/* Generated by Cython 0.11.2 on Tue Jul 14 20:45:07 2009 */

#define PY_SSIZE_T_CLEAN
#include "Python.h"
#include "structmember.h"
#ifndef Py_PYTHON_H
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#ifndef PY_LONG_LONG
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#define __PYX_EXTERN_C extern "C"
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#define __PYX_EXTERN_C extern
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#include <math.h>
#define __PYX_HAVE_API__yt__lagos__RTIntegrator
#include "stdlib.h"
#include "numpy/arrayobject.h"
#define __PYX_USE_C99_COMPLEX defined(_Complex_I)


#ifdef __GNUC__
#define INLINE __inline__
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#define INLINE __inline
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#define INLINE 
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typedef struct {PyObject **p; char *s; long n; char is_unicode; char intern; char is_identifier;} __Pyx_StringTabEntry; /*proto*/



static int __pyx_skip_dispatch = 0;


/* Type Conversion Predeclarations */

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#define __Pyx_PyBytes_FromString          PyString_FromString
#define __Pyx_PyBytes_FromStringAndSize   PyString_FromStringAndSize
#define __Pyx_PyBytes_AsString            PyString_AsString
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#define __Pyx_PyBytes_FromString          PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize   PyBytes_FromStringAndSize
#define __Pyx_PyBytes_AsString            PyBytes_AsString
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#define __Pyx_PyBool_FromLong(b) ((b) ? (Py_INCREF(Py_True), Py_True) : (Py_INCREF(Py_False), Py_False))
static INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x);

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        ((sizeof(Py_ssize_t) == sizeof(int))  ? T_INT  : \
        ((sizeof(Py_ssize_t) == sizeof(long)) ? T_LONG : -1))
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#define T_PYSSIZET \
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        ((sizeof(Py_ssize_t) == sizeof(long))         ? T_LONG     : \
        ((sizeof(Py_ssize_t) == sizeof(PY_LONG_LONG)) ? T_LONGLONG : -1)))
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#if !defined(T_SIZET)
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#define T_SIZET \
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#define T_SIZET \
        ((sizeof(size_t) == sizeof(unsigned int))          ? T_UINT      : \
        ((sizeof(size_t) == sizeof(unsigned long))         ? T_ULONG     : \
        ((sizeof(size_t) == sizeof(unsigned PY_LONG_LONG)) ? T_ULONGLONG : -1)))
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static INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static INLINE size_t __Pyx_PyInt_AsSize_t(PyObject*);

#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : 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 int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;
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static char __pyx_mdoc[] = "\nSimle integrators for the radiative transfer equation\n\nAuthor: Matthew Turk <matthewturk@gmail.com>\nAffiliation: KIPAC/SLAC/Stanford\nHomepage: http://yt.enzotools.org/\nLicense:\n  Copyright (C) 2008 Matthew Turk.  All Rights Reserved.\n\n  This file is part of yt.\n\n  yt is free software; you can redistribute it and/or modify\n  it under the terms of the GNU General Public License as published by\n  the Free Software Foundation; either version 3 of the License, or\n  (at your option) any later version.\n\n  This program is distributed in the hope that it will be useful,\n  but WITHOUT ANY WARRANTY; without even the implied warranty of\n  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the\n  GNU General Public License for more details.\n\n  You should have received a copy of the GNU General Public License\n  along with this program.  If not, see <http://www.gnu.org/licenses/>.\n";


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#define __Pyx_GIVEREF(r)
#define __Pyx_XDECREF(r) Py_XDECREF(r)
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#define __Pyx_XGIVEREF(r) if((r) == NULL) ; else __Pyx_GIVEREF(r)
#define __Pyx_XGOTREF(r) if((r) == NULL) ; else __Pyx_GOTREF(r)

static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name, PyObject* kw_name); /*proto*/

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); /*proto*/

static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],     PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,     const char* function_name); /*proto*/

/* Run-time type information about structs used with buffers */
struct __Pyx_StructField_;

typedef struct {
  const char* name; /* for error messages only */
  struct __Pyx_StructField_* fields;
  size_t size;     /* sizeof(type) */
  char typegroup; /* _R_eal, _C_omplex, Signed _I_nt, _U_nsigned int, _S_truct, _P_ointer, _O_bject */
} __Pyx_TypeInfo;

typedef struct __Pyx_StructField_ {
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  const char* name;
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typedef struct {
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} __Pyx_BufFmt_StackElem;


static INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);
static int __Pyx_GetBufferAndValidate(Py_buffer* buf, PyObject* obj, __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);
#define __Pyx_BufPtrStrided2d(type, buf, i0, s0, i1, s1) (type)((char*)buf + i0 * s0 + i1 * s1)
#define __Pyx_BufPtrStrided3d(type, buf, i0, s0, i1, s1, i2, s2) (type)((char*)buf + i0 * s0 + i1 * s1 + i2 * s2)

static INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb); /*proto*/
static INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb); /*proto*/
#define __Pyx_BufPtrStrided1d(type, buf, i0, s0) (type)((char*)buf + i0 * s0)

static int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type); /*proto*/

static void __Pyx_RaiseBufferFallbackError(void); /*proto*/


static INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (!j) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
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#define __Pyx_GetItemInt_List(o, i, size, to_py_func) ((size <= sizeof(Py_ssize_t)) ? \
                                                    __Pyx_GetItemInt_List_Fast(o, i, size <= sizeof(long)) : \
                                                    __Pyx_GetItemInt_Generic(o, to_py_func(i)))

static INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i, int fits_long) {
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            PyObject *r = PyList_GET_ITEM(o, i);
            Py_INCREF(r);
            return r;
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        else if ((-PyList_GET_SIZE(o) <= i) & (i < 0)) {
            PyObject *r = PyList_GET_ITEM(o, PyList_GET_SIZE(o) + i);
            Py_INCREF(r);
            return r;
        }
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    return __Pyx_GetItemInt_Generic(o, fits_long ? PyInt_FromLong(i) : PyLong_FromLongLong(i));
}

