proteus  1.8.1
C/C++/Fortran libraries
canalyticalSolutions.c
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1 /* Generated by Cython 0.29.30 */
2 
3 #ifndef PY_SSIZE_T_CLEAN
4 #define PY_SSIZE_T_CLEAN
5 #endif /* PY_SSIZE_T_CLEAN */
6 #include "Python.h"
7 #ifndef Py_PYTHON_H
8  #error Python headers needed to compile C extensions, please install development version of Python.
9 #elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
10  #error Cython requires Python 2.6+ or Python 3.3+.
11 #else
12 #define CYTHON_ABI "0_29_30"
13 #define CYTHON_HEX_VERSION 0x001D1EF0
14 #define CYTHON_FUTURE_DIVISION 0
15 #include <stddef.h>
16 #ifndef offsetof
17  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
18 #endif
19 #if !defined(WIN32) && !defined(MS_WINDOWS)
20  #ifndef __stdcall
21  #define __stdcall
22  #endif
23  #ifndef __cdecl
24  #define __cdecl
25  #endif
26  #ifndef __fastcall
27  #define __fastcall
28  #endif
29 #endif
30 #ifndef DL_IMPORT
31  #define DL_IMPORT(t) t
32 #endif
33 #ifndef DL_EXPORT
34  #define DL_EXPORT(t) t
35 #endif
36 #define __PYX_COMMA ,
37 #ifndef HAVE_LONG_LONG
38  #if PY_VERSION_HEX >= 0x02070000
39  #define HAVE_LONG_LONG
40  #endif
41 #endif
42 #ifndef PY_LONG_LONG
43  #define PY_LONG_LONG LONG_LONG
44 #endif
45 #ifndef Py_HUGE_VAL
46  #define Py_HUGE_VAL HUGE_VAL
47 #endif
48 #ifdef PYPY_VERSION
49  #define CYTHON_COMPILING_IN_PYPY 1
50  #define CYTHON_COMPILING_IN_PYSTON 0
51  #define CYTHON_COMPILING_IN_CPYTHON 0
52  #undef CYTHON_USE_TYPE_SLOTS
53  #define CYTHON_USE_TYPE_SLOTS 0
54  #undef CYTHON_USE_PYTYPE_LOOKUP
55  #define CYTHON_USE_PYTYPE_LOOKUP 0
56  #if PY_VERSION_HEX < 0x03050000
57  #undef CYTHON_USE_ASYNC_SLOTS
58  #define CYTHON_USE_ASYNC_SLOTS 0
59  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
60  #define CYTHON_USE_ASYNC_SLOTS 1
61  #endif
62  #undef CYTHON_USE_PYLIST_INTERNALS
63  #define CYTHON_USE_PYLIST_INTERNALS 0
64  #undef CYTHON_USE_UNICODE_INTERNALS
65  #define CYTHON_USE_UNICODE_INTERNALS 0
66  #undef CYTHON_USE_UNICODE_WRITER
67  #define CYTHON_USE_UNICODE_WRITER 0
68  #undef CYTHON_USE_PYLONG_INTERNALS
69  #define CYTHON_USE_PYLONG_INTERNALS 0
70  #undef CYTHON_AVOID_BORROWED_REFS
71  #define CYTHON_AVOID_BORROWED_REFS 1
72  #undef CYTHON_ASSUME_SAFE_MACROS
73  #define CYTHON_ASSUME_SAFE_MACROS 0
74  #undef CYTHON_UNPACK_METHODS
75  #define CYTHON_UNPACK_METHODS 0
76  #undef CYTHON_FAST_THREAD_STATE
77  #define CYTHON_FAST_THREAD_STATE 0
78  #undef CYTHON_FAST_PYCALL
79  #define CYTHON_FAST_PYCALL 0
80  #undef CYTHON_PEP489_MULTI_PHASE_INIT
81  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
82  #undef CYTHON_USE_TP_FINALIZE
83  #define CYTHON_USE_TP_FINALIZE 0
84  #undef CYTHON_USE_DICT_VERSIONS
85  #define CYTHON_USE_DICT_VERSIONS 0
86  #undef CYTHON_USE_EXC_INFO_STACK
87  #define CYTHON_USE_EXC_INFO_STACK 0
88  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
89  #define CYTHON_UPDATE_DESCRIPTOR_DOC (PYPY_VERSION_HEX >= 0x07030900)
90  #endif
91 #elif defined(PYSTON_VERSION)
92  #define CYTHON_COMPILING_IN_PYPY 0
93  #define CYTHON_COMPILING_IN_PYSTON 1
94  #define CYTHON_COMPILING_IN_CPYTHON 0
95  #ifndef CYTHON_USE_TYPE_SLOTS
96  #define CYTHON_USE_TYPE_SLOTS 1
97  #endif
98  #undef CYTHON_USE_PYTYPE_LOOKUP
99  #define CYTHON_USE_PYTYPE_LOOKUP 0
100  #undef CYTHON_USE_ASYNC_SLOTS
101  #define CYTHON_USE_ASYNC_SLOTS 0
102  #undef CYTHON_USE_PYLIST_INTERNALS
103  #define CYTHON_USE_PYLIST_INTERNALS 0
104  #ifndef CYTHON_USE_UNICODE_INTERNALS
105  #define CYTHON_USE_UNICODE_INTERNALS 1
106  #endif
107  #undef CYTHON_USE_UNICODE_WRITER
108  #define CYTHON_USE_UNICODE_WRITER 0
109  #undef CYTHON_USE_PYLONG_INTERNALS
110  #define CYTHON_USE_PYLONG_INTERNALS 0
111  #ifndef CYTHON_AVOID_BORROWED_REFS
112  #define CYTHON_AVOID_BORROWED_REFS 0
113  #endif
114  #ifndef CYTHON_ASSUME_SAFE_MACROS
115  #define CYTHON_ASSUME_SAFE_MACROS 1
116  #endif
117  #ifndef CYTHON_UNPACK_METHODS
118  #define CYTHON_UNPACK_METHODS 1
119  #endif
120  #undef CYTHON_FAST_THREAD_STATE
121  #define CYTHON_FAST_THREAD_STATE 0
122  #undef CYTHON_FAST_PYCALL
123  #define CYTHON_FAST_PYCALL 0
124  #undef CYTHON_PEP489_MULTI_PHASE_INIT
125  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
126  #undef CYTHON_USE_TP_FINALIZE
127  #define CYTHON_USE_TP_FINALIZE 0
128  #undef CYTHON_USE_DICT_VERSIONS
129  #define CYTHON_USE_DICT_VERSIONS 0
130  #undef CYTHON_USE_EXC_INFO_STACK
131  #define CYTHON_USE_EXC_INFO_STACK 0
132  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
133  #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
134  #endif
135 #else
136  #define CYTHON_COMPILING_IN_PYPY 0
137  #define CYTHON_COMPILING_IN_PYSTON 0
138  #define CYTHON_COMPILING_IN_CPYTHON 1
139  #ifndef CYTHON_USE_TYPE_SLOTS
140  #define CYTHON_USE_TYPE_SLOTS 1
141  #endif
142  #if PY_VERSION_HEX < 0x02070000
143  #undef CYTHON_USE_PYTYPE_LOOKUP
144  #define CYTHON_USE_PYTYPE_LOOKUP 0
145  #elif !defined(CYTHON_USE_PYTYPE_LOOKUP)
146  #define CYTHON_USE_PYTYPE_LOOKUP 1
147  #endif
148  #if PY_MAJOR_VERSION < 3
149  #undef CYTHON_USE_ASYNC_SLOTS
150  #define CYTHON_USE_ASYNC_SLOTS 0
151  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
152  #define CYTHON_USE_ASYNC_SLOTS 1
153  #endif
154  #if PY_VERSION_HEX < 0x02070000
155  #undef CYTHON_USE_PYLONG_INTERNALS
156  #define CYTHON_USE_PYLONG_INTERNALS 0
157  #elif !defined(CYTHON_USE_PYLONG_INTERNALS)
158  #define CYTHON_USE_PYLONG_INTERNALS 1
159  #endif
160  #ifndef CYTHON_USE_PYLIST_INTERNALS
161  #define CYTHON_USE_PYLIST_INTERNALS 1
162  #endif
163  #ifndef CYTHON_USE_UNICODE_INTERNALS
164  #define CYTHON_USE_UNICODE_INTERNALS 1
165  #endif
166  #if PY_VERSION_HEX < 0x030300F0 || PY_VERSION_HEX >= 0x030B00A2
167  #undef CYTHON_USE_UNICODE_WRITER
168  #define CYTHON_USE_UNICODE_WRITER 0
169  #elif !defined(CYTHON_USE_UNICODE_WRITER)
170  #define CYTHON_USE_UNICODE_WRITER 1
171  #endif
172  #ifndef CYTHON_AVOID_BORROWED_REFS
173  #define CYTHON_AVOID_BORROWED_REFS 0
174  #endif
175  #ifndef CYTHON_ASSUME_SAFE_MACROS
176  #define CYTHON_ASSUME_SAFE_MACROS 1
177  #endif
178  #ifndef CYTHON_UNPACK_METHODS
179  #define CYTHON_UNPACK_METHODS 1
180  #endif
181  #if PY_VERSION_HEX >= 0x030B00A4
182  #undef CYTHON_FAST_THREAD_STATE
183  #define CYTHON_FAST_THREAD_STATE 0
184  #elif !defined(CYTHON_FAST_THREAD_STATE)
185  #define CYTHON_FAST_THREAD_STATE 1
186  #endif
187  #ifndef CYTHON_FAST_PYCALL
188  #define CYTHON_FAST_PYCALL (PY_VERSION_HEX < 0x030A0000)
189  #endif
190  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
191  #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000)
192  #endif
193  #ifndef CYTHON_USE_TP_FINALIZE
194  #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
195  #endif
196  #ifndef CYTHON_USE_DICT_VERSIONS
197  #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1)
198  #endif
199  #if PY_VERSION_HEX >= 0x030B00A4
200  #undef CYTHON_USE_EXC_INFO_STACK
201  #define CYTHON_USE_EXC_INFO_STACK 0
202  #elif !defined(CYTHON_USE_EXC_INFO_STACK)
203  #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
204  #endif
205  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
206  #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
207  #endif
208 #endif
209 #if !defined(CYTHON_FAST_PYCCALL)
210 #define CYTHON_FAST_PYCCALL (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
211 #endif
212 #if CYTHON_USE_PYLONG_INTERNALS
213  #if PY_MAJOR_VERSION < 3
214  #include "longintrepr.h"
215  #endif
216  #undef SHIFT
217  #undef BASE
218  #undef MASK
219  #ifdef SIZEOF_VOID_P
220  enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
221  #endif
222 #endif
223 #ifndef __has_attribute
224  #define __has_attribute(x) 0
225 #endif
226 #ifndef __has_cpp_attribute
227  #define __has_cpp_attribute(x) 0
228 #endif
229 #ifndef CYTHON_RESTRICT
230  #if defined(__GNUC__)
231  #define CYTHON_RESTRICT __restrict__
232  #elif defined(_MSC_VER) && _MSC_VER >= 1400
233  #define CYTHON_RESTRICT __restrict
234  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
235  #define CYTHON_RESTRICT restrict
236  #else
237  #define CYTHON_RESTRICT
238  #endif
239 #endif
240 #ifndef CYTHON_UNUSED
241 # if defined(__GNUC__)
242 # if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
243 # define CYTHON_UNUSED __attribute__ ((__unused__))
244 # else
245 # define CYTHON_UNUSED
246 # endif
247 # elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
248 # define CYTHON_UNUSED __attribute__ ((__unused__))
249 # else
250 # define CYTHON_UNUSED
251 # endif
252 #endif
253 #ifndef CYTHON_MAYBE_UNUSED_VAR
254 # if defined(__cplusplus)
255  template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
256 # else
257 # define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
258 # endif
259 #endif
260 #ifndef CYTHON_NCP_UNUSED
261 # if CYTHON_COMPILING_IN_CPYTHON
262 # define CYTHON_NCP_UNUSED
263 # else
264 # define CYTHON_NCP_UNUSED CYTHON_UNUSED
265 # endif
266 #endif
267 #define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
268 #ifdef _MSC_VER
269  #ifndef _MSC_STDINT_H_
270  #if _MSC_VER < 1300
271  typedef unsigned char uint8_t;
272  typedef unsigned int uint32_t;
273  #else
274  typedef unsigned __int8 uint8_t;
275  typedef unsigned __int32 uint32_t;
276  #endif
277  #endif
278 #else
279  #include <stdint.h>
280 #endif
281 #ifndef CYTHON_FALLTHROUGH
282  #if defined(__cplusplus) && __cplusplus >= 201103L
283  #if __has_cpp_attribute(fallthrough)
284  #define CYTHON_FALLTHROUGH [[fallthrough]]
285  #elif __has_cpp_attribute(clang::fallthrough)
286  #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
287  #elif __has_cpp_attribute(gnu::fallthrough)
288  #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
289  #endif
290  #endif
291  #ifndef CYTHON_FALLTHROUGH
292  #if __has_attribute(fallthrough)
293  #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
294  #else
295  #define CYTHON_FALLTHROUGH
296  #endif
297  #endif
298  #if defined(__clang__ ) && defined(__apple_build_version__)
299  #if __apple_build_version__ < 7000000
300  #undef CYTHON_FALLTHROUGH
301  #define CYTHON_FALLTHROUGH
302  #endif
303  #endif
304 #endif
305 
306 #ifndef CYTHON_INLINE
307  #if defined(__clang__)
308  #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
309  #elif defined(__GNUC__)
310  #define CYTHON_INLINE __inline__
311  #elif defined(_MSC_VER)
312  #define CYTHON_INLINE __inline
313  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
314  #define CYTHON_INLINE inline
315  #else
316  #define CYTHON_INLINE
317  #endif
318 #endif
319 
320 #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
321  #define Py_OptimizeFlag 0
322 #endif
323 #define __PYX_BUILD_PY_SSIZE_T "n"
324 #define CYTHON_FORMAT_SSIZE_T "z"
325 #if PY_MAJOR_VERSION < 3
326  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
327  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
328  PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
329  #define __Pyx_DefaultClassType PyClass_Type
330 #else
331  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
332  #define __Pyx_DefaultClassType PyType_Type
333 #if PY_VERSION_HEX >= 0x030B00A1
334  static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int k, int l, int s, int f,
335  PyObject *code, PyObject *c, PyObject* n, PyObject *v,
336  PyObject *fv, PyObject *cell, PyObject* fn,
337  PyObject *name, int fline, PyObject *lnos) {
338  PyObject *kwds=NULL, *argcount=NULL, *posonlyargcount=NULL, *kwonlyargcount=NULL;
339  PyObject *nlocals=NULL, *stacksize=NULL, *flags=NULL, *replace=NULL, *call_result=NULL, *empty=NULL;
340  const char *fn_cstr=NULL;
341  const char *name_cstr=NULL;
342  PyCodeObject* co=NULL;
343  PyObject *type, *value, *traceback;
344  PyErr_Fetch(&type, &value, &traceback);
345  if (!(kwds=PyDict_New())) goto end;
346  if (!(argcount=PyLong_FromLong(a))) goto end;
347  if (PyDict_SetItemString(kwds, "co_argcount", argcount) != 0) goto end;
348  if (!(posonlyargcount=PyLong_FromLong(0))) goto end;
349  if (PyDict_SetItemString(kwds, "co_posonlyargcount", posonlyargcount) != 0) goto end;
350  if (!(kwonlyargcount=PyLong_FromLong(k))) goto end;
351  if (PyDict_SetItemString(kwds, "co_kwonlyargcount", kwonlyargcount) != 0) goto end;
352  if (!(nlocals=PyLong_FromLong(l))) goto end;
353  if (PyDict_SetItemString(kwds, "co_nlocals", nlocals) != 0) goto end;
354  if (!(stacksize=PyLong_FromLong(s))) goto end;
355  if (PyDict_SetItemString(kwds, "co_stacksize", stacksize) != 0) goto end;
356  if (!(flags=PyLong_FromLong(f))) goto end;
357  if (PyDict_SetItemString(kwds, "co_flags", flags) != 0) goto end;
358  if (PyDict_SetItemString(kwds, "co_code", code) != 0) goto end;
359  if (PyDict_SetItemString(kwds, "co_consts", c) != 0) goto end;
360  if (PyDict_SetItemString(kwds, "co_names", n) != 0) goto end;
361  if (PyDict_SetItemString(kwds, "co_varnames", v) != 0) goto end;
362  if (PyDict_SetItemString(kwds, "co_freevars", fv) != 0) goto end;
363  if (PyDict_SetItemString(kwds, "co_cellvars", cell) != 0) goto end;
364  if (PyDict_SetItemString(kwds, "co_linetable", lnos) != 0) goto end;
365  if (!(fn_cstr=PyUnicode_AsUTF8AndSize(fn, NULL))) goto end;
366  if (!(name_cstr=PyUnicode_AsUTF8AndSize(name, NULL))) goto end;
367  if (!(co = PyCode_NewEmpty(fn_cstr, name_cstr, fline))) goto end;
368  if (!(replace = PyObject_GetAttrString((PyObject*)co, "replace"))) goto cleanup_code_too;
369  if (!(empty = PyTuple_New(0))) goto cleanup_code_too; // unfortunately __pyx_empty_tuple isn't available here
370  if (!(call_result = PyObject_Call(replace, empty, kwds))) goto cleanup_code_too;
371  Py_XDECREF((PyObject*)co);
372  co = (PyCodeObject*)call_result;
373  call_result = NULL;
374  if (0) {
375  cleanup_code_too:
376  Py_XDECREF((PyObject*)co);
377  co = NULL;
378  }
379  end:
380  Py_XDECREF(kwds);
381  Py_XDECREF(argcount);
382  Py_XDECREF(posonlyargcount);
383  Py_XDECREF(kwonlyargcount);
384  Py_XDECREF(nlocals);
385  Py_XDECREF(stacksize);
386  Py_XDECREF(replace);
387  Py_XDECREF(call_result);
388  Py_XDECREF(empty);
389  if (type) {
390  PyErr_Restore(type, value, traceback);
391  }
392  return co;
393  }
394 #else
395  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
396  PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
397 #endif
398  #define __Pyx_DefaultClassType PyType_Type
399 #endif
400 #ifndef Py_TPFLAGS_CHECKTYPES
401  #define Py_TPFLAGS_CHECKTYPES 0
402 #endif
403 #ifndef Py_TPFLAGS_HAVE_INDEX
404  #define Py_TPFLAGS_HAVE_INDEX 0
405 #endif
406 #ifndef Py_TPFLAGS_HAVE_NEWBUFFER
407  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
408 #endif
409 #ifndef Py_TPFLAGS_HAVE_FINALIZE
410  #define Py_TPFLAGS_HAVE_FINALIZE 0
411 #endif
412 #ifndef METH_STACKLESS
413  #define METH_STACKLESS 0
414 #endif
415 #if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
416  #ifndef METH_FASTCALL
417  #define METH_FASTCALL 0x80
418  #endif
419  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
420  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
421  Py_ssize_t nargs, PyObject *kwnames);
422 #else
423  #define __Pyx_PyCFunctionFast _PyCFunctionFast
424  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
425 #endif
426 #if CYTHON_FAST_PYCCALL
427 #define __Pyx_PyFastCFunction_Check(func)\
428  ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)))))
429 #else
430 #define __Pyx_PyFastCFunction_Check(func) 0
431 #endif
432 #if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
433  #define PyObject_Malloc(s) PyMem_Malloc(s)
434  #define PyObject_Free(p) PyMem_Free(p)
435  #define PyObject_Realloc(p) PyMem_Realloc(p)
436 #endif
437 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1
438  #define PyMem_RawMalloc(n) PyMem_Malloc(n)
439  #define PyMem_RawRealloc(p, n) PyMem_Realloc(p, n)
440  #define PyMem_RawFree(p) PyMem_Free(p)
441 #endif
442 #if CYTHON_COMPILING_IN_PYSTON
443  #define __Pyx_PyCode_HasFreeVars(co) PyCode_HasFreeVars(co)
444  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
445 #else
446  #define __Pyx_PyCode_HasFreeVars(co) (PyCode_GetNumFree(co) > 0)
447  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) (frame)->f_lineno = (lineno)
448 #endif
449 #if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
450  #define __Pyx_PyThreadState_Current PyThreadState_GET()
451 #elif PY_VERSION_HEX >= 0x03060000
452  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
453 #elif PY_VERSION_HEX >= 0x03000000
454  #define __Pyx_PyThreadState_Current PyThreadState_GET()
455 #else
456  #define __Pyx_PyThreadState_Current _PyThreadState_Current
457 #endif
458 #if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
459 #include "pythread.h"
460 #define Py_tss_NEEDS_INIT 0
461 typedef int Py_tss_t;
462 static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
463  *key = PyThread_create_key();
464  return 0;
465 }
466 static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
467  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
468  *key = Py_tss_NEEDS_INIT;
469  return key;
470 }
471 static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
472  PyObject_Free(key);
473 }
474 static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
475  return *key != Py_tss_NEEDS_INIT;
476 }
477 static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
478  PyThread_delete_key(*key);
479  *key = Py_tss_NEEDS_INIT;
480 }
481 static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
482  return PyThread_set_key_value(*key, value);
483 }
484 static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
485  return PyThread_get_key_value(*key);
486 }
487 #endif
488 #if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
489 #define __Pyx_PyDict_NewPresized(n) ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
490 #else
491 #define __Pyx_PyDict_NewPresized(n) PyDict_New()
492 #endif
493 #if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
494  #define __Pyx_PyNumber_Divide(x,y) PyNumber_TrueDivide(x,y)
495  #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceTrueDivide(x,y)
496 #else
497  #define __Pyx_PyNumber_Divide(x,y) PyNumber_Divide(x,y)
498  #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceDivide(x,y)
499 #endif
500 #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
501 #define __Pyx_PyDict_GetItemStr(dict, name) _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
502 #else
503 #define __Pyx_PyDict_GetItemStr(dict, name) PyDict_GetItem(dict, name)
504 #endif
505 #if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
506  #define CYTHON_PEP393_ENABLED 1
507  #if defined(PyUnicode_IS_READY)
508  #define __Pyx_PyUnicode_READY(op) (likely(PyUnicode_IS_READY(op)) ?\
509  0 : _PyUnicode_Ready((PyObject *)(op)))
510  #else
511  #define __Pyx_PyUnicode_READY(op) (0)
512  #endif
513  #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_LENGTH(u)
514  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
515  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u) PyUnicode_MAX_CHAR_VALUE(u)
516  #define __Pyx_PyUnicode_KIND(u) PyUnicode_KIND(u)
517  #define __Pyx_PyUnicode_DATA(u) PyUnicode_DATA(u)
518  #define __Pyx_PyUnicode_READ(k, d, i) PyUnicode_READ(k, d, i)
519  #define __Pyx_PyUnicode_WRITE(k, d, i, ch) PyUnicode_WRITE(k, d, i, ch)
520  #if defined(PyUnicode_IS_READY) && defined(PyUnicode_GET_SIZE)
521  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
522  #define __Pyx_PyUnicode_IS_TRUE(u) (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
523  #else
524  #define __Pyx_PyUnicode_IS_TRUE(u) (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
525  #endif
526  #else
527  #define __Pyx_PyUnicode_IS_TRUE(u) (0 != PyUnicode_GET_LENGTH(u))
528  #endif
529 #else
530  #define CYTHON_PEP393_ENABLED 0
531  #define PyUnicode_1BYTE_KIND 1
532  #define PyUnicode_2BYTE_KIND 2
533  #define PyUnicode_4BYTE_KIND 4
534  #define __Pyx_PyUnicode_READY(op) (0)
535  #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_SIZE(u)
536  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
537  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u) ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
538  #define __Pyx_PyUnicode_KIND(u) (sizeof(Py_UNICODE))
539  #define __Pyx_PyUnicode_DATA(u) ((void*)PyUnicode_AS_UNICODE(u))
540  #define __Pyx_PyUnicode_READ(k, d, i) ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
541  #define __Pyx_PyUnicode_WRITE(k, d, i, ch) (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
542  #define __Pyx_PyUnicode_IS_TRUE(u) (0 != PyUnicode_GET_SIZE(u))
543 #endif
544 #if CYTHON_COMPILING_IN_PYPY
545  #define __Pyx_PyUnicode_Concat(a, b) PyNumber_Add(a, b)
546  #define __Pyx_PyUnicode_ConcatSafe(a, b) PyNumber_Add(a, b)
547 #else
548  #define __Pyx_PyUnicode_Concat(a, b) PyUnicode_Concat(a, b)
549  #define __Pyx_PyUnicode_ConcatSafe(a, b) ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
550  PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
551 #endif
552 #if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
553  #define PyUnicode_Contains(u, s) PySequence_Contains(u, s)
554 #endif
555 #if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
556  #define PyByteArray_Check(obj) PyObject_TypeCheck(obj, &PyByteArray_Type)
557 #endif
558 #if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
559  #define PyObject_Format(obj, fmt) PyObject_CallMethod(obj, "__format__", "O", fmt)
560 #endif
561 #define __Pyx_PyString_FormatSafe(a, b) ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
562 #define __Pyx_PyUnicode_FormatSafe(a, b) ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
563 #if PY_MAJOR_VERSION >= 3
564  #define __Pyx_PyString_Format(a, b) PyUnicode_Format(a, b)
565 #else
566  #define __Pyx_PyString_Format(a, b) PyString_Format(a, b)
567 #endif
568 #if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
569  #define PyObject_ASCII(o) PyObject_Repr(o)
570 #endif
571 #if PY_MAJOR_VERSION >= 3
572  #define PyBaseString_Type PyUnicode_Type
573  #define PyStringObject PyUnicodeObject
574  #define PyString_Type PyUnicode_Type
575  #define PyString_Check PyUnicode_Check
576  #define PyString_CheckExact PyUnicode_CheckExact
577 #ifndef PyObject_Unicode
578  #define PyObject_Unicode PyObject_Str
579 #endif
580 #endif
581 #if PY_MAJOR_VERSION >= 3
582  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
583  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
584 #else
585  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
586  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
587 #endif
588 #ifndef PySet_CheckExact
589  #define PySet_CheckExact(obj) (Py_TYPE(obj) == &PySet_Type)
590 #endif
591 #if PY_VERSION_HEX >= 0x030900A4
592  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
593  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
594 #else
595  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
596  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
597 #endif
598 #if CYTHON_ASSUME_SAFE_MACROS
599  #define __Pyx_PySequence_SIZE(seq) Py_SIZE(seq)
600 #else
601  #define __Pyx_PySequence_SIZE(seq) PySequence_Size(seq)
602 #endif
603 #if PY_MAJOR_VERSION >= 3
604  #define PyIntObject PyLongObject
605  #define PyInt_Type PyLong_Type
606  #define PyInt_Check(op) PyLong_Check(op)
607  #define PyInt_CheckExact(op) PyLong_CheckExact(op)
608  #define PyInt_FromString PyLong_FromString
609  #define PyInt_FromUnicode PyLong_FromUnicode
610  #define PyInt_FromLong PyLong_FromLong
611  #define PyInt_FromSize_t PyLong_FromSize_t
612  #define PyInt_FromSsize_t PyLong_FromSsize_t
613  #define PyInt_AsLong PyLong_AsLong
614  #define PyInt_AS_LONG PyLong_AS_LONG
615  #define PyInt_AsSsize_t PyLong_AsSsize_t
616  #define PyInt_AsUnsignedLongMask PyLong_AsUnsignedLongMask
617  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
618  #define PyNumber_Int PyNumber_Long
619 #endif
620 #if PY_MAJOR_VERSION >= 3
621  #define PyBoolObject PyLongObject
622 #endif
623 #if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
624  #ifndef PyUnicode_InternFromString
625  #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
626  #endif
627 #endif
628 #if PY_VERSION_HEX < 0x030200A4
629  typedef long Py_hash_t;
630  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
631  #define __Pyx_PyInt_AsHash_t __Pyx_PyIndex_AsHash_t
632 #else
633  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
634  #define __Pyx_PyInt_AsHash_t __Pyx_PyIndex_AsSsize_t
635 #endif
636 #if PY_MAJOR_VERSION >= 3
637  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
638 #else
639  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
640 #endif
641 #if CYTHON_USE_ASYNC_SLOTS
642  #if PY_VERSION_HEX >= 0x030500B1
643  #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
644  #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
645  #else
646  #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
647  #endif
648 #else
649  #define __Pyx_PyType_AsAsync(obj) NULL
650 #endif
651 #ifndef __Pyx_PyAsyncMethodsStruct
652  typedef struct {
653  unaryfunc am_await;
654  unaryfunc am_aiter;
655  unaryfunc am_anext;
656  } __Pyx_PyAsyncMethodsStruct;
657 #endif
658 
659 #if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
660  #if !defined(_USE_MATH_DEFINES)
661  #define _USE_MATH_DEFINES
662  #endif
663 #endif
664 #include <math.h>
665 #ifdef NAN
666 #define __PYX_NAN() ((float) NAN)
667 #else
668 static CYTHON_INLINE float __PYX_NAN() {
669  float value;
670  memset(&value, 0xFF, sizeof(value));
671  return value;
672 }
673 #endif
674 #if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
675 #define __Pyx_truncl trunc
676 #else
677 #define __Pyx_truncl truncl
678 #endif
679 
680 #define __PYX_MARK_ERR_POS(f_index, lineno) \
681  { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
682 #define __PYX_ERR(f_index, lineno, Ln_error) \
683  { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }
684 
685 #ifndef __PYX_EXTERN_C
686  #ifdef __cplusplus
687  #define __PYX_EXTERN_C extern "C"
688  #else
689  #define __PYX_EXTERN_C extern
690  #endif
691 #endif
692 
693 #define __PYX_HAVE__canalyticalSolutions
694 #define __PYX_HAVE_API__canalyticalSolutions
695 /* Early includes */
696 #include <string.h>
697 #include <stdio.h>
698 #include "numpy/arrayobject.h"
699 #include "numpy/ndarrayobject.h"
700 #include "numpy/ndarraytypes.h"
701 #include "numpy/arrayscalars.h"
702 #include "numpy/ufuncobject.h"
703 
704  /* NumPy API declarations from "numpy/__init__.pxd" */
705 
706 #include "analyticalSolutions.h"
707 #ifdef _OPENMP
708 #include <omp.h>
709 #endif /* _OPENMP */
710 
711 #if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
712 #define CYTHON_WITHOUT_ASSERTIONS
713 #endif
714 
715 typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
716  const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;
717 
718 #define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
719 #define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
720 #define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
721 #define __PYX_DEFAULT_STRING_ENCODING ""
722 #define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
723 #define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
724 #define __Pyx_uchar_cast(c) ((unsigned char)c)
725 #define __Pyx_long_cast(x) ((long)x)
726 #define __Pyx_fits_Py_ssize_t(v, type, is_signed) (\
727  (sizeof(type) < sizeof(Py_ssize_t)) ||\
728  (sizeof(type) > sizeof(Py_ssize_t) &&\
729  likely(v < (type)PY_SSIZE_T_MAX ||\
730  v == (type)PY_SSIZE_T_MAX) &&\
731  (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
732  v == (type)PY_SSIZE_T_MIN))) ||\
733  (sizeof(type) == sizeof(Py_ssize_t) &&\
734  (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
735  v == (type)PY_SSIZE_T_MAX))) )
736 static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
737  return (size_t) i < (size_t) limit;
738 }
739 #if defined (__cplusplus) && __cplusplus >= 201103L
740  #include <cstdlib>
741  #define __Pyx_sst_abs(value) std::abs(value)
742 #elif SIZEOF_INT >= SIZEOF_SIZE_T
743  #define __Pyx_sst_abs(value) abs(value)
744 #elif SIZEOF_LONG >= SIZEOF_SIZE_T
745  #define __Pyx_sst_abs(value) labs(value)
746 #elif defined (_MSC_VER)
747  #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
748 #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
749  #define __Pyx_sst_abs(value) llabs(value)
750 #elif defined (__GNUC__)
751  #define __Pyx_sst_abs(value) __builtin_llabs(value)
752 #else
753  #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
754 #endif
755 static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
756 static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
757 #define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
758 #define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
759 #define __Pyx_PyBytes_FromString PyBytes_FromString
760 #define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
761 static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
762 #if PY_MAJOR_VERSION < 3
