/* Generated by Cython 0.18 on Wed Apr 20 18:47:21 2016 */

#define PY_SSIZE_T_CLEAN
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  #define PyBytes_AsStringAndSize      PyString_AsStringAndSize
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  #define PyInt_FromLong               PyLong_FromLong
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  #define PyInt_AsLong                 PyLong_AsLong
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  #define PyInt_AsSsize_t              PyLong_AsSsize_t
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  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
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  #define __Pyx_PySequence_SetSlice(obj, a, b, value) PySequence_SetSlice(obj, a, b, value)
  #define __Pyx_PySequence_DelSlice(obj, a, b) PySequence_DelSlice(obj, a, b)
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  #define __Pyx_PySequence_GetSlice(obj, a, b) (unlikely(!(obj)) ? \
        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), (PyObject*)0) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_GetSlice(obj, a, b)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object is unsliceable", (obj)->ob_type->tp_name), (PyObject*)0)))
  #define __Pyx_PySequence_SetSlice(obj, a, b, value) (unlikely(!(obj)) ? \
        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_SetSlice(obj, a, b, value)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice assignment", (obj)->ob_type->tp_name), -1)))
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        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_DelSlice(obj, a, b)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice deletion", (obj)->ob_type->tp_name), -1)))
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  #define PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func))
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#if PY_VERSION_HEX < 0x02050000
  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),((char *)(n)))
  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),((char *)(n)),(a))
  #define __Pyx_DelAttrString(o,n)   PyObject_DelAttrString((o),((char *)(n)))
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  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),(n))
  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),(n),(a))
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  #define __Pyx_DOCSTR(n)  ((char *)(n))
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  #define __Pyx_NAMESTR(n) (n)
  #define __Pyx_DOCSTR(n)  (n)
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#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
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  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
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#ifndef __PYX_EXTERN_C
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  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#if defined(WIN32) || defined(MS_WINDOWS)
#define _USE_MATH_DEFINES
#endif
#include <math.h>
#define __PYX_HAVE__assimulo__solvers__kinsol
#define __PYX_HAVE_API__assimulo__solvers__kinsol
#include "string.h"
#include "stdio.h"
#include "stdlib.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "sundials/sundials_types.h"
#include "sundials/sundials_nvector.h"
#include "nvector/nvector_serial.h"
#include "sundials/sundials_direct.h"
#include "sundials/sundials_sparse.h"
#include "cvodes/cvodes.h"
#include "cvodes/cvodes_dense.h"
#include "cvodes/cvodes_spgmr.h"
#include "cvodes/cvodes_sparse.h"
#include "cvodes/cvodes_spils.h"
#include "idas/idas.h"
#include "idas/idas_dense.h"
#include "idas/idas_spils.h"
#include "kinsol/kinsol.h"
#include "kinsol/kinsol_direct.h"
#include "kinsol/kinsol_dense.h"
#include "kinsol/kinsol_spgmr.h"
#include "kinsol/kinsol_spils.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
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#ifndef CYTHON_INLINE
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    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
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    #define CYTHON_INLINE inline
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    #define CYTHON_INLINE
  #endif
#endif
#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
typedef struct {PyObject **p; char *s; const long n; const char* encoding; const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /*proto*/

#define __Pyx_PyBytes_FromUString(s) PyBytes_FromString((char*)s)
#define __Pyx_PyBytes_AsUString(s)   ((unsigned char*) PyBytes_AsString(s))
#define __Pyx_Owned_Py_None(b) (Py_INCREF(Py_None), Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? (Py_INCREF(Py_True), Py_True) : (Py_INCREF(Py_False), Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x);
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject*);
#if CYTHON_COMPILING_IN_CPYTHON
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))


#ifdef __GNUC__
  /* Test for GCC > 2.95 */
  #if __GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95))
    #define likely(x)   __builtin_expect(!!(x), 1)
    #define unlikely(x) __builtin_expect(!!(x), 0)
  #else /* __GNUC__ > 2 ... */
    #define likely(x)   (x)
    #define unlikely(x) (x)
  #endif /* __GNUC__ > 2 ... */
#else /* __GNUC__ */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
    
static PyObject *__pyx_m;
static PyObject *__pyx_b;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif defined(_Complex_I)
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif


static const char *__pyx_f[] = {
  "kinsol.pyx",
  "sundials_callbacks.pxi",
  "sundials_includes.pxd",
  "numpy.pxd",
  "type.pxd",
  "constants.pxi",
};
#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name; /* for error messages only */
  struct __Pyx_StructField_* fields;
  size_t size;     /* sizeof(type) */
  size_t arraysize[8]; /* length of array in each dimension */
  int ndim;
  char typegroup; /* _R_eal, _C_omplex, Signed _I_nt, _U_nsigned int, _S_truct, _P_ointer, _O_bject, c_H_ar */
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
  __Pyx_TypeInfo* type;
  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
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} __Pyx_BufFmt_StackElem;
typedef struct {
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  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  size_t struct_alignment;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;


/* "numpy.pxd":723
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "numpy.pxd":724
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "numpy.pxd":725
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "numpy.pxd":726
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "numpy.pxd":730
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "numpy.pxd":731
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "numpy.pxd":732
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "numpy.pxd":733
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "numpy.pxd":737
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "numpy.pxd":738
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "numpy.pxd":747
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "numpy.pxd":748
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "numpy.pxd":749
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "numpy.pxd":751
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "numpy.pxd":752
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "numpy.pxd":753
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "numpy.pxd":755
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "numpy.pxd":756
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "numpy.pxd":758
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;

/* "numpy.pxd":759
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "numpy.pxd":760
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
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#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif


/*--- Type declarations ---*/
struct __pyx_obj_8assimulo_9algebraic_Algebraic;
struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL;
struct __pyx_obj_8assimulo_7solvers_6kinsol_ProblemData;
struct __pyx_obj_8assimulo_7solvers_6kinsol_ProblemDataEquationSolver;

/* "numpy.pxd":762
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "numpy.pxd":763
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "numpy.pxd":764
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "numpy.pxd":766
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_opt_args_8assimulo_9algebraic_9Algebraic_solve;

/* "assimulo\algebraic.pxd":35
 * 
 *     cpdef log_message(self, message, int level)
 *     cpdef solve(self, object y=*)             # <<<<<<<<<<<<<<
 * 
 *     cpdef finalize(self)
 */
struct __pyx_opt_args_8assimulo_9algebraic_9Algebraic_solve {
  int __pyx_n;
  PyObject *y;
};
struct __pyx_opt_args_8assimulo_7solvers_6kinsol_6KINSOL__solve;

/* "assimulo\solvers\kinsol.pyx":326
 *             return 3
 * 
 *     cpdef _solve(self, y0=None):             # <<<<<<<<<<<<<<
 *         """
 *         Solves the system.
 */
struct __pyx_opt_args_8assimulo_7solvers_6kinsol_6KINSOL__solve {
  int __pyx_n;
  PyObject *y0;
};

/* "assimulo\algebraic.pxd":21
 * cimport numpy as N
 * 
 * cdef class Algebraic:             # <<<<<<<<<<<<<<
 *     cdef public object problem
 *     cdef public dict options, solver_options, problem_info
 */
struct __pyx_obj_8assimulo_9algebraic_Algebraic {
  PyObject_HEAD
  struct __pyx_vtabstruct_8assimulo_9algebraic_Algebraic *__pyx_vtab;
  PyObject *problem;
  PyObject *options;
  PyObject *solver_options;
  PyObject *problem_info;
  PyObject *statistics;
  PyArrayObject *y;
  PyArrayObject *y0;
  double elapsed_step_time;
  double clock_start;
};


/* "assimulo\solvers\kinsol.pyx":42
 * include "../lib/sundials_callbacks.pxi"
 * 
 * cdef class KINSOL(Algebraic):             # <<<<<<<<<<<<<<
 *     """
 *     This class provides a connection to the Sundials
 */
struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL {
  struct __pyx_obj_8assimulo_9algebraic_Algebraic __pyx_base;
  void *kinsol_mem;
  struct __pyx_obj_8assimulo_7solvers_6kinsol_ProblemDataEquationSolver *pData;
  N_Vector y_temp;
  N_Vector y_scale;
  N_Vector f_scale;
  double _eps;
  PyObject *pt_fcn;
  PyObject *pt_jac;
  PyObject *pt_jacv;
  PyObject *pt_prec_setup;
  PyObject *pt_prec_solve;
  PyObject *_added_linear_solver;
};


/* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":734
 * 
 * 
 * cdef class ProblemData:             # <<<<<<<<<<<<<<
 *     cdef:
 *         void *RHS          #Should store the residual or the right-hand-side
 */
struct __pyx_obj_8assimulo_7solvers_6kinsol_ProblemData {
  PyObject_HEAD
  struct __pyx_vtabstruct_8assimulo_7solvers_6kinsol_ProblemData *__pyx_vtab;
  void *RHS;
  void *RHS_SENS_ALL;
  void *ROOT;
  void *JAC;
  void *JACV;
  void *SENS;
  void *PREC_SOLVE;
  void *PREC_SETUP;
  void *y;
  void *yd;
  void *sw;
  realtype *p;
  realtype *pbar;
  int dim;
  int dimRoot;
  int dimSens;
  int memSize;
  int memSizeRoot;
  int memSizeJac;
  int verbose;
  PyObject *PREC_DATA;
  PyArrayObject *work_y;
  PyArrayObject *work_yd;
  PyArrayObject *work_ys;
};


/* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":767
 * 
 * 
 * cdef class ProblemDataEquationSolver:             # <<<<<<<<<<<<<<
 *     cdef:
 *         void *RES          # Residual
 */
struct __pyx_obj_8assimulo_7solvers_6kinsol_ProblemDataEquationSolver {
  PyObject_HEAD
  void *RES;
  void *JAC;
  void *JACV;
  void *PREC_SOLVE;
  void *PREC_SETUP;
  int dim;
  void *KIN_MEM;
  PyObject *nl_fnorm;
  PyObject *l_fnorm;
  PyObject *log;
};



/* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":734
 * 
 * 
 * cdef class ProblemData:             # <<<<<<<<<<<<<<
 *     cdef:
 *         void *RHS          #Should store the residual or the right-hand-side
 */

struct __pyx_vtabstruct_8assimulo_7solvers_6kinsol_ProblemData {
  PyObject *(*create_work_arrays)(struct __pyx_obj_8assimulo_7solvers_6kinsol_ProblemData *);
};
static struct __pyx_vtabstruct_8assimulo_7solvers_6kinsol_ProblemData *__pyx_vtabptr_8assimulo_7solvers_6kinsol_ProblemData;


/* "assimulo\algebraic.pxd":21
 * cimport numpy as N
 * 
 * cdef class Algebraic:             # <<<<<<<<<<<<<<
 *     cdef public object problem
 *     cdef public dict options, solver_options, problem_info
 */

struct __pyx_vtabstruct_8assimulo_9algebraic_Algebraic {
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  PyObject *(*solve)(struct __pyx_obj_8assimulo_9algebraic_Algebraic *, int __pyx_skip_dispatch, struct __pyx_opt_args_8assimulo_9algebraic_9Algebraic_solve *__pyx_optional_args);
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  PyObject *(*initialize)(struct __pyx_obj_8assimulo_9algebraic_Algebraic *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_8assimulo_9algebraic_Algebraic *__pyx_vtabptr_8assimulo_9algebraic_Algebraic;