#define __Pyx_GetItemInt_Tuple(o, i, size, to_py_func) ((size <= sizeof(Py_ssize_t)) ? \
                                                    __Pyx_GetItemInt_Tuple_Fast(o, i, size <= sizeof(long)) : \
                                                    __Pyx_GetItemInt_Generic(o, to_py_func(i)))

static INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i, int fits_long) {
    if (likely(o != Py_None)) {
        if (likely((0 <= i) & (i < PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, i);
            Py_INCREF(r);
            return r;
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        else if ((-PyTuple_GET_SIZE(o) <= i) & (i < 0)) {
            PyObject *r = PyTuple_GET_ITEM(o, PyTuple_GET_SIZE(o) + i);
            Py_INCREF(r);
            return r;
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    }
    return __Pyx_GetItemInt_Generic(o, fits_long ? PyInt_FromLong(i) : PyLong_FromLongLong(i));
}


#define __Pyx_GetItemInt(o, i, size, to_py_func) ((size <= sizeof(Py_ssize_t)) ? \
                                                    __Pyx_GetItemInt_Fast(o, i, size <= sizeof(long)) : \
                                                    __Pyx_GetItemInt_Generic(o, to_py_func(i)))

static INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int fits_long) {
    PyObject *r;
    if (PyList_CheckExact(o) && ((0 <= i) & (i < PyList_GET_SIZE(o)))) {
        r = PyList_GET_ITEM(o, i);
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        r = PyTuple_GET_ITEM(o, i);
        Py_INCREF(r);
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    else if (Py_TYPE(o)->tp_as_sequence && Py_TYPE(o)->tp_as_sequence->sq_item && (likely(i >= 0))) {
        r = PySequence_GetItem(o, i);
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    else {
        r = __Pyx_GetItemInt_Generic(o, fits_long ? PyInt_FromLong(i) : PyLong_FromLongLong(i));
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}

static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact); /*proto*/
#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
static void __Pyx_ReleaseBuffer(Py_buffer *view);
#else
#define __Pyx_GetBuffer PyObject_GetBuffer
#define __Pyx_ReleaseBuffer PyBuffer_Release
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Py_ssize_t __Pyx_zeros[] = {0, 0, 0};
Py_ssize_t __Pyx_minusones[] = {-1, -1, -1};

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list); /*proto*/

static PyObject *__Pyx_GetName(PyObject *dict, PyObject *name); /*proto*/

#if __PYX_USE_C99_COMPLEX
    #define __Pyx_REAL_PART(z) __real__(z)
    #define __Pyx_IMAG_PART(z) __imag__(z)
#else
    #define __Pyx_REAL_PART(z) ((z).real)
    #define __Pyx_IMAG_PART(z) ((z).imag)
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#define __pyx_PyObject_from_complex(z) PyComplex_FromDoubles((double)__Pyx_REAL_PART(z), (double)__Pyx_IMAG_PART(z))

#if __PYX_USE_C99_COMPLEX

    typedef float _Complex __pyx_t_float_complex;
    static INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
    
    #define __pyx_t_float_complex_is_zero(a) ((a) == 0)
    #define __pyx_t_float_complex_eq(a, b) ((a) == (b))
    #define __pyx_t_float_complex_add(a, b) ((a)+(b))
    #define __pyx_t_float_complex_sub(a, b) ((a)-(b))
    #define __pyx_t_float_complex_mul(a, b) ((a)*(b))
    #define __pyx_t_float_complex_div(a, b) ((a)/(b))
    #define __pyx_t_float_complex_neg(a) (-(a))

#else

    typedef struct { float real, imag; } __pyx_t_float_complex;
    static INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex c; c.real = x; c.imag = y; return c;
    }
    
    static INLINE int __pyx_t_float_complex_is_zero(__pyx_t_float_complex a) {
       return (a.real == 0) & (a.imag == 0);
    }

    static INLINE int __pyx_t_float_complex_eq(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) & (a.imag == b.imag);
    }

    static INLINE __pyx_t_float_complex __pyx_t_float_complex_add(__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 INLINE __pyx_t_float_complex __pyx_t_float_complex_sub(__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 INLINE __pyx_t_float_complex __pyx_t_float_complex_mul(__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 INLINE __pyx_t_float_complex __pyx_t_float_complex_div(__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 INLINE __pyx_t_float_complex __pyx_t_float_complex_neg(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }

#endif

#if __PYX_USE_C99_COMPLEX

    typedef double _Complex __pyx_t_double_complex;
    static INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
    
    #define __pyx_t_double_complex_is_zero(a) ((a) == 0)
    #define __pyx_t_double_complex_eq(a, b) ((a) == (b))
    #define __pyx_t_double_complex_add(a, b) ((a)+(b))
    #define __pyx_t_double_complex_sub(a, b) ((a)-(b))
    #define __pyx_t_double_complex_mul(a, b) ((a)*(b))
    #define __pyx_t_double_complex_div(a, b) ((a)/(b))
    #define __pyx_t_double_complex_neg(a) (-(a))

#else

    typedef struct { double real, imag; } __pyx_t_double_complex;
    static INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex c; c.real = x; c.imag = y; return c;
    }
    
    static INLINE int __pyx_t_double_complex_is_zero(__pyx_t_double_complex a) {
       return (a.real == 0) & (a.imag == 0);
    }

    static INLINE int __pyx_t_double_complex_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) & (a.imag == b.imag);
    }

    static INLINE __pyx_t_double_complex __pyx_t_double_complex_add(__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 INLINE __pyx_t_double_complex __pyx_t_double_complex_sub(__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 INLINE __pyx_t_double_complex __pyx_t_double_complex_mul(__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 INLINE __pyx_t_double_complex __pyx_t_double_complex_div(__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 INLINE __pyx_t_double_complex __pyx_t_double_complex_neg(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }

#endif

#if __PYX_USE_C99_COMPLEX

    typedef long double _Complex __pyx_t_long__double_complex;
    static INLINE __pyx_t_long__double_complex __pyx_t_long__double_complex_from_parts(long double x, long double y) {
      return x + y*(__pyx_t_long__double_complex)_Complex_I;
    }
    
    #define __pyx_t_long__double_complex_is_zero(a) ((a) == 0)
    #define __pyx_t_long__double_complex_eq(a, b) ((a) == (b))
    #define __pyx_t_long__double_complex_add(a, b) ((a)+(b))
    #define __pyx_t_long__double_complex_sub(a, b) ((a)-(b))
    #define __pyx_t_long__double_complex_mul(a, b) ((a)*(b))
    #define __pyx_t_long__double_complex_div(a, b) ((a)/(b))
    #define __pyx_t_long__double_complex_neg(a) (-(a))

#else

    typedef struct { long double real, imag; } __pyx_t_long__double_complex;
    static INLINE __pyx_t_long__double_complex __pyx_t_long__double_complex_from_parts(long double x, long double y) {
      __pyx_t_long__double_complex c; c.real = x; c.imag = y; return c;
    }
    
    static INLINE int __pyx_t_long__double_complex_is_zero(__pyx_t_long__double_complex a) {
       return (a.real == 0) & (a.imag == 0);
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    static INLINE int __pyx_t_long__double_complex_eq(__pyx_t_long__double_complex a, __pyx_t_long__double_complex b) {
       return (a.real == b.real) & (a.imag == b.imag);
    }

    static INLINE __pyx_t_long__double_complex __pyx_t_long__double_complex_add(__pyx_t_long__double_complex a, __pyx_t_long__double_complex b) {
        __pyx_t_long__double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }

    static INLINE __pyx_t_long__double_complex __pyx_t_long__double_complex_sub(__pyx_t_long__double_complex a, __pyx_t_long__double_complex b) {
        __pyx_t_long__double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }

    static INLINE __pyx_t_long__double_complex __pyx_t_long__double_complex_mul(__pyx_t_long__double_complex a, __pyx_t_long__double_complex b) {
        __pyx_t_long__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 INLINE __pyx_t_long__double_complex __pyx_t_long__double_complex_div(__pyx_t_long__double_complex a, __pyx_t_long__double_complex b) {
        __pyx_t_long__double_complex z;
        long 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 INLINE __pyx_t_long__double_complex __pyx_t_long__double_complex_neg(__pyx_t_long__double_complex a) {
        __pyx_t_long__double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }

#endif

static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb); /*proto*/

static INLINE int __Pyx_StrEq(const char *, const char *); /*proto*/

static INLINE unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject *);

static INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject *);

static INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject *);

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static INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject *);

static INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject *);

static INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject *);

static INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject *);

static INLINE long __Pyx_PyInt_AsLong(PyObject *);

static INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject *);

static INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject *);

static INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject *);

static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, long size);  /*proto*/

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static void __Pyx_AddTraceback(const char *funcname); /*proto*/

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typedef npy_int8 __pyx_t_5numpy_int8_t;

typedef npy_int16 __pyx_t_5numpy_int16_t;

typedef npy_int32 __pyx_t_5numpy_int32_t;

typedef npy_int64 __pyx_t_5numpy_int64_t;

typedef npy_uint8 __pyx_t_5numpy_uint8_t;

typedef npy_uint16 __pyx_t_5numpy_uint16_t;

typedef npy_uint32 __pyx_t_5numpy_uint32_t;

typedef npy_uint64 __pyx_t_5numpy_uint64_t;

typedef npy_float32 __pyx_t_5numpy_float32_t;

typedef npy_float64 __pyx_t_5numpy_float64_t;

typedef npy_complex64 __pyx_t_5numpy_complex64_t;

typedef npy_complex128 __pyx_t_5numpy_complex128_t;

typedef npy_long __pyx_t_5numpy_int_t;

typedef npy_longlong __pyx_t_5numpy_long_t;

typedef npy_ulong __pyx_t_5numpy_uint_t;

typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

typedef npy_double __pyx_t_5numpy_float_t;

typedef npy_double __pyx_t_5numpy_double_t;

typedef npy_longdouble __pyx_t_5numpy_longdouble_t;

typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

typedef npy_cdouble __pyx_t_5numpy_complex_t;
/* Module declarations from python_buffer */