763  #define __Pyx_PyStr_FromString __Pyx_PyBytes_FromString
764  #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
765 #else
766  #define __Pyx_PyStr_FromString __Pyx_PyUnicode_FromString
767  #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
768 #endif
769 #define __Pyx_PyBytes_AsWritableString(s) ((char*) PyBytes_AS_STRING(s))
770 #define __Pyx_PyBytes_AsWritableSString(s) ((signed char*) PyBytes_AS_STRING(s))
771 #define __Pyx_PyBytes_AsWritableUString(s) ((unsigned char*) PyBytes_AS_STRING(s))
772 #define __Pyx_PyBytes_AsString(s) ((const char*) PyBytes_AS_STRING(s))
773 #define __Pyx_PyBytes_AsSString(s) ((const signed char*) PyBytes_AS_STRING(s))
774 #define __Pyx_PyBytes_AsUString(s) ((const unsigned char*) PyBytes_AS_STRING(s))
775 #define __Pyx_PyObject_AsWritableString(s) ((char*) __Pyx_PyObject_AsString(s))
776 #define __Pyx_PyObject_AsWritableSString(s) ((signed char*) __Pyx_PyObject_AsString(s))
777 #define __Pyx_PyObject_AsWritableUString(s) ((unsigned char*) __Pyx_PyObject_AsString(s))
778 #define __Pyx_PyObject_AsSString(s) ((const signed char*) __Pyx_PyObject_AsString(s))
779 #define __Pyx_PyObject_AsUString(s) ((const unsigned char*) __Pyx_PyObject_AsString(s))
780 #define __Pyx_PyObject_FromCString(s) __Pyx_PyObject_FromString((const char*)s)
781 #define __Pyx_PyBytes_FromCString(s) __Pyx_PyBytes_FromString((const char*)s)
782 #define __Pyx_PyByteArray_FromCString(s) __Pyx_PyByteArray_FromString((const char*)s)
783 #define __Pyx_PyStr_FromCString(s) __Pyx_PyStr_FromString((const char*)s)
784 #define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
785 static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
786  const Py_UNICODE *u_end = u;
787  while (*u_end++) ;
788  return (size_t)(u_end - u - 1);
789 }
790 #define __Pyx_PyUnicode_FromUnicode(u) PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
791 #define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
792 #define __Pyx_PyUnicode_AsUnicode PyUnicode_AsUnicode
793 #define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
794 #define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
795 static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
796 static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
797 static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
798 static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
799 #define __Pyx_PySequence_Tuple(obj)\
800  (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
801 static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
802 static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
803 static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
804 #if CYTHON_ASSUME_SAFE_MACROS
805 #define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
806 #else
807 #define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
808 #endif
809 #define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
810 #if PY_MAJOR_VERSION >= 3
811 #define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
812 #else
813 #define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
814 #endif
815 #define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
816 #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
817 static int __Pyx_sys_getdefaultencoding_not_ascii;
818 static int __Pyx_init_sys_getdefaultencoding_params(void) {
819  PyObject* sys;
820  PyObject* default_encoding = NULL;
821  PyObject* ascii_chars_u = NULL;
822  PyObject* ascii_chars_b = NULL;
823  const char* default_encoding_c;
824  sys = PyImport_ImportModule("sys");
825  if (!sys) goto bad;
826  default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
827  Py_DECREF(sys);
828  if (!default_encoding) goto bad;
829  default_encoding_c = PyBytes_AsString(default_encoding);
830  if (!default_encoding_c) goto bad;
831  if (strcmp(default_encoding_c, "ascii") == 0) {
832  __Pyx_sys_getdefaultencoding_not_ascii = 0;
833  } else {
834  char ascii_chars[128];
835  int c;
836  for (c = 0; c < 128; c++) {
837  ascii_chars[c] = c;
838  }
839  __Pyx_sys_getdefaultencoding_not_ascii = 1;
840  ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
841  if (!ascii_chars_u) goto bad;
842  ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
843  if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
844  PyErr_Format(
845  PyExc_ValueError,
846  "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
847  default_encoding_c);
848  goto bad;
849  }
850  Py_DECREF(ascii_chars_u);
851  Py_DECREF(ascii_chars_b);
852  }
853  Py_DECREF(default_encoding);
854  return 0;
855 bad:
856  Py_XDECREF(default_encoding);
857  Py_XDECREF(ascii_chars_u);
858  Py_XDECREF(ascii_chars_b);
859  return -1;
860 }
861 #endif
862 #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
863 #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
864 #else
865 #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
866 #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
867 static char* __PYX_DEFAULT_STRING_ENCODING;
868 static int __Pyx_init_sys_getdefaultencoding_params(void) {
869  PyObject* sys;
870  PyObject* default_encoding = NULL;
871  char* default_encoding_c;
872  sys = PyImport_ImportModule("sys");
873  if (!sys) goto bad;
874  default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
875  Py_DECREF(sys);
876  if (!default_encoding) goto bad;
877  default_encoding_c = PyBytes_AsString(default_encoding);
878  if (!default_encoding_c) goto bad;
879  __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
880  if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
881  strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
882  Py_DECREF(default_encoding);
883  return 0;
884 bad:
885  Py_XDECREF(default_encoding);
886  return -1;
887 }
888 #endif
889 #endif
890 
891 
892 /* Test for GCC > 2.95 */
893 #if defined(__GNUC__) && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
894  #define likely(x) __builtin_expect(!!(x), 1)
895  #define unlikely(x) __builtin_expect(!!(x), 0)
896 #else /* !__GNUC__ or GCC < 2.95 */
897  #define likely(x) (x)
898  #define unlikely(x) (x)
899 #endif /* __GNUC__ */
900 static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
901 
902 static PyObject *__pyx_m = NULL;
903 static PyObject *__pyx_d;
904 static PyObject *__pyx_b;
905 static PyObject *__pyx_cython_runtime = NULL;
906 static PyObject *__pyx_empty_tuple;
907 static PyObject *__pyx_empty_bytes;
908 static PyObject *__pyx_empty_unicode;
909 static int __pyx_lineno;
910 static int __pyx_clineno = 0;
911 static const char * __pyx_cfilenm= __FILE__;
912 static const char *__pyx_filename;
913 
914 /* Header.proto */
915 #if !defined(CYTHON_CCOMPLEX)
916  #if defined(__cplusplus)
917  #define CYTHON_CCOMPLEX 1
918  #elif defined(_Complex_I)
919  #define CYTHON_CCOMPLEX 1
920  #else
921  #define CYTHON_CCOMPLEX 0
922  #endif
923 #endif
924 #if CYTHON_CCOMPLEX
925  #ifdef __cplusplus
926  #include <complex>
927  #else
928  #include <complex.h>
929  #endif
930 #endif
931 #if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
932  #undef _Complex_I
933  #define _Complex_I 1.0fj
934 #endif
935 
936 
937 static const char *__pyx_f[] = {
938  "proteus/canalyticalSolutions.pyx",
939  "__init__.pxd",
940  "type.pxd",
941 };
942 
943 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":690
944  * # in Cython to enable them only on the right systems.
945  *
946  * ctypedef npy_int8 int8_t # <<<<<<<<<<<<<<
947  * ctypedef npy_int16 int16_t
948  * ctypedef npy_int32 int32_t
949  */
950 typedef npy_int8 __pyx_t_5numpy_int8_t;
951 
952 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":691
953  *
954  * ctypedef npy_int8 int8_t
955  * ctypedef npy_int16 int16_t # <<<<<<<<<<<<<<
956  * ctypedef npy_int32 int32_t
957  * ctypedef npy_int64 int64_t
958  */
959 typedef npy_int16 __pyx_t_5numpy_int16_t;
960 
961 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":692
962  * ctypedef npy_int8 int8_t
963  * ctypedef npy_int16 int16_t
964  * ctypedef npy_int32 int32_t # <<<<<<<<<<<<<<
965  * ctypedef npy_int64 int64_t
966  * #ctypedef npy_int96 int96_t
967  */
968 typedef npy_int32 __pyx_t_5numpy_int32_t;
969 
970 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":693
971  * ctypedef npy_int16 int16_t
972  * ctypedef npy_int32 int32_t
973  * ctypedef npy_int64 int64_t # <<<<<<<<<<<<<<
974  * #ctypedef npy_int96 int96_t
975  * #ctypedef npy_int128 int128_t
976  */
977 typedef npy_int64 __pyx_t_5numpy_int64_t;
978 
979 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":697
980  * #ctypedef npy_int128 int128_t
981  *
982  * ctypedef npy_uint8 uint8_t # <<<<<<<<<<<<<<
983  * ctypedef npy_uint16 uint16_t
984  * ctypedef npy_uint32 uint32_t
985  */
986 typedef npy_uint8 __pyx_t_5numpy_uint8_t;
987 
988 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":698
989  *
990  * ctypedef npy_uint8 uint8_t
991  * ctypedef npy_uint16 uint16_t # <<<<<<<<<<<<<<
992  * ctypedef npy_uint32 uint32_t
993  * ctypedef npy_uint64 uint64_t
994  */
995 typedef npy_uint16 __pyx_t_5numpy_uint16_t;
996 
997 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":699
998  * ctypedef npy_uint8 uint8_t
999  * ctypedef npy_uint16 uint16_t
1000  * ctypedef npy_uint32 uint32_t # <<<<<<<<<<<<<<
1001  * ctypedef npy_uint64 uint64_t
1002  * #ctypedef npy_uint96 uint96_t
1003  */
1004 typedef npy_uint32 __pyx_t_5numpy_uint32_t;
1005 
1006 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":700
1007  * ctypedef npy_uint16 uint16_t
1008  * ctypedef npy_uint32 uint32_t
1009  * ctypedef npy_uint64 uint64_t # <<<<<<<<<<<<<<
1010  * #ctypedef npy_uint96 uint96_t
1011  * #ctypedef npy_uint128 uint128_t
1012  */
1013 typedef npy_uint64 __pyx_t_5numpy_uint64_t;
1014 
1015 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":704
1016  * #ctypedef npy_uint128 uint128_t
1017  *
1018  * ctypedef npy_float32 float32_t # <<<<<<<<<<<<<<
1019  * ctypedef npy_float64 float64_t
1020  * #ctypedef npy_float80 float80_t
1021  */
1022 typedef npy_float32 __pyx_t_5numpy_float32_t;
1023 
1024 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":705
1025  *
1026  * ctypedef npy_float32 float32_t
1027  * ctypedef npy_float64 float64_t # <<<<<<<<<<<<<<
1028  * #ctypedef npy_float80 float80_t
1029  * #ctypedef npy_float128 float128_t
1030  */
1031 typedef npy_float64 __pyx_t_5numpy_float64_t;
1032 
1033 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":714
1034  * # The int types are mapped a bit surprising --
1035  * # numpy.int corresponds to 'l' and numpy.long to 'q'
1036  * ctypedef npy_long int_t # <<<<<<<<<<<<<<
1037  * ctypedef npy_longlong long_t
1038  * ctypedef npy_longlong longlong_t
1039  */
1040 typedef npy_long __pyx_t_5numpy_int_t;
1041 
1042 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":715
1043  * # numpy.int corresponds to 'l' and numpy.long to 'q'
1044  * ctypedef npy_long int_t
1045  * ctypedef npy_longlong long_t # <<<<<<<<<<<<<<
1046  * ctypedef npy_longlong longlong_t
1047  *
1048  */
1049 typedef npy_longlong __pyx_t_5numpy_long_t;
1050 
1051 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":716
1052  * ctypedef npy_long int_t
1053  * ctypedef npy_longlong long_t
1054  * ctypedef npy_longlong longlong_t # <<<<<<<<<<<<<<
1055  *
1056  * ctypedef npy_ulong uint_t
1057  */
1058 typedef npy_longlong __pyx_t_5numpy_longlong_t;
1059 
1060 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":718
1061  * ctypedef npy_longlong longlong_t
1062  *
1063  * ctypedef npy_ulong uint_t # <<<<<<<<<<<<<<
1064  * ctypedef npy_ulonglong ulong_t
1065  * ctypedef npy_ulonglong ulonglong_t
1066  */
1067 typedef npy_ulong __pyx_t_5numpy_uint_t;
1068 
1069 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":719
1070  *
1071  * ctypedef npy_ulong uint_t
1072  * ctypedef npy_ulonglong ulong_t # <<<<<<<<<<<<<<
1073  * ctypedef npy_ulonglong ulonglong_t
1074  *
1075  */
1076 typedef npy_ulonglong __pyx_t_5numpy_ulong_t;
1077 
1078 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":720
1079  * ctypedef npy_ulong uint_t
1080  * ctypedef npy_ulonglong ulong_t
1081  * ctypedef npy_ulonglong ulonglong_t # <<<<<<<<<<<<<<
1082  *
1083  * ctypedef npy_intp intp_t
1084  */
1085 typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;
1086 
1087 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":722
1088  * ctypedef npy_ulonglong ulonglong_t
1089  *
1090  * ctypedef npy_intp intp_t # <<<<<<<<<<<<<<
1091  * ctypedef npy_uintp uintp_t
1092  *
1093  */
1094 typedef npy_intp __pyx_t_5numpy_intp_t;
1095 
1096 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":723
1097  *
1098  * ctypedef npy_intp intp_t
1099  * ctypedef npy_uintp uintp_t # <<<<<<<<<<<<<<
1100  *
1101  * ctypedef npy_double float_t
1102  */
1103 typedef npy_uintp __pyx_t_5numpy_uintp_t;
1104 
1105 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":725
1106  * ctypedef npy_uintp uintp_t
1107  *
1108  * ctypedef npy_double float_t # <<<<<<<<<<<<<<
1109  * ctypedef npy_double double_t
1110  * ctypedef npy_longdouble longdouble_t
1111  */
1112 typedef npy_double __pyx_t_5numpy_float_t;
1113 
1114 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":726
1115  *
1116  * ctypedef npy_double float_t
1117  * ctypedef npy_double double_t # <<<<<<<<<<<<<<
1118  * ctypedef npy_longdouble longdouble_t
1119  *
1120  */
1121 typedef npy_double __pyx_t_5numpy_double_t;
1122 
1123 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":727
1124  * ctypedef npy_double float_t
1125  * ctypedef npy_double double_t
1126  * ctypedef npy_longdouble longdouble_t # <<<<<<<<<<<<<<
1127  *
1128  * ctypedef npy_cfloat cfloat_t
1129  */
1130 typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
1131 /* Declarations.proto */
1132 #if CYTHON_CCOMPLEX
1133  #ifdef __cplusplus
1134  typedef ::std::complex< float > __pyx_t_float_complex;
1135  #else
1136  typedef float _Complex __pyx_t_float_complex;
1137  #endif
1138 #else
1139  typedef struct { float real, imag; } __pyx_t_float_complex;
1140 #endif
1141 static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);
1142 
1143 /* Declarations.proto */
1144 #if CYTHON_CCOMPLEX
1145  #ifdef __cplusplus
1146  typedef ::std::complex< double > __pyx_t_double_complex;
1147  #else
1148  typedef double _Complex __pyx_t_double_complex;
1149  #endif
1150 #else
1151  typedef struct { double real, imag; } __pyx_t_double_complex;
1152 #endif
1153 static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);
1154 
1155 
1156 /*--- Type declarations ---*/
1157 
1158 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":729
1159  * ctypedef npy_longdouble longdouble_t
1160  *
1161  * ctypedef npy_cfloat cfloat_t # <<<<<<<<<<<<<<
1162  * ctypedef npy_cdouble cdouble_t
1163  * ctypedef npy_clongdouble clongdouble_t
1164  */
1165 typedef npy_cfloat __pyx_t_5numpy_cfloat_t;
1166 
1167 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":730
1168  *
1169  * ctypedef npy_cfloat cfloat_t
1170  * ctypedef npy_cdouble cdouble_t # <<<<<<<<<<<<<<
1171  * ctypedef npy_clongdouble clongdouble_t
1172  *
1173  */
1174 typedef npy_cdouble __pyx_t_5numpy_cdouble_t;
1175 
1176 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":731
1177  * ctypedef npy_cfloat cfloat_t
1178  * ctypedef npy_cdouble cdouble_t
1179  * ctypedef npy_clongdouble clongdouble_t # <<<<<<<<<<<<<<
1180  *
1181  * ctypedef npy_cdouble complex_t
1182  */
1183 typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;
1184 
1185 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":733
1186  * ctypedef npy_clongdouble clongdouble_t
1187  *
1188  * ctypedef npy_cdouble complex_t # <<<<<<<<<<<<<<
1189  *
1190  * cdef inline object PyArray_MultiIterNew1(a):
1191  */
1192 typedef npy_cdouble __pyx_t_5numpy_complex_t;
1193 
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1227  #define __Pyx_DECREF(r) __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
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1231  #define __Pyx_XDECREF(r) do { if((r) != NULL) {__Pyx_DECREF(r); }} while(0)
1232  #define __Pyx_XGOTREF(r) do { if((r) != NULL) {__Pyx_GOTREF(r); }} while(0)
1233  #define __Pyx_XGIVEREF(r) do { if((r) != NULL) {__Pyx_GIVEREF(r);}} while(0)
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1235  #define __Pyx_RefNannyDeclarations
1236  #define __Pyx_RefNannySetupContext(name, acquire_gil)
1237  #define __Pyx_RefNannyFinishContext()
1238  #define __Pyx_INCREF(r) Py_INCREF(r)
1239  #define __Pyx_DECREF(r) Py_DECREF(r)
1240  #define __Pyx_GOTREF(r)
1241  #define __Pyx_GIVEREF(r)
1242  #define __Pyx_XINCREF(r) Py_XINCREF(r)
1243  #define __Pyx_XDECREF(r) Py_XDECREF(r)
1244  #define __Pyx_XGOTREF(r)
1245  #define __Pyx_XGIVEREF(r)
1246 #endif
1247 #define __Pyx_XDECREF_SET(r, v) do {\
1248  PyObject *tmp = (PyObject *) r;\
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1251 #define __Pyx_DECREF_SET(r, v) do {\
1252  PyObject *tmp = (PyObject *) r;\
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1255 #define __Pyx_CLEAR(r) do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
1256 #define __Pyx_XCLEAR(r) do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)
1257 
1258 /* RaiseArgTupleInvalid.proto */
1259 static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
1260  Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);
1261 
1262 /* RaiseDoubleKeywords.proto */
1263 static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);
1264 
1265 /* ParseKeywords.proto */
1266 static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
1267  PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,\
1268  const char* function_name);
1269 
1270 /* ArgTypeTest.proto */
1271 #define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
1272  ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
1273  __Pyx__ArgTypeTest(obj, type, name, exact))
1274 static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);
1275 
1276 /* PyObjectGetAttrStr.proto */
1277 #if CYTHON_USE_TYPE_SLOTS
1278 static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
1279 #else
1280 #define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
1281 #endif
1282 
1283 /* GetBuiltinName.proto */
1284 static PyObject *__Pyx_GetBuiltinName(PyObject *name);
1285 
1286 /* GetTopmostException.proto */
1287 #if CYTHON_USE_EXC_INFO_STACK
1288 static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
1289 #endif
1290 
1291 /* PyThreadStateGet.proto */
1292 #if CYTHON_FAST_THREAD_STATE
1293 #define __Pyx_PyThreadState_declare PyThreadState *__pyx_tstate;
1294 #define __Pyx_PyThreadState_assign __pyx_tstate = __Pyx_PyThreadState_Current;
1295 #define __Pyx_PyErr_Occurred() __pyx_tstate->curexc_type
1296 #else
1297 #define __Pyx_PyThreadState_declare
1298 #define __Pyx_PyThreadState_assign
1299 #define __Pyx_PyErr_Occurred() PyErr_Occurred()
1300 #endif
1301 
1302 /* SaveResetException.proto */
1303 #if CYTHON_FAST_THREAD_STATE
1304 #define __Pyx_ExceptionSave(type, value, tb) __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
1305 static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
1306 #define __Pyx_ExceptionReset(type, value, tb) __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
1307 static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
1308 #else
1309 #define __Pyx_ExceptionSave(type, value, tb) PyErr_GetExcInfo(type, value, tb)
1310 #define __Pyx_ExceptionReset(type, value, tb) PyErr_SetExcInfo(type, value, tb)
1311 #endif
1312 
1313 /* PyErrExceptionMatches.proto */
1314 #if CYTHON_FAST_THREAD_STATE
1315 #define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
1316 static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
1317 #else
1318 #define __Pyx_PyErr_ExceptionMatches(err) PyErr_ExceptionMatches(err)
1319 #endif
1320 
1321 /* GetException.proto */
1322 #if CYTHON_FAST_THREAD_STATE
1323 #define __Pyx_GetException(type, value, tb) __Pyx__GetException(__pyx_tstate, type, value, tb)
1324 static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
1325 #else
1326 static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
1327 #endif
1328 
1329 /* PyObjectCall.proto */
1330 #if CYTHON_COMPILING_IN_CPYTHON
1331 static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
1332 #else
1333 #define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
1334 #endif
1335 
1336 /* PyErrFetchRestore.proto */
1337 #if CYTHON_FAST_THREAD_STATE
1338 #define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
1339 #define __Pyx_ErrRestoreWithState(type, value, tb) __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
1340 #define __Pyx_ErrFetchWithState(type, value, tb) __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
1341 #define __Pyx_ErrRestore(type, value, tb) __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
1342 #define __Pyx_ErrFetch(type, value, tb) __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
1343 static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
1344 static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
1345 #if CYTHON_COMPILING_IN_CPYTHON
1346 #define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
1347 #else
1348 #define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
1349 #endif
1350 #else
1351 #define __Pyx_PyErr_Clear() PyErr_Clear()
1352 #define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
1353 #define __Pyx_ErrRestoreWithState(type, value, tb) PyErr_Restore(type, value, tb)
1354 #define __Pyx_ErrFetchWithState(type, value, tb) PyErr_Fetch(type, value, tb)
1355 #define __Pyx_ErrRestoreInState(tstate, type, value, tb) PyErr_Restore(type, value, tb)
1356 #define __Pyx_ErrFetchInState(tstate, type, value, tb) PyErr_Fetch(type, value, tb)
1357 #define __Pyx_ErrRestore(type, value, tb) PyErr_Restore(type, value, tb)
1358 #define __Pyx_ErrFetch(type, value, tb) PyErr_Fetch(type, value, tb)
1359 #endif
1360 
1361 /* RaiseException.proto */
1362 static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
1363 
1364 /* TypeImport.proto */
1365 #ifndef __PYX_HAVE_RT_ImportType_proto
1366 #define __PYX_HAVE_RT_ImportType_proto
1367 enum __Pyx_ImportType_CheckSize {
1368  __Pyx_ImportType_CheckSize_Error = 0,
1369  __Pyx_ImportType_CheckSize_Warn = 1,
1370  __Pyx_ImportType_CheckSize_Ignore = 2
1371 };
1372 static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size);
1373 #endif
1374 
1375 /* Import.proto */
1376 static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);
1377 
1378 /* PyDictVersioning.proto */
1379 #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
1380 #define __PYX_DICT_VERSION_INIT ((PY_UINT64_T) -1)
1381 #define __PYX_GET_DICT_VERSION(dict) (((PyDictObject*)(dict))->ma_version_tag)
1382 #define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
1383  (version_var) = __PYX_GET_DICT_VERSION(dict);\
1384  (cache_var) = (value);
1385 #define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
1386  static PY_UINT64_T __pyx_dict_version = 0;\
1387  static PyObject *__pyx_dict_cached_value = NULL;\
1388  if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
1389  (VAR) = __pyx_dict_cached_value;\
1390  } else {\
1391  (VAR) = __pyx_dict_cached_value = (LOOKUP);\
1392  __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
1393  }\
1394 }
1395 static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
1396 static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
1397 static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
1398 #else
1399 #define __PYX_GET_DICT_VERSION(dict) (0)
1400 #define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
1401 #define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) (VAR) = (LOOKUP);
1402 #endif
1403 
1404 /* CLineInTraceback.proto */
1405 #ifdef CYTHON_CLINE_IN_TRACEBACK
1406 #define __Pyx_CLineForTraceback(tstate, c_line) (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
1407 #else
1408 static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
1409 #endif
1410 
1411 /* CodeObjectCache.proto */
1412 typedef struct {
1413  PyCodeObject* code_object;
1414  int code_line;
1415 } __Pyx_CodeObjectCacheEntry;
1416 struct __Pyx_CodeObjectCache {
1417  int count;
1418  int max_count;
1419  __Pyx_CodeObjectCacheEntry* entries;
1420 };
1421 static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
1422 static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
1423 static PyCodeObject *__pyx_find_code_object(int code_line);
1424 static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
1425 
1426 /* AddTraceback.proto */
1427 static void __Pyx_AddTraceback(const char *funcname, int c_line,
1428  int py_line, const char *filename);
1429 
1430 /* GCCDiagnostics.proto */
1431 #if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
1432 #define __Pyx_HAS_GCC_DIAGNOSTIC
1433 #endif
1434 
1435 /* RealImag.proto */
1436 #if CYTHON_CCOMPLEX
1437  #ifdef __cplusplus
1438  #define __Pyx_CREAL(z) ((z).real())
1439  #define __Pyx_CIMAG(z) ((z).imag())
1440  #else
1441  #define __Pyx_CREAL(z) (__real__(z))
1442  #define __Pyx_CIMAG(z) (__imag__(z))
1443  #endif
1444 #else
1445  #define __Pyx_CREAL(z) ((z).real)
1446  #define __Pyx_CIMAG(z) ((z).imag)
1447 #endif
1448 #if defined(__cplusplus) && CYTHON_CCOMPLEX\
1449  && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
1450  #define __Pyx_SET_CREAL(z,x) ((z).real(x))
1451  #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
1452 #else
1453  #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
1454  #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
1455 #endif
1456 
1457 /* Arithmetic.proto */
1458 #if CYTHON_CCOMPLEX
1459  #define __Pyx_c_eq_float(a, b) ((a)==(b))
1460  #define __Pyx_c_sum_float(a, b) ((a)+(b))
1461  #define __Pyx_c_diff_float(a, b) ((a)-(b))
1462  #define __Pyx_c_prod_float(a, b) ((a)*(b))
1463  #define __Pyx_c_quot_float(a, b) ((a)/(b))
1464  #define __Pyx_c_neg_float(a) (-(a))
1465  #ifdef __cplusplus
1466  #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
1467  #define __Pyx_c_conj_float(z) (::std::conj(z))
1468  #if 1
1469  #define __Pyx_c_abs_float(z) (::std::abs(z))
1470  #define __Pyx_c_pow_float(a, b) (::std::pow(a, b))
1471  #endif
1472  #else
1473  #define __Pyx_c_is_zero_float(z) ((z)==0)
1474  #define __Pyx_c_conj_float(z) (conjf(z))
1475  #if 1
1476  #define __Pyx_c_abs_float(z) (cabsf(z))
1477  #define __Pyx_c_pow_float(a, b) (cpowf(a, b))
1478  #endif
1479  #endif
1480 #else
1481  static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
1482  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
1483  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
1484  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
1485  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
1486  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
1487  static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
1488  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
1489  #if 1
1490  static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
1491  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
1492  #endif
1493 #endif
1494 
1495 /* Arithmetic.proto */
1496 #if CYTHON_CCOMPLEX
1497  #define __Pyx_c_eq_double(a, b) ((a)==(b))
1498  #define __Pyx_c_sum_double(a, b) ((a)+(b))
1499  #define __Pyx_c_diff_double(a, b) ((a)-(b))
1500  #define __Pyx_c_prod_double(a, b) ((a)*(b))
1501  #define __Pyx_c_quot_double(a, b) ((a)/(b))
1502  #define __Pyx_c_neg_double(a) (-(a))
1503  #ifdef __cplusplus
1504  #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
1505  #define __Pyx_c_conj_double(z) (::std::conj(z))
1506  #if 1
1507  #define __Pyx_c_abs_double(z) (::std::abs(z))
1508  #define __Pyx_c_pow_double(a, b) (::std::pow(a, b))
1509  #endif
1510  #else
1511  #define __Pyx_c_is_zero_double(z) ((z)==0)
1512  #define __Pyx_c_conj_double(z) (conj(z))
1513  #if 1
1514  #define __Pyx_c_abs_double(z) (cabs(z))
1515  #define __Pyx_c_pow_double(a, b) (cpow(a, b))
1516  #endif
1517  #endif
1518 #else
1519  static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
1520  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
1521  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
1522  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
1523  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
1524  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
1525  static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
1526  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
1527  #if 1
1528  static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
1529  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
1530  #endif
1531 #endif
1532 
1533 /* CIntToPy.proto */
1534 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value);
1535 
1536 /* CIntFromPy.proto */
1537 static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
1538 
1539 /* CIntToPy.proto */
1540 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);
1541 
1542 /* CIntToPy.proto */
1543 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
1544 
1545 /* CIntFromPy.proto */
1546 static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
1547 
