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#define PY_SSIZE_T_CLEAN
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#define CYTHON_ABI "0_23_4"
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#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
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typedef struct {
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} __Pyx_PyAsyncMethodsStruct;
#define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
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#define __Pyx_PyType_AsAsync(obj) NULL
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    #define CYTHON_RESTRICT __restrict__
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    #define CYTHON_RESTRICT restrict
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    #define CYTHON_RESTRICT
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#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)

#ifndef CYTHON_INLINE
  #if defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
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    #define CYTHON_INLINE
  #endif
#endif

#if defined(WIN32) || defined(MS_WINDOWS)
  #define _USE_MATH_DEFINES
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#include <math.h>
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#define __PYX_NAN() ((float) NAN)
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static CYTHON_INLINE float __PYX_NAN() {
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  return value;
}
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#if PY_MAJOR_VERSION >= 3
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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
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
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    #define __PYX_EXTERN_C extern
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#define __PYX_HAVE__pygrib
#define __PYX_HAVE_API__pygrib
#include "stdlib.h"
#include "stdio.h"
#include "numpy/arrayobject.h"
#include "grib_api.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
#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
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
typedef struct {PyObject **p; char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
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    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER) && defined (_M_X64)
    #define __Pyx_sst_abs(value) _abs64(value)
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyObject_AsSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
#endif
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(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);
#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))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
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/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */

static PyObject *__pyx_m;
static PyObject *__pyx_d;
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;


static const char *__pyx_f[] = {
  "pygrib.pyx",
};

/*--- Type declarations ---*/
struct __pyx_obj_6pygrib_open;
struct __pyx_obj_6pygrib_gribmessage;
struct __pyx_obj_6pygrib_index;
struct __pyx_opt_args_6pygrib__strencode;

/* "pygrib.pyx":2068
 *     return True
 * 
 * cdef _strencode(pystr,encoding=None):             # <<<<<<<<<<<<<<
 *     # encode a string into bytes.  If already bytes, do nothing.
 *     # uses default_encoding module variable for default encoding.
 */
struct __pyx_opt_args_6pygrib__strencode {
  int __pyx_n;
  PyObject *encoding;
};

/* "pygrib.pyx":362
 *     grib_multi_support_off(NULL)
 * 
 * cdef class open(object):             # <<<<<<<<<<<<<<
 *     """
 *     open(filename)
 */
struct __pyx_obj_6pygrib_open {
  PyObject_HEAD
  FILE *_fd;
  grib_handle *_gh;
  PyObject *name;
  PyObject *messagenumber;
  PyObject *messages;
  PyObject *closed;
  PyObject *has_multi_field_msgs;
};


/* "pygrib.pyx":794
 *     return fromstring(grb.tostring())
 * 
 * cdef class gribmessage(object):             # <<<<<<<<<<<<<<
 *     """
 *     Grib message object.
 */
struct __pyx_obj_6pygrib_gribmessage {
  PyObject_HEAD
  grib_handle *_gh;
  PyObject *messagenumber;
  PyObject *projparams;
  PyObject *validDate;
  PyObject *analDate;
  PyObject *expand_reduced;
  PyObject *_ro_keys;
  PyObject *_all_keys;
  PyObject *fcstimeunits;
};


/* "pygrib.pyx":1815
 *         return lats, lons
 * 
 * cdef class index(object):             # <<<<<<<<<<<<<<
 *     """
 * index(filename, *args)
 */
struct __pyx_obj_6pygrib_index {
  PyObject_HEAD
  grib_index *_gi;
  PyObject *keys;
  PyObject *types;
  PyObject *name;
};


/* --- Runtime support code (head) --- */
#ifndef CYTHON_REFNANNY
  #define CYTHON_REFNANNY 0
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#if CYTHON_REFNANNY
  typedef struct {
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    void (*DECREF)(void*, PyObject*, int);
    void (*GOTREF)(void*, PyObject*, int);
    void (*GIVEREF)(void*, PyObject*, int);
    void* (*SetupContext)(const char*, int, const char*);
    void (*FinishContext)(void**);
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#define __Pyx_XDECREF_SET(r, v) do {\
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#define __Pyx_CLEAR(r)    do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
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static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro))
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    return PyObject_GetAttr(obj, attr_name);
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#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
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static PyObject *__Pyx_GetBuiltinName(PyObject *name);

static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
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static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
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static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

#define __Pyx_CyFunction_USED 1
#include <structmember.h>
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CyFunction_GetClosure(f)\
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#define __Pyx_CyFunction_GetClassObj(f)\
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#define __Pyx_CyFunction_Defaults(type, f)\
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#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
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    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
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static PyTypeObject *__pyx_CyFunctionType = 0;
#define __Pyx_CyFunction_NewEx(ml, flags, qualname, self, module, globals, code)\
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static PyObject *__Pyx_CyFunction_New(PyTypeObject *, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *self,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
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static int __pyx_CyFunction_init(void);

static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

static CYTHON_INLINE int __Pyx_IterFinish(void);

static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_RemainderObjC(PyObject *op1, PyObject *op2, long intval, int inplace);
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#define __Pyx_PyInt_RemainderObjC(op1, op2, intval, inplace)\
    (inplace ? PyNumber_InPlaceRemainder(op1, op2) : PyNumber_Remainder(op1, op2))
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#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
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#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
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static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb);

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

static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name);

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

static CYTHON_INLINE long __Pyx_div_long(long, long);

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace);
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#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
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#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
#else
#define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
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#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
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#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
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static CYTHON_INLINE int __Pyx_CheckKeywordStrings(PyObject *kwdict, const char* function_name, int kw_allowed);

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, int inplace);
#else
#define __Pyx_PyInt_EqObjC(op1, op2, intval, inplace)\
    PyObject_RichCompare(op1, op2, Py_EQ)
    #endif

#define __Pyx_PyIter_Next(obj) __Pyx_PyIter_Next2(obj, NULL)
static CYTHON_INLINE PyObject *__Pyx_PyIter_Next2(PyObject *, PyObject *);

static CYTHON_INLINE void __Pyx_ExceptionSave(PyObject **type, PyObject **value, PyObject **tb);
static void __Pyx_ExceptionReset(PyObject *type, PyObject *value, PyObject *tb);

static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);

static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact);

static CYTHON_INLINE int __Pyx_PySequence_ContainsTF(PyObject* item, PyObject* seq, int eq) {
    int result = PySequence_Contains(seq, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o,n,NULL)
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
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    return PyObject_SetAttr(obj, attr_name, value);
}
#else
#define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
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static double __Pyx__PyObject_AsDouble(PyObject* obj);
#if CYTHON_COMPILING_IN_PYPY
#define __Pyx_PyObject_AsDouble(obj)\
(likely(PyFloat_CheckExact(obj)) ? PyFloat_AS_DOUBLE(obj) :\
 likely(PyInt_CheckExact(obj)) ?\
 PyFloat_AsDouble(obj) : __Pyx__PyObject_AsDouble(obj))
#else
#define __Pyx_PyObject_AsDouble(obj)\
((likely(PyFloat_CheckExact(obj))) ?\
 PyFloat_AS_DOUBLE(obj) : __Pyx__PyObject_AsDouble(obj))
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#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
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static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck);

#include <string.h>

static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
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#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
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#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyFloat_DivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace);
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#define __Pyx_PyFloat_DivideObjC(op1, op2, floatval, inplace)\
    ((inplace ? __Pyx_PyNumber_InPlaceDivide(op1, op2) : __Pyx_PyNumber_Divide(op1, op2)))
    #endif

#if PY_MAJOR_VERSION < 3
#define __Pyx_PyString_Join __Pyx_PyBytes_Join
#define __Pyx_PyBaseString_Join(s, v) (PyUnicode_CheckExact(s) ? PyUnicode_Join(s, v) : __Pyx_PyBytes_Join(s, v))
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#define __Pyx_PyString_Join PyUnicode_Join
#define __Pyx_PyBaseString_Join PyUnicode_Join
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#if CYTHON_COMPILING_IN_CPYTHON
    #if PY_MAJOR_VERSION < 3
    #define __Pyx_PyBytes_Join _PyString_Join
    #else
    #define __Pyx_PyBytes_Join _PyBytes_Join
    #endif
#else
static CYTHON_INLINE PyObject* __Pyx_PyBytes_Join(PyObject* sep, PyObject* values);
#endif

static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyFloat_EqObjC(PyObject *op1, PyObject *op2, double floatval, int inplace);
#else
#define __Pyx_PyFloat_EqObjC(op1, op2, floatval, inplace)\
    PyObject_RichCompare(op1, op2, Py_EQ)
    #endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_AddCObj(PyObject *op1, PyObject *op2, long intval, int inplace);
#else
#define __Pyx_PyInt_AddCObj(op1, op2, intval, inplace)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, long intval, int inplace);
#else
#define __Pyx_PyInt_SubtractObjC(op1, op2, intval, inplace)\
    (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyFloat_AddObjC(PyObject *op1, PyObject *op2, double floatval, int inplace);
#else
#define __Pyx_PyFloat_AddObjC(op1, op2, floatval, inplace)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyFloat_DivideCObj(PyObject *op1, PyObject *op2, double floatval, int inplace);
#else
#define __Pyx_PyFloat_DivideCObj(op1, op2, floatval, inplace)\
    ((inplace ? __Pyx_PyNumber_InPlaceDivide(op1, op2) : __Pyx_PyNumber_Divide(op1, op2)))
    #endif

static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d);

typedef struct {
    PyObject *type;
    PyObject **method_name;
    PyCFunction func;
    PyObject *method;
    int flag;
} __Pyx_CachedCFunction;

static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CallUnboundCMethod0(cfunc, self)\
    ((likely((cfunc)->func)) ?\
        (likely((cfunc)->flag == METH_NOARGS) ?  (*((cfunc)->func))(self, NULL) :\
         (likely((cfunc)->flag == (METH_VARARGS | METH_KEYWORDS)) ?  ((*(PyCFunctionWithKeywords)(cfunc)->func)(self, __pyx_empty_tuple, NULL)) :\
             ((cfunc)->flag == METH_VARARGS ?  (*((cfunc)->func))(self, __pyx_empty_tuple) : __Pyx__CallUnboundCMethod0(cfunc, self)))) :\
        __Pyx__CallUnboundCMethod0(cfunc, self))
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#define __Pyx_CallUnboundCMethod0(cfunc, self)  __Pyx__CallUnboundCMethod0(cfunc, self)
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static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);

#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) :\
               __Pyx_SetItemInt_Generic(o, to_py_func(i), v)))
static CYTHON_INLINE int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int is_list, int wraparound, int boundscheck);

typedef struct {
    int code_line;
    PyCodeObject* code_object;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);

static void __Pyx_AddTraceback(const char *funcname, int c_line,
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static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *);

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

static int __Pyx_check_binary_version(void);

#if !defined(__Pyx_PyIdentifier_FromString)
#if PY_MAJOR_VERSION < 3
  #define __Pyx_PyIdentifier_FromString(s) PyString_FromString(s)
#else
  #define __Pyx_PyIdentifier_FromString(s) PyUnicode_FromString(s)
#endif
#endif

static PyObject *__Pyx_ImportModule(const char *name);

static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, size_t size, int strict);

static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);