/* Module declarations from stdlib */

/* Module declarations from numpy */

/* Module declarations from numpy */

static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
static INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/
/* Module declarations from cython */

/* Module declarations from yt.lagos.RTIntegrator */

static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_float_t = { "numpy.float_t", NULL, sizeof(__pyx_t_5numpy_float_t), 'R' };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int_t = { "numpy.int_t", NULL, sizeof(__pyx_t_5numpy_int_t), 'I' };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t = { "numpy.float64_t", NULL, sizeof(__pyx_t_5numpy_float64_t), 'R' };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int64_t = { "numpy.int64_t", NULL, sizeof(__pyx_t_5numpy_int64_t), 'I' };
#define __Pyx_MODULE_NAME "yt.lagos.RTIntegrator"
int __pyx_module_is_main_yt__lagos__RTIntegrator = 0;

/* Implementation of yt.lagos.RTIntegrator */
static PyObject *__pyx_int_3;
static char __pyx_k___main__[] = "__main__";
static PyObject *__pyx_kp___main__;
static char __pyx_k_i_s[] = "i_s";
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static char __pyx_k_o_s[] = "o_s";
static PyObject *__pyx_kp_o_s;
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static char __pyx_k_a[] = "a";
static PyObject *__pyx_kp_a;
static char __pyx_k_imin[] = "imin";
static PyObject *__pyx_kp_imin;
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static PyObject *__pyx_kp_imax;
static char __pyx_k_jmin[] = "jmin";
static PyObject *__pyx_kp_jmin;
static char __pyx_k_jmax[] = "jmax";
static PyObject *__pyx_kp_jmax;
static char __pyx_k_kmin[] = "kmin";
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static char __pyx_k_kmax[] = "kmax";
static PyObject *__pyx_kp_kmax;
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static PyObject *__pyx_kp_jstride;
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static PyObject *__pyx_kp_floor;
static char __pyx_k_abs[] = "abs";
static PyObject *__pyx_kp_abs;
static PyObject *__pyx_builtin_range;
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static PyObject *__pyx_kp___getbuffer__;
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/* "yt/lagos/RTIntegrator.pyx":31
 * 
 * @cython.boundscheck(False)
 * def Transfer3D(np.ndarray[np.float_t, ndim=2] i_s,             # <<<<<<<<<<<<<<
 *                np.ndarray[np.float_t, ndim=3] o_s,
 *                np.ndarray[np.float_t, ndim=3] e,
 */