/* "assimulo\solvers\kinsol.pyx":42
 * include "../lib/sundials_callbacks.pxi"
 * 
 * cdef class KINSOL(Algebraic):             # <<<<<<<<<<<<<<
 *     """
 *     This class provides a connection to the Sundials
 */

struct __pyx_vtabstruct_8assimulo_7solvers_6kinsol_KINSOL {
  struct __pyx_vtabstruct_8assimulo_9algebraic_Algebraic __pyx_base;
  PyObject *(*set_problem_data)(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *);
  PyObject *(*initialize_kinsol)(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *);
  PyObject *(*add_linear_solver)(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *, int __pyx_skip_dispatch);
  PyObject *(*update_options)(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *, int __pyx_skip_dispatch);
  PyObject *(*_solve)(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *, int __pyx_skip_dispatch, struct __pyx_opt_args_8assimulo_7solvers_6kinsol_6KINSOL__solve *__pyx_optional_args);
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static struct __pyx_vtabstruct_8assimulo_7solvers_6kinsol_KINSOL *__pyx_vtabptr_8assimulo_7solvers_6kinsol_KINSOL;
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static void __Pyx_WriteUnraisable(const char *name, int clineno,
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/* Module declarations from 'cpython.buffer' */

/* Module declarations from 'cpython.ref' */

/* Module declarations from 'libc.string' */

/* Module declarations from 'libc.stdio' */

/* Module declarations from 'cpython.object' */

/* Module declarations from '__builtin__' */

/* Module declarations from 'cpython.type' */
static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;

/* Module declarations from 'libc.stdlib' */

/* Module declarations from 'numpy' */

/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
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/* Module declarations from 'assimulo.algebraic' */
static PyTypeObject *__pyx_ptype_8assimulo_9algebraic_Algebraic = 0;

/* Module declarations from 'sundials_includes' */

/* Module declarations from 'cython' */

/* Module declarations from 'assimulo.solvers.kinsol' */
static PyTypeObject *__pyx_ptype_8assimulo_7solvers_6kinsol_ProblemData = 0;
static PyTypeObject *__pyx_ptype_8assimulo_7solvers_6kinsol_ProblemDataEquationSolver = 0;
static PyTypeObject *__pyx_ptype_8assimulo_7solvers_6kinsol_KINSOL = 0;
static int __pyx_f_8assimulo_7solvers_6kinsol_kin_jac(int, N_Vector, N_Vector, DlsMat, void *, N_Vector, N_Vector); /*proto*/
static int __pyx_f_8assimulo_7solvers_6kinsol_kin_jacv(N_Vector, N_Vector, N_Vector, int, void *); /*proto*/
static int __pyx_f_8assimulo_7solvers_6kinsol_kin_res(N_Vector, N_Vector, void *); /*proto*/
static int __pyx_f_8assimulo_7solvers_6kinsol_kin_prec_solve(N_Vector, N_Vector, N_Vector, N_Vector, N_Vector, void *, N_Vector); /*proto*/
static int __pyx_f_8assimulo_7solvers_6kinsol_kin_prec_setup(N_Vector, N_Vector, N_Vector, N_Vector, void *, N_Vector, N_Vector); /*proto*/
static void __pyx_f_8assimulo_7solvers_6kinsol_kin_err(int, char *, char *, char *, void *); /*proto*/
static void __pyx_f_8assimulo_7solvers_6kinsol_kin_info(char *, char *, char *, void *); /*proto*/
static N_Vector __pyx_f_8assimulo_7solvers_6kinsol_N_VNewEmpty_Euclidean(long); /*proto*/
static CYTHON_INLINE N_Vector __pyx_f_8assimulo_7solvers_6kinsol_arr2nv(PyObject *); /*proto*/
static CYTHON_INLINE void __pyx_f_8assimulo_7solvers_6kinsol_arr2nv_inplace(PyObject *, N_Vector); /*proto*/
static CYTHON_INLINE PyArrayObject *__pyx_f_8assimulo_7solvers_6kinsol_nv2arr(N_Vector); /*proto*/
static CYTHON_INLINE void __pyx_f_8assimulo_7solvers_6kinsol_nv2arr_inplace(N_Vector, PyArrayObject *); /*proto*/
static CYTHON_INLINE void __pyx_f_8assimulo_7solvers_6kinsol_nv2mat_inplace(int, N_Vector *, PyArrayObject *); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8assimulo_7solvers_6kinsol_realtype2arr(realtype *, int); /*proto*/
static __Pyx_TypeInfo __Pyx_TypeInfo_nn_realtype = { "realtype", NULL, sizeof(realtype), { 0 }, 0, 'R', 0, 0 };
#define __Pyx_MODULE_NAME "assimulo.solvers.kinsol"
int __pyx_module_is_main_assimulo__solvers__kinsol = 0;