/* Module declarations from 'numpy' */

/* Module declarations from 'pygrib' */
static PyTypeObject *__pyx_ptype_6pygrib_ndarray = 0;
static PyTypeObject *__pyx_ptype_6pygrib_open = 0;
static PyTypeObject *__pyx_ptype_6pygrib_gribmessage = 0;
static PyTypeObject *__pyx_ptype_6pygrib_index = 0;
static PyObject *__pyx_f_6pygrib__create_gribmessage(grib_handle *, PyObject *); /*proto*/
static PyObject *__pyx_f_6pygrib__strencode(PyObject *, struct __pyx_opt_args_6pygrib__strencode *__pyx_optional_args); /*proto*/
#define __Pyx_MODULE_NAME "pygrib"
int __pyx_module_is_main_pygrib = 0;

/* Implementation of 'pygrib' */
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_IOError;
static PyObject *__pyx_builtin_StopIteration;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_xrange;
static PyObject *__pyx_builtin_KeyError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_AttributeError;
static PyObject *__pyx_builtin_IndexError;
static char __pyx_k_C[] = "C";
static char __pyx_k_F[] = "F";
static char __pyx_k_a[] = "a";
static char __pyx_k_b[] = "b";
static char __pyx_k_d[] = "d";
static char __pyx_k_h[] = "h";
static char __pyx_k_k[] = "k";
static char __pyx_k_l[] = "l";
static char __pyx_k_s[] = " %s";
static char __pyx_k_v[] = "v";
static char __pyx_k_Dx[] = "Dx";
static char __pyx_k_Dy[] = "Dy";
static char __pyx_k_Ni[] = "Ni";
static char __pyx_k_Nj[] = "Nj";
static char __pyx_k_Nr[] = "Nr";
static char __pyx_k_Nx[] = "Nx";
static char __pyx_k_Ny[] = "Ny";
static char __pyx_k__8[] = "";
static char __pyx_k_dx[] = "dx";
static char __pyx_k_dy[] = "dy";
static char __pyx_k_gh[] = "_gh";
static char __pyx_k_jd[] = "jd";
static char __pyx_k_ma[] = "ma";
static char __pyx_k_np[] = "np";
static char __pyx_k_pi[] = "pi";
static char __pyx_k_pl[] = "pl";
static char __pyx_k_rb[] = "rb";
static char __pyx_k_04i[] = "%04i";
static char __pyx_k_LaD[] = "LaD";
static char __pyx_k_LoV[] = "LoV";
static char __pyx_k__12[] = "-";
static char __pyx_k__17[] = ":";
static char __pyx_k__22[] = " (";
static char __pyx_k__23[] = ")";
static char __pyx_k__99[] = ",";
static char __pyx_k_aea[] = "aea";
static char __pyx_k_cyl[] = "cyl";
static char __pyx_k_day[] = "day";
static char __pyx_k_div[] = "div";
static char __pyx_k_err[] = "err";
static char __pyx_k_grb[] = "grb";
static char __pyx_k_hrs[] = "hrs";
static char __pyx_k_int[] = "int";
static char __pyx_k_key[] = "key";
static char __pyx_k_lcc[] = "lcc";
static char __pyx_k_max[] = "max";
static char __pyx_k_min[] = "min";
static char __pyx_k_msg[] = "msg";
static char __pyx_k_one[] = "one";
static char __pyx_k_s_2[] = " (> %s)";
static char __pyx_k_s_3[] = " (< %s)";
static char __pyx_k_s_4[] = "s";
static char __pyx_k_s_s[] = " (%s-%s)";
static char __pyx_k_sum[] = "sum";
static char __pyx_k_yrs[] = "yrs";
static char __pyx_k_7777[] = "7777";
static char __pyx_k_Proj[] = "Proj";
static char __pyx_k_aeqd[] = "aeqd";
static char __pyx_k_call[] = "__call__";
static char __pyx_k_copy[] = "copy";
static char __pyx_k_data[] = "data";
static char __pyx_k_days[] = "days";
static char __pyx_k_dict[] = "__dict__";
static char __pyx_k_fabs[] = "fabs";
static char __pyx_k_file[] = "file";
static char __pyx_k_find[] = "_find";
static char __pyx_k_from[] = ":from ";
static char __pyx_k_geos[] = "geos";
static char __pyx_k_gh_2[] = "gh";
static char __pyx_k_hour[] = "hour";
static char __pyx_k_isMA[] = "isMA";
static char __pyx_k_join[] = "join";
static char __pyx_k_keys[] = "keys";
static char __pyx_k_laea[] = "laea";
static char __pyx_k_lat1[] = "lat1";
static char __pyx_k_lat2[] = "lat2";
static char __pyx_k_lats[] = "lats";
static char __pyx_k_lon1[] = "lon1";
static char __pyx_k_lon2[] = "lon2";
static char __pyx_k_main[] = "__main__";
static char __pyx_k_merc[] = "merc";
static char __pyx_k_mins[] = "mins";
static char __pyx_k_msgs[] = "msgs";
static char __pyx_k_name[] = "name";
static char __pyx_k_ndim[] = "ndim";
static char __pyx_k_next[] = "next";
static char __pyx_k_proj[] = "proj";
static char __pyx_k_secs[] = "secs";
static char __pyx_k_seek[] = "seek";
static char __pyx_k_size[] = "size";
static char __pyx_k_tell[] = "tell";
static char __pyx_k_test[] = "__test__";
static char __pyx_k_warn[] = "warn";
static char __pyx_k_year[] = "year";
static char __pyx_k_zero[] = "zero";
static char __pyx_k_2_0_1[] = "2.0.1";
static char __pyx_k_Latin[] = "Latin";
static char __pyx_k_ascii[] = "ascii";
static char __pyx_k_atype[] = "atype";
static char __pyx_k_close[] = "close";
static char __pyx_k_d_d_d[] = "%d.%d.%d";
static char __pyx_k_eight[] = "eight";
static char __pyx_k_empty[] = "empty";
static char __pyx_k_false[] = "false";
static char __pyx_k_float[] = "float";
static char __pyx_k_ftime[] = "ftime";
static char __pyx_k_index[] = "index";
static char __pyx_k_items[] = "items";
static char __pyx_k_lat_0[] = "lat_0";
static char __pyx_k_lat_1[] = "lat_1";
static char __pyx_k_lat_2[] = "lat_2";
static char __pyx_k_level[] = "level";
static char __pyx_k_lon_0[] = "lon_0";
static char __pyx_k_major[] = "major";
static char __pyx_k_minor[] = "minor";
static char __pyx_k_month[] = "month";
static char __pyx_k_nlats[] = "nlats";
static char __pyx_k_nmsgs[] = "nmsgs";
static char __pyx_k_nsper[] = "nsper";
static char __pyx_k_numpy[] = "numpy";
static char __pyx_k_order[] = "order";
static char __pyx_k_power[] = "power";
static char __pyx_k_range[] = "range";
static char __pyx_k_shape[] = "shape";
static char __pyx_k_split[] = "split";
static char __pyx_k_stere[] = "stere";
static char __pyx_k_units[] = "units";
static char __pyx_k_value[] = "value";
static char __pyx_k_where[] = "where";
static char __pyx_k_zeros[] = "zeros";
static char __pyx_k_Latin1[] = "Latin1";
static char __pyx_k_Latin2[] = "Latin2";
static char __pyx_k_albers[] = "albers";
static char __pyx_k_arange[] = "arange";
static char __pyx_k_arcsin[] = "arcsin";
static char __pyx_k_decode[] = "decode";
static char __pyx_k_double[] = "double";
static char __pyx_k_eleven[] = "eleven";
static char __pyx_k_encode[] = "encode";
static char __pyx_k_filled[] = "filled";
static char __pyx_k_import[] = "__import__";
static char __pyx_k_julday[] = "julday";
static char __pyx_k_kwargs[] = "kwargs";
static char __pyx_k_lat_ts[] = "lat_ts";
static char __pyx_k_minute[] = "minute";
static char __pyx_k_months[] = "months";
static char __pyx_k_o_proj[] = "o_proj";
static char __pyx_k_pygrib[] = "pygrib";
static char __pyx_k_pyproj[] = "pyproj";
static char __pyx_k_radius[] = "radius";
static char __pyx_k_reload[] = "reload";
static char __pyx_k_rewind[] = "rewind";
static char __pyx_k_rstrip[] = "rstrip";
static char __pyx_k_second[] = "second";
static char __pyx_k_select[] = "select";
static char __pyx_k_values[] = "values";
static char __pyx_k_xrange[] = "xrange";
static char __pyx_k_IOError[] = "IOError";
static char __pyx_k_advance[] = "_advance";
static char __pyx_k_asarray[] = "asarray";
static char __pyx_k_decades[] = "decades";
static char __pyx_k_default[] = "default";
static char __pyx_k_float64[] = "float64";
static char __pyx_k_gaulats[] = "gaulats";
static char __pyx_k_get_key[] = "_get_key";
static char __pyx_k_getitem[] = "__getitem__";
static char __pyx_k_gribmsg[] = "gribmsg";
static char __pyx_k_gribstr[] = "gribstr";
static char __pyx_k_has_key[] = "has_key";
static char __pyx_k_indices[] = "indices";
static char __pyx_k_instant[] = "instant";
static char __pyx_k_inverse[] = "inverse";
static char __pyx_k_lambert[] = "lambert";
static char __pyx_k_latlons[] = "latlons";
static char __pyx_k_level_s[] = ":level %s";
static char __pyx_k_longlat[] = "longlat";
static char __pyx_k_message[] = "message";
static char __pyx_k_o_lat_p[] = "o_lat_p";
static char __pyx_k_o_lon_p[] = "o_lon_p";
static char __pyx_k_ob_tran[] = "ob_tran";
static char __pyx_k_paramId[] = "paramId";
static char __pyx_k_reduced[] = "reduced";
static char __pyx_k_reshape[] = "reshape";
static char __pyx_k_ro_keys[] = "_ro_keys";
static char __pyx_k_unknown[] = "unknown";
static char __pyx_k_version[] = "__version__";
static char __pyx_k_KeyError[] = "KeyError";
static char __pyx_k_all_keys[] = "_all_keys";
static char __pyx_k_analDate[] = "analDate";
static char __pyx_k_dataDate[] = "dataDate";
static char __pyx_k_dataTime[] = "dataTime";
static char __pyx_k_datetime[] = "datetime";
static char __pyx_k_ens_mean[] = ":ens mean";
static char __pyx_k_filename[] = "filename";
static char __pyx_k_gridType[] = "gridType";
static char __pyx_k_linspace[] = "linspace";
static char __pyx_k_localDir[] = "localDir";
static char __pyx_k_mercator[] = "mercator";
static char __pyx_k_meshgrid[] = "meshgrid";
static char __pyx_k_redtoreg[] = "redtoreg";
static char __pyx_k_revision[] = "revision";
static char __pyx_k_setdates[] = "setdates";
static char __pyx_k_stepType[] = "stepType";
static char __pyx_k_thousand[] = "thousand";
static char __pyx_k_topLevel[] = "topLevel";
static char __pyx_k_tostring[] = "tostring";
static char __pyx_k_warnings[] = "warnings";
static char __pyx_k_TypeError[] = "TypeError";
static char __pyx_k_centuries[] = "centuries";
static char __pyx_k_from_what[] = "from_what";
static char __pyx_k_ftimedict[] = "_ftimedict";
static char __pyx_k_julianDay[] = "julianDay";
static char __pyx_k_latitudes[] = "latitudes";
static char __pyx_k_ncepgrib2[] = "ncepgrib2";
static char __pyx_k_stepRange[] = "stepRange";
static char __pyx_k_stepUnits[] = "stepUnits";
static char __pyx_k_traceback[] = "traceback";
static char __pyx_k_validDate[] = "validDate";
static char __pyx_k_valid_key[] = "valid_key";
static char __pyx_k_DxInMetres[] = "DxInMetres";
static char __pyx_k_DyInMetres[] = "DyInMetres";
static char __pyx_k_IndexError[] = "IndexError";
static char __pyx_k_ValueError[] = "ValueError";
static char __pyx_k_ens_spread[] = ":ens spread";
static char __pyx_k_fromstring[] = "fromstring";
static char __pyx_k_gribstring[] = "gribstring";
static char __pyx_k_is_missing[] = "is_missing";
static char __pyx_k_iscallable[] = "iscallable";
static char __pyx_k_levels_s_s[] = ":levels %s-%s";
static char __pyx_k_longitudes[] = "longitudes";
static char __pyx_k_projparams[] = "projparams";
static char __pyx_k_redtoreg_2[] = "_redtoreg";
static char __pyx_k_reduced_gg[] = "reduced_gg";
static char __pyx_k_reduced_ll[] = "reduced_ll";
static char __pyx_k_regular_gg[] = "regular_gg";
static char __pyx_k_regular_ll[] = "regular_ll";
static char __pyx_k_rotated_gg[] = "rotated_gg";
static char __pyx_k_rotated_ll[] = "rotated_ll";
static char __pyx_k_space_view[] = "space_view";
static char __pyx_k_startswith[] = "startswith";
static char __pyx_k_typeOfGrid[] = "typeOfGrid";
static char __pyx_k_Grib2Decode[] = "Grib2Decode";
static char __pyx_k_ImportError[] = "ImportError";
static char __pyx_k_bottomLevel[] = "bottomLevel";
static char __pyx_k_ens_std_dev[] = ":ens std dev";
static char __pyx_k_iscontainer[] = "iscontainer";
static char __pyx_k_oneThousand[] = "oneThousand";
static char __pyx_k_packingType[] = "packingType";
static char __pyx_k_return_msgs[] = "return_msgs";
static char __pyx_k_typeOfLevel[] = "typeOfLevel";
static char __pyx_k_3_hr_periods[] = "3 hr periods";
static char __pyx_k_6_hr_periods[] = "6 hr periods";
static char __pyx_k_LaDInDegrees[] = "LaDInDegrees";
static char __pyx_k_LoVInDegrees[] = "LoVInDegrees";
static char __pyx_k_RuntimeError[] = "RuntimeError";
static char __pyx_k_fcstimeunits[] = "fcstimeunits";
static char __pyx_k_forecastTime[] = "forecastTime";
static char __pyx_k_grib2divider[] = "grib2divider";
static char __pyx_k_grid_complex[] = "grid_complex";
static char __pyx_k_is_container[] = "_is_container";
static char __pyx_k_missingValue[] = "missingValue";
static char __pyx_k_private_atts[] = "_private_atts";
static char __pyx_k_reshape_mask[] = "_reshape_mask";
static char __pyx_k_unshape_mask[] = "_unshape_mask";
static char __pyx_k_12_hr_periods[] = "12 hr periods";
static char __pyx_k_30_yr_periods[] = "30 yr periods";
static char __pyx_k_StopIteration[] = "StopIteration";
static char __pyx_k_fcst_time_s_s[] = ":fcst time %s %s";
static char __pyx_k_is_stringlike[] = "_is_stringlike";
static char __pyx_k_masked_values[] = "masked_values";
static char __pyx_k_messagenumber[] = "messagenumber";
static char __pyx_k_parameterName[] = "parameterName";
static char __pyx_k_AttributeError[] = "AttributeError";
static char __pyx_k_expand_reduced[] = "expand_reduced";
static char __pyx_k_neg_ens_pert_d[] = ":neg ens pert %d";
static char __pyx_k_numberOfValues[] = "numberOfValues";
static char __pyx_k_parameterUnits[] = "parameterUnits";
static char __pyx_k_pos_ens_pert_d[] = ":pos ens pert %d";
static char __pyx_k_read_only_keys[] = "_read_only_keys";
static char __pyx_k_set_projparams[] = "_set_projparams";
static char __pyx_k_Latin1InDegrees[] = "Latin1InDegrees";
static char __pyx_k_Latin2InDegrees[] = "Latin2InDegrees";
static char __pyx_k_derivedForecast[] = "derivedForecast";
static char __pyx_k_fcst_time_s_s_s[] = ":fcst time %s %s (%s)";
static char __pyx_k_numberOfMissing[] = "numberOfMissing";
static char __pyx_k_shapeOfTheEarth[] = "shapeOfTheEarth";
static char __pyx_k_truncateDegrees[] = "truncateDegrees";
static char __pyx_k_centralLongitude[] = "centralLongitude";
static char __pyx_k_could_not_open_s[] = "could not open %s";
static char __pyx_k_default_encoding[] = "default_encoding";
static char __pyx_k_grib_api_version[] = "grib_api_version";
static char __pyx_k_hi_res_cntl_fcst[] = ":hi res cntl fcst";
static char __pyx_k_lo_res_cntl_fcst[] = ":lo res cntl fcst";
static char __pyx_k_missingvalue_int[] = "missingvalue_int";
static char __pyx_k_multi_support_on[] = "multi_support_on";
static char __pyx_k_no_matches_found[] = "no matches found";
static char __pyx_k_standardParallel[] = "standardParallel";
static char __pyx_k_tolerate_badgrib[] = "tolerate_badgrib";
static char __pyx_k_distinctLatitudes[] = "distinctLatitudes";
static char __pyx_k_multi_support_off[] = "multi_support_off";
static char __pyx_k_weighted_ens_mean[] = ":weighted ens mean";
static char __pyx_k_datetime_to_julian[] = "datetime_to_julian";
static char __pyx_k_distinctLongitudes[] = "distinctLongitudes";
static char __pyx_k_julian_to_datetime[] = "julian_to_datetime";
static char __pyx_k_key_s_is_read_only[] = "key \"%s\" is read only";
static char __pyx_k_missingvalue_float[] = "missingvalue_float";
static char __pyx_k_nlats_must_be_even[] = "nlats must be even";
static char __pyx_k_perturbationNumber[] = "perturbationNumber";
static char __pyx_k_unsupported_grid_s[] = "unsupported grid %s";
static char __pyx_k_ens_mean_of_cluster[] = ":ens mean of cluster";
static char __pyx_k_iDirectionIncrement[] = "iDirectionIncrement";
static char __pyx_k_polar_stereographic[] = "polar_stereographic";
static char __pyx_k_probabilityTypeName[] = "probabilityTypeName";
static char __pyx_k_tolerate_badgrib_on[] = "tolerate_badgrib_on";
static char __pyx_k_get_grib_api_version[] = "_get_grib_api_version";
static char __pyx_k_mpl_toolkits_basemap[] = "mpl_toolkits.basemap";
static char __pyx_k_projectionCenterFlag[] = "projectionCenterFlag";
static char __pyx_k_projectionCentreFlag[] = "projectionCentreFlag";
static char __pyx_k_tolerate_badgrib_off[] = "tolerate_badgrib_off";
static char __pyx_k_jPointsAreConsecutive[] = "jPointsAreConsecutive";
static char __pyx_k_alternativeRowScanning[] = "alternativeRowScanning";
static char __pyx_k_array_must_be_1d_or_2d[] = "array must be 1d or 2d";
static char __pyx_k_normalized_ens_std_dev[] = ":normalized ens std dev";
static char __pyx_k_typeOfEnsembleForecast[] = "typeOfEnsembleForecast";
static char __pyx_k_ens_large_anomaly_index[] = ":ens large anomaly index";
static char __pyx_k_latitudeOfLastGridPoint[] = "latitudeOfLastGridPoint";
static char __pyx_k_scaleFactorOfLowerLimit[] = "scaleFactorOfLowerLimit";
static char __pyx_k_scaleFactorOfUpperLimit[] = "scaleFactorOfUpperLimit";
static char __pyx_k_scaledValueOfLowerLimit[] = "scaledValueOfLowerLimit";
static char __pyx_k_scaledValueOfUpperLimit[] = "scaledValueOfUpperLimit";
static char __pyx_k_typeOfFirstFixedSurface[] = "typeOfFirstFixedSurface";
static char __pyx_k_angleOfRotationInDegrees[] = "angleOfRotationInDegrees";
static char __pyx_k_latitudeOfFirstGridPoint[] = "latitudeOfFirstGridPoint";
static char __pyx_k_longitudeOfLastGridPoint[] = "longitudeOfLastGridPoint";
static char __pyx_k_typeOfSecondFixedSurface[] = "typeOfSecondFixedSurface";
static char __pyx_k_unitsOfFirstFixedSurface[] = "unitsOfFirstFixedSurface";
static char __pyx_k_unrecognized_grib_type_d[] = "unrecognized grib type % d";
static char __pyx_k_longitudeOfFirstGridPoint[] = "longitudeOfFirstGridPoint";
static char __pyx_k_indicatorOfUnitOfTimeRange[] = "indicatorOfUnitOfTimeRange";
static char __pyx_k_key_not_part_of_grib_index[] = "key not part of grib index";
static char __pyx_k_nmsgs_must_be_0_in__advance[] = "nmsgs must be >= 0 in _advance";
static char __pyx_k_scaledValueOfEarthMajorAxis[] = "scaledValueOfEarthMajorAxis";
static char __pyx_k_scaledValueOfEarthMinorAxis[] = "scaledValueOfEarthMinorAxis";
static char __pyx_k_lambert_azimuthal_equal_area[] = "lambert_azimuthal_equal_area";
static char __pyx_k_xDirectionGridLengthInMetres[] = "xDirectionGridLengthInMetres";
static char __pyx_k_yDirectionGridLengthInMetres[] = "yDirectionGridLengthInMetres";
static char __pyx_k_orientationOfTheGridInDegrees[] = "orientationOfTheGridInDegrees";
static char __pyx_k_Introduction_Python_module_for[] = "\nIntroduction\n============\n\nPython module for reading and writing GRIB (editions 1 and 2) files.\nGRIB is the World Meterological Organization\nU{standard<http://www.wmo.ch/pages/prog/www/WMOCodes/GRIB.html>} \nfor distributing gridded data. \nThe module is a python interface to the\nU{GRIB API<https://software.ecmwf.int/wiki/display/GRIB/Home>} C library\nfrom the European Centre for Medium-Range Weather Forecasts\n(U{ECMWF<http://www.ecmwf.int>}).\n\nRequired\n========\n\n- U{Python<http://python.org>} 2.4 or higher.\n- U{numpy<http://sourceforge.net/project/showfiles.php?group_id=1369>}\n  N-dimensional array object for python. Version 1.2.1 or higher (version\n  1.5.1 required for Python 3).\n- U{pyproj<http://code.google.com/p/pyproj/>} Python interface to \n  U{PROJ.4<http://trac.osgeo.org/proj>} library for cartographic\n  transformations B{or} U{matplotlib<http://matplotlib.sf.net>} and\n  the U{basemap<http://matplotlib.sf.net/basemap/doc/html>} toolkit.\n  Pyproj 1.8.9 is required for Python 3.\n- U{GRIB API<https://software.ecmwf.int/wiki/display/GRIB/Home>} C library\n  for encoding and decoding GRIB messages (edition 1 and edition 2).\n  Version 1.8.0 or higher required.\n  To be fully functional, the GRIB API library requires\n  U{Jasper<http://www.ece.uvic.ca/~mdadams/jasper>} or \n  U{OpenJPEG<http://www.openjpeg.org>} for JPEG200 encoding,\n  and U{PNG<http://www.libpng.org/pub/png/libpng.html>} for PNG encoding.\n\nThese dependencies are available via the package management system of most\nLinux distributions, and on MacOS X using U{macports<http://macports.org/>}. \nIf you build grib_api yourself as a static library on a 64-bit system\nyou may need to set C{CFLAGS} to C{'-O2 -fPIC'} before running the C{configure}\nscript.  To use pygrib on Windows, you must use the\nU{Cygwin<http://cygwin.com>} environment, since the grib_api library requires a \nposix environment.  Cygwin installation instructions are available\nU{here<http://code.google.com""/p/pygrib/wiki/CygwinWindowsInstall>}.\n\nInstallation\n============\n\n - U{Download<http://code.google.com/p/pygrib/downloads/list>} the source code. \n - pygrib installation options can either be set with environment variables,\n or specified in a text file (setup.cfg).  To use environment variables,\n set C{$GRIBAPI_DIR}, C{$JASPER_DIR}, C{$OPENJPEG_DIR},\n C{$PNG_DIR} and C{$ZLIB_DIR} so that the include files and libraries for\n GRIB API, Jasper, OpenJPEG, PNG and zlib will be found.  \n For example, the include files for \n jasper should be found in C{$JASPER_DIR/include} or\n C{$JASPER_DIR/include/jasper}, and the jasper\n library should be found in C{$JASPER_DIR/lib} or C{$JASPER_DIR/lib64}. If any of\n those environment variables are not set, then it is assumed that GRIB API was\n not built with support for that library.\n If the libraries and\n include files are installed in separate locations, the environment variables\n C{$GRIBAPI_INCDIR} and C{$GRIBAPI_LIBDIR} can be used to define the locations\n separately (same goes for C{JASPER}, C{OPENJPEG}, C{PNG} and C{ZLIB}).\n Note that if both C{$GRIBAPI_DIR} and C{$GRIBAPI_INCDIR}/C{$GRIBAPI_LIBDIR}\n are specified, C{$GRIBAPI_DIR} takes precedence.\n To use setup.cfg, copy setup.cfg.template to setup.cfg, open setup.cfg in a \n text editor and follow the instructions in the comments for editing.\n - Run 'python setup.py build' and then 'python setup.py install', as root if necessary.\n Note that if you are using environment variables to specify the build options,\n you cannot build and install in one step with 'sudo python setup.py install',\n since sudo does not pass environment variables.  Instead, run 'python setup.py\n build' first as a regular user, then run 'sudo python setup.py install' if the\n install directory requires admin or root privileges.\n - Run 'python test.py' to test your installation.\n - Look at examples in C{test} directory (most require \n U{matplotlib<http://matplotlib.sf.net>} and""\n U{basemap<http://matplotlib.sourceforge.net/basemap/doc/html/>}).\n - If you're on MacOS X, see README.macosx\n for special instruction on how to install pygrib and all it's\n dependencies using U{macports<http://macports.org>}.\n\n\nExample usage\n=============\n\n - from the python interpreter prompt, import the package::\n    >>> import pygrib\n - open a GRIB file, create a grib message iterator::\n    >>> grbs = pygrib.open('sampledata/flux.grb')  \n - pygrib open instances behave like regular python file objects, with\n C{seek}, C{tell}, C{read}, C{readline} and C{close} methods, except that offsets\n are measured in grib messages instead of bytes::\n    >>> grbs.seek(2)\n    >>> grbs.tell()\n    2\n    >>> grb = grbs.read(1)[0] # read returns a list with the next N (N=1 in this case) messages.\n    >>> grb # printing a grib message object displays summary info\n    3:Maximum temperature:K (instant):regular_gg:heightAboveGround:level 2 m:fcst time 108-120 hrs:from 200402291200\n    >>> grbs.tell()\n    3\n - print an inventory of the file::\n    >>> grbs.seek(0)\n    >>> for grb in grbs:\n    >>>     grb \n    1:Precipitation rate:kg m**-2 s**-1 (avg):regular_gg:surface:level 0:fcst time 108-120 hrs (avg):from 200402291200\n    2:Surface pressure:Pa (instant):regular_gg:surface:level 0:fcst time 120 hrs:from 200402291200\n    3:Maximum temperature:K (instant):regular_gg:heightAboveGround:level 2 m:fcst time 108-120 hrs:from 200402291200\n    4:Minimum temperature:K (instant):regular_gg:heightAboveGround:level 2 m:fcst time 108-120 hrs:from 200402291200\n - find the first grib message with a matching name::\n    >>> grb = grbs.select(name='Maximum temperature')[0]\n - extract the data values using the 'values' key\n (grb.keys() will return a list of the available keys)::\n    # The data is returned as a numpy array, or if missing values or a bitmap\n    # are present, a numpy masked array.  Reduced lat/lon or gaussian grid\n    # data is automatically expande""d to a regular grid. Details of the internal\n    # representation of the grib data (such as the scanning mode) are handled\n    # automatically.\n    >>> maxt = grb.values # same as grb['values']\n    >>> maxt.shape, maxt.min(), maxt.max()\n    (94, 192) 223.7 319.9\n - get the latitudes and longitudes of the grid::\n    >>> lats, lons = grb.latlons()\n    >>> lats.shape, lats.min(), lats.max(), lons.shape, lons.min(), lons.max()\n    (94, 192) -88.5419501373 88.5419501373  0.0 358.125\n - get the second grib message::\n    >>> grb = grbs.message(2) # same as grbs.seek(1); grb=grbs.readline()\n    >>> grb\n    2:Surface pressure:Pa (instant):regular_gg:surface:level 0:fcst time 120 hrs:from 200402291200\n - extract data and get lat/lon values for a subset over North America::\n    >>> data, lats, lons = grb.data(lat1=20,lat2=70,lon1=220,lon2=320)\n    >>> data.shape, lats.min(), lats.max(), lons.min(), lons.max()\n    (26, 53) 21.904439458 69.5216630593 221.25 318.75\n - modify the values associated with existing keys (either via attribute or\n dictionary access)::\n    >>> grb['forecastTime'] = 240\n    >>> grb.dataDate = 20100101\n - get the binary string associated with the coded message::\n    >>> msg = grb.tostring()\n    >>> grbs.close() # close the grib file.\n - write the modified message to a new GRIB file::\n    >>> grbout = open('test.grb','wb')\n    >>> grbout.write(msg)\n    >>> grbout.close()\n    >>> pygrib.open('test.grb').readline() \n    1:Surface pressure:Pa (instant):regular_gg:surface:level 0:fcst time 240 hrs:from 201001011200\n\nDocumentation\n=============\n\n - see below for the full python API documentation.\n  \n@author: Jeffrey Whitaker.\n\n@contact: U{Jeff Whitaker<mailto:jeffrey.s.whitaker@noaa.gov>}\n\n@version: 2.0.0\n\n@copyright: copyright 2010 by Jeffrey Whitaker.\n\n@license: Permission to use, copy, modify, and distribute this software and its\ndocumentation for any purpose and without fee is hereby granted,\nprovided that the a""bove copyright notice appear in all copies and that\nboth that copyright notice and this permission notice appear in\nsupporting documentation.\nTHE AUTHOR DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,\nINCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO\nEVENT SHALL THE AUTHOR BE LIABLE FOR ANY SPECIAL, INDIRECT OR\nCONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF\nUSE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR\nOTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR\nPERFORMANCE OF THIS SOFTWARE.";
static char __pyx_k_grb_message_numbers_start_at_1[] = "grb message numbers start at 1";
static char __pyx_k_not_that_many_messages_in_file[] = "not that many messages in file";
static char __pyx_k_scaleFactorOfFirstFixedSurface[] = "scaleFactorOfFirstFixedSurface";
static char __pyx_k_scaledValueOfFirstFixedSurface[] = "scaledValueOfFirstFixedSurface";
static char __pyx_k_Users_jsw_python_pygrib_git_pyg[] = "/Users/jsw/python/pygrib.git/pygrib.pyx";
static char __pyx_k_file_s_has_multi_field_messages[] = "\nfile %s has multi-field messages, keys inside multi-field\nmessages will not be indexed correctly";
static char __pyx_k_get_grib_api_version_locals_lam[] = "_get_grib_api_version.<locals>.<lambda>";
static char __pyx_k_latitudeOfSouthernPoleInDegrees[] = "latitudeOfSouthernPoleInDegrees";
static char __pyx_k_reduced_grid_data_array_must_be[] = "reduced grid data array must be 1d";
static char __pyx_k_scaleFactorOfSecondFixedSurface[] = "scaleFactorOfSecondFixedSurface";
static char __pyx_k_scaledValueOfSecondFixedSurface[] = "scaledValueOfSecondFixedSurface";
static char __pyx_k_unknown_shape_of_the_earth_flag[] = "unknown shape of the earth flag";
static char __pyx_k_This_class_cannot_be_instantiate[] = "This class cannot be instantiated from Python";
static char __pyx_k_can_only_modify_existing_grib_ke[] = "can only modify existing grib keys (key \"%s\" not found)";
static char __pyx_k_cannot_find_projection_center_fl[] = "cannot find projection center flag";
static char __pyx_k_either_pyproj_or_basemap_require[] = "either pyproj or basemap required";
static char __pyx_k_equatorial_azimuthal_equidistant[] = "equatorial_azimuthal_equidistant";
static char __pyx_k_from_what_keyword_arg_to_seek_mu[] = "from_what keyword arg to seek must be 0,1 or 2";
static char __pyx_k_key_must_be_an_integer_message_n[] = "key must be an integer message number or a slice";
static char __pyx_k_latitudeOfFirstGridPointInDegree[] = "latitudeOfFirstGridPointInDegrees";
static char __pyx_k_latitudeOfLastGridPointInDegrees[] = "latitudeOfLastGridPointInDegrees";
static char __pyx_k_latitudeOfSubSatellitePointInDeg[] = "latitudeOfSubSatellitePointInDegrees";
static char __pyx_k_latitudeWhereDxAndDyAreSpecified[] = "latitudeWhereDxAndDyAreSpecifiedInDegrees";
static char __pyx_k_longitudeOfFirstGridPointInDegre[] = "longitudeOfFirstGridPointInDegrees";
static char __pyx_k_longitudeOfLastGridPointInDegree[] = "longitudeOfLastGridPointInDegrees";
static char __pyx_k_longitudeOfSouthernPoleInDegrees[] = "longitudeOfSouthernPoleInDegrees";
static char __pyx_k_longitudeOfSubSatellitePointInDe[] = "longitudeOfSubSatellitePointInDegrees";
static char __pyx_k_scaleFactorOfMajorAxisOfOblateSp[] = "scaleFactorOfMajorAxisOfOblateSpheroidEarth";
static char __pyx_k_scaleFactorOfMinorAxisOfOblateSp[] = "scaleFactorOfMinorAxisOfOblateSpheroidEarth";
static char __pyx_k_scaleFactorOfRadiusOfSphericalEa[] = "scaleFactorOfRadiusOfSphericalEarth";
static char __pyx_k_scaledValueOfMajorAxisOfOblateSp[] = "scaledValueOfMajorAxisOfOblateSpheroidEarth";
static char __pyx_k_scaledValueOfMinorAxisOfOblateSp[] = "scaledValueOfMinorAxisOfOblateSpheroidEarth";
static char __pyx_k_scaledValueOfRadiusOfSphericalEa[] = "scaledValueOfRadiusOfSphericalEarth";
static char __pyx_k_unsupported_grid_earth_not_a_per[] = "unsupported grid - earth not a perfect sphere";
static char __pyx_k_value_must_be_float_int_or_strin[] = "value must be float, int or string";
static PyObject *__pyx_kp_s_04i;
static PyObject *__pyx_kp_s_12_hr_periods;
static PyObject *__pyx_kp_s_2_0_1;
static PyObject *__pyx_kp_s_30_yr_periods;
static PyObject *__pyx_kp_s_3_hr_periods;
static PyObject *__pyx_kp_s_6_hr_periods;
static PyObject *__pyx_kp_s_7777;
static PyObject *__pyx_n_s_AttributeError;
static PyObject *__pyx_n_s_C;
static PyObject *__pyx_n_s_Dx;
static PyObject *__pyx_n_s_DxInMetres;
static PyObject *__pyx_n_s_Dy;
static PyObject *__pyx_n_s_DyInMetres;
static PyObject *__pyx_n_s_F;
static PyObject *__pyx_n_s_Grib2Decode;
static PyObject *__pyx_n_s_IOError;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_n_s_KeyError;
static PyObject *__pyx_n_s_LaD;
static PyObject *__pyx_n_s_LaDInDegrees;
static PyObject *__pyx_n_s_Latin;
static PyObject *__pyx_n_s_Latin1;
static PyObject *__pyx_n_s_Latin1InDegrees;
static PyObject *__pyx_n_s_Latin2;
static PyObject *__pyx_n_s_Latin2InDegrees;
static PyObject *__pyx_n_s_LoV;
static PyObject *__pyx_n_s_LoVInDegrees;
static PyObject *__pyx_n_s_Ni;
static PyObject *__pyx_n_s_Nj;
static PyObject *__pyx_n_s_Nr;
static PyObject *__pyx_n_s_Nx;
static PyObject *__pyx_n_s_Ny;
static PyObject *__pyx_n_s_Proj;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_StopIteration;
static PyObject *__pyx_kp_s_This_class_cannot_be_instantiate;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_s_Users_jsw_python_pygrib_git_pyg;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_kp_s__12;
static PyObject *__pyx_kp_s__17;
static PyObject *__pyx_kp_s__22;
static PyObject *__pyx_kp_s__23;
static PyObject *__pyx_kp_s__8;
static PyObject *__pyx_kp_s__99;
static PyObject *__pyx_n_s_a;
static PyObject *__pyx_n_s_advance;
static PyObject *__pyx_n_s_aea;
static PyObject *__pyx_n_s_aeqd;
static PyObject *__pyx_n_s_albers;
static PyObject *__pyx_n_s_all_keys;
static PyObject *__pyx_n_s_alternativeRowScanning;
static PyObject *__pyx_n_s_analDate;
static PyObject *__pyx_n_s_angleOfRotationInDegrees;
static PyObject *__pyx_n_s_arange;
static PyObject *__pyx_n_s_arcsin;
static PyObject *__pyx_kp_s_array_must_be_1d_or_2d;
static PyObject *__pyx_n_s_asarray;
static PyObject *__pyx_n_s_ascii;
static PyObject *__pyx_n_s_atype;
static PyObject *__pyx_n_s_b;
static PyObject *__pyx_n_s_bottomLevel;
static PyObject *__pyx_n_s_call;
static PyObject *__pyx_kp_s_can_only_modify_existing_grib_ke;
static PyObject *__pyx_kp_s_cannot_find_projection_center_fl;
static PyObject *__pyx_n_s_centralLongitude;
static PyObject *__pyx_n_s_centuries;
static PyObject *__pyx_n_s_close;
static PyObject *__pyx_n_s_copy;
static PyObject *__pyx_kp_s_could_not_open_s;
static PyObject *__pyx_n_s_cyl;
static PyObject *__pyx_n_s_d;
static PyObject *__pyx_kp_s_d_d_d;
static PyObject *__pyx_n_s_data;
static PyObject *__pyx_n_s_dataDate;
static PyObject *__pyx_n_s_dataTime;
static PyObject *__pyx_n_s_datetime;
static PyObject *__pyx_n_s_datetime_to_julian;
static PyObject *__pyx_n_s_day;
static PyObject *__pyx_n_s_days;
static PyObject *__pyx_n_s_decades;
static PyObject *__pyx_n_s_decode;
static PyObject *__pyx_n_s_default;
static PyObject *__pyx_n_s_default_encoding;
static PyObject *__pyx_n_s_derivedForecast;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_distinctLatitudes;
static PyObject *__pyx_n_s_distinctLongitudes;
static PyObject *__pyx_n_s_div;
static PyObject *__pyx_n_s_double;
static PyObject *__pyx_n_s_dx;
static PyObject *__pyx_n_s_dy;
static PyObject *__pyx_n_s_eight;
static PyObject *__pyx_kp_s_either_pyproj_or_basemap_require;
static PyObject *__pyx_n_s_eleven;
static PyObject *__pyx_n_s_empty;
static PyObject *__pyx_n_s_encode;
static PyObject *__pyx_kp_s_ens_large_anomaly_index;
static PyObject *__pyx_kp_s_ens_mean;
static PyObject *__pyx_kp_s_ens_mean_of_cluster;
static PyObject *__pyx_kp_s_ens_spread;
static PyObject *__pyx_kp_s_ens_std_dev;
static PyObject *__pyx_n_s_equatorial_azimuthal_equidistant;
static PyObject *__pyx_n_s_err;
static PyObject *__pyx_n_s_expand_reduced;
static PyObject *__pyx_n_s_fabs;
static PyObject *__pyx_n_s_false;
static PyObject *__pyx_kp_s_fcst_time_s_s;
static PyObject *__pyx_kp_s_fcst_time_s_s_s;
static PyObject *__pyx_n_s_fcstimeunits;
static PyObject *__pyx_n_s_file;
static PyObject *__pyx_kp_s_file_s_has_multi_field_messages;
static PyObject *__pyx_n_s_filename;
static PyObject *__pyx_n_s_filled;
static PyObject *__pyx_n_s_find;
static PyObject *__pyx_n_s_float;
static PyObject *__pyx_n_s_float64;
static PyObject *__pyx_n_s_forecastTime;
static PyObject *__pyx_kp_s_from;
static PyObject *__pyx_n_s_from_what;
static PyObject *__pyx_kp_s_from_what_keyword_arg_to_seek_mu;
static PyObject *__pyx_n_s_fromstring;
static PyObject *__pyx_n_s_ftime;
static PyObject *__pyx_n_s_ftimedict;
static PyObject *__pyx_n_s_gaulats;
static PyObject *__pyx_n_s_geos;
static PyObject *__pyx_n_s_get_grib_api_version;
static PyObject *__pyx_n_s_get_grib_api_version_locals_lam;
static PyObject *__pyx_n_s_get_key;
static PyObject *__pyx_n_s_getitem;
static PyObject *__pyx_n_s_gh;
static PyObject *__pyx_n_s_gh_2;
static PyObject *__pyx_n_s_grb;
static PyObject *__pyx_kp_s_grb_message_numbers_start_at_1;
static PyObject *__pyx_n_s_grib2divider;
static PyObject *__pyx_n_s_grib_api_version;
static PyObject *__pyx_n_s_gribmsg;
static PyObject *__pyx_n_s_gribstr;
static PyObject *__pyx_n_s_gribstring;
static PyObject *__pyx_n_s_gridType;
static PyObject *__pyx_n_s_grid_complex;
static PyObject *__pyx_n_s_h;
static PyObject *__pyx_n_s_has_key;
static PyObject *__pyx_kp_s_hi_res_cntl_fcst;
static PyObject *__pyx_n_s_hour;
static PyObject *__pyx_n_s_hrs;
static PyObject *__pyx_n_s_iDirectionIncrement;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_index;
static PyObject *__pyx_n_s_indicatorOfUnitOfTimeRange;
static PyObject *__pyx_n_s_indices;
static PyObject *__pyx_n_s_instant;
static PyObject *__pyx_n_s_int;
static PyObject *__pyx_n_s_inverse;
static PyObject *__pyx_n_s_isMA;
static PyObject *__pyx_n_s_is_container;
static PyObject *__pyx_n_s_is_missing;
static PyObject *__pyx_n_s_is_stringlike;
static PyObject *__pyx_n_s_iscallable;
static PyObject *__pyx_n_s_iscontainer;
static PyObject *__pyx_n_s_items;
static PyObject *__pyx_n_s_jPointsAreConsecutive;
static PyObject *__pyx_n_s_jd;
static PyObject *__pyx_n_s_join;
static PyObject *__pyx_n_s_julday;
static PyObject *__pyx_n_s_julianDay;
static PyObject *__pyx_n_s_julian_to_datetime;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_s_key;
static PyObject *__pyx_kp_s_key_must_be_an_integer_message_n;
static PyObject *__pyx_kp_s_key_not_part_of_grib_index;
static PyObject *__pyx_kp_s_key_s_is_read_only;
static PyObject *__pyx_n_s_keys;
static PyObject *__pyx_n_s_kwargs;
static PyObject *__pyx_n_s_l;
static PyObject *__pyx_n_s_laea;
static PyObject *__pyx_n_s_lambert;
static PyObject *__pyx_n_s_lambert_azimuthal_equal_area;
static PyObject *__pyx_n_s_lat1;
static PyObject *__pyx_n_s_lat2;
static PyObject *__pyx_n_s_lat_0;
static PyObject *__pyx_n_s_lat_1;
static PyObject *__pyx_n_s_lat_2;
static PyObject *__pyx_n_s_lat_ts;
static PyObject *__pyx_n_s_latitudeOfFirstGridPoint;
static PyObject *__pyx_n_s_latitudeOfFirstGridPointInDegree;
static PyObject *__pyx_n_s_latitudeOfLastGridPoint;
static PyObject *__pyx_n_s_latitudeOfLastGridPointInDegrees;
static PyObject *__pyx_n_s_latitudeOfSouthernPoleInDegrees;
static PyObject *__pyx_n_s_latitudeOfSubSatellitePointInDeg;
static PyObject *__pyx_n_s_latitudeWhereDxAndDyAreSpecified;
static PyObject *__pyx_n_s_latitudes;
static PyObject *__pyx_n_s_latlons;
static PyObject *__pyx_n_s_lats;
static PyObject *__pyx_n_s_lcc;
static PyObject *__pyx_n_s_level;
static PyObject *__pyx_kp_s_level_s;
static PyObject *__pyx_kp_s_levels_s_s;
static PyObject *__pyx_n_s_linspace;
static PyObject *__pyx_kp_s_lo_res_cntl_fcst;
static PyObject *__pyx_n_s_localDir;
static PyObject *__pyx_n_s_lon1;
static PyObject *__pyx_n_s_lon2;
static PyObject *__pyx_n_s_lon_0;
static PyObject *__pyx_n_s_longitudeOfFirstGridPoint;
static PyObject *__pyx_n_s_longitudeOfFirstGridPointInDegre;
static PyObject *__pyx_n_s_longitudeOfLastGridPoint;
static PyObject *__pyx_n_s_longitudeOfLastGridPointInDegree;
static PyObject *__pyx_n_s_longitudeOfSouthernPoleInDegrees;
static PyObject *__pyx_n_s_longitudeOfSubSatellitePointInDe;
static PyObject *__pyx_n_s_longitudes;
static PyObject *__pyx_n_s_longlat;
static PyObject *__pyx_n_s_ma;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_major;
static PyObject *__pyx_n_s_masked_values;
static PyObject *__pyx_n_s_max;
static PyObject *__pyx_n_s_merc;
static PyObject *__pyx_n_s_mercator;
static PyObject *__pyx_n_s_meshgrid;
static PyObject *__pyx_n_s_message;
static PyObject *__pyx_n_s_messagenumber;
static PyObject *__pyx_n_s_min;
static PyObject *__pyx_n_s_minor;
static PyObject *__pyx_n_s_mins;
static PyObject *__pyx_n_s_minute;
static PyObject *__pyx_n_s_missingValue;
static PyObject *__pyx_n_s_missingvalue_float;
static PyObject *__pyx_n_s_missingvalue_int;
static PyObject *__pyx_n_s_month;
static PyObject *__pyx_n_s_months;
static PyObject *__pyx_n_s_mpl_toolkits_basemap;
static PyObject *__pyx_n_s_msg;
static PyObject *__pyx_n_s_msgs;
static PyObject *__pyx_n_s_multi_support_off;
static PyObject *__pyx_n_s_multi_support_on;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_ncepgrib2;
static PyObject *__pyx_n_s_ndim;
static PyObject *__pyx_kp_s_neg_ens_pert_d;
static PyObject *__pyx_n_s_next;
static PyObject *__pyx_n_s_nlats;
static PyObject *__pyx_kp_s_nlats_must_be_even;
static PyObject *__pyx_n_s_nmsgs;
static PyObject *__pyx_kp_s_nmsgs_must_be_0_in__advance;
static PyObject *__pyx_kp_s_no_matches_found;
static PyObject *__pyx_kp_s_normalized_ens_std_dev;
static PyObject *__pyx_kp_s_not_that_many_messages_in_file;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_nsper;
static PyObject *__pyx_n_s_numberOfMissing;
static PyObject *__pyx_n_s_numberOfValues;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_n_s_o_lat_p;
static PyObject *__pyx_n_s_o_lon_p;
static PyObject *__pyx_n_s_o_proj;
static PyObject *__pyx_n_s_ob_tran;
static PyObject *__pyx_n_s_one;
static PyObject *__pyx_n_s_oneThousand;
static PyObject *__pyx_n_s_order;
static PyObject *__pyx_n_s_orientationOfTheGridInDegrees;
static PyObject *__pyx_n_s_packingType;
static PyObject *__pyx_n_s_paramId;
static PyObject *__pyx_n_s_parameterName;
static PyObject *__pyx_n_s_parameterUnits;
static PyObject *__pyx_n_s_perturbationNumber;
static PyObject *__pyx_n_s_pi;
static PyObject *__pyx_n_s_pl;
static PyObject *__pyx_n_s_polar_stereographic;
static PyObject *__pyx_kp_s_pos_ens_pert_d;
static PyObject *__pyx_n_s_power;
static PyObject *__pyx_n_s_private_atts;
static PyObject *__pyx_n_s_probabilityTypeName;
static PyObject *__pyx_n_s_proj;
static PyObject *__pyx_n_s_projectionCenterFlag;
static PyObject *__pyx_n_s_projectionCentreFlag;
static PyObject *__pyx_n_s_projparams;
static PyObject *__pyx_n_s_pygrib;
static PyObject *__pyx_n_s_pyproj;
static PyObject *__pyx_n_s_radius;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_read_only_keys;
static PyObject *__pyx_n_s_redtoreg;
static PyObject *__pyx_n_s_redtoreg_2;
static PyObject *__pyx_n_s_reduced;
static PyObject *__pyx_n_s_reduced_gg;
static PyObject *__pyx_kp_s_reduced_grid_data_array_must_be;
static PyObject *__pyx_n_s_reduced_ll;
static PyObject *__pyx_n_s_regular_gg;
static PyObject *__pyx_n_s_regular_ll;
static PyObject *__pyx_n_s_reload;
static PyObject *__pyx_n_s_reshape;
static PyObject *__pyx_n_s_reshape_mask;
static PyObject *__pyx_n_s_return_msgs;
static PyObject *__pyx_n_s_revision;
static PyObject *__pyx_n_s_rewind;
static PyObject *__pyx_n_s_ro_keys;
static PyObject *__pyx_n_s_rotated_gg;
static PyObject *__pyx_n_s_rotated_ll;
static PyObject *__pyx_n_s_rstrip;
static PyObject *__pyx_kp_s_s;
static PyObject *__pyx_kp_s_s_2;
static PyObject *__pyx_kp_s_s_3;
static PyObject *__pyx_n_s_s_4;
static PyObject *__pyx_kp_s_s_s;
static PyObject *__pyx_n_s_scaleFactorOfFirstFixedSurface;
static PyObject *__pyx_n_s_scaleFactorOfLowerLimit;
static PyObject *__pyx_n_s_scaleFactorOfMajorAxisOfOblateSp;
static PyObject *__pyx_n_s_scaleFactorOfMinorAxisOfOblateSp;
static PyObject *__pyx_n_s_scaleFactorOfRadiusOfSphericalEa;
static PyObject *__pyx_n_s_scaleFactorOfSecondFixedSurface;
static PyObject *__pyx_n_s_scaleFactorOfUpperLimit;
static PyObject *__pyx_n_s_scaledValueOfEarthMajorAxis;
static PyObject *__pyx_n_s_scaledValueOfEarthMinorAxis;
static PyObject *__pyx_n_s_scaledValueOfFirstFixedSurface;
static PyObject *__pyx_n_s_scaledValueOfLowerLimit;
static PyObject *__pyx_n_s_scaledValueOfMajorAxisOfOblateSp;
static PyObject *__pyx_n_s_scaledValueOfMinorAxisOfOblateSp;
static PyObject *__pyx_n_s_scaledValueOfRadiusOfSphericalEa;
static PyObject *__pyx_n_s_scaledValueOfSecondFixedSurface;
static PyObject *__pyx_n_s_scaledValueOfUpperLimit;
static PyObject *__pyx_n_s_second;
static PyObject *__pyx_n_s_secs;
static PyObject *__pyx_n_s_seek;
static PyObject *__pyx_n_s_select;
static PyObject *__pyx_n_s_set_projparams;
static PyObject *__pyx_n_s_setdates;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_s_shapeOfTheEarth;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_space_view;
static PyObject *__pyx_n_s_split;
static PyObject *__pyx_n_s_standardParallel;
static PyObject *__pyx_n_s_startswith;
static PyObject *__pyx_n_s_stepRange;
static PyObject *__pyx_n_s_stepType;
static PyObject *__pyx_n_s_stepUnits;
static PyObject *__pyx_n_s_stere;
static PyObject *__pyx_n_s_sum;
static PyObject *__pyx_n_s_tell;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_thousand;
static PyObject *__pyx_n_s_tolerate_badgrib;
static PyObject *__pyx_n_s_tolerate_badgrib_off;
static PyObject *__pyx_n_s_tolerate_badgrib_on;
static PyObject *__pyx_n_s_topLevel;
static PyObject *__pyx_n_s_tostring;
static PyObject *__pyx_n_s_traceback;
static PyObject *__pyx_n_s_truncateDegrees;
static PyObject *__pyx_n_s_typeOfEnsembleForecast;
static PyObject *__pyx_n_s_typeOfFirstFixedSurface;
static PyObject *__pyx_n_s_typeOfGrid;
static PyObject *__pyx_n_s_typeOfLevel;
static PyObject *__pyx_n_s_typeOfSecondFixedSurface;
static PyObject *__pyx_n_s_units;
static PyObject *__pyx_n_s_unitsOfFirstFixedSurface;
static PyObject *__pyx_n_s_unknown;
static PyObject *__pyx_kp_s_unknown_shape_of_the_earth_flag;
static PyObject *__pyx_kp_s_unrecognized_grib_type_d;
static PyObject *__pyx_n_s_unshape_mask;
static PyObject *__pyx_kp_s_unsupported_grid_earth_not_a_per;
static PyObject *__pyx_kp_s_unsupported_grid_s;
static PyObject *__pyx_n_s_v;
static PyObject *__pyx_n_s_validDate;
static PyObject *__pyx_n_s_valid_key;
static PyObject *__pyx_n_s_value;
static PyObject *__pyx_kp_s_value_must_be_float_int_or_strin;
static PyObject *__pyx_n_b_values;
static PyObject *__pyx_n_s_values;
static PyObject *__pyx_n_s_version;
static PyObject *__pyx_n_s_warn;
static PyObject *__pyx_n_s_warnings;
static PyObject *__pyx_kp_s_weighted_ens_mean;
static PyObject *__pyx_n_s_where;
static PyObject *__pyx_n_s_xDirectionGridLengthInMetres;
static PyObject *__pyx_n_s_xrange;
static PyObject *__pyx_n_s_yDirectionGridLengthInMetres;
static PyObject *__pyx_n_s_year;
static PyObject *__pyx_n_s_yrs;
static PyObject *__pyx_n_s_zero;
static PyObject *__pyx_n_s_zeros;
static PyObject *__pyx_lambda_funcdef_lambda(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_v, PyObject *__pyx_v_d); /* proto */
static PyObject *__pyx_pf_6pygrib__get_grib_api_version(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pygrib_2tolerate_badgrib_on(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pygrib_4tolerate_badgrib_off(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pygrib_6gaulats(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_nlats); /* proto */
static PyObject *__pyx_pf_6pygrib_8multi_support_on(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pygrib_10multi_support_off(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static int __pyx_pf_6pygrib_4open___cinit__(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_filename); /* proto */
static int __pyx_pf_6pygrib_4open_2__init__(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_filename); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_4__iter__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_6__next__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_8__getitem__(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_10__call__(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_12__enter__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_14__exit__(struct __pyx_obj_6pygrib_open *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_atype, CYTHON_UNUSED PyObject *__pyx_v_value, CYTHON_UNUSED PyObject *__pyx_v_traceback); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_16tell(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_18seek(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_msg, PyObject *__pyx_v_from_what); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_20readline(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_22read(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_msgs); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_24close(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static void __pyx_pf_6pygrib_4open_26__dealloc__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_28rewind(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_30message(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_N); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_32select(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_34_advance(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_nmsgs, PyObject *__pyx_v_return_msgs); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_4name___get__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_4open_4name_2__set__(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_4open_4name_4__del__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_13messagenumber___get__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_4open_13messagenumber_2__set__(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_4open_13messagenumber_4__del__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_8messages___get__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_4open_8messages_2__set__(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_4open_8messages_4__del__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_6closed___get__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_4open_6closed_2__set__(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_4open_6closed_4__del__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_4open_20has_multi_field_msgs___get__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_4open_20has_multi_field_msgs_2__set__(struct __pyx_obj_6pygrib_open *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_4open_20has_multi_field_msgs_4__del__(struct __pyx_obj_6pygrib_open *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_12julian_to_datetime(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_jd); /* proto */
static PyObject *__pyx_pf_6pygrib_14datetime_to_julian(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_d); /* proto */
static PyObject *__pyx_pf_6pygrib_16fromstring(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_gribstring); /* proto */
static PyObject *__pyx_pf_6pygrib_18setdates(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_6pygrib_gribmessage *__pyx_v_grb); /* proto */
static PyObject *__pyx_pf_6pygrib_20reload(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_6pygrib_gribmessage *__pyx_v_grb); /* proto */
static int __pyx_pf_6pygrib_11gribmessage___init__(CYTHON_UNUSED struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static void __pyx_pf_6pygrib_11gribmessage_2__dealloc__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_4__getattr__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_6__setattr__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_name, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_8__repr__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_10_get_key(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_key, PyObject *__pyx_v_default); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_12expand_grid(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_expand_reduced); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_14is_missing(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_16keys(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_18_read_only_keys(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_20data(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_lat1, PyObject *__pyx_v_lat2, PyObject *__pyx_v_lon1, PyObject *__pyx_v_lon2); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_22__setitem__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_key, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_24__getitem__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_26has_key(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_28valid_key(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_30tostring(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_32_unshape_mask(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_datarr); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_34_reshape_mask(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_datarr); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_36_set_projparams(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_38latlons(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_13messagenumber___get__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_13messagenumber_2__set__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_13messagenumber_4__del__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_10projparams___get__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_10projparams_2__set__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_10projparams_4__del__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_9validDate___get__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_9validDate_2__set__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_9validDate_4__del__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_8analDate___get__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_8analDate_2__set__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_8analDate_4__del__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_14expand_reduced___get__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_14expand_reduced_2__set__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_14expand_reduced_4__del__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_8_ro_keys___get__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_8_ro_keys_2__set__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_8_ro_keys_4__del__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_9_all_keys___get__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_9_all_keys_2__set__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_9_all_keys_4__del__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_11gribmessage_12fcstimeunits___get__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_12fcstimeunits_2__set__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_11gribmessage_12fcstimeunits_4__del__(struct __pyx_obj_6pygrib_gribmessage *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_5index___cinit__(struct __pyx_obj_6pygrib_index *__pyx_v_self, PyObject *__pyx_v_filename, PyObject *__pyx_v_args); /* proto */
static int __pyx_pf_6pygrib_5index_2__init__(struct __pyx_obj_6pygrib_index *__pyx_v_self, PyObject *__pyx_v_filename, PyObject *__pyx_v_args); /* proto */
static PyObject *__pyx_pf_6pygrib_5index_4__call__(struct __pyx_obj_6pygrib_index *__pyx_v_self, PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_6pygrib_5index_6select(struct __pyx_obj_6pygrib_index *__pyx_v_self, PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_6pygrib_5index_8write(struct __pyx_obj_6pygrib_index *__pyx_v_self, PyObject *__pyx_v_filename); /* proto */
static PyObject *__pyx_pf_6pygrib_5index_10close(struct __pyx_obj_6pygrib_index *__pyx_v_self); /* proto */
static void __pyx_pf_6pygrib_5index_12__dealloc__(struct __pyx_obj_6pygrib_index *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_5index_4keys___get__(struct __pyx_obj_6pygrib_index *__pyx_v_self); /* proto */
static int __pyx_pf_6pygrib_5index_4keys_2__set__(struct __pyx_obj_6pygrib_index *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygrib_5index_4keys_4__del__(struct __pyx_obj_6pygrib_index *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygrib_5index_5types___get__(struct __pyx_obj_6pygrib_index *__pyx_v_self); /* proto */
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  if (unlikely(__pyx_pw_6pygrib_4open_1__cinit__(o, a, k) < 0)) {
    Py_DECREF(o); o = 0;
  }
  return o;
}

static void __pyx_tp_dealloc_6pygrib_open(PyObject *o) {
  struct __pyx_obj_6pygrib_open *p = (struct __pyx_obj_6pygrib_open *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_pw_6pygrib_4open_27__dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->name);
  Py_CLEAR(p->messagenumber);
  Py_CLEAR(p->messages);
  Py_CLEAR(p->closed);
  Py_CLEAR(p->has_multi_field_msgs);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_6pygrib_open(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pygrib_open *p = (struct __pyx_obj_6pygrib_open *)o;
  if (p->name) {
    e = (*v)(p->name, a); if (e) return e;
  }
  if (p->messagenumber) {
    e = (*v)(p->messagenumber, a); if (e) return e;
  }
  if (p->messages) {
    e = (*v)(p->messages, a); if (e) return e;
  }
  if (p->closed) {
    e = (*v)(p->closed, a); if (e) return e;
  }
  if (p->has_multi_field_msgs) {
    e = (*v)(p->has_multi_field_msgs, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pygrib_open(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6pygrib_open *p = (struct __pyx_obj_6pygrib_open *)o;
  tmp = ((PyObject*)p->name);
  p->name = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->messagenumber);
  p->messagenumber = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->messages);
  p->messages = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->closed);
  p->closed = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->has_multi_field_msgs);
  p->has_multi_field_msgs = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
static PyObject *__pyx_sq_item_6pygrib_open(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

static PyObject *__pyx_getprop_6pygrib_4open_name(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_4open_4name_1__get__(o);
}

static int __pyx_setprop_6pygrib_4open_name(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_4open_4name_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_4open_4name_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_4open_messagenumber(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_4open_13messagenumber_1__get__(o);
}

static int __pyx_setprop_6pygrib_4open_messagenumber(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_4open_13messagenumber_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_4open_13messagenumber_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_4open_messages(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_4open_8messages_1__get__(o);
}

static int __pyx_setprop_6pygrib_4open_messages(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_4open_8messages_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_4open_8messages_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_4open_closed(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_4open_6closed_1__get__(o);
}

static int __pyx_setprop_6pygrib_4open_closed(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_4open_6closed_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_4open_6closed_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_4open_has_multi_field_msgs(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_4open_20has_multi_field_msgs_1__get__(o);
}

static int __pyx_setprop_6pygrib_4open_has_multi_field_msgs(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_4open_20has_multi_field_msgs_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_4open_20has_multi_field_msgs_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_6pygrib_open[] = {
  {"__next__", (PyCFunction)__pyx_pw_6pygrib_4open_7__next__, METH_NOARGS|METH_COEXIST, 0},
  {"__enter__", (PyCFunction)__pyx_pw_6pygrib_4open_13__enter__, METH_NOARGS, 0},
  {"__exit__", (PyCFunction)__pyx_pw_6pygrib_4open_15__exit__, METH_VARARGS|METH_KEYWORDS, 0},
  {"tell", (PyCFunction)__pyx_pw_6pygrib_4open_17tell, METH_NOARGS, __pyx_doc_6pygrib_4open_16tell},
  {"seek", (PyCFunction)__pyx_pw_6pygrib_4open_19seek, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pygrib_4open_18seek},
  {"readline", (PyCFunction)__pyx_pw_6pygrib_4open_21readline, METH_NOARGS, __pyx_doc_6pygrib_4open_20readline},
  {"read", (PyCFunction)__pyx_pw_6pygrib_4open_23read, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pygrib_4open_22read},
  {"close", (PyCFunction)__pyx_pw_6pygrib_4open_25close, METH_NOARGS, __pyx_doc_6pygrib_4open_24close},
  {"rewind", (PyCFunction)__pyx_pw_6pygrib_4open_29rewind, METH_NOARGS, __pyx_doc_6pygrib_4open_28rewind},
  {"message", (PyCFunction)__pyx_pw_6pygrib_4open_31message, METH_O, __pyx_doc_6pygrib_4open_30message},
  {"select", (PyCFunction)__pyx_pw_6pygrib_4open_33select, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pygrib_4open_32select},
  {"_advance", (PyCFunction)__pyx_pw_6pygrib_4open_35_advance, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pygrib_4open_34_advance},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pygrib_open[] = {
  {(char *)"name", __pyx_getprop_6pygrib_4open_name, __pyx_setprop_6pygrib_4open_name, 0, 0},
  {(char *)"messagenumber", __pyx_getprop_6pygrib_4open_messagenumber, __pyx_setprop_6pygrib_4open_messagenumber, 0, 0},
  {(char *)"messages", __pyx_getprop_6pygrib_4open_messages, __pyx_setprop_6pygrib_4open_messages, 0, 0},
  {(char *)"closed", __pyx_getprop_6pygrib_4open_closed, __pyx_setprop_6pygrib_4open_closed, 0, 0},
  {(char *)"has_multi_field_msgs", __pyx_getprop_6pygrib_4open_has_multi_field_msgs, __pyx_setprop_6pygrib_4open_has_multi_field_msgs, 0, 0},
  {0, 0, 0, 0, 0}
};

static PySequenceMethods __pyx_tp_as_sequence_open = {
  0, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_6pygrib_open, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_open = {
  0, /*mp_length*/
  __pyx_pw_6pygrib_4open_9__getitem__, /*mp_subscript*/
  0, /*mp_ass_subscript*/
};

static PyTypeObject __pyx_type_6pygrib_open = {
  PyVarObject_HEAD_INIT(0, 0)
  "pygrib.open", /*tp_name*/
  sizeof(struct __pyx_obj_6pygrib_open), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pygrib_open, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_open, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_open, /*tp_as_mapping*/
  0, /*tp_hash*/
  __pyx_pw_6pygrib_4open_11__call__, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  " \n    open(filename)\n    \n    returns GRIB file iterator object given GRIB filename. When iterated, returns\n    instances of the L{gribmessage} class. Behaves much like a python file\n    object, with L{seek}, L{tell}, L{read} and L{close} methods, \n    except that offsets are measured in grib messages instead of bytes.\n    Additional methods include L{rewind} (like C{seek(0)}), L{message}\n    (like C{seek(N-1)}; followed by C{readline()}), and L{select} (filters\n    messages based on specified conditions).  The C{__call__} method forwards\n    to L{select}, and instances can be sliced with C{__getitem__} (returning\n    lists of L{gribmessage} instances).  The position of the iterator is not\n    altered by slicing with C{__getitem__}.\n     \n    @ivar messages: The total number of grib messages in the file.\n\n    @ivar messagenumber: The grib message number that the iterator currently\n    points to (the value returned by L{tell}).\n\n    @ivar name: The GRIB file which the instance represents.", /*tp_doc*/
  __pyx_tp_traverse_6pygrib_open, /*tp_traverse*/
  __pyx_tp_clear_6pygrib_open, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  __pyx_pw_6pygrib_4open_5__iter__, /*tp_iter*/
  __pyx_pw_6pygrib_4open_7__next__, /*tp_iternext*/
  __pyx_methods_6pygrib_open, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6pygrib_open, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_6pygrib_4open_3__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6pygrib_open, /*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*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_6pygrib_gribmessage(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_6pygrib_gribmessage *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pygrib_gribmessage *)o);
  p->messagenumber = Py_None; Py_INCREF(Py_None);
  p->projparams = Py_None; Py_INCREF(Py_None);
  p->validDate = Py_None; Py_INCREF(Py_None);
  p->analDate = Py_None; Py_INCREF(Py_None);
  p->expand_reduced = Py_None; Py_INCREF(Py_None);
  p->_ro_keys = Py_None; Py_INCREF(Py_None);
  p->_all_keys = Py_None; Py_INCREF(Py_None);
  p->fcstimeunits = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6pygrib_gribmessage(PyObject *o) {
  struct __pyx_obj_6pygrib_gribmessage *p = (struct __pyx_obj_6pygrib_gribmessage *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_pw_6pygrib_11gribmessage_3__dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->messagenumber);
  Py_CLEAR(p->projparams);
  Py_CLEAR(p->validDate);
  Py_CLEAR(p->analDate);
  Py_CLEAR(p->expand_reduced);
  Py_CLEAR(p->_ro_keys);
  Py_CLEAR(p->_all_keys);
  Py_CLEAR(p->fcstimeunits);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_6pygrib_gribmessage(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pygrib_gribmessage *p = (struct __pyx_obj_6pygrib_gribmessage *)o;
  if (p->messagenumber) {
    e = (*v)(p->messagenumber, a); if (e) return e;
  }
  if (p->projparams) {
    e = (*v)(p->projparams, a); if (e) return e;
  }
  if (p->validDate) {
    e = (*v)(p->validDate, a); if (e) return e;
  }
  if (p->analDate) {
    e = (*v)(p->analDate, a); if (e) return e;
  }
  if (p->expand_reduced) {
    e = (*v)(p->expand_reduced, a); if (e) return e;
  }
  if (p->_ro_keys) {
    e = (*v)(p->_ro_keys, a); if (e) return e;
  }
  if (p->_all_keys) {
    e = (*v)(p->_all_keys, a); if (e) return e;
  }
  if (p->fcstimeunits) {
    e = (*v)(p->fcstimeunits, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pygrib_gribmessage(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6pygrib_gribmessage *p = (struct __pyx_obj_6pygrib_gribmessage *)o;
  tmp = ((PyObject*)p->messagenumber);
  p->messagenumber = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->projparams);
  p->projparams = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->validDate);
  p->validDate = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->analDate);
  p->analDate = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->expand_reduced);
  p->expand_reduced = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_ro_keys);
  p->_ro_keys = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_all_keys);
  p->_all_keys = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->fcstimeunits);
  p->fcstimeunits = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
static PyObject *__pyx_sq_item_6pygrib_gribmessage(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

static int __pyx_mp_ass_subscript_6pygrib_gribmessage(PyObject *o, PyObject *i, PyObject *v) {
  if (v) {
    return __pyx_pw_6pygrib_11gribmessage_23__setitem__(o, i, v);
  }
  else {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
    return -1;
  }
}

static PyObject *__pyx_tp_getattro_6pygrib_gribmessage(PyObject *o, PyObject *n) {
  PyObject *v = PyObject_GenericGetAttr(o, n);
  if (!v && PyErr_ExceptionMatches(PyExc_AttributeError)) {
    PyErr_Clear();
    v = __pyx_pw_6pygrib_11gribmessage_5__getattr__(o, n);
  }
  return v;
}

static int __pyx_tp_setattro_6pygrib_gribmessage(PyObject *o, PyObject *n, PyObject *v) {
  if (v) {
    return __pyx_pw_6pygrib_11gribmessage_7__setattr__(o, n, v);
  }
  else {
    return PyObject_GenericSetAttr(o, n, 0);
  }
}

static PyObject *__pyx_getprop_6pygrib_11gribmessage_messagenumber(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_11gribmessage_13messagenumber_1__get__(o);
}

static int __pyx_setprop_6pygrib_11gribmessage_messagenumber(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_11gribmessage_13messagenumber_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_11gribmessage_13messagenumber_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_11gribmessage_projparams(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_11gribmessage_10projparams_1__get__(o);
}

static int __pyx_setprop_6pygrib_11gribmessage_projparams(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_11gribmessage_10projparams_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_11gribmessage_10projparams_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_11gribmessage_validDate(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_11gribmessage_9validDate_1__get__(o);
}

static int __pyx_setprop_6pygrib_11gribmessage_validDate(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_11gribmessage_9validDate_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_11gribmessage_9validDate_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_11gribmessage_analDate(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_11gribmessage_8analDate_1__get__(o);
}

static int __pyx_setprop_6pygrib_11gribmessage_analDate(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_11gribmessage_8analDate_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_11gribmessage_8analDate_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_11gribmessage_expand_reduced(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_11gribmessage_14expand_reduced_1__get__(o);
}

static int __pyx_setprop_6pygrib_11gribmessage_expand_reduced(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_11gribmessage_14expand_reduced_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_11gribmessage_14expand_reduced_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_11gribmessage__ro_keys(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_11gribmessage_8_ro_keys_1__get__(o);
}

static int __pyx_setprop_6pygrib_11gribmessage__ro_keys(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_11gribmessage_8_ro_keys_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_11gribmessage_8_ro_keys_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_11gribmessage__all_keys(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_11gribmessage_9_all_keys_1__get__(o);
}

static int __pyx_setprop_6pygrib_11gribmessage__all_keys(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_11gribmessage_9_all_keys_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_11gribmessage_9_all_keys_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_11gribmessage_fcstimeunits(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_11gribmessage_12fcstimeunits_1__get__(o);
}

static int __pyx_setprop_6pygrib_11gribmessage_fcstimeunits(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_11gribmessage_12fcstimeunits_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_11gribmessage_12fcstimeunits_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_6pygrib_gribmessage[] = {
  {"__getattr__", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_5__getattr__, METH_O|METH_COEXIST, 0},
  {"_get_key", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_11_get_key, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pygrib_11gribmessage_10_get_key},
  {"expand_grid", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_13expand_grid, METH_O, __pyx_doc_6pygrib_11gribmessage_12expand_grid},
  {"is_missing", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_15is_missing, METH_O, __pyx_doc_6pygrib_11gribmessage_14is_missing},
  {"keys", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_17keys, METH_NOARGS, __pyx_doc_6pygrib_11gribmessage_16keys},
  {"_read_only_keys", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_19_read_only_keys, METH_NOARGS, __pyx_doc_6pygrib_11gribmessage_18_read_only_keys},
  {"data", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_21data, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pygrib_11gribmessage_20data},
  {"has_key", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_27has_key, METH_O, __pyx_doc_6pygrib_11gribmessage_26has_key},
  {"valid_key", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_29valid_key, METH_O, __pyx_doc_6pygrib_11gribmessage_28valid_key},
  {"tostring", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_31tostring, METH_NOARGS, __pyx_doc_6pygrib_11gribmessage_30tostring},
  {"_unshape_mask", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_33_unshape_mask, METH_O, __pyx_doc_6pygrib_11gribmessage_32_unshape_mask},
  {"_reshape_mask", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_35_reshape_mask, METH_O, __pyx_doc_6pygrib_11gribmessage_34_reshape_mask},
  {"_set_projparams", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_37_set_projparams, METH_NOARGS, __pyx_doc_6pygrib_11gribmessage_36_set_projparams},
  {"latlons", (PyCFunction)__pyx_pw_6pygrib_11gribmessage_39latlons, METH_NOARGS, __pyx_doc_6pygrib_11gribmessage_38latlons},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pygrib_gribmessage[] = {
  {(char *)"messagenumber", __pyx_getprop_6pygrib_11gribmessage_messagenumber, __pyx_setprop_6pygrib_11gribmessage_messagenumber, 0, 0},
  {(char *)"projparams", __pyx_getprop_6pygrib_11gribmessage_projparams, __pyx_setprop_6pygrib_11gribmessage_projparams, 0, 0},
  {(char *)"validDate", __pyx_getprop_6pygrib_11gribmessage_validDate, __pyx_setprop_6pygrib_11gribmessage_validDate, 0, 0},
  {(char *)"analDate", __pyx_getprop_6pygrib_11gribmessage_analDate, __pyx_setprop_6pygrib_11gribmessage_analDate, 0, 0},
  {(char *)"expand_reduced", __pyx_getprop_6pygrib_11gribmessage_expand_reduced, __pyx_setprop_6pygrib_11gribmessage_expand_reduced, 0, 0},
  {(char *)"_ro_keys", __pyx_getprop_6pygrib_11gribmessage__ro_keys, __pyx_setprop_6pygrib_11gribmessage__ro_keys, 0, 0},
  {(char *)"_all_keys", __pyx_getprop_6pygrib_11gribmessage__all_keys, __pyx_setprop_6pygrib_11gribmessage__all_keys, 0, 0},
  {(char *)"fcstimeunits", __pyx_getprop_6pygrib_11gribmessage_fcstimeunits, __pyx_setprop_6pygrib_11gribmessage_fcstimeunits, 0, 0},
  {0, 0, 0, 0, 0}
};

static PySequenceMethods __pyx_tp_as_sequence_gribmessage = {
  0, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_6pygrib_gribmessage, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_gribmessage = {
  0, /*mp_length*/
  __pyx_pw_6pygrib_11gribmessage_25__getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_6pygrib_gribmessