  {__Pyx_NAMESTR("compare"), (PyCFunction)__pyx_pw_8PyClical_3compare, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_2compare)},
16895  {__Pyx_NAMESTR("min_neg"), (PyCFunction)__pyx_pw_8PyClical_5min_neg, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_4min_neg)},
16896  {__Pyx_NAMESTR("max_pos"), (PyCFunction)__pyx_pw_8PyClical_7max_pos, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_6max_pos)},
16897  {__Pyx_NAMESTR("inv"), (PyCFunction)__pyx_pw_8PyClical_11inv, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_10inv)},
16898  {__Pyx_NAMESTR("scalar"), (PyCFunction)__pyx_pw_8PyClical_13scalar, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_12scalar)},
16899  {__Pyx_NAMESTR("real"), (PyCFunction)__pyx_pw_8PyClical_15real, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_14real)},
16900  {__Pyx_NAMESTR("imag"), (PyCFunction)__pyx_pw_8PyClical_17imag, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_16imag)},
16901  {__Pyx_NAMESTR("pure"), (PyCFunction)__pyx_pw_8PyClical_19pure, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_18pure)},
16902  {__Pyx_NAMESTR("even"), (PyCFunction)__pyx_pw_8PyClical_21even, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_20even)},
16903  {__Pyx_NAMESTR("odd"), (PyCFunction)__pyx_pw_8PyClical_23odd, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_22odd)},
16904  {__Pyx_NAMESTR("involute"), (PyCFunction)__pyx_pw_8PyClical_25involute, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_24involute)},
16905  {__Pyx_NAMESTR("reverse"), (PyCFunction)__pyx_pw_8PyClical_27reverse, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_26reverse)},
16906  {__Pyx_NAMESTR("conj"), (PyCFunction)__pyx_pw_8PyClical_29conj, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_28conj)},
16907  {__Pyx_NAMESTR("quad"), (PyCFunction)__pyx_pw_8PyClical_31quad, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_30quad)},
16908  {__Pyx_NAMESTR("norm"), (PyCFunction)__pyx_pw_8PyClical_33norm, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_32norm)},
16909  {__Pyx_NAMESTR("abs"), (PyCFunction)__pyx_pw_8PyClical_35abs, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_34abs)},
16910  {__Pyx_NAMESTR("max_abs"), (PyCFunction)__pyx_pw_8PyClical_37max_abs, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_36max_abs)},
16911  {__Pyx_NAMESTR("pow"), (PyCFunction)__pyx_pw_8PyClical_39pow, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_38pow)},
16912  {__Pyx_NAMESTR("outer_pow"), (PyCFunction)__pyx_pw_8PyClical_41outer_pow, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_40outer_pow)},
16913  {__Pyx_NAMESTR("complexifier"), (PyCFunction)__pyx_pw_8PyClical_43complexifier, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_42complexifier)},
16914  {__Pyx_NAMESTR("sqrt"), (PyCFunction)__pyx_pw_8PyClical_45sqrt, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_44sqrt)},
16915  {__Pyx_NAMESTR("exp"), (PyCFunction)__pyx_pw_8PyClical_47exp, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_46exp)},
16916  {__Pyx_NAMESTR("log"), (PyCFunction)__pyx_pw_8PyClical_49log, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_48log)},
16917  {__Pyx_NAMESTR("cos"), (PyCFunction)__pyx_pw_8PyClical_51cos, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_50cos)},
16918  {__Pyx_NAMESTR("acos"), (PyCFunction)__pyx_pw_8PyClical_53acos, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_52acos)},
16919  {__Pyx_NAMESTR("cosh"), (PyCFunction)__pyx_pw_8PyClical_55cosh, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_54cosh)},
16920  {__Pyx_NAMESTR("acosh"), (PyCFunction)__pyx_pw_8PyClical_57acosh, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_56acosh)},
16921  {__Pyx_NAMESTR("sin"), (PyCFunction)__pyx_pw_8PyClical_59sin, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_58sin)},
16922  {__Pyx_NAMESTR("asin"), (PyCFunction)__pyx_pw_8PyClical_61asin, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_60asin)},
16923  {__Pyx_NAMESTR("sinh"), (PyCFunction)__pyx_pw_8PyClical_63sinh, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_62sinh)},
16924  {__Pyx_NAMESTR("asinh"), (PyCFunction)__pyx_pw_8PyClical_65asinh, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_64asinh)},
16925  {__Pyx_NAMESTR("tan"), (PyCFunction)__pyx_pw_8PyClical_67tan, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_66tan)},
16926  {__Pyx_NAMESTR("atan"), (PyCFunction)__pyx_pw_8PyClical_69atan, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_68atan)},
16927  {__Pyx_NAMESTR("tanh"), (PyCFunction)__pyx_pw_8PyClical_71tanh, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_70tanh)},
16928  {__Pyx_NAMESTR("atanh"), (PyCFunction)__pyx_pw_8PyClical_73atanh, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_72atanh)},
16929  {__Pyx_NAMESTR("random_clifford"), (PyCFunction)__pyx_pw_8PyClical_75random_clifford, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8PyClical_74random_clifford)},
16930  {__Pyx_NAMESTR("cga3"), (PyCFunction)__pyx_pw_8PyClical_77cga3, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_76cga3)},
16931  {__Pyx_NAMESTR("cga3std"), (PyCFunction)__pyx_pw_8PyClical_79cga3std, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_78cga3std)},
16932  {__Pyx_NAMESTR("agc3"), (PyCFunction)__pyx_pw_8PyClical_81agc3, METH_O, __Pyx_DOCSTR(__pyx_doc_8PyClical_80agc3)},
16933  {0, 0, 0, 0}
16934  };
16935 
16936  #if PY_MAJOR_VERSION >= 3
16937  static struct PyModuleDef __pyx_moduledef = {
16938  #if PY_VERSION_HEX < 0x03020000
16939  { PyObject_HEAD_INIT(NULL) NULL, 0, NULL },
16940  #else
16941  PyModuleDef_HEAD_INIT,
16942  #endif
16943  __Pyx_NAMESTR("PyClical"),
16944  0, /* m_doc */
16945  -1, /* m_size */
16946  __pyx_methods /* m_methods */,
16947  NULL, /* m_reload */
16948  NULL, /* m_traverse */
16949  NULL, /* m_clear */
16950  NULL /* m_free */
16951  };
16952  #endif
16953 
16954 static __Pyx_StringTabEntry __pyx_string_tab[] = {
16955  {&__pyx_kp_s_1, __pyx_k_1, sizeof(__pyx_k_1), 0, 0, 1, 0},
16956  {&__pyx_kp_s_10, __pyx_k_10, sizeof(__pyx_k_10), 0, 0, 1, 0},
16957  {&__pyx_kp_u_100, __pyx_k_100, sizeof(__pyx_k_100), 0, 1, 0, 0},
16958  {&__pyx_kp_u_101, __pyx_k_101, sizeof(__pyx_k_101), 0, 1, 0, 0},
16959  {&__pyx_kp_u_102, __pyx_k_102, sizeof(__pyx_k_102), 0, 1, 0, 0},
16960  {&__pyx_kp_u_103, __pyx_k_103, sizeof(__pyx_k_103), 0, 1, 0, 0},
16961  {&__pyx_kp_u_104, __pyx_k_104, sizeof(__pyx_k_104), 0, 1, 0, 0},
16962  {&__pyx_kp_u_105, __pyx_k_105, sizeof(__pyx_k_105), 0, 1, 0, 0},
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16964  {&__pyx_kp_u_107, __pyx_k_107, sizeof(__pyx_k_107), 0, 1, 0, 0},
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16968  {&__pyx_kp_u_110, __pyx_k_110, sizeof(__pyx_k_110), 0, 1, 0, 0},
16969  {&__pyx_kp_u_111, __pyx_k_111, sizeof(__pyx_k_111), 0, 1, 0, 0},
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16974  {&__pyx_kp_u_116, __pyx_k_116, sizeof(__pyx_k_116), 0, 1, 0, 0},
16975  {&__pyx_kp_u_117, __pyx_k_117, sizeof(__pyx_k_117), 0, 1, 0, 0},
16976  {&__pyx_kp_u_118, __pyx_k_118, sizeof(__pyx_k_118), 0, 1, 0, 0},
16977  {&__pyx_kp_u_119, __pyx_k_119, sizeof(__pyx_k_119), 0, 1, 0, 0},
16978  {&__pyx_kp_s_12, __pyx_k_12, sizeof(__pyx_k_12), 0, 0, 1, 0},
16979  {&__pyx_kp_u_120, __pyx_k_120, sizeof(__pyx_k_120), 0, 1, 0, 0},
16980  {&__pyx_kp_u_121, __pyx_k_121, sizeof(__pyx_k_121), 0, 1, 0, 0},
16981  {&__pyx_kp_u_122, __pyx_k_122, sizeof(__pyx_k_122), 0, 1, 0, 0},
16982  {&__pyx_kp_u_123, __pyx_k_123, sizeof(__pyx_k_123), 0, 1, 0, 0},
16983  {&__pyx_kp_u_124, __pyx_k_124, sizeof(__pyx_k_124), 0, 1, 0, 0},
16984  {&__pyx_kp_u_125, __pyx_k_125, sizeof(__pyx_k_125), 0, 1, 0, 0},
16985  {&__pyx_kp_u_126, __pyx_k_126, sizeof(__pyx_k_126), 0, 1, 0, 0},
16986  {&__pyx_kp_u_127, __pyx_k_127, sizeof(__pyx_k_127), 0, 1, 0, 0},
16987  {&__pyx_kp_u_128, __pyx_k_128, sizeof(__pyx_k_128), 0, 1, 0, 0},
16988  {&__pyx_kp_u_129, __pyx_k_129, sizeof(__pyx_k_129), 0, 1, 0, 0},
16989  {&__pyx_kp_s_13, __pyx_k_13, sizeof(__pyx_k_13), 0, 0, 1, 0},
16990  {&__pyx_kp_u_130, __pyx_k_130, sizeof(__pyx_k_130), 0, 1, 0, 0},
16991  {&__pyx_kp_u_131, __pyx_k_131, sizeof(__pyx_k_131), 0, 1, 0, 0},
16992  {&__pyx_kp_u_132, __pyx_k_132, sizeof(__pyx_k_132), 0, 1, 0, 0},
16993  {&__pyx_kp_u_133, __pyx_k_133, sizeof(__pyx_k_133), 0, 1, 0, 0},
16994  {&__pyx_kp_u_134, __pyx_k_134, sizeof(__pyx_k_134), 0, 1, 0, 0},
16995  {&__pyx_kp_u_135, __pyx_k_135, sizeof(__pyx_k_135), 0, 1, 0, 0},
16996  {&__pyx_kp_u_136, __pyx_k_136, sizeof(__pyx_k_136), 0, 1, 0, 0},
16997  {&__pyx_kp_u_137, __pyx_k_137, sizeof(__pyx_k_137), 0, 1, 0, 0},
16998  {&__pyx_kp_u_138, __pyx_k_138, sizeof(__pyx_k_138), 0, 1, 0, 0},
16999  {&__pyx_kp_u_139, __pyx_k_139, sizeof(__pyx_k_139), 0, 1, 0, 0},
17000  {&__pyx_kp_u_140, __pyx_k_140, sizeof(__pyx_k_140), 0, 1, 0, 0},
17001  {&__pyx_kp_u_141, __pyx_k_141, sizeof(__pyx_k_141), 0, 1, 0, 0},
17002  {&__pyx_kp_u_142, __pyx_k_142, sizeof(__pyx_k_142), 0, 1, 0, 0},
17003  {&__pyx_kp_u_143, __pyx_k_143, sizeof(__pyx_k_143), 0, 1, 0, 0},
17004  {&__pyx_kp_u_144, __pyx_k_144, sizeof(__pyx_k_144), 0, 1, 0, 0},
17005  {&__pyx_kp_u_145, __pyx_k_145, sizeof(__pyx_k_145), 0, 1, 0, 0},
17006  {&__pyx_kp_u_146, __pyx_k_146, sizeof(__pyx_k_146), 0, 1, 0, 0},
17007  {&__pyx_kp_u_147, __pyx_k_147, sizeof(__pyx_k_147), 0, 1, 0, 0},
17008  {&__pyx_kp_u_148, __pyx_k_148, sizeof(__pyx_k_148), 0, 1, 0, 0},
17009  {&__pyx_kp_u_149, __pyx_k_149, sizeof(__pyx_k_149), 0, 1, 0, 0},
17010  {&__pyx_kp_u_150, __pyx_k_150, sizeof(__pyx_k_150), 0, 1, 0, 0},
17011  {&__pyx_kp_u_151, __pyx_k_151, sizeof(__pyx_k_151), 0, 1, 0, 0},
17012  {&__pyx_kp_u_152, __pyx_k_152, sizeof(__pyx_k_152), 0, 1, 0, 0},
17013  {&__pyx_kp_u_153, __pyx_k_153, sizeof(__pyx_k_153), 0, 1, 0, 0},
17014  {&__pyx_kp_u_154, __pyx_k_154, sizeof(__pyx_k_154), 0, 1, 0, 0},
17015  {&__pyx_kp_u_155, __pyx_k_155, sizeof(__pyx_k_155), 0, 1, 0, 0},
17016  {&__pyx_kp_u_156, __pyx_k_156, sizeof(__pyx_k_156), 0, 1, 0, 0},
17017  {&__pyx_kp_u_157, __pyx_k_157, sizeof(__pyx_k_157), 0, 1, 0, 0},
17018  {&__pyx_kp_u_158, __pyx_k_158, sizeof(__pyx_k_158), 0, 1, 0, 0},
17019  {&__pyx_kp_u_159, __pyx_k_159, sizeof(__pyx_k_159), 0, 1, 0, 0},
17020  {&__pyx_kp_s_16, __pyx_k_16, sizeof(__pyx_k_16), 0, 0, 1, 0},
17021  {&__pyx_kp_u_160, __pyx_k_160, sizeof(__pyx_k_160), 0, 1, 0, 0},
17022  {&__pyx_kp_u_161, __pyx_k_161, sizeof(__pyx_k_161), 0, 1, 0, 0},
17023  {&__pyx_kp_u_162, __pyx_k_162, sizeof(__pyx_k_162), 0, 1, 0, 0},
17024  {&__pyx_kp_u_163, __pyx_k_163, sizeof(__pyx_k_163), 0, 1, 0, 0},
17025  {&__pyx_kp_u_164, __pyx_k_164, sizeof(__pyx_k_164), 0, 1, 0, 0},
17026  {&__pyx_kp_u_165, __pyx_k_165, sizeof(__pyx_k_165), 0, 1, 0, 0},
17027  {&__pyx_kp_u_166, __pyx_k_166, sizeof(__pyx_k_166), 0, 1, 0, 0},
17028  {&__pyx_kp_u_167, __pyx_k_167, sizeof(__pyx_k_167), 0, 1, 0, 0},
17029  {&__pyx_kp_u_168, __pyx_k_168, sizeof(__pyx_k_168), 0, 1, 0, 0},
17030  {&__pyx_kp_u_169, __pyx_k_169, sizeof(__pyx_k_169), 0, 1, 0, 0},
17031  {&__pyx_kp_s_17, __pyx_k_17, sizeof(__pyx_k_17), 0, 0, 1, 0},
17032  {&__pyx_kp_u_170, __pyx_k_170, sizeof(__pyx_k_170), 0, 1, 0, 0},
17033  {&__pyx_kp_u_171, __pyx_k_171, sizeof(__pyx_k_171), 0, 1, 0, 0},
17034  {&__pyx_kp_u_172, __pyx_k_172, sizeof(__pyx_k_172), 0, 1, 0, 0},
17035  {&__pyx_kp_u_173, __pyx_k_173, sizeof(__pyx_k_173), 0, 1, 0, 0},
17036  {&__pyx_kp_u_174, __pyx_k_174, sizeof(__pyx_k_174), 0, 1, 0, 0},
17037  {&__pyx_kp_u_175, __pyx_k_175, sizeof(__pyx_k_175), 0, 1, 0, 0},
17038  {&__pyx_kp_u_176, __pyx_k_176, sizeof(__pyx_k_176), 0, 1, 0, 0},
17039  {&__pyx_kp_u_177, __pyx_k_177, sizeof(__pyx_k_177), 0, 1, 0, 0},
17040  {&__pyx_kp_u_178, __pyx_k_178, sizeof(__pyx_k_178), 0, 1, 0, 0},
17041  {&__pyx_kp_u_179, __pyx_k_179, sizeof(__pyx_k_179), 0, 1, 0, 0},
17042  {&__pyx_kp_s_18, __pyx_k_18, sizeof(__pyx_k_18), 0, 0, 1, 0},
17043  {&__pyx_kp_u_180, __pyx_k_180, sizeof(__pyx_k_180), 0, 1, 0, 0},
17044  {&__pyx_kp_u_181, __pyx_k_181, sizeof(__pyx_k_181), 0, 1, 0, 0},
17045  {&__pyx_kp_u_182, __pyx_k_182, sizeof(__pyx_k_182), 0, 1, 0, 0},
17046  {&__pyx_kp_u_183, __pyx_k_183, sizeof(__pyx_k_183), 0, 1, 0, 0},
17047  {&__pyx_kp_u_184, __pyx_k_184, sizeof(__pyx_k_184), 0, 1, 0, 0},
17048  {&__pyx_kp_u_185, __pyx_k_185, sizeof(__pyx_k_185), 0, 1, 0, 0},
17049  {&__pyx_kp_u_186, __pyx_k_186, sizeof(__pyx_k_186), 0, 1, 0, 0},
17050  {&__pyx_kp_u_187, __pyx_k_187, sizeof(__pyx_k_187), 0, 1, 0, 0},
17051  {&__pyx_kp_u_188, __pyx_k_188, sizeof(__pyx_k_188), 0, 1, 0, 0},
17052  {&__pyx_kp_u_189, __pyx_k_189, sizeof(__pyx_k_189), 0, 1, 0, 0},
17053  {&__pyx_kp_s_19, __pyx_k_19, sizeof(__pyx_k_19), 0, 0, 1, 0},
17054  {&__pyx_kp_u_190, __pyx_k_190, sizeof(__pyx_k_190), 0, 1, 0, 0},
17055  {&__pyx_kp_u_191, __pyx_k_191, sizeof(__pyx_k_191), 0, 1, 0, 0},
17056  {&__pyx_kp_u_192, __pyx_k_192, sizeof(__pyx_k_192), 0, 1, 0, 0},
17057  {&__pyx_kp_u_193, __pyx_k_193, sizeof(__pyx_k_193), 0, 1, 0, 0},
17058  {&__pyx_kp_u_194, __pyx_k_194, sizeof(__pyx_k_194), 0, 1, 0, 0},
17059  {&__pyx_kp_u_195, __pyx_k_195, sizeof(__pyx_k_195), 0, 1, 0, 0},
17060  {&__pyx_kp_u_196, __pyx_k_196, sizeof(__pyx_k_196), 0, 1, 0, 0},
17061  {&__pyx_kp_u_197, __pyx_k_197, sizeof(__pyx_k_197), 0, 1, 0, 0},
17062  {&__pyx_kp_u_198, __pyx_k_198, sizeof(__pyx_k_198), 0, 1, 0, 0},
17063  {&__pyx_kp_u_199, __pyx_k_199, sizeof(__pyx_k_199), 0, 1, 0, 0},
17064  {&__pyx_kp_s_2, __pyx_k_2, sizeof(__pyx_k_2), 0, 0, 1, 0},
17065  {&__pyx_kp_s_20, __pyx_k_20, sizeof(__pyx_k_20), 0, 0, 1, 0},
17066  {&__pyx_kp_u_200, __pyx_k_200, sizeof(__pyx_k_200), 0, 1, 0, 0},
17067  {&__pyx_kp_u_201, __pyx_k_201, sizeof(__pyx_k_201), 0, 1, 0, 0},
17068  {&__pyx_kp_u_202, __pyx_k_202, sizeof(__pyx_k_202), 0, 1, 0, 0},
17069  {&__pyx_kp_u_203, __pyx_k_203, sizeof(__pyx_k_203), 0, 1, 0, 0},
17070  {&__pyx_kp_u_204, __pyx_k_204, sizeof(__pyx_k_204), 0, 1, 0, 0},
17071  {&__pyx_kp_u_205, __pyx_k_205, sizeof(__pyx_k_205), 0, 1, 0, 0},
17072  {&__pyx_kp_u_206, __pyx_k_206, sizeof(__pyx_k_206), 0, 1, 0, 0},
17073  {&__pyx_kp_u_207, __pyx_k_207, sizeof(__pyx_k_207), 0, 1, 0, 0},
17074  {&__pyx_kp_u_208, __pyx_k_208, sizeof(__pyx_k_208), 0, 1, 0, 0},
17075  {&__pyx_kp_u_209, __pyx_k_209, sizeof(__pyx_k_209), 0, 1, 0, 0},
17076  {&__pyx_kp_s_21, __pyx_k_21, sizeof(__pyx_k_21), 0, 0, 1, 0},
17077  {&__pyx_kp_u_210, __pyx_k_210, sizeof(__pyx_k_210), 0, 1, 0, 0},
17078  {&__pyx_kp_u_211, __pyx_k_211, sizeof(__pyx_k_211), 0, 1, 0, 0},
17079  {&__pyx_kp_u_212, __pyx_k_212, sizeof(__pyx_k_212), 0, 1, 0, 0},
17080  {&__pyx_kp_u_213, __pyx_k_213, sizeof(__pyx_k_213), 0, 1, 0, 0},
17081  {&__pyx_kp_u_214, __pyx_k_214, sizeof(__pyx_k_214), 0, 1, 0, 0},
17082  {&__pyx_kp_u_215, __pyx_k_215, sizeof(__pyx_k_215), 0, 1, 0, 0},
17083  {&__pyx_kp_u_216, __pyx_k_216, sizeof(__pyx_k_216), 0, 1, 0, 0},
17084  {&__pyx_kp_u_217, __pyx_k_217, sizeof(__pyx_k_217), 0, 1, 0, 0},
17085  {&__pyx_kp_u_218, __pyx_k_218, sizeof(__pyx_k_218), 0, 1, 0, 0},
17086  {&__pyx_kp_u_219, __pyx_k_219, sizeof(__pyx_k_219), 0, 1, 0, 0},
17087  {&__pyx_kp_s_22, __pyx_k_22, sizeof(__pyx_k_22), 0, 0, 1, 0},
17088  {&__pyx_kp_u_220, __pyx_k_220, sizeof(__pyx_k_220), 0, 1, 0, 0},
17089  {&__pyx_kp_u_221, __pyx_k_221, sizeof(__pyx_k_221), 0, 1, 0, 0},
17090  {&__pyx_kp_u_222, __pyx_k_222, sizeof(__pyx_k_222), 0, 1, 0, 0},
17091  {&__pyx_kp_u_223, __pyx_k_223, sizeof(__pyx_k_223), 0, 1, 0, 0},
17092  {&__pyx_kp_u_224, __pyx_k_224, sizeof(__pyx_k_224), 0, 1, 0, 0},
17093  {&__pyx_kp_u_225, __pyx_k_225, sizeof(__pyx_k_225), 0, 1, 0, 0},
17094  {&__pyx_kp_u_226, __pyx_k_226, sizeof(__pyx_k_226), 0, 1, 0, 0},
17095  {&__pyx_kp_u_227, __pyx_k_227, sizeof(__pyx_k_227), 0, 1, 0, 0},
17096  {&__pyx_kp_u_228, __pyx_k_228, sizeof(__pyx_k_228), 0, 1, 0, 0},
17097  {&__pyx_kp_u_229, __pyx_k_229, sizeof(__pyx_k_229), 0, 1, 0, 0},
17098  {&__pyx_kp_s_23, __pyx_k_23, sizeof(__pyx_k_23), 0, 0, 1, 0},
17099  {&__pyx_kp_u_230, __pyx_k_230, sizeof(__pyx_k_230), 0, 1, 0, 0},
17100  {&__pyx_kp_u_231, __pyx_k_231, sizeof(__pyx_k_231), 0, 1, 0, 0},
17101  {&__pyx_kp_u_232, __pyx_k_232, sizeof(__pyx_k_232), 0, 1, 0, 0},
17102  {&__pyx_kp_u_233, __pyx_k_233, sizeof(__pyx_k_233), 0, 1, 0, 0},
17103  {&__pyx_kp_u_234, __pyx_k_234, sizeof(__pyx_k_234), 0, 1, 0, 0},
17104  {&__pyx_kp_u_235, __pyx_k_235, sizeof(__pyx_k_235), 0, 1, 0, 0},
17105  {&__pyx_kp_u_236, __pyx_k_236, sizeof(__pyx_k_236), 0, 1, 0, 0},
17106  {&__pyx_kp_u_237, __pyx_k_237, sizeof(__pyx_k_237), 0, 1, 0, 0},
17107  {&__pyx_kp_u_238, __pyx_k_238, sizeof(__pyx_k_238), 0, 1, 0, 0},
17108  {&__pyx_kp_u_239, __pyx_k_239, sizeof(__pyx_k_239), 0, 1, 0, 0},
17109  {&__pyx_kp_u_240, __pyx_k_240, sizeof(__pyx_k_240), 0, 1, 0, 0},
17110  {&__pyx_kp_u_241, __pyx_k_241, sizeof(__pyx_k_241), 0, 1, 0, 0},
17111  {&__pyx_kp_u_242, __pyx_k_242, sizeof(__pyx_k_242), 0, 1, 0, 0},
17112  {&__pyx_kp_u_243, __pyx_k_243, sizeof(__pyx_k_243), 0, 1, 0, 0},
17113  {&__pyx_kp_u_244, __pyx_k_244, sizeof(__pyx_k_244), 0, 1, 0, 0},
17114  {&__pyx_kp_u_245, __pyx_k_245, sizeof(__pyx_k_245), 0, 1, 0, 0},
17115  {&__pyx_kp_u_246, __pyx_k_246, sizeof(__pyx_k_246), 0, 1, 0, 0},
17116  {&__pyx_kp_u_247, __pyx_k_247, sizeof(__pyx_k_247), 0, 1, 0, 0},
17117  {&__pyx_kp_u_248, __pyx_k_248, sizeof(__pyx_k_248), 0, 1, 0, 0},
17118  {&__pyx_kp_u_249, __pyx_k_249, sizeof(__pyx_k_249), 0, 1, 0, 0},
17119  {&__pyx_kp_s_25, __pyx_k_25, sizeof(__pyx_k_25), 0, 0, 1, 0},
17120  {&__pyx_kp_u_250, __pyx_k_250, sizeof(__pyx_k_250), 0, 1, 0, 0},
17121  {&__pyx_kp_u_251, __pyx_k_251, sizeof(__pyx_k_251), 0, 1, 0, 0},
17122  {&__pyx_kp_u_252, __pyx_k_252, sizeof(__pyx_k_252), 0, 1, 0, 0},
17123  {&__pyx_kp_u_253, __pyx_k_253, sizeof(__pyx_k_253), 0, 1, 0, 0},
17124  {&__pyx_kp_u_254, __pyx_k_254, sizeof(__pyx_k_254), 0, 1, 0, 0},
17125  {&__pyx_n_s_27, __pyx_k_27, sizeof(__pyx_k_27), 0, 0, 1, 1},
17126  {&__pyx_kp_s_28, __pyx_k_28, sizeof(__pyx_k_28), 0, 0, 1, 0},
17127  {&__pyx_kp_s_3, __pyx_k_3, sizeof(__pyx_k_3), 0, 0, 1, 0},
17128  {&__pyx_n_s_30, __pyx_k_30, sizeof(__pyx_k_30), 0, 0, 1, 1},
17129  {&__pyx_kp_s_4, __pyx_k_4, sizeof(__pyx_k_4), 0, 0, 1, 0},
17130  {&__pyx_kp_u_41, __pyx_k_41, sizeof(__pyx_k_41), 0, 1, 0, 0},
17131  {&__pyx_kp_u_42, __pyx_k_42, sizeof(__pyx_k_42), 0, 1, 0, 0},
17132  {&__pyx_kp_u_43, __pyx_k_43, sizeof(__pyx_k_43), 0, 1, 0, 0},
17133  {&__pyx_kp_u_44, __pyx_k_44, sizeof(__pyx_k_44), 0, 1, 0, 0},
17134  {&__pyx_kp_u_45, __pyx_k_45, sizeof(__pyx_k_45), 0, 1, 0, 0},
17135  {&__pyx_kp_u_46, __pyx_k_46, sizeof(__pyx_k_46), 0, 1, 0, 0},
17136  {&__pyx_kp_u_47, __pyx_k_47, sizeof(__pyx_k_47), 0, 1, 0, 0},
17137  {&__pyx_kp_u_48, __pyx_k_48, sizeof(__pyx_k_48), 0, 1, 0, 0},
17138  {&__pyx_kp_u_49, __pyx_k_49, sizeof(__pyx_k_49), 0, 1, 0, 0},
17139  {&__pyx_kp_s_5, __pyx_k_5, sizeof(__pyx_k_5), 0, 0, 1, 0},
17140  {&__pyx_kp_u_50, __pyx_k_50, sizeof(__pyx_k_50), 0, 1, 0, 0},
17141  {&__pyx_kp_u_51, __pyx_k_51, sizeof(__pyx_k_51), 0, 1, 0, 0},
17142  {&__pyx_kp_u_52, __pyx_k_52, sizeof(__pyx_k_52), 0, 1, 0, 0},
17143  {&__pyx_kp_u_53, __pyx_k_53, sizeof(__pyx_k_53), 0, 1, 0, 0},
17144  {&__pyx_kp_u_54, __pyx_k_54, sizeof(__pyx_k_54), 0, 1, 0, 0},
17145  {&__pyx_kp_u_55, __pyx_k_55, sizeof(__pyx_k_55), 0, 1, 0, 0},
17146  {&__pyx_kp_u_56, __pyx_k_56, sizeof(__pyx_k_56), 0, 1, 0, 0},
17147  {&__pyx_kp_u_57, __pyx_k_57, sizeof(__pyx_k_57), 0, 1, 0, 0},
17148  {&__pyx_kp_u_58, __pyx_k_58, sizeof(__pyx_k_58), 0, 1, 0, 0},
17149  {&__pyx_kp_u_59, __pyx_k_59, sizeof(__pyx_k_59), 0, 1, 0, 0},
17150  {&__pyx_kp_s_6, __pyx_k_6, sizeof(__pyx_k_6), 0, 0, 1, 0},
17151  {&__pyx_kp_u_60, __pyx_k_60, sizeof(__pyx_k_60), 0, 1, 0, 0},
17152  {&__pyx_kp_u_61, __pyx_k_61, sizeof(__pyx_k_61), 0, 1, 0, 0},
17153  {&__pyx_kp_u_62, __pyx_k_62, sizeof(__pyx_k_62), 0, 1, 0, 0},
17154  {&__pyx_kp_u_63, __pyx_k_63, sizeof(__pyx_k_63), 0, 1, 0, 0},
17155  {&__pyx_kp_u_64, __pyx_k_64, sizeof(__pyx_k_64), 0, 1, 0, 0},
17156  {&__pyx_kp_u_65, __pyx_k_65, sizeof(__pyx_k_65), 0, 1, 0, 0},
17157  {&__pyx_kp_u_66, __pyx_k_66, sizeof(__pyx_k_66), 0, 1, 0, 0},
17158  {&__pyx_kp_u_67, __pyx_k_67, sizeof(__pyx_k_67), 0, 1, 0, 0},
17159  {&__pyx_kp_u_68, __pyx_k_68, sizeof(__pyx_k_68), 0, 1, 0, 0},
17160  {&__pyx_kp_u_69, __pyx_k_69, sizeof(__pyx_k_69), 0, 1, 0, 0},
17161  {&__pyx_kp_s_7, __pyx_k_7, sizeof(__pyx_k_7), 0, 0, 1, 0},
17162  {&__pyx_kp_u_70, __pyx_k_70, sizeof(__pyx_k_70), 0, 1, 0, 0},
17163  {&__pyx_kp_u_71, __pyx_k_71, sizeof(__pyx_k_71), 0, 1, 0, 0},
17164  {&__pyx_kp_u_72, __pyx_k_72, sizeof(__pyx_k_72), 0, 1, 0, 0},
17165  {&__pyx_kp_u_73, __pyx_k_73, sizeof(__pyx_k_73), 0, 1, 0, 0},
17166  {&__pyx_kp_u_74, __pyx_k_74, sizeof(__pyx_k_74), 0, 1, 0, 0},
17167  {&__pyx_kp_u_75, __pyx_k_75, sizeof(__pyx_k_75), 0, 1, 0, 0},
17168  {&__pyx_kp_u_76, __pyx_k_76, sizeof(__pyx_k_76), 0, 1, 0, 0},
17169  {&__pyx_kp_u_77, __pyx_k_77, sizeof(__pyx_k_77), 0, 1, 0, 0},
17170  {&__pyx_kp_u_78, __pyx_k_78, sizeof(__pyx_k_78), 0, 1, 0, 0},
17171  {&__pyx_kp_u_79, __pyx_k_79, sizeof(__pyx_k_79), 0, 1, 0, 0},
17172  {&__pyx_kp_s_8, __pyx_k_8, sizeof(__pyx_k_8), 0, 0, 1, 0},
17173  {&__pyx_kp_u_80, __pyx_k_80, sizeof(__pyx_k_80), 0, 1, 0, 0},
17174  {&__pyx_kp_u_81, __pyx_k_81, sizeof(__pyx_k_81), 0, 1, 0, 0},
17175  {&__pyx_kp_u_82, __pyx_k_82, sizeof(__pyx_k_82), 0, 1, 0, 0},
17176  {&__pyx_kp_u_83, __pyx_k_83, sizeof(__pyx_k_83), 0, 1, 0, 0},
17177  {&__pyx_kp_u_84, __pyx_k_84, sizeof(__pyx_k_84), 0, 1, 0, 0},
17178  {&__pyx_kp_u_85, __pyx_k_85, sizeof(__pyx_k_85), 0, 1, 0, 0},
17179  {&__pyx_kp_u_86, __pyx_k_86, sizeof(__pyx_k_86), 0, 1, 0, 0},
17180  {&__pyx_kp_u_87, __pyx_k_87, sizeof(__pyx_k_87), 0, 1, 0, 0},
17181  {&__pyx_kp_u_88, __pyx_k_88, sizeof(__pyx_k_88), 0, 1, 0, 0},
17182  {&__pyx_kp_u_89, __pyx_k_89, sizeof(__pyx_k_89), 0, 1, 0, 0},
17183  {&__pyx_kp_s_9, __pyx_k_9, sizeof(__pyx_k_9), 0, 0, 1, 0},
17184  {&__pyx_kp_u_90, __pyx_k_90, sizeof(__pyx_k_90), 0, 1, 0, 0},
17185  {&__pyx_kp_u_91, __pyx_k_91, sizeof(__pyx_k_91), 0, 1, 0, 0},
17186  {&__pyx_kp_u_92, __pyx_k_92, sizeof(__pyx_k_92), 0, 1, 0, 0},
17187  {&__pyx_kp_u_93, __pyx_k_93, sizeof(__pyx_k_93), 0, 1, 0, 0},
17188  {&__pyx_kp_u_94, __pyx_k_94, sizeof(__pyx_k_94), 0, 1, 0, 0},
17189  {&__pyx_kp_u_95, __pyx_k_95, sizeof(__pyx_k_95), 0, 1, 0, 0},
17190  {&__pyx_kp_u_96, __pyx_k_96, sizeof(__pyx_k_96), 0, 1, 0, 0},
17191  {&__pyx_kp_u_97, __pyx_k_97, sizeof(__pyx_k_97), 0, 1, 0, 0},
17192  {&__pyx_kp_u_98, __pyx_k_98, sizeof(__pyx_k_98), 0, 1, 0, 0},
17193  {&__pyx_kp_u_99, __pyx_k_99, sizeof(__pyx_k_99), 0, 1, 0, 0},
17194  {&__pyx_n_s__IndexError, __pyx_k__IndexError, sizeof(__pyx_k__IndexError), 0, 0, 1, 1},
17195  {&__pyx_n_s__Integral, __pyx_k__Integral, sizeof(__pyx_k__Integral), 0, 0, 1, 1},
17196  {&__pyx_n_s__NotImplemented, __pyx_k__NotImplemented, sizeof(__pyx_k__NotImplemented), 0, 0, 1, 1},
17197  {&__pyx_n_s__PyClical, __pyx_k__PyClical, sizeof(__pyx_k__PyClical), 0, 0, 1, 1},
17198  {&__pyx_n_s__Real, __pyx_k__Real, sizeof(__pyx_k__Real), 0, 0, 1, 1},
17199  {&__pyx_n_s__RuntimeError, __pyx_k__RuntimeError, sizeof(__pyx_k__RuntimeError), 0, 0, 1, 1},
17200  {&__pyx_n_s__Sequence, __pyx_k__Sequence, sizeof(__pyx_k__Sequence), 0, 0, 1, 1},
17201  {&__pyx_n_s__TypeError, __pyx_k__TypeError, sizeof(__pyx_k__TypeError), 0, 0, 1, 1},
17202  {&__pyx_n_s__ValueError, __pyx_k__ValueError, sizeof(__pyx_k__ValueError), 0, 0, 1, 1},
17203  {&__pyx_n_s____import__, __pyx_k____import__, sizeof(__pyx_k____import__), 0, 0, 1, 1},
17204  {&__pyx_n_s____main__, __pyx_k____main__, sizeof(__pyx_k____main__), 0, 0, 1, 1},
17205  {&__pyx_n_s____name__, __pyx_k____name__, sizeof(__pyx_k____name__), 0, 0, 1, 1},
17206  {&__pyx_n_s____pyx_vtable__, __pyx_k____pyx_vtable__, sizeof(__pyx_k____pyx_vtable__), 0, 0, 1, 1},
17207  {&__pyx_n_s____test__, __pyx_k____test__, sizeof(__pyx_k____test__), 0, 0, 1, 1},
17208  {&__pyx_n_s____version__, __pyx_k____version__, sizeof(__pyx_k____version__), 0, 0, 1, 1},
17209  {&__pyx_n_s___test, __pyx_k___test, sizeof(__pyx_k___test), 0, 0, 1, 1},
17210  {&__pyx_n_s__acos, __pyx_k__acos, sizeof(__pyx_k__acos), 0, 0, 1, 1},
17211  {&__pyx_n_s__acosh, __pyx_k__acosh, sizeof(__pyx_k__acosh), 0, 0, 1, 1},
17212  {&__pyx_n_s__args, __pyx_k__args, sizeof(__pyx_k__args), 0, 0, 1, 1},
17213  {&__pyx_n_s__asin, __pyx_k__asin, sizeof(__pyx_k__asin), 0, 0, 1, 1},
17214  {&__pyx_n_s__asinh, __pyx_k__asinh, sizeof(__pyx_k__asinh), 0, 0, 1, 1},
17215  {&__pyx_n_s__atan, __pyx_k__atan, sizeof(__pyx_k__atan), 0, 0, 1, 1},
17216  {&__pyx_n_s__atanh, __pyx_k__atanh, sizeof(__pyx_k__atanh), 0, 0, 1, 1},
17217  {&__pyx_n_s__cl, __pyx_k__cl, sizeof(__pyx_k__cl), 0, 0, 1, 1},
17218  {&__pyx_n_s__close, __pyx_k__close, sizeof(__pyx_k__close), 0, 0, 1, 1},
17219  {&__pyx_n_s__collections, __pyx_k__collections, sizeof(__pyx_k__collections), 0, 0, 1, 1},
17220  {&__pyx_n_s__conj, __pyx_k__conj, sizeof(__pyx_k__conj), 0, 0, 1, 1},
17221  {&__pyx_n_s__copy, __pyx_k__copy, sizeof(__pyx_k__copy), 0, 0, 1, 1},
17222  {&__pyx_n_s__cos, __pyx_k__cos, sizeof(__pyx_k__cos), 0, 0, 1, 1},
17223  {&__pyx_n_s__cosh, __pyx_k__cosh, sizeof(__pyx_k__cosh), 0, 0, 1, 1},
17224  {&__pyx_n_s__doctest, __pyx_k__doctest, sizeof(__pyx_k__doctest), 0, 0, 1, 1},
17225  {&__pyx_n_s__e, __pyx_k__e, sizeof(__pyx_k__e), 0, 0, 1, 1},
17226  {&__pyx_n_s__even, __pyx_k__even, sizeof(__pyx_k__even), 0, 0, 1, 1},
17227  {&__pyx_n_s__exp, __pyx_k__exp, sizeof(__pyx_k__exp), 0, 0, 1, 1},
17228  {&__pyx_n_s__fill, __pyx_k__fill, sizeof(__pyx_k__fill), 0, 0, 1, 1},
17229  {&__pyx_n_s__frm, __pyx_k__frm, sizeof(__pyx_k__frm), 0, 0, 1, 1},
17230  {&__pyx_n_s__grade, __pyx_k__grade, sizeof(__pyx_k__grade), 0, 0, 1, 1},
17231  {&__pyx_n_s__i, __pyx_k__i, sizeof(__pyx_k__i), 0, 0, 1, 1},
17232  {&__pyx_n_s__inv, __pyx_k__inv, sizeof(__pyx_k__inv), 0, 0, 1, 1},
17233  {&__pyx_n_s__involute, __pyx_k__involute, sizeof(__pyx_k__involute), 0, 0, 1, 1},
17234  {&__pyx_n_s__ist, __pyx_k__ist, sizeof(__pyx_k__ist), 0, 0, 1, 1},
17235  {&__pyx_n_s__istpq, __pyx_k__istpq, sizeof(__pyx_k__istpq), 0, 0, 1, 1},
17236  {&__pyx_n_s__ixt, __pyx_k__ixt, sizeof(__pyx_k__ixt), 0, 0, 1, 1},
17237  {&__pyx_n_s__lhs, __pyx_k__lhs, sizeof(__pyx_k__lhs), 0, 0, 1, 1},
17238  {&__pyx_n_s__log, __pyx_k__log, sizeof(__pyx_k__log), 0, 0, 1, 1},
17239  {&__pyx_n_s__m, __pyx_k__m, sizeof(__pyx_k__m), 0, 0, 1, 1},
17240  {&__pyx_n_s__math, __pyx_k__math, sizeof(__pyx_k__math), 0, 0, 1, 1},
17241  {&__pyx_n_s__max, __pyx_k__max, sizeof(__pyx_k__max), 0, 0, 1, 1},
17242  {&__pyx_n_s__min, __pyx_k__min, sizeof(__pyx_k__min), 0, 0, 1, 1},
17243  {&__pyx_n_s__nbar3, __pyx_k__nbar3, sizeof(__pyx_k__nbar3), 0, 0, 1, 1},
17244  {&__pyx_n_s__ninf3, __pyx_k__ninf3, sizeof(__pyx_k__ninf3), 0, 0, 1, 1},
17245  {&__pyx_n_s__norm, __pyx_k__norm, sizeof(__pyx_k__norm), 0, 0, 1, 1},
17246  {&__pyx_n_s__numbers, __pyx_k__numbers, sizeof(__pyx_k__numbers), 0, 0, 1, 1},
17247  {&__pyx_n_s__obj, __pyx_k__obj, sizeof(__pyx_k__obj), 0, 0, 1, 1},
17248  {&__pyx_n_s__odd, __pyx_k__odd, sizeof(__pyx_k__odd), 0, 0, 1, 1},
17249  {&__pyx_n_s__other, __pyx_k__other, sizeof(__pyx_k__other), 0, 0, 1, 1},
17250  {&__pyx_n_s__outer_pow, __pyx_k__outer_pow, sizeof(__pyx_k__outer_pow), 0, 0, 1, 1},
17251  {&__pyx_n_s__p, __pyx_k__p, sizeof(__pyx_k__p), 0, 0, 1, 1},
17252  {&__pyx_n_s__pi, __pyx_k__pi, sizeof(__pyx_k__pi), 0, 0, 1, 1},
17253  {&__pyx_n_s__pow, __pyx_k__pow, sizeof(__pyx_k__pow), 0, 0, 1, 1},
17254  {&__pyx_n_s__pure, __pyx_k__pure, sizeof(__pyx_k__pure), 0, 0, 1, 1},
17255  {&__pyx_n_s__q, __pyx_k__q, sizeof(__pyx_k__q), 0, 0, 1, 1},
17256  {&__pyx_n_s__quad, __pyx_k__quad, sizeof(__pyx_k__quad), 0, 0, 1, 1},
17257  {&__pyx_n_s__range, __pyx_k__range, sizeof(__pyx_k__range), 0, 0, 1, 1},
17258  {&__pyx_n_s__reverse, __pyx_k__reverse, sizeof(__pyx_k__reverse), 0, 0, 1, 1},
17259  {&__pyx_n_s__rhs, __pyx_k__rhs, sizeof(__pyx_k__rhs), 0, 0, 1, 1},
17260  {&__pyx_n_s__scalar, __pyx_k__scalar, sizeof(__pyx_k__scalar), 0, 0, 1, 1},
17261  {&__pyx_n_s__send, __pyx_k__send, sizeof(__pyx_k__send), 0, 0, 1, 1},
17262  {&__pyx_n_s__sin, __pyx_k__sin, sizeof(__pyx_k__sin), 0, 0, 1, 1},
17263  {&__pyx_n_s__sinh, __pyx_k__sinh, sizeof(__pyx_k__sinh), 0, 0, 1, 1},
17264  {&__pyx_n_s__sqrt, __pyx_k__sqrt, sizeof(__pyx_k__sqrt), 0, 0, 1, 1},
17265  {&__pyx_n_s__tan, __pyx_k__tan, sizeof(__pyx_k__tan), 0, 0, 1, 1},
17266  {&__pyx_n_s__tanh, __pyx_k__tanh, sizeof(__pyx_k__tanh), 0, 0, 1, 1},
17267  {&__pyx_n_s__tau, __pyx_k__tau, sizeof(__pyx_k__tau), 0, 0, 1, 1},
17268  {&__pyx_n_s__testmod, __pyx_k__testmod, sizeof(__pyx_k__testmod), 0, 0, 1, 1},
17269  {&__pyx_n_s__throw, __pyx_k__throw, sizeof(__pyx_k__throw), 0, 0, 1, 1},
17270  {&__pyx_n_s__xrange, __pyx_k__xrange, sizeof(__pyx_k__xrange), 0, 0, 1, 1},
17271  {0, 0, 0, 0, 0, 0, 0}
17272 };
17273 static int __Pyx_InitCachedBuiltins(void) {
17274  __pyx_builtin_IndexError = __Pyx_GetBuiltinName(__pyx_n_s__IndexError); if (!__pyx_builtin_IndexError) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 102; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17275  __pyx_builtin_RuntimeError = __Pyx_GetBuiltinName(__pyx_n_s__RuntimeError); if (!__pyx_builtin_RuntimeError) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 104; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17276  __pyx_builtin_TypeError = __Pyx_GetBuiltinName(__pyx_n_s__TypeError); if (!__pyx_builtin_TypeError) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 104; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17277  __pyx_builtin_ValueError = __Pyx_GetBuiltinName(__pyx_n_s__ValueError); if (!__pyx_builtin_ValueError) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 105; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17278  __pyx_builtin_NotImplemented = __Pyx_GetBuiltinName(__pyx_n_s__NotImplemented); if (!__pyx_builtin_NotImplemented) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 157; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17279  __pyx_builtin_range = __Pyx_GetBuiltinName(__pyx_n_s__range); if (!__pyx_builtin_range) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 234; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17280  #if PY_MAJOR_VERSION >= 3
17281  __pyx_builtin_xrange = __Pyx_GetBuiltinName(__pyx_n_s__range); if (!__pyx_builtin_xrange) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1098; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17282  #else
17283  __pyx_builtin_xrange = __Pyx_GetBuiltinName(__pyx_n_s__xrange); if (!__pyx_builtin_xrange) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1098; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17284  #endif
17285  return 0;
17286  __pyx_L1_error:;
17287  return -1;
17288 }
17289 
17290 static int __Pyx_InitCachedConstants(void) {
17291  __Pyx_RefNannyDeclarations
17292  __Pyx_RefNannySetupContext("__Pyx_InitCachedConstants", 0);
17293 
17294  /* "PyClical.pyx":635
17295  * TypeError: Not applicable.
17296  * """
17297  * raise TypeError("Not applicable.") # <<<<<<<<<<<<<<
17298  *
17299  * def __iter__(self):
17300  */
17301  __pyx_k_tuple_14 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_13)); if (unlikely(!__pyx_k_tuple_14)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 635; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17302  __Pyx_GOTREF(__pyx_k_tuple_14);
17303  __Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_14));
17304 
17305  /* "PyClical.pyx":646
17306  * TypeError: Not applicable.
17307  * """
17308  * raise TypeError("Not applicable.") # <<<<<<<<<<<<<<
17309  *
17310  * def reframe(self, ixt):
17311  */
17312  __pyx_k_tuple_15 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_13)); if (unlikely(!__pyx_k_tuple_15)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 646; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17313  __Pyx_GOTREF(__pyx_k_tuple_15);
17314  __Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_15));
17315 
17316  /* "PyClical.pyx":404
17317  * return index_set_to_str( self.unwrap() ).c_str()
17318  *
17319  * def index_set_hidden_doctests(): # <<<<<<<<<<<<<<
17320  * """
17321  * Tests for functions that Doctest cannot see.
17322  */
17323  __pyx_k_codeobj_26 = (PyObject*)__Pyx_PyCode_New(0, 0, 0, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_28, __pyx_n_s_27, 404, __pyx_empty_bytes); if (unlikely(!__pyx_k_codeobj_26)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 404; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17324 
17325  /* "PyClical.pyx":1243
17326  * return clifford_to_str( self.unwrap() ).c_str()
17327  *
17328  * def clifford_hidden_doctests(): # <<<<<<<<<<<<<<
17329  * """
17330  * Tests for functions that Doctest cannot see.
17331  */
17332  __pyx_k_codeobj_29 = (PyObject*)__Pyx_PyCode_New(0, 0, 0, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_28, __pyx_n_s_30, 1243, __pyx_empty_bytes); if (unlikely(!__pyx_k_codeobj_29)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1243; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17333 
17334  /* "PyClical.pyx":1887
17335  * """
17336  *
17337  * def e(obj): # <<<<<<<<<<<<<<
17338  * """
17339  * Abbreviation for clifford(index_set(obj)).
17340  */
17341  __pyx_k_tuple_31 = PyTuple_Pack(1, ((PyObject *)__pyx_n_s__obj)); if (unlikely(!__pyx_k_tuple_31)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1887; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17342  __Pyx_GOTREF(__pyx_k_tuple_31);
17343  __Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_31));
17344  __pyx_k_codeobj_32 = (PyObject*)__Pyx_PyCode_New(1, 0, 1, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_k_tuple_31, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_28, __pyx_n_s__e, 1887, __pyx_empty_bytes); if (unlikely(!__pyx_k_codeobj_32)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1887; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17345 
17346  /* "PyClical.pyx":1900
17347  * return clifford(index_set(obj))
17348  *
17349  * def istpq(p, q): # <<<<<<<<<<<<<<
17350  * """
17351  * Abbreviation for index_set({-q,...p}).
17352  */
17353  __pyx_k_tuple_33 = PyTuple_Pack(2, ((PyObject *)__pyx_n_s__p), ((PyObject *)__pyx_n_s__q)); if (unlikely(!__pyx_k_tuple_33)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1900; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17354  __Pyx_GOTREF(__pyx_k_tuple_33);
17355  __Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_33));
17356  __pyx_k_codeobj_34 = (PyObject*)__Pyx_PyCode_New(2, 0, 2, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_k_tuple_33, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_28, __pyx_n_s__istpq, 1900, __pyx_empty_bytes); if (unlikely(!__pyx_k_codeobj_34)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1900; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17357 
17358  /* "PyClical.pyx":1909
17359  * return index_set(set(range(-q,p+1)))
17360  *
17361  * ninf3 = e(4) + e(-1) # Null infinity point in 3D Conformal Geometric Algebra [DL]. # <<<<<<<<<<<<<<
17362  * nbar3 = e(4) - e(-1) # Null bar point in 3D Conformal Geometric Algebra [DL].
17363  *
17364  */
17365  __pyx_k_tuple_35 = PyTuple_Pack(1, __pyx_int_4); if (unlikely(!__pyx_k_tuple_35)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1909; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17366  __Pyx_GOTREF(__pyx_k_tuple_35);
17367  __Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_35));
17368  __pyx_k_tuple_36 = PyTuple_Pack(1, __pyx_int_neg_1); if (unlikely(!__pyx_k_tuple_36)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1909; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17369  __Pyx_GOTREF(__pyx_k_tuple_36);
17370  __Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_36));
17371 
17372  /* "PyClical.pyx":1910
17373  *
17374  * ninf3 = e(4) + e(-1) # Null infinity point in 3D Conformal Geometric Algebra [DL].
17375  * nbar3 = e(4) - e(-1) # Null bar point in 3D Conformal Geometric Algebra [DL]. # <<<<<<<<<<<<<<
17376  *
17377  * # Doctest interface.
17378  */
17379  __pyx_k_tuple_37 = PyTuple_Pack(1, __pyx_int_4); if (unlikely(!__pyx_k_tuple_37)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1910; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17380  __Pyx_GOTREF(__pyx_k_tuple_37);
17381  __Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_37));
17382  __pyx_k_tuple_38 = PyTuple_Pack(1, __pyx_int_neg_1); if (unlikely(!__pyx_k_tuple_38)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1910; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17383  __Pyx_GOTREF(__pyx_k_tuple_38);
17384  __Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_38));
17385 
17386  /* "PyClical.pyx":1913
17387  *
17388  * # Doctest interface.
17389  * def _test(): # <<<<<<<<<<<<<<
17390  * import PyClical, doctest
17391  * return doctest.testmod(PyClical)
17392  */
17393  __pyx_k_tuple_39 = PyTuple_Pack(2, ((PyObject *)__pyx_n_s__PyClical), ((PyObject *)__pyx_n_s__doctest)); if (unlikely(!__pyx_k_tuple_39)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1913; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17394  __Pyx_GOTREF(__pyx_k_tuple_39);
17395  __Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_39));
17396  __pyx_k_codeobj_40 = (PyObject*)__Pyx_PyCode_New(0, 0, 2, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_k_tuple_39, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_28, __pyx_n_s___test, 1913, __pyx_empty_bytes); if (unlikely(!__pyx_k_codeobj_40)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1913; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17397  __Pyx_RefNannyFinishContext();
17398  return 0;
17399  __pyx_L1_error:;
17400  __Pyx_RefNannyFinishContext();
17401  return -1;
17402 }
17403 
17404 static int __Pyx_InitGlobals(void) {
17405  if (__Pyx_InitStrings(__pyx_string_tab) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
17406  __pyx_int_0 = PyInt_FromLong(0); if (unlikely(!__pyx_int_0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
17407  __pyx_int_1 = PyInt_FromLong(1); if (unlikely(!__pyx_int_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
17408  __pyx_int_4 = PyInt_FromLong(4); if (unlikely(!__pyx_int_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
17409  __pyx_int_neg_1 = PyInt_FromLong(-1); if (unlikely(!__pyx_int_neg_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
17410  return 0;
17411  __pyx_L1_error:;
17412  return -1;
17413 }
17414 
17415 #if PY_MAJOR_VERSION < 3
17416 PyMODINIT_FUNC initPyClical(void); /*proto*/
17417 PyMODINIT_FUNC initPyClical(void)
17418 #else
17419 PyMODINIT_FUNC PyInit_PyClical(void); /*proto*/
17420 PyMODINIT_FUNC PyInit_PyClical(void)
17421 #endif
17422 {
17423  PyObject *__pyx_t_1 = NULL;
17424  PyObject *__pyx_t_2 = NULL;
17425  PyObject *__pyx_t_3 = NULL;
17426  int __pyx_t_4;
17427  int __pyx_lineno = 0;
17428  const char *__pyx_filename = NULL;
17429  int __pyx_clineno = 0;
17430  __Pyx_RefNannyDeclarations
17431  #if CYTHON_REFNANNY
17432  __Pyx_RefNanny = __Pyx_RefNannyImportAPI("refnanny");
17433  if (!__Pyx_RefNanny) {
17434  PyErr_Clear();
17435  __Pyx_RefNanny = __Pyx_RefNannyImportAPI("Cython.Runtime.refnanny");
17436  if (!__Pyx_RefNanny)
17437  Py_FatalError("failed to import 'refnanny' module");
17438  }
17439  #endif
17440  __Pyx_RefNannySetupContext("PyMODINIT_FUNC PyInit_PyClical(void)", 0);
17441  if ( __Pyx_check_binary_version() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17442  __pyx_empty_tuple = PyTuple_New(0); if (unlikely(!__pyx_empty_tuple)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17443  __pyx_empty_bytes = PyBytes_FromStringAndSize("", 0); if (unlikely(!__pyx_empty_bytes)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17444  #ifdef __Pyx_CyFunction_USED
17445  if (__Pyx_CyFunction_init() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17446  #endif
17447  #ifdef __Pyx_FusedFunction_USED
17448  if (__pyx_FusedFunction_init() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17449  #endif
17450  #ifdef __Pyx_Generator_USED
17451  if (__pyx_Generator_init() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17452  #endif
17453  /*--- Library function declarations ---*/
17454  /*--- Threads initialization code ---*/
17455  #if defined(__PYX_FORCE_INIT_THREADS) && __PYX_FORCE_INIT_THREADS
17456  #ifdef WITH_THREAD /* Python build with threading support? */
17457  PyEval_InitThreads();
17458  #endif
17459  #endif
17460  /*--- Module creation code ---*/
17461  #if PY_MAJOR_VERSION < 3
17462  __pyx_m = Py_InitModule4(__Pyx_NAMESTR("PyClical"), __pyx_methods, 0, 0, PYTHON_API_VERSION); Py_XINCREF(__pyx_m);
17463  #else
17464  __pyx_m = PyModule_Create(&__pyx_moduledef);
17465  #endif
17466  if (unlikely(!__pyx_m)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17467  __pyx_d = PyModule_GetDict(__pyx_m); if (unlikely(!__pyx_d)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17468  Py_INCREF(__pyx_d);
17469  #if PY_MAJOR_VERSION >= 3
17470  {
17471  PyObject *modules = PyImport_GetModuleDict(); if (unlikely(!modules)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17472  if (!PyDict_GetItemString(modules, "PyClical")) {
17473  if (unlikely(PyDict_SetItemString(modules, "PyClical", __pyx_m) < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17474  }
17475  }
17476  #endif
17477  __pyx_b = PyImport_AddModule(__Pyx_NAMESTR(__Pyx_BUILTIN_MODULE_NAME)); if (unlikely(!__pyx_b)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17478  #if CYTHON_COMPILING_IN_PYPY
17479  Py_INCREF(__pyx_b);
17480  #endif
17481  if (__Pyx_SetAttrString(__pyx_m, "__builtins__", __pyx_b) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
17482  /*--- Initialize various global constants etc. ---*/
17483  if (unlikely(__Pyx_InitGlobals() < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17484  #if PY_MAJOR_VERSION < 3 && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
17485  if (__Pyx_init_sys_getdefaultencoding_params() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17486  #endif
17487  if (__pyx_module_is_main_PyClical) {
17488  if (__Pyx_SetAttrString(__pyx_m, "__name__", __pyx_n_s____main__) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
17489  }
17490  /*--- Builtin init code ---*/
17491  if (unlikely(__Pyx_InitCachedBuiltins() < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17492  /*--- Constants init code ---*/
17493  if (unlikely(__Pyx_InitCachedConstants() < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17494  /*--- Global init code ---*/
17495  /*--- Variable export code ---*/
17496  /*--- Function export code ---*/
17497  /*--- Type init code ---*/
17498  __pyx_vtabptr_8PyClical_index_set = &__pyx_vtable_8PyClical_index_set;
17499  __pyx_vtable_8PyClical_index_set.wrap = (PyObject *(*)(struct __pyx_obj_8PyClical_index_set *, IndexSet))__pyx_f_8PyClical_9index_set_wrap;
17500  __pyx_vtable_8PyClical_index_set.unwrap = (IndexSet (*)(struct __pyx_obj_8PyClical_index_set *))__pyx_f_8PyClical_9index_set_unwrap;
17501  __pyx_vtable_8PyClical_index_set.copy = (PyObject *(*)(struct __pyx_obj_8PyClical_index_set *, int __pyx_skip_dispatch))__pyx_f_8PyClical_9index_set_copy;
17502  if (PyType_Ready(&__pyx_type_8PyClical_index_set) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17503  #if CYTHON_COMPILING_IN_CPYTHON
17504  {
17505  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__setitem__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17506  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17507  __pyx_wrapperbase_8PyClical_9index_set_8__setitem__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17508  __pyx_wrapperbase_8PyClical_9index_set_8__setitem__.doc = __pyx_doc_8PyClical_9index_set_8__setitem__;
17509  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_8__setitem__;
17510  }
17511  }
17512  #endif
17513  #if CYTHON_COMPILING_IN_CPYTHON
17514  {
17515  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__getitem__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17516  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17517  __pyx_wrapperbase_8PyClical_9index_set_10__getitem__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17518  __pyx_wrapperbase_8PyClical_9index_set_10__getitem__.doc = __pyx_doc_8PyClical_9index_set_10__getitem__;
17519  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_10__getitem__;
17520  }
17521  }
17522  #endif
17523  #if CYTHON_COMPILING_IN_CPYTHON
17524  {
17525  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__contains__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17526  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17527  __pyx_wrapperbase_8PyClical_9index_set_12__contains__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17528  __pyx_wrapperbase_8PyClical_9index_set_12__contains__.doc = __pyx_doc_8PyClical_9index_set_12__contains__;
17529  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_12__contains__;
17530  }
17531  }
17532  #endif
17533  #if CYTHON_COMPILING_IN_CPYTHON
17534  {
17535  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__iter__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17536  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17537  __pyx_wrapperbase_8PyClical_9index_set_14__iter__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17538  __pyx_wrapperbase_8PyClical_9index_set_14__iter__.doc = __pyx_doc_8PyClical_9index_set_14__iter__;
17539  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_14__iter__;
17540  }
17541  }
17542  #endif
17543  #if CYTHON_COMPILING_IN_CPYTHON
17544  {
17545  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__invert__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17546  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17547  __pyx_wrapperbase_8PyClical_9index_set_17__invert__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17548  __pyx_wrapperbase_8PyClical_9index_set_17__invert__.doc = __pyx_doc_8PyClical_9index_set_17__invert__;
17549  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_17__invert__;
17550  }
17551  }
17552  #endif
17553  #if CYTHON_COMPILING_IN_CPYTHON
17554  {
17555  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__xor__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17556  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17557  __pyx_wrapperbase_8PyClical_9index_set_19__xor__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17558  __pyx_wrapperbase_8PyClical_9index_set_19__xor__.doc = __pyx_doc_8PyClical_9index_set_19__xor__;
17559  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_19__xor__;
17560  }
17561  }
17562  #endif
17563  #if CYTHON_COMPILING_IN_CPYTHON
17564  {
17565  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__ixor__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17566  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17567  __pyx_wrapperbase_8PyClical_9index_set_21__ixor__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17568  __pyx_wrapperbase_8PyClical_9index_set_21__ixor__.doc = __pyx_doc_8PyClical_9index_set_21__ixor__;
17569  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_21__ixor__;
17570  }
17571  }
17572  #endif
17573  #if CYTHON_COMPILING_IN_CPYTHON
17574  {
17575  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__and__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17576  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17577  __pyx_wrapperbase_8PyClical_9index_set_23__and__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17578  __pyx_wrapperbase_8PyClical_9index_set_23__and__.doc = __pyx_doc_8PyClical_9index_set_23__and__;
17579  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_23__and__;
17580  }
17581  }
17582  #endif
17583  #if CYTHON_COMPILING_IN_CPYTHON
17584  {
17585  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__iand__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17586  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17587  __pyx_wrapperbase_8PyClical_9index_set_25__iand__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17588  __pyx_wrapperbase_8PyClical_9index_set_25__iand__.doc = __pyx_doc_8PyClical_9index_set_25__iand__;
17589  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_25__iand__;
17590  }
17591  }
17592  #endif
17593  #if CYTHON_COMPILING_IN_CPYTHON
17594  {
17595  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__or__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17596  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17597  __pyx_wrapperbase_8PyClical_9index_set_27__or__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17598  __pyx_wrapperbase_8PyClical_9index_set_27__or__.doc = __pyx_doc_8PyClical_9index_set_27__or__;
17599  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_27__or__;
17600  }
17601  }
17602  #endif
17603  #if CYTHON_COMPILING_IN_CPYTHON
17604  {
17605  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__ior__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17606  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17607  __pyx_wrapperbase_8PyClical_9index_set_29__ior__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17608  __pyx_wrapperbase_8PyClical_9index_set_29__ior__.doc = __pyx_doc_8PyClical_9index_set_29__ior__;
17609  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_29__ior__;
17610  }
17611  }
17612  #endif
17613  #if CYTHON_COMPILING_IN_CPYTHON
17614  {
17615  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__repr__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17616  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17617  __pyx_wrapperbase_8PyClical_9index_set_47__repr__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17618  __pyx_wrapperbase_8PyClical_9index_set_47__repr__.doc = __pyx_doc_8PyClical_9index_set_47__repr__;
17619  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_47__repr__;
17620  }
17621  }
17622  #endif
17623  #if CYTHON_COMPILING_IN_CPYTHON
17624  {
17625  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_index_set, "__str__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17626  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17627  __pyx_wrapperbase_8PyClical_9index_set_49__str__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17628  __pyx_wrapperbase_8PyClical_9index_set_49__str__.doc = __pyx_doc_8PyClical_9index_set_49__str__;
17629  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_9index_set_49__str__;
17630  }
17631  }
17632  #endif
17633  if (__Pyx_SetVtable(__pyx_type_8PyClical_index_set.tp_dict, __pyx_vtabptr_8PyClical_index_set) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17634  if (__Pyx_SetAttrString(__pyx_m, "index_set", (PyObject *)&__pyx_type_8PyClical_index_set) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17635  __pyx_ptype_8PyClical_index_set = &__pyx_type_8PyClical_index_set;
17636  if (PyType_Ready(&__pyx_type_8PyClical___pyx_scope_struct____iter__) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 227; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17637  __pyx_ptype_8PyClical___pyx_scope_struct____iter__ = &__pyx_type_8PyClical___pyx_scope_struct____iter__;
17638  __pyx_vtabptr_8PyClical_clifford = &__pyx_vtable_8PyClical_clifford;
17639  __pyx_vtable_8PyClical_clifford.wrap = (PyObject *(*)(struct __pyx_obj_8PyClical_clifford *, Clifford))__pyx_f_8PyClical_8clifford_wrap;
17640  __pyx_vtable_8PyClical_clifford.unwrap = (Clifford (*)(struct __pyx_obj_8PyClical_clifford *))__pyx_f_8PyClical_8clifford_unwrap;
17641  __pyx_vtable_8PyClical_clifford.copy = (PyObject *(*)(struct __pyx_obj_8PyClical_clifford *, int __pyx_skip_dispatch))__pyx_f_8PyClical_8clifford_copy;
17642  if (PyType_Ready(&__pyx_type_8PyClical_clifford) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17643  #if CYTHON_COMPILING_IN_CPYTHON
17644  {
17645  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__contains__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17646  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17647  __pyx_wrapperbase_8PyClical_8clifford_6__contains__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17648  __pyx_wrapperbase_8PyClical_8clifford_6__contains__.doc = __pyx_doc_8PyClical_8clifford_6__contains__;
17649  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_6__contains__;
17650  }
17651  }
17652  #endif
17653  #if CYTHON_COMPILING_IN_CPYTHON
17654  {
17655  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__iter__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17656  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17657  __pyx_wrapperbase_8PyClical_8clifford_8__iter__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17658  __pyx_wrapperbase_8PyClical_8clifford_8__iter__.doc = __pyx_doc_8PyClical_8clifford_8__iter__;
17659  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_8__iter__;
17660  }
17661  }
17662  #endif
17663  #if CYTHON_COMPILING_IN_CPYTHON
17664  {
17665  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__getitem__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17666  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17667  __pyx_wrapperbase_8PyClical_8clifford_14__getitem__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17668  __pyx_wrapperbase_8PyClical_8clifford_14__getitem__.doc = __pyx_doc_8PyClical_8clifford_14__getitem__;
17669  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_14__getitem__;
17670  }
17671  }
17672  #endif
17673  #if CYTHON_COMPILING_IN_CPYTHON
17674  {
17675  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__neg__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17676  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17677  __pyx_wrapperbase_8PyClical_8clifford_16__neg__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17678  __pyx_wrapperbase_8PyClical_8clifford_16__neg__.doc = __pyx_doc_8PyClical_8clifford_16__neg__;
17679  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_16__neg__;
17680  }
17681  }
17682  #endif
17683  #if CYTHON_COMPILING_IN_CPYTHON
17684  {
17685  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__pos__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17686  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17687  __pyx_wrapperbase_8PyClical_8clifford_18__pos__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17688  __pyx_wrapperbase_8PyClical_8clifford_18__pos__.doc = __pyx_doc_8PyClical_8clifford_18__pos__;
17689  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_18__pos__;
17690  }
17691  }
17692  #endif
17693  #if CYTHON_COMPILING_IN_CPYTHON
17694  {
17695  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__add__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17696  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17697  __pyx_wrapperbase_8PyClical_8clifford_20__add__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17698  __pyx_wrapperbase_8PyClical_8clifford_20__add__.doc = __pyx_doc_8PyClical_8clifford_20__add__;