/* Implementation of 'assimulo.solvers.kinsol' */
static PyObject *__pyx_builtin_property;
static PyObject *__pyx_builtin_Exception;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_ZeroDivisionError;
static PyObject *__pyx_builtin_KeyError;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_RuntimeError;
static int __pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL___init__(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_problem); /* proto */
static void __pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_2__dealloc__(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_4update_variable_scaling(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_6update_residual_scaling(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_8add_linear_solver(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_10update_options(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_12_get_print_level(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_14_solve(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_y0); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_16get_last_flag(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_18store_statistics(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_20print_statistics(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_verbose); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_22_set_ftol_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_ftol); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_24_get_ftol_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_26_set_stol_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_stol); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_28_get_stol_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_30_set_max_iter_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_max_iter); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_32_get_max_iter_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_34_set_no_initial_setup_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_no_initial_setup); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_36_get_no_initial_setup_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_38_set_max_solves_between_setup_calls_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_max_solves_between_setup_calls); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_40_get_max_solves_between_setup_calls_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_42_set_max_newton_step_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_max_newton_step); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_44_get_max_newton_step_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_46_set_no_min_epsilon_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_no_min_epsilon); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_48_get_no_min_epsilon_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_50_set_max_beta_fails_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_max_beta_fails); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_52_get_max_beta_fails_method(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_54_set_linear_solver(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_lsolver); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_56_get_linear_solver(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_58_set_globalization_strategy(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_lsolver); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_60_get_globalization_strategy(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_62_set_max_krylov(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_max_krylov); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_64_get_max_krylov(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_66get_residual_norm_nonlinear_iterations(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_68get_residual_norm_linear_iterations(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_70get_log(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_4_eps___get__(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self); /* proto */
static int __pyx_pf_8assimulo_7solvers_6kinsol_6KINSOL_4_eps_2__set__(struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_11KINSOLError___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_8assimulo_7solvers_6kinsol_11KINSOLError_2__str__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static char __pyx_k_1[] = "AssimuloRecoverableError";
static char __pyx_k_2[] = "The Jacobian must be stored on Scipy's CSC format.";
static char __pyx_k_4[] = "The Jacobian has more entries than supplied to the problem class via 'jac_nnz'";
static char __pyx_k_6[] = "Error occured in <function: %s>.";
static char __pyx_k_7[] = "<message: %s>";
static char __pyx_k_8[] = "[CVode Warning]";
static char __pyx_k_9[] = "[CVode Error]";
static char __pyx_k_10[] = "[IDA Warning]";
static char __pyx_k_11[] = "[IDA Error]";
static char __pyx_k_13[] = "max_solves_between_setup_calls";
static char __pyx_k_16[] = "Scaled step length too small. Either an approximate solution or a local minimum is reached. Check value of residual.";
static char __pyx_k_18[] = "Final Run Statistics: %s \n";
static char __pyx_k_19[] = " Number of function evaluations              : ";
static char __pyx_k_20[] = " Number of Nonlinear Iterations              : ";
static char __pyx_k_21[] = " Number of Backtrack Operations (Linesearch) : ";
static char __pyx_k_22[] = " Number of Beta-condition Failures           : ";
static char __pyx_k_23[] = " Number of Jacobian*Vector Evaluations       : ";
static char __pyx_k_24[] = " Number of F-Eval During Jac*Vec-Eval        : ";
static char __pyx_k_25[] = " Number of Linear Iterations                 : ";
static char __pyx_k_26[] = " Number of Linear Convergence Failures       : ";
static char __pyx_k_27[] = " Number of Jacobian evaluations              : ";
static char __pyx_k_28[] = " Number of F-eval during Jac-eval            : ";
static char __pyx_k_29[] = "\nSolver options:\n";
static char __pyx_k_30[] = " Solver                  : Kinsol";
static char __pyx_k_31[] = " Linear Solver           : ";
static char __pyx_k_32[] = " Globalization Strategy  : ";
static char __pyx_k_33[] = " Function Tolerances     : ";
static char __pyx_k_34[] = " Step Tolerances         : ";
static char __pyx_k_35[] = " Variable Scaling        : ";
static char __pyx_k_36[] = " Function Scaling        : ";
static char __pyx_k_37[] = "";
static char __pyx_k_38[] = "The linear solver must be either \"DENSE\" or \"SPGMR\".";
static char __pyx_k_40[] = "The linear solver must be either \"LINESEARCH\" or \"NONE\".";
static char __pyx_k_42[] = "Maximum number of krylov dimension should be an integer.";
static char __pyx_k_44[] = "Maximum number of krylov dimension should be an positive integer.";
static char __pyx_k_46[] = "Sundials failed with flag %s.";
static char __pyx_k_48[] = "ndarray is not C contiguous";
static char __pyx_k_50[] = "ndarray is not Fortran contiguous";
static char __pyx_k_52[] = "Non-native byte order not supported";
static char __pyx_k_54[] = "unknown dtype code in numpy.pxd (%d)";
static char __pyx_k_55[] = "Format string allocated too short, see comment in numpy.pxd";
static char __pyx_k_58[] = "Format string allocated too short.";
static char __pyx_k_60[] = "numpy.linalg";
static char __pyx_k_61[] = "assimulo.exception";
static char __pyx_k_62[] = "*";
static char __pyx_k_63[] = "_get_max_iter_method";
static char __pyx_k_64[] = "_set_max_iter_method";
static char __pyx_k_65[] = "_get_no_initial_setup_method";
static char __pyx_k_66[] = "_set_no_initial_setup_method";
static char __pyx_k_67[] = "_get_max_solves_between_setup_calls_method";
static char __pyx_k_68[] = "_set_max_solves_between_setup_calls_method";
static char __pyx_k_69[] = "_get_max_newton_step_method";
static char __pyx_k_70[] = "_set_max_newton_step_method";
static char __pyx_k_71[] = "_get_no_min_epsilon_method";
static char __pyx_k_72[] = "_set_no_min_epsilon_method";
static char __pyx_k_73[] = "_get_max_beta_fails_method";
static char __pyx_k_74[] = "_set_max_beta_fails_method";
static char __pyx_k_75[] = "_get_globalization_strategy";
static char __pyx_k_76[] = "_set_globalization_strategy";
static char __pyx_k_77[] = "globalization_strategy";
static char __pyx_k_78[] = "max_dim_krylov_subspace";
static char __pyx_k_79[] = "Memory allocation failed.";
static char __pyx_k_80[] = "KINSOL was not properly created.";
static char __pyx_k_81[] = "There was an input error.";
static char __pyx_k_82[] = "Memory not allocated, call KINSOL_init(...)";
static char __pyx_k_83[] = "Linesearch could not find a step big enough.";
static char __pyx_k_84[] = "Max number of iterations reached";
static char __pyx_k_85[] = "Max size of Newton step exceeded 5 times.";
static char __pyx_k_86[] = "Linesearch beta-test failed, probably because of too poor progress.";
static char __pyx_k_87[] = "psolve encountered an error, but preconditioner is current";
static char __pyx_k_88[] = "Init of linear solver failed.";
static char __pyx_k_89[] = "pset (preconditioner setup fct) encountered an error";
static char __pyx_k_90[] = "Error in either psolve or in linear solver routine.";
static char __pyx_k_91[] = "Call to RES failed.";
static char __pyx_k_92[] = "Call to RHS failed on first call";
static char __pyx_k_93[] = "Call to RHS failed multiple times.";
static char __pyx_k_96[] = "C:\\Development\\Assimulo\\branches\\Assimulo-2.9.x\\build\\assimulo\\solvers\\kinsol.pyx";
static char __pyx_k_97[] = "KINSOLError.__init__";
static char __pyx_k_98[] = "assimulo.solvers.kinsol";
static char __pyx_k__B[] = "B";
static char __pyx_k__H[] = "H";
static char __pyx_k__I[] = "I";
static char __pyx_k__L[] = "L";
static char __pyx_k__N[] = "N";
static char __pyx_k__O[] = "O";
static char __pyx_k__Q[] = "Q";
static char __pyx_k__b[] = "b";
static char __pyx_k__d[] = "d";
static char __pyx_k__f[] = "f";
static char __pyx_k__g[] = "g";
static char __pyx_k__h[] = "h";
static char __pyx_k__i[] = "i";
static char __pyx_k__l[] = "l";
static char __pyx_k__p[] = "p";
static char __pyx_k__q[] = "q";
static char __pyx_k_101[] = "KINSOLError.__str__";
static char __pyx_k_102[] = "  \n    Defines the KINSOLError and provides the textual error message.\n    ";
static char __pyx_k__Zd[] = "Zd";
static char __pyx_k__Zf[] = "Zf";
static char __pyx_k__Zg[] = "Zg";
static char __pyx_k__sw[] = "sw";
static char __pyx_k__y0[] = "y0";
static char __pyx_k__csc[] = "csc";
static char __pyx_k__dim[] = "dim";
static char __pyx_k__eps[] = "eps";
static char __pyx_k__jac[] = "jac";
static char __pyx_k__msg[] = "msg";
static char __pyx_k__nnz[] = "nnz";
static char __pyx_k__res[] = "res";
static char __pyx_k__LOUD[] = "LOUD";
static char __pyx_k__NONE[] = "NONE";
static char __pyx_k__data[] = "data";
static char __pyx_k__ftol[] = "ftol";
static char __pyx_k__jacv[] = "jacv";
static char __pyx_k__name[] = "name";
static char __pyx_k__self[] = "self";
static char __pyx_k__stol[] = "stol";
static char __pyx_k__DENSE[] = "DENSE";
static char __pyx_k__QUIET[] = "QUIET";
static char __pyx_k__SPGMR[] = "SPGMR";
static char __pyx_k__array[] = "array";
static char __pyx_k__empty[] = "empty";
static char __pyx_k__finfo[] = "finfo";
static char __pyx_k__fnorm[] = "fnorm";
static char __pyx_k__numpy[] = "numpy";
static char __pyx_k__range[] = "range";
static char __pyx_k__upper[] = "upper";
static char __pyx_k__value[] = "value";
static char __pyx_k__y_max[] = "y_max";
static char __pyx_k__y_min[] = "y_min";
static char __pyx_k__KINSol[] = "KINSol";
static char __pyx_k__NORMAL[] = "NORMAL";
static char __pyx_k__SCREAM[] = "SCREAM";
static char __pyx_k___solve[] = "_solve";
static char __pyx_k__double[] = "double";
static char __pyx_k__indptr[] = "indptr";
static char __pyx_k__linalg[] = "linalg";
static char __pyx_k__sparse[] = "sparse";
static char __pyx_k__WHISPER[] = "WHISPER";
static char __pyx_k____str__[] = "__str__";
static char __pyx_k__f_scale[] = "f_scale";
static char __pyx_k__indices[] = "indices";
static char __pyx_k__jac_fcn[] = "jac_fcn";
static char __pyx_k__nbacktr[] = "nbacktr";
static char __pyx_k__nfevals[] = "nfevals";
static char __pyx_k__njevals[] = "njevals";
static char __pyx_k__nliters[] = "nliters";
static char __pyx_k__nniters[] = "nniters";
static char __pyx_k__npevals[] = "npevals";
static char __pyx_k__problem[] = "problem";
static char __pyx_k__verbose[] = "verbose";
static char __pyx_k__y_scale[] = "y_scale";
static char __pyx_k__ID_PY_OK[] = "ID_PY_OK";
static char __pyx_k__KeyError[] = "KeyError";
static char __pyx_k____init__[] = "__init__";
static char __pyx_k____main__[] = "__main__";
static char __pyx_k____test__[] = "__test__";
static char __pyx_k__jacv_fcn[] = "jacv_fcn";
static char __pyx_k__max_iter[] = "max_iter";
static char __pyx_k__nbcfails[] = "nbcfails";
static char __pyx_k__nlcfails[] = "nlcfails";
static char __pyx_k__npsolves[] = "npsolves";
static char __pyx_k__property[] = "property";
static char __pyx_k__strategy[] = "strategy";
static char __pyx_k__AUTOMATIC[] = "AUTOMATIC";
static char __pyx_k__Automatic[] = "Automatic";
static char __pyx_k__Exception[] = "Exception";
static char __pyx_k__MAX_VALUE[] = "MAX_VALUE";
static char __pyx_k__MIN_VALUE[] = "MIN_VALUE";
static char __pyx_k__nfevalsLS[] = "nfevalsLS";
static char __pyx_k__print_exc[] = "print_exc";
static char __pyx_k__traceback[] = "traceback";
static char __pyx_k__verbosity[] = "verbosity";
static char __pyx_k__y_nominal[] = "y_nominal";
static char __pyx_k__ID_PY_FAIL[] = "ID_PY_FAIL";
static char __pyx_k__LINESEARCH[] = "LINESEARCH";
static char __pyx_k__ValueError[] = "ValueError";
static char __pyx_k__csc_matrix[] = "csc_matrix";
static char __pyx_k__max_krylov[] = "max_krylov";
static char __pyx_k__prec_setup[] = "prec_setup";
static char __pyx_k__prec_solve[] = "prec_solve";
static char __pyx_k__ID_PY_EVENT[] = "ID_PY_EVENT";
static char __pyx_k__KINSOLError[] = "KINSOLError";
static char __pyx_k__LinAlgError[] = "LinAlgError";
static char __pyx_k__RuntimeError[] = "RuntimeError";
static char __pyx_k__ID_PY_DISCARD[] = "ID_PY_DISCARD";
static char __pyx_k__KIN_LINSEARCH[] = "KIN_LINSEARCH";
static char __pyx_k__linear_solver[] = "linear_solver";
static char __pyx_k__ID_PY_COMPLETE[] = "ID_PY_COMPLETE";
static char __pyx_k__max_beta_fails[] = "max_beta_fails";
static char __pyx_k__no_min_epsilon[] = "no_min_epsilon";
static char __pyx_k__update_options[] = "update_options";
static char __pyx_k___get_max_krylov[] = "_get_max_krylov";
static char __pyx_k___set_max_krylov[] = "_set_max_krylov";
static char __pyx_k__max_newton_step[] = "max_newton_step";
static char __pyx_k___get_ftol_method[] = "_get_ftol_method";
static char __pyx_k___get_print_level[] = "_get_print_level";
static char __pyx_k___get_stol_method[] = "_get_stol_method";
static char __pyx_k___set_ftol_method[] = "_set_ftol_method";
static char __pyx_k___set_stol_method[] = "_set_stol_method";
static char __pyx_k__no_initial_setup[] = "no_initial_setup";
static char __pyx_k__store_statistics[] = "store_statistics";
static char __pyx_k__AssimuloException[] = "AssimuloException";
static char __pyx_k__ZeroDivisionError[] = "ZeroDivisionError";
static char __pyx_k__add_linear_solver[] = "add_linear_solver";
static char __pyx_k___get_linear_solver[] = "_get_linear_solver";
static char __pyx_k___set_linear_solver[] = "_set_linear_solver";
static PyObject *__pyx_n_s_1;
static PyObject *__pyx_kp_s_10;
static PyObject *__pyx_n_s_101;
static PyObject *__pyx_kp_s_102;
static PyObject *__pyx_kp_s_11;
static PyObject *__pyx_n_s_13;
static PyObject *__pyx_kp_s_16;
static PyObject *__pyx_kp_s_18;
static PyObject *__pyx_kp_s_19;
static PyObject *__pyx_kp_s_2;
static PyObject *__pyx_kp_s_20;
static PyObject *__pyx_kp_s_21;
static PyObject *__pyx_kp_s_22;
static PyObject *__pyx_kp_s_23;
static PyObject *__pyx_kp_s_24;
static PyObject *__pyx_kp_s_25;
static PyObject *__pyx_kp_s_26;
static PyObject *__pyx_kp_s_27;
static PyObject *__pyx_kp_s_28;
static PyObject *__pyx_kp_s_29;
static PyObject *__pyx_kp_s_30;
static PyObject *__pyx_kp_s_31;
static PyObject *__pyx_kp_s_32;
static PyObject *__pyx_kp_s_33;
static PyObject *__pyx_kp_s_34;
static PyObject *__pyx_kp_s_35;
static PyObject *__pyx_kp_s_36;
static PyObject *__pyx_kp_s_37;
static PyObject *__pyx_kp_s_38;
static PyObject *__pyx_kp_s_4;
static PyObject *__pyx_kp_s_40;
static PyObject *__pyx_kp_s_42;
static PyObject *__pyx_kp_s_44;
static PyObject *__pyx_kp_s_46;
static PyObject *__pyx_kp_u_48;
static PyObject *__pyx_kp_u_50;
static PyObject *__pyx_kp_u_52;
static PyObject *__pyx_kp_u_54;
static PyObject *__pyx_kp_u_55;
static PyObject *__pyx_kp_u_58;
static PyObject *__pyx_kp_s_6;
static PyObject *__pyx_n_s_60;
static PyObject *__pyx_n_s_61;
static PyObject *__pyx_n_s_62;
static PyObject *__pyx_n_s_63;
static PyObject *__pyx_n_s_64;
static PyObject *__pyx_n_s_65;
static PyObject *__pyx_n_s_66;
static PyObject *__pyx_n_s_67;
static PyObject *__pyx_n_s_68;
static PyObject *__pyx_n_s_69;
static PyObject *__pyx_kp_s_7;
static PyObject *__pyx_n_s_70;
static PyObject *__pyx_n_s_71;
static PyObject *__pyx_n_s_72;
static PyObject *__pyx_n_s_73;
static PyObject *__pyx_n_s_74;
static PyObject *__pyx_n_s_75;
static PyObject *__pyx_n_s_76;
static PyObject *__pyx_n_s_77;
static PyObject *__pyx_n_s_78;
static PyObject *__pyx_kp_s_79;
static PyObject *__pyx_kp_s_8;
static PyObject *__pyx_kp_s_80;
static PyObject *__pyx_kp_s_81;
static PyObject *__pyx_kp_s_82;
static PyObject *__pyx_kp_s_83;
static PyObject *__pyx_kp_s_84;
static PyObject *__pyx_kp_s_85;
static PyObject *__pyx_kp_s_86;
static PyObject *__pyx_kp_s_87;
static PyObject *__pyx_kp_s_88;
static PyObject *__pyx_kp_s_89;
static PyObject *__pyx_kp_s_9;
static PyObject *__pyx_kp_s_90;
static PyObject *__pyx_kp_s_91;
static PyObject *__pyx_kp_s_92;
static PyObject *__pyx_kp_s_93;
static PyObject *__pyx_kp_s_96;
static PyObject *__pyx_n_s_97;
static PyObject *__pyx_n_s_98;
static PyObject *__pyx_n_s__AUTOMATIC;
static PyObject *__pyx_n_s__AssimuloException;
static PyObject *__pyx_n_s__Automatic;
static PyObject *__pyx_n_s__DENSE;
static PyObject *__pyx_n_s__Exception;
static PyObject *__pyx_n_s__ID_PY_COMPLETE;
static PyObject *__pyx_n_s__ID_PY_DISCARD;
static PyObject *__pyx_n_s__ID_PY_EVENT;
static PyObject *__pyx_n_s__ID_PY_FAIL;
static PyObject *__pyx_n_s__ID_PY_OK;
static PyObject *__pyx_n_s__KINSOLError;
static PyObject *__pyx_n_s__KINSol;
static PyObject *__pyx_n_s__KIN_LINSEARCH;
static PyObject *__pyx_n_s__KeyError;
static PyObject *__pyx_n_s__LINESEARCH;
static PyObject *__pyx_n_s__LOUD;
static PyObject *__pyx_n_s__LinAlgError;
static PyObject *__pyx_n_s__MAX_VALUE;
static PyObject *__pyx_n_s__MIN_VALUE;
static PyObject *__pyx_n_s__N;
static PyObject *__pyx_n_s__NONE;
static PyObject *__pyx_n_s__NORMAL;
static PyObject *__pyx_n_s__QUIET;
static PyObject *__pyx_n_s__RuntimeError;
static PyObject *__pyx_n_s__SCREAM;
static PyObject *__pyx_n_s__SPGMR;
static PyObject *__pyx_n_s__ValueError;
static PyObject *__pyx_n_s__WHISPER;
static PyObject *__pyx_n_s__ZeroDivisionError;
static PyObject *__pyx_n_s____init__;
static PyObject *__pyx_n_s____main__;
static PyObject *__pyx_n_s____str__;
static PyObject *__pyx_n_s____test__;
static PyObject *__pyx_n_s___get_ftol_method;
static PyObject *__pyx_n_s___get_linear_solver;
static PyObject *__pyx_n_s___get_max_krylov;
static PyObject *__pyx_n_s___get_print_level;
static PyObject *__pyx_n_s___get_stol_method;
static PyObject *__pyx_n_s___set_ftol_method;
static PyObject *__pyx_n_s___set_linear_solver;
static PyObject *__pyx_n_s___set_max_krylov;
static PyObject *__pyx_n_s___set_stol_method;
static PyObject *__pyx_n_s___solve;
static PyObject *__pyx_n_s__add_linear_solver;
static PyObject *__pyx_n_s__array;
static PyObject *__pyx_n_s__csc;
static PyObject *__pyx_n_s__csc_matrix;
static PyObject *__pyx_n_s__data;
static PyObject *__pyx_n_s__dim;
static PyObject *__pyx_n_s__double;
static PyObject *__pyx_n_s__empty;
static PyObject *__pyx_n_s__eps;
static PyObject *__pyx_n_s__f_scale;
static PyObject *__pyx_n_s__finfo;
static PyObject *__pyx_n_s__fnorm;
static PyObject *__pyx_n_s__ftol;
static PyObject *__pyx_n_s__indices;
static PyObject *__pyx_n_s__indptr;
static PyObject *__pyx_n_s__jac;
static PyObject *__pyx_n_s__jac_fcn;
static PyObject *__pyx_n_s__jacv;
static PyObject *__pyx_n_s__jacv_fcn;
static PyObject *__pyx_n_s__linalg;
static PyObject *__pyx_n_s__linear_solver;
static PyObject *__pyx_n_s__max_beta_fails;
static PyObject *__pyx_n_s__max_iter;
static PyObject *__pyx_n_s__max_krylov;
static PyObject *__pyx_n_s__max_newton_step;
static PyObject *__pyx_n_s__msg;
static PyObject *__pyx_n_s__name;
static PyObject *__pyx_n_s__nbacktr;
static PyObject *__pyx_n_s__nbcfails;
static PyObject *__pyx_n_s__nfevals;
static PyObject *__pyx_n_s__nfevalsLS;
static PyObject *__pyx_n_s__njevals;
static PyObject *__pyx_n_s__nlcfails;
static PyObject *__pyx_n_s__nliters;
static PyObject *__pyx_n_s__nniters;
static PyObject *__pyx_n_s__nnz;
static PyObject *__pyx_n_s__no_initial_setup;
static PyObject *__pyx_n_s__no_min_epsilon;
static PyObject *__pyx_n_s__npevals;
static PyObject *__pyx_n_s__npsolves;
static PyObject *__pyx_n_s__numpy;
static PyObject *__pyx_n_s__p;
static PyObject *__pyx_n_s__prec_setup;
static PyObject *__pyx_n_s__prec_solve;
static PyObject *__pyx_n_s__print_exc;
static PyObject *__pyx_n_s__problem;
static PyObject *__pyx_n_s__property;
static PyObject *__pyx_n_s__range;
static PyObject *__pyx_n_s__res;
static PyObject *__pyx_n_s__self;
static PyObject *__pyx_n_s__sparse;
static PyObject *__pyx_n_s__stol;
static PyObject *__pyx_n_s__store_statistics;
static PyObject *__pyx_n_s__strategy;
static PyObject *__pyx_n_s__sw;
static PyObject *__pyx_n_s__traceback;
static PyObject *__pyx_n_s__update_options;
static PyObject *__pyx_n_s__upper;
static PyObject *__pyx_n_s__value;
static PyObject *__pyx_n_s__verbose;
static PyObject *__pyx_n_s__verbosity;
static PyObject *__pyx_n_s__y0;
static PyObject *__pyx_n_s__y_max;
static PyObject *__pyx_n_s__y_min;
static PyObject *__pyx_n_s__y_nominal;
static PyObject *__pyx_n_s__y_scale;
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_2;
static PyObject *__pyx_int_3;
static PyObject *__pyx_int_6;
static PyObject *__pyx_int_neg_1;
static PyObject *__pyx_int_neg_2;
static PyObject *__pyx_int_neg_3;
static PyObject *__pyx_int_neg_4;
static PyObject *__pyx_int_neg_5;
static PyObject *__pyx_int_neg_6;
static PyObject *__pyx_int_neg_7;
static PyObject *__pyx_int_neg_8;
static PyObject *__pyx_int_neg_9;
static PyObject *__pyx_int_10;
static PyObject *__pyx_int_15;
static PyObject *__pyx_int_20;
static PyObject *__pyx_int_30;
static PyObject *__pyx_int_40;
static PyObject *__pyx_int_50;
static PyObject *__pyx_int_neg_10;
static PyObject *__pyx_int_neg_11;
static PyObject *__pyx_int_neg_12;
static PyObject *__pyx_int_neg_13;
static PyObject *__pyx_int_neg_14;
static PyObject *__pyx_int_neg_15;
static PyObject *__pyx_int_200;
static PyObject *__pyx_int_neg_100;
static PyObject *__pyx_k_17;
static PyObject *__pyx_k_tuple_3;
static PyObject *__pyx_k_tuple_5;
static PyObject *__pyx_k_tuple_12;
static PyObject *__pyx_k_tuple_14;
static PyObject *__pyx_k_tuple_15;
static PyObject *__pyx_k_tuple_39;
static PyObject *__pyx_k_tuple_41;
static PyObject *__pyx_k_tuple_43;
static PyObject *__pyx_k_tuple_45;
static PyObject *__pyx_k_tuple_47;
static PyObject *__pyx_k_tuple_49;
static PyObject *__pyx_k_tuple_51;
static PyObject *__pyx_k_tuple_53;
static PyObject *__pyx_k_tuple_56;
static PyObject *__pyx_k_tuple_57;
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/* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":20
 * import cython
 * 
 * cdef int cv_rhs(realtype t, N_Vector yv, N_Vector yvdot, void* problem_data):             # <<<<<<<<<<<<<<
 *     """
 *     This method is used to connect the Assimulo.Problem.f to the Sundials
 */

static int __pyx_f_8assimulo_7solvers_6kinsol_cv_rhs(realtype __pyx_v_t, N_Vector __pyx_v_yv, N_Vector __pyx_v_yvdot, void *__pyx_v_problem_data) {
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  int __pyx_t_9;
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  /* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":25
 *     right-hand-side function.
 *     """
 *     cdef ProblemData pData = <ProblemData>problem_data             # <<<<<<<<<<<<<<
 *     #cdef ndarray[realtype, ndim=1, mode='c'] rhs #Used for return from the user function
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  /* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":28
 *     #cdef ndarray[realtype, ndim=1, mode='c'] rhs #Used for return from the user function
 *     #(<ndarray>pData.y).data =  <realtype*>((<N_VectorContent_Serial>yv.content).data)
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 *     cdef realtype* resptr=(<N_VectorContent_Serial>yvdot.content).data
 *     cdef int i
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 *     #(<ndarray>pData.y).data =  <realtype*>((<N_VectorContent_Serial>yv.content).data)
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 *     cdef int i
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  /* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":32
 *     cdef int i
 * 
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 * 
 *     if pData.dimSens>0: #Sensitivity activated
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  /* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":34
 *     nv2arr_inplace(yv, y)
 * 
 *     if pData.dimSens>0: #Sensitivity activated             # <<<<<<<<<<<<<<
 *         p = realtype2arr(pData.p,pData.dimSens)
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    /* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":35
 * 
 *     if pData.dimSens>0: #Sensitivity activated
 *         p = realtype2arr(pData.p,pData.dimSens)             # <<<<<<<<<<<<<<
 *         try:
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    /* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":36
 *     if pData.dimSens>0: #Sensitivity activated
 *         p = realtype2arr(pData.p,pData.dimSens)
 *         try:             # <<<<<<<<<<<<<<
 *             if pData.sw != NULL:
 *                 rhs = (<object>pData.RHS)(t,y,sw=<list>pData.sw, p=p)
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      __Pyx_ExceptionSave(&__pyx_t_4, &__pyx_t_5, &__pyx_t_6);
      __Pyx_XGOTREF(__pyx_t_4);
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        /* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":37
 *         p = realtype2arr(pData.p,pData.dimSens)
 *         try:
 *             if pData.sw != NULL:             # <<<<<<<<<<<<<<
 *                 rhs = (<object>pData.RHS)(t,y,sw=<list>pData.sw, p=p)
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          /* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":38
 *         try:
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 *             else:
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 *                 rhs = (<object>pData.RHS)(t,y,p)             # <<<<<<<<<<<<<<
 * 
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 * 
 *             #memcpy((<N_VectorContent_Serial>yvdot.content).data,<realtype*>rhs.data,pData.memSize)
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          /* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":44
 *             #memcpy((<N_VectorContent_Serial>yvdot.content).data,<realtype*>rhs.data,pData.memSize)
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      /* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":47
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 *             return CV_SUCCESS
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 *             return CV_REC_ERR #Recoverable Error (See Sundials description)
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        /* "C:\Development\Assimulo\branches\Assimulo-2.9.x\build\assimulo\solvers\../lib/sundials_callbacks.pxi":48
 *             return CV_SUCCESS
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 * 
 *     else: #No sensitivity
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static int __pyx_tp_clear_8assimulo_7solvers_6kinsol_ProblemData(PyObject *o) {
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  return 0;
}