1548 /* FastTypeChecks.proto */
1549 #if CYTHON_COMPILING_IN_CPYTHON
1550 #define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
1551 static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
1552 static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
1553 static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
1554 #else
1555 #define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
1556 #define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
1557 #define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
1558 #endif
1559 #define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
1560 
1561 /* CheckBinaryVersion.proto */
1562 static int __Pyx_check_binary_version(void);
1563 
1564 /* InitStrings.proto */
1565 static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
1566 
1567 
1568 /* Module declarations from 'cpython.buffer' */
1569 
1570 /* Module declarations from 'libc.string' */
1571 
1572 /* Module declarations from 'libc.stdio' */
1573 
1574 /* Module declarations from '__builtin__' */
1575 
1576 /* Module declarations from 'cpython.type' */
1577 static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;
1578 
1579 /* Module declarations from 'cpython' */
1580 
1581 /* Module declarations from 'cpython.object' */
1582 
1583 /* Module declarations from 'cpython.ref' */
1584 
1585 /* Module declarations from 'cpython.mem' */
1586 
1587 /* Module declarations from 'numpy' */
1588 
1589 /* Module declarations from 'numpy' */
1590 static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
1591 static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
1592 static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
1593 static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
1594 static PyTypeObject *__pyx_ptype_5numpy_generic = 0;
1595 static PyTypeObject *__pyx_ptype_5numpy_number = 0;
1596 static PyTypeObject *__pyx_ptype_5numpy_integer = 0;
1597 static PyTypeObject *__pyx_ptype_5numpy_signedinteger = 0;
1598 static PyTypeObject *__pyx_ptype_5numpy_unsignedinteger = 0;
1599 static PyTypeObject *__pyx_ptype_5numpy_inexact = 0;
1600 static PyTypeObject *__pyx_ptype_5numpy_floating = 0;
1601 static PyTypeObject *__pyx_ptype_5numpy_complexfloating = 0;
1602 static PyTypeObject *__pyx_ptype_5numpy_flexible = 0;
1603 static PyTypeObject *__pyx_ptype_5numpy_character = 0;
1604 static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;
1605 
1606 /* Module declarations from 'canalyticalSolutions' */
1607 #define __Pyx_MODULE_NAME "canalyticalSolutions"
1608 extern int __pyx_module_is_main_canalyticalSolutions;
1609 int __pyx_module_is_main_canalyticalSolutions = 0;
1610 
1611 /* Implementation of 'canalyticalSolutions' */
1612 static PyObject *__pyx_builtin_ImportError;
1613 static const char __pyx_k_f[] = "f";
1614 static const char __pyx_k_r[] = "r";
1615 static const char __pyx_k_t[] = "t";
1616 static const char __pyx_k_u[] = "u";
1617 static const char __pyx_k_x[] = "x";
1618 static const char __pyx_k_dr[] = "dr";
1619 static const char __pyx_k_du[] = "du";
1620 static const char __pyx_k_np[] = "np";
1621 static const char __pyx_k_main[] = "__main__";
1622 static const char __pyx_k_name[] = "__name__";
1623 static const char __pyx_k_size[] = "size";
1624 static const char __pyx_k_test[] = "__test__";
1625 static const char __pyx_k_iwork[] = "iwork";
1626 static const char __pyx_k_numpy[] = "numpy";
1627 static const char __pyx_k_rwork[] = "rwork";
1628 static const char __pyx_k_import[] = "__import__";
1629 static const char __pyx_k_ImportError[] = "ImportError";
1630 static const char __pyx_k_NonlinearDAE[] = "NonlinearDAE";
1631 static const char __pyx_k_LinearADR_Sine[] = "LinearADR_Sine";
1632 static const char __pyx_k_NonlinearDAE_f[] = "NonlinearDAE_f";
1633 static const char __pyx_k_STflowSphere_P[] = "STflowSphere_P";
1634 static const char __pyx_k_diffusionSin1D[] = "diffusionSin1D";
1635 static const char __pyx_k_diffusionSin2D[] = "diffusionSin2D";
1636 static const char __pyx_k_diffusionSin3D[] = "diffusionSin3D";
1637 static const char __pyx_k_STflowSphere_Vx[] = "STflowSphere_Vx";
1638 static const char __pyx_k_STflowSphere_Vy[] = "STflowSphere_Vy";
1639 static const char __pyx_k_STflowSphere_Vz[] = "STflowSphere_Vz";
1640 static const char __pyx_k_LinearADR_Sine_r[] = "LinearADR_Sine_r";
1641 static const char __pyx_k_LinearAD_DiracIC[] = "LinearAD_DiracIC";
1642 static const char __pyx_k_diffusionSin1D_r[] = "diffusionSin1D_r";
1643 static const char __pyx_k_diffusionSin2D_r[] = "diffusionSin2D_r";
1644 static const char __pyx_k_diffusionSin3D_r[] = "diffusionSin3D_r";
1645 static const char __pyx_k_LinearADR_Sine_dr[] = "LinearADR_Sine_dr";
1646 static const char __pyx_k_LinearADR_Sine_du[] = "LinearADR_Sine_du";
1647 static const char __pyx_k_PlaneCouetteFlow_u[] = "PlaneCouetteFlow_u";
1648 static const char __pyx_k_PoiseuillePipeFlow[] = "PoiseuillePipeFlow";
1649 static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
1650 static const char __pyx_k_LinearAD_DiracIC_du[] = "LinearAD_DiracIC_du";
1651 static const char __pyx_k_LinearAD_SteadyState[] = "LinearAD_SteadyState";
1652 static const char __pyx_k_PoiseuillePipeFlow_P[] = "PoiseuillePipeFlow_P";
1653 static const char __pyx_k_canalyticalSolutions[] = "canalyticalSolutions";
1654 static const char __pyx_k_PlanePoiseuilleFlow_u[] = "PlanePoiseuilleFlow_u";
1655 static const char __pyx_k_poissonsEquationExp1D[] = "poissonsEquationExp1D";
1656 static const char __pyx_k_poissonsEquationExp2D[] = "poissonsEquationExp2D";
1657 static const char __pyx_k_poissonsEquationExp3D[] = "poissonsEquationExp3D";
1658 static const char __pyx_k_LinearADR_Decay_DiracIC[] = "LinearADR_Decay_DiracIC";
1659 static const char __pyx_k_NonlinearAD_SteadyState[] = "NonlinearAD_SteadyState";
1660 static const char __pyx_k_poissonsEquationExp1D_r[] = "poissonsEquationExp1D_r";
1661 static const char __pyx_k_poissonsEquationExp2D_r[] = "poissonsEquationExp2D_r";
1662 static const char __pyx_k_poissonsEquationExp3D_r[] = "poissonsEquationExp3D_r";
1663 static const char __pyx_k_poissonsEquationExp3D_dr[] = "poissonsEquationExp3D_dr";
1664 static const char __pyx_k_LinearADR_Decay_DiracIC_r[] = "LinearADR_Decay_DiracIC_r";
1665 static const char __pyx_k_LinearADR_Decay_DiracIC_dr[] = "LinearADR_Decay_DiracIC_dr";
1666 static const char __pyx_k_NonlinearADR_Decay_DiracIC[] = "NonlinearADR_Decay_DiracIC";
1667 static const char __pyx_k_LinearADR_Sine_totalVelocity[] = "LinearADR_Sine_totalVelocity";
1668 static const char __pyx_k_NonlinearADR_Decay_DiracIC_r[] = "NonlinearADR_Decay_DiracIC_r";
1669 static const char __pyx_k_NonlinearADR_Decay_DiracIC_dr[] = "NonlinearADR_Decay_DiracIC_dr";
1670 static const char __pyx_k_LinearAD_DiracIC_totalVelocity[] = "LinearAD_DiracIC_totalVelocity";
1671 static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
1672 static const char __pyx_k_LinearADR_Sine_advectiveVelocity[] = "LinearADR_Sine_advectiveVelocity";
1673 static const char __pyx_k_LinearADR_Sine_diffusiveVelocity[] = "LinearADR_Sine_diffusiveVelocity";
1674 static const char __pyx_k_LinearAD_DiracIC_advectiveVeloci[] = "LinearAD_DiracIC_advectiveVelocity";
1675 static const char __pyx_k_LinearAD_DiracIC_diffusiveVeloci[] = "LinearAD_DiracIC_diffusiveVelocity";
1676 static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
1677 static const char __pyx_k_proteus_canalyticalSolutions_pyx[] = "proteus/canalyticalSolutions.pyx";
1678 static PyObject *__pyx_n_s_ImportError;
1679 static PyObject *__pyx_n_s_LinearADR_Decay_DiracIC;
1680 static PyObject *__pyx_n_s_LinearADR_Decay_DiracIC_dr;
1681 static PyObject *__pyx_n_s_LinearADR_Decay_DiracIC_r;
1682 static PyObject *__pyx_n_s_LinearADR_Sine;
1683 static PyObject *__pyx_n_s_LinearADR_Sine_advectiveVelocity;
1684 static PyObject *__pyx_n_s_LinearADR_Sine_diffusiveVelocity;
1685 static PyObject *__pyx_n_s_LinearADR_Sine_dr;
1686 static PyObject *__pyx_n_s_LinearADR_Sine_du;
1687 static PyObject *__pyx_n_s_LinearADR_Sine_r;
1688 static PyObject *__pyx_n_s_LinearADR_Sine_totalVelocity;
1689 static PyObject *__pyx_n_s_LinearAD_DiracIC;
1690 static PyObject *__pyx_n_s_LinearAD_DiracIC_advectiveVeloci;
1691 static PyObject *__pyx_n_s_LinearAD_DiracIC_diffusiveVeloci;
1692 static PyObject *__pyx_n_s_LinearAD_DiracIC_du;
1693 static PyObject *__pyx_n_s_LinearAD_DiracIC_totalVelocity;
1694 static PyObject *__pyx_n_s_LinearAD_SteadyState;
1695 static PyObject *__pyx_n_s_NonlinearADR_Decay_DiracIC;
1696 static PyObject *__pyx_n_s_NonlinearADR_Decay_DiracIC_dr;
1697 static PyObject *__pyx_n_s_NonlinearADR_Decay_DiracIC_r;
1698 static PyObject *__pyx_n_s_NonlinearAD_SteadyState;
1699 static PyObject *__pyx_n_s_NonlinearDAE;
1700 static PyObject *__pyx_n_s_NonlinearDAE_f;
1701 static PyObject *__pyx_n_s_PlaneCouetteFlow_u;
1702 static PyObject *__pyx_n_s_PlanePoiseuilleFlow_u;
1703 static PyObject *__pyx_n_s_PoiseuillePipeFlow;
1704 static PyObject *__pyx_n_s_PoiseuillePipeFlow_P;
1705 static PyObject *__pyx_n_s_STflowSphere_P;
1706 static PyObject *__pyx_n_s_STflowSphere_Vx;
1707 static PyObject *__pyx_n_s_STflowSphere_Vy;
1708 static PyObject *__pyx_n_s_STflowSphere_Vz;
1709 static PyObject *__pyx_n_s_canalyticalSolutions;
1710 static PyObject *__pyx_n_s_cline_in_traceback;
1711 static PyObject *__pyx_n_s_diffusionSin1D;
1712 static PyObject *__pyx_n_s_diffusionSin1D_r;
1713 static PyObject *__pyx_n_s_diffusionSin2D;
1714 static PyObject *__pyx_n_s_diffusionSin2D_r;
1715 static PyObject *__pyx_n_s_diffusionSin3D;
1716 static PyObject *__pyx_n_s_diffusionSin3D_r;
1717 static PyObject *__pyx_n_s_dr;
1718 static PyObject *__pyx_n_s_du;
1719 static PyObject *__pyx_n_s_f;
1720 static PyObject *__pyx_n_s_import;
1721 static PyObject *__pyx_n_s_iwork;
1722 static PyObject *__pyx_n_s_main;
1723 static PyObject *__pyx_n_s_name;
1724 static PyObject *__pyx_n_s_np;
1725 static PyObject *__pyx_n_s_numpy;
1726 static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to;
1727 static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor;
1728 static PyObject *__pyx_n_s_poissonsEquationExp1D;
1729 static PyObject *__pyx_n_s_poissonsEquationExp1D_r;
1730 static PyObject *__pyx_n_s_poissonsEquationExp2D;
1731 static PyObject *__pyx_n_s_poissonsEquationExp2D_r;
1732 static PyObject *__pyx_n_s_poissonsEquationExp3D;
1733 static PyObject *__pyx_n_s_poissonsEquationExp3D_dr;
1734 static PyObject *__pyx_n_s_poissonsEquationExp3D_r;
1735 static PyObject *__pyx_kp_s_proteus_canalyticalSolutions_pyx;
1736 static PyObject *__pyx_n_s_r;
1737 static PyObject *__pyx_n_s_rwork;
1738 static PyObject *__pyx_n_s_size;
1739 static PyObject *__pyx_n_s_t;
1740 static PyObject *__pyx_n_s_test;
1741 static PyObject *__pyx_n_s_u;
1742 static PyObject *__pyx_n_s_x;
1743 static PyObject *__pyx_pf_20canalyticalSolutions_PlaneCouetteFlow_u(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1744 static PyObject *__pyx_pf_20canalyticalSolutions_2diffusionSin1D(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1745 static PyObject *__pyx_pf_20canalyticalSolutions_4diffusionSin2D(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1746 static PyObject *__pyx_pf_20canalyticalSolutions_6diffusionSin3D(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1747 static PyObject *__pyx_pf_20canalyticalSolutions_8diffusionSin1D_r(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_r); /* proto */
1748 static PyObject *__pyx_pf_20canalyticalSolutions_10diffusionSin2D_r(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_r); /* proto */
1749 static PyObject *__pyx_pf_20canalyticalSolutions_12diffusionSin3D_r(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_r); /* proto */
1750 static PyObject *__pyx_pf_20canalyticalSolutions_14LinearAD_DiracIC(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1751 static PyObject *__pyx_pf_20canalyticalSolutions_16LinearAD_DiracIC_advectiveVelocity(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_f); /* proto */
1752 static PyObject *__pyx_pf_20canalyticalSolutions_18LinearAD_DiracIC_diffusiveVelocity(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_f); /* proto */
1753 static PyObject *__pyx_pf_20canalyticalSolutions_20LinearAD_DiracIC_du(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_du); /* proto */
1754 static PyObject *__pyx_pf_20canalyticalSolutions_22LinearAD_DiracIC_totalVelocity(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1755 static PyObject *__pyx_pf_20canalyticalSolutions_24LinearAD_SteadyState(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1756 static PyObject *__pyx_pf_20canalyticalSolutions_26LinearADR_Decay_DiracIC(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1757 static PyObject *__pyx_pf_20canalyticalSolutions_28LinearADR_Decay_DiracIC_dr(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_dr); /* proto */
1758 static PyObject *__pyx_pf_20canalyticalSolutions_30LinearADR_Decay_DiracIC_r(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_r); /* proto */
1759 static PyObject *__pyx_pf_20canalyticalSolutions_32LinearADR_Sine(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1760 static PyObject *__pyx_pf_20canalyticalSolutions_34LinearADR_Sine_advectiveVelocity(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_f); /* proto */
1761 static PyObject *__pyx_pf_20canalyticalSolutions_36LinearADR_Sine_diffusiveVelocity(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_f); /* proto */
1762 static PyObject *__pyx_pf_20canalyticalSolutions_38LinearADR_Sine_dr(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_dr); /* proto */
1763 static PyObject *__pyx_pf_20canalyticalSolutions_40LinearADR_Sine_du(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_du); /* proto */
1764 static PyObject *__pyx_pf_20canalyticalSolutions_42LinearADR_Sine_r(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_r); /* proto */
1765 static PyObject *__pyx_pf_20canalyticalSolutions_44LinearADR_Sine_totalVelocity(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1766 static PyObject *__pyx_pf_20canalyticalSolutions_46NonlinearAD_SteadyState(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1767 static PyObject *__pyx_pf_20canalyticalSolutions_48NonlinearADR_Decay_DiracIC(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1768 static PyObject *__pyx_pf_20canalyticalSolutions_50NonlinearADR_Decay_DiracIC_dr(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_dr); /* proto */
1769 static PyObject *__pyx_pf_20canalyticalSolutions_52NonlinearADR_Decay_DiracIC_r(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_r); /* proto */
1770 static PyObject *__pyx_pf_20canalyticalSolutions_54NonlinearDAE(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1771 static PyObject *__pyx_pf_20canalyticalSolutions_56NonlinearDAE_f(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1772 static PyObject *__pyx_pf_20canalyticalSolutions_58PlanePoiseuilleFlow_u(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1773 static PyObject *__pyx_pf_20canalyticalSolutions_60PoiseuillePipeFlow(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1774 static PyObject *__pyx_pf_20canalyticalSolutions_62PoiseuillePipeFlow_P(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1775 static PyObject *__pyx_pf_20canalyticalSolutions_64poissonsEquationExp1D(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1776 static PyObject *__pyx_pf_20canalyticalSolutions_66poissonsEquationExp2D(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1777 static PyObject *__pyx_pf_20canalyticalSolutions_68poissonsEquationExp3D(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1778 static PyObject *__pyx_pf_20canalyticalSolutions_70poissonsEquationExp3D_dr(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_dr); /* proto */
1779 static PyObject *__pyx_pf_20canalyticalSolutions_72poissonsEquationExp1D_r(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_r); /* proto */
1780 static PyObject *__pyx_pf_20canalyticalSolutions_74poissonsEquationExp2D_r(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_r); /* proto */
1781 static PyObject *__pyx_pf_20canalyticalSolutions_76poissonsEquationExp3D_r(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_r); /* proto */
1782 static PyObject *__pyx_pf_20canalyticalSolutions_78STflowSphere_P(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1783 static PyObject *__pyx_pf_20canalyticalSolutions_80STflowSphere_Vx(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1784 static PyObject *__pyx_pf_20canalyticalSolutions_82STflowSphere_Vy(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1785 static PyObject *__pyx_pf_20canalyticalSolutions_84STflowSphere_Vz(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_iwork, PyArrayObject *__pyx_v_rwork, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u); /* proto */
1786 static PyObject *__pyx_tuple_;
1787 static PyObject *__pyx_tuple__2;
1788 static PyObject *__pyx_tuple__3;
1789 static PyObject *__pyx_tuple__5;
1790 static PyObject *__pyx_tuple__7;
1791 static PyObject *__pyx_tuple__9;
1792 static PyObject *__pyx_tuple__11;
1793 static PyObject *__pyx_tuple__13;
1794 static PyObject *__pyx_tuple__15;
1795 static PyObject *__pyx_tuple__17;
1796 static PyObject *__pyx_tuple__19;
1797 static PyObject *__pyx_tuple__21;
1798 static PyObject *__pyx_tuple__23;
1799 static PyObject *__pyx_tuple__25;
1800 static PyObject *__pyx_tuple__27;
1801 static PyObject *__pyx_tuple__29;
1802 static PyObject *__pyx_tuple__31;
1803 static PyObject *__pyx_tuple__33;
1804 static PyObject *__pyx_tuple__35;
1805 static PyObject *__pyx_tuple__37;
1806 static PyObject *__pyx_tuple__39;
1807 static PyObject *__pyx_tuple__41;
1808 static PyObject *__pyx_tuple__43;
1809 static PyObject *__pyx_tuple__45;
1810 static PyObject *__pyx_tuple__47;
1811 static PyObject *__pyx_tuple__49;
1812 static PyObject *__pyx_tuple__51;
1813 static PyObject *__pyx_tuple__53;
1814 static PyObject *__pyx_tuple__55;
1815 static PyObject *__pyx_tuple__57;
1816 static PyObject *__pyx_tuple__59;
1817 static PyObject *__pyx_tuple__61;
1818 static PyObject *__pyx_tuple__63;
1819 static PyObject *__pyx_tuple__65;
1820 static PyObject *__pyx_tuple__67;
1821 static PyObject *__pyx_tuple__69;
1822 static PyObject *__pyx_tuple__71;
1823 static PyObject *__pyx_tuple__73;
1824 static PyObject *__pyx_tuple__75;
1825 static PyObject *__pyx_tuple__77;
1826 static PyObject *__pyx_tuple__79;
1827 static PyObject *__pyx_tuple__81;
1828 static PyObject *__pyx_tuple__83;
1829 static PyObject *__pyx_tuple__85;
1830 static PyObject *__pyx_tuple__87;
1831 static PyObject *__pyx_codeobj__4;
1832 static PyObject *__pyx_codeobj__6;
1833 static PyObject *__pyx_codeobj__8;
1834 static PyObject *__pyx_codeobj__10;
1835 static PyObject *__pyx_codeobj__12;
1836 static PyObject *__pyx_codeobj__14;
1837 static PyObject *__pyx_codeobj__16;
1838 static PyObject *__pyx_codeobj__18;
1839 static PyObject *__pyx_codeobj__20;
1840 static PyObject *__pyx_codeobj__22;
1841 static PyObject *__pyx_codeobj__24;
1842 static PyObject *__pyx_codeobj__26;
1843 static PyObject *__pyx_codeobj__28;
1844 static PyObject *__pyx_codeobj__30;
1845 static PyObject *__pyx_codeobj__32;
1846 static PyObject *__pyx_codeobj__34;
1847 static PyObject *__pyx_codeobj__36;
1848 static PyObject *__pyx_codeobj__38;
1849 static PyObject *__pyx_codeobj__40;
1850 static PyObject *__pyx_codeobj__42;
1851 static PyObject *__pyx_codeobj__44;
1852 static PyObject *__pyx_codeobj__46;
1853 static PyObject *__pyx_codeobj__48;
1854 static PyObject *__pyx_codeobj__50;
1855 static PyObject *__pyx_codeobj__52;
1856 static PyObject *__pyx_codeobj__54;
1857 static PyObject *__pyx_codeobj__56;
1858 static PyObject *__pyx_codeobj__58;
1859 static PyObject *__pyx_codeobj__60;
1860 static PyObject *__pyx_codeobj__62;
1861 static PyObject *__pyx_codeobj__64;
1862 static PyObject *__pyx_codeobj__66;
1863 static PyObject *__pyx_codeobj__68;
1864 static PyObject *__pyx_codeobj__70;
1865 static PyObject *__pyx_codeobj__72;
1866 static PyObject *__pyx_codeobj__74;
1867 static PyObject *__pyx_codeobj__76;
1868 static PyObject *__pyx_codeobj__78;
1869 static PyObject *__pyx_codeobj__80;
1870 static PyObject *__pyx_codeobj__82;
1871 static PyObject *__pyx_codeobj__84;
1872 static PyObject *__pyx_codeobj__86;
1873 static PyObject *__pyx_codeobj__88;
1874 /* Late includes */
1875 
1876 /* "canalyticalSolutions.pyx":50
1877  *
1878  *
1879  * def PlaneCouetteFlow_u(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
1880  * return cPlaneCouetteFlow_u( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
1881  *
1882  */
1883 
1884 /* Python wrapper */
1885 static PyObject *__pyx_pw_20canalyticalSolutions_1PlaneCouetteFlow_u(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
1886 static PyMethodDef __pyx_mdef_20canalyticalSolutions_1PlaneCouetteFlow_u = {"PlaneCouetteFlow_u", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_20canalyticalSolutions_1PlaneCouetteFlow_u, METH_VARARGS|METH_KEYWORDS, 0};
1887 static PyObject *__pyx_pw_20canalyticalSolutions_1PlaneCouetteFlow_u(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
1888  PyArrayObject *__pyx_v_iwork = 0;
1889  PyArrayObject *__pyx_v_rwork = 0;
1890  double __pyx_v_t;
1891  PyArrayObject *__pyx_v_x = 0;
1892  PyArrayObject *__pyx_v_u = 0;
1893  int __pyx_lineno = 0;
1894  const char *__pyx_filename = NULL;
1895  int __pyx_clineno = 0;
1896  PyObject *__pyx_r = 0;
1897  __Pyx_RefNannyDeclarations
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10093  * raise ImportError("numpy.core.umath failed to import")
10094  *
10095  * cdef inline int import_ufunc() except -1: # <<<<<<<<<<<<<<
10096  * try:
10097  * _import_umath()
10098  */
10099 
10100 static CYTHON_INLINE int __pyx_f_5numpy_import_ufunc(void) {
10101  int __pyx_r;
10102  __Pyx_RefNannyDeclarations
10103  PyObject *__pyx_t_1 = NULL;
10104  PyObject *__pyx_t_2 = NULL;
10105  PyObject *__pyx_t_3 = NULL;
10106  int __pyx_t_4;
10107  PyObject *__pyx_t_5 = NULL;
10108  PyObject *__pyx_t_6 = NULL;
10109  PyObject *__pyx_t_7 = NULL;
10110  PyObject *__pyx_t_8 = NULL;
10111  int __pyx_lineno = 0;
10112  const char *__pyx_filename = NULL;
10113  int __pyx_clineno = 0;
10114  __Pyx_RefNannySetupContext("import_ufunc", 0);
10115 
10116  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":954
10117  *
10118  * cdef inline int import_ufunc() except -1:
10119  * try: # <<<<<<<<<<<<<<
10120  * _import_umath()
10121  * except Exception:
10122  */
10123  {
10124  __Pyx_PyThreadState_declare
10125  __Pyx_PyThreadState_assign
10126  __Pyx_ExceptionSave(&__pyx_t_1, &__pyx_t_2, &__pyx_t_3);
10127  __Pyx_XGOTREF(__pyx_t_1);
10128  __Pyx_XGOTREF(__pyx_t_2);
10129  __Pyx_XGOTREF(__pyx_t_3);
10130  /*try:*/ {
10131 
10132  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":955
10133  * cdef inline int import_ufunc() except -1:
10134  * try:
10135  * _import_umath() # <<<<<<<<<<<<<<
10136  * except Exception:
10137  * raise ImportError("numpy.core.umath failed to import")
10138  */
10139  __pyx_t_4 = _import_umath(); if (unlikely(__pyx_t_4 == ((int)-1))) __PYX_ERR(1, 955, __pyx_L3_error)
10140 
10141  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":954
10142  *
10143  * cdef inline int import_ufunc() except -1:
10144  * try: # <<<<<<<<<<<<<<
10145  * _import_umath()
10146  * except Exception:
10147  */
10148  }
10149  __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
10150  __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
10151  __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
10152  goto __pyx_L8_try_end;
10153  __pyx_L3_error:;
10154 
10155  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":956
10156  * try:
10157  * _import_umath()
10158  * except Exception: # <<<<<<<<<<<<<<
10159  * raise ImportError("numpy.core.umath failed to import")
10160  *
10161  */
10162  __pyx_t_4 = __Pyx_PyErr_ExceptionMatches(((PyObject *)(&((PyTypeObject*)PyExc_Exception)[0])));
10163  if (__pyx_t_4) {
10164  __Pyx_AddTraceback("numpy.import_ufunc", __pyx_clineno, __pyx_lineno, __pyx_filename);
10165  if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_6, &__pyx_t_7) < 0) __PYX_ERR(1, 956, __pyx_L5_except_error)
10166  __Pyx_GOTREF(__pyx_t_5);
10167  __Pyx_GOTREF(__pyx_t_6);
10168  __Pyx_GOTREF(__pyx_t_7);
10169 
10170  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":957
10171  * _import_umath()
10172  * except Exception:
10173  * raise ImportError("numpy.core.umath failed to import") # <<<<<<<<<<<<<<
10174  *
10175  * cdef extern from *:
10176  */
10177  __pyx_t_8 = __Pyx_PyObject_Call(__pyx_builtin_ImportError, __pyx_tuple__2, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(1, 957, __pyx_L5_except_error)
10178  __Pyx_GOTREF(__pyx_t_8);
10179  __Pyx_Raise(__pyx_t_8, 0, 0, 0);
10180  __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
10181  __PYX_ERR(1, 957, __pyx_L5_except_error)
10182  }
10183  goto __pyx_L5_except_error;
10184  __pyx_L5_except_error:;
10185 
10186  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":954
10187  *
10188  * cdef inline int import_ufunc() except -1:
10189  * try: # <<<<<<<<<<<<<<
10190  * _import_umath()
10191  * except Exception:
10192  */
10193  __Pyx_XGIVEREF(__pyx_t_1);
10194  __Pyx_XGIVEREF(__pyx_t_2);
10195  __Pyx_XGIVEREF(__pyx_t_3);
10196  __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
10197  goto __pyx_L1_error;
10198  __pyx_L8_try_end:;
10199  }
10200 
10201  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":953
10202  * raise ImportError("numpy.core.umath failed to import")
10203  *
10204  * cdef inline int import_ufunc() except -1: # <<<<<<<<<<<<<<
10205  * try:
10206  * _import_umath()
10207  */
10208 
10209  /* function exit code */
10210  __pyx_r = 0;
10211  goto __pyx_L0;
10212  __pyx_L1_error:;
10213  __Pyx_XDECREF(__pyx_t_5);
10214  __Pyx_XDECREF(__pyx_t_6);
10215  __Pyx_XDECREF(__pyx_t_7);
10216  __Pyx_XDECREF(__pyx_t_8);
10217  __Pyx_AddTraceback("numpy.import_ufunc", __pyx_clineno, __pyx_lineno, __pyx_filename);
10218  __pyx_r = -1;
10219  __pyx_L0:;
10220  __Pyx_RefNannyFinishContext();
10221  return __pyx_r;
10222 }
10223 
10224 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":967
10225  *
10226  *
10227  * cdef inline bint is_timedelta64_object(object obj): # <<<<<<<<<<<<<<
10228  * """
10229  * Cython equivalent of `isinstance(obj, np.timedelta64)`
10230  */
10231 
10232 static CYTHON_INLINE int __pyx_f_5numpy_is_timedelta64_object(PyObject *__pyx_v_obj) {
10233  int __pyx_r;
10234  __Pyx_RefNannyDeclarations
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10238  * bool
10239  * """
10240  * return PyObject_TypeCheck(obj, &PyTimedeltaArrType_Type) # <<<<<<<<<<<<<<
10241  *
10242  *
10243  */
10244  __pyx_r = PyObject_TypeCheck(__pyx_v_obj, (&PyTimedeltaArrType_Type));
10245  goto __pyx_L0;
10246 
10247  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":967
10248  *
10249  *
10250  * cdef inline bint is_timedelta64_object(object obj): # <<<<<<<<<<<<<<
10251  * """
10252  * Cython equivalent of `isinstance(obj, np.timedelta64)`
10253  */
10254 
10255  /* function exit code */
10256  __pyx_L0:;
10257  __Pyx_RefNannyFinishContext();
10258  return __pyx_r;
10259 }
10260 
10261 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":982
10262  *
10263  *
10264  * cdef inline bint is_datetime64_object(object obj): # <<<<<<<<<<<<<<
10265  * """
10266  * Cython equivalent of `isinstance(obj, np.datetime64)`
10267  */
10268 
10269 static CYTHON_INLINE int __pyx_f_5numpy_is_datetime64_object(PyObject *__pyx_v_obj) {
10270  int __pyx_r;
10271  __Pyx_RefNannyDeclarations
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10274  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":994
10275  * bool
10276  * """
10277  * return PyObject_TypeCheck(obj, &PyDatetimeArrType_Type) # <<<<<<<<<<<<<<
10278  *
10279  *
10280  */
10281  __pyx_r = PyObject_TypeCheck(__pyx_v_obj, (&PyDatetimeArrType_Type));
10282  goto __pyx_L0;
10283 
10284  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":982
10285  *
10286  *
10287  * cdef inline bint is_datetime64_object(object obj): # <<<<<<<<<<<<<<
10288  * """
10289  * Cython equivalent of `isinstance(obj, np.datetime64)`
10290  */
10291 
10292  /* function exit code */
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10294  __Pyx_RefNannyFinishContext();
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10298 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":997
10299  *
10300  *
10301  * cdef inline npy_datetime get_datetime64_value(object obj) nogil: # <<<<<<<<<<<<<<
10302  * """
10303  * returns the int64 value underlying scalar numpy datetime64 object
10304  */
10305 
10306 static CYTHON_INLINE npy_datetime __pyx_f_5numpy_get_datetime64_value(PyObject *__pyx_v_obj) {
10307  npy_datetime __pyx_r;
10308 
10309  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":1004
10310  * also needed. That can be found using `get_datetime64_unit`.