17699  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_20__add__;
17700  }
17701  }
17702  #endif
17703  #if CYTHON_COMPILING_IN_CPYTHON
17704  {
17705  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__iadd__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17706  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17707  __pyx_wrapperbase_8PyClical_8clifford_22__iadd__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17708  __pyx_wrapperbase_8PyClical_8clifford_22__iadd__.doc = __pyx_doc_8PyClical_8clifford_22__iadd__;
17709  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_22__iadd__;
17710  }
17711  }
17712  #endif
17713  #if CYTHON_COMPILING_IN_CPYTHON
17714  {
17715  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__sub__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17716  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17717  __pyx_wrapperbase_8PyClical_8clifford_24__sub__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17718  __pyx_wrapperbase_8PyClical_8clifford_24__sub__.doc = __pyx_doc_8PyClical_8clifford_24__sub__;
17719  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_24__sub__;
17720  }
17721  }
17722  #endif
17723  #if CYTHON_COMPILING_IN_CPYTHON
17724  {
17725  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__isub__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17726  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17727  __pyx_wrapperbase_8PyClical_8clifford_26__isub__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17728  __pyx_wrapperbase_8PyClical_8clifford_26__isub__.doc = __pyx_doc_8PyClical_8clifford_26__isub__;
17729  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_26__isub__;
17730  }
17731  }
17732  #endif
17733  #if CYTHON_COMPILING_IN_CPYTHON
17734  {
17735  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__mul__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17736  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17737  __pyx_wrapperbase_8PyClical_8clifford_28__mul__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17738  __pyx_wrapperbase_8PyClical_8clifford_28__mul__.doc = __pyx_doc_8PyClical_8clifford_28__mul__;
17739  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_28__mul__;
17740  }
17741  }
17742  #endif
17743  #if CYTHON_COMPILING_IN_CPYTHON
17744  {
17745  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__imul__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17746  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17747  __pyx_wrapperbase_8PyClical_8clifford_30__imul__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17748  __pyx_wrapperbase_8PyClical_8clifford_30__imul__.doc = __pyx_doc_8PyClical_8clifford_30__imul__;
17749  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_30__imul__;
17750  }
17751  }
17752  #endif
17753  #if CYTHON_COMPILING_IN_CPYTHON
17754  {
17755  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__mod__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17756  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17757  __pyx_wrapperbase_8PyClical_8clifford_32__mod__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17758  __pyx_wrapperbase_8PyClical_8clifford_32__mod__.doc = __pyx_doc_8PyClical_8clifford_32__mod__;
17759  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_32__mod__;
17760  }
17761  }
17762  #endif
17763  #if CYTHON_COMPILING_IN_CPYTHON
17764  {
17765  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__imod__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17766  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17767  __pyx_wrapperbase_8PyClical_8clifford_34__imod__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17768  __pyx_wrapperbase_8PyClical_8clifford_34__imod__.doc = __pyx_doc_8PyClical_8clifford_34__imod__;
17769  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_34__imod__;
17770  }
17771  }
17772  #endif
17773  #if CYTHON_COMPILING_IN_CPYTHON
17774  {
17775  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__and__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17776  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17777  __pyx_wrapperbase_8PyClical_8clifford_36__and__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17778  __pyx_wrapperbase_8PyClical_8clifford_36__and__.doc = __pyx_doc_8PyClical_8clifford_36__and__;
17779  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_36__and__;
17780  }
17781  }
17782  #endif
17783  #if CYTHON_COMPILING_IN_CPYTHON
17784  {
17785  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__iand__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17786  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17787  __pyx_wrapperbase_8PyClical_8clifford_38__iand__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17788  __pyx_wrapperbase_8PyClical_8clifford_38__iand__.doc = __pyx_doc_8PyClical_8clifford_38__iand__;
17789  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_38__iand__;
17790  }
17791  }
17792  #endif
17793  #if CYTHON_COMPILING_IN_CPYTHON
17794  {
17795  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__xor__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17796  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17797  __pyx_wrapperbase_8PyClical_8clifford_40__xor__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17798  __pyx_wrapperbase_8PyClical_8clifford_40__xor__.doc = __pyx_doc_8PyClical_8clifford_40__xor__;
17799  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_40__xor__;
17800  }
17801  }
17802  #endif
17803  #if CYTHON_COMPILING_IN_CPYTHON
17804  {
17805  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__ixor__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17806  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17807  __pyx_wrapperbase_8PyClical_8clifford_42__ixor__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17808  __pyx_wrapperbase_8PyClical_8clifford_42__ixor__.doc = __pyx_doc_8PyClical_8clifford_42__ixor__;
17809  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_42__ixor__;
17810  }
17811  }
17812  #endif
17813  #if CYTHON_COMPILING_IN_CPYTHON
17814  {
17815  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__div__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17816  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17817  __pyx_wrapperbase_8PyClical_8clifford_44__div__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17818  __pyx_wrapperbase_8PyClical_8clifford_44__div__.doc = __pyx_doc_8PyClical_8clifford_44__div__;
17819  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_44__div__;
17820  }
17821  }
17822  #endif
17823  #if CYTHON_COMPILING_IN_CPYTHON
17824  {
17825  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__idiv__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17826  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17827  __pyx_wrapperbase_8PyClical_8clifford_46__idiv__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17828  __pyx_wrapperbase_8PyClical_8clifford_46__idiv__.doc = __pyx_doc_8PyClical_8clifford_46__idiv__;
17829  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_46__idiv__;
17830  }
17831  }
17832  #endif
17833  #if CYTHON_COMPILING_IN_CPYTHON
17834  {
17835  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__or__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17836  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17837  __pyx_wrapperbase_8PyClical_8clifford_50__or__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17838  __pyx_wrapperbase_8PyClical_8clifford_50__or__.doc = __pyx_doc_8PyClical_8clifford_50__or__;
17839  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_50__or__;
17840  }
17841  }
17842  #endif
17843  #if CYTHON_COMPILING_IN_CPYTHON
17844  {
17845  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__ior__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17846  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17847  __pyx_wrapperbase_8PyClical_8clifford_52__ior__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17848  __pyx_wrapperbase_8PyClical_8clifford_52__ior__.doc = __pyx_doc_8PyClical_8clifford_52__ior__;
17849  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_52__ior__;
17850  }
17851  }
17852  #endif
17853  #if CYTHON_COMPILING_IN_CPYTHON
17854  {
17855  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__pow__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17856  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17857  __pyx_wrapperbase_8PyClical_8clifford_54__pow__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17858  __pyx_wrapperbase_8PyClical_8clifford_54__pow__.doc = __pyx_doc_8PyClical_8clifford_54__pow__;
17859  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_54__pow__;
17860  }
17861  }
17862  #endif
17863  #if CYTHON_COMPILING_IN_CPYTHON
17864  {
17865  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__call__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17866  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17867  __pyx_wrapperbase_8PyClical_8clifford_60__call__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17868  __pyx_wrapperbase_8PyClical_8clifford_60__call__.doc = __pyx_doc_8PyClical_8clifford_60__call__;
17869  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_60__call__;
17870  }
17871  }
17872  #endif
17873  #if CYTHON_COMPILING_IN_CPYTHON
17874  {
17875  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__repr__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17876  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17877  __pyx_wrapperbase_8PyClical_8clifford_92__repr__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17878  __pyx_wrapperbase_8PyClical_8clifford_92__repr__.doc = __pyx_doc_8PyClical_8clifford_92__repr__;
17879  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_92__repr__;
17880  }
17881  }
17882  #endif
17883  #if CYTHON_COMPILING_IN_CPYTHON
17884  {
17885  PyObject *wrapper = __Pyx_GetAttrString((PyObject *)&__pyx_type_8PyClical_clifford, "__str__"); if (unlikely(!wrapper)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17886  if (Py_TYPE(wrapper) == &PyWrapperDescr_Type) {
17887  __pyx_wrapperbase_8PyClical_8clifford_94__str__ = *((PyWrapperDescrObject *)wrapper)->d_base;
17888  __pyx_wrapperbase_8PyClical_8clifford_94__str__.doc = __pyx_doc_8PyClical_8clifford_94__str__;
17889  ((PyWrapperDescrObject *)wrapper)->d_base = &__pyx_wrapperbase_8PyClical_8clifford_94__str__;
17890  }
17891  }
17892  #endif
17893  if (__Pyx_SetVtable(__pyx_type_8PyClical_clifford.tp_dict, __pyx_vtabptr_8PyClical_clifford) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17894  if (__Pyx_SetAttrString(__pyx_m, "clifford", (PyObject *)&__pyx_type_8PyClical_clifford) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17895  __pyx_ptype_8PyClical_clifford = &__pyx_type_8PyClical_clifford;
17896  /*--- Type import code ---*/
17897  /*--- Variable import code ---*/
17898  /*--- Function import code ---*/
17899  /*--- Execution code ---*/
17900 
17901  /* "PyClical.pyx":28
17902  * # C. Doran and A. Lasenby, "Geometric algebra for physicists", Cambridge, 2003.
17903  *
17904  * import math # <<<<<<<<<<<<<<
17905  * import numbers
17906  * import collections
17907  */
17908  __pyx_t_1 = __Pyx_Import(((PyObject *)__pyx_n_s__math), 0, -1); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 28; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17909  __Pyx_GOTREF(__pyx_t_1);
17910  if (PyDict_SetItem(__pyx_d, __pyx_n_s__math, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 28; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17911  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
17912 
17913  /* "PyClical.pyx":29
17914  *
17915  * import math
17916  * import numbers # <<<<<<<<<<<<<<
17917  * import collections
17918  *
17919  */
17920  __pyx_t_1 = __Pyx_Import(((PyObject *)__pyx_n_s__numbers), 0, -1); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 29; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17921  __Pyx_GOTREF(__pyx_t_1);
17922  if (PyDict_SetItem(__pyx_d, __pyx_n_s__numbers, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 29; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17923  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
17924 
17925  /* "PyClical.pyx":30
17926  * import math
17927  * import numbers
17928  * import collections # <<<<<<<<<<<<<<
17929  *
17930  * __version__ = "0.8.2"
17931  */
17932  __pyx_t_1 = __Pyx_Import(((PyObject *)__pyx_n_s__collections), 0, -1); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 30; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17933  __Pyx_GOTREF(__pyx_t_1);
17934  if (PyDict_SetItem(__pyx_d, __pyx_n_s__collections, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 30; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17935  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
17936 
17937  /* "PyClical.pyx":32
17938  * import collections
17939  *
17940  * __version__ = "0.8.2" # <<<<<<<<<<<<<<
17941  *
17942  * from PyClical cimport *
17943  */
17944  if (PyDict_SetItem(__pyx_d, __pyx_n_s____version__, ((PyObject *)__pyx_kp_s_25)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 32; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17945 
17946  /* "PyClical.pyx":404
17947  * return index_set_to_str( self.unwrap() ).c_str()
17948  *
17949  * def index_set_hidden_doctests(): # <<<<<<<<<<<<<<
17950  * """
17951  * Tests for functions that Doctest cannot see.
17952  */
17953  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_8PyClical_1index_set_hidden_doctests, NULL, __pyx_n_s__PyClical); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 404; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17954  __Pyx_GOTREF(__pyx_t_1);
17955  if (PyDict_SetItem(__pyx_d, __pyx_n_s_27, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 404; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17956  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
17957 
17958  /* "PyClical.pyx":1243
17959  * return clifford_to_str( self.unwrap() ).c_str()
17960  *
17961  * def clifford_hidden_doctests(): # <<<<<<<<<<<<<<
17962  * """
17963  * Tests for functions that Doctest cannot see.
17964  */
17965  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_8PyClical_9clifford_hidden_doctests, NULL, __pyx_n_s__PyClical); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1243; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17966  __Pyx_GOTREF(__pyx_t_1);
17967  if (PyDict_SetItem(__pyx_d, __pyx_n_s_30, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1243; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17968  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
17969 
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17971  * return clifford().wrap( glucat.atanh(toClifford(obj)) )
17972  *
17973  * cpdef inline random_clifford(index_set ixt, fill = 1.0): # <<<<<<<<<<<<<<
17974  * """
17975  * Random multivector within a frame.
17976  */
17977  __pyx_t_1 = PyFloat_FromDouble(1.0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1815; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17978  __Pyx_GOTREF(__pyx_t_1);
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17980  __Pyx_GIVEREF(__pyx_t_1);
17981  __pyx_t_1 = 0;
17982 
17983  /* "PyClical.pyx":1856
17984  *
17985  * # Some abbreviations.
17986  * tau = atan(clifford(1.0)) * 8.0 # <<<<<<<<<<<<<<
17987  * pi = tau / 2.0
17988  *
17989  */
17990  __pyx_t_1 = PyFloat_FromDouble(1.0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1856; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17991  __Pyx_GOTREF(__pyx_t_1);
17992  __pyx_t_2 = PyTuple_New(1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1856; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17993  __Pyx_GOTREF(__pyx_t_2);
17994  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_1);
17995  __Pyx_GIVEREF(__pyx_t_1);
17996  __pyx_t_1 = 0;
17997  __pyx_t_1 = PyObject_Call(((PyObject *)((PyObject*)__pyx_ptype_8PyClical_clifford)), ((PyObject *)__pyx_t_2), NULL); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1856; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
17998  __Pyx_GOTREF(__pyx_t_1);
17999  __Pyx_DECREF(((PyObject *)__pyx_t_2)); __pyx_t_2 = 0;
18000  __pyx_t_2 = __pyx_f_8PyClical_atan(__pyx_t_1, 0, NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1856; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18001  __Pyx_GOTREF(__pyx_t_2);
18002  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
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18004  __Pyx_GOTREF(__pyx_t_1);
18005  __pyx_t_3 = PyNumber_Multiply(__pyx_t_2, __pyx_t_1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1856; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18006  __Pyx_GOTREF(__pyx_t_3);
18007  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
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18010  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
18011 
18012  /* "PyClical.pyx":1857
18013  * # Some abbreviations.
18014  * tau = atan(clifford(1.0)) * 8.0
18015  * pi = tau / 2.0 # <<<<<<<<<<<<<<
18016  *
18017  * cl = clifford
18018  */
18019  __pyx_t_3 = __Pyx_GetModuleGlobalName(__pyx_n_s__tau); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1857; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18020  __Pyx_GOTREF(__pyx_t_3);
18021  __pyx_t_1 = PyFloat_FromDouble(2.0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1857; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18022  __Pyx_GOTREF(__pyx_t_1);
18023  __pyx_t_2 = __Pyx_PyNumber_Divide(__pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1857; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18024  __Pyx_GOTREF(__pyx_t_2);
18025  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
18026  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
18027  if (PyDict_SetItem(__pyx_d, __pyx_n_s__pi, __pyx_t_2) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1857; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18028  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18029 
18030  /* "PyClical.pyx":1859
18031  * pi = tau / 2.0
18032  *
18033  * cl = clifford # <<<<<<<<<<<<<<
18034  * """
18035  * Abbreviation for clifford.
18036  */
18037  if (PyDict_SetItem(__pyx_d, __pyx_n_s__cl, ((PyObject *)((PyObject*)__pyx_ptype_8PyClical_clifford))) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1859; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18038 
18039  /* "PyClical.pyx":1879
18040  * """
18041  *
18042  * ist = index_set # <<<<<<<<<<<<<<
18043  * """
18044  * Abbreviation for index_set.
18045  */
18046  if (PyDict_SetItem(__pyx_d, __pyx_n_s__ist, ((PyObject *)((PyObject*)__pyx_ptype_8PyClical_index_set))) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1879; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18047 
18048  /* "PyClical.pyx":1887
18049  * """
18050  *
18051  * def e(obj): # <<<<<<<<<<<<<<
18052  * """
18053  * Abbreviation for clifford(index_set(obj)).
18054  */
18055  __pyx_t_2 = PyCFunction_NewEx(&__pyx_mdef_8PyClical_83e, NULL, __pyx_n_s__PyClical); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1887; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18056  __Pyx_GOTREF(__pyx_t_2);
18057  if (PyDict_SetItem(__pyx_d, __pyx_n_s__e, __pyx_t_2) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1887; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18058  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18059 
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18061  * return clifford(index_set(obj))
18062  *
18063  * def istpq(p, q): # <<<<<<<<<<<<<<
18064  * """
18065  * Abbreviation for index_set({-q,...p}).
18066  */
18067  __pyx_t_2 = PyCFunction_NewEx(&__pyx_mdef_8PyClical_85istpq, NULL, __pyx_n_s__PyClical); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1900; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18068  __Pyx_GOTREF(__pyx_t_2);
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18070  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18071 
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18073  * return index_set(set(range(-q,p+1)))
18074  *
18075  * ninf3 = e(4) + e(-1) # Null infinity point in 3D Conformal Geometric Algebra [DL]. # <<<<<<<<<<<<<<
18076  * nbar3 = e(4) - e(-1) # Null bar point in 3D Conformal Geometric Algebra [DL].
18077  *
18078  */
18079  __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s__e); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1909; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18080  __Pyx_GOTREF(__pyx_t_2);
18081  __pyx_t_1 = PyObject_Call(__pyx_t_2, ((PyObject *)__pyx_k_tuple_35), NULL); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1909; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18082  __Pyx_GOTREF(__pyx_t_1);
18083  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18084  __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s__e); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1909; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18085  __Pyx_GOTREF(__pyx_t_2);
18086  __pyx_t_3 = PyObject_Call(__pyx_t_2, ((PyObject *)__pyx_k_tuple_36), NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1909; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18087  __Pyx_GOTREF(__pyx_t_3);
18088  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18089  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1909; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18090  __Pyx_GOTREF(__pyx_t_2);
18091  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
18092  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
18093  if (PyDict_SetItem(__pyx_d, __pyx_n_s__ninf3, __pyx_t_2) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1909; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18094  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18095 
18096  /* "PyClical.pyx":1910
18097  *
18098  * ninf3 = e(4) + e(-1) # Null infinity point in 3D Conformal Geometric Algebra [DL].
18099  * nbar3 = e(4) - e(-1) # Null bar point in 3D Conformal Geometric Algebra [DL]. # <<<<<<<<<<<<<<
18100  *
18101  * # Doctest interface.
18102  */
18103  __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s__e); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1910; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18104  __Pyx_GOTREF(__pyx_t_2);
18105  __pyx_t_3 = PyObject_Call(__pyx_t_2, ((PyObject *)__pyx_k_tuple_37), NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1910; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18106  __Pyx_GOTREF(__pyx_t_3);
18107  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18108  __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s__e); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1910; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18109  __Pyx_GOTREF(__pyx_t_2);
18110  __pyx_t_1 = PyObject_Call(__pyx_t_2, ((PyObject *)__pyx_k_tuple_38), NULL); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1910; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18111  __Pyx_GOTREF(__pyx_t_1);
18112  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18113  __pyx_t_2 = PyNumber_Subtract(__pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1910; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18114  __Pyx_GOTREF(__pyx_t_2);
18115  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
18116  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
18117  if (PyDict_SetItem(__pyx_d, __pyx_n_s__nbar3, __pyx_t_2) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1910; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18118  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18119 
18120  /* "PyClical.pyx":1913
18121  *
18122  * # Doctest interface.
18123  * def _test(): # <<<<<<<<<<<<<<
18124  * import PyClical, doctest
18125  * return doctest.testmod(PyClical)
18126  */
18127  __pyx_t_2 = PyCFunction_NewEx(&__pyx_mdef_8PyClical_87_test, NULL, __pyx_n_s__PyClical); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1913; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18128  __Pyx_GOTREF(__pyx_t_2);
18129  if (PyDict_SetItem(__pyx_d, __pyx_n_s___test, __pyx_t_2) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1913; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18130  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18131 
18132  /* "PyClical.pyx":1917
18133  * return doctest.testmod(PyClical)
18134  *
18135  * if __name__ == "__main__": # <<<<<<<<<<<<<<
18136  * _test()
18137  */
18138  __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s____name__); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1917; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18139  __Pyx_GOTREF(__pyx_t_2);
18140  __pyx_t_1 = PyObject_RichCompare(__pyx_t_2, ((PyObject *)__pyx_n_s____main__), Py_EQ); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1917; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18141  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18142  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely(__pyx_t_4 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1917; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18143  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
18144  if (__pyx_t_4) {
18145 
18146  /* "PyClical.pyx":1918
18147  *
18148  * if __name__ == "__main__":
18149  * _test() # <<<<<<<<<<<<<<
18150  */
18151  __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s___test); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1918; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18152  __Pyx_GOTREF(__pyx_t_1);
18153  __pyx_t_2 = PyObject_Call(__pyx_t_1, ((PyObject *)__pyx_empty_tuple), NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1918; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18154  __Pyx_GOTREF(__pyx_t_2);
18155  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
18156  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
18157  goto __pyx_L2;
18158  }
18159  __pyx_L2:;
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18162  * # -*- coding: utf-8 -*- # <<<<<<<<<<<<<<
18163  * # distutils: language = c++
18164  * #
18165  */
18166  __pyx_t_2 = PyDict_New(); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18167  __Pyx_GOTREF(((PyObject *)__pyx_t_2));
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18169  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_43), ((PyObject *)__pyx_kp_u_44)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18170  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_45), ((PyObject *)__pyx_kp_u_46)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18171  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_47), ((PyObject *)__pyx_kp_u_48)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18172  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_49), ((PyObject *)__pyx_kp_u_50)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18173  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_51), ((PyObject *)__pyx_kp_u_52)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18174  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_53), ((PyObject *)__pyx_kp_u_54)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18175  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_55), ((PyObject *)__pyx_kp_u_56)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18176  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_57), ((PyObject *)__pyx_kp_u_58)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18177  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_59), ((PyObject *)__pyx_kp_u_60)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18178  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_61), ((PyObject *)__pyx_kp_u_62)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18179  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_63), ((PyObject *)__pyx_kp_u_64)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18180  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_65), ((PyObject *)__pyx_kp_u_66)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18181  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_67), ((PyObject *)__pyx_kp_u_68)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18182  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_69), ((PyObject *)__pyx_kp_u_70)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18183  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_71), ((PyObject *)__pyx_kp_u_72)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18184  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_73), ((PyObject *)__pyx_kp_u_74)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18185  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_75), ((PyObject *)__pyx_kp_u_76)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18186  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_77), ((PyObject *)__pyx_kp_u_78)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18187  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_79), ((PyObject *)__pyx_kp_u_80)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18188  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_81), ((PyObject *)__pyx_kp_u_82)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18189  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_83), ((PyObject *)__pyx_kp_u_84)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18190  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_85), ((PyObject *)__pyx_kp_u_86)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18191  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_87), ((PyObject *)__pyx_kp_u_88)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18192  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_89), ((PyObject *)__pyx_kp_u_90)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18193  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_91), ((PyObject *)__pyx_kp_u_92)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18194  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_93), ((PyObject *)__pyx_kp_u_94)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18195  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_95), ((PyObject *)__pyx_kp_u_96)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18196  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_97), ((PyObject *)__pyx_kp_u_98)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18197  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_99), ((PyObject *)__pyx_kp_u_100)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18198  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_101), ((PyObject *)__pyx_kp_u_102)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18199  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_103), ((PyObject *)__pyx_kp_u_104)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18200  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_105), ((PyObject *)__pyx_kp_u_106)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18201  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_107), ((PyObject *)__pyx_kp_u_108)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18202  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_109), ((PyObject *)__pyx_kp_u_110)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18203  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_111), ((PyObject *)__pyx_kp_u_112)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18204  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_113), ((PyObject *)__pyx_kp_u_114)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18205  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_115), ((PyObject *)__pyx_kp_u_116)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18206  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_117), ((PyObject *)__pyx_kp_u_118)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18207  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_119), ((PyObject *)__pyx_kp_u_120)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18208  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_121), ((PyObject *)__pyx_kp_u_122)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18209  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_123), ((PyObject *)__pyx_kp_u_124)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18210  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_125), ((PyObject *)__pyx_kp_u_126)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18211  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_127), ((PyObject *)__pyx_kp_u_128)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18212  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_129), ((PyObject *)__pyx_kp_u_130)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18213  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_131), ((PyObject *)__pyx_kp_u_132)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18214  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_133), ((PyObject *)__pyx_kp_u_134)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18215  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_135), ((PyObject *)__pyx_kp_u_136)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18216  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_137), ((PyObject *)__pyx_kp_u_138)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18217  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_139), ((PyObject *)__pyx_kp_u_140)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18218  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_141), ((PyObject *)__pyx_kp_u_142)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18219  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_143), ((PyObject *)__pyx_kp_u_144)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18220  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_145), ((PyObject *)__pyx_kp_u_146)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18221  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_147), ((PyObject *)__pyx_kp_u_148)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18222  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_149), ((PyObject *)__pyx_kp_u_150)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18223  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_151), ((PyObject *)__pyx_kp_u_152)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18224  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_153), ((PyObject *)__pyx_kp_u_154)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18225  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_155), ((PyObject *)__pyx_kp_u_156)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18226  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_157), ((PyObject *)__pyx_kp_u_158)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18227  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_159), ((PyObject *)__pyx_kp_u_160)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18228  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_161), ((PyObject *)__pyx_kp_u_162)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18229  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_163), ((PyObject *)__pyx_kp_u_164)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18230  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_165), ((PyObject *)__pyx_kp_u_166)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18231  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_167), ((PyObject *)__pyx_kp_u_168)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18232  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_169), ((PyObject *)__pyx_kp_u_170)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18233  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_171), ((PyObject *)__pyx_kp_u_172)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18234  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_173), ((PyObject *)__pyx_kp_u_174)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18235  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_175), ((PyObject *)__pyx_kp_u_176)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18236  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_177), ((PyObject *)__pyx_kp_u_178)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18237  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_179), ((PyObject *)__pyx_kp_u_180)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18238  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_181), ((PyObject *)__pyx_kp_u_182)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18239  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_183), ((PyObject *)__pyx_kp_u_184)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18240  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_185), ((PyObject *)__pyx_kp_u_186)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18241  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_187), ((PyObject *)__pyx_kp_u_188)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18242  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_189), ((PyObject *)__pyx_kp_u_190)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18243  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_191), ((PyObject *)__pyx_kp_u_192)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18244  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_193), ((PyObject *)__pyx_kp_u_194)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18245  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_195), ((PyObject *)__pyx_kp_u_196)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18246  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_197), ((PyObject *)__pyx_kp_u_198)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18247  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_199), ((PyObject *)__pyx_kp_u_200)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18248  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_201), ((PyObject *)__pyx_kp_u_202)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18249  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_203), ((PyObject *)__pyx_kp_u_204)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18250  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_205), ((PyObject *)__pyx_kp_u_206)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18251  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_207), ((PyObject *)__pyx_kp_u_208)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18252  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_209), ((PyObject *)__pyx_kp_u_210)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18253  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_211), ((PyObject *)__pyx_kp_u_212)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18254  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_213), ((PyObject *)__pyx_kp_u_214)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18255  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_215), ((PyObject *)__pyx_kp_u_216)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18256  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_217), ((PyObject *)__pyx_kp_u_218)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18257  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_219), ((PyObject *)__pyx_kp_u_220)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18258  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_221), ((PyObject *)__pyx_kp_u_222)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18259  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_223), ((PyObject *)__pyx_kp_u_224)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18260  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_225), ((PyObject *)__pyx_kp_u_226)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18261  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_227), ((PyObject *)__pyx_kp_u_228)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18262  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_229), ((PyObject *)__pyx_kp_u_230)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18263  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_231), ((PyObject *)__pyx_kp_u_232)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18264  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_233), ((PyObject *)__pyx_kp_u_234)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18265  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_235), ((PyObject *)__pyx_kp_u_236)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18266  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_237), ((PyObject *)__pyx_kp_u_238)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18267  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_239), ((PyObject *)__pyx_kp_u_240)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18268  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_241), ((PyObject *)__pyx_kp_u_242)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18269  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_243), ((PyObject *)__pyx_kp_u_244)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18270  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_245), ((PyObject *)__pyx_kp_u_246)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18271  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_247), ((PyObject *)__pyx_kp_u_248)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18272  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_249), ((PyObject *)__pyx_kp_u_250)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18273  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_251), ((PyObject *)__pyx_kp_u_252)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18274  if (PyDict_SetItem(__pyx_t_2, ((PyObject *)__pyx_kp_u_253), ((PyObject *)__pyx_kp_u_254)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18275  if (PyDict_SetItem(__pyx_d, __pyx_n_s____test__, ((PyObject *)__pyx_t_2)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
18276  __Pyx_DECREF(((PyObject *)__pyx_t_2)); __pyx_t_2 = 0;
18277  goto __pyx_L0;
18278  __pyx_L1_error:;
18279  __Pyx_XDECREF(__pyx_t_1);
18280  __Pyx_XDECREF(__pyx_t_2);
18281  __Pyx_XDECREF(__pyx_t_3);
18282  if (__pyx_m) {
18283  __Pyx_AddTraceback("init PyClical", __pyx_clineno, __pyx_lineno, __pyx_filename);
18284  Py_DECREF(__pyx_m); __pyx_m = 0;
18285  } else if (!PyErr_Occurred()) {
18286  PyErr_SetString(PyExc_ImportError, "init PyClical");
18287  }
18288  __pyx_L0:;
18289  __Pyx_RefNannyFinishContext();
18290  #if PY_MAJOR_VERSION < 3
18291  return;
18292  #else
18293  return __pyx_m;
18294  #endif
18295 }
18296 
18297 /* Runtime support code */
18298 #if CYTHON_REFNANNY
18299 static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
18300  PyObject *m = NULL, *p = NULL;
18301  void *r = NULL;
18302  m = PyImport_ImportModule((char *)modname);
18303  if (!m) goto end;
18304  p = PyObject_GetAttrString(m, (char *)"RefNannyAPI");
18305  if (!p) goto end;
18306  r = PyLong_AsVoidPtr(p);
18307 end:
18308  Py_XDECREF(p);
18309  Py_XDECREF(m);
18310  return (__Pyx_RefNannyAPIStruct *)r;
18311 }
18312 #endif /* CYTHON_REFNANNY */
18313 
18314 static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
18315  PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
18316  if (unlikely(!result)) {
18317  PyErr_Format(PyExc_NameError,
18318 #if PY_MAJOR_VERSION >= 3
18319  "name '%U' is not defined", name);
18320 #else
18321  "name '%s' is not defined", PyString_AS_STRING(name));
18322 #endif
18323  }
18324  return result;
18325 }
18326 
18327 static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) {
18328 #if CYTHON_COMPILING_IN_CPYTHON
18329  PyObject *tmp_type, *tmp_value, *tmp_tb;
18330  PyThreadState *tstate = PyThreadState_GET();
18331  tmp_type = tstate->curexc_type;
18332  tmp_value = tstate->curexc_value;
18333  tmp_tb = tstate->curexc_traceback;
18334  tstate->curexc_type = type;
18335  tstate->curexc_value = value;
18336  tstate->curexc_traceback = tb;
18337  Py_XDECREF(tmp_type);
18338  Py_XDECREF(tmp_value);
18339  Py_XDECREF(tmp_tb);
18340 #else
18341  PyErr_Restore(type, value, tb);
18342 #endif
18343 }
18344 static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
18345 #if CYTHON_COMPILING_IN_CPYTHON
18346  PyThreadState *tstate = PyThreadState_GET();
18347  *type = tstate->curexc_type;
18348  *value = tstate->curexc_value;
18349  *tb = tstate->curexc_traceback;
18350  tstate->curexc_type = 0;
18351  tstate->curexc_value = 0;
18352  tstate->curexc_traceback = 0;
18353 #else
18354  PyErr_Fetch(type, value, tb);
18355 #endif
18356 }
18357 
18358 static void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,
18359  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename) {
18360  PyObject *old_exc, *old_val, *old_tb;
18361  PyObject *ctx;
18362  __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
18363  #if PY_MAJOR_VERSION < 3
18364  ctx = PyString_FromString(name);
18365  #else
18366  ctx = PyUnicode_FromString(name);
18367  #endif
18368  __Pyx_ErrRestore(old_exc, old_val, old_tb);
18369  if (!ctx) {
18370  PyErr_WriteUnraisable(Py_None);
18371  } else {
18372  PyErr_WriteUnraisable(ctx);
18373  Py_DECREF(ctx);
18374  }
18375 }
18376 
18377 static void __Pyx_RaiseDoubleKeywordsError(
18378  const char* func_name,
18379  PyObject* kw_name)
18380 {
18381  PyErr_Format(PyExc_TypeError,
18382  #if PY_MAJOR_VERSION >= 3
18383  "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
18384  #else
18385  "%s() got multiple values for keyword argument '%s'", func_name,
18386  PyString_AsString(kw_name));
18387  #endif
18388 }
18389 
18390 static int __Pyx_ParseOptionalKeywords(
18391  PyObject *kwds,
18392  PyObject **argnames[],
18393  PyObject *kwds2,
18394  PyObject *values[],
18395  Py_ssize_t num_pos_args,
18396  const char* function_name)
18397 {
18398  PyObject *key = 0, *value = 0;
18399  Py_ssize_t pos = 0;
18400  PyObject*** name;
18401  PyObject*** first_kw_arg = argnames + num_pos_args;
18402  while (PyDict_Next(kwds, &pos, &key, &value)) {
18403  name = first_kw_arg;
18404  while (*name && (**name != key)) name++;
18405  if (*name) {
18406  values[name-argnames] = value;
18407  continue;
18408  }
18409  name = first_kw_arg;
18410  #if PY_MAJOR_VERSION < 3
18411  if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) {
18412  while (*name) {
18413  if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
18414  && _PyString_Eq(**name, key)) {
18415  values[name-argnames] = value;
18416  break;
18417  }
18418  name++;
18419  }
18420  if (*name) continue;
18421  else {
18422  PyObject*** argname = argnames;
18423  while (argname != first_kw_arg) {
18424  if ((**argname == key) || (
18425  (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
18426  && _PyString_Eq(**argname, key))) {
18427  goto arg_passed_twice;
18428  }
18429  argname++;
18430  }
18431  }
18432  } else
18433  #endif
18434  if (likely(PyUnicode_Check(key))) {
18435  while (*name) {
18436  int cmp = (**name == key) ? 0 :
18437  #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
18438  (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
18439  #endif
18440  PyUnicode_Compare(**name, key);
18441  if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
18442  if (cmp == 0) {
18443  values[name-argnames] = value;
18444  break;
18445  }
18446  name++;
18447  }
18448  if (*name) continue;
18449  else {
18450  PyObject*** argname = argnames;
18451  while (argname != first_kw_arg) {
18452  int cmp = (**argname == key) ? 0 :
18453  #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
18454  (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
18455  #endif
18456  PyUnicode_Compare(**argname, key);
18457  if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
18458  if (cmp == 0) goto arg_passed_twice;
18459  argname++;
18460  }
18461  }
18462  } else
18463  goto invalid_keyword_type;
18464  if (kwds2) {
18465  if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
18466  } else {
18467  goto invalid_keyword;
18468  }
18469  }
18470  return 0;
18471 arg_passed_twice:
18472  __Pyx_RaiseDoubleKeywordsError(function_name, key);
18473  goto bad;
18474 invalid_keyword_type:
18475  PyErr_Format(PyExc_TypeError,
18476  "%s() keywords must be strings", function_name);
18477  goto bad;
18478 invalid_keyword:
18479  PyErr_Format(PyExc_TypeError,
18480  #if PY_MAJOR_VERSION < 3
18481  "%s() got an unexpected keyword argument '%s'",
18482  function_name, PyString_AsString(key));
18483  #else
18484  "%s() got an unexpected keyword argument '%U'",
18485  function_name, key);
18486  #endif
18487 bad:
18488  return -1;
18489 }
18490 
18491 static void __Pyx_RaiseArgtupleInvalid(
18492  const char* func_name,
18493  int exact,
18494  Py_ssize_t num_min,
18495  Py_ssize_t num_max,
18496  Py_ssize_t num_found)
18497 {
18498  Py_ssize_t num_expected;
18499  const char *more_or_less;
18500  if (num_found < num_min) {
18501  num_expected = num_min;
18502  more_or_less = "at least";
18503  } else {
18504  num_expected = num_max;
18505  more_or_less = "at most";
18506  }
18507  if (exact) {
18508  more_or_less = "exactly";
18509  }
18510  PyErr_Format(PyExc_TypeError,
18511  "%s() takes %s %" CYTHON_FORMAT_SSIZE_T "d positional argument%s (%" CYTHON_FORMAT_SSIZE_T "d given)",
18512  func_name, more_or_less, num_expected,
18513  (num_expected == 1) ? "" : "s", num_found);
18514 }
18515 
18516 static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
18517  PyObject *result;
18518 #if CYTHON_COMPILING_IN_CPYTHON
18519  result = PyDict_GetItem(__pyx_d, name);
18520  if (result) {
18521  Py_INCREF(result);
18522  } else {
18523 #else
18524  result = PyObject_GetItem(__pyx_d, name);
18525  if (!result) {
18526  PyErr_Clear();
18527 #endif
18528  result = __Pyx_GetBuiltinName(name);
18529  }
18530  return result;
18531 }
18532 
18533 static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) {
18534  PyObject *local_type, *local_value, *local_tb;
18535 #if CYTHON_COMPILING_IN_CPYTHON
18536  PyObject *tmp_type, *tmp_value, *tmp_tb;
18537  PyThreadState *tstate = PyThreadState_GET();
18538  local_type = tstate->curexc_type;
18539  local_value = tstate->curexc_value;
18540  local_tb = tstate->curexc_traceback;
18541  tstate->curexc_type = 0;
18542  tstate->curexc_value = 0;
18543  tstate->curexc_traceback = 0;
18544 #else
18545  PyErr_Fetch(&local_type, &local_value, &local_tb);
18546 #endif
18547  PyErr_NormalizeException(&local_type, &local_value, &local_tb);
18548 #if CYTHON_COMPILING_IN_CPYTHON
18549  if (unlikely(tstate->curexc_type))
18550 #else
18551  if (unlikely(PyErr_Occurred()))
18552 #endif
18553  goto bad;
18554  #if PY_MAJOR_VERSION >= 3
18555  if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
18556  goto bad;
18557  #endif
18558  Py_INCREF(local_type);
18559  Py_INCREF(local_value);
18560  Py_INCREF(local_tb);
18561  *type = local_type;
18562  *value = local_value;
18563  *tb = local_tb;
18564 #if CYTHON_COMPILING_IN_CPYTHON
18565  tmp_type = tstate->exc_type;
18566  tmp_value = tstate->exc_value;
18567  tmp_tb = tstate->exc_traceback;
18568  tstate->exc_type = local_type;
18569  tstate->exc_value = local_value;
18570  tstate->exc_traceback = local_tb;
18571  /* Make sure tstate is in a consistent state when we XDECREF
18572  these objects (DECREF may run arbitrary code). */
18573  Py_XDECREF(tmp_type);
18574  Py_XDECREF(tmp_value);
18575  Py_XDECREF(tmp_tb);
18576 #else
18577  PyErr_SetExcInfo(local_type, local_value, local_tb);
18578 #endif
18579  return 0;
18580 bad:
18581  *type = 0;
18582  *value = 0;
18583  *tb = 0;
18584  Py_XDECREF(local_type);
18585  Py_XDECREF(local_value);
18586  Py_XDECREF(local_tb);
18587  return -1;
18588 }
18589 
18590 #if PY_MAJOR_VERSION < 3
18591 static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
18592  CYTHON_UNUSED PyObject *cause) {
18593  Py_XINCREF(type);
18594  if (!value || value == Py_None)
18595  value = NULL;
18596  else
18597  Py_INCREF(value);
18598  if (!tb || tb == Py_None)
18599  tb = NULL;
18600  else {
18601  Py_INCREF(tb);
18602  if (!PyTraceBack_Check(tb)) {
18603  PyErr_SetString(PyExc_TypeError,
18604  "raise: arg 3 must be a traceback or None");
18605  goto raise_error;
18606  }
18607  }
18608  #if PY_VERSION_HEX < 0x02050000
18609  if (PyClass_Check(type)) {
18610  #else
18611  if (PyType_Check(type)) {
18612  #endif
18613 #if CYTHON_COMPILING_IN_PYPY
18614  if (!value) {
18615  Py_INCREF(Py_None);
18616  value = Py_None;
18617  }
18618 #endif
18619  PyErr_NormalizeException(&type, &value, &tb);
18620  } else {
18621  if (value) {
18622  PyErr_SetString(PyExc_TypeError,
18623  "instance exception may not have a separate value");
18624  goto raise_error;
18625  }
18626  value = type;
18627  #if PY_VERSION_HEX < 0x02050000
18628  if (PyInstance_Check(type)) {
18629  type = (PyObject*) ((PyInstanceObject*)type)->in_class;
18630  Py_INCREF(type);
18631  } else {
18632  type = 0;
18633  PyErr_SetString(PyExc_TypeError,
18634  "raise: exception must be an old-style class or instance");
18635  goto raise_error;
18636  }
18637  #else
18638  type = (PyObject*) Py_TYPE(type);
18639  Py_INCREF(type);
18640  if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
18641  PyErr_SetString(PyExc_TypeError,
18642  "raise: exception class must be a subclass of BaseException");
18643  goto raise_error;
18644  }
18645  #endif
18646  }
18647  __Pyx_ErrRestore(type, value, tb);
18648  return;
18649 raise_error:
18650  Py_XDECREF(value);
18651  Py_XDECREF(type);
18652  Py_XDECREF(tb);
18653  return;
18654 }
18655 #else /* Python 3+ */
18656 static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
18657  PyObject* owned_instance = NULL;
18658  if (tb == Py_None) {
18659  tb = 0;
18660  } else if (tb && !PyTraceBack_Check(tb)) {
18661  PyErr_SetString(PyExc_TypeError,
18662  "raise: arg 3 must be a traceback or None");
18663  goto bad;
18664  }
18665  if (value == Py_None)
18666  value = 0;
18667  if (PyExceptionInstance_Check(type)) {
18668  if (value) {
18669  PyErr_SetString(PyExc_TypeError,
18670  "instance exception may not have a separate value");
18671  goto bad;
18672  }
18673  value = type;
18674  type = (PyObject*) Py_TYPE(value);
18675  } else if (PyExceptionClass_Check(type)) {
18676  PyObject *args;
18677  if (!value)
18678  args = PyTuple_New(0);
18679  else if (PyTuple_Check(value)) {
18680  Py_INCREF(value);
18681  args = value;
18682  } else
18683  args = PyTuple_Pack(1, value);
18684  if (!args)
18685  goto bad;
18686  owned_instance = PyEval_CallObject(type, args);
18687  Py_DECREF(args);
18688  if (!owned_instance)
18689  goto bad;
18690  value = owned_instance;
18691  if (!PyExceptionInstance_Check(value)) {
18692  PyErr_Format(PyExc_TypeError,
18693  "calling %R should have returned an instance of "
18694  "BaseException, not %R",
18695  type, Py_TYPE(value));
18696  goto bad;
18697  }
18698  } else {
18699  PyErr_SetString(PyExc_TypeError,
18700  "raise: exception class must be a subclass of BaseException");
18701  goto bad;
18702  }
18703 #if PY_VERSION_HEX >= 0x03030000
18704  if (cause) {
18705 #else
18706  if (cause && cause != Py_None) {
18707 #endif
18708  PyObject *fixed_cause;
18709  if (cause == Py_None) {
18710  fixed_cause = NULL;
18711  } else if (PyExceptionClass_Check(cause)) {
18712  fixed_cause = PyObject_CallObject(cause, NULL);
18713  if (fixed_cause == NULL)
18714  goto bad;
18715  } else if (PyExceptionInstance_Check(cause)) {
18716  fixed_cause = cause;
18717  Py_INCREF(fixed_cause);
18718  } else {
18719  PyErr_SetString(PyExc_TypeError,
18720  "exception causes must derive from "
18721  "BaseException");
18722  goto bad;
18723  }
18724  PyException_SetCause(value, fixed_cause);
18725  }
18726  PyErr_SetObject(type, value);
18727  if (tb) {
18728  PyThreadState *tstate = PyThreadState_GET();
18729  PyObject* tmp_tb = tstate->curexc_traceback;
18730  if (tb != tmp_tb) {
18731  Py_INCREF(tb);
18732  tstate->curexc_traceback = tb;
18733  Py_XDECREF(tmp_tb);
18734  }
18735  }
18736 bad:
18737  Py_XDECREF(owned_instance);
18738  return;
18739 }
18740 #endif
18741 
18742 static CYTHON_INLINE int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
18743  int r;
18744  if (!j) return -1;
18745  r = PyObject_SetItem(o, j, v);
18746  Py_DECREF(j);
18747  return r;
18748 }
18749 static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
18750  int is_list, int wraparound, int boundscheck) {
18751 #if CYTHON_COMPILING_IN_CPYTHON
18752  if (is_list || PyList_CheckExact(o)) {
18753  Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
18754  if ((!boundscheck) || likely((n >= 0) & (n < PyList_GET_SIZE(o)))) {
18755  PyObject* old = PyList_GET_ITEM(o, n);
18756  Py_INCREF(v);
18757  PyList_SET_ITEM(o, n, v);
18758  Py_DECREF(old);
18759  return 1;
18760  }
18761  } else {
18762  PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
18763  if (likely(m && m->sq_ass_item)) {
18764  if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
18765  Py_ssize_t l = m->sq_length(o);
18766  if (likely(l >= 0)) {
18767  i += l;
18768  } else {
18769  if (PyErr_ExceptionMatches(PyExc_OverflowError))
18770  PyErr_Clear();
18771  else
18772  return -1;
18773  }
18774  }
18775  return m->sq_ass_item(o, i, v);
18776  }
18777  }
18778 #else
18779 #if CYTHON_COMPILING_IN_PYPY
18780  if (is_list || (PySequence_Check(o) && !PyDict_Check(o))) {
18781 #else
18782  if (is_list || PySequence_Check(o)) {
18783 #endif
18784  return PySequence_SetItem(o, i, v);
18785  }
18786 #endif
18787  return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
18788 }
18789 
18790 static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
18791  const char *name, int exact)
18792 {
18793  if (!type) {
18794  PyErr_Format(PyExc_SystemError, "Missing type object");
18795  return 0;
18796  }
18797  if (none_allowed && obj == Py_None) return 1;
18798  else if (exact) {
18799  if (Py_TYPE(obj) == type) return 1;
18800  }
18801  else {
18802  if (PyObject_TypeCheck(obj, type)) return 1;
18803  }
18804  PyErr_Format(PyExc_TypeError,
18805  "Argument '%s' has incorrect type (expected %s, got %s)",
18806  name, type->tp_name, Py_TYPE(obj)->tp_name);
18807  return 0;
18808 }
18809 
18810 static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
18811 #if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION==3&&PY_MINOR_VERSION==0)
18812  PyObject *ob = PyCapsule_New(vtable, 0, 0);
18813 #else
18814  PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
18815 #endif
18816  if (!ob)
18817  goto bad;
18818  if (PyDict_SetItem(dict, __pyx_n_s____pyx_vtable__, ob) < 0)
18819  goto bad;
18820  Py_DECREF(ob);
18821  return 0;
18822 bad:
18823  Py_XDECREF(ob);
18824  return -1;
18825 }
18826 
18827 static CYTHON_INLINE void __Pyx_ExceptionSave(PyObject **type, PyObject **value, PyObject **tb) {
18828 #if CYTHON_COMPILING_IN_CPYTHON
18829  PyThreadState *tstate = PyThreadState_GET();
18830  *type = tstate->exc_type;
18831  *value = tstate->exc_value;
18832  *tb = tstate->exc_traceback;
18833  Py_XINCREF(*type);
18834  Py_XINCREF(*value);
18835  Py_XINCREF(*tb);
18836 #else
18837  PyErr_GetExcInfo(type, value, tb);
18838 #endif
18839 }
18840 static void __Pyx_ExceptionReset(PyObject *type, PyObject *value, PyObject *tb) {
18841 #if CYTHON_COMPILING_IN_CPYTHON
18842  PyObject *tmp_type, *tmp_value, *tmp_tb;
18843  PyThreadState *tstate = PyThreadState_GET();
18844  tmp_type = tstate->exc_type;
18845  tmp_value = tstate->exc_value;
18846  tmp_tb = tstate->exc_traceback;
18847  tstate->exc_type = type;
18848  tstate->exc_value = value;
18849  tstate->exc_traceback = tb;
18850  Py_XDECREF(tmp_type);
18851  Py_XDECREF(tmp_value);
18852  Py_XDECREF(tmp_tb);
18853 #else
18854  PyErr_SetExcInfo(type, value, tb);
18855 #endif
18856 }
18857 
18858 static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
18859  PyObject *empty_list = 0;
18860  PyObject *module = 0;
18861  PyObject *global_dict = 0;
18862  PyObject *empty_dict = 0;
18863  PyObject *list;
18864  #if PY_VERSION_HEX < 0x03030000
18865  PyObject *py_import;
18866  py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s____import__);
18867  if (!py_import)
18868  goto bad;
18869  #endif
18870  if (from_list)
18871  list = from_list;
18872  else {
18873  empty_list = PyList_New(0);
18874  if (!empty_list)
18875  goto bad;
18876  list = empty_list;
18877  }
18878  global_dict = PyModule_GetDict(__pyx_m);
18879  if (!global_dict)
18880  goto bad;
18881  empty_dict = PyDict_New();
18882  if (!empty_dict)
18883  goto bad;
18884  #if PY_VERSION_HEX >= 0x02050000
18885  {
18886  #if PY_MAJOR_VERSION >= 3
18887  if (level == -1) {
18888  if (strchr(__Pyx_MODULE_NAME, '.')) {
18889  #if PY_VERSION_HEX < 0x03030000
18890  PyObject *py_level = PyInt_FromLong(1);
18891  if (!py_level)
18892  goto bad;
18893  module = PyObject_CallFunctionObjArgs(py_import,
18894  name, global_dict, empty_dict, list, py_level, NULL);
18895  Py_DECREF(py_level);
18896  #else
18897  module = PyImport_ImportModuleLevelObject(
18898  name, global_dict, empty_dict, list, 1);
18899  #endif
18900  if (!module) {
18901  if (!PyErr_ExceptionMatches(PyExc_ImportError))
18902  goto bad;
18903  PyErr_Clear();
18904  }
18905  }
18906  level = 0; /* try absolute import on failure */
18907  }
18908  #endif
18909  if (!module) {
18910  #if PY_VERSION_HEX < 0x03030000
18911  PyObject *py_level = PyInt_FromLong(level);
18912  if (!py_level)
18913  goto bad;
18914  module = PyObject_CallFunctionObjArgs(py_import,
18915  name, global_dict, empty_dict, list, py_level, NULL);
18916  Py_DECREF(py_level);
18917  #else
18918  module = PyImport_ImportModuleLevelObject(
18919  name, global_dict, empty_dict, list, level);
18920  #endif
18921  }
18922  }
18923  #else
18924  if (level>0) {
18925  PyErr_SetString(PyExc_RuntimeError, "Relative import is not supported for Python <=2.4.");
18926  goto bad;
18927  }
18928  module = PyObject_CallFunctionObjArgs(py_import,
18929  name, global_dict, empty_dict, list, NULL);
18930  #endif
18931 bad:
18932  #if PY_VERSION_HEX < 0x03030000
18933  Py_XDECREF(py_import);
18934  #endif
18935  Py_XDECREF(empty_list);
18936  Py_XDECREF(empty_dict);
18937  return module;
18938 }
18939 
18940 static CYTHON_INLINE unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject* x) {
18941  const unsigned char neg_one = (unsigned char)-1, const_zero = 0;
18942  const int is_unsigned = neg_one > const_zero;
18943  if (sizeof(unsigned char) < sizeof(long)) {
18944  long val = __Pyx_PyInt_AsLong(x);
18945  if (unlikely(val != (long)(unsigned char)val)) {
18946  if (!unlikely(val == -1 && PyErr_Occurred())) {
18947  PyErr_SetString(PyExc_OverflowError,
18948  (is_unsigned && unlikely(val < 0)) ?
18949  "can't convert negative value to unsigned char" :
18950  "value too large to convert to unsigned char");
18951  }
18952  return (unsigned char)-1;
18953  }
18954  return (unsigned char)val;
18955  }
18956  return (unsigned char)__Pyx_PyInt_AsUnsignedLong(x);
18957 }
18958 
18959 static CYTHON_INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject* x) {
18960  const unsigned short neg_one = (unsigned short)-1, const_zero = 0;
18961  const int is_unsigned = neg_one > const_zero;
18962  if (sizeof(unsigned short) < sizeof(long)) {
18963  long val = __Pyx_PyInt_AsLong(x);
18964  if (unlikely(val != (long)(unsigned short)val)) {
18965  if (!unlikely(val == -1 && PyErr_Occurred())) {
18966  PyErr_SetString(PyExc_OverflowError,
18967  (is_unsigned && unlikely(val < 0)) ?
18968  "can't convert negative value to unsigned short" :
18969  "value too large to convert to unsigned short");
18970  }
18971  return (unsigned short)-1;
18972  }
18973  return (unsigned short)val;
18974  }
18975  return (unsigned short)__Pyx_PyInt_AsUnsignedLong(x);
18976 }
18977 
18978 static CYTHON_INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject* x) {
18979  const unsigned int neg_one = (unsigned int)-1, const_zero = 0;
18980  const int is_unsigned = neg_one > const_zero;
18981  if (sizeof(unsigned int) < sizeof(long)) {
18982  long val = __Pyx_PyInt_AsLong(x);
18983  if (unlikely(val != (long)(unsigned int)val)) {
18984  if (!unlikely(val == -1 && PyErr_Occurred())) {
18985  PyErr_SetString(PyExc_OverflowError,
18986  (is_unsigned && unlikely(val < 0)) ?
18987  "can't convert negative value to unsigned int" :
18988  "value too large to convert to unsigned int");
18989  }
18990  return (unsigned int)-1;
18991  }
18992  return (unsigned int)val;
18993  }
18994  return (unsigned int)__Pyx_PyInt_AsUnsignedLong(x);
18995 }
18996 
18997 static CYTHON_INLINE char __Pyx_PyInt_AsChar(PyObject* x) {
18998  const char neg_one = (char)-1, const_zero = 0;
18999  const int is_unsigned = neg_one > const_zero;
19000  if (sizeof(char) < sizeof(long)) {
19001  long val = __Pyx_PyInt_AsLong(x);
19002  if (unlikely(val != (long)(char)val)) {
19003  if (!unlikely(val == -1 && PyErr_Occurred())) {
19004  PyErr_SetString(PyExc_OverflowError,
19005  (is_unsigned && unlikely(val < 0)) ?
19006  "can't convert negative value to char" :
19007  "value too large to convert to char");
19008  }
19009  return (char)-1;
19010  }
19011  return (char)val;
19012  }
19013  return (char)__Pyx_PyInt_AsLong(x);
19014 }
19015 
19016 static CYTHON_INLINE short __Pyx_PyInt_AsShort(PyObject* x) {
19017  const short neg_one = (short)-1, const_zero = 0;
19018  const int is_unsigned = neg_one > const_zero;
19019  if (sizeof(short) < sizeof(long)) {
19020  long val = __Pyx_PyInt_AsLong(x);
19021  if (unlikely(val != (long)(short)val)) {
19022  if (!unlikely(val == -1 && PyErr_Occurred())) {
19023  PyErr_SetString(PyExc_OverflowError,
19024  (is_unsigned && unlikely(val < 0)) ?
19025  "can't convert negative value to short" :
19026  "value too large to convert to short");
19027  }
19028  return (short)-1;
19029  }
19030  return (short)val;
19031  }
19032  return (short)__Pyx_PyInt_AsLong(x);
19033 }
19034 
19035 static CYTHON_INLINE int __Pyx_PyInt_AsInt(PyObject* x) {
19036  const int neg_one = (int)-1, const_zero = 0;
19037  const int is_unsigned = neg_one > const_zero;
19038  if (sizeof(int) < sizeof(long)) {
19039  long val = __Pyx_PyInt_AsLong(x);
19040  if (unlikely(val != (long)(int)val)) {
19041  if (!unlikely(val == -1 && PyErr_Occurred())) {
19042  PyErr_SetString(PyExc_OverflowError,
19043  (is_unsigned && unlikely(val < 0)) ?
19044  "can't convert negative value to int" :
19045  "value too large to convert to int");
19046  }
19047  return (int)-1;
19048  }
19049  return (int)val;
19050  }
19051  return (int)__Pyx_PyInt_AsLong(x);
19052 }
19053 
19054 static CYTHON_INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject* x) {
19055  const signed char neg_one = (signed char)-1, const_zero = 0;
19056  const int is_unsigned = neg_one > const_zero;
19057  if (sizeof(signed char) < sizeof(long)) {
19058  long val = __Pyx_PyInt_AsLong(x);
19059  if (unlikely(val != (long)(signed char)val)) {
19060  if (!unlikely(val == -1 && PyErr_Occurred())) {
19061  PyErr_SetString(PyExc_OverflowError,
19062  (is_unsigned && unlikely(val < 0)) ?
19063  "can't convert negative value to signed char" :
19064  "value too large to convert to signed char");
19065  }
19066  return (signed char)-1;
19067  }
19068  return (signed char)val;
19069  }
19070  return (signed char)__Pyx_PyInt_AsSignedLong(x);
19071 }
19072 
19073 static CYTHON_INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject* x) {
19074  const signed short neg_one = (signed short)-1, const_zero = 0;
19075  const int is_unsigned = neg_one > const_zero;
19076  if (sizeof(signed short) < sizeof(long)) {
19077  long val = __Pyx_PyInt_AsLong(x);
19078  if (unlikely(val != (long)(signed short)val)) {
19079  if (!unlikely(val == -1 && PyErr_Occurred())) {
19080  PyErr_SetString(PyExc_OverflowError,
19081  (is_unsigned && unlikely(val < 0)) ?
19082  "can't convert negative value to signed short" :
19083  "value too large to convert to signed short");
19084  }
19085  return (signed short)-1;
19086  }
19087  return (signed short)val;
19088  }
19089  return (signed short)__Pyx_PyInt_AsSignedLong(x);
19090 }
19091 
19092 static CYTHON_INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject* x) {
19093  const signed int neg_one = (signed int)-1, const_zero = 0;
19094  const int is_unsigned = neg_one > const_zero;
19095  if (sizeof(signed int) < sizeof(long)) {
19096  long val = __Pyx_PyInt_AsLong(x);
19097  if (unlikely(val != (long)(signed int)val)) {
19098  if (!unlikely(val == -1 && PyErr_Occurred())) {
19099  PyErr_SetString(PyExc_OverflowError,
19100  (is_unsigned && unlikely(val < 0)) ?
19101  "can't convert negative value to signed int" :
19102  "value too large to convert to signed int");
19103  }
19104  return (signed int)-1;
19105  }
19106  return (signed int)val;
19107  }
19108  return (signed int)__Pyx_PyInt_AsSignedLong(x);
19109 }
19110 
19111 static CYTHON_INLINE int __Pyx_PyInt_AsLongDouble(PyObject* x) {
19112  const int neg_one = (int)-1, const_zero = 0;
19113  const int is_unsigned = neg_one > const_zero;
19114  if (sizeof(int) < sizeof(long)) {
19115  long val = __Pyx_PyInt_AsLong(x);
19116  if (unlikely(val != (long)(int)val)) {
19117  if (!unlikely(val == -1 && PyErr_Occurred())) {
19118  PyErr_SetString(PyExc_OverflowError,
19119  (is_unsigned && unlikely(val < 0)) ?
19120  "can't convert negative value to int" :
19121  "value too large to convert to int");
19122  }
19123  return (int)-1;
19124  }
19125  return (int)val;
19126  }
19127  return (int)__Pyx_PyInt_AsLong(x);
19128 }
19129 
19130 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19131 #if CYTHON_USE_PYLONG_INTERNALS
19132 #include "longintrepr.h"
19133 #endif
19134 #endif
19135 static CYTHON_INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject* x) {
19136  const unsigned long neg_one = (unsigned long)-1, const_zero = 0;
19137  const int is_unsigned = neg_one > const_zero;
19138 #if PY_MAJOR_VERSION < 3
19139  if (likely(PyInt_Check(x))) {
19140  long val = PyInt_AS_LONG(x);
19141  if (is_unsigned && unlikely(val < 0)) {
19142  PyErr_SetString(PyExc_OverflowError,
19143  "can't convert negative value to unsigned long");
19144  return (unsigned long)-1;
19145  }
19146  return (unsigned long)val;
19147  } else
19148 #endif
19149  if (likely(PyLong_Check(x))) {
19150  if (is_unsigned) {
19151 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19152 #if CYTHON_USE_PYLONG_INTERNALS
19153  if (sizeof(digit) <= sizeof(unsigned long)) {
19154  switch (Py_SIZE(x)) {
19155  case 0: return 0;
19156  case 1: return (unsigned long) ((PyLongObject*)x)->ob_digit[0];
19157  }
19158  }
19159 #endif
19160 #endif
19161  if (unlikely(Py_SIZE(x) < 0)) {
19162  PyErr_SetString(PyExc_OverflowError,
19163  "can't convert negative value to unsigned long");
19164  return (unsigned long)-1;
19165  }
19166  return (unsigned long)PyLong_AsUnsignedLong(x);
19167  } else {
19168 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19169 #if CYTHON_USE_PYLONG_INTERNALS
19170  if (sizeof(digit) <= sizeof(unsigned long)) {
19171  switch (Py_SIZE(x)) {
19172  case 0: return 0;