static PyMethodDef __pyx_methods_8assimulo_7solvers_6kinsol_ProblemData[] = {
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static PyNumberMethods __pyx_tp_as_number_ProblemData = {
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static PySequenceMethods __pyx_tp_as_sequence_ProblemData = {
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};

static PyMappingMethods __pyx_tp_as_mapping_ProblemData = {
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static PyBufferProcs __pyx_tp_as_buffer_ProblemData = {
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static PyTypeObject __pyx_type_8assimulo_7solvers_6kinsol_ProblemData = {
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  __pyx_tp_clear_8assimulo_7solvers_6kinsol_ProblemData, /*tp_clear*/
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  0, /*tp_version_tag*/
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static PyObject *__pyx_tp_new_8assimulo_7solvers_6kinsol_ProblemDataEquationSolver(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_8assimulo_7solvers_6kinsol_ProblemDataEquationSolver *p;
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}

static void __pyx_tp_dealloc_8assimulo_7solvers_6kinsol_ProblemDataEquationSolver(PyObject *o) {
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}

static int __pyx_tp_traverse_8assimulo_7solvers_6kinsol_ProblemDataEquationSolver(PyObject *o, visitproc v, void *a) {
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}

static int __pyx_tp_clear_8assimulo_7solvers_6kinsol_ProblemDataEquationSolver(PyObject *o) {
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}

static PyMethodDef __pyx_methods_8assimulo_7solvers_6kinsol_ProblemDataEquationSolver[] = {
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static PySequenceMethods __pyx_tp_as_sequence_ProblemDataEquationSolver = {
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static PyMappingMethods __pyx_tp_as_mapping_ProblemDataEquationSolver = {
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static PyBufferProcs __pyx_tp_as_buffer_ProblemDataEquationSolver = {
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static PyTypeObject __pyx_type_8assimulo_7solvers_6kinsol_ProblemDataEquationSolver = {
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static struct __pyx_vtabstruct_8assimulo_7solvers_6kinsol_KINSOL __pyx_vtable_8assimulo_7solvers_6kinsol_KINSOL;

static PyObject *__pyx_tp_new_8assimulo_7solvers_6kinsol_KINSOL(PyTypeObject *t, PyObject *a, PyObject *k) {
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  PyObject *o = __pyx_ptype_8assimulo_9algebraic_Algebraic->tp_new(t, a, k);
  if (!o) return 0;
  p = ((struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_8assimulo_9algebraic_Algebraic*)__pyx_vtabptr_8assimulo_7solvers_6kinsol_KINSOL;
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  p->pt_fcn = Py_None; Py_INCREF(Py_None);
  p->pt_jac = Py_None; Py_INCREF(Py_None);
  p->pt_jacv = Py_None; Py_INCREF(Py_None);
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}

static void __pyx_tp_dealloc_8assimulo_7solvers_6kinsol_KINSOL(PyObject *o) {
  struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *p = (struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *)o;
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_pw_8assimulo_7solvers_6kinsol_6KINSOL_3__dealloc__(o);
    if (PyErr_Occurred()) PyErr_WriteUnraisable(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->pData);
  Py_CLEAR(p->pt_fcn);
  Py_CLEAR(p->pt_jac);
  Py_CLEAR(p->pt_jacv);
  Py_CLEAR(p->pt_prec_setup);
  Py_CLEAR(p->pt_prec_solve);
  Py_CLEAR(p->_added_linear_solver);
  PyObject_GC_Track(o);
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}

static int __pyx_tp_traverse_8assimulo_7solvers_6kinsol_KINSOL(PyObject *o, visitproc v, void *a) {
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  struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *p = (struct __pyx_obj_8assimulo_7solvers_6kinsol_KINSOL *)o;
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  }
  if (p->pt_fcn) {
    e = (*v)(p->pt_fcn, a); if (e) return e;
  }
  if (p->pt_jac) {
    e = (*v)(p->pt_jac, a); if (e) return e;
  }
  if (p->pt_jacv) {
    e = (*v)(p->pt_jacv, a); if (e) return e;
  }
  if (p->pt_prec_setup) {
    e = (*v)(p->pt_prec_setup, a); if (e) return e;
  }
  if (p->pt_prec_solve) {
    e = (*v)(p->pt_prec_solve, a); if (e) return e;
  }
  if (p->_added_linear_solver) {
    e = (*v)(p->_added_linear_solver, a); if (e) return e;
  }
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}

static int __pyx_tp_clear_8assimulo_7solvers_6kinsol_KINSOL(PyObject *o) {
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  p->pData = ((struct __pyx_obj_8assimulo_7solvers_6kinsol_ProblemDataEquationSolver *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
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  p->pt_fcn = Py_None; Py_INCREF(Py_None);
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  Py_XDECREF(tmp);
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  p->pt_prec_setup = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->pt_prec_solve);
  p->pt_prec_solve = Py_None; Py_INCREF(Py_None);
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  p->_added_linear_solver = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_8assimulo_7solvers_6kinsol_6KINSOL__eps(PyObject *o, CYTHON_UNUSED void *x) {
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}

static int __pyx_setprop_8assimulo_7solvers_6kinsol_6KINSOL__eps(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
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  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyMethodDef __pyx_methods_8assimulo_7solvers_6kinsol_KINSOL[] = {
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  {__Pyx_NAMESTR("update_residual_scaling"), (PyCFunction)__pyx_pw_8assimulo_7solvers_6kinsol_6KINSOL_7update_residual_scaling, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_8assimulo_7solvers_6kinsol_6KINSOL_6update_residual_scaling)},
  {__Pyx_NAMESTR("add_linear_solver"), (PyCFunction)__pyx_pw_8assimulo_7solvers_6kinsol_6KINSOL_9add_linear_solver, METH_NOARGS, __Pyx_DOCSTR(0)},
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  0, /*nb_inplace_and*/
  0, /*nb_inplace_xor*/
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  0, /*nb_floor_divide*/
  0, /*nb_true_divide*/
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  0, /*nb_inplace_true_divide*/
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  0, /*sq_concat*/
  0, /*sq_repeat*/
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  0, /*sq_slice*/
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static PyBufferProcs __pyx_tp_as_buffer_KINSOL = {
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  0, /*bf_getreadbuffer*/
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  0, /*bf_getwritebuffer*/
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  0, /*bf_getsegcount*/
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  0, /*bf_getcharbuffer*/
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  0, /*tp_compare*/
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  0, /*reserved*/
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  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
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  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
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  0, /*tp_members*/
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  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
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};

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  ctx->root.name = "buffer dtype";
  ctx->root.offset = 0;
  ctx->head = stack;
  ctx->head->field = &ctx->root;
  ctx->fmt_offset = 0;
  ctx->head->parent_offset = 0;
  ctx->new_packmode = '@';
  ctx->enc_packmode = '@';
  ctx->new_count = 1;
  ctx->enc_count = 0;
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  ctx->is_valid_array = 0;
  ctx->struct_alignment = 0;
  while (type->typegroup == 'S') {
    ++ctx->head;
    ctx->head->field = type->fields;
    ctx->head->parent_offset = 0;
    type = type->fields->type;
  }
}
static int __Pyx_BufFmt_ParseNumber(const char** ts) {
    int count;
    const char* t = *ts;
    if (*t < '0' || *t > '9') {
      return -1;
    } else {
        count = *t++ - '0';
        while (*t >= '0' && *t < '9') {
            count *= 10;
            count += *t++ - '0';
        }
    }
    *ts = t;
    return count;
}
static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
    int number = __Pyx_BufFmt_ParseNumber(ts);
    if (number == -1) /* First char was not a digit */
        PyErr_Format(PyExc_ValueError,\
                     "Does not understand character buffer dtype format string ('%c')", **ts);
    return number;
}
static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
  PyErr_Format(PyExc_ValueError,
               "Unexpected format string character: '%c'", ch);
}
static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
  switch (ch) {
    case 'c': return "'char'";
    case 'b': return "'signed char'";
    case 'B': return "'unsigned char'";
    case 'h': return "'short'";
    case 'H': return "'unsigned short'";
    case 'i': return "'int'";
    case 'I': return "'unsigned int'";
    case 'l': return "'long'";
    case 'L': return "'unsigned long'";
    case 'q': return "'long long'";
    case 'Q': return "'unsigned long long'";
    case 'f': return (is_complex ? "'complex float'" : "'float'");
    case 'd': return (is_complex ? "'complex double'" : "'double'");
    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
    case 'T': return "a struct";
    case 'O': return "Python object";
    case 'P': return "a pointer";
    case 's': case 'p': return "a string";
    case 0: return "end";
    default: return "unparseable format string";
  }
}
static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return 2;
    case 'i': case 'I': case 'l': case 'L': return 4;
    case 'q': case 'Q': return 8;
    case 'f': return (is_complex ? 8 : 4);
    case 'd': return (is_complex ? 16 : 8);
    case 'g': {
      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
      return 0;
    }
    case 'O': case 'P': return sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
  switch (ch) {
    case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(short);
    case 'i': case 'I': return sizeof(int);
    case 'l': case 'L': return sizeof(long);
    #ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
    #endif
    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
    case 'O': case 'P': return sizeof(void*);
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
typedef struct { char c; short x; } __Pyx_st_short;
typedef struct { char c; int x; } __Pyx_st_int;
typedef struct { char c; long x; } __Pyx_st_long;
typedef struct { char c; float x; } __Pyx_st_float;
typedef struct { char c; double x; } __Pyx_st_double;
typedef struct { char c; long double x; } __Pyx_st_longdouble;
typedef struct { char c; void *x; } __Pyx_st_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
/* These are for computing the padding at the end of the struct to align
   on the first member of the struct. This will probably the same as above,
   but we don't have any guarantees.
 */
typedef struct { short x; char c; } __Pyx_pad_short;
typedef struct { int x; char c; } __Pyx_pad_int;
typedef struct { long x; char c; } __Pyx_pad_long;
typedef struct { float x; char c; } __Pyx_pad_float;
typedef struct { double x; char c; } __Pyx_pad_double;
typedef struct { long double x; char c; } __Pyx_pad_longdouble;
typedef struct { void *x; char c; } __Pyx_pad_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
  switch (ch) {
    case 'c':
        return 'H';
    case 'b': case 'h': case 'i':
    case 'l': case 'q': case 's': case 'p':
        return 'I';
    case 'B': case 'H': case 'I': case 'L': case 'Q':
        return 'U';
    case 'f': case 'd': case 'g':
        return (is_complex ? 'C' : 'R');
    case 'O':
        return 'O';
    case 'P':
        return 'P';
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
    const char* expected;
    const char* quote;
    if (ctx->head == NULL) {
      expected = "end";
      quote = "";
    } else {
      expected = ctx->head->field->type->name;
      quote = "'";
    }
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected %s%s%s but got %s",
                 quote, expected, quote,
                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
  } else {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_StructField* parent = (ctx->head - 1)->field;
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                 parent->type->name, field->name);
  }
}
static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
  char group;
  size_t size, offset, arraysize = 1;
  if (ctx->enc_type == 0) return 0;
  if (ctx->head->field->type->arraysize[0]) {
    int i, ndim = 0;
    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
        ndim = 1;
        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
            PyErr_Format(PyExc_ValueError,
                         "Expected a dimension of size %zu, got %zu",
                         ctx->head->field->type->arraysize[0], ctx->enc_count);
            return -1;
        }
    }
    if (!ctx->is_valid_array) {
      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                   ctx->head->field->type->ndim, ndim);
      return -1;
    }
    for (i = 0; i < ctx->head->field->type->ndim; i++) {
      arraysize *= ctx->head->field->type->arraysize[i];
    }
    ctx->is_valid_array = 0;
    ctx->enc_count = 1;
  }
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_TypeInfo* type = field->type;
    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->enc_packmode == '@') {
      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      size_t align_mod_offset;
      if (align_at == 0) return -1;
      align_mod_offset = ctx->fmt_offset % align_at;
      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
      if (ctx->struct_alignment == 0)
          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                 ctx->is_complex);
    }
    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
      } else {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
      }
    }
    offset = ctx->head->parent_offset + field->offset;
    if (ctx->fmt_offset != offset) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }
    ctx->fmt_offset += size;
    if (arraysize)
      ctx->fmt_offset += (arraysize - 1) * size;
    --ctx->enc_count; /* Consume from buffer string */
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break; /* breaks both loops as ctx->enc_count == 0 */
      }
      ctx->head->field = ++field;
      if (field->type == NULL) {
        --ctx->head;
        field = ctx->head->field;
        continue;
      } else if (field->type->typegroup == 'S') {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        if (field->type->fields->type == NULL) continue; /* empty struct */
        field = field->type->fields;
        ++ctx->head;
        ctx->head->field = field;
        ctx->head->parent_offset = parent_offset;
        break;
      } else {
        break;
      }
    }
  } while (ctx->enc_count);
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  return 0;
}
static CYTHON_INLINE PyObject *
__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
{
    const char *ts = *tsp;
    int i = 0, number;
    int ndim = ctx->head->field->type->ndim;
;
    ++ts;
    if (ctx->new_count != 1) {
        PyErr_SetString(PyExc_ValueError,
                        "Cannot handle repeated arrays in format string");
        return NULL;
    }
    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
    while (*ts && *ts != ')') {
        if (isspace(*ts))
            continue;
        number = __Pyx_BufFmt_ExpectNumber(&ts);
        if (number == -1) return NULL;
        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
            return PyErr_Format(PyExc_ValueError,
                        "Expected a dimension of size %zu, got %d",
                        ctx->head->field->type->arraysize[i], number);
        if (*ts != ',' && *ts != ')')
            return PyErr_Format(PyExc_ValueError,
                                "Expected a comma in format string, got '%c'", *ts);
        if (*ts == ',') ts++;
        i++;
    }
    if (i != ndim)
        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                            ctx->head->field->type->ndim, i);
    if (!*ts) {
        PyErr_SetString(PyExc_ValueError,
                        "Unexpected end of format string, expected ')'");
        return NULL;
    }
    ctx->is_valid_array = 1;
    ctx->new_count = 1;
    *tsp = ++ts;
    return Py_None;
}
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
  int got_Z = 0;
  while (1) {
    switch(*ts) {
      case 0:
        if (ctx->enc_type != 0 && ctx->head == NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        if (ctx->head != NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
                return ts;
      case ' ':
      case 10:
      case 13:
        ++ts;
        break;
      case '<':
        if (!__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        ctx->new_packmode = *ts++;
        break;
      case 'T': /* substruct */
        {
          const char* ts_after_sub;
          size_t i, struct_count = ctx->new_count;
          size_t struct_alignment = ctx->struct_alignment;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0; /* Erase processed last struct element */
          ctx->enc_count = 0;
          ctx->struct_alignment = 0;
          ++ts;
          ts_after_sub = ts;
          for (i = 0; i != struct_count; ++i) {
            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
            if (!ts_after_sub) return NULL;
          }
          ts = ts_after_sub;
          if (struct_alignment) ctx->struct_alignment = struct_alignment;
        }
        break;
      case '}': /* end of substruct; either repeat or move on */
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0; /* Erase processed last struct element */
          if (alignment && ctx->fmt_offset % alignment) {
            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
          }
        }
        return ts;
      case 'x':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->fmt_offset += ctx->new_count;
        ctx->new_count = 1;
        ctx->enc_count = 0;
        ctx->enc_type = 0;
        ctx->enc_packmode = ctx->new_packmode;
        ++ts;
        break;
      case 'Z':
        got_Z = 1;
        ++ts;
        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
          return NULL;
        }        /* fall through */
      case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
      case 'l': case 'L': case 'q': case 'Q':
      case 'f': case 'd': case 'g':
      case 'O': case 's': case 'p':
        if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
            ctx->enc_packmode == ctx->new_packmode) {
          ctx->enc_count += ctx->new_count;
        } else {
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_count = ctx->new_count;
          ctx->enc_packmode = ctx->new_packmode;
          ctx->enc_type = *ts;
          ctx->is_complex = got_Z;
        }
        ++ts;
        ctx->new_count = 1;
        got_Z = 0;
        break;
      case ':':
        ++ts;
        while(*ts != ':') ++ts;
        ++ts;
        break;
      case '(':
        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
        break;
      default:
        {
          int number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) return NULL;
          ctx->new_count = (size_t)number;
        }
    }
  }
}
static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) {
  buf->buf = NULL;
  buf->obj = NULL;
  buf->strides = __Pyx_zeros;
  buf->shape = __Pyx_zeros;
  buf->suboffsets = __Pyx_minusones;
}
static CYTHON_INLINE int __Pyx_GetBufferAndValidate(
        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
{
  if (obj == Py_None || obj == NULL) {
    __Pyx_ZeroBuffer(buf);
    return 0;
  }
  buf->buf = NULL;
  if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail;
  if (buf->ndim != nd) {
    PyErr_Format(PyExc_ValueError,
                 "Buffer has wrong number of dimensions (expected %d, got %d)",
                 nd, buf->ndim);
    goto fail;
  }
  if (!cast) {
    __Pyx_BufFmt_Context ctx;
    __Pyx_BufFmt_Init(&ctx, stack, dtype);
    if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
  }
  if ((unsigned)buf->itemsize != dtype->size) {
    PyErr_Format(PyExc_ValueError,
      "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
      dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
    goto fail;
  }
  if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
  return 0;
fail:;
  __Pyx_ZeroBuffer(buf);
  return -1;
}
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (info->buf == NULL) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}

static void __Pyx_RaiseBufferFallbackError(void) {
  PyErr_Format(PyExc_ValueError,
     "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
}

static void __Pyx_RaiseBufferIndexError(int axis) {
  PyErr_Format(PyExc_IndexError,
     "Out of bounds on buffer access (axis %d)", axis);
}

static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        #if PY_MAJOR_VERSION >= 3
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
        #endif
}

static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    while (PyDict_Next(kwds, &pos, &key, &value)) {
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
            continue;
        }
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (**name == key) ? 0 :
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key);
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%s() got an unexpected keyword argument '%s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%s() takes %s %" CYTHON_FORMAT_SSIZE_T "d positional argument%s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%s to unpack",
                 index, (index == 1) ? "" : "s");
}

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

static CYTHON_INLINE int __Pyx_IterFinish(void) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(exc_type == PyExc_StopIteration) || PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)) {
            PyObject *exc_value, *exc_tb;
            exc_value = tstate->curexc_value;
            exc_tb = tstate->curexc_traceback;
            tstate->curexc_type = 0;
            tstate->curexc_value = 0;
            tstate->curexc_traceback = 0;
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#else
    if (unlikely(PyErr_Occurred())) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#endif
}

static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}

static void __Pyx_call_next_tp_dealloc(PyObject* obj, destructor current_tp_dealloc) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_dealloc != current_tp_dealloc)
        type = type->tp_base;
    while (type && type->tp_dealloc == current_tp_dealloc)
        type = type->tp_base;
    if (type)
        type->tp_dealloc(obj);
}

static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_traverse != current_tp_traverse)
        type = type->tp_base;
    while (type && type->tp_traverse == current_tp_traverse)
        type = type->tp_base;
    if (type && type->tp_traverse)
        return type->tp_traverse(obj, v, a);
    return 0;
}

static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_clear) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_clear != current_tp_clear)
        type = type->tp_base;
    while (type && type->tp_clear == current_tp_clear)
        type = type->tp_base;
    if (type && type->tp_clear)
        type->tp_clear(obj);
}

static CYTHON_INLINE void __Pyx_ExceptionSave(PyObject **type, PyObject **value, PyObject **tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
#else
    PyErr_GetExcInfo(type, value, tb);
#endif
}
static void __Pyx_ExceptionReset(PyObject *type, PyObject *value, PyObject *tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(type, value, tb);
#endif
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    CYTHON_UNUSED PyObject *getbuffer_cobj;
  #if PY_VERSION_HEX >= 0x02060000
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
  #endif
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
  #if PY_VERSION_HEX < 0x02060000
    if (obj->ob_type->tp_dict &&
        (getbuffer_cobj = PyMapping_GetItemString(obj->ob_type->tp_dict,
                                             "__pyx_getbuffer"))) {
        getbufferproc func;
      #if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION == 3 && PY_MINOR_VERSION == 0)
        func = (getbufferproc) PyCapsule_GetPointer(getbuffer_cobj, "getbuffer(obj, view, flags)");
      #else
        func = (getbufferproc) PyCObject_AsVoidPtr(getbuffer_cobj);
      #endif
        Py_DECREF(getbuffer_cobj);
        if (!func)
            goto fail;
        return func(obj, view, flags);
    } else {
        PyErr_Clear();
    }
  #endif
    PyErr_Format(PyExc_TypeError, "'%100s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
#if PY_VERSION_HEX < 0x02060000
fail:
#endif
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    CYTHON_UNUSED PyObject *releasebuffer_cobj;
    if (!obj) return;
  #if PY_VERSION_HEX >= 0x02060000
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
  #endif
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; }
  #if PY_VERSION_HEX < 0x02060000
    if (obj->ob_type->tp_dict &&
        (releasebuffer_cobj = PyMapping_GetItemString(obj->ob_type->tp_dict,
                                                      "__pyx_releasebuffer"))) {
        releasebufferproc func;
      #if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION == 3 && PY_MINOR_VERSION == 0)
        func = (releasebufferproc) PyCapsule_GetPointer(releasebuffer_cobj, "releasebuffer(obj, view)");
      #else
        func = (releasebufferproc) PyCObject_AsVoidPtr(releasebuffer_cobj);
      #endif
        Py_DECREF(releasebuffer_cobj);
        if (!func)
            goto fail;
        func(obj, view);
        return;
    } else {
        PyErr_Clear();
    }
  #endif
    goto nofail;
#if PY_VERSION_HEX < 0x02060000
fail:
#endif
    PyErr_WriteUnraisable(obj);
nofail:
    Py_DECREF(obj);
    view->obj = NULL;
}
#endif /*  PY_MAJOR_VERSION < 3 */


    static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_VERSION_HEX < 0x03030000
    PyObject *py_import = 0;
    py_import = __Pyx_GetAttrString(__pyx_b, "__import__");
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    #if PY_VERSION_HEX >= 0x02050000
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                #if PY_VERSION_HEX < 0x03030000
                PyObject *py_level = PyInt_FromLong(1);
                if (!py_level)
                    goto bad;
                module = PyObject_CallFunctionObjArgs(py_import,
                    name, global_dict, empty_dict, list, py_level, NULL);
                Py_DECREF(py_level);
                #else
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                #endif
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0; /* try absolute import on failure */
        }
        #endif
        if (!module) {
            #if PY_VERSION_HEX < 0x03030000
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
    #else
    if (level>0) {
        PyErr_SetString(PyExc_RuntimeError, "Relative import is not supported for Python <=2.4.");
        goto bad;
    }
    module = PyObject_CallFunctionObjArgs(py_import,
        name, global_dict, empty_dict, list, NULL);
    #endif
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

static PyObject *__Pyx_FindPy2Metaclass(PyObject *bases) {
    PyObject *metaclass;
#if PY_MAJOR_VERSION < 3
    if (PyTuple_Check(bases) && PyTuple_GET_SIZE(bases) > 0) {
        PyObject *base = PyTuple_GET_ITEM(bases, 0);
        metaclass = PyObject_GetAttrString(base, (char *)"__class__");
        if (!metaclass) {
            PyErr_Clear();
            metaclass = (PyObject*) Py_TYPE(base);
        }
    } else {
        metaclass = (PyObject *) &PyClass_Type;
    }
#else
    if (PyTuple_Check(bases) && PyTuple_GET_SIZE(bases) > 0) {
        PyObject *base = PyTuple_GET_ITEM(bases, 0);
        metaclass = (PyObject*) Py_TYPE(base);
    } else {
        metaclass = (PyObject *) &PyType_Type;
    }
#endif
    Py_INCREF(metaclass);
    return metaclass;
}

static PyObject *__Pyx_CreateClass(PyObject *bases, PyObject *dict, PyObject *name,
                                   PyObject *qualname, PyObject *modname) {
    PyObject *result;
    PyObject *metaclass;
    if (PyDict_SetItemString(dict, "__module__", modname) < 0)
        return NULL;
    if (PyDict_SetItemString(dict, "__qualname__", qualname) < 0)
        return NULL;
    metaclass = PyDict_GetItemString(dict, "__metaclass__");
    if (metaclass) {
        Py_INCREF(metaclass);
    } else {
        metaclass = __Pyx_FindPy2Metaclass(bases);
    }
    result = PyObject_CallFunctionObjArgs(metaclass, name, bases, dict, NULL);
    Py_DECREF(metaclass);
    return result;
}

static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp = op->func_doc;
    if (value == NULL)
        value = Py_None; /* Mark as deleted */
    Py_INCREF(value);
    op->func_doc = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
#else
    if (unlikely(value == NULL || !PyString_Check(value))) {
#endif
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    tmp = op->func_name;
    Py_INCREF(value);
    op->func_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
#else
    if (unlikely(value == NULL || !PyString_Check(value))) {
#endif
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    tmp = op->func_qualname;
    Py_INCREF(value);
    op->func_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
{
    PyObject *self;
    self = m->func_closure;
    if (self == NULL)
        self = Py_None;
    Py_INCREF(self);
    return self;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    tmp = op->func_dict;
    Py_INCREF(value);
    op->func_dict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(CYTHON_UNUSED __pyx_CyFunctionObject *op)
{
    PyObject* dict = PyModule_GetDict(__pyx_m);
    Py_XINCREF(dict);
    return dict;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op)
{
    if (op->defaults_tuple) {
        Py_INCREF(op->defaults_tuple);
        return op->defaults_tuple;
    }
    if (op->defaults_getter) {
        PyObject *res = op->defaults_getter((PyObject *) op);
        if (likely(res)) {
            Py_INCREF(res);
            op->defaults_tuple = res;
        }
        return res;
    }
    Py_INCREF(Py_None);
    return Py_None;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, 0, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, 0, 0, 0},
    {0, 0, 0, 0, 0}
};
#ifndef PY_WRITE_RESTRICTED /* < Py2.5 */
#define PY_WRITE_RESTRICTED WRITE_RESTRICTED
#endif
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(__pyx_CyFunctionObject, func.m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromString(m->func.m_ml->ml_name);
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {__Pyx_NAMESTR("__reduce__"), (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
static PyObject *__Pyx_CyFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* code) {
    __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
    if (op == NULL)
        return NULL;
    op->flags = flags;
    op->func_weakreflist = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_getter = NULL;
    PyObject_GC_Track(op);
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyMem_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    if (m->func_weakreflist != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return PyMethod_New(func,
                            type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
    return PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
#if CYTHON_COMPILING_IN_PYPY
static PyObject * __Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
    PyObject *self = PyCFunction_GET_SELF(func);
    Py_ssize_t size;
    switch (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST)) {
    case METH_VARARGS:
        if (likely(kw == NULL) || PyDict_Size(kw) == 0)
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL) || PyDict_Size(kw) == 0) {
            size = PyTuple_GET_SIZE(arg);
            if (size == 0)
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%zd given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL) || PyDict_Size(kw) == 0) {
            size = PyTuple_GET_SIZE(arg);
            if (size == 1)
                return (*meth)(self, PyTuple_GET_ITEM(arg, 0));
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%zd given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
#else
static PyObject * __Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
	return PyCFunction_Call(func, arg, kw);
}
#endif
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __Pyx_NAMESTR("cython_function_or_method"), /*tp_name*/
    sizeof(__pyx_CyFunctionObject),   /*tp_basicsize*/
    0,                                  /*tp_itemsize*/
    (destructor) __Pyx_CyFunction_dealloc, /*tp_dealloc*/
    0,                                  /*tp_print*/
    0,                                  /*tp_getattr*/
    0,                                  /*tp_setattr*/
#if PY_MAJOR_VERSION < 3
    0,                                  /*tp_compare*/
#else
    0,                                  /*reserved*/
#endif
    (reprfunc) __Pyx_CyFunction_repr,   /*tp_repr*/
    0,                                  /*tp_as_number*/
    0,                                  /*tp_as_sequence*/
    0,                                  /*tp_as_mapping*/
    0,                                  /*tp_hash*/
    __Pyx_CyFunction_Call,              /*tp_call*/
    0,                                  /*tp_str*/
    0,                                  /*tp_getattro*/
    0,                                  /*tp_setattro*/
    0,                                  /*tp_as_buffer*/
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC, /* tp_flags*/
    0,                                  /*tp_doc*/
    (traverseproc) __Pyx_CyFunction_traverse,   /*tp_traverse*/
    (inquiry) __Pyx_CyFunction_clear,   /*tp_clear*/
    0,                                  /*tp_richcompare*/
    offsetof(__pyx_CyFunctionObject, func_weakreflist), /* tp_weaklistoffse */
    0,                                  /*tp_iter*/
    0,                                  /*tp_iternext*/
    __pyx_CyFunction_methods,           /*tp_methods*/
    __pyx_CyFunction_members,           /*tp_members*/
    __pyx_CyFunction_getsets,           /*tp_getset*/
    0,                                  /*tp_base*/
    0,                                  /*tp_dict*/
    __Pyx_CyFunction_descr_get,         /*tp_descr_get*/
    0,                                  /*tp_descr_set*/
    offsetof(__pyx_CyFunctionObject, func_dict),/*tp_dictoffset*/
    0,                                  /*tp_init*/
    0,                                  /*tp_alloc*/
    0,                                  /*tp_new*/
    0,                                  /*tp_free*/
    0,                                  /*tp_is_gc*/
    0,                                  /*tp_bases*/
    0,                                  /*tp_mro*/
    0,                                  /*tp_cache*/
    0,                                  /*tp_subclasses*/
    0,                                  /*tp_weaklist*/
    0,                                  /*tp_del*/
#if PY_VERSION_HEX >= 0x02060000
    0,                                  /*tp_version_tag*/
#endif
};
static int __Pyx_CyFunction_init(void) {
#if !CYTHON_COMPILING_IN_PYPY
    __pyx_CyFunctionType_type.tp_call = PyCFunction_Call;
#endif
    if (PyType_Ready(&__pyx_CyFunctionType_type) < 0)
        return -1;
    __pyx_CyFunctionType = &__pyx_CyFunctionType_type;
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyMem_Malloc(size);
    if (!m->defaults)
        return PyErr_NoMemory();
    memset(m->defaults, 0, sizeof(size));
    m->defaults_pyobjects = pyobjects;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}

#if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION < 3
static PyObject *__Pyx_GetStdout(void) {
    PyObject *f = PySys_GetObject((char *)"stdout");
    if (!f) {
        PyErr_SetString(PyExc_RuntimeError, "lost sys.stdout");
    }
    return f;
}
static int __Pyx_Print(PyObject* f, PyObject *arg_tuple, int newline) {
    int i;
    if (!f) {
        if (!(f = __Pyx_GetStdout()))
            return -1;
    }
    Py_INCREF(f);
    for (i=0; i < PyTuple_GET_SIZE(arg_tuple); i++) {
        PyObject* v;
        if (PyFile_SoftSpace(f, 1)) {
            if (PyFile_WriteString(" ", f) < 0)
                goto error;
        }
        v = PyTuple_GET_ITEM(arg_tuple, i);
        if (PyFile_WriteObject(v, f, Py_PRINT_RAW) < 0)
            goto error;
        if (PyString_Check(v)) {
            char *s = PyString_AsString(v);
            Py_ssize_t len = PyString_Size(v);
            if (len > 0 &&
                isspace(Py_CHARMASK(s[len-1])) &&
                s[len-1] != ' ')
                    PyFile_SoftSpace(f, 0);
        }
    }
    if (newline) {
        if (PyFile_WriteString("\n", f) < 0)
            goto error;
        PyFile_SoftSpace(f, 0);
    }
    Py_DECREF(f);
    return 0;
error:
    Py_DECREF(f);
    return -1;
}
#else /* Python 3 has a print function */
static int __Pyx_Print(PyObject* stream, PyObject *arg_tuple, int newline) {
    PyObject* kwargs = 0;
    PyObject* result = 0;
    PyObject* end_string;
    if (unlikely(!__pyx_print)) {
        __pyx_print = __Pyx_GetAttrString(__pyx_b, "print");
        if (!__pyx_print)
            return -1;
    }
    if (stream) {
        kwargs = PyDict_New();
        if (unlikely(!kwargs))
            return -1;
        if (unlikely(PyDict_SetItemString(kwargs, "file", stream) < 0))
            goto bad;
        if (!newline) {
            end_string = PyUnicode_FromStringAndSize(" ", 1);
            if (unlikely(!end_string))
                goto bad;
            if (PyDict_SetItemString(kwargs, "end", end_string) < 0) {
                Py_DECREF(end_string);
                goto bad;
            }
            Py_DECREF(end_string);
        }
    } else if (!newline) {
        if (unlikely(!__pyx_print_kwargs)) {
            __pyx_print_kwargs = PyDict_New();
            if (unlikely(!__pyx_print_kwargs))
                return -1;
            end_string = PyUnicode_FromStringAndSize(" ", 1);
            if (unlikely(!end_string))
                return -1;
            if (PyDict_SetItemString(__pyx_print_kwargs, "end", end_string) < 0) {
                Py_DECREF(end_string);
                return -1;
            }
            Py_DECREF(end_string);
        }
        kwargs = __pyx_print_kwargs;
    }
    result = PyObject_Call(__pyx_print, arg_tuple, kwargs);
    if (unlikely(kwargs) && (kwargs != __pyx_print_kwargs))
        Py_DECREF(kwargs);
    if (!result)
        return -1;
    Py_DECREF(result);
    return 0;
bad:
    if (kwargs != __pyx_print_kwargs)
        Py_XDECREF(kwargs);
    return -1;
}
#endif

#if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION < 3
static int __Pyx_PrintOne(PyObject* f, PyObject *o) {
    if (!f) {
        if (!(f = __Pyx_GetStdout()))
            return -1;
    }
    Py_INCREF(f);
    if (PyFile_SoftSpace(f, 0)) {
        if (PyFile_WriteString(" ", f) < 0)
            goto error;
    }
    if (PyFile_WriteObject(o, f, Py_PRINT_RAW) < 0)
        goto error;
    if (PyFile_WriteString("\n", f) < 0)
        goto error;
    Py_DECREF(f);
    return 0;
error:
    Py_DECREF(f);
    return -1;
    /* the line below is just to avoid C compiler
     * warnings about unused functions */
    return __Pyx_Print(f, NULL, 0);
}
#else /* Python 3 has a print function */
static int __Pyx_PrintOne(PyObject* stream, PyObject *o) {
    int res;
    PyObject* arg_tuple = PyTuple_Pack(1, o);
    if (unlikely(!arg_tuple))
        return -1;
    res = __Pyx_Print(stream, arg_tuple, 1);
    Py_DECREF(arg_tuple);
    return res;
}
#endif

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        float denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(a, a);
                    case 3:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, a);
                    case 4:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_absf(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        double denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(a, a);
                    case 3:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, a);
                    case 4:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_abs(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

static CYTHON_INLINE unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject* x) {
    const unsigned char neg_one = (unsigned char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(unsigned char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to unsigned char" :
                    "value too large to convert to unsigned char");
            }
            return (unsigned char)-1;
        }
        return (unsigned char)val;
    }
    return (unsigned char)__Pyx_PyInt_AsUnsignedLong(x);
}

static CYTHON_INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject* x) {
    const unsigned short neg_one = (unsigned short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(unsigned short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to unsigned short" :
                    "value too large to convert to unsigned short");
            }
            return (unsigned short)-1;
        }
        return (unsigned short)val;
    }
    return (unsigned short)__Pyx_PyInt_AsUnsignedLong(x);
}

static CYTHON_INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject* x) {
    const unsigned int neg_one = (unsigned int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(unsigned int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to unsigned int" :
                    "value too large to convert to unsigned int");
            }
            return (unsigned int)-1;
        }
        return (unsigned int)val;
    }
    return (unsigned int)__Pyx_PyInt_AsUnsignedLong(x);
}

static CYTHON_INLINE char __Pyx_PyInt_AsChar(PyObject* x) {
    const char neg_one = (char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to char" :
                    "value too large to convert to char");
            }
            return (char)-1;
        }
        return (char)val;
    }
    return (char)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE short __Pyx_PyInt_AsShort(PyObject* x) {
    const short neg_one = (short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to short" :
                    "value too large to convert to short");
            }
            return (short)-1;
        }
        return (short)val;
    }
    return (short)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE int __Pyx_PyInt_AsInt(PyObject* x) {
    const int neg_one = (int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to int" :
                    "value too large to convert to int");
            }
            return (int)-1;
        }
        return (int)val;
    }
    return (int)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject* x) {
    const signed char neg_one = (signed char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed char" :
                    "value too large to convert to signed char");
            }
            return (signed char)-1;
        }
        return (signed char)val;
    }
    return (signed char)__Pyx_PyInt_AsSignedLong(x);
}

static CYTHON_INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject* x) {
    const signed short neg_one = (signed short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed short" :
                    "value too large to convert to signed short");
            }
            return (signed short)-1;
        }
        return (signed short)val;
    }
    return (signed short)__Pyx_PyInt_AsSignedLong(x);
}

static CYTHON_INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject* x) {
    const signed int neg_one = (signed int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed int" :
                    "value too large to convert to signed int");
            }
            return (signed int)-1;
        }
        return (signed int)val;
    }
    return (signed int)__Pyx_PyInt_AsSignedLong(x);
}

static CYTHON_INLINE int __Pyx_PyInt_AsLongDouble(PyObject* x) {
    const int neg_one = (int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to int" :
                    "value too large to convert to int");
            }
            return (int)-1;
        }
        return (int)val;
    }
    return (int)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject* x) {
    const unsigned long neg_one = (unsigned long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned long");
            return (unsigned long)-1;
        }
        return (unsigned long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned long");
                return (unsigned long)-1;
            }
            return (unsigned long)PyLong_AsUnsignedLong(x);
        } else {
            return (unsigned long)PyLong_AsLong(x);
        }
    } else {
        unsigned long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned long)-1;
        val = __Pyx_PyInt_AsUnsignedLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject* x) {
    const unsigned PY_LONG_LONG neg_one = (unsigned PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned PY_LONG_LONG");
            return (unsigned PY_LONG_LONG)-1;
        }
        return (unsigned PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned PY_LONG_LONG");
                return (unsigned PY_LONG_LONG)-1;
            }
            return (unsigned PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
        } else {
            return (unsigned PY_LONG_LONG)PyLong_AsLongLong(x);
        }
    } else {
        unsigned PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsUnsignedLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE long __Pyx_PyInt_AsLong(PyObject* x) {
    const long neg_one = (long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to long");
            return (long)-1;
        }
        return (long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to long");
                return (long)-1;
            }
            return (long)PyLong_AsUnsignedLong(x);
        } else {
            return (long)PyLong_AsLong(x);
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (long)-1;
        val = __Pyx_PyInt_AsLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject* x) {
    const PY_LONG_LONG neg_one = (PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to PY_LONG_LONG");
            return (PY_LONG_LONG)-1;
        }
        return (PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to PY_LONG_LONG");
                return (PY_LONG_LONG)-1;
            }
            return (PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
        } else {
            return (PY_LONG_LONG)PyLong_AsLongLong(x);
        }
    } else {
        PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject* x) {
    const signed long neg_one = (signed long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to signed long");
            return (signed long)-1;
        }
        return (signed long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to signed long");
                return (signed long)-1;
            }
            return (signed long)PyLong_AsUnsignedLong(x);
        } else {
            return (signed long)PyLong_AsLong(x);
        }
    } else {
        signed long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (signed long)-1;
        val = __Pyx_PyInt_AsSignedLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject* x) {
    const signed PY_LONG_LONG neg_one = (signed PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to signed PY_LONG_LONG");
            return (signed PY_LONG_LONG)-1;
        }
        return (signed PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to signed PY_LONG_LONG");
                return (signed PY_LONG_LONG)-1;
            }
            return (signed PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
        } else {
            return (signed PY_LONG_LONG)PyLong_AsLongLong(x);
        }
    } else {
        signed PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (signed PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsSignedLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,
                                  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
    #if PY_MAJOR_VERSION < 3
    ctx = PyString_FromString(name);
    #else
    ctx = PyUnicode_FromString(name);
    #endif
    __Pyx_ErrRestore(old_exc, old_val, old_tb);
    if (!ctx) {
        PyErr_WriteUnraisable(Py_None);
    } else {
        PyErr_WriteUnraisable(ctx);
        Py_DECREF(ctx);
    }
}

static CYTHON_INLINE int __Pyx_StrEq(const char *s1, const char *s2) {
     while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
     return *s1 == *s2;
}

static int __Pyx_check_binary_version(void) {
    char ctversion[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        #if PY_VERSION_HEX < 0x02050000
        return PyErr_Warn(NULL, message);
        #else
        return PyErr_WarnEx(NULL, message, 1);
        #endif
    }
    return 0;
}

static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
#if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION==3&&PY_MINOR_VERSION==0)
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
#else
    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
#endif
    if (!ob)
        goto bad;
    if (PyDict_SetItemString(dict, "__pyx_vtable__", ob) < 0)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

#ifndef __PYX_HAVE_RT_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;
    py_name = __Pyx_PyIdentifier_FromString(name);
    if (!py_name)
        goto bad;
    py_module = PyImport_Import(py_name);
    Py_DECREF(py_name);
    return py_module;
bad:
    Py_XDECREF(py_name);
    return 0;
}
#endif

#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    size_t size, int strict)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    py_name = __Pyx_PyIdentifier_FromString(class_name);
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%s.%s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (!strict && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility",
            module_name, class_name);
        #if PY_VERSION_HEX < 0x02050000
        if (PyErr_Warn(NULL, warning) < 0) goto bad;
        #else
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
        #endif
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%s.%s has the wrong size, try recompiling",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

static void* __Pyx_GetVtable(PyObject *dict) {
    void* ptr;
    PyObject *ob = PyMapping_GetItemString(dict, (char *)"__pyx_vtable__");
    if (!ob)
        goto bad;
#if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION==3&&PY_MINOR_VERSION==0)
    ptr = PyCapsule_GetPointer(ob, 0);
#else
    ptr = PyCObject_AsVoidPtr(ob);
#endif
    if (!ptr && !PyErr_Occurred())
        PyErr_SetString(PyExc_RuntimeError, "invalid vtable found for imported type");
    Py_DECREF(ob);
    return ptr;
bad:
    Py_XDECREF(ob);
    return NULL;
}

static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = (start + end) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, new_max*sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}

#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(filename);
    #else
    py_srcfile = PyUnicode_FromString(filename);
    #endif
    if (!py_srcfile) goto bad;
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    py_code = __Pyx_PyCode_New(
        0,            /*int argcount,*/
        0,            /*int kwonlyargcount,*/
        0,            /*int nlocals,*/
        0,            /*int stacksize,*/
        0,            /*int flags,*/
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,      /*int firstlineno,*/
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    Py_DECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_globals = 0;
    PyFrameObject *py_frame = 0;
    py_code = __pyx_find_code_object(c_line ? c_line : py_line);
    if (!py_code) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? c_line : py_line, py_code);
    }
    py_globals = PyModule_GetDict(__pyx_m);
    if (!py_globals) goto bad;
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        py_globals,          /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    py_frame->f_lineno = py_line;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else  /* Python 3+ has unicode identifiers */
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        ++t;
    }
    return 0;
}

static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_VERSION_HEX < 0x03000000
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return Py_INCREF(x), x;
  m = Py_TYPE(x)->tp_as_number;
#if PY_VERSION_HEX < 0x03000000
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_VERSION_HEX < 0x03000000
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%s__ returned non-%s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject* x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
#if PY_VERSION_HEX < 0x02050000
   if (ival <= LONG_MAX)
       return PyInt_FromLong((long)ival);
   else {
       unsigned char *bytes = (unsigned char *) &ival;
       int one = 1; int little = (int)*(unsigned char*)&one;
       return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0);
   }
#else
   return PyInt_FromSize_t(ival);
#endif
}
static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject* x) {
   unsigned PY_LONG_LONG val = __Pyx_PyInt_AsUnsignedLongLong(x);
   if (unlikely(val == (unsigned PY_LONG_LONG)-1 && PyErr_Occurred())) {
       return (size_t)-1;
   } else if (unlikely(val != (unsigned PY_LONG_LONG)(size_t)val)) {
       PyErr_SetString(PyExc_OverflowError,
                       "value too large to convert to size_t");
       return (size_t)-1;
   }
   return (size_t)val;
}


#endif /* Py_PYTHON_H */