10311  * """
10312  * return (<PyDatetimeScalarObject*>obj).obval # <<<<<<<<<<<<<<
10313  *
10314  *
10315  */
10316  __pyx_r = ((PyDatetimeScalarObject *)__pyx_v_obj)->obval;
10317  goto __pyx_L0;
10318 
10319  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":997
10320  *
10321  *
10322  * cdef inline npy_datetime get_datetime64_value(object obj) nogil: # <<<<<<<<<<<<<<
10323  * """
10324  * returns the int64 value underlying scalar numpy datetime64 object
10325  */
10326 
10327  /* function exit code */
10328  __pyx_L0:;
10329  return __pyx_r;
10330 }
10331 
10332 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":1007
10333  *
10334  *
10335  * cdef inline npy_timedelta get_timedelta64_value(object obj) nogil: # <<<<<<<<<<<<<<
10336  * """
10337  * returns the int64 value underlying scalar numpy timedelta64 object
10338  */
10339 
10340 static CYTHON_INLINE npy_timedelta __pyx_f_5numpy_get_timedelta64_value(PyObject *__pyx_v_obj) {
10341  npy_timedelta __pyx_r;
10342 
10343  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":1011
10344  * returns the int64 value underlying scalar numpy timedelta64 object
10345  * """
10346  * return (<PyTimedeltaScalarObject*>obj).obval # <<<<<<<<<<<<<<
10347  *
10348  *
10349  */
10350  __pyx_r = ((PyTimedeltaScalarObject *)__pyx_v_obj)->obval;
10351  goto __pyx_L0;
10352 
10353  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":1007
10354  *
10355  *
10356  * cdef inline npy_timedelta get_timedelta64_value(object obj) nogil: # <<<<<<<<<<<<<<
10357  * """
10358  * returns the int64 value underlying scalar numpy timedelta64 object
10359  */
10360 
10361  /* function exit code */
10362  __pyx_L0:;
10363  return __pyx_r;
10364 }
10365 
10366 /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":1014
10367  *
10368  *
10369  * cdef inline NPY_DATETIMEUNIT get_datetime64_unit(object obj) nogil: # <<<<<<<<<<<<<<
10370  * """
10371  * returns the unit part of the dtype for a numpy datetime64 object.
10372  */
10373 
10374 static CYTHON_INLINE NPY_DATETIMEUNIT __pyx_f_5numpy_get_datetime64_unit(PyObject *__pyx_v_obj) {
10375  NPY_DATETIMEUNIT __pyx_r;
10376 
10377  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":1018
10378  * returns the unit part of the dtype for a numpy datetime64 object.
10379  * """
10380  * return <NPY_DATETIMEUNIT>(<PyDatetimeScalarObject*>obj).obmeta.base # <<<<<<<<<<<<<<
10381  */
10382  __pyx_r = ((NPY_DATETIMEUNIT)((PyDatetimeScalarObject *)__pyx_v_obj)->obmeta.base);
10383  goto __pyx_L0;
10384 
10385  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":1014
10386  *
10387  *
10388  * cdef inline NPY_DATETIMEUNIT get_datetime64_unit(object obj) nogil: # <<<<<<<<<<<<<<
10389  * """
10390  * returns the unit part of the dtype for a numpy datetime64 object.
10391  */
10392 
10393  /* function exit code */
10394  __pyx_L0:;
10395  return __pyx_r;
10396 }
10397 
10398 static PyMethodDef __pyx_methods[] = {
10399  {0, 0, 0, 0}
10400 };
10401 
10402 #if PY_MAJOR_VERSION >= 3
10403 #if CYTHON_PEP489_MULTI_PHASE_INIT
10404 static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
10405 static int __pyx_pymod_exec_canalyticalSolutions(PyObject* module); /*proto*/
10406 static PyModuleDef_Slot __pyx_moduledef_slots[] = {
10407  {Py_mod_create, (void*)__pyx_pymod_create},
10408  {Py_mod_exec, (void*)__pyx_pymod_exec_canalyticalSolutions},
10409  {0, NULL}
10410 };
10411 #endif
10412 
10413 static struct PyModuleDef __pyx_moduledef = {
10414  PyModuleDef_HEAD_INIT,
10415  "canalyticalSolutions",
10416  0, /* m_doc */
10417  #if CYTHON_PEP489_MULTI_PHASE_INIT
10418  0, /* m_size */
10419  #else
10420  -1, /* m_size */
10421  #endif
10422  __pyx_methods /* m_methods */,
10423  #if CYTHON_PEP489_MULTI_PHASE_INIT
10424  __pyx_moduledef_slots, /* m_slots */
10425  #else
10426  NULL, /* m_reload */
10427  #endif
10428  NULL, /* m_traverse */
10429  NULL, /* m_clear */
10430  NULL /* m_free */
10431 };
10432 #endif
10433 #ifndef CYTHON_SMALL_CODE
10434 #if defined(__clang__)
10435  #define CYTHON_SMALL_CODE
10436 #elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
10437  #define CYTHON_SMALL_CODE __attribute__((cold))
10438 #else
10439  #define CYTHON_SMALL_CODE
10440 #endif
10441 #endif
10442 
10443 static __Pyx_StringTabEntry __pyx_string_tab[] = {
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10445  {&__pyx_n_s_LinearADR_Decay_DiracIC, __pyx_k_LinearADR_Decay_DiracIC, sizeof(__pyx_k_LinearADR_Decay_DiracIC), 0, 0, 1, 1},
10446  {&__pyx_n_s_LinearADR_Decay_DiracIC_dr, __pyx_k_LinearADR_Decay_DiracIC_dr, sizeof(__pyx_k_LinearADR_Decay_DiracIC_dr), 0, 0, 1, 1},
10447  {&__pyx_n_s_LinearADR_Decay_DiracIC_r, __pyx_k_LinearADR_Decay_DiracIC_r, sizeof(__pyx_k_LinearADR_Decay_DiracIC_r), 0, 0, 1, 1},
10448  {&__pyx_n_s_LinearADR_Sine, __pyx_k_LinearADR_Sine, sizeof(__pyx_k_LinearADR_Sine), 0, 0, 1, 1},
10449  {&__pyx_n_s_LinearADR_Sine_advectiveVelocity, __pyx_k_LinearADR_Sine_advectiveVelocity, sizeof(__pyx_k_LinearADR_Sine_advectiveVelocity), 0, 0, 1, 1},
10450  {&__pyx_n_s_LinearADR_Sine_diffusiveVelocity, __pyx_k_LinearADR_Sine_diffusiveVelocity, sizeof(__pyx_k_LinearADR_Sine_diffusiveVelocity), 0, 0, 1, 1},
10451  {&__pyx_n_s_LinearADR_Sine_dr, __pyx_k_LinearADR_Sine_dr, sizeof(__pyx_k_LinearADR_Sine_dr), 0, 0, 1, 1},
10452  {&__pyx_n_s_LinearADR_Sine_du, __pyx_k_LinearADR_Sine_du, sizeof(__pyx_k_LinearADR_Sine_du), 0, 0, 1, 1},
10453  {&__pyx_n_s_LinearADR_Sine_r, __pyx_k_LinearADR_Sine_r, sizeof(__pyx_k_LinearADR_Sine_r), 0, 0, 1, 1},
10454  {&__pyx_n_s_LinearADR_Sine_totalVelocity, __pyx_k_LinearADR_Sine_totalVelocity, sizeof(__pyx_k_LinearADR_Sine_totalVelocity), 0, 0, 1, 1},
10455  {&__pyx_n_s_LinearAD_DiracIC, __pyx_k_LinearAD_DiracIC, sizeof(__pyx_k_LinearAD_DiracIC), 0, 0, 1, 1},
10456  {&__pyx_n_s_LinearAD_DiracIC_advectiveVeloci, __pyx_k_LinearAD_DiracIC_advectiveVeloci, sizeof(__pyx_k_LinearAD_DiracIC_advectiveVeloci), 0, 0, 1, 1},
10457  {&__pyx_n_s_LinearAD_DiracIC_diffusiveVeloci, __pyx_k_LinearAD_DiracIC_diffusiveVeloci, sizeof(__pyx_k_LinearAD_DiracIC_diffusiveVeloci), 0, 0, 1, 1},
10458  {&__pyx_n_s_LinearAD_DiracIC_du, __pyx_k_LinearAD_DiracIC_du, sizeof(__pyx_k_LinearAD_DiracIC_du), 0, 0, 1, 1},
10459  {&__pyx_n_s_LinearAD_DiracIC_totalVelocity, __pyx_k_LinearAD_DiracIC_totalVelocity, sizeof(__pyx_k_LinearAD_DiracIC_totalVelocity), 0, 0, 1, 1},
10460  {&__pyx_n_s_LinearAD_SteadyState, __pyx_k_LinearAD_SteadyState, sizeof(__pyx_k_LinearAD_SteadyState), 0, 0, 1, 1},
10461  {&__pyx_n_s_NonlinearADR_Decay_DiracIC, __pyx_k_NonlinearADR_Decay_DiracIC, sizeof(__pyx_k_NonlinearADR_Decay_DiracIC), 0, 0, 1, 1},
10462  {&__pyx_n_s_NonlinearADR_Decay_DiracIC_dr, __pyx_k_NonlinearADR_Decay_DiracIC_dr, sizeof(__pyx_k_NonlinearADR_Decay_DiracIC_dr), 0, 0, 1, 1},
10463  {&__pyx_n_s_NonlinearADR_Decay_DiracIC_r, __pyx_k_NonlinearADR_Decay_DiracIC_r, sizeof(__pyx_k_NonlinearADR_Decay_DiracIC_r), 0, 0, 1, 1},
10464  {&__pyx_n_s_NonlinearAD_SteadyState, __pyx_k_NonlinearAD_SteadyState, sizeof(__pyx_k_NonlinearAD_SteadyState), 0, 0, 1, 1},
10465  {&__pyx_n_s_NonlinearDAE, __pyx_k_NonlinearDAE, sizeof(__pyx_k_NonlinearDAE), 0, 0, 1, 1},
10466  {&__pyx_n_s_NonlinearDAE_f, __pyx_k_NonlinearDAE_f, sizeof(__pyx_k_NonlinearDAE_f), 0, 0, 1, 1},
10467  {&__pyx_n_s_PlaneCouetteFlow_u, __pyx_k_PlaneCouetteFlow_u, sizeof(__pyx_k_PlaneCouetteFlow_u), 0, 0, 1, 1},
10468  {&__pyx_n_s_PlanePoiseuilleFlow_u, __pyx_k_PlanePoiseuilleFlow_u, sizeof(__pyx_k_PlanePoiseuilleFlow_u), 0, 0, 1, 1},
10469  {&__pyx_n_s_PoiseuillePipeFlow, __pyx_k_PoiseuillePipeFlow, sizeof(__pyx_k_PoiseuillePipeFlow), 0, 0, 1, 1},
10470  {&__pyx_n_s_PoiseuillePipeFlow_P, __pyx_k_PoiseuillePipeFlow_P, sizeof(__pyx_k_PoiseuillePipeFlow_P), 0, 0, 1, 1},
10471  {&__pyx_n_s_STflowSphere_P, __pyx_k_STflowSphere_P, sizeof(__pyx_k_STflowSphere_P), 0, 0, 1, 1},
10472  {&__pyx_n_s_STflowSphere_Vx, __pyx_k_STflowSphere_Vx, sizeof(__pyx_k_STflowSphere_Vx), 0, 0, 1, 1},
10473  {&__pyx_n_s_STflowSphere_Vy, __pyx_k_STflowSphere_Vy, sizeof(__pyx_k_STflowSphere_Vy), 0, 0, 1, 1},
10474  {&__pyx_n_s_STflowSphere_Vz, __pyx_k_STflowSphere_Vz, sizeof(__pyx_k_STflowSphere_Vz), 0, 0, 1, 1},
10475  {&__pyx_n_s_canalyticalSolutions, __pyx_k_canalyticalSolutions, sizeof(__pyx_k_canalyticalSolutions), 0, 0, 1, 1},
10476  {&__pyx_n_s_cline_in_traceback, __pyx_k_cline_in_traceback, sizeof(__pyx_k_cline_in_traceback), 0, 0, 1, 1},
10477  {&__pyx_n_s_diffusionSin1D, __pyx_k_diffusionSin1D, sizeof(__pyx_k_diffusionSin1D), 0, 0, 1, 1},
10478  {&__pyx_n_s_diffusionSin1D_r, __pyx_k_diffusionSin1D_r, sizeof(__pyx_k_diffusionSin1D_r), 0, 0, 1, 1},
10479  {&__pyx_n_s_diffusionSin2D, __pyx_k_diffusionSin2D, sizeof(__pyx_k_diffusionSin2D), 0, 0, 1, 1},
10480  {&__pyx_n_s_diffusionSin2D_r, __pyx_k_diffusionSin2D_r, sizeof(__pyx_k_diffusionSin2D_r), 0, 0, 1, 1},
10481  {&__pyx_n_s_diffusionSin3D, __pyx_k_diffusionSin3D, sizeof(__pyx_k_diffusionSin3D), 0, 0, 1, 1},
10482  {&__pyx_n_s_diffusionSin3D_r, __pyx_k_diffusionSin3D_r, sizeof(__pyx_k_diffusionSin3D_r), 0, 0, 1, 1},
10483  {&__pyx_n_s_dr, __pyx_k_dr, sizeof(__pyx_k_dr), 0, 0, 1, 1},
10484  {&__pyx_n_s_du, __pyx_k_du, sizeof(__pyx_k_du), 0, 0, 1, 1},
10485  {&__pyx_n_s_f, __pyx_k_f, sizeof(__pyx_k_f), 0, 0, 1, 1},
10486  {&__pyx_n_s_import, __pyx_k_import, sizeof(__pyx_k_import), 0, 0, 1, 1},
10487  {&__pyx_n_s_iwork, __pyx_k_iwork, sizeof(__pyx_k_iwork), 0, 0, 1, 1},
10488  {&__pyx_n_s_main, __pyx_k_main, sizeof(__pyx_k_main), 0, 0, 1, 1},
10489  {&__pyx_n_s_name, __pyx_k_name, sizeof(__pyx_k_name), 0, 0, 1, 1},
10490  {&__pyx_n_s_np, __pyx_k_np, sizeof(__pyx_k_np), 0, 0, 1, 1},
10491  {&__pyx_n_s_numpy, __pyx_k_numpy, sizeof(__pyx_k_numpy), 0, 0, 1, 1},
10492  {&__pyx_kp_s_numpy_core_multiarray_failed_to, __pyx_k_numpy_core_multiarray_failed_to, sizeof(__pyx_k_numpy_core_multiarray_failed_to), 0, 0, 1, 0},
10493  {&__pyx_kp_s_numpy_core_umath_failed_to_impor, __pyx_k_numpy_core_umath_failed_to_impor, sizeof(__pyx_k_numpy_core_umath_failed_to_impor), 0, 0, 1, 0},
10494  {&__pyx_n_s_poissonsEquationExp1D, __pyx_k_poissonsEquationExp1D, sizeof(__pyx_k_poissonsEquationExp1D), 0, 0, 1, 1},
10495  {&__pyx_n_s_poissonsEquationExp1D_r, __pyx_k_poissonsEquationExp1D_r, sizeof(__pyx_k_poissonsEquationExp1D_r), 0, 0, 1, 1},
10496  {&__pyx_n_s_poissonsEquationExp2D, __pyx_k_poissonsEquationExp2D, sizeof(__pyx_k_poissonsEquationExp2D), 0, 0, 1, 1},
10497  {&__pyx_n_s_poissonsEquationExp2D_r, __pyx_k_poissonsEquationExp2D_r, sizeof(__pyx_k_poissonsEquationExp2D_r), 0, 0, 1, 1},
10498  {&__pyx_n_s_poissonsEquationExp3D, __pyx_k_poissonsEquationExp3D, sizeof(__pyx_k_poissonsEquationExp3D), 0, 0, 1, 1},
10499  {&__pyx_n_s_poissonsEquationExp3D_dr, __pyx_k_poissonsEquationExp3D_dr, sizeof(__pyx_k_poissonsEquationExp3D_dr), 0, 0, 1, 1},
10500  {&__pyx_n_s_poissonsEquationExp3D_r, __pyx_k_poissonsEquationExp3D_r, sizeof(__pyx_k_poissonsEquationExp3D_r), 0, 0, 1, 1},
10501  {&__pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_k_proteus_canalyticalSolutions_pyx, sizeof(__pyx_k_proteus_canalyticalSolutions_pyx), 0, 0, 1, 0},
10502  {&__pyx_n_s_r, __pyx_k_r, sizeof(__pyx_k_r), 0, 0, 1, 1},
10503  {&__pyx_n_s_rwork, __pyx_k_rwork, sizeof(__pyx_k_rwork), 0, 0, 1, 1},
10504  {&__pyx_n_s_size, __pyx_k_size, sizeof(__pyx_k_size), 0, 0, 1, 1},
10505  {&__pyx_n_s_t, __pyx_k_t, sizeof(__pyx_k_t), 0, 0, 1, 1},
10506  {&__pyx_n_s_test, __pyx_k_test, sizeof(__pyx_k_test), 0, 0, 1, 1},
10507  {&__pyx_n_s_u, __pyx_k_u, sizeof(__pyx_k_u), 0, 0, 1, 1},
10508  {&__pyx_n_s_x, __pyx_k_x, sizeof(__pyx_k_x), 0, 0, 1, 1},
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10510 };
10511 static CYTHON_SMALL_CODE int __Pyx_InitCachedBuiltins(void) {
10512  __pyx_builtin_ImportError = __Pyx_GetBuiltinName(__pyx_n_s_ImportError); if (!__pyx_builtin_ImportError) __PYX_ERR(1, 945, __pyx_L1_error)
10513  return 0;
10514  __pyx_L1_error:;
10515  return -1;
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10517 
10518 static CYTHON_SMALL_CODE int __Pyx_InitCachedConstants(void) {
10519  __Pyx_RefNannyDeclarations
10520  __Pyx_RefNannySetupContext("__Pyx_InitCachedConstants", 0);
10521 
10522  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":945
10523  * __pyx_import_array()
10524  * except Exception:
10525  * raise ImportError("numpy.core.multiarray failed to import") # <<<<<<<<<<<<<<
10526  *
10527  * cdef inline int import_umath() except -1:
10528  */
10529  __pyx_tuple_ = PyTuple_Pack(1, __pyx_kp_s_numpy_core_multiarray_failed_to); if (unlikely(!__pyx_tuple_)) __PYX_ERR(1, 945, __pyx_L1_error)
10530  __Pyx_GOTREF(__pyx_tuple_);
10531  __Pyx_GIVEREF(__pyx_tuple_);
10532 
10533  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":951
10534  * _import_umath()
10535  * except Exception:
10536  * raise ImportError("numpy.core.umath failed to import") # <<<<<<<<<<<<<<
10537  *
10538  * cdef inline int import_ufunc() except -1:
10539  */
10540  __pyx_tuple__2 = PyTuple_Pack(1, __pyx_kp_s_numpy_core_umath_failed_to_impor); if (unlikely(!__pyx_tuple__2)) __PYX_ERR(1, 951, __pyx_L1_error)
10541  __Pyx_GOTREF(__pyx_tuple__2);
10542  __Pyx_GIVEREF(__pyx_tuple__2);
10543 
10544  /* "canalyticalSolutions.pyx":50
10545  *
10546  *
10547  * def PlaneCouetteFlow_u(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10548  * return cPlaneCouetteFlow_u( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10549  *
10550  */
10551  __pyx_tuple__3 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__3)) __PYX_ERR(0, 50, __pyx_L1_error)
10552  __Pyx_GOTREF(__pyx_tuple__3);
10553  __Pyx_GIVEREF(__pyx_tuple__3);
10554  __pyx_codeobj__4 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__3, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_PlaneCouetteFlow_u, 50, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__4)) __PYX_ERR(0, 50, __pyx_L1_error)
10555 
10556  /* "canalyticalSolutions.pyx":54
10557  *
10558  *
10559  * def diffusionSin1D(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10560  * return cdiffusionSin1D( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10561  *
10562  */
10563  __pyx_tuple__5 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__5)) __PYX_ERR(0, 54, __pyx_L1_error)
10564  __Pyx_GOTREF(__pyx_tuple__5);
10565  __Pyx_GIVEREF(__pyx_tuple__5);
10566  __pyx_codeobj__6 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__5, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_diffusionSin1D, 54, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__6)) __PYX_ERR(0, 54, __pyx_L1_error)
10567 
10568  /* "canalyticalSolutions.pyx":58
10569  *
10570  *
10571  * def diffusionSin2D(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10572  * return cdiffusionSin2D( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10573  *
10574  */
10575  __pyx_tuple__7 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__7)) __PYX_ERR(0, 58, __pyx_L1_error)
10576  __Pyx_GOTREF(__pyx_tuple__7);
10577  __Pyx_GIVEREF(__pyx_tuple__7);
10578  __pyx_codeobj__8 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__7, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_diffusionSin2D, 58, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__8)) __PYX_ERR(0, 58, __pyx_L1_error)
10579 
10580  /* "canalyticalSolutions.pyx":62
10581  *
10582  *
10583  * def diffusionSin3D(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10584  * return cdiffusionSin3D( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10585  *
10586  */
10587  __pyx_tuple__9 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__9)) __PYX_ERR(0, 62, __pyx_L1_error)
10588  __Pyx_GOTREF(__pyx_tuple__9);
10589  __Pyx_GIVEREF(__pyx_tuple__9);
10590  __pyx_codeobj__10 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__9, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_diffusionSin3D, 62, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__10)) __PYX_ERR(0, 62, __pyx_L1_error)
10591 
10592  /* "canalyticalSolutions.pyx":66
10593  *
10594  *
10595  * def diffusionSin1D_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
10596  * return cdiffusionSin1D_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
10597  *
10598  */
10599  __pyx_tuple__11 = PyTuple_Pack(6, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u, __pyx_n_s_r); if (unlikely(!__pyx_tuple__11)) __PYX_ERR(0, 66, __pyx_L1_error)
10600  __Pyx_GOTREF(__pyx_tuple__11);
10601  __Pyx_GIVEREF(__pyx_tuple__11);
10602  __pyx_codeobj__12 = (PyObject*)__Pyx_PyCode_New(6, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__11, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_diffusionSin1D_r, 66, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__12)) __PYX_ERR(0, 66, __pyx_L1_error)
10603 
10604  /* "canalyticalSolutions.pyx":70
10605  *
10606  *
10607  * def diffusionSin2D_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
10608  * return cdiffusionSin2D_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
10609  *
10610  */
10611  __pyx_tuple__13 = PyTuple_Pack(6, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u, __pyx_n_s_r); if (unlikely(!__pyx_tuple__13)) __PYX_ERR(0, 70, __pyx_L1_error)
10612  __Pyx_GOTREF(__pyx_tuple__13);
10613  __Pyx_GIVEREF(__pyx_tuple__13);
10614  __pyx_codeobj__14 = (PyObject*)__Pyx_PyCode_New(6, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__13, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_diffusionSin2D_r, 70, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__14)) __PYX_ERR(0, 70, __pyx_L1_error)
10615 
10616  /* "canalyticalSolutions.pyx":74
10617  *
10618  *
10619  * def diffusionSin3D_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
10620  * return cdiffusionSin3D_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
10621  *
10622  */
10623  __pyx_tuple__15 = PyTuple_Pack(6, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u, __pyx_n_s_r); if (unlikely(!__pyx_tuple__15)) __PYX_ERR(0, 74, __pyx_L1_error)
10624  __Pyx_GOTREF(__pyx_tuple__15);
10625  __Pyx_GIVEREF(__pyx_tuple__15);
10626  __pyx_codeobj__16 = (PyObject*)__Pyx_PyCode_New(6, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__15, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_diffusionSin3D_r, 74, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__16)) __PYX_ERR(0, 74, __pyx_L1_error)
10627 
10628  /* "canalyticalSolutions.pyx":78
10629  *
10630  *
10631  * def LinearAD_DiracIC(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10632  * return cLinearAD_DiracIC( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10633  *
10634  */
10635  __pyx_tuple__17 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__17)) __PYX_ERR(0, 78, __pyx_L1_error)
10636  __Pyx_GOTREF(__pyx_tuple__17);
10637  __Pyx_GIVEREF(__pyx_tuple__17);
10638  __pyx_codeobj__18 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__17, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearAD_DiracIC, 78, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__18)) __PYX_ERR(0, 78, __pyx_L1_error)
10639 
10640  /* "canalyticalSolutions.pyx":82
10641  *
10642  *
10643  * def LinearAD_DiracIC_advectiveVelocity(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray f) -> int: # <<<<<<<<<<<<<<
10644  * return cLinearAD_DiracIC_advectiveVelocity( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > f.data)
10645  *
10646  */
10647  __pyx_tuple__19 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_f); if (unlikely(!__pyx_tuple__19)) __PYX_ERR(0, 82, __pyx_L1_error)
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10649  __Pyx_GIVEREF(__pyx_tuple__19);
10650  __pyx_codeobj__20 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__19, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearAD_DiracIC_advectiveVeloci, 82, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__20)) __PYX_ERR(0, 82, __pyx_L1_error)
10651 
10652  /* "canalyticalSolutions.pyx":86
10653  *
10654  *
10655  * def LinearAD_DiracIC_diffusiveVelocity(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray f) -> int: # <<<<<<<<<<<<<<
10656  * return cLinearAD_DiracIC_diffusiveVelocity( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > f.data)
10657  *
10658  */
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10660  __Pyx_GOTREF(__pyx_tuple__21);
10661  __Pyx_GIVEREF(__pyx_tuple__21);
10662  __pyx_codeobj__22 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__21, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearAD_DiracIC_diffusiveVeloci, 86, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__22)) __PYX_ERR(0, 86, __pyx_L1_error)
10663 
10664  /* "canalyticalSolutions.pyx":90
10665  *
10666  *
10667  * def LinearAD_DiracIC_du(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray du) -> int: # <<<<<<<<<<<<<<
10668  * return cLinearAD_DiracIC_du( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > du.data)
10669  *
10670  */
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10672  __Pyx_GOTREF(__pyx_tuple__23);
10673  __Pyx_GIVEREF(__pyx_tuple__23);
10674  __pyx_codeobj__24 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__23, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearAD_DiracIC_du, 90, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__24)) __PYX_ERR(0, 90, __pyx_L1_error)
10675 
10676  /* "canalyticalSolutions.pyx":94
10677  *
10678  *
10679  * def LinearAD_DiracIC_totalVelocity(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10680  * return cLinearAD_DiracIC_totalVelocity( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10681  *
10682  */
10683  __pyx_tuple__25 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__25)) __PYX_ERR(0, 94, __pyx_L1_error)
10684  __Pyx_GOTREF(__pyx_tuple__25);
10685  __Pyx_GIVEREF(__pyx_tuple__25);
10686  __pyx_codeobj__26 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__25, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearAD_DiracIC_totalVelocity, 94, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__26)) __PYX_ERR(0, 94, __pyx_L1_error)
10687 
10688  /* "canalyticalSolutions.pyx":98
10689  *
10690  *
10691  * def LinearAD_SteadyState(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10692  * return cLinearAD_SteadyState( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10693  *
10694  */
10695  __pyx_tuple__27 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__27)) __PYX_ERR(0, 98, __pyx_L1_error)
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10699 
10700  /* "canalyticalSolutions.pyx":102
10701  *
10702  *
10703  * def LinearADR_Decay_DiracIC(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10704  * return cLinearADR_Decay_DiracIC( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10705  *
10706  */
10707  __pyx_tuple__29 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__29)) __PYX_ERR(0, 102, __pyx_L1_error)
10708  __Pyx_GOTREF(__pyx_tuple__29);
10709  __Pyx_GIVEREF(__pyx_tuple__29);
10710  __pyx_codeobj__30 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__29, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearADR_Decay_DiracIC, 102, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__30)) __PYX_ERR(0, 102, __pyx_L1_error)
10711 
10712  /* "canalyticalSolutions.pyx":106
10713  *
10714  *
10715  * def LinearADR_Decay_DiracIC_dr(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray dr) -> int: # <<<<<<<<<<<<<<
10716  * return cLinearADR_Decay_DiracIC_dr( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > dr.data)
10717  *
10718  */
10719  __pyx_tuple__31 = PyTuple_Pack(6, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u, __pyx_n_s_dr); if (unlikely(!__pyx_tuple__31)) __PYX_ERR(0, 106, __pyx_L1_error)
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10721  __Pyx_GIVEREF(__pyx_tuple__31);
10722  __pyx_codeobj__32 = (PyObject*)__Pyx_PyCode_New(6, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__31, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearADR_Decay_DiracIC_dr, 106, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__32)) __PYX_ERR(0, 106, __pyx_L1_error)
10723 
10724  /* "canalyticalSolutions.pyx":110
10725  *
10726  *
10727  * def LinearADR_Decay_DiracIC_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
10728  * return cLinearADR_Decay_DiracIC_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
10729  *
10730  */
10731  __pyx_tuple__33 = PyTuple_Pack(6, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u, __pyx_n_s_r); if (unlikely(!__pyx_tuple__33)) __PYX_ERR(0, 110, __pyx_L1_error)
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10733  __Pyx_GIVEREF(__pyx_tuple__33);
10734  __pyx_codeobj__34 = (PyObject*)__Pyx_PyCode_New(6, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__33, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearADR_Decay_DiracIC_r, 110, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__34)) __PYX_ERR(0, 110, __pyx_L1_error)
10735 
10736  /* "canalyticalSolutions.pyx":114
10737  *
10738  *
10739  * def LinearADR_Sine(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10740  * return cLinearADR_Sine( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10741  *
10742  */
10743  __pyx_tuple__35 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__35)) __PYX_ERR(0, 114, __pyx_L1_error)
10744  __Pyx_GOTREF(__pyx_tuple__35);
10745  __Pyx_GIVEREF(__pyx_tuple__35);
10746  __pyx_codeobj__36 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__35, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearADR_Sine, 114, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__36)) __PYX_ERR(0, 114, __pyx_L1_error)
10747 
10748  /* "canalyticalSolutions.pyx":118
10749  *
10750  *
10751  * def LinearADR_Sine_advectiveVelocity(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray f) -> int: # <<<<<<<<<<<<<<
10752  * return cLinearADR_Sine_advectiveVelocity( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > f.data)
10753  *
10754  */
10755  __pyx_tuple__37 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_f); if (unlikely(!__pyx_tuple__37)) __PYX_ERR(0, 118, __pyx_L1_error)
10756  __Pyx_GOTREF(__pyx_tuple__37);
10757  __Pyx_GIVEREF(__pyx_tuple__37);
10758  __pyx_codeobj__38 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__37, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearADR_Sine_advectiveVelocity, 118, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__38)) __PYX_ERR(0, 118, __pyx_L1_error)
10759 
10760  /* "canalyticalSolutions.pyx":122
10761  *
10762  *
10763  * def LinearADR_Sine_diffusiveVelocity(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray f) -> int: # <<<<<<<<<<<<<<
10764  * return cLinearADR_Sine_diffusiveVelocity( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > f.data)
10765  *
10766  */
10767  __pyx_tuple__39 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_f); if (unlikely(!__pyx_tuple__39)) __PYX_ERR(0, 122, __pyx_L1_error)
10768  __Pyx_GOTREF(__pyx_tuple__39);
10769  __Pyx_GIVEREF(__pyx_tuple__39);
10770  __pyx_codeobj__40 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__39, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearADR_Sine_diffusiveVelocity, 122, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__40)) __PYX_ERR(0, 122, __pyx_L1_error)
10771 
10772  /* "canalyticalSolutions.pyx":126
10773  *
10774  *
10775  * def LinearADR_Sine_dr(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray dr) -> int: # <<<<<<<<<<<<<<
10776  * return cLinearADR_Sine_dr( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > dr.data)
10777  *
10778  */
10779  __pyx_tuple__41 = PyTuple_Pack(6, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u, __pyx_n_s_dr); if (unlikely(!__pyx_tuple__41)) __PYX_ERR(0, 126, __pyx_L1_error)
10780  __Pyx_GOTREF(__pyx_tuple__41);
10781  __Pyx_GIVEREF(__pyx_tuple__41);
10782  __pyx_codeobj__42 = (PyObject*)__Pyx_PyCode_New(6, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__41, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearADR_Sine_dr, 126, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__42)) __PYX_ERR(0, 126, __pyx_L1_error)
10783 
10784  /* "canalyticalSolutions.pyx":130
10785  *
10786  *
10787  * def LinearADR_Sine_du(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray du) -> int: # <<<<<<<<<<<<<<
10788  * return cLinearADR_Sine_du( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > du.data)
10789  *
10790  */
10791  __pyx_tuple__43 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_du); if (unlikely(!__pyx_tuple__43)) __PYX_ERR(0, 130, __pyx_L1_error)
10792  __Pyx_GOTREF(__pyx_tuple__43);
10793  __Pyx_GIVEREF(__pyx_tuple__43);
10794  __pyx_codeobj__44 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__43, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearADR_Sine_du, 130, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__44)) __PYX_ERR(0, 130, __pyx_L1_error)
10795 
10796  /* "canalyticalSolutions.pyx":134
10797  *
10798  *
10799  * def LinearADR_Sine_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
10800  * return cLinearADR_Sine_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
10801  *
10802  */
10803  __pyx_tuple__45 = PyTuple_Pack(6, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u, __pyx_n_s_r); if (unlikely(!__pyx_tuple__45)) __PYX_ERR(0, 134, __pyx_L1_error)
10804  __Pyx_GOTREF(__pyx_tuple__45);
10805  __Pyx_GIVEREF(__pyx_tuple__45);