19173  case 1: return +(unsigned long) ((PyLongObject*)x)->ob_digit[0];
19174  case -1: return -(unsigned long) ((PyLongObject*)x)->ob_digit[0];
19175  }
19176  }
19177 #endif
19178 #endif
19179  return (unsigned long)PyLong_AsLong(x);
19180  }
19181  } else {
19182  unsigned long val;
19183  PyObject *tmp = __Pyx_PyNumber_Int(x);
19184  if (!tmp) return (unsigned long)-1;
19185  val = __Pyx_PyInt_AsUnsignedLong(tmp);
19186  Py_DECREF(tmp);
19187  return val;
19188  }
19189 }
19190 
19191 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19192 #if CYTHON_USE_PYLONG_INTERNALS
19193 #include "longintrepr.h"
19194 #endif
19195 #endif
19196 static CYTHON_INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject* x) {
19197  const unsigned PY_LONG_LONG neg_one = (unsigned PY_LONG_LONG)-1, const_zero = 0;
19198  const int is_unsigned = neg_one > const_zero;
19199 #if PY_MAJOR_VERSION < 3
19200  if (likely(PyInt_Check(x))) {
19201  long val = PyInt_AS_LONG(x);
19202  if (is_unsigned && unlikely(val < 0)) {
19203  PyErr_SetString(PyExc_OverflowError,
19204  "can't convert negative value to unsigned PY_LONG_LONG");
19205  return (unsigned PY_LONG_LONG)-1;
19206  }
19207  return (unsigned PY_LONG_LONG)val;
19208  } else
19209 #endif
19210  if (likely(PyLong_Check(x))) {
19211  if (is_unsigned) {
19212 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19213 #if CYTHON_USE_PYLONG_INTERNALS
19214  if (sizeof(digit) <= sizeof(unsigned PY_LONG_LONG)) {
19215  switch (Py_SIZE(x)) {
19216  case 0: return 0;
19217  case 1: return (unsigned PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
19218  }
19219  }
19220 #endif
19221 #endif
19222  if (unlikely(Py_SIZE(x) < 0)) {
19223  PyErr_SetString(PyExc_OverflowError,
19224  "can't convert negative value to unsigned PY_LONG_LONG");
19225  return (unsigned PY_LONG_LONG)-1;
19226  }
19227  return (unsigned PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
19228  } else {
19229 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19230 #if CYTHON_USE_PYLONG_INTERNALS
19231  if (sizeof(digit) <= sizeof(unsigned PY_LONG_LONG)) {
19232  switch (Py_SIZE(x)) {
19233  case 0: return 0;
19234  case 1: return +(unsigned PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
19235  case -1: return -(unsigned PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
19236  }
19237  }
19238 #endif
19239 #endif
19240  return (unsigned PY_LONG_LONG)PyLong_AsLongLong(x);
19241  }
19242  } else {
19243  unsigned PY_LONG_LONG val;
19244  PyObject *tmp = __Pyx_PyNumber_Int(x);
19245  if (!tmp) return (unsigned PY_LONG_LONG)-1;
19246  val = __Pyx_PyInt_AsUnsignedLongLong(tmp);
19247  Py_DECREF(tmp);
19248  return val;
19249  }
19250 }
19251 
19252 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19253 #if CYTHON_USE_PYLONG_INTERNALS
19254 #include "longintrepr.h"
19255 #endif
19256 #endif
19257 static CYTHON_INLINE long __Pyx_PyInt_AsLong(PyObject* x) {
19258  const long neg_one = (long)-1, const_zero = 0;
19259  const int is_unsigned = neg_one > const_zero;
19260 #if PY_MAJOR_VERSION < 3
19261  if (likely(PyInt_Check(x))) {
19262  long val = PyInt_AS_LONG(x);
19263  if (is_unsigned && unlikely(val < 0)) {
19264  PyErr_SetString(PyExc_OverflowError,
19265  "can't convert negative value to long");
19266  return (long)-1;
19267  }
19268  return (long)val;
19269  } else
19270 #endif
19271  if (likely(PyLong_Check(x))) {
19272  if (is_unsigned) {
19273 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19274 #if CYTHON_USE_PYLONG_INTERNALS
19275  if (sizeof(digit) <= sizeof(long)) {
19276  switch (Py_SIZE(x)) {
19277  case 0: return 0;
19278  case 1: return (long) ((PyLongObject*)x)->ob_digit[0];
19279  }
19280  }
19281 #endif
19282 #endif
19283  if (unlikely(Py_SIZE(x) < 0)) {
19284  PyErr_SetString(PyExc_OverflowError,
19285  "can't convert negative value to long");
19286  return (long)-1;
19287  }
19288  return (long)PyLong_AsUnsignedLong(x);
19289  } else {
19290 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19291 #if CYTHON_USE_PYLONG_INTERNALS
19292  if (sizeof(digit) <= sizeof(long)) {
19293  switch (Py_SIZE(x)) {
19294  case 0: return 0;
19295  case 1: return +(long) ((PyLongObject*)x)->ob_digit[0];
19296  case -1: return -(long) ((PyLongObject*)x)->ob_digit[0];
19297  }
19298  }
19299 #endif
19300 #endif
19301  return (long)PyLong_AsLong(x);
19302  }
19303  } else {
19304  long val;
19305  PyObject *tmp = __Pyx_PyNumber_Int(x);
19306  if (!tmp) return (long)-1;
19307  val = __Pyx_PyInt_AsLong(tmp);
19308  Py_DECREF(tmp);
19309  return val;
19310  }
19311 }
19312 
19313 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19314 #if CYTHON_USE_PYLONG_INTERNALS
19315 #include "longintrepr.h"
19316 #endif
19317 #endif
19318 static CYTHON_INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject* x) {
19319  const PY_LONG_LONG neg_one = (PY_LONG_LONG)-1, const_zero = 0;
19320  const int is_unsigned = neg_one > const_zero;
19321 #if PY_MAJOR_VERSION < 3
19322  if (likely(PyInt_Check(x))) {
19323  long val = PyInt_AS_LONG(x);
19324  if (is_unsigned && unlikely(val < 0)) {
19325  PyErr_SetString(PyExc_OverflowError,
19326  "can't convert negative value to PY_LONG_LONG");
19327  return (PY_LONG_LONG)-1;
19328  }
19329  return (PY_LONG_LONG)val;
19330  } else
19331 #endif
19332  if (likely(PyLong_Check(x))) {
19333  if (is_unsigned) {
19334 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19335 #if CYTHON_USE_PYLONG_INTERNALS
19336  if (sizeof(digit) <= sizeof(PY_LONG_LONG)) {
19337  switch (Py_SIZE(x)) {
19338  case 0: return 0;
19339  case 1: return (PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
19340  }
19341  }
19342 #endif
19343 #endif
19344  if (unlikely(Py_SIZE(x) < 0)) {
19345  PyErr_SetString(PyExc_OverflowError,
19346  "can't convert negative value to PY_LONG_LONG");
19347  return (PY_LONG_LONG)-1;
19348  }
19349  return (PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
19350  } else {
19351 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19352 #if CYTHON_USE_PYLONG_INTERNALS
19353  if (sizeof(digit) <= sizeof(PY_LONG_LONG)) {
19354  switch (Py_SIZE(x)) {
19355  case 0: return 0;
19356  case 1: return +(PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
19357  case -1: return -(PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
19358  }
19359  }
19360 #endif
19361 #endif
19362  return (PY_LONG_LONG)PyLong_AsLongLong(x);
19363  }
19364  } else {
19365  PY_LONG_LONG val;
19366  PyObject *tmp = __Pyx_PyNumber_Int(x);
19367  if (!tmp) return (PY_LONG_LONG)-1;
19368  val = __Pyx_PyInt_AsLongLong(tmp);
19369  Py_DECREF(tmp);
19370  return val;
19371  }
19372 }
19373 
19374 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19375 #if CYTHON_USE_PYLONG_INTERNALS
19376 #include "longintrepr.h"
19377 #endif
19378 #endif
19379 static CYTHON_INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject* x) {
19380  const signed long neg_one = (signed long)-1, const_zero = 0;
19381  const int is_unsigned = neg_one > const_zero;
19382 #if PY_MAJOR_VERSION < 3
19383  if (likely(PyInt_Check(x))) {
19384  long val = PyInt_AS_LONG(x);
19385  if (is_unsigned && unlikely(val < 0)) {
19386  PyErr_SetString(PyExc_OverflowError,
19387  "can't convert negative value to signed long");
19388  return (signed long)-1;
19389  }
19390  return (signed long)val;
19391  } else
19392 #endif
19393  if (likely(PyLong_Check(x))) {
19394  if (is_unsigned) {
19395 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19396 #if CYTHON_USE_PYLONG_INTERNALS
19397  if (sizeof(digit) <= sizeof(signed long)) {
19398  switch (Py_SIZE(x)) {
19399  case 0: return 0;
19400  case 1: return (signed long) ((PyLongObject*)x)->ob_digit[0];
19401  }
19402  }
19403 #endif
19404 #endif
19405  if (unlikely(Py_SIZE(x) < 0)) {
19406  PyErr_SetString(PyExc_OverflowError,
19407  "can't convert negative value to signed long");
19408  return (signed long)-1;
19409  }
19410  return (signed long)PyLong_AsUnsignedLong(x);
19411  } else {
19412 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19413 #if CYTHON_USE_PYLONG_INTERNALS
19414  if (sizeof(digit) <= sizeof(signed long)) {
19415  switch (Py_SIZE(x)) {
19416  case 0: return 0;
19417  case 1: return +(signed long) ((PyLongObject*)x)->ob_digit[0];
19418  case -1: return -(signed long) ((PyLongObject*)x)->ob_digit[0];
19419  }
19420  }
19421 #endif
19422 #endif
19423  return (signed long)PyLong_AsLong(x);
19424  }
19425  } else {
19426  signed long val;
19427  PyObject *tmp = __Pyx_PyNumber_Int(x);
19428  if (!tmp) return (signed long)-1;
19429  val = __Pyx_PyInt_AsSignedLong(tmp);
19430  Py_DECREF(tmp);
19431  return val;
19432  }
19433 }
19434 
19435 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19436 #if CYTHON_USE_PYLONG_INTERNALS
19437 #include "longintrepr.h"
19438 #endif
19439 #endif
19440 static CYTHON_INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject* x) {
19441  const signed PY_LONG_LONG neg_one = (signed PY_LONG_LONG)-1, const_zero = 0;
19442  const int is_unsigned = neg_one > const_zero;
19443 #if PY_MAJOR_VERSION < 3
19444  if (likely(PyInt_Check(x))) {
19445  long val = PyInt_AS_LONG(x);
19446  if (is_unsigned && unlikely(val < 0)) {
19447  PyErr_SetString(PyExc_OverflowError,
19448  "can't convert negative value to signed PY_LONG_LONG");
19449  return (signed PY_LONG_LONG)-1;
19450  }
19451  return (signed PY_LONG_LONG)val;
19452  } else
19453 #endif
19454  if (likely(PyLong_Check(x))) {
19455  if (is_unsigned) {
19456 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19457 #if CYTHON_USE_PYLONG_INTERNALS
19458  if (sizeof(digit) <= sizeof(signed PY_LONG_LONG)) {
19459  switch (Py_SIZE(x)) {
19460  case 0: return 0;
19461  case 1: return (signed PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
19462  }
19463  }
19464 #endif
19465 #endif
19466  if (unlikely(Py_SIZE(x) < 0)) {
19467  PyErr_SetString(PyExc_OverflowError,
19468  "can't convert negative value to signed PY_LONG_LONG");
19469  return (signed PY_LONG_LONG)-1;
19470  }
19471  return (signed PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
19472  } else {
19473 #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
19474 #if CYTHON_USE_PYLONG_INTERNALS
19475  if (sizeof(digit) <= sizeof(signed PY_LONG_LONG)) {
19476  switch (Py_SIZE(x)) {
19477  case 0: return 0;
19478  case 1: return +(signed PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
19479  case -1: return -(signed PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
19480  }
19481  }
19482 #endif
19483 #endif
19484  return (signed PY_LONG_LONG)PyLong_AsLongLong(x);
19485  }
19486  } else {
19487  signed PY_LONG_LONG val;
19488  PyObject *tmp = __Pyx_PyNumber_Int(x);
19489  if (!tmp) return (signed PY_LONG_LONG)-1;
19490  val = __Pyx_PyInt_AsSignedLongLong(tmp);
19491  Py_DECREF(tmp);
19492  return val;
19493  }
19494 }
19495 
19496 static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
19497  PyObject *tmp_type, *tmp_value, *tmp_tb;
19498 #if CYTHON_COMPILING_IN_CPYTHON
19499  PyThreadState *tstate = PyThreadState_GET();
19500  tmp_type = tstate->exc_type;
19501  tmp_value = tstate->exc_value;
19502  tmp_tb = tstate->exc_traceback;
19503  tstate->exc_type = *type;
19504  tstate->exc_value = *value;
19505  tstate->exc_traceback = *tb;
19506 #else
19507  PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
19508  PyErr_SetExcInfo(*type, *value, *tb);
19509 #endif
19510  *type = tmp_type;
19511  *value = tmp_value;
19512  *tb = tmp_tb;
19513 }
19514 
19515 static PyObject *__Pyx_Generator_Next(PyObject *self);
19516 static PyObject *__Pyx_Generator_Send(PyObject *self, PyObject *value);
19517 static PyObject *__Pyx_Generator_Close(PyObject *self);
19518 static PyObject *__Pyx_Generator_Throw(PyObject *gen, PyObject *args);
19519 static PyTypeObject *__pyx_GeneratorType = 0;
19520 #define __Pyx_Generator_CheckExact(obj) (Py_TYPE(obj) == __pyx_GeneratorType)
19521 #define __Pyx_Generator_Undelegate(gen) Py_CLEAR((gen)->yieldfrom)
19522 #if 1 || PY_VERSION_HEX < 0x030300B0
19523 static int __Pyx_PyGen_FetchStopIterationValue(PyObject **pvalue) {
19524  PyObject *et, *ev, *tb;
19525  PyObject *value = NULL;
19526  __Pyx_ErrFetch(&et, &ev, &tb);
19527  if (!et) {
19528  Py_XDECREF(tb);
19529  Py_XDECREF(ev);
19530  Py_INCREF(Py_None);
19531  *pvalue = Py_None;
19532  return 0;
19533  }
19534  if (unlikely(et != PyExc_StopIteration) &&
19535  unlikely(!PyErr_GivenExceptionMatches(et, PyExc_StopIteration))) {
19536  __Pyx_ErrRestore(et, ev, tb);
19537  return -1;
19538  }
19539  if (likely(et == PyExc_StopIteration)) {
19540  if (likely(!ev) || !PyObject_IsInstance(ev, PyExc_StopIteration)) {
19541  if (!ev) {
19542  Py_INCREF(Py_None);
19543  ev = Py_None;
19544  }
19545  Py_XDECREF(tb);
19546  Py_DECREF(et);
19547  *pvalue = ev;
19548  return 0;
19549  }
19550  }
19551  PyErr_NormalizeException(&et, &ev, &tb);
19552  if (unlikely(!PyObject_IsInstance(ev, PyExc_StopIteration))) {
19553  __Pyx_ErrRestore(et, ev, tb);
19554  return -1;
19555  }
19556  Py_XDECREF(tb);
19557  Py_DECREF(et);
19558 #if PY_VERSION_HEX >= 0x030300A0
19559  value = ((PyStopIterationObject *)ev)->value;
19560  Py_INCREF(value);
19561  Py_DECREF(ev);
19562 #else
19563  {
19564  PyObject* args = PyObject_GetAttr(ev, __pyx_n_s__args);
19565  Py_DECREF(ev);
19566  if (likely(args)) {
19567  value = PyObject_GetItem(args, 0);
19568  Py_DECREF(args);
19569  }
19570  if (unlikely(!value)) {
19571  __Pyx_ErrRestore(NULL, NULL, NULL);
19572  Py_INCREF(Py_None);
19573  value = Py_None;
19574  }
19575  }
19576 #endif
19577  *pvalue = value;
19578  return 0;
19579 }
19580 #endif
19581 static CYTHON_INLINE
19582 void __Pyx_Generator_ExceptionClear(__pyx_GeneratorObject *self) {
19583  PyObject *exc_type = self->exc_type;
19584  PyObject *exc_value = self->exc_value;
19585  PyObject *exc_traceback = self->exc_traceback;
19586  self->exc_type = NULL;
19587  self->exc_value = NULL;
19588  self->exc_traceback = NULL;
19589  Py_XDECREF(exc_type);
19590  Py_XDECREF(exc_value);
19591  Py_XDECREF(exc_traceback);
19592 }
19593 static CYTHON_INLINE
19594 int __Pyx_Generator_CheckRunning(__pyx_GeneratorObject *gen) {
19595  if (unlikely(gen->is_running)) {
19596  PyErr_SetString(PyExc_ValueError,
19597  "generator already executing");
19598  return 1;
19599  }
19600  return 0;
19601 }
19602 static CYTHON_INLINE
19603 PyObject *__Pyx_Generator_SendEx(__pyx_GeneratorObject *self, PyObject *value) {
19604  PyObject *retval;
19605  assert(!self->is_running);
19606  if (unlikely(self->resume_label == 0)) {
19607  if (unlikely(value && value != Py_None)) {
19608  PyErr_SetString(PyExc_TypeError,
19609  "can't send non-None value to a "
19610  "just-started generator");
19611  return NULL;
19612  }
19613  }
19614  if (unlikely(self->resume_label == -1)) {
19615  PyErr_SetNone(PyExc_StopIteration);
19616  return NULL;
19617  }
19618  if (value) {
19619 #if CYTHON_COMPILING_IN_PYPY
19620 #else
19621  /* Generators always return to their most recent caller, not
19622  * necessarily their creator. */
19623  if (self->exc_traceback) {
19624  PyThreadState *tstate = PyThreadState_GET();
19625  PyTracebackObject *tb = (PyTracebackObject *) self->exc_traceback;
19626  PyFrameObject *f = tb->tb_frame;
19627  Py_XINCREF(tstate->frame);
19628  assert(f->f_back == NULL);
19629  f->f_back = tstate->frame;
19630  }
19631 #endif
19632  __Pyx_ExceptionSwap(&self->exc_type, &self->exc_value,
19633  &self->exc_traceback);
19634  } else {
19635  __Pyx_Generator_ExceptionClear(self);
19636  }
19637  self->is_running = 1;
19638  retval = self->body((PyObject *) self, value);
19639  self->is_running = 0;
19640  if (retval) {
19641  __Pyx_ExceptionSwap(&self->exc_type, &self->exc_value,
19642  &self->exc_traceback);
19643 #if CYTHON_COMPILING_IN_PYPY
19644 #else
19645  /* Don't keep the reference to f_back any longer than necessary. It
19646  * may keep a chain of frames alive or it could create a reference
19647  * cycle. */
19648  if (self->exc_traceback) {
19649  PyTracebackObject *tb = (PyTracebackObject *) self->exc_traceback;
19650  PyFrameObject *f = tb->tb_frame;
19651  Py_CLEAR(f->f_back);
19652  }
19653 #endif
19654  } else {
19655  __Pyx_Generator_ExceptionClear(self);
19656  }
19657  return retval;
19658 }
19659 static CYTHON_INLINE
19660 PyObject *__Pyx_Generator_FinishDelegation(__pyx_GeneratorObject *gen) {
19661  PyObject *ret;
19662  PyObject *val = NULL;
19663  __Pyx_Generator_Undelegate(gen);
19664  __Pyx_PyGen_FetchStopIterationValue(&val);
19665  ret = __Pyx_Generator_SendEx(gen, val);
19666  Py_XDECREF(val);
19667  return ret;
19668 }
19669 static PyObject *__Pyx_Generator_Next(PyObject *self) {
19670  __pyx_GeneratorObject *gen = (__pyx_GeneratorObject*) self;
19671  PyObject *yf = gen->yieldfrom;
19672  if (unlikely(__Pyx_Generator_CheckRunning(gen)))
19673  return NULL;
19674  if (yf) {
19675  PyObject *ret;
19676  gen->is_running = 1;
19677  ret = Py_TYPE(yf)->tp_iternext(yf);
19678  gen->is_running = 0;
19679  if (likely(ret)) {
19680  return ret;
19681  }
19682  return __Pyx_Generator_FinishDelegation(gen);
19683  }
19684  return __Pyx_Generator_SendEx(gen, Py_None);
19685 }
19686 static PyObject *__Pyx_Generator_Send(PyObject *self, PyObject *value) {
19687  __pyx_GeneratorObject *gen = (__pyx_GeneratorObject*) self;
19688  PyObject *yf = gen->yieldfrom;
19689  if (unlikely(__Pyx_Generator_CheckRunning(gen)))
19690  return NULL;
19691  if (yf) {
19692  PyObject *ret;
19693  gen->is_running = 1;
19694  if (__Pyx_Generator_CheckExact(yf)) {
19695  ret = __Pyx_Generator_Send(yf, value);
19696  } else {
19697  if (value == Py_None)
19698  ret = PyIter_Next(yf);
19699  else
19700  ret = __Pyx_PyObject_CallMethod1(yf, __pyx_n_s__send, value);
19701  }
19702  gen->is_running = 0;
19703  if (likely(ret)) {
19704  return ret;
19705  }
19706  return __Pyx_Generator_FinishDelegation(gen);
19707  }
19708  return __Pyx_Generator_SendEx(gen, value);
19709 }
19710 static int __Pyx_Generator_CloseIter(__pyx_GeneratorObject *gen, PyObject *yf) {
19711  PyObject *retval = NULL;
19712  int err = 0;
19713  if (__Pyx_Generator_CheckExact(yf)) {
19714  retval = __Pyx_Generator_Close(yf);
19715  if (!retval)
19716  return -1;
19717  } else {
19718  PyObject *meth;
19719  gen->is_running = 1;
19720  meth = PyObject_GetAttr(yf, __pyx_n_s__close);
19721  if (unlikely(!meth)) {
19722  if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
19723  PyErr_WriteUnraisable(yf);
19724  }
19725  PyErr_Clear();
19726  } else {
19727  retval = PyObject_CallFunction(meth, NULL);
19728  Py_DECREF(meth);
19729  if (!retval)
19730  err = -1;
19731  }
19732  gen->is_running = 0;
19733  }
19734  Py_XDECREF(retval);
19735  return err;
19736 }
19737 static PyObject *__Pyx_Generator_Close(PyObject *self) {
19738  __pyx_GeneratorObject *gen = (__pyx_GeneratorObject *) self;
19739  PyObject *retval, *raised_exception;
19740  PyObject *yf = gen->yieldfrom;
19741  int err = 0;
19742  if (unlikely(__Pyx_Generator_CheckRunning(gen)))
19743  return NULL;
19744  if (yf) {
19745  Py_INCREF(yf);
19746  err = __Pyx_Generator_CloseIter(gen, yf);
19747  __Pyx_Generator_Undelegate(gen);
19748  Py_DECREF(yf);
19749  }
19750  if (err == 0)
19751 #if PY_VERSION_HEX < 0x02050000
19752  PyErr_SetNone(PyExc_StopIteration);
19753 #else
19754  PyErr_SetNone(PyExc_GeneratorExit);
19755 #endif
19756  retval = __Pyx_Generator_SendEx(gen, NULL);
19757  if (retval) {
19758  Py_DECREF(retval);
19759  PyErr_SetString(PyExc_RuntimeError,
19760  "generator ignored GeneratorExit");
19761  return NULL;
19762  }
19763  raised_exception = PyErr_Occurred();
19764  if (!raised_exception
19765  || raised_exception == PyExc_StopIteration
19766 #if PY_VERSION_HEX >= 0x02050000
19767  || raised_exception == PyExc_GeneratorExit
19768  || PyErr_GivenExceptionMatches(raised_exception, PyExc_GeneratorExit)
19769 #endif
19770  || PyErr_GivenExceptionMatches(raised_exception, PyExc_StopIteration))
19771  {
19772  if (raised_exception) PyErr_Clear(); /* ignore these errors */
19773  Py_INCREF(Py_None);
19774  return Py_None;
19775  }
19776  return NULL;
19777 }
19778 static PyObject *__Pyx_Generator_Throw(PyObject *self, PyObject *args) {
19779  __pyx_GeneratorObject *gen = (__pyx_GeneratorObject *) self;
19780  PyObject *typ;
19781  PyObject *tb = NULL;
19782  PyObject *val = NULL;
19783  PyObject *yf = gen->yieldfrom;
19784  if (!PyArg_UnpackTuple(args, (char *)"throw", 1, 3, &typ, &val, &tb))
19785  return NULL;
19786  if (unlikely(__Pyx_Generator_CheckRunning(gen)))
19787  return NULL;
19788  if (yf) {
19789  PyObject *ret;
19790  Py_INCREF(yf);
19791 #if PY_VERSION_HEX >= 0x02050000
19792  if (PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit)) {
19793  int err = __Pyx_Generator_CloseIter(gen, yf);
19794  Py_DECREF(yf);
19795  __Pyx_Generator_Undelegate(gen);
19796  if (err < 0)
19797  return __Pyx_Generator_SendEx(gen, NULL);
19798  goto throw_here;
19799  }
19800 #endif
19801  gen->is_running = 1;
19802  if (__Pyx_Generator_CheckExact(yf)) {
19803  ret = __Pyx_Generator_Throw(yf, args);
19804  } else {
19805  PyObject *meth = PyObject_GetAttr(yf, __pyx_n_s__throw);
19806  if (unlikely(!meth)) {
19807  Py_DECREF(yf);
19808  if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
19809  gen->is_running = 0;
19810  return NULL;
19811  }
19812  PyErr_Clear();
19813  __Pyx_Generator_Undelegate(gen);
19814  gen->is_running = 0;
19815  goto throw_here;
19816  }
19817  ret = PyObject_CallObject(meth, args);
19818  Py_DECREF(meth);
19819  }
19820  gen->is_running = 0;
19821  Py_DECREF(yf);
19822  if (!ret) {
19823  ret = __Pyx_Generator_FinishDelegation(gen);
19824  }
19825  return ret;
19826  }
19827 throw_here:
19828  __Pyx_Raise(typ, val, tb, NULL);
19829  return __Pyx_Generator_SendEx(gen, NULL);
19830 }
19831 static int __Pyx_Generator_traverse(PyObject *self, visitproc visit, void *arg) {
19832  __pyx_GeneratorObject *gen = (__pyx_GeneratorObject *) self;
19833  Py_VISIT(gen->closure);
19834  Py_VISIT(gen->classobj);
19835  Py_VISIT(gen->yieldfrom);
19836  Py_VISIT(gen->exc_type);
19837  Py_VISIT(gen->exc_value);
19838  Py_VISIT(gen->exc_traceback);
19839  return 0;
19840 }
19841 static int __Pyx_Generator_clear(PyObject *self) {
19842  __pyx_GeneratorObject *gen = (__pyx_GeneratorObject *) self;
19843  Py_CLEAR(gen->closure);
19844  Py_CLEAR(gen->classobj);
19845  Py_CLEAR(gen->yieldfrom);
19846  Py_CLEAR(gen->exc_type);
19847  Py_CLEAR(gen->exc_value);
19848  Py_CLEAR(gen->exc_traceback);
19849  return 0;
19850 }
19851 static void __Pyx_Generator_dealloc(PyObject *self) {
19852  __pyx_GeneratorObject *gen = (__pyx_GeneratorObject *) self;
19853  PyObject_GC_UnTrack(gen);
19854  if (gen->gi_weakreflist != NULL)
19855  PyObject_ClearWeakRefs(self);
19856  PyObject_GC_Track(self);
19857  if (gen->resume_label > 0) {
19858  Py_TYPE(gen)->tp_del(self);
19859  if (self->ob_refcnt > 0)
19860  return; /* resurrected. :( */
19861  }
19862  PyObject_GC_UnTrack(self);
19863  __Pyx_Generator_clear(self);
19864  PyObject_GC_Del(gen);
19865 }
19866 static void __Pyx_Generator_del(PyObject *self) {
19867  PyObject *res;
19868  PyObject *error_type, *error_value, *error_traceback;
19869  __pyx_GeneratorObject *gen = (__pyx_GeneratorObject *) self;
19870  if (gen->resume_label <= 0)
19871  return ;
19872  assert(self->ob_refcnt == 0);
19873  self->ob_refcnt = 1;
19874  __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
19875  res = __Pyx_Generator_Close(self);
19876  if (res == NULL)
19877  PyErr_WriteUnraisable(self);
19878  else
19879  Py_DECREF(res);
19880  __Pyx_ErrRestore(error_type, error_value, error_traceback);
19881  /* Undo the temporary resurrection; can't use DECREF here, it would
19882  * cause a recursive call.
19883  */
19884  assert(self->ob_refcnt > 0);
19885  if (--self->ob_refcnt == 0)
19886  return; /* this is the normal path out */
19887  /* close() resurrected it! Make it look like the original Py_DECREF
19888  * never happened.
19889  */
19890  {
19891  Py_ssize_t refcnt = self->ob_refcnt;
19892  _Py_NewReference(self);
19893  self->ob_refcnt = refcnt;
19894  }
19895 #if CYTHON_COMPILING_IN_CPYTHON
19896  assert(PyType_IS_GC(self->ob_type) &&
19897  _Py_AS_GC(self)->gc.gc_refs != _PyGC_REFS_UNTRACKED);
19898  /* If Py_REF_DEBUG, _Py_NewReference bumped _Py_RefTotal, so
19899  * we need to undo that. */
19900  _Py_DEC_REFTOTAL;
19901 #endif
19902  /* If Py_TRACE_REFS, _Py_NewReference re-added self to the object
19903  * chain, so no more to do there.
19904  * If COUNT_ALLOCS, the original decref bumped tp_frees, and
19905  * _Py_NewReference bumped tp_allocs: both of those need to be
19906  * undone.
19907  */
19908 #ifdef COUNT_ALLOCS
19909  --Py_TYPE(self)->tp_frees;
19910  --Py_TYPE(self)->tp_allocs;
19911 #endif
19912 }
19913 static PyMemberDef __pyx_Generator_memberlist[] = {
19914  {(char *) "gi_running",
19915 #if PY_VERSION_HEX >= 0x02060000
19916  T_BOOL,
19917 #else
19918  T_BYTE,
19919 #endif
19920  offsetof(__pyx_GeneratorObject, is_running),
19921  READONLY,
19922  NULL},
19923  {0, 0, 0, 0, 0}
19924 };
19925 static PyMethodDef __pyx_Generator_methods[] = {
19926  {__Pyx_NAMESTR("send"), (PyCFunction) __Pyx_Generator_Send, METH_O, 0},
19927  {__Pyx_NAMESTR("throw"), (PyCFunction) __Pyx_Generator_Throw, METH_VARARGS, 0},
19928  {__Pyx_NAMESTR("close"), (PyCFunction) __Pyx_Generator_Close, METH_NOARGS, 0},
19929  {0, 0, 0, 0}
19930 };
19931 static PyTypeObject __pyx_GeneratorType_type = {
19932  PyVarObject_HEAD_INIT(0, 0)
19933  __Pyx_NAMESTR("generator"), /*tp_name*/
19934  sizeof(__pyx_GeneratorObject), /*tp_basicsize*/
19935  0, /*tp_itemsize*/
19936  (destructor) __Pyx_Generator_dealloc,/*tp_dealloc*/
19937  0, /*tp_print*/
19938  0, /*tp_getattr*/
19939  0, /*tp_setattr*/
19940 #if PY_MAJOR_VERSION < 3
19941  0, /*tp_compare*/
19942 #else
19943  0, /*reserved*/
19944 #endif
19945  0, /*tp_repr*/
19946  0, /*tp_as_number*/
19947  0, /*tp_as_sequence*/
19948  0, /*tp_as_mapping*/
19949  0, /*tp_hash*/
19950  0, /*tp_call*/
19951  0, /*tp_str*/
19952  0, /*tp_getattro*/
19953  0, /*tp_setattro*/
19954  0, /*tp_as_buffer*/
19955  Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC, /* tp_flags*/
19956  0, /*tp_doc*/
19957  (traverseproc) __Pyx_Generator_traverse, /*tp_traverse*/
19958  0, /*tp_clear*/
19959  0, /*tp_richcompare*/
19960  offsetof(__pyx_GeneratorObject, gi_weakreflist), /* tp_weaklistoffse */
19961  0, /*tp_iter*/
19962  (iternextfunc) __Pyx_Generator_Next, /*tp_iternext*/
19963  __pyx_Generator_methods, /*tp_methods*/
19964  __pyx_Generator_memberlist, /*tp_members*/
19965  0, /*tp_getset*/
19966  0, /*tp_base*/
19967  0, /*tp_dict*/
19968  0, /*tp_descr_get*/
19969  0, /*tp_descr_set*/
19970  0, /*tp_dictoffset*/
19971  0, /*tp_init*/
19972  0, /*tp_alloc*/
19973  0, /*tp_new*/
19974  0, /*tp_free*/
19975  0, /*tp_is_gc*/
19976  0, /*tp_bases*/
19977  0, /*tp_mro*/
19978  0, /*tp_cache*/
19979  0, /*tp_subclasses*/
19980  0, /*tp_weaklist*/
19981  __Pyx_Generator_del, /*tp_del*/
19982 #if PY_VERSION_HEX >= 0x02060000
19983  0, /*tp_version_tag*/
19984 #endif
19985 };
19986 static __pyx_GeneratorObject *__Pyx_Generator_New(__pyx_generator_body_t body,
19987  PyObject *closure) {
19988  __pyx_GeneratorObject *gen =
19989  PyObject_GC_New(__pyx_GeneratorObject, &__pyx_GeneratorType_type);
19990  if (gen == NULL)
19991  return NULL;
19992  gen->body = body;
19993  gen->closure = closure;
19994  Py_XINCREF(closure);
19995  gen->is_running = 0;
19996  gen->resume_label = 0;
19997  gen->classobj = NULL;
19998  gen->yieldfrom = NULL;
19999  gen->exc_type = NULL;
20000  gen->exc_value = NULL;
20001  gen->exc_traceback = NULL;
20002  gen->gi_weakreflist = NULL;
20003  PyObject_GC_Track(gen);
20004  return gen;
20005 }
20006 static int __pyx_Generator_init(void) {
20007  __pyx_GeneratorType_type.tp_getattro = PyObject_GenericGetAttr;
20008  __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
20009  if (PyType_Ready(&__pyx_GeneratorType_type)) {
20010  return -1;
20011  }
20012  __pyx_GeneratorType = &__pyx_GeneratorType_type;
20013  return 0;
20014 }
20015 
20016 static int __Pyx_check_binary_version(void) {
20017  char ctversion[4], rtversion[4];
20018  PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
20019  PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
20020  if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
20021  char message[200];
20022  PyOS_snprintf(message, sizeof(message),
20023  "compiletime version %s of module '%.100s' "
20024  "does not match runtime version %s",
20025  ctversion, __Pyx_MODULE_NAME, rtversion);
20026  #if PY_VERSION_HEX < 0x02050000
20027  return PyErr_Warn(NULL, message);
20028  #else
20029  return PyErr_WarnEx(NULL, message, 1);
20030  #endif
20031  }
20032  return 0;
20033 }
20034 
20035 static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
20036  int start = 0, mid = 0, end = count - 1;
20037  if (end >= 0 && code_line > entries[end].code_line) {
20038  return count;
20039  }
20040  while (start < end) {
20041  mid = (start + end) / 2;
20042  if (code_line < entries[mid].code_line) {
20043  end = mid;
20044  } else if (code_line > entries[mid].code_line) {
20045  start = mid + 1;
20046  } else {
20047  return mid;
20048  }
20049  }
20050  if (code_line <= entries[mid].code_line) {
20051  return mid;
20052  } else {
20053  return mid + 1;
20054  }
20055 }
20056 static PyCodeObject *__pyx_find_code_object(int code_line) {
20057  PyCodeObject* code_object;
20058  int pos;
20059  if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
20060  return NULL;
20061  }
20062  pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
20063  if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
20064  return NULL;
20065  }
20066  code_object = __pyx_code_cache.entries[pos].code_object;
20067  Py_INCREF(code_object);
20068  return code_object;
20069 }
20070 static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
20071  int pos, i;
20072  __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
20073  if (unlikely(!code_line)) {
20074  return;
20075  }
20076  if (unlikely(!entries)) {
20077  entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
20078  if (likely(entries)) {
20079  __pyx_code_cache.entries = entries;
20080  __pyx_code_cache.max_count = 64;
20081  __pyx_code_cache.count = 1;
20082  entries[0].code_line = code_line;
20083  entries[0].code_object = code_object;
20084  Py_INCREF(code_object);
20085  }
20086  return;
20087  }
20088  pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
20089  if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
20090  PyCodeObject* tmp = entries[pos].code_object;
20091  entries[pos].code_object = code_object;
20092  Py_DECREF(tmp);
20093  return;
20094  }
20095  if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
20096  int new_max = __pyx_code_cache.max_count + 64;
20097  entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
20098  __pyx_code_cache.entries, new_max*sizeof(__Pyx_CodeObjectCacheEntry));
20099  if (unlikely(!entries)) {
20100  return;
20101  }
20102  __pyx_code_cache.entries = entries;
20103  __pyx_code_cache.max_count = new_max;
20104  }
20105  for (i=__pyx_code_cache.count; i>pos; i--) {
20106  entries[i] = entries[i-1];
20107  }
20108  entries[pos].code_line = code_line;
20109  entries[pos].code_object = code_object;
20110  __pyx_code_cache.count++;
20111  Py_INCREF(code_object);
20112 }
20113 
20114 #include "compile.h"
20115 #include "frameobject.h"
20116 #include "traceback.h"
20117 static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
20118  const char *funcname, int c_line,
20119  int py_line, const char *filename) {
20120  PyCodeObject *py_code = 0;
20121  PyObject *py_srcfile = 0;
20122  PyObject *py_funcname = 0;
20123  #if PY_MAJOR_VERSION < 3
20124  py_srcfile = PyString_FromString(filename);
20125  #else
20126  py_srcfile = PyUnicode_FromString(filename);
20127  #endif
20128  if (!py_srcfile) goto bad;
20129  if (c_line) {
20130  #if PY_MAJOR_VERSION < 3
20131  py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
20132  #else
20133  py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
20134  #endif
20135  }
20136  else {
20137  #if PY_MAJOR_VERSION < 3
20138  py_funcname = PyString_FromString(funcname);
20139  #else
20140  py_funcname = PyUnicode_FromString(funcname);
20141  #endif
20142  }
20143  if (!py_funcname) goto bad;
20144  py_code = __Pyx_PyCode_New(
20145  0, /*int argcount,*/
20146  0, /*int kwonlyargcount,*/
20147  0, /*int nlocals,*/
20148  0, /*int stacksize,*/
20149  0, /*int flags,*/
20150  __pyx_empty_bytes, /*PyObject *code,*/
20151  __pyx_empty_tuple, /*PyObject *consts,*/
20152  __pyx_empty_tuple, /*PyObject *names,*/
20153  __pyx_empty_tuple, /*PyObject *varnames,*/
20154  __pyx_empty_tuple, /*PyObject *freevars,*/
20155  __pyx_empty_tuple, /*PyObject *cellvars,*/
20156  py_srcfile, /*PyObject *filename,*/
20157  py_funcname, /*PyObject *name,*/
20158  py_line, /*int firstlineno,*/
20159  __pyx_empty_bytes /*PyObject *lnotab*/
20160  );
20161  Py_DECREF(py_srcfile);
20162  Py_DECREF(py_funcname);
20163  return py_code;
20164 bad:
20165  Py_XDECREF(py_srcfile);
20166  Py_XDECREF(py_funcname);
20167  return NULL;
20168 }
20169 static void __Pyx_AddTraceback(const char *funcname, int c_line,
20170  int py_line, const char *filename) {
20171  PyCodeObject *py_code = 0;
20172  PyObject *py_globals = 0;
20173  PyFrameObject *py_frame = 0;
20174  py_code = __pyx_find_code_object(c_line ? c_line : py_line);
20175  if (!py_code) {
20176  py_code = __Pyx_CreateCodeObjectForTraceback(
20177  funcname, c_line, py_line, filename);
20178  if (!py_code) goto bad;
20179  __pyx_insert_code_object(c_line ? c_line : py_line, py_code);
20180  }
20181  py_globals = PyModule_GetDict(__pyx_m);
20182  if (!py_globals) goto bad;
20183  py_frame = PyFrame_New(
20184  PyThreadState_GET(), /*PyThreadState *tstate,*/
20185  py_code, /*PyCodeObject *code,*/
20186  py_globals, /*PyObject *globals,*/
20187  0 /*PyObject *locals*/
20188  );
20189  if (!py_frame) goto bad;
20190  py_frame->f_lineno = py_line;
20191  PyTraceBack_Here(py_frame);
20192 bad:
20193  Py_XDECREF(py_code);
20194  Py_XDECREF(py_frame);
20195 }
20196 
20197 static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
20198  while (t->p) {
20199  #if PY_MAJOR_VERSION < 3
20200  if (t->is_unicode) {
20201  *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
20202  } else if (t->intern) {
20203  *t->p = PyString_InternFromString(t->s);
20204  } else {
20205  *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
20206  }
20207  #else /* Python 3+ has unicode identifiers */
20208  if (t->is_unicode | t->is_str) {
20209  if (t->intern) {
20210  *t->p = PyUnicode_InternFromString(t->s);
20211  } else if (t->encoding) {
20212  *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
20213  } else {
20214  *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
20215  }
20216  } else {
20217  *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
20218  }
20219  #endif
20220  if (!*t->p)
20221  return -1;
20222  ++t;
20223  }
20224  return 0;
20225 }
20226 
20227 static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(char* c_str) {
20228  return __Pyx_PyUnicode_FromStringAndSize(c_str, strlen(c_str));
20229 }
20230 static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
20231  Py_ssize_t ignore;
20232  return __Pyx_PyObject_AsStringAndSize(o, &ignore);
20233 }
20234 static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
20235 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
20236  if (
20237 #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
20238  __Pyx_sys_getdefaultencoding_not_ascii &&
20239 #endif
20240  PyUnicode_Check(o)) {
20241 #if PY_VERSION_HEX < 0x03030000
20242  char* defenc_c;
20243  PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
20244  if (!defenc) return NULL;
20245  defenc_c = PyBytes_AS_STRING(defenc);
20246 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
20247  {
20248  char* end = defenc_c + PyBytes_GET_SIZE(defenc);
20249  char* c;
20250  for (c = defenc_c; c < end; c++) {
20251  if ((unsigned char) (*c) >= 128) {
20252  PyUnicode_AsASCIIString(o);
20253  return NULL;
20254  }
20255  }
20256  }
20257 #endif /*__PYX_DEFAULT_STRING_ENCODING_IS_ASCII*/
20258  *length = PyBytes_GET_SIZE(defenc);
20259  return defenc_c;
20260 #else /* PY_VERSION_HEX < 0x03030000 */
20261  if (PyUnicode_READY(o) == -1) return NULL;
20262 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
20263  if (PyUnicode_IS_ASCII(o)) {
20264  *length = PyUnicode_GET_DATA_SIZE(o);
20265  return PyUnicode_AsUTF8(o);
20266  } else {
20267  PyUnicode_AsASCIIString(o);
20268  return NULL;
20269  }
20270 #else /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII */
20271  return PyUnicode_AsUTF8AndSize(o, length);
20272 #endif /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII */
20273 #endif /* PY_VERSION_HEX < 0x03030000 */
20274  } else
20275 #endif /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT */
20276  {
20277  char* result;
20278  int r = PyBytes_AsStringAndSize(o, &result, length);
20279  if (r < 0) {
20280  return NULL;
20281  } else {
20282  return result;
20283  }
20284  }
20285 }
20286 static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
20287  int is_true = x == Py_True;
20288  if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
20289  else return PyObject_IsTrue(x);
20290 }
20291 static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) {
20292  PyNumberMethods *m;
20293  const char *name = NULL;
20294  PyObject *res = NULL;
20295 #if PY_MAJOR_VERSION < 3
20296  if (PyInt_Check(x) || PyLong_Check(x))
20297 #else
20298  if (PyLong_Check(x))
20299 #endif
20300  return Py_INCREF(x), x;
20301  m = Py_TYPE(x)->tp_as_number;
20302 #if PY_MAJOR_VERSION < 3
20303  if (m && m->nb_int) {
20304  name = "int";
20305  res = PyNumber_Int(x);
20306  }
20307  else if (m && m->nb_long) {
20308  name = "long";
20309  res = PyNumber_Long(x);
20310  }
20311 #else
20312  if (m && m->nb_int) {
20313  name = "int";
20314  res = PyNumber_Long(x);
20315  }
20316 #endif
20317  if (res) {
20318 #if PY_MAJOR_VERSION < 3
20319  if (!PyInt_Check(res) && !PyLong_Check(res)) {
20320 #else
20321  if (!PyLong_Check(res)) {
20322 #endif
20323  PyErr_Format(PyExc_TypeError,
20324  "__%s__ returned non-%s (type %.200s)",
20325  name, name, Py_TYPE(res)->tp_name);
20326  Py_DECREF(res);
20327  return NULL;
20328  }
20329  }
20330  else if (!PyErr_Occurred()) {
20331  PyErr_SetString(PyExc_TypeError,
20332  "an integer is required");
20333  }
20334  return res;
20335 }
20336 static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
20337  Py_ssize_t ival;
20338  PyObject* x = PyNumber_Index(b);
20339  if (!x) return -1;
20340  ival = PyInt_AsSsize_t(x);
20341  Py_DECREF(x);
20342  return ival;
20343 }
20344 static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
20345 #if PY_VERSION_HEX < 0x02050000
20346  if (ival <= LONG_MAX)
20347  return PyInt_FromLong((long)ival);
20348  else {
20349  unsigned char *bytes = (unsigned char *) &ival;
20350  int one = 1; int little = (int)*(unsigned char*)&one;
20351  return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0);
20352  }
20353 #else
20354  return PyInt_FromSize_t(ival);
20355 #endif
20356 }
20357 static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject* x) {
20358  unsigned PY_LONG_LONG val = __Pyx_PyInt_AsUnsignedLongLong(x);
20359  if (unlikely(val != (unsigned PY_LONG_LONG)(size_t)val)) {
20360  if ((val != (unsigned PY_LONG_LONG)-1) || !PyErr_Occurred())
20361  PyErr_SetString(PyExc_OverflowError,
20362  "value too large to convert to size_t");
20363  return (size_t)-1;
20364  }
20365  return (size_t)val;
20366 }
20367 
20368 
20369 #endif /* Py_PYTHON_H */
glucat::compare
int compare(const index_set< LO, HI > &a, const index_set< LO, HI > &b)
&quot;lexicographic compare&quot; eg. {3,4,5} is less than {3,7,8}
Definition: index_set_imp.h:573
glucat::sqrt
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.
Definition: clifford_algebra_imp.h:589
clifford_to_str
String clifford_to_str(const Multivector_T &mv)
The &quot;informal&quot; string representation of Multivector_T mv.
Definition: PyClical.h:98
glucat::acosh
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.
Definition: clifford_algebra_imp.h:738
index_set_to_repr
String index_set_to_repr(const Index_Set_T &ist)
The “official” string representation of Index_Set_T ist.
Definition: PyClical.h:69
glucat::sinh
const Multivector< Scalar_T, LO, HI > sinh(const Multivector< Scalar_T, LO, HI > &val)
Hyperbolic sine of multivector.
Definition: clifford_algebra_imp.h:826
IndexSet
index_set< lo_ndx, hi_ndx > IndexSet
Definition: PyClical.h:157
glucat::abs
Scalar_T abs(const Multivector< Scalar_T, LO, HI > &val)
Absolute value == sqrt(norm)
Definition: clifford_algebra_imp.h:491
glucat::log
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.
Definition: clifford_algebra_imp.h:704
clifford_to_repr
String clifford_to_repr(const Multivector_T &mv)
The “official” string representation of Multivector_T mv.
Definition: PyClical.h:87
cga3::cga3
Multivector_T cga3(const Multivector_T &x)
Convert Euclidean 3D vector to Conformal Geometric Algebra null vector [DL (10.50)].
Definition: PyClical.h:115
glucat::sin
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.
Definition: clifford_algebra_imp.h:872
glucat::atanh
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.
Definition: clifford_algebra_imp.h:952
glucat::exp
const framed_multi< Scalar_T, LO, HI > exp(const framed_multi< Scalar_T, LO, HI > &val)
Exponential of multivector.
Definition: framed_multi_imp.h:1947
glucat::cos
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.
Definition: clifford_algebra_imp.h:765
glucat::tanh
const Multivector< Scalar_T, LO, HI > tanh(const Multivector< Scalar_T, LO, HI > &val)
Hyperbolic tangent of multivector.
Definition: clifford_algebra_imp.h:933
glucat::min_neg
index_t min_neg(const index_set< LO, HI > &ist)
Minimum negative index, or 0 if none.
Definition: index_set_imp.h:967
glucat::asin
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.
Definition: clifford_algebra_imp.h:905
Clifford
matrix_multi< scalar_t > Clifford
Definition: PyClical.h:160
glucat::complexifier
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.
Definition: clifford_algebra_imp.h:506
PyFloat_FromDouble
PyObject * PyFloat_FromDouble(Scalar_T v)
Definition: PyClical.h:59
glucat::atan
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.
Definition: clifford_algebra_imp.h:1005
scalar_t
double scalar_t
Definition: PyClical.h:159
glucat::tan
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.
Definition: clifford_algebra_imp.h:977
glucat::acos
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.
Definition: clifford_algebra_imp.h:798
index_set_to_str
String index_set_to_str(const Index_Set_T &ist)
The &quot;informal&quot; string representation of Index_Set_T ist.
Definition: PyClical.h:78
glucat::max_pos
index_t max_pos(const index_set< LO, HI > &ist)
Maximum positive index, or 0 if none.
Definition: index_set_imp.h:974
glucat::asinh
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.
Definition: clifford_algebra_imp.h:845
glucat::max_abs
Scalar_T max_abs(const Multivector< Scalar_T, LO, HI > &val)
Maximum of absolute values of components of multivector: multivector infinity norm.
Definition: clifford_algebra_imp.h:499
glucat::cosh
const Multivector< Scalar_T, LO, HI > cosh(const Multivector< Scalar_T, LO, HI > &val)
Hyperbolic cosine of multivector.
Definition: clifford_algebra_imp.h:720
cga3::cga3std
Multivector_T cga3std(const Multivector_T &X)
Convert CGA3 null vector to standard Conformal Geometric Algebra null vector [DL (10.52)].
Definition: PyClical.h:126
cga3::agc3
Multivector_T agc3(const Multivector_T &X)
Convert CGA3 null vector to Euclidean 3D vector [DL (10.50)].
Definition: PyClical.h:138
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