static PyObject *__pyx_pf_2yt_5lagos_12RTIntegrator_Transfer3D(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_2yt_5lagos_12RTIntegrator_Transfer3D[] = "\n    This function accepts an incoming slab (*i_s*), a buffer\n    for an outgoing set of values at every point in the grid (*o_s*),\n    an emission array (*e*), an absorption array (*a*), and dimensions of\n    the grid (*imin*, *imax*, *jmin*, *jmax*, *kmin*, *kmax*) as well\n    as strides in the *i* and *j* directions, and a *dx* of the grid being\n    integrated.\n    ";
static PyObject *__pyx_pf_2yt_5lagos_12RTIntegrator_Transfer3D(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyArrayObject *__pyx_v_i_s = 0;
  PyArrayObject *__pyx_v_o_s = 0;
  PyArrayObject *__pyx_v_e = 0;
  PyArrayObject *__pyx_v_a = 0;
  int __pyx_v_imin;
  int __pyx_v_imax;
  int __pyx_v_jmin;
  int __pyx_v_jmax;
  int __pyx_v_kmin;
  int __pyx_v_kmax;
  int __pyx_v_istride;
  int __pyx_v_jstride;
  float __pyx_v_dx;
  int __pyx_v_i;
  int __pyx_v_ii;
  int __pyx_v_j;
  int __pyx_v_jj;
  int __pyx_v_k;
  float __pyx_v_temp;
  Py_buffer __pyx_bstruct_a;
  Py_ssize_t __pyx_bstride_0_a = 0;
  Py_ssize_t __pyx_bstride_1_a = 0;
  Py_ssize_t __pyx_bstride_2_a = 0;
  Py_ssize_t __pyx_bshape_0_a = 0;
  Py_ssize_t __pyx_bshape_1_a = 0;
  Py_ssize_t __pyx_bshape_2_a = 0;
  Py_buffer __pyx_bstruct_e;
  Py_ssize_t __pyx_bstride_0_e = 0;
  Py_ssize_t __pyx_bstride_1_e = 0;
  Py_ssize_t __pyx_bstride_2_e = 0;
  Py_ssize_t __pyx_bshape_0_e = 0;
  Py_ssize_t __pyx_bshape_1_e = 0;
  Py_ssize_t __pyx_bshape_2_e = 0;
  Py_buffer __pyx_bstruct_o_s;
  Py_ssize_t __pyx_bstride_0_o_s = 0;
  Py_ssize_t __pyx_bstride_1_o_s = 0;
  Py_ssize_t __pyx_bstride_2_o_s = 0;
  Py_ssize_t __pyx_bshape_0_o_s = 0;
  Py_ssize_t __pyx_bshape_1_o_s = 0;
  Py_ssize_t __pyx_bshape_2_o_s = 0;
  Py_buffer __pyx_bstruct_i_s;
  Py_ssize_t __pyx_bstride_0_i_s = 0;
  Py_ssize_t __pyx_bstride_1_i_s = 0;
  Py_ssize_t __pyx_bshape_0_i_s = 0;
  Py_ssize_t __pyx_bshape_1_i_s = 0;
  PyObject *__pyx_r = NULL;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_t_7;
  int __pyx_t_8;
  int __pyx_t_9;
  int __pyx_t_10;
  int __pyx_t_11;
  int __pyx_t_12;
  int __pyx_t_13;
  int __pyx_t_14;
  int __pyx_t_15;
  int __pyx_t_16;
  int __pyx_t_17;
  int __pyx_t_18;
  static PyObject **__pyx_pyargnames[] = {&__pyx_kp_i_s,&__pyx_kp_o_s,&__pyx_kp_e,&__pyx_kp_a,&__pyx_kp_imin,&__pyx_kp_imax,&__pyx_kp_jmin,&__pyx_kp_jmax,&__pyx_kp_kmin,&__pyx_kp_kmax,&__pyx_kp_istride,&__pyx_kp_jstride,&__pyx_kp_dx,0};
  __Pyx_SetupRefcountContext("Transfer3D");
  __pyx_self = __pyx_self;
  if (unlikely(__pyx_kwds)) {
    Py_ssize_t kw_args = PyDict_Size(__pyx_kwds);
    PyObject* values[13] = {0,0,0,0,0,0,0,0,0,0,0,0,0};
    switch (PyTuple_GET_SIZE(__pyx_args)) {
      case 13: values[12] = PyTuple_GET_ITEM(__pyx_args, 12);
      case 12: values[11] = PyTuple_GET_ITEM(__pyx_args, 11);
      case 11: values[10] = PyTuple_GET_ITEM(__pyx_args, 10);
      case 10: values[9] = PyTuple_GET_ITEM(__pyx_args, 9);
      case  9: values[8] = PyTuple_GET_ITEM(__pyx_args, 8);
      case  8: values[7] = PyTuple_GET_ITEM(__pyx_args, 7);
      case  7: values[6] = PyTuple_GET_ITEM(__pyx_args, 6);
      case  6: values[5] = PyTuple_GET_ITEM(__pyx_args, 5);
      case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
      case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
      case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      case  0: break;
      default: goto __pyx_L5_argtuple_error;
    }
    switch (PyTuple_GET_SIZE(__pyx_args)) {
      case  0:
      values[0] = PyDict_GetItem(__pyx_kwds, __pyx_kp_i_s);
      if (likely(values[0])) kw_args--;
      else goto __pyx_L5_argtuple_error;
      case  1:
      values[1] = PyDict_GetItem(__pyx_kwds, __pyx_kp_o_s);
      if (likely(values[1])) kw_args--;
      else {
        __Pyx_RaiseArgtupleInvalid("Transfer3D", 1, 13, 13, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 31; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
      case  2:
      values[2] = PyDict_GetItem(__pyx_kwds, __pyx_kp_e);
      if (likely(values[2])) kw_args--;
      else {
        __Pyx_RaiseArgtupleInvalid("Transfer3D", 1, 13, 13, 2); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 31; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
      case  3:
      values[3] = PyDict_GetItem(__pyx_kwds, __pyx_kp_a);
      if (likely(values[3])) kw_args--;
      else {
        __Pyx_RaiseArgtupleInvalid("Transfer3D", 1, 13, 13, 3); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 31; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
      case  4:
      values[4] = PyDict_GetItem(__pyx_kwds, __pyx_kp_imin);
      if (likely(values[4])) kw_args--;
      else {
        __Pyx_RaiseArgtupleInvalid("Transfer3D", 1, 13, 13, 4); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 31; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
      case  5:
      values[5] = PyDict_GetItem(__pyx_kwds, __pyx_kp_imax);
      if (likely(values[5])) kw_args--;
      else {
        __Pyx_RaiseArgtupleInvalid("Transfer3D", 1, 13, 13, 5); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 31; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
      case  6:
      values[6] = PyDict_GetItem(__pyx_kwds, __pyx_kp_jmin);
      if (likely(values[6])) kw_args--;
      else {
        __Pyx_RaiseArgtupleInvalid("Transfer3D", 1, 13, 13, 6); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 31; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
      case  7:
      values[7] = PyDict_GetItem(__pyx_kwds, __pyx_kp_jmax);
      if (likely(values[7])) kw_args--;
      else {
        __Pyx_RaiseArgtupleInvalid("Transfer3D", 1, 13, 13, 7); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 31; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
      case  8:
      values[8] = PyDict_GetItem(__pyx_kwds, __pyx_kp_kmin);
      if (likely(values[8])) kw_args--;
      else {
        __Pyx_RaiseArgtupleInvalid("Transfer3D", 1, 13, 13, 8); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 31; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
      case  9:
      values[9] = PyDict_GetItem(__pyx_kwds, __pyx_kp_kmax);
      if (likely(values[9])) kw_args--;
      else {
        __Pyx_RaiseArgtupleInvalid("Transfer3D", 1, 13, 13, 9); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 31; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
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}

static const char *__pyx_filenames[] = {
  "RTIntegrator.pyx",
  "numpy.pxd",
};

/* Runtime support code */

static void __pyx_init_filenames(void) {
  __pyx_f = __pyx_filenames;
}

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_AS_STRING(kw_name));
        #endif
}

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 *number, *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";
    }
    number = (num_expected == 1) ? "" : "s";
    PyErr_Format(PyExc_TypeError,
        #if PY_VERSION_HEX < 0x02050000
            "%s() takes %s %d positional argument%s (%d given)",
        #else
            "%s() takes %s %zd positional argument%s (%zd given)",
        #endif
        func_name, more_or_less, num_expected, number, num_found);
}

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;
        } else {
            #if PY_MAJOR_VERSION < 3
            if (unlikely(!PyString_CheckExact(key)) && unlikely(!PyString_Check(key))) {
            #else
            if (unlikely(!PyUnicode_CheckExact(key)) && unlikely(!PyUnicode_Check(key))) {
            #endif
                goto invalid_keyword_type;
            } else {
                for (name = first_kw_arg; *name; name++) {
                    #if PY_MAJOR_VERSION >= 3
                    if (PyUnicode_GET_SIZE(**name) == PyUnicode_GET_SIZE(key) &&
                        PyUnicode_Compare(**name, key) == 0) break;
                    #else
                    if (PyString_GET_SIZE(**name) == PyString_GET_SIZE(key) &&
                        _PyString_Eq(**name, key)) break;
                    #endif
                }
                if (*name) {
                    values[name-argnames] = value;
                } else {
                    /* unexpected keyword found */
                    for (name=argnames; name != first_kw_arg; name++) {
                        if (**name == key) goto arg_passed_twice;
                        #if PY_MAJOR_VERSION >= 3
                        if (PyUnicode_GET_SIZE(**name) == PyUnicode_GET_SIZE(key) &&
                            PyUnicode_Compare(**name, key) == 0) goto arg_passed_twice;
                        #else
                        if (PyString_GET_SIZE(**name) == PyString_GET_SIZE(key) &&
                            _PyString_Eq(**name, key)) goto arg_passed_twice;
                        #endif
                    }
                    if (kwds2) {
                        if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
                    } else {
                        goto invalid_keyword;
                    }
                }
            }
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, **name);
    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 INLINE int __Pyx_IsLittleEndian(void) {
  unsigned int n = 1;
  return *(unsigned char*)(&n) != 0;
}

typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  int new_count, enc_count;
  int is_complex;
  char enc_type;
  char packmode;
} __Pyx_BufFmt_Context;

static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type) {
  stack[0].field = &ctx->root;
  stack[0].parent_offset = 0;
  ctx->root.type = type;
  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->packmode = '@';
  ctx->new_count = 1;
  ctx->enc_count = 0;
  ctx->enc_type = 0;
  ctx->is_complex = 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 void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
  char msg[] = {ch, 0};
  PyErr_Format(PyExc_ValueError, "Unexpected format string character: '%s'", msg);
}

static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
  switch (ch) {
    case 'b': return "'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 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': 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': 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_s_long_long;
#endif

static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': 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_s_long_long) - 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;
    }
}

static size_t __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
  switch (ch) {
    case 'c': case 'b': case 'h': case 'i': case 'l': case 'q': 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;
  if (ctx->enc_type == 0) return 0;
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_TypeInfo* type = field->type;
  
    if (ctx->packmode == '@' || ctx->packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->packmode == '@') {
      int align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      int 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 (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        /* special case -- treat as struct rather than complex number */
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
    
      __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 %"PY_FORMAT_SIZE_T"d "
                   "but %"PY_FORMAT_SIZE_T"d expected", ctx->fmt_offset, offset);
      return -1;
    }

    ctx->fmt_offset += size;
  
    --ctx->enc_count; /* Consume from buffer string */

    /* Done checking, move to next field, pushing or popping struct stack if needed */
    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 int __Pyx_BufFmt_FirstPack(__Pyx_BufFmt_Context* ctx) {
  if (ctx->enc_type != 0 || ctx->packmode != '@') {
    PyErr_SetString(PyExc_ValueError, "Buffer packing mode currently only allowed at beginning of format string (this is a defect)");
    return -1;
  }
  return 0;
}

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;
        }
        if (__Pyx_BufFmt_FirstPack(ctx) == -1) return NULL;
        ctx->packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        if (__Pyx_BufFmt_FirstPack(ctx) == -1) return NULL;
        ctx->packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        if (__Pyx_BufFmt_FirstPack(ctx) == -1) return NULL;
        ctx->packmode = *ts++;
        break;
      case 'T': /* substruct */
        {
          int i;
          const char* ts_after_sub;
          int struct_count = ctx->new_count;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          ++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;
        }
        break;
      case '}': /* end of substruct; either repeat or move on */
        ++ts;
        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;
        ++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':
        if (ctx->enc_type == *ts && got_Z == ctx->is_complex) {
          /* Continue pooling same type */
          ctx->enc_count += ctx->new_count;
        } else {
          /* New type */
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_count = ctx->new_count;
          ctx->enc_type = *ts;
          ctx->is_complex = got_Z;
        }
        ++ts;
        ctx->new_count = 1;
        got_Z = 0;
        break;
      default:
        {
          ctx->new_count = __Pyx_BufFmt_ParseNumber(&ts);
          if (ctx->new_count == -1) { /* First char was not a digit */
            char msg[2] = { *ts, 0 };
            PyErr_Format(PyExc_ValueError,
                         "Does not understand character buffer dtype format string ('%s')", msg);
            return NULL;
          }
        }
      
    }
  }
}

static 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 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) {
    __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 (%"PY_FORMAT_SIZE_T"d byte%s) does not match size of '%s' (%"PY_FORMAT_SIZE_T"d byte%s)",
      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
      dtype->name,
      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 INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (info->buf == NULL) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}

static INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();

#if PY_MAJOR_VERSION >= 3
    /* Note: this is a temporary work-around to prevent crashes in Python 3.0 */
    if ((tstate->exc_type != NULL) & (tstate->exc_type != Py_None)) {
        tmp_type = tstate->exc_type;
        tmp_value = tstate->exc_value;
        tmp_tb = tstate->exc_traceback;
        PyErr_NormalizeException(&type, &value, &tb);
        PyErr_NormalizeException(&tmp_type, &tmp_value, &tmp_tb);
        tstate->exc_type = 0;
        tstate->exc_value = 0;
        tstate->exc_traceback = 0;
        PyException_SetContext(value, tmp_value);
        Py_DECREF(tmp_type);
        Py_XDECREF(tmp_tb);
    }
#endif

    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}

static INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
    PyThreadState *tstate = PyThreadState_GET();
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;

    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}


static int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (!type) {
        PyErr_Format(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (obj == Py_None || PyObject_TypeCheck(obj, type))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %s to %s",
        Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

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



static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact)
{
    if (!type) {
        PyErr_Format(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (none_allowed && obj == Py_None) return 1;
    else if (exact) {
        if (Py_TYPE(obj) == type) return 1;
    }
    else {
        if (PyObject_TypeCheck(obj, type)) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%s' has incorrect type (expected %s, got %s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
  #if PY_VERSION_HEX >= 0x02060000
  if (Py_TYPE(obj)->tp_flags & Py_TPFLAGS_HAVE_NEWBUFFER)
      return PyObject_GetBuffer(obj, view, flags);
  #endif
  if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pf_5numpy_7ndarray___getbuffer__(obj, view, flags);
  else {
  PyErr_Format(PyExc_TypeError, "'%100s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
  return -1;
    }
}

static void __Pyx_ReleaseBuffer(Py_buffer *view) {
  PyObject* obj = view->obj;
  if (obj) {
if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pf_5numpy_7ndarray___releasebuffer__(obj, view);
    Py_DECREF(obj);
    view->obj = NULL;
  }
}

#endif

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list) {
    PyObject *__import__ = 0;
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    __import__ = __Pyx_GetAttrString(__pyx_b, "__import__");
    if (!__import__)
        goto bad;
    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;
    module = PyObject_CallFunctionObjArgs(__import__,
        name, global_dict, empty_dict, list, NULL);
bad:
    Py_XDECREF(empty_list);
    Py_XDECREF(__import__);
    Py_XDECREF(empty_dict);
    return module;
}

static PyObject *__Pyx_GetName(PyObject *dict, PyObject *name) {
    PyObject *result;
    result = PyObject_GetAttr(dict, name);
    if (!result)
        PyErr_SetObject(PyExc_NameError, name);
    return result;
}

static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb) {
    Py_XINCREF(type);
    Py_XINCREF(value);
    Py_XINCREF(tb);
    /* First, check the traceback argument, replacing None with NULL. */
    if (tb == Py_None) {
        Py_DECREF(tb);
        tb = 0;
    }
    else if (tb != NULL && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto raise_error;
    }
    /* Next, replace a missing value with None */
    if (value == NULL) {
        value = Py_None;
        Py_INCREF(value);
    }
    #if PY_VERSION_HEX < 0x02050000
    if (!PyClass_Check(type))
    #else
    if (!PyType_Check(type))
    #endif
    {
        /* Raising an instance.  The value should be a dummy. */
        if (value != Py_None) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        /* Normalize to raise <class>, <instance> */
        Py_DECREF(value);
        value = type;
        #if PY_VERSION_HEX < 0x02050000
            if (PyInstance_Check(type)) {
                type = (PyObject*) ((PyInstanceObject*)type)->in_class;
                Py_INCREF(type);
            }
            else {
                type = 0;
                PyErr_SetString(PyExc_TypeError,
                    "raise: exception must be an old-style class or instance");
                goto raise_error;
            }
        #else
            type = (PyObject*) Py_TYPE(type);
            Py_INCREF(type);
            if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
                PyErr_SetString(PyExc_TypeError,
                    "raise: exception class must be a subclass of BaseException");
                goto raise_error;
            }
        #endif
    }
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}

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

static INLINE unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject* x) {
    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()))
                return (unsigned char)-1;
            if (unlikely(val < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned char");
                return (unsigned char)-1;
            }
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to unsigned char");
            return (unsigned char)-1;
        }
        return (unsigned char)val;
    }
    return (unsigned char)__Pyx_PyInt_AsUnsignedLong(x);
}

static INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject* x) {
    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()))
                return (unsigned short)-1;
            if (unlikely(val < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned short");
                return (unsigned short)-1;
            }
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to unsigned short");
            return (unsigned short)-1;
        }
        return (unsigned short)val;
    }
    return (unsigned short)__Pyx_PyInt_AsUnsignedLong(x);
}

static INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject* x) {
    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()))
                return (unsigned int)-1;
            if (unlikely(val < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned int");
                return (unsigned int)-1;
            }
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to unsigned int");
            return (unsigned int)-1;
        }
        return (unsigned int)val;
    }
    return (unsigned int)__Pyx_PyInt_AsUnsignedLong(x);
}

static INLINE char __Pyx_PyInt_AsChar(PyObject* x) {
    if (sizeof(char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(char)val)) {
            if (unlikely(val == -1 && PyErr_Occurred()))
                return (char)-1;
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to char");
            return (char)-1;
        }
        return (char)val;
    }
    return (char)__Pyx_PyInt_AsLong(x);
}

static INLINE short __Pyx_PyInt_AsShort(PyObject* x) {
    if (sizeof(short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(short)val)) {
            if (unlikely(val == -1 && PyErr_Occurred()))
                return (short)-1;
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to short");
            return (short)-1;
        }
        return (short)val;
    }
    return (short)__Pyx_PyInt_AsLong(x);
}

static INLINE int __Pyx_PyInt_AsInt(PyObject* x) {
    if (sizeof(int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(int)val)) {
            if (unlikely(val == -1 && PyErr_Occurred()))
                return (int)-1;
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to int");
            return (int)-1;
        }
        return (int)val;
    }
    return (int)__Pyx_PyInt_AsLong(x);
}

static INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject* x) {
    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()))
                return (signed char)-1;
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to signed char");
            return (signed char)-1;
        }
        return (signed char)val;
    }
    return (signed char)__Pyx_PyInt_AsSignedLong(x);
}

static INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject* x) {
    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()))
                return (signed short)-1;
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to signed short");
            return (signed short)-1;
        }
        return (signed short)val;
    }
    return (signed short)__Pyx_PyInt_AsSignedLong(x);
}

static INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject* x) {
    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()))
                return (signed int)-1;
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to signed int");
            return (signed int)-1;
        }
        return (signed int)val;
    }
    return (signed int)__Pyx_PyInt_AsSignedLong(x);
}

static INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject* x) {
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_CheckExact(x) || PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (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_CheckExact(x) || PyLong_Check(x))) {
        if (unlikely(Py_SIZE(x) < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned long");
            return (unsigned long)-1;
        }
        return PyLong_AsUnsignedLong(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 INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject* x) {
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_CheckExact(x) || PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (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_CheckExact(x) || PyLong_Check(x))) {
        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 PyLong_AsUnsignedLongLong(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 INLINE long __Pyx_PyInt_AsLong(PyObject* x) {
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_CheckExact(x) || PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        return (long)val;
    } else
#endif
    if (likely(PyLong_CheckExact(x) || PyLong_Check(x))) {
        return 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 INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject* x) {
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_CheckExact(x) || PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        return (PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_CheckExact(x) || PyLong_Check(x))) {
        return 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 INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject* x) {
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_CheckExact(x) || PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        return (signed long)val;
    } else
#endif
    if (likely(PyLong_CheckExact(x) || PyLong_Check(x))) {
        return 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 INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject* x) {
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_CheckExact(x) || PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        return (signed PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_CheckExact(x) || PyLong_Check(x))) {
        return 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;
    }
}

#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    long size)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;

    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    #if PY_MAJOR_VERSION < 3
    py_name = PyString_FromString(class_name);
    #else
    py_name = PyUnicode_FromString(class_name);
    #endif
    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;
    }
    if (((PyTypeObject *)result)->tp_basicsize != size) {
        PyErr_Format(PyExc_ValueError, 
            "%s.%s does not appear to be the correct type object",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return 0;
}
#endif

#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;

    #if PY_MAJOR_VERSION < 3
    py_name = PyString_FromString(name);
    #else
    py_name = PyUnicode_FromString(name);
    #endif
    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

#include "compile.h"
#include "frameobject.h"
#include "traceback.h"

static void __Pyx_AddTraceback(const char *funcname) {
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    PyObject *py_globals = 0;
    PyObject *empty_string = 0;
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;

    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(__pyx_filename);
    #else
    py_srcfile = PyUnicode_FromString(__pyx_filename);
    #endif
    if (!py_srcfile) goto bad;
    if (__pyx_clineno) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, __pyx_clineno);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, __pyx_clineno);
        #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_globals = PyModule_GetDict(__pyx_m);
    if (!py_globals) goto bad;
    #if PY_MAJOR_VERSION < 3
    empty_string = PyString_FromStringAndSize("", 0);
    #else
    empty_string = PyBytes_FromStringAndSize("", 0);
    #endif
    if (!empty_string) goto bad;
    py_code = PyCode_New(
        0,            /*int argcount,*/
        #if PY_MAJOR_VERSION >= 3
        0,            /*int kwonlyargcount,*/
        #endif
        0,            /*int nlocals,*/
        0,            /*int stacksize,*/
        0,            /*int flags,*/
        empty_string, /*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,*/
        __pyx_lineno,   /*int firstlineno,*/
        empty_string  /*PyObject *lnotab*/
    );
    if (!py_code) 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 = __pyx_lineno;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    Py_XDECREF(empty_string);
    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->is_identifier)) {
            *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_identifier || (t->is_unicode && t->intern)) {
            *t->p = PyUnicode_InternFromString(t->s);
        } else if (t->is_unicode) {
            *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;
}

/* Type Conversion Functions */

static INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   if (x == Py_True) return 1;
   else if ((x == Py_False) | (x == Py_None)) return 0;
   else return PyObject_IsTrue(x);
}

static 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 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 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 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;
}