10806  __pyx_codeobj__46 = (PyObject*)__Pyx_PyCode_New(6, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__45, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearADR_Sine_r, 134, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__46)) __PYX_ERR(0, 134, __pyx_L1_error)
10807 
10808  /* "canalyticalSolutions.pyx":138
10809  *
10810  *
10811  * def LinearADR_Sine_totalVelocity(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10812  * return cLinearADR_Sine_totalVelocity( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10813  *
10814  */
10815  __pyx_tuple__47 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__47)) __PYX_ERR(0, 138, __pyx_L1_error)
10816  __Pyx_GOTREF(__pyx_tuple__47);
10817  __Pyx_GIVEREF(__pyx_tuple__47);
10818  __pyx_codeobj__48 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__47, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_LinearADR_Sine_totalVelocity, 138, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__48)) __PYX_ERR(0, 138, __pyx_L1_error)
10819 
10820  /* "canalyticalSolutions.pyx":142
10821  *
10822  *
10823  * def NonlinearAD_SteadyState(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10824  * return cNonlinearAD_SteadyState( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10825  *
10826  */
10827  __pyx_tuple__49 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__49)) __PYX_ERR(0, 142, __pyx_L1_error)
10828  __Pyx_GOTREF(__pyx_tuple__49);
10829  __Pyx_GIVEREF(__pyx_tuple__49);
10830  __pyx_codeobj__50 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__49, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_NonlinearAD_SteadyState, 142, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__50)) __PYX_ERR(0, 142, __pyx_L1_error)
10831 
10832  /* "canalyticalSolutions.pyx":146
10833  *
10834  *
10835  * def NonlinearADR_Decay_DiracIC(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10836  * return cNonlinearADR_Decay_DiracIC( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10837  *
10838  */
10839  __pyx_tuple__51 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__51)) __PYX_ERR(0, 146, __pyx_L1_error)
10840  __Pyx_GOTREF(__pyx_tuple__51);
10841  __Pyx_GIVEREF(__pyx_tuple__51);
10842  __pyx_codeobj__52 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__51, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_NonlinearADR_Decay_DiracIC, 146, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__52)) __PYX_ERR(0, 146, __pyx_L1_error)
10843 
10844  /* "canalyticalSolutions.pyx":150
10845  *
10846  *
10847  * def NonlinearADR_Decay_DiracIC_dr(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray dr) -> int: # <<<<<<<<<<<<<<
10848  * return cNonlinearADR_Decay_DiracIC_dr( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > dr.data)
10849  *
10850  */
10851  __pyx_tuple__53 = PyTuple_Pack(6, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u, __pyx_n_s_dr); if (unlikely(!__pyx_tuple__53)) __PYX_ERR(0, 150, __pyx_L1_error)
10852  __Pyx_GOTREF(__pyx_tuple__53);
10853  __Pyx_GIVEREF(__pyx_tuple__53);
10854  __pyx_codeobj__54 = (PyObject*)__Pyx_PyCode_New(6, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__53, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_NonlinearADR_Decay_DiracIC_dr, 150, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__54)) __PYX_ERR(0, 150, __pyx_L1_error)
10855 
10856  /* "canalyticalSolutions.pyx":154
10857  *
10858  *
10859  * def NonlinearADR_Decay_DiracIC_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
10860  * return cNonlinearADR_Decay_DiracIC_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
10861  *
10862  */
10863  __pyx_tuple__55 = PyTuple_Pack(6, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u, __pyx_n_s_r); if (unlikely(!__pyx_tuple__55)) __PYX_ERR(0, 154, __pyx_L1_error)
10864  __Pyx_GOTREF(__pyx_tuple__55);
10865  __Pyx_GIVEREF(__pyx_tuple__55);
10866  __pyx_codeobj__56 = (PyObject*)__Pyx_PyCode_New(6, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__55, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_NonlinearADR_Decay_DiracIC_r, 154, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__56)) __PYX_ERR(0, 154, __pyx_L1_error)
10867 
10868  /* "canalyticalSolutions.pyx":158
10869  *
10870  *
10871  * def NonlinearDAE(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10872  * return cNonlinearDAE( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10873  *
10874  */
10875  __pyx_tuple__57 = PyTuple_Pack(5, __pyx_n_s_iwork, __pyx_n_s_rwork, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_u); if (unlikely(!__pyx_tuple__57)) __PYX_ERR(0, 158, __pyx_L1_error)
10876  __Pyx_GOTREF(__pyx_tuple__57);
10877  __Pyx_GIVEREF(__pyx_tuple__57);
10878  __pyx_codeobj__58 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__57, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_canalyticalSolutions_pyx, __pyx_n_s_NonlinearDAE, 158, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__58)) __PYX_ERR(0, 158, __pyx_L1_error)
10879 
10880  /* "canalyticalSolutions.pyx":162
10881  *
10882  *
10883  * def NonlinearDAE_f(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10884  * return cNonlinearDAE_f( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10885  *
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10891 
10892  /* "canalyticalSolutions.pyx":166
10893  *
10894  *
10895  * def PlanePoiseuilleFlow_u(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10896  * return cPlanePoiseuilleFlow_u( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10897  *
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10903 
10904  /* "canalyticalSolutions.pyx":170
10905  *
10906  *
10907  * def PoiseuillePipeFlow(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10908  * return cPoiseuillePipeFlow( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10909  *
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10915 
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10917  *
10918  *
10919  * def PoiseuillePipeFlow_P(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
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10927 
10928  /* "canalyticalSolutions.pyx":178
10929  *
10930  *
10931  * def poissonsEquationExp1D(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
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10933  *
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10939 
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10941  *
10942  *
10943  * def poissonsEquationExp2D(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10944  * return cpoissonsEquationExp2D( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
10945  *
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10951 
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10953  *
10954  *
10955  * def poissonsEquationExp3D(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
10956  * return cpoissonsEquationExp3D( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
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10965  *
10966  *
10967  * def poissonsEquationExp3D_dr(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray dr) -> int: # <<<<<<<<<<<<<<
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10977  *
10978  *
10979  * def poissonsEquationExp1D_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
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10989  *
10990  *
10991  * def poissonsEquationExp2D_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
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11124  sizeof(PyTypeObject),
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11180 static int __Pyx_modinit_function_import_code(void) {
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11187 
11188 
11189 #ifndef CYTHON_NO_PYINIT_EXPORT
11190 #define __Pyx_PyMODINIT_FUNC PyMODINIT_FUNC
11191 #elif PY_MAJOR_VERSION < 3
11192 #ifdef __cplusplus
11193 #define __Pyx_PyMODINIT_FUNC extern "C" void
11194 #else
11195 #define __Pyx_PyMODINIT_FUNC void
11196 #endif
11197 #else
11198 #ifdef __cplusplus
11199 #define __Pyx_PyMODINIT_FUNC extern "C" PyObject *
11200 #else
11201 #define __Pyx_PyMODINIT_FUNC PyObject *
11202 #endif
11203 #endif
11204 
11205 
11206 #if PY_MAJOR_VERSION < 3
11207 __Pyx_PyMODINIT_FUNC initcanalyticalSolutions(void) CYTHON_SMALL_CODE; /*proto*/
11208 __Pyx_PyMODINIT_FUNC initcanalyticalSolutions(void)
11209 #else
11210 __Pyx_PyMODINIT_FUNC PyInit_canalyticalSolutions(void) CYTHON_SMALL_CODE; /*proto*/
11211 __Pyx_PyMODINIT_FUNC PyInit_canalyticalSolutions(void)
11212 #if CYTHON_PEP489_MULTI_PHASE_INIT
11213 {
11214  return PyModuleDef_Init(&__pyx_moduledef);
11215 }
11216 static CYTHON_SMALL_CODE int __Pyx_check_single_interpreter(void) {
11217  #if PY_VERSION_HEX >= 0x030700A1
11218  static PY_INT64_T main_interpreter_id = -1;
11219  PY_INT64_T current_id = PyInterpreterState_GetID(PyThreadState_Get()->interp);
11220  if (main_interpreter_id == -1) {
11221  main_interpreter_id = current_id;
11222  return (unlikely(current_id == -1)) ? -1 : 0;
11223  } else if (unlikely(main_interpreter_id != current_id))
11224  #else
11225  static PyInterpreterState *main_interpreter = NULL;
11226  PyInterpreterState *current_interpreter = PyThreadState_Get()->interp;
11227  if (!main_interpreter) {
11228  main_interpreter = current_interpreter;
11229  } else if (unlikely(main_interpreter != current_interpreter))
11230  #endif
11231  {
11232  PyErr_SetString(
11233  PyExc_ImportError,
11234  "Interpreter change detected - this module can only be loaded into one interpreter per process.");
11235  return -1;
11236  }
11237  return 0;
11238 }
11239 static CYTHON_SMALL_CODE int __Pyx_copy_spec_to_module(PyObject *spec, PyObject *moddict, const char* from_name, const char* to_name, int allow_none) {
11240  PyObject *value = PyObject_GetAttrString(spec, from_name);
11241  int result = 0;
11242  if (likely(value)) {
11243  if (allow_none || value != Py_None) {
11244  result = PyDict_SetItemString(moddict, to_name, value);
11245  }
11246  Py_DECREF(value);
11247  } else if (PyErr_ExceptionMatches(PyExc_AttributeError)) {
11248  PyErr_Clear();
11249  } else {
11250  result = -1;
11251  }
11252  return result;
11253 }
11254 static CYTHON_SMALL_CODE PyObject* __pyx_pymod_create(PyObject *spec, CYTHON_UNUSED PyModuleDef *def) {
11255  PyObject *module = NULL, *moddict, *modname;
11256  if (__Pyx_check_single_interpreter())
11257  return NULL;
11258  if (__pyx_m)
11259  return __Pyx_NewRef(__pyx_m);
11260  modname = PyObject_GetAttrString(spec, "name");
11261  if (unlikely(!modname)) goto bad;
11262  module = PyModule_NewObject(modname);
11263  Py_DECREF(modname);
11264  if (unlikely(!module)) goto bad;
11265  moddict = PyModule_GetDict(module);
11266  if (unlikely(!moddict)) goto bad;
11267  if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "loader", "__loader__", 1) < 0)) goto bad;
11268  if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "origin", "__file__", 1) < 0)) goto bad;
11269  if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "parent", "__package__", 1) < 0)) goto bad;
11270  if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "submodule_search_locations", "__path__", 0) < 0)) goto bad;
11271  return module;
11272 bad:
11273  Py_XDECREF(module);
11274  return NULL;
11275 }
11276 
11277 
11278 static CYTHON_SMALL_CODE int __pyx_pymod_exec_canalyticalSolutions(PyObject *__pyx_pyinit_module)
11279 #endif
11280 #endif
11281 {
11282  PyObject *__pyx_t_1 = NULL;
11283  int __pyx_lineno = 0;
11284  const char *__pyx_filename = NULL;
11285  int __pyx_clineno = 0;
11286  __Pyx_RefNannyDeclarations
11287  #if CYTHON_PEP489_MULTI_PHASE_INIT
11288  if (__pyx_m) {
11289  if (__pyx_m == __pyx_pyinit_module) return 0;
11290  PyErr_SetString(PyExc_RuntimeError, "Module 'canalyticalSolutions' has already been imported. Re-initialisation is not supported.");
11291  return -1;
11292  }
11293  #elif PY_MAJOR_VERSION >= 3
11294  if (__pyx_m) return __Pyx_NewRef(__pyx_m);
11295  #endif
11296  #if CYTHON_REFNANNY
11297 __Pyx_RefNanny = __Pyx_RefNannyImportAPI("refnanny");
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11312  __pyx_empty_unicode = PyUnicode_FromStringAndSize("", 0); if (unlikely(!__pyx_empty_unicode)) __PYX_ERR(0, 1, __pyx_L1_error)
11313  #ifdef __Pyx_CyFunction_USED
11314  if (__pyx_CyFunction_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
11315  #endif
11316  #ifdef __Pyx_FusedFunction_USED
11317  if (__pyx_FusedFunction_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
11318  #endif
11319  #ifdef __Pyx_Coroutine_USED
11320  if (__pyx_Coroutine_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
11321  #endif
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11325  #ifdef __Pyx_AsyncGen_USED
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11327  #endif
11328  #ifdef __Pyx_StopAsyncIteration_USED
11329  if (__pyx_StopAsyncIteration_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
11330  #endif
11331  /*--- Library function declarations ---*/
11332  /*--- Threads initialization code ---*/
11333  #if defined(WITH_THREAD) && PY_VERSION_HEX < 0x030700F0 && defined(__PYX_FORCE_INIT_THREADS) && __PYX_FORCE_INIT_THREADS
11334  PyEval_InitThreads();
11335  #endif
11336  /*--- Module creation code ---*/
11337  #if CYTHON_PEP489_MULTI_PHASE_INIT
11338  __pyx_m = __pyx_pyinit_module;
11339  Py_INCREF(__pyx_m);
11340  #else
11341  #if PY_MAJOR_VERSION < 3
11342  __pyx_m = Py_InitModule4("canalyticalSolutions", __pyx_methods, 0, 0, PYTHON_API_VERSION); Py_XINCREF(__pyx_m);
11343  #else
11344  __pyx_m = PyModule_Create(&__pyx_moduledef);
11345  #endif
11346  if (unlikely(!__pyx_m)) __PYX_ERR(0, 1, __pyx_L1_error)
11347  #endif
11348  __pyx_d = PyModule_GetDict(__pyx_m); if (unlikely(!__pyx_d)) __PYX_ERR(0, 1, __pyx_L1_error)
11349  Py_INCREF(__pyx_d);
11350  __pyx_b = PyImport_AddModule(__Pyx_BUILTIN_MODULE_NAME); if (unlikely(!__pyx_b)) __PYX_ERR(0, 1, __pyx_L1_error)
11351  Py_INCREF(__pyx_b);
11352  __pyx_cython_runtime = PyImport_AddModule((char *) "cython_runtime"); if (unlikely(!__pyx_cython_runtime)) __PYX_ERR(0, 1, __pyx_L1_error)
11353  Py_INCREF(__pyx_cython_runtime);
11354  if (PyObject_SetAttrString(__pyx_m, "__builtins__", __pyx_b) < 0) __PYX_ERR(0, 1, __pyx_L1_error);
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11358  if (__Pyx_init_sys_getdefaultencoding_params() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
11359  #endif
11360  if (__pyx_module_is_main_canalyticalSolutions) {
11361  if (PyObject_SetAttr(__pyx_m, __pyx_n_s_name, __pyx_n_s_main) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
11362  }
11363  #if PY_MAJOR_VERSION >= 3
11364  {
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11368  }
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11370  #endif
11371  /*--- Builtin init code ---*/
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11376  (void)__Pyx_modinit_global_init_code();
11377  (void)__Pyx_modinit_variable_export_code();
11378  (void)__Pyx_modinit_function_export_code();
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11389  * # A type of -*- python -*- file
11390  * import numpy as np # <<<<<<<<<<<<<<
11391  * cimport numpy as np
11392  * cdef extern from "analyticalSolutions.h":
11393  */
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11400  *
11401  *
11402  * def PlaneCouetteFlow_u(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
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11411  /* "canalyticalSolutions.pyx":54
11412  *
11413  *
11414  * def diffusionSin1D(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11415  * return cdiffusionSin1D( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
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11421  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
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11423  /* "canalyticalSolutions.pyx":58
11424  *
11425  *
11426  * def diffusionSin2D(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11427  * return cdiffusionSin2D( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11428  *
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11430  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_5diffusionSin2D, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 58, __pyx_L1_error)
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11433  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11434 
11435  /* "canalyticalSolutions.pyx":62
11436  *
11437  *
11438  * def diffusionSin3D(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11439  * return cdiffusionSin3D( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11440  *
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11442  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_7diffusionSin3D, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 62, __pyx_L1_error)
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11445  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
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11447  /* "canalyticalSolutions.pyx":66
11448  *
11449  *
11450  * def diffusionSin1D_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
11451  * return cdiffusionSin1D_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
11452  *
11453  */
11454  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_9diffusionSin1D_r, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 66, __pyx_L1_error)
11455  __Pyx_GOTREF(__pyx_t_1);
11456  if (PyDict_SetItem(__pyx_d, __pyx_n_s_diffusionSin1D_r, __pyx_t_1) < 0) __PYX_ERR(0, 66, __pyx_L1_error)
11457  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11458 
11459  /* "canalyticalSolutions.pyx":70
11460  *
11461  *
11462  * def diffusionSin2D_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
11463  * return cdiffusionSin2D_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
11464  *
11465  */
11466  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_11diffusionSin2D_r, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 70, __pyx_L1_error)
11467  __Pyx_GOTREF(__pyx_t_1);
11468  if (PyDict_SetItem(__pyx_d, __pyx_n_s_diffusionSin2D_r, __pyx_t_1) < 0) __PYX_ERR(0, 70, __pyx_L1_error)
11469  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11470 
11471  /* "canalyticalSolutions.pyx":74
11472  *
11473  *
11474  * def diffusionSin3D_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
11475  * return cdiffusionSin3D_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
11476  *
11477  */
11478  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_13diffusionSin3D_r, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 74, __pyx_L1_error)
11479  __Pyx_GOTREF(__pyx_t_1);
11480  if (PyDict_SetItem(__pyx_d, __pyx_n_s_diffusionSin3D_r, __pyx_t_1) < 0) __PYX_ERR(0, 74, __pyx_L1_error)
11481  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11482 
11483  /* "canalyticalSolutions.pyx":78
11484  *
11485  *
11486  * def LinearAD_DiracIC(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11487  * return cLinearAD_DiracIC( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11488  *
11489  */
11490  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_15LinearAD_DiracIC, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 78, __pyx_L1_error)
11491  __Pyx_GOTREF(__pyx_t_1);
11492  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearAD_DiracIC, __pyx_t_1) < 0) __PYX_ERR(0, 78, __pyx_L1_error)
11493  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11494 
11495  /* "canalyticalSolutions.pyx":82
11496  *
11497  *
11498  * def LinearAD_DiracIC_advectiveVelocity(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray f) -> int: # <<<<<<<<<<<<<<
11499  * return cLinearAD_DiracIC_advectiveVelocity( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > f.data)
11500  *
11501  */
11502  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_17LinearAD_DiracIC_advectiveVelocity, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 82, __pyx_L1_error)
11503  __Pyx_GOTREF(__pyx_t_1);
11504  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearAD_DiracIC_advectiveVeloci, __pyx_t_1) < 0) __PYX_ERR(0, 82, __pyx_L1_error)
11505  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11506 
11507  /* "canalyticalSolutions.pyx":86
11508  *
11509  *
11510  * def LinearAD_DiracIC_diffusiveVelocity(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray f) -> int: # <<<<<<<<<<<<<<
11511  * return cLinearAD_DiracIC_diffusiveVelocity( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > f.data)
11512  *
11513  */
11514  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_19LinearAD_DiracIC_diffusiveVelocity, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 86, __pyx_L1_error)
11515  __Pyx_GOTREF(__pyx_t_1);
11516  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearAD_DiracIC_diffusiveVeloci, __pyx_t_1) < 0) __PYX_ERR(0, 86, __pyx_L1_error)
11517  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11518 
11519  /* "canalyticalSolutions.pyx":90
11520  *
11521  *
11522  * def LinearAD_DiracIC_du(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray du) -> int: # <<<<<<<<<<<<<<
11523  * return cLinearAD_DiracIC_du( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > du.data)
11524  *
11525  */
11526  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_21LinearAD_DiracIC_du, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 90, __pyx_L1_error)
11527  __Pyx_GOTREF(__pyx_t_1);
11528  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearAD_DiracIC_du, __pyx_t_1) < 0) __PYX_ERR(0, 90, __pyx_L1_error)
11529  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11530 
11531  /* "canalyticalSolutions.pyx":94
11532  *
11533  *
11534  * def LinearAD_DiracIC_totalVelocity(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11535  * return cLinearAD_DiracIC_totalVelocity( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11536  *
11537  */
11538  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_23LinearAD_DiracIC_totalVelocity, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 94, __pyx_L1_error)
11539  __Pyx_GOTREF(__pyx_t_1);
11540  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearAD_DiracIC_totalVelocity, __pyx_t_1) < 0) __PYX_ERR(0, 94, __pyx_L1_error)
11541  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11542 
11543  /* "canalyticalSolutions.pyx":98
11544  *
11545  *
11546  * def LinearAD_SteadyState(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11547  * return cLinearAD_SteadyState( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11548  *
11549  */
11550  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_25LinearAD_SteadyState, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 98, __pyx_L1_error)
11551  __Pyx_GOTREF(__pyx_t_1);
11552  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearAD_SteadyState, __pyx_t_1) < 0) __PYX_ERR(0, 98, __pyx_L1_error)
11553  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11554 
11555  /* "canalyticalSolutions.pyx":102
11556  *
11557  *
11558  * def LinearADR_Decay_DiracIC(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11559  * return cLinearADR_Decay_DiracIC( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11560  *
11561  */
11562  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_27LinearADR_Decay_DiracIC, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 102, __pyx_L1_error)
11563  __Pyx_GOTREF(__pyx_t_1);
11564  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearADR_Decay_DiracIC, __pyx_t_1) < 0) __PYX_ERR(0, 102, __pyx_L1_error)
11565  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11566 
11567  /* "canalyticalSolutions.pyx":106
11568  *
11569  *
11570  * def LinearADR_Decay_DiracIC_dr(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray dr) -> int: # <<<<<<<<<<<<<<
11571  * return cLinearADR_Decay_DiracIC_dr( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > dr.data)
11572  *
11573  */
11574  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_29LinearADR_Decay_DiracIC_dr, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 106, __pyx_L1_error)
11575  __Pyx_GOTREF(__pyx_t_1);
11576  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearADR_Decay_DiracIC_dr, __pyx_t_1) < 0) __PYX_ERR(0, 106, __pyx_L1_error)
11577  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11578 
11579  /* "canalyticalSolutions.pyx":110
11580  *
11581  *
11582  * def LinearADR_Decay_DiracIC_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
11583  * return cLinearADR_Decay_DiracIC_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
11584  *
11585  */
11586  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_31LinearADR_Decay_DiracIC_r, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 110, __pyx_L1_error)
11587  __Pyx_GOTREF(__pyx_t_1);
11588  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearADR_Decay_DiracIC_r, __pyx_t_1) < 0) __PYX_ERR(0, 110, __pyx_L1_error)
11589  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11590 
11591  /* "canalyticalSolutions.pyx":114
11592  *
11593  *
11594  * def LinearADR_Sine(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11595  * return cLinearADR_Sine( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11596  *
11597  */
11598  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_33LinearADR_Sine, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 114, __pyx_L1_error)
11599  __Pyx_GOTREF(__pyx_t_1);
11600  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearADR_Sine, __pyx_t_1) < 0) __PYX_ERR(0, 114, __pyx_L1_error)
11601  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11602 
11603  /* "canalyticalSolutions.pyx":118
11604  *
11605  *
11606  * def LinearADR_Sine_advectiveVelocity(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray f) -> int: # <<<<<<<<<<<<<<
11607  * return cLinearADR_Sine_advectiveVelocity( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > f.data)
11608  *
11609  */
11610  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_35LinearADR_Sine_advectiveVelocity, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 118, __pyx_L1_error)
11611  __Pyx_GOTREF(__pyx_t_1);
11612  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearADR_Sine_advectiveVelocity, __pyx_t_1) < 0) __PYX_ERR(0, 118, __pyx_L1_error)
11613  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11614 
11615  /* "canalyticalSolutions.pyx":122
11616  *
11617  *
11618  * def LinearADR_Sine_diffusiveVelocity(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray f) -> int: # <<<<<<<<<<<<<<
11619  * return cLinearADR_Sine_diffusiveVelocity( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > f.data)
11620  *
11621  */
11622  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_37LinearADR_Sine_diffusiveVelocity, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 122, __pyx_L1_error)
11623  __Pyx_GOTREF(__pyx_t_1);
11624  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearADR_Sine_diffusiveVelocity, __pyx_t_1) < 0) __PYX_ERR(0, 122, __pyx_L1_error)
11625  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11626 
11627  /* "canalyticalSolutions.pyx":126
11628  *
11629  *
11630  * def LinearADR_Sine_dr(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray dr) -> int: # <<<<<<<<<<<<<<
11631  * return cLinearADR_Sine_dr( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > dr.data)
11632  *
11633  */
11634  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_39LinearADR_Sine_dr, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 126, __pyx_L1_error)
11635  __Pyx_GOTREF(__pyx_t_1);
11636  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearADR_Sine_dr, __pyx_t_1) < 0) __PYX_ERR(0, 126, __pyx_L1_error)
11637  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11638 
11639  /* "canalyticalSolutions.pyx":130
11640  *
11641  *
11642  * def LinearADR_Sine_du(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray du) -> int: # <<<<<<<<<<<<<<
11643  * return cLinearADR_Sine_du( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > du.data)
11644  *
11645  */
11646  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_41LinearADR_Sine_du, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 130, __pyx_L1_error)
11647  __Pyx_GOTREF(__pyx_t_1);
11648  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearADR_Sine_du, __pyx_t_1) < 0) __PYX_ERR(0, 130, __pyx_L1_error)
11649  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11650 
11651  /* "canalyticalSolutions.pyx":134
11652  *
11653  *
11654  * def LinearADR_Sine_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
11655  * return cLinearADR_Sine_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
11656  *
11657  */
11658  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_43LinearADR_Sine_r, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 134, __pyx_L1_error)
11659  __Pyx_GOTREF(__pyx_t_1);
11660  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearADR_Sine_r, __pyx_t_1) < 0) __PYX_ERR(0, 134, __pyx_L1_error)
11661  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11662 
11663  /* "canalyticalSolutions.pyx":138
11664  *
11665  *
11666  * def LinearADR_Sine_totalVelocity(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11667  * return cLinearADR_Sine_totalVelocity( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11668  *
11669  */
11670  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_45LinearADR_Sine_totalVelocity, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 138, __pyx_L1_error)
11671  __Pyx_GOTREF(__pyx_t_1);
11672  if (PyDict_SetItem(__pyx_d, __pyx_n_s_LinearADR_Sine_totalVelocity, __pyx_t_1) < 0) __PYX_ERR(0, 138, __pyx_L1_error)
11673  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11674 
11675  /* "canalyticalSolutions.pyx":142
11676  *
11677  *
11678  * def NonlinearAD_SteadyState(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11679  * return cNonlinearAD_SteadyState( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11680  *
11681  */
11682  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_47NonlinearAD_SteadyState, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 142, __pyx_L1_error)
11683  __Pyx_GOTREF(__pyx_t_1);
11684  if (PyDict_SetItem(__pyx_d, __pyx_n_s_NonlinearAD_SteadyState, __pyx_t_1) < 0) __PYX_ERR(0, 142, __pyx_L1_error)
11685  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11686 
11687  /* "canalyticalSolutions.pyx":146
11688  *
11689  *
11690  * def NonlinearADR_Decay_DiracIC(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11691  * return cNonlinearADR_Decay_DiracIC( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11692  *
11693  */
11694  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_49NonlinearADR_Decay_DiracIC, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 146, __pyx_L1_error)
11695  __Pyx_GOTREF(__pyx_t_1);
11696  if (PyDict_SetItem(__pyx_d, __pyx_n_s_NonlinearADR_Decay_DiracIC, __pyx_t_1) < 0) __PYX_ERR(0, 146, __pyx_L1_error)
11697  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11698 
11699  /* "canalyticalSolutions.pyx":150
11700  *
11701  *
11702  * def NonlinearADR_Decay_DiracIC_dr(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray dr) -> int: # <<<<<<<<<<<<<<
11703  * return cNonlinearADR_Decay_DiracIC_dr( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > dr.data)
11704  *
11705  */
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11711  /* "canalyticalSolutions.pyx":154
11712  *
11713  *
11714  * def NonlinearADR_Decay_DiracIC_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
11715  * return cNonlinearADR_Decay_DiracIC_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
11716  *
11717  */
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11721  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11722 
11723  /* "canalyticalSolutions.pyx":158
11724  *
11725  *
11726  * def NonlinearDAE(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11727  * return cNonlinearDAE( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11728  *
11729  */
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11731  __Pyx_GOTREF(__pyx_t_1);
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11733  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
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11736  *
11737  *
11738  * def NonlinearDAE_f(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11739  * return cNonlinearDAE_f( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11740  *
11741  */
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11748  *
11749  *
11750  * def PlanePoiseuilleFlow_u(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
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11752  *
11753  */
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11760  *
11761  *
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11763  * return cPoiseuillePipeFlow( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11764  *
11765  */
11766  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_61PoiseuillePipeFlow, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 170, __pyx_L1_error)
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11769  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
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11771  /* "canalyticalSolutions.pyx":174
11772  *
11773  *
11774  * def PoiseuillePipeFlow_P(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11775  * return cPoiseuillePipeFlow_P( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11776  *
11777  */
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11784  *
11785  *
11786  * def poissonsEquationExp1D(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11787  * return cpoissonsEquationExp1D( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11788  *
11789  */
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11796  *
11797  *
11798  * def poissonsEquationExp2D(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11799  * return cpoissonsEquationExp2D( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
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11801  */
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11808  *
11809  *
11810  * def poissonsEquationExp3D(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11811  * return cpoissonsEquationExp3D( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11812  *
11813  */
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11817  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
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11820  *
11821  *
11822  * def poissonsEquationExp3D_dr(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray dr) -> int: # <<<<<<<<<<<<<<
11823  * return cpoissonsEquationExp3D_dr( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > dr.data)
11824  *
11825  */
11826  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_71poissonsEquationExp3D_dr, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 190, __pyx_L1_error)
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11829  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
11830 
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11832  *
11833  *
11834  * def poissonsEquationExp1D_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
11835  * return cpoissonsEquationExp1D_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
11836  *
11837  */
11838  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_20canalyticalSolutions_73poissonsEquationExp1D_r, NULL, __pyx_n_s_canalyticalSolutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 194, __pyx_L1_error)
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11844  *
11845  *
11846  * def poissonsEquationExp2D_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
11847  * return cpoissonsEquationExp2D_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
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11856  *
11857  *
11858  * def poissonsEquationExp3D_r(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u, np.ndarray r) -> int: # <<<<<<<<<<<<<<
11859  * return cpoissonsEquationExp3D_r( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data, < double * > r.data)
11860  *
11861  */
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11869  *
11870  * def STflowSphere_P(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
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11872  *
11873  */
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11881  *
11882  * def STflowSphere_Vx(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11883  * return cSTflowSphere_Vx( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
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11885  */
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11893  *
11894  * def STflowSphere_Vy(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
11895  * return cSTflowSphere_Vy( < int * > iwork.data, < double * > rwork.data, x.size/x.shape[x.ndim-1], t, < double * > x.data, < double * > u.data)
11896  *
11897  */
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11905  *
11906  * def STflowSphere_Vz(np.ndarray iwork, np.ndarray rwork, double t, np.ndarray x, np.ndarray u) -> int: # <<<<<<<<<<<<<<
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11926  *
11927  * cdef inline NPY_DATETIMEUNIT get_datetime64_unit(object obj) nogil: # <<<<<<<<<<<<<<
11928  * """
11929  * returns the unit part of the dtype for a numpy datetime64 object.
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11931 
11932  /*--- Wrapped vars code ---*/
11933 
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11979  Py_ssize_t num_max,
11980  Py_ssize_t num_found)
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11983  const char *more_or_less;
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12002  const char* func_name,
12003  PyObject* kw_name)
12004 {
12005  PyErr_Format(PyExc_TypeError,
12006  #if PY_MAJOR_VERSION >= 3
12007  "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
12008  #else
12009  "%s() got multiple values for keyword argument '%s'", func_name,
12010  PyString_AsString(kw_name));
12011  #endif
12012 }
12013 
12014 /* ParseKeywords */
12015 static int __Pyx_ParseOptionalKeywords(
12016  PyObject *kwds,
12017  PyObject **argnames[],
12018  PyObject *kwds2,
12019  PyObject *values[],
12020  Py_ssize_t num_pos_args,
12021  const char* function_name)
12022 {
12023  PyObject *key = 0, *value = 0;
12024  Py_ssize_t pos = 0;
12025  PyObject*** name;
12026  PyObject*** first_kw_arg = argnames + num_pos_args;
12027  while (PyDict_Next(kwds, &pos, &key, &value)) {
12028  name = first_kw_arg;
12029  while (*name && (**name != key)) name++;
12030  if (*name) {
12031  values[name-argnames] = value;
12032  continue;
12033  }
12034  name = first_kw_arg;
12035  #if PY_MAJOR_VERSION < 3
12036  if (likely(PyString_Check(key))) {
12037  while (*name) {
12038  if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
12039  && _PyString_Eq(**name, key)) {
12040  values[name-argnames] = value;
12041  break;
12042  }
12043  name++;
12044  }
12045  if (*name) continue;
12046  else {
12047  PyObject*** argname = argnames;
12048  while (argname != first_kw_arg) {
12049  if ((**argname == key) || (
12050  (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
12051  && _PyString_Eq(**argname, key))) {
12052  goto arg_passed_twice;
12053  }
12054  argname++;
12055  }
12056  }
12057  } else
12058  #endif
12059  if (likely(PyUnicode_Check(key))) {
12060  while (*name) {
12061  int cmp = (**name == key) ? 0 :
12062  #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
12063  (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
12064  #endif
12065  PyUnicode_Compare(**name, key);
12066  if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
12067  if (cmp == 0) {
12068  values[name-argnames] = value;
12069  break;
12070  }
12071  name++;
12072  }
12073  if (*name) continue;
12074  else {
12075  PyObject*** argname = argnames;
12076  while (argname != first_kw_arg) {
12077  int cmp = (**argname == key) ? 0 :
12078  #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
12079  (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
12080  #endif
12081  PyUnicode_Compare(**argname, key);
12082  if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
12083  if (cmp == 0) goto arg_passed_twice;
12084  argname++;
12085  }
12086  }
12087  } else
12088  goto invalid_keyword_type;
12089  if (kwds2) {
12090  if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
12091  } else {
12092  goto invalid_keyword;
12093  }
12094  }
12095  return 0;
12096 arg_passed_twice:
12097  __Pyx_RaiseDoubleKeywordsError(function_name, key);
12098  goto bad;
12099 invalid_keyword_type:
12100  PyErr_Format(PyExc_TypeError,
12101  "%.200s() keywords must be strings", function_name);
12102  goto bad;
12103 invalid_keyword:
12104  PyErr_Format(PyExc_TypeError,
12105  #if PY_MAJOR_VERSION < 3
12106  "%.200s() got an unexpected keyword argument '%.200s'",
12107  function_name, PyString_AsString(key));
12108  #else
12109  "%s() got an unexpected keyword argument '%U'",
12110  function_name, key);
12111  #endif
12112 bad:
12113  return -1;
12114 }
12115 
12116 /* ArgTypeTest */
12117 static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
12118 {
12119  if (unlikely(!type)) {
12120  PyErr_SetString(PyExc_SystemError, "Missing type object");
12121  return 0;
12122  }
12123  else if (exact) {
12124  #if PY_MAJOR_VERSION == 2
12125  if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
12126  #endif
12127  }
12128  else {
12129  if (likely(__Pyx_TypeCheck(obj, type))) return 1;
12130  }
12131  PyErr_Format(PyExc_TypeError,
12132  "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
12133  name, type->tp_name, Py_TYPE(obj)->tp_name);
12134  return 0;
12135 }
12136 
12137 /* PyObjectGetAttrStr */
12138 #if CYTHON_USE_TYPE_SLOTS
12139 static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
12140  PyTypeObject* tp = Py_TYPE(obj);
12141  if (likely(tp->tp_getattro))
12142  return tp->tp_getattro(obj, attr_name);
12143 #if PY_MAJOR_VERSION < 3
12144  if (likely(tp->tp_getattr))
12145  return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
12146 #endif
12147  return PyObject_GetAttr(obj, attr_name);
12148 }
12149 #endif
12150 
12151 /* GetBuiltinName */
12152 static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
12153  PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
12154  if (unlikely(!result)) {
12155  PyErr_Format(PyExc_NameError,
12156 #if PY_MAJOR_VERSION >= 3
12157  "name '%U' is not defined", name);
12158 #else
12159  "name '%.200s' is not defined", PyString_AS_STRING(name));
12160 #endif
12161  }
12162  return result;
12163 }
12164 
12165 /* GetTopmostException */
12166 #if CYTHON_USE_EXC_INFO_STACK
12167 static _PyErr_StackItem *
12168 __Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
12169 {
12170  _PyErr_StackItem *exc_info = tstate->exc_info;
12171  while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
12172  exc_info->previous_item != NULL)
12173  {
12174  exc_info = exc_info->previous_item;
12175  }
12176  return exc_info;
12177 }
12178 #endif
12179 
12180 /* SaveResetException */
12181 #if CYTHON_FAST_THREAD_STATE
12182 static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
12183  #if CYTHON_USE_EXC_INFO_STACK
12184  _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
12185  *type = exc_info->exc_type;
12186  *value = exc_info->exc_value;
12187  *tb = exc_info->exc_traceback;
12188  #else
12189  *type = tstate->exc_type;
12190  *value = tstate->exc_value;
12191  *tb = tstate->exc_traceback;
12192  #endif
12193  Py_XINCREF(*type);
12194  Py_XINCREF(*value);
12195  Py_XINCREF(*tb);
12196 }
12197 static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
12198  PyObject *tmp_type, *tmp_value, *tmp_tb;
12199  #if CYTHON_USE_EXC_INFO_STACK
12200  _PyErr_StackItem *exc_info = tstate->exc_info;
12201  tmp_type = exc_info->exc_type;
12202  tmp_value = exc_info->exc_value;
12203  tmp_tb = exc_info->exc_traceback;
12204  exc_info->exc_type = type;
12205  exc_info->exc_value = value;
12206  exc_info->exc_traceback = tb;
12207  #else
12208  tmp_type = tstate->exc_type;
12209  tmp_value = tstate->exc_value;
12210  tmp_tb = tstate->exc_traceback;
12211  tstate->exc_type = type;
12212  tstate->exc_value = value;
12213  tstate->exc_traceback = tb;
12214  #endif
12215  Py_XDECREF(tmp_type);
12216  Py_XDECREF(tmp_value);
12217  Py_XDECREF(tmp_tb);
12218 }
12219 #endif
12220 
12221 /* PyErrExceptionMatches */
12222 #if CYTHON_FAST_THREAD_STATE
12223 static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
12224  Py_ssize_t i, n;
12225  n = PyTuple_GET_SIZE(tuple);
12226 #if PY_MAJOR_VERSION >= 3
12227  for (i=0; i<n; i++) {
12228  if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
12229  }
12230 #endif
12231  for (i=0; i<n; i++) {
12232  if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
12233  }
12234  return 0;
12235 }
12236 static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
12237  PyObject *exc_type = tstate->curexc_type;
12238  if (exc_type == err) return 1;
12239  if (unlikely(!exc_type)) return 0;
12240  if (unlikely(PyTuple_Check(err)))
12241  return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
12242  return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
12243 }
12244 #endif
12245 
12246 /* GetException */
12247 #if CYTHON_FAST_THREAD_STATE
12248 static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
12249 #else
12250 static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
12251 #endif
12252 {
12253  PyObject *local_type, *local_value, *local_tb;
12254 #if CYTHON_FAST_THREAD_STATE
12255  PyObject *tmp_type, *tmp_value, *tmp_tb;
12256  local_type = tstate->curexc_type;
12257  local_value = tstate->curexc_value;
12258  local_tb = tstate->curexc_traceback;
12259  tstate->curexc_type = 0;
12260  tstate->curexc_value = 0;
12261  tstate->curexc_traceback = 0;
12262 #else
12263  PyErr_Fetch(&local_type, &local_value, &local_tb);
12264 #endif
12265  PyErr_NormalizeException(&local_type, &local_value, &local_tb);
12266 #if CYTHON_FAST_THREAD_STATE
12267  if (unlikely(tstate->curexc_type))
12268 #else
12269  if (unlikely(PyErr_Occurred()))
12270 #endif
12271  goto bad;
12272  #if PY_MAJOR_VERSION >= 3
12273  if (local_tb) {
12274  if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
12275  goto bad;
12276  }
12277  #endif
12278  Py_XINCREF(local_tb);
12279  Py_XINCREF(local_type);
12280  Py_XINCREF(local_value);
12281  *type = local_type;
12282  *value = local_value;
12283  *tb = local_tb;
12284 #if CYTHON_FAST_THREAD_STATE
12285  #if CYTHON_USE_EXC_INFO_STACK
12286  {
12287  _PyErr_StackItem *exc_info = tstate->exc_info;
12288  tmp_type = exc_info->exc_type;
12289  tmp_value = exc_info->exc_value;
12290  tmp_tb = exc_info->exc_traceback;
12291  exc_info->exc_type = local_type;
12292  exc_info->exc_value = local_value;
12293  exc_info->exc_traceback = local_tb;
12294  }
12295  #else
12296  tmp_type = tstate->exc_type;
12297  tmp_value = tstate->exc_value;
12298  tmp_tb = tstate->exc_traceback;
12299  tstate->exc_type = local_type;
12300  tstate->exc_value = local_value;
12301  tstate->exc_traceback = local_tb;
12302  #endif
12303  Py_XDECREF(tmp_type);
12304  Py_XDECREF(tmp_value);
12305  Py_XDECREF(tmp_tb);
12306 #else
12307  PyErr_SetExcInfo(local_type, local_value, local_tb);
12308 #endif
12309  return 0;
12310 bad:
12311  *type = 0;
12312  *value = 0;
12313  *tb = 0;
12314  Py_XDECREF(local_type);
12315  Py_XDECREF(local_value);
12316  Py_XDECREF(local_tb);
12317  return -1;
12318 }
12319 
12320 /* PyObjectCall */
12321 #if CYTHON_COMPILING_IN_CPYTHON
12322 static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
12323  PyObject *result;
12324  ternaryfunc call = Py_TYPE(func)->tp_call;
12325  if (unlikely(!call))
12326  return PyObject_Call(func, arg, kw);
12327  if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
12328  return NULL;
12329  result = (*call)(func, arg, kw);
12330  Py_LeaveRecursiveCall();
12331  if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
12332  PyErr_SetString(
12333  PyExc_SystemError,
12334  "NULL result without error in PyObject_Call");
12335  }
12336  return result;
12337 }
12338 #endif
12339 
12340 /* PyErrFetchRestore */
12341 #if CYTHON_FAST_THREAD_STATE
12342 static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
12343  PyObject *tmp_type, *tmp_value, *tmp_tb;
12344  tmp_type = tstate->curexc_type;
12345  tmp_value = tstate->curexc_value;
12346  tmp_tb = tstate->curexc_traceback;
12347  tstate->curexc_type = type;
12348  tstate->curexc_value = value;
12349  tstate->curexc_traceback = tb;
12350  Py_XDECREF(tmp_type);
12351  Py_XDECREF(tmp_value);
12352  Py_XDECREF(tmp_tb);
12353 }
12354 static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
12355  *type = tstate->curexc_type;
12356  *value = tstate->curexc_value;
12357  *tb = tstate->curexc_traceback;
12358  tstate->curexc_type = 0;
12359  tstate->curexc_value = 0;
12360  tstate->curexc_traceback = 0;
12361 }
12362 #endif
12363 
12364 /* RaiseException */
12365 #if PY_MAJOR_VERSION < 3
12366 static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
12367  CYTHON_UNUSED PyObject *cause) {
12368  __Pyx_PyThreadState_declare
12369  Py_XINCREF(type);
12370  if (!value || value == Py_None)
12371  value = NULL;
12372  else
12373  Py_INCREF(value);
12374  if (!tb || tb == Py_None)
12375  tb = NULL;
12376  else {
12377  Py_INCREF(tb);
12378  if (!PyTraceBack_Check(tb)) {
12379  PyErr_SetString(PyExc_TypeError,
12380  "raise: arg 3 must be a traceback or None");
12381  goto raise_error;
12382  }
12383  }
12384  if (PyType_Check(type)) {
12385 #if CYTHON_COMPILING_IN_PYPY
12386  if (!value) {
12387  Py_INCREF(Py_None);
12388  value = Py_None;
12389  }
12390 #endif
12391  PyErr_NormalizeException(&type, &value, &tb);
12392  } else {
12393  if (value) {
12394  PyErr_SetString(PyExc_TypeError,
12395  "instance exception may not have a separate value");
12396  goto raise_error;
12397  }
12398  value = type;
12399  type = (PyObject*) Py_TYPE(type);
12400  Py_INCREF(type);
12401  if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
12402  PyErr_SetString(PyExc_TypeError,
12403  "raise: exception class must be a subclass of BaseException");
12404  goto raise_error;
12405  }
12406  }
12407  __Pyx_PyThreadState_assign
12408  __Pyx_ErrRestore(type, value, tb);
12409  return;
12410 raise_error:
12411  Py_XDECREF(value);
12412  Py_XDECREF(type);
12413  Py_XDECREF(tb);
12414  return;
12415 }
12416 #else
12417 static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
12418  PyObject* owned_instance = NULL;
12419  if (tb == Py_None) {
12420  tb = 0;
12421  } else if (tb && !PyTraceBack_Check(tb)) {
12422  PyErr_SetString(PyExc_TypeError,
12423  "raise: arg 3 must be a traceback or None");
12424  goto bad;
12425  }
12426  if (value == Py_None)
12427  value = 0;
12428  if (PyExceptionInstance_Check(type)) {
12429  if (value) {
12430  PyErr_SetString(PyExc_TypeError,
12431  "instance exception may not have a separate value");
12432  goto bad;
12433  }
12434  value = type;
12435  type = (PyObject*) Py_TYPE(value);
12436  } else if (PyExceptionClass_Check(type)) {
12437  PyObject *instance_class = NULL;
12438  if (value && PyExceptionInstance_Check(value)) {
12439  instance_class = (PyObject*) Py_TYPE(value);
12440  if (instance_class != type) {
12441  int is_subclass = PyObject_IsSubclass(instance_class, type);
12442  if (!is_subclass) {
12443  instance_class = NULL;
12444  } else if (unlikely(is_subclass == -1)) {
12445  goto bad;
12446  } else {
12447  type = instance_class;
12448  }
12449  }
12450  }
12451  if (!instance_class) {
12452  PyObject *args;
12453  if (!value)
12454  args = PyTuple_New(0);
12455  else if (PyTuple_Check(value)) {
12456  Py_INCREF(value);
12457  args = value;
12458  } else
12459  args = PyTuple_Pack(1, value);
12460  if (!args)
12461  goto bad;
12462  owned_instance = PyObject_Call(type, args, NULL);
12463  Py_DECREF(args);
12464  if (!owned_instance)
12465  goto bad;
12466  value = owned_instance;
12467  if (!PyExceptionInstance_Check(value)) {
12468  PyErr_Format(PyExc_TypeError,
12469  "calling %R should have returned an instance of "
12470  "BaseException, not %R",
12471  type, Py_TYPE(value));
12472  goto bad;
12473  }
12474  }
12475  } else {
12476  PyErr_SetString(PyExc_TypeError,
12477  "raise: exception class must be a subclass of BaseException");
12478  goto bad;
12479  }
12480  if (cause) {
12481  PyObject *fixed_cause;
12482  if (cause == Py_None) {
12483  fixed_cause = NULL;
12484  } else if (PyExceptionClass_Check(cause)) {
12485  fixed_cause = PyObject_CallObject(cause, NULL);
12486  if (fixed_cause == NULL)
12487  goto bad;
12488  } else if (PyExceptionInstance_Check(cause)) {
12489  fixed_cause = cause;
12490  Py_INCREF(fixed_cause);
12491  } else {
12492  PyErr_SetString(PyExc_TypeError,
12493  "exception causes must derive from "
12494  "BaseException");
12495  goto bad;
12496  }
12497  PyException_SetCause(value, fixed_cause);
12498  }
12499  PyErr_SetObject(type, value);
12500  if (tb) {
12501 #if CYTHON_COMPILING_IN_PYPY
12502  PyObject *tmp_type, *tmp_value, *tmp_tb;
12503  PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
12504  Py_INCREF(tb);
12505  PyErr_Restore(tmp_type, tmp_value, tb);
12506  Py_XDECREF(tmp_tb);
12507 #else
12508  PyThreadState *tstate = __Pyx_PyThreadState_Current;
12509  PyObject* tmp_tb = tstate->curexc_traceback;
12510  if (tb != tmp_tb) {
12511  Py_INCREF(tb);
12512  tstate->curexc_traceback = tb;
12513  Py_XDECREF(tmp_tb);
12514  }
12515 #endif
12516  }
12517 bad:
12518  Py_XDECREF(owned_instance);
12519  return;
12520 }
12521 #endif
12522 
12523 /* TypeImport */
12524 #ifndef __PYX_HAVE_RT_ImportType
12525 #define __PYX_HAVE_RT_ImportType
12526 static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,
12527  size_t size, enum __Pyx_ImportType_CheckSize check_size)
12528 {
12529  PyObject *result = 0;
12530  char warning[200];
12531  Py_ssize_t basicsize;
12532 #ifdef Py_LIMITED_API
12533  PyObject *py_basicsize;
12534 #endif
12535  result = PyObject_GetAttrString(module, class_name);
12536  if (!result)
12537  goto bad;
12538  if (!PyType_Check(result)) {
12539  PyErr_Format(PyExc_TypeError,
12540  "%.200s.%.200s is not a type object",
12541  module_name, class_name);
12542  goto bad;
12543  }
12544 #ifndef Py_LIMITED_API
12545  basicsize = ((PyTypeObject *)result)->tp_basicsize;
12546 #else
12547  py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
12548  if (!py_basicsize)
12549  goto bad;
12550  basicsize = PyLong_AsSsize_t(py_basicsize);
12551  Py_DECREF(py_basicsize);
12552  py_basicsize = 0;
12553  if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
12554  goto bad;
12555 #endif
12556  if ((size_t)basicsize < size) {
12557  PyErr_Format(PyExc_ValueError,
12558  "%.200s.%.200s size changed, may indicate binary incompatibility. "
12559  "Expected %zd from C header, got %zd from PyObject",
12560  module_name, class_name, size, basicsize);
12561  goto bad;
12562  }
12563  if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) {
12564  PyErr_Format(PyExc_ValueError,
12565  "%.200s.%.200s size changed, may indicate binary incompatibility. "
12566  "Expected %zd from C header, got %zd from PyObject",
12567  module_name, class_name, size, basicsize);
12568  goto bad;
12569  }
12570  else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) {
12571  PyOS_snprintf(warning, sizeof(warning),
12572  "%s.%s size changed, may indicate binary incompatibility. "
12573  "Expected %zd from C header, got %zd from PyObject",
12574  module_name, class_name, size, basicsize);
12575  if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
12576  }
12577  return (PyTypeObject *)result;
12578 bad:
12579  Py_XDECREF(result);
12580  return NULL;
12581 }
12582 #endif
12583 
12584 /* Import */
12585 static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
12586  PyObject *empty_list = 0;
12587  PyObject *module = 0;
12588  PyObject *global_dict = 0;
12589  PyObject *empty_dict = 0;
12590  PyObject *list;
12591  #if PY_MAJOR_VERSION < 3
12592  PyObject *py_import;
12593  py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
12594  if (!py_import)
12595  goto bad;
12596  #endif
12597  if (from_list)
12598  list = from_list;
12599  else {
12600  empty_list = PyList_New(0);
12601  if (!empty_list)
12602  goto bad;
12603  list = empty_list;
12604  }
12605  global_dict = PyModule_GetDict(__pyx_m);
12606  if (!global_dict)
12607  goto bad;
12608  empty_dict = PyDict_New();
12609  if (!empty_dict)
12610  goto bad;
12611  {
12612  #if PY_MAJOR_VERSION >= 3
12613  if (level == -1) {
12614  if ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {
12615  module = PyImport_ImportModuleLevelObject(
12616  name, global_dict, empty_dict, list, 1);
12617  if (!module) {
12618  if (!PyErr_ExceptionMatches(PyExc_ImportError))
12619  goto bad;
12620  PyErr_Clear();
12621  }
12622  }
12623  level = 0;
12624  }
12625  #endif
12626  if (!module) {
12627  #if PY_MAJOR_VERSION < 3
12628  PyObject *py_level = PyInt_FromLong(level);
12629  if (!py_level)
12630  goto bad;
12631  module = PyObject_CallFunctionObjArgs(py_import,
12632  name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
12633  Py_DECREF(py_level);
12634  #else
12635  module = PyImport_ImportModuleLevelObject(
12636  name, global_dict, empty_dict, list, level);
12637  #endif
12638  }
12639  }
12640 bad:
12641  #if PY_MAJOR_VERSION < 3
12642  Py_XDECREF(py_import);
12643  #endif
12644  Py_XDECREF(empty_list);
12645  Py_XDECREF(empty_dict);
12646  return module;
12647 }
12648 
12649 /* PyDictVersioning */
12650 #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
12651 static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
12652  PyObject *dict = Py_TYPE(obj)->tp_dict;
12653  return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
12654 }
12655 static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
12656  PyObject **dictptr = NULL;
12657  Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
12658  if (offset) {
12659 #if CYTHON_COMPILING_IN_CPYTHON
12660  dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
12661 #else
12662  dictptr = _PyObject_GetDictPtr(obj);
12663 #endif
12664  }
12665  return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
12666 }
12667 static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
12668  PyObject *dict = Py_TYPE(obj)->tp_dict;
12669  if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
12670  return 0;
12671  return obj_dict_version == __Pyx_get_object_dict_version(obj);
12672 }
12673 #endif
12674 
12675 /* CLineInTraceback */
12676 #ifndef CYTHON_CLINE_IN_TRACEBACK
12677 static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int c_line) {
12678  PyObject *use_cline;
12679  PyObject *ptype, *pvalue, *ptraceback;
12680 #if CYTHON_COMPILING_IN_CPYTHON
12681  PyObject **cython_runtime_dict;
12682 #endif
12683  if (unlikely(!__pyx_cython_runtime)) {
12684  return c_line;
12685  }
12686  __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
12687 #if CYTHON_COMPILING_IN_CPYTHON
12688  cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
12689  if (likely(cython_runtime_dict)) {
12690  __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
12691  use_cline, *cython_runtime_dict,
12692  __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
12693  } else
12694 #endif
12695  {
12696  PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
12697  if (use_cline_obj) {
12698  use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
12699  Py_DECREF(use_cline_obj);
12700  } else {
12701  PyErr_Clear();
12702  use_cline = NULL;
12703  }
12704  }
12705  if (!use_cline) {
12706  c_line = 0;
12707  (void) PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
12708  }
12709  else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
12710  c_line = 0;
12711  }
12712  __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
12713  return c_line;
12714 }
12715 #endif
12716 
12717 /* CodeObjectCache */
12718 static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
12719  int start = 0, mid = 0, end = count - 1;
12720  if (end >= 0 && code_line > entries[end].code_line) {
12721  return count;
12722  }
12723  while (start < end) {
12724  mid = start + (end - start) / 2;
12725  if (code_line < entries[mid].code_line) {
12726  end = mid;
12727  } else if (code_line > entries[mid].code_line) {
12728  start = mid + 1;
12729  } else {
12730  return mid;
12731  }
12732  }
12733  if (code_line <= entries[mid].code_line) {
12734  return mid;
12735  } else {
12736  return mid + 1;
12737  }
12738 }
12739 static PyCodeObject *__pyx_find_code_object(int code_line) {
12740  PyCodeObject* code_object;
12741  int pos;
12742  if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
12743  return NULL;
12744  }
12745  pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
12746  if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
12747  return NULL;
12748  }
12749  code_object = __pyx_code_cache.entries[pos].code_object;
12750  Py_INCREF(code_object);
12751  return code_object;
12752 }
12753 static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
12754  int pos, i;
12755  __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
12756  if (unlikely(!code_line)) {
12757  return;
12758  }
12759  if (unlikely(!entries)) {
12760  entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
12761  if (likely(entries)) {
12762  __pyx_code_cache.entries = entries;
12763  __pyx_code_cache.max_count = 64;
12764  __pyx_code_cache.count = 1;
12765  entries[0].code_line = code_line;
12766  entries[0].code_object = code_object;
12767  Py_INCREF(code_object);
12768  }
12769  return;
12770  }
12771  pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
12772  if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
12773  PyCodeObject* tmp = entries[pos].code_object;
12774  entries[pos].code_object = code_object;
12775  Py_DECREF(tmp);
12776  return;
12777  }
12778  if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
12779  int new_max = __pyx_code_cache.max_count + 64;
12780  entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
12781  __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
12782  if (unlikely(!entries)) {
12783  return;
12784  }
12785  __pyx_code_cache.entries = entries;
12786  __pyx_code_cache.max_count = new_max;
12787  }
12788  for (i=__pyx_code_cache.count; i>pos; i--) {
12789  entries[i] = entries[i-1];
12790  }
12791  entries[pos].code_line = code_line;
12792  entries[pos].code_object = code_object;
12793  __pyx_code_cache.count++;
12794  Py_INCREF(code_object);
12795 }
12796 
12797 /* AddTraceback */
12798 #include "compile.h"
12799 #include "frameobject.h"
12800 #include "traceback.h"
12801 #if PY_VERSION_HEX >= 0x030b00a6
12802  #ifndef Py_BUILD_CORE
12803  #define Py_BUILD_CORE 1
12804  #endif
12805  #include "internal/pycore_frame.h"
12806 #endif
12807 static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
12808  const char *funcname, int c_line,
12809  int py_line, const char *filename) {
12810  PyCodeObject *py_code = NULL;
12811  PyObject *py_funcname = NULL;
12812  #if PY_MAJOR_VERSION < 3
12813  PyObject *py_srcfile = NULL;
12814  py_srcfile = PyString_FromString(filename);
12815  if (!py_srcfile) goto bad;
12816  #endif
12817  if (c_line) {
12818  #if PY_MAJOR_VERSION < 3
12819  py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
12820  if (!py_funcname) goto bad;
12821  #else
12822  py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
12823  if (!py_funcname) goto bad;
12824  funcname = PyUnicode_AsUTF8(py_funcname);
12825  if (!funcname) goto bad;
12826  #endif
12827  }
12828  else {
12829  #if PY_MAJOR_VERSION < 3
12830  py_funcname = PyString_FromString(funcname);
12831  if (!py_funcname) goto bad;
12832  #endif
12833  }
12834  #if PY_MAJOR_VERSION < 3
12835  py_code = __Pyx_PyCode_New(
12836  0,
12837  0,
12838  0,
12839  0,
12840  0,
12841  __pyx_empty_bytes, /*PyObject *code,*/
12842  __pyx_empty_tuple, /*PyObject *consts,*/
12843  __pyx_empty_tuple, /*PyObject *names,*/
12844  __pyx_empty_tuple, /*PyObject *varnames,*/
12845  __pyx_empty_tuple, /*PyObject *freevars,*/
12846  __pyx_empty_tuple, /*PyObject *cellvars,*/
12847  py_srcfile, /*PyObject *filename,*/
12848  py_funcname, /*PyObject *name,*/
12849  py_line,
12850  __pyx_empty_bytes /*PyObject *lnotab*/
12851  );
12852  Py_DECREF(py_srcfile);
12853  #else
12854  py_code = PyCode_NewEmpty(filename, funcname, py_line);
12855  #endif
12856  Py_XDECREF(py_funcname); // XDECREF since it's only set on Py3 if cline
12857  return py_code;
12858 bad:
12859  Py_XDECREF(py_funcname);
12860  #if PY_MAJOR_VERSION < 3
12861  Py_XDECREF(py_srcfile);
12862  #endif
12863  return NULL;
12864 }
12865 static void __Pyx_AddTraceback(const char *funcname, int c_line,
12866  int py_line, const char *filename) {
12867  PyCodeObject *py_code = 0;
12868  PyFrameObject *py_frame = 0;
12869  PyThreadState *tstate = __Pyx_PyThreadState_Current;
12870  PyObject *ptype, *pvalue, *ptraceback;
12871  if (c_line) {
12872  c_line = __Pyx_CLineForTraceback(tstate, c_line);
12873  }
12874  py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
12875  if (!py_code) {
12876  __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
12877  py_code = __Pyx_CreateCodeObjectForTraceback(
12878  funcname, c_line, py_line, filename);
12879  if (!py_code) {
12880  /* If the code object creation fails, then we should clear the
12881  fetched exception references and propagate the new exception */
12882  Py_XDECREF(ptype);
12883  Py_XDECREF(pvalue);
12884  Py_XDECREF(ptraceback);
12885  goto bad;
12886  }
12887  __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
12888  __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
12889  }
12890  py_frame = PyFrame_New(
12891  tstate, /*PyThreadState *tstate,*/
12892  py_code, /*PyCodeObject *code,*/
12893  __pyx_d, /*PyObject *globals,*/
12894  0 /*PyObject *locals*/
12895  );
12896  if (!py_frame) goto bad;
12897  __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
12898  PyTraceBack_Here(py_frame);
12899 bad:
12900  Py_XDECREF(py_code);
12901  Py_XDECREF(py_frame);
12902 }
12903 
12904 /* CIntFromPyVerify */
12905 #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
12906  __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
12907 #define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
12908  __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
12909 #define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
12910  {\
12911  func_type value = func_value;\
12912  if (sizeof(target_type) < sizeof(func_type)) {\
12913  if (unlikely(value != (func_type) (target_type) value)) {\
12914  func_type zero = 0;\
12915  if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
12916  return (target_type) -1;\
12917  if (is_unsigned && unlikely(value < zero))\
12918  goto raise_neg_overflow;\
12919  else\
12920  goto raise_overflow;\
12921  }\
12922  }\
12923  return (target_type) value;\
12924  }
12925 
12926 /* Declarations */
12927 #if CYTHON_CCOMPLEX
12928  #ifdef __cplusplus
12929  static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
12930  return ::std::complex< float >(x, y);
12931  }
12932  #else
12933  static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
12934  return x + y*(__pyx_t_float_complex)_Complex_I;
12935  }
12936  #endif
12937 #else
12938  static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
12939  __pyx_t_float_complex z;
12940  z.real = x;
12941  z.imag = y;
12942  return z;
12943  }
12944 #endif
12945 
12946 /* Arithmetic */
12947 #if CYTHON_CCOMPLEX
12948 #else
12949  static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
12950  return (a.real == b.real) && (a.imag == b.imag);
12951  }
12952  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
12953  __pyx_t_float_complex z;
12954  z.real = a.real + b.real;
12955  z.imag = a.imag + b.imag;
12956  return z;
12957  }
12958  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
12959  __pyx_t_float_complex z;
12960  z.real = a.real - b.real;
12961  z.imag = a.imag - b.imag;
12962  return z;
12963  }
12964  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
12965  __pyx_t_float_complex z;
12966  z.real = a.real * b.real - a.imag * b.imag;
12967  z.imag = a.real * b.imag + a.imag * b.real;
12968  return z;
12969  }
12970  #if 1
12971  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
12972  if (b.imag == 0) {
12973  return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
12974  } else if (fabsf(b.real) >= fabsf(b.imag)) {
12975  if (b.real == 0 && b.imag == 0) {
12976  return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
12977  } else {
12978  float r = b.imag / b.real;
12979  float s = (float)(1.0) / (b.real + b.imag * r);
12980  return __pyx_t_float_complex_from_parts(
12981  (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
12982  }
12983  } else {
12984  float r = b.real / b.imag;
12985  float s = (float)(1.0) / (b.imag + b.real * r);
12986  return __pyx_t_float_complex_from_parts(
12987  (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
12988  }
12989  }
12990  #else
12991  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
12992  if (b.imag == 0) {
12993  return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
12994  } else {
12995  float denom = b.real * b.real + b.imag * b.imag;
12996  return __pyx_t_float_complex_from_parts(
12997  (a.real * b.real + a.imag * b.imag) / denom,
12998  (a.imag * b.real - a.real * b.imag) / denom);
12999  }
13000  }
13001  #endif
13002  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
13003  __pyx_t_float_complex z;
13004  z.real = -a.real;
13005  z.imag = -a.imag;
13006  return z;
13007  }
13008  static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
13009  return (a.real == 0) && (a.imag == 0);
13010  }
13011  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
13012  __pyx_t_float_complex z;
13013  z.real = a.real;
13014  z.imag = -a.imag;
13015  return z;
13016  }
13017  #if 1
13018  static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
13019  #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
13020  return sqrtf(z.real*z.real + z.imag*z.imag);
13021  #else
13022  return hypotf(z.real, z.imag);
13023  #endif
13024  }
13025  static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
13026  __pyx_t_float_complex z;
13027  float r, lnr, theta, z_r, z_theta;
13028  if (b.imag == 0 && b.real == (int)b.real) {
13029  if (b.real < 0) {
13030  float denom = a.real * a.real + a.imag * a.imag;
13031  a.real = a.real / denom;
13032  a.imag = -a.imag / denom;
13033  b.real = -b.real;
13034  }
13035  switch ((int)b.real) {
13036  case 0:
13037  z.real = 1;
13038  z.imag = 0;
13039  return z;
13040  case 1:
13041  return a;
13042  case 2:
13043  return __Pyx_c_prod_float(a, a);
13044  case 3:
13045  z = __Pyx_c_prod_float(a, a);
13046  return __Pyx_c_prod_float(z, a);
13047  case 4:
13048  z = __Pyx_c_prod_float(a, a);
13049  return __Pyx_c_prod_float(z, z);
13050  }
13051  }
13052  if (a.imag == 0) {
13053  if (a.real == 0) {
13054  return a;
13055  } else if (b.imag == 0) {
13056  z.real = powf(a.real, b.real);
13057  z.imag = 0;
13058  return z;
13059  } else if (a.real > 0) {
13060  r = a.real;
13061  theta = 0;
13062  } else {
13063  r = -a.real;
13064  theta = atan2f(0.0, -1.0);
13065  }
13066  } else {
13067  r = __Pyx_c_abs_float(a);
13068  theta = atan2f(a.imag, a.real);
13069  }
13070  lnr = logf(r);
13071  z_r = expf(lnr * b.real - theta * b.imag);
13072  z_theta = theta * b.real + lnr * b.imag;
13073  z.real = z_r * cosf(z_theta);
13074  z.imag = z_r * sinf(z_theta);
13075  return z;
13076  }
13077  #endif
13078 #endif
13079 
13080 /* Declarations */
13081 #if CYTHON_CCOMPLEX
13082  #ifdef __cplusplus
13083  static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
13084  return ::std::complex< double >(x, y);
13085  }
13086  #else
13087  static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
13088  return x + y*(__pyx_t_double_complex)_Complex_I;
13089  }
13090  #endif
13091 #else
13092  static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
13093  __pyx_t_double_complex z;
13094  z.real = x;
13095  z.imag = y;
13096  return z;
13097  }
13098 #endif
13099 
13100 /* Arithmetic */
13101 #if CYTHON_CCOMPLEX
13102 #else
13103  static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
13104  return (a.real == b.real) && (a.imag == b.imag);
13105  }
13106  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
13107  __pyx_t_double_complex z;
13108  z.real = a.real + b.real;
13109  z.imag = a.imag + b.imag;
13110  return z;
13111  }
13112  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
13113  __pyx_t_double_complex z;
13114  z.real = a.real - b.real;
13115  z.imag = a.imag - b.imag;
13116  return z;
13117  }
13118  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
13119  __pyx_t_double_complex z;
13120  z.real = a.real * b.real - a.imag * b.imag;
13121  z.imag = a.real * b.imag + a.imag * b.real;
13122  return z;
13123  }
13124  #if 1
13125  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
13126  if (b.imag == 0) {
13127  return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
13128  } else if (fabs(b.real) >= fabs(b.imag)) {
13129  if (b.real == 0 && b.imag == 0) {
13130  return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
13131  } else {
13132  double r = b.imag / b.real;
13133  double s = (double)(1.0) / (b.real + b.imag * r);
13134  return __pyx_t_double_complex_from_parts(
13135  (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
13136  }
13137  } else {
13138  double r = b.real / b.imag;
13139  double s = (double)(1.0) / (b.imag + b.real * r);
13140  return __pyx_t_double_complex_from_parts(
13141  (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
13142  }
13143  }
13144  #else
13145  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
13146  if (b.imag == 0) {
13147  return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
13148  } else {
13149  double denom = b.real * b.real + b.imag * b.imag;
13150  return __pyx_t_double_complex_from_parts(
13151  (a.real * b.real + a.imag * b.imag) / denom,
13152  (a.imag * b.real - a.real * b.imag) / denom);
13153  }
13154  }
13155  #endif
13156  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
13157  __pyx_t_double_complex z;
13158  z.real = -a.real;
13159  z.imag = -a.imag;
13160  return z;
13161  }
13162  static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
13163  return (a.real == 0) && (a.imag == 0);
13164  }
13165  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
13166  __pyx_t_double_complex z;
13167  z.real = a.real;
13168  z.imag = -a.imag;
13169  return z;
13170  }
13171  #if 1
13172  static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
13173  #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
13174  return sqrt(z.real*z.real + z.imag*z.imag);
13175  #else
13176  return hypot(z.real, z.imag);
13177  #endif
13178  }
13179  static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
13180  __pyx_t_double_complex z;
13181  double r, lnr, theta, z_r, z_theta;
13182  if (b.imag == 0 && b.real == (int)b.real) {
13183  if (b.real < 0) {
13184  double denom = a.real * a.real + a.imag * a.imag;
13185  a.real = a.real / denom;
13186  a.imag = -a.imag / denom;
13187  b.real = -b.real;
13188  }
13189  switch ((int)b.real) {
13190  case 0:
13191  z.real = 1;
13192  z.imag = 0;
13193  return z;
13194  case 1:
13195  return a;
13196  case 2:
13197  return __Pyx_c_prod_double(a, a);
13198  case 3:
13199  z = __Pyx_c_prod_double(a, a);
13200  return __Pyx_c_prod_double(z, a);
13201  case 4:
13202  z = __Pyx_c_prod_double(a, a);
13203  return __Pyx_c_prod_double(z, z);
13204  }
13205  }
13206  if (a.imag == 0) {
13207  if (a.real == 0) {
13208  return a;
13209  } else if (b.imag == 0) {
13210  z.real = pow(a.real, b.real);
13211  z.imag = 0;
13212  return z;
13213  } else if (a.real > 0) {
13214  r = a.real;
13215  theta = 0;
13216  } else {
13217  r = -a.real;
13218  theta = atan2(0.0, -1.0);
13219  }
13220  } else {
13221  r = __Pyx_c_abs_double(a);
13222  theta = atan2(a.imag, a.real);
13223  }
13224  lnr = log(r);
13225  z_r = exp(lnr * b.real - theta * b.imag);
13226  z_theta = theta * b.real + lnr * b.imag;
13227  z.real = z_r * cos(z_theta);
13228  z.imag = z_r * sin(z_theta);
13229  return z;
13230  }
13231  #endif
13232 #endif
13233 
13234 /* CIntToPy */
13235 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value) {
13236 #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
13237 #pragma GCC diagnostic push
13238 #pragma GCC diagnostic ignored "-Wconversion"
13239 #endif
13240  const Py_intptr_t neg_one = (Py_intptr_t) -1, const_zero = (Py_intptr_t) 0;
13241 #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
13242 #pragma GCC diagnostic pop
13243 #endif
13244  const int is_unsigned = neg_one > const_zero;
13245  if (is_unsigned) {
13246  if (sizeof(Py_intptr_t) < sizeof(long)) {
13247  return PyInt_FromLong((long) value);
13248  } else if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
13249  return PyLong_FromUnsignedLong((unsigned long) value);
13250 #ifdef HAVE_LONG_LONG
13251  } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
13252  return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
13253 #endif
13254  }
13255  } else {
13256  if (sizeof(Py_intptr_t) <= sizeof(long)) {
13257  return PyInt_FromLong((long) value);
13258 #ifdef HAVE_LONG_LONG
13259  } else if (sizeof(Py_intptr_t) <= sizeof(PY_LONG_LONG)) {
13260  return PyLong_FromLongLong((PY_LONG_LONG) value);
13261 #endif
13262  }
13263  }
13264  {
13265  int one = 1; int little = (int)*(unsigned char *)&one;
13266  unsigned char *bytes = (unsigned char *)&value;
13267  return _PyLong_FromByteArray(bytes, sizeof(Py_intptr_t),
13268  little, !is_unsigned);
13269  }
13270 }
13271 
13272 /* CIntFromPy */
13273 static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
13274 #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
13275 #pragma GCC diagnostic push
13276 #pragma GCC diagnostic ignored "-Wconversion"
13277 #endif
13278  const int neg_one = (int) -1, const_zero = (int) 0;
13279 #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
13280 #pragma GCC diagnostic pop
13281 #endif
13282  const int is_unsigned = neg_one > const_zero;
13283 #if PY_MAJOR_VERSION < 3
13284  if (likely(PyInt_Check(x))) {
13285  if (sizeof(int) < sizeof(long)) {
13286  __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
13287  } else {
13288  long val = PyInt_AS_LONG(x);
13289  if (is_unsigned && unlikely(val < 0)) {
13290  goto raise_neg_overflow;
13291  }
13292  return (int) val;
13293  }
13294  } else
13295 #endif
13296  if (likely(PyLong_Check(x))) {
13297  if (is_unsigned) {
13298 #if CYTHON_USE_PYLONG_INTERNALS
13299  const digit* digits = ((PyLongObject*)x)->ob_digit;
13300  switch (Py_SIZE(x)) {
13301  case 0: return (int) 0;
13302  case 1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
13303  case 2:
13304  if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
13305  if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
13306  __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13307  } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
13308  return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
13309  }
13310  }
13311  break;
13312  case 3:
13313  if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
13314  if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
13315  __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13316  } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
13317  return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
13318  }
13319  }
13320  break;
13321  case 4:
13322  if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
13323  if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
13324  __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13325  } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
13326  return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
13327  }
13328  }
13329  break;
13330  }
13331 #endif
13332 #if CYTHON_COMPILING_IN_CPYTHON
13333  if (unlikely(Py_SIZE(x) < 0)) {
13334  goto raise_neg_overflow;
13335  }
13336 #else
13337  {
13338  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
13339  if (unlikely(result < 0))
13340  return (int) -1;
13341  if (unlikely(result == 1))
13342  goto raise_neg_overflow;
13343  }
13344 #endif
13345  if (sizeof(int) <= sizeof(unsigned long)) {
13346  __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
13347 #ifdef HAVE_LONG_LONG
13348  } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
13349  __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
13350 #endif
13351  }
13352  } else {
13353 #if CYTHON_USE_PYLONG_INTERNALS
13354  const digit* digits = ((PyLongObject*)x)->ob_digit;
13355  switch (Py_SIZE(x)) {
13356  case 0: return (int) 0;
13357  case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
13358  case 1: __PYX_VERIFY_RETURN_INT(int, digit, +digits[0])
13359  case -2:
13360  if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
13361  if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
13362  __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13363  } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
13364  return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
13365  }
13366  }
13367  break;
13368  case 2:
13369  if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
13370  if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
13371  __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13372  } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
13373  return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
13374  }
13375  }
13376  break;
13377  case -3:
13378  if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
13379  if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
13380  __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13381  } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
13382  return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
13383  }
13384  }
13385  break;
13386  case 3:
13387  if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
13388  if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
13389  __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13390  } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
13391  return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
13392  }
13393  }
13394  break;
13395  case -4:
13396  if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
13397  if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
13398  __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13399  } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
13400  return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
13401  }
13402  }
13403  break;
13404  case 4:
13405  if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
13406  if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
13407  __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13408  } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
13409  return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
13410  }
13411  }
13412  break;
13413  }
13414 #endif
13415  if (sizeof(int) <= sizeof(long)) {
13416  __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
13417 #ifdef HAVE_LONG_LONG
13418  } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
13419  __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
13420 #endif
13421  }
13422  }
13423  {
13424 #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
13425  PyErr_SetString(PyExc_RuntimeError,
13426  "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
13427 #else
13428  int val;
13429  PyObject *v = __Pyx_PyNumber_IntOrLong(x);
13430  #if PY_MAJOR_VERSION < 3
13431  if (likely(v) && !PyLong_Check(v)) {
13432  PyObject *tmp = v;
13433  v = PyNumber_Long(tmp);
13434  Py_DECREF(tmp);
13435  }
13436  #endif
13437  if (likely(v)) {
13438  int one = 1; int is_little = (int)*(unsigned char *)&one;
13439  unsigned char *bytes = (unsigned char *)&val;
13440  int ret = _PyLong_AsByteArray((PyLongObject *)v,
13441  bytes, sizeof(val),
13442  is_little, !is_unsigned);
13443  Py_DECREF(v);
13444  if (likely(!ret))
13445  return val;
13446  }
13447 #endif
13448  return (int) -1;
13449  }
13450  } else {
13451  int val;
13452  PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
13453  if (!tmp) return (int) -1;
13454  val = __Pyx_PyInt_As_int(tmp);
13455  Py_DECREF(tmp);
13456  return val;
13457  }
13458 raise_overflow:
13459  PyErr_SetString(PyExc_OverflowError,
13460  "value too large to convert to int");
13461  return (int) -1;
13462 raise_neg_overflow:
13463  PyErr_SetString(PyExc_OverflowError,
13464  "can't convert negative value to int");
13465  return (int) -1;
13466 }
13467 
13468 /* CIntToPy */
13469 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
13470 #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
13471 #pragma GCC diagnostic push
13472 #pragma GCC diagnostic ignored "-Wconversion"
13473 #endif
13474  const int neg_one = (int) -1, const_zero = (int) 0;
13475 #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
13476 #pragma GCC diagnostic pop
13477 #endif
13478  const int is_unsigned = neg_one > const_zero;
13479  if (is_unsigned) {
13480  if (sizeof(int) < sizeof(long)) {
13481  return PyInt_FromLong((long) value);
13482  } else if (sizeof(int) <= sizeof(unsigned long)) {
13483  return PyLong_FromUnsignedLong((unsigned long) value);
13484 #ifdef HAVE_LONG_LONG
13485  } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
13486  return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
13487 #endif
13488  }
13489  } else {
13490  if (sizeof(int) <= sizeof(long)) {
13491  return PyInt_FromLong((long) value);
13492 #ifdef HAVE_LONG_LONG
13493  } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
13494  return PyLong_FromLongLong((PY_LONG_LONG) value);
13495 #endif
13496  }
13497  }
13498  {
13499  int one = 1; int little = (int)*(unsigned char *)&one;
13500  unsigned char *bytes = (unsigned char *)&value;
13501  return _PyLong_FromByteArray(bytes, sizeof(int),
13502  little, !is_unsigned);
13503  }
13504 }
13505 
13506 /* CIntToPy */
13507 static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
13508 #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
13509 #pragma GCC diagnostic push
13510 #pragma GCC diagnostic ignored "-Wconversion"
13511 #endif
13512  const long neg_one = (long) -1, const_zero = (long) 0;
13513 #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
13514 #pragma GCC diagnostic pop
13515 #endif
13516  const int is_unsigned = neg_one > const_zero;
13517  if (is_unsigned) {
13518  if (sizeof(long) < sizeof(long)) {
13519  return PyInt_FromLong((long) value);
13520  } else if (sizeof(long) <= sizeof(unsigned long)) {
13521  return PyLong_FromUnsignedLong((unsigned long) value);
13522 #ifdef HAVE_LONG_LONG
13523  } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
13524  return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
13525 #endif
13526  }
13527  } else {
13528  if (sizeof(long) <= sizeof(long)) {
13529  return PyInt_FromLong((long) value);
13530 #ifdef HAVE_LONG_LONG
13531  } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
13532  return PyLong_FromLongLong((PY_LONG_LONG) value);
13533 #endif
13534  }
13535  }
13536  {
13537  int one = 1; int little = (int)*(unsigned char *)&one;
13538  unsigned char *bytes = (unsigned char *)&value;
13539  return _PyLong_FromByteArray(bytes, sizeof(long),
13540  little, !is_unsigned);
13541  }
13542 }
13543 
13544 /* CIntFromPy */
13545 static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
13546 #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
13547 #pragma GCC diagnostic push
13548 #pragma GCC diagnostic ignored "-Wconversion"
13549 #endif
13550  const long neg_one = (long) -1, const_zero = (long) 0;
13551 #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
13552 #pragma GCC diagnostic pop
13553 #endif
13554  const int is_unsigned = neg_one > const_zero;
13555 #if PY_MAJOR_VERSION < 3
13556  if (likely(PyInt_Check(x))) {
13557  if (sizeof(long) < sizeof(long)) {
13558  __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
13559  } else {
13560  long val = PyInt_AS_LONG(x);
13561  if (is_unsigned && unlikely(val < 0)) {
13562  goto raise_neg_overflow;
13563  }
13564  return (long) val;
13565  }
13566  } else
13567 #endif
13568  if (likely(PyLong_Check(x))) {
13569  if (is_unsigned) {
13570 #if CYTHON_USE_PYLONG_INTERNALS
13571  const digit* digits = ((PyLongObject*)x)->ob_digit;
13572  switch (Py_SIZE(x)) {
13573  case 0: return (long) 0;
13574  case 1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
13575  case 2:
13576  if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
13577  if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
13578  __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13579  } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
13580  return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
13581  }
13582  }
13583  break;
13584  case 3:
13585  if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
13586  if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
13587  __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13588  } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
13589  return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
13590  }
13591  }
13592  break;
13593  case 4:
13594  if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
13595  if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
13596  __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13597  } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
13598  return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
13599  }
13600  }
13601  break;
13602  }
13603 #endif
13604 #if CYTHON_COMPILING_IN_CPYTHON
13605  if (unlikely(Py_SIZE(x) < 0)) {
13606  goto raise_neg_overflow;
13607  }
13608 #else
13609  {
13610  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
13611  if (unlikely(result < 0))
13612  return (long) -1;
13613  if (unlikely(result == 1))
13614  goto raise_neg_overflow;
13615  }
13616 #endif
13617  if (sizeof(long) <= sizeof(unsigned long)) {
13618  __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
13619 #ifdef HAVE_LONG_LONG
13620  } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
13621  __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
13622 #endif
13623  }
13624  } else {
13625 #if CYTHON_USE_PYLONG_INTERNALS
13626  const digit* digits = ((PyLongObject*)x)->ob_digit;
13627  switch (Py_SIZE(x)) {
13628  case 0: return (long) 0;
13629  case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
13630  case 1: __PYX_VERIFY_RETURN_INT(long, digit, +digits[0])
13631  case -2:
13632  if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
13633  if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
13634  __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13635  } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
13636  return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
13637  }
13638  }
13639  break;
13640  case 2:
13641  if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
13642  if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
13643  __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13644  } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
13645  return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
13646  }
13647  }
13648  break;
13649  case -3:
13650  if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
13651  if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
13652  __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13653  } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
13654  return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
13655  }
13656  }
13657  break;
13658  case 3:
13659  if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
13660  if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
13661  __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13662  } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
13663  return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
13664  }
13665  }
13666  break;
13667  case -4:
13668  if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
13669  if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
13670  __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13671  } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
13672  return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
13673  }
13674  }
13675  break;
13676  case 4:
13677  if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
13678  if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
13679  __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
13680  } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
13681  return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
13682  }
13683  }
13684  break;
13685  }
13686 #endif
13687  if (sizeof(long) <= sizeof(long)) {
13688  __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
13689 #ifdef HAVE_LONG_LONG
13690  } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
13691  __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
13692 #endif
13693  }
13694  }
13695  {
13696 #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
13697  PyErr_SetString(PyExc_RuntimeError,
13698  "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
13699 #else
13700  long val;
13701  PyObject *v = __Pyx_PyNumber_IntOrLong(x);
13702  #if PY_MAJOR_VERSION < 3
13703  if (likely(v) && !PyLong_Check(v)) {
13704  PyObject *tmp = v;
13705  v = PyNumber_Long(tmp);
13706  Py_DECREF(tmp);
13707  }
13708  #endif
13709  if (likely(v)) {
13710  int one = 1; int is_little = (int)*(unsigned char *)&one;
13711  unsigned char *bytes = (unsigned char *)&val;
13712  int ret = _PyLong_AsByteArray((PyLongObject *)v,
13713  bytes, sizeof(val),
13714  is_little, !is_unsigned);
13715  Py_DECREF(v);
13716  if (likely(!ret))
13717  return val;
13718  }
13719 #endif
13720  return (long) -1;
13721  }
13722  } else {
13723  long val;
13724  PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
13725  if (!tmp) return (long) -1;
13726  val = __Pyx_PyInt_As_long(tmp);
13727  Py_DECREF(tmp);
13728  return val;
13729  }
13730 raise_overflow:
13731  PyErr_SetString(PyExc_OverflowError,
13732  "value too large to convert to long");
13733  return (long) -1;
13734 raise_neg_overflow:
13735  PyErr_SetString(PyExc_OverflowError,
13736  "can't convert negative value to long");
13737  return (long) -1;
13738 }
13739 
13740 /* FastTypeChecks */
13741 #if CYTHON_COMPILING_IN_CPYTHON
13742 static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
13743  while (a) {
13744  a = a->tp_base;
13745  if (a == b)
13746  return 1;
13747  }
13748  return b == &PyBaseObject_Type;
13749 }
13750 static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
13751  PyObject *mro;
13752  if (a == b) return 1;
13753  mro = a->tp_mro;
13754  if (likely(mro)) {
13755  Py_ssize_t i, n;
13756  n = PyTuple_GET_SIZE(mro);
13757  for (i = 0; i < n; i++) {
13758  if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
13759  return 1;
13760  }
13761  return 0;
13762  }
13763  return __Pyx_InBases(a, b);
13764 }
13765 #if PY_MAJOR_VERSION == 2
13766 static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
13767  PyObject *exception, *value, *tb;
13768  int res;
13769  __Pyx_PyThreadState_declare
13770  __Pyx_PyThreadState_assign
13771  __Pyx_ErrFetch(&exception, &value, &tb);
13772  res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
13773  if (unlikely(res == -1)) {
13774  PyErr_WriteUnraisable(err);
13775  res = 0;
13776  }
13777  if (!res) {
13778  res = PyObject_IsSubclass(err, exc_type2);
13779  if (unlikely(res == -1)) {
13780  PyErr_WriteUnraisable(err);
13781  res = 0;
13782  }
13783  }
13784  __Pyx_ErrRestore(exception, value, tb);
13785  return res;
13786 }
13787 #else
13788 static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
13789  int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
13790  if (!res) {
13791  res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
13792  }
13793  return res;
13794 }
13795 #endif
13796 static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
13797  Py_ssize_t i, n;
13798  assert(PyExceptionClass_Check(exc_type));
13799  n = PyTuple_GET_SIZE(tuple);
13800 #if PY_MAJOR_VERSION >= 3
13801  for (i=0; i<n; i++) {
13802  if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
13803  }
13804 #endif
13805  for (i=0; i<n; i++) {
13806  PyObject *t = PyTuple_GET_ITEM(tuple, i);
13807  #if PY_MAJOR_VERSION < 3
13808  if (likely(exc_type == t)) return 1;
13809  #endif
13810  if (likely(PyExceptionClass_Check(t))) {
13811  if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
13812  } else {
13813  }
13814  }
13815  return 0;
13816 }
13817 static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
13818  if (likely(err == exc_type)) return 1;
13819  if (likely(PyExceptionClass_Check(err))) {
13820  if (likely(PyExceptionClass_Check(exc_type))) {
13821  return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
13822  } else if (likely(PyTuple_Check(exc_type))) {
13823  return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
13824  } else {
13825  }
13826  }
13827  return PyErr_GivenExceptionMatches(err, exc_type);
13828 }
13829 static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
13830  assert(PyExceptionClass_Check(exc_type1));
13831  assert(PyExceptionClass_Check(exc_type2));
13832  if (likely(err == exc_type1 || err == exc_type2)) return 1;
13833  if (likely(PyExceptionClass_Check(err))) {
13834  return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
13835  }
13836  return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
13837 }
13838 #endif
13839 
13840 /* CheckBinaryVersion */
13841 static int __Pyx_check_binary_version(void) {
13842  char ctversion[5];
13843  int same=1, i, found_dot;
13844  const char* rt_from_call = Py_GetVersion();
13845  PyOS_snprintf(ctversion, 5, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
13846  found_dot = 0;
13847  for (i = 0; i < 4; i++) {
13848  if (!ctversion[i]) {
13849  same = (rt_from_call[i] < '0' || rt_from_call[i] > '9');
13850  break;
13851  }
13852  if (rt_from_call[i] != ctversion[i]) {
13853  same = 0;
13854  break;
13855  }
13856  }
13857  if (!same) {
13858  char rtversion[5] = {'\0'};
13859  char message[200];
13860  for (i=0; i<4; ++i) {
13861  if (rt_from_call[i] == '.') {
13862  if (found_dot) break;
13863  found_dot = 1;
13864  } else if (rt_from_call[i] < '0' || rt_from_call[i] > '9') {
13865  break;
13866  }
13867  rtversion[i] = rt_from_call[i];
13868  }
13869  PyOS_snprintf(message, sizeof(message),
13870  "compiletime version %s of module '%.100s' "
13871  "does not match runtime version %s",
13872  ctversion, __Pyx_MODULE_NAME, rtversion);
13873  return PyErr_WarnEx(NULL, message, 1);
13874  }
13875  return 0;
13876 }
13877 
13878 /* InitStrings */
13879 static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
13880  while (t->p) {
13881  #if PY_MAJOR_VERSION < 3
13882  if (t->is_unicode) {
13883  *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
13884  } else if (t->intern) {
13885  *t->p = PyString_InternFromString(t->s);
13886  } else {
13887  *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
13888  }
13889  #else
13890  if (t->is_unicode | t->is_str) {
13891  if (t->intern) {
13892  *t->p = PyUnicode_InternFromString(t->s);
13893  } else if (t->encoding) {
13894  *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
13895  } else {
13896  *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
13897  }
13898  } else {
13899  *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
13900  }
13901  #endif
13902  if (!*t->p)
13903  return -1;
13904  if (PyObject_Hash(*t->p) == -1)
13905  return -1;
13906  ++t;
13907  }
13908  return 0;
13909 }
13910 
13911 static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
13912  return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
13913 }
13914 static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
13915  Py_ssize_t ignore;
13916  return __Pyx_PyObject_AsStringAndSize(o, &ignore);
13917 }
13918 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
13919 #if !CYTHON_PEP393_ENABLED
13920 static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
13921  char* defenc_c;
13922  PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
13923  if (!defenc) return NULL;
13924  defenc_c = PyBytes_AS_STRING(defenc);
13925 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
13926  {
13927  char* end = defenc_c + PyBytes_GET_SIZE(defenc);
13928  char* c;
13929  for (c = defenc_c; c < end; c++) {
13930  if ((unsigned char) (*c) >= 128) {
13931  PyUnicode_AsASCIIString(o);
13932  return NULL;
13933  }
13934  }
13935  }
13936 #endif
13937  *length = PyBytes_GET_SIZE(defenc);
13938  return defenc_c;
13939 }
13940 #else
13941 static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
13942  if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
13943 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
13944  if (likely(PyUnicode_IS_ASCII(o))) {
13945  *length = PyUnicode_GET_LENGTH(o);
13946  return PyUnicode_AsUTF8(o);
13947  } else {
13948  PyUnicode_AsASCIIString(o);
13949  return NULL;
13950  }
13951 #else
13952  return PyUnicode_AsUTF8AndSize(o, length);
13953 #endif
13954 }
13955 #endif
13956 #endif
13957 static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
13958 #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
13959  if (
13960 #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
13961  __Pyx_sys_getdefaultencoding_not_ascii &&
13962 #endif
13963  PyUnicode_Check(o)) {
13964  return __Pyx_PyUnicode_AsStringAndSize(o, length);
13965  } else
13966 #endif
13967 #if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
13968  if (PyByteArray_Check(o)) {
13969  *length = PyByteArray_GET_SIZE(o);
13970  return PyByteArray_AS_STRING(o);
13971  } else
13972 #endif
13973  {
13974  char* result;
13975  int r = PyBytes_AsStringAndSize(o, &result, length);
13976  if (unlikely(r < 0)) {
13977  return NULL;
13978  } else {
13979  return result;
13980  }
13981  }
13982 }
13983 static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
13984  int is_true = x == Py_True;
13985  if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
13986  else return PyObject_IsTrue(x);
13987 }
13988 static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
13989  int retval;
13990  if (unlikely(!x)) return -1;
13991  retval = __Pyx_PyObject_IsTrue(x);
13992  Py_DECREF(x);
13993  return retval;
13994 }
13995 static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
13996 #if PY_MAJOR_VERSION >= 3
13997  if (PyLong_Check(result)) {
13998  if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
13999  "__int__ returned non-int (type %.200s). "
14000  "The ability to return an instance of a strict subclass of int "
14001  "is deprecated, and may be removed in a future version of Python.",
14002  Py_TYPE(result)->tp_name)) {
14003  Py_DECREF(result);
14004  return NULL;
14005  }
14006  return result;
14007  }
14008 #endif
14009  PyErr_Format(PyExc_TypeError,
14010  "__%.4s__ returned non-%.4s (type %.200s)",
14011  type_name, type_name, Py_TYPE(result)->tp_name);
14012  Py_DECREF(result);
14013  return NULL;
14014 }
14015 static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
14016 #if CYTHON_USE_TYPE_SLOTS
14017  PyNumberMethods *m;
14018 #endif
14019  const char *name = NULL;
14020  PyObject *res = NULL;
14021 #if PY_MAJOR_VERSION < 3
14022  if (likely(PyInt_Check(x) || PyLong_Check(x)))
14023 #else
14024  if (likely(PyLong_Check(x)))
14025 #endif
14026  return __Pyx_NewRef(x);
14027 #if CYTHON_USE_TYPE_SLOTS
14028  m = Py_TYPE(x)->tp_as_number;
14029  #if PY_MAJOR_VERSION < 3
14030  if (m && m->nb_int) {
14031  name = "int";
14032  res = m->nb_int(x);
14033  }
14034  else if (m && m->nb_long) {
14035  name = "long";
14036  res = m->nb_long(x);
14037  }
14038  #else
14039  if (likely(m && m->nb_int)) {
14040  name = "int";
14041  res = m->nb_int(x);
14042  }
14043  #endif
14044 #else
14045  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
14046  res = PyNumber_Int(x);
14047  }
14048 #endif
14049  if (likely(res)) {
14050 #if PY_MAJOR_VERSION < 3
14051  if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
14052 #else
14053  if (unlikely(!PyLong_CheckExact(res))) {
14054 #endif
14055  return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
14056  }
14057  }
14058  else if (!PyErr_Occurred()) {
14059  PyErr_SetString(PyExc_TypeError,
14060  "an integer is required");
14061  }
14062  return res;
14063 }
14064 static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
14065  Py_ssize_t ival;
14066  PyObject *x;
14067 #if PY_MAJOR_VERSION < 3
14068  if (likely(PyInt_CheckExact(b))) {
14069  if (sizeof(Py_ssize_t) >= sizeof(long))
14070  return PyInt_AS_LONG(b);
14071  else
14072  return PyInt_AsSsize_t(b);
14073  }
14074 #endif
14075  if (likely(PyLong_CheckExact(b))) {
14076  #if CYTHON_USE_PYLONG_INTERNALS
14077  const digit* digits = ((PyLongObject*)b)->ob_digit;
14078  const Py_ssize_t size = Py_SIZE(b);
14079  if (likely(__Pyx_sst_abs(size) <= 1)) {
14080  ival = likely(size) ? digits[0] : 0;
14081  if (size == -1) ival = -ival;
14082  return ival;
14083  } else {
14084  switch (size) {
14085  case 2:
14086  if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
14087  return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
14088  }
14089  break;
14090  case -2:
14091  if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
14092  return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
14093  }
14094  break;
14095  case 3:
14096  if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
14097  return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
14098  }
14099  break;
14100  case -3:
14101  if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
14102  return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
14103  }
14104  break;
14105  case 4:
14106  if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
14107  return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
14108  }
14109  break;
14110  case -4:
14111  if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
14112  return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
14113  }
14114  break;
14115  }
14116  }
14117  #endif
14118  return PyLong_AsSsize_t(b);
14119  }
14120  x = PyNumber_Index(b);
14121  if (!x) return -1;
14122  ival = PyInt_AsSsize_t(x);
14123  Py_DECREF(x);
14124  return ival;
14125 }
14126 static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
14127  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
14128  return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
14129 #if PY_MAJOR_VERSION < 3
14130  } else if (likely(PyInt_CheckExact(o))) {
14131  return PyInt_AS_LONG(o);
14132 #endif
14133  } else {
14134  Py_ssize_t ival;
14135  PyObject *x;
14136  x = PyNumber_Index(o);
14137  if (!x) return -1;
14138  ival = PyInt_AsLong(x);
14139  Py_DECREF(x);
14140  return ival;
14141  }
14142 }
14143 static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
14144  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
14145 }
14146 static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
14147  return PyInt_FromSize_t(ival);
14148 }
14149 
14150 
14151 #endif /* Py_PYTHON_H */
LinearADR_Sine_diffusiveVelocity
int LinearADR_Sine_diffusiveVelocity(int *iwork, double *rwork, int nPoints, double t, double *x, double *f)
Linear Avection Diffusion Reaction Sine function (diffusive velocity)
Definition: analyticalSolutions.c:802
STflowSphere_Vy
int STflowSphere_Vy(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Stokes Flow around moving Sphere.
Definition: analyticalSolutions.c:1992
diffusionSin1D_r
int diffusionSin1D_r(int *iwork, double *rwork, int nPoints, double t, double *x, double *u, double *r)
Sinusoidal 1D diffusion (reaction)
Definition: analyticalSolutions.c:172
poissonsEquationExp3D
int poissonsEquationExp3D(int *iwork, double *rwork, int nPoints, double t, double *X, double *u)
Poisson Exponential Equation 3D.
Definition: analyticalSolutions.c:1690
LinearADR_Sine_dr
int LinearADR_Sine_dr(int *iwork, double *rwork, int nPoints, double t, double *x, double *u, double *dr)
Linear Avection Diffusion Reaction Sine function (dr)
Definition: analyticalSolutions.c:851
PoiseuillePipeFlow_P
int PoiseuillePipeFlow_P(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Poiseuille Flow through a circular pipe.
Definition: analyticalSolutions.c:1554
NonlinearADR_Decay_DiracIC_dr
int NonlinearADR_Decay_DiracIC_dr(int *iwork, double *rwork, int nPoints, double T, double *x, double *u, double *dr)
Non Linear Avection Diffusion Reaction Decay Dirac Initial Condition (dr)
Definition: analyticalSolutions.c:1216
poissonsEquationExp2D
int poissonsEquationExp2D(int *iwork, double *rwork, int nPoints, double t, double *X, double *u)
Poisson Exponential Equation 2D.
Definition: analyticalSolutions.c:1659
f
Double f
Definition: Headers.h:64
LinearAD_DiracIC_advectiveVelocity
int LinearAD_DiracIC_advectiveVelocity(int *iwork, double *rwork, int nPoints, double T, double *x, double *f)
Linear Advective Diffusion Dirac Initial Condition(advective velocity)
Definition: analyticalSolutions.c:337
poissonsEquationExp1D_r
int poissonsEquationExp1D_r(int *iwork, double *rwork, int nPoints, double t, double *X, double *u, double *r)
Poisson Exponential Equation 1D (reaction)
Definition: analyticalSolutions.c:1754
poissonsEquationExp1D
int poissonsEquationExp1D(int *iwork, double *rwork, int nPoints, double t, double *X, double *u)
Poisson Exponential Equation 1D.
Definition: analyticalSolutions.c:1620
s
Double s
Definition: Headers.h:84
NonlinearDAE_f
int NonlinearDAE_f(int *iwork, double *rwork, int nPoints, double t, double *x, double *f)
Nonlinear Differential-algebraic equations.
Definition: analyticalSolutions.c:1330
NonlinearDAE
int NonlinearDAE(int *iwork, double *rwork, int nPoints, double T, double *x, double *u)
Nonlinear Differential-algebraic equations.
Definition: analyticalSolutions.c:1287
PoiseuillePipeFlow
int PoiseuillePipeFlow(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Poiseuille Flow through a circular pipe.
Definition: analyticalSolutions.c:1466
n
Int n
Definition: Headers.h:28
diffusionSin2D
int diffusionSin2D(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Sinusoidal 2D diffusion.
Definition: analyticalSolutions.c:111
diffusionSin3D
int diffusionSin3D(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Sinusoidal 3D diffusion.
Definition: analyticalSolutions.c:141
LinearAD_SteadyState
int LinearAD_SteadyState(int *iwork, double *rwork, int nPoints, double t, double *X, double *u)
Linear Advection-Diffusion Steady State.
Definition: analyticalSolutions.c:508
v
Double v
Definition: Headers.h:95
NonlinearADR_Decay_DiracIC_r
int NonlinearADR_Decay_DiracIC_r(int *iwork, double *rwork, int nPoints, double T, double *x, double *u, double *r)
Non Linear Avection Diffusion Reaction Decay Dirac Initial Condition (reaction)
Definition: analyticalSolutions.c:1257
STflowSphere_Vx
int STflowSphere_Vx(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Stokes Flow around moving Sphere.
Definition: analyticalSolutions.c:1929
poissonsEquationExp3D_dr
int poissonsEquationExp3D_dr(int *iwork, double *rwork, int nPoints, double t, double *X, double *u, double *dr)
Poisson Exponential Equation 3D (dr)
Definition: analyticalSolutions.c:1724
LinearADR_Sine_du
int LinearADR_Sine_du(int *iwork, double *rwork, int nPoints, double t, double *x, double *f)
Linear Avection Diffusion Reaction Sine function (du)
Definition: analyticalSolutions.c:890
T
Double T
Definition: Headers.h:87
poissonsEquationExp3D_r
int poissonsEquationExp3D_r(int *iwork, double *rwork, int nPoints, double t, double *X, double *u, double *r)
Poisson Exponential Equation 3D (reaction)
Definition: analyticalSolutions.c:1822
z
Double * z
Definition: Headers.h:49
u
Double u
Definition: Headers.h:89
c
Double c
Definition: Headers.h:54
LinearADR_Sine_advectiveVelocity
int LinearADR_Sine_advectiveVelocity(int *iwork, double *rwork, int nPoints, double t, double *x, double *f)
Linear Avection Diffusion Reaction Sine function (advective velocity)
Definition: analyticalSolutions.c:749
diffusionSin2D_r
int diffusionSin2D_r(int *iwork, double *rwork, int nPoints, double t, double *x, double *u, double *r)
Sinusoidal 2D diffusion (reaction)
Definition: analyticalSolutions.c:200
poissonsEquationExp2D_r
int poissonsEquationExp2D_r(int *iwork, double *rwork, int nPoints, double t, double *X, double *u, double *r)
Poisson Exponential Equation 2D (reaction)
Definition: analyticalSolutions.c:1787
NonlinearADR_Decay_DiracIC
int NonlinearADR_Decay_DiracIC(int *iwork, double *rwork, int nPoints, double T, double *x, double *u)
Non Linear Avection Diffusion Reaction Decay Dirac Initial Condition.
Definition: analyticalSolutions.c:1164
PlaneCouetteFlow_u
int PlaneCouetteFlow_u(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Couette Flow between two parallel plates. One moving relative to the other with constant seperation (...
Definition: analyticalSolutions.c:36
LinearADR_Decay_DiracIC
int LinearADR_Decay_DiracIC(int *iwork, double *rwork, int nPoints, double T, double *x, double *u)
Linear Avection Diffusion Reaction Decay Dirac Initial Condition.
Definition: analyticalSolutions.c:566
STflowSphere_Vz
int STflowSphere_Vz(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Stokes Flow around moving Sphere.
Definition: analyticalSolutions.c:2055
LinearAD_DiracIC_totalVelocity
int LinearAD_DiracIC_totalVelocity(int *iwork, double *rwork, int nPoints, double T, double *x, double *f)
Linear Advective Diffusion Dirac Initial Condition(total velocity)
Definition: analyticalSolutions.c:471
LinearADR_Decay_DiracIC_r
int LinearADR_Decay_DiracIC_r(int *iwork, double *rwork, int nPoints, double T, double *x, double *u, double *r)
Linear Avection Diffusion Reaction Decay Dirac Initial Condition (reaction)
Definition: analyticalSolutions.c:652
LinearADR_Sine_totalVelocity
int LinearADR_Sine_totalVelocity(int *iwork, double *rwork, int nPoints, double t, double *x, double *f)
Linear Avection Diffusion Reaction Sine function (total velocity)
Definition: analyticalSolutions.c:997
LinearADR_Sine_r
int LinearADR_Sine_r(int *iwork, double *rwork, int nPoints, double t, double *x, double *u, double *r)
Linear Avection Diffusion Reaction Sine function (reaction)
Definition: analyticalSolutions.c:938
LinearAD_DiracIC_du
int LinearAD_DiracIC_du(int *iwork, double *rwork, int nPoints, double T, double *x, double *f)
Linear Advective Diffusion Dirac Initial Condition (du)
Definition: analyticalSolutions.c:423
LinearADR_Sine
int LinearADR_Sine(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Linear Avection Diffusion Reaction Sine function.
Definition: analyticalSolutions.c:691
LinearAD_DiracIC
int LinearAD_DiracIC(int *iwork, double *rwork, int nPoints, double T, double *x, double *u)
Linear Advective Diffusion Dirac Initial Condition.
Definition: analyticalSolutions.c:273
LinearAD_DiracIC_diffusiveVelocity
int LinearAD_DiracIC_diffusiveVelocity(int *iwork, double *rwork, int nPoints, double T, double *x, double *f)
Linear Advective Diffusion Dirac Initial Condition(diffusive velocity)
Definition: analyticalSolutions.c:381
PlanePoiseuilleFlow_u
int PlanePoiseuilleFlow_u(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Poiseuille Flow between two parallel fixed plates with constant seperation (width).
Definition: analyticalSolutions.c:1380
r
Double r
Definition: Headers.h:83
NonlinearAD_SteadyState
int NonlinearAD_SteadyState(int *iwork, double *rwork, int nPoints, double t, double *X, double *u)
Nonlinear Advection-Diffusion Steady State.
Definition: analyticalSolutions.c:1036
analyticalSolutions.h
LinearADR_Decay_DiracIC_dr
int LinearADR_Decay_DiracIC_dr(int *iwork, double *rwork, int nPoints, double T, double *x, double *u, double *dr)
Linear Avection Diffusion Reaction Decay Dirac Initial Condition (dr)
Definition: analyticalSolutions.c:613
pos
double pos(double a)
Definition: testFMMandFSW.cpp:8
STflowSphere_P
int STflowSphere_P(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Stokes Flow around moving Sphere.
Definition: analyticalSolutions.c:1864
diffusionSin3D_r
int diffusionSin3D_r(int *iwork, double *rwork, int nPoints, double t, double *x, double *u, double *r)
Sinusoidal 3D diffusion (reaction)
Definition: analyticalSolutions.c:231
diffusionSin1D
int diffusionSin1D(int *iwork, double *rwork, int nPoints, double t, double *x, double *u)
Sinusoidal 1D diffusion.
Definition: analyticalSolutions.c:84
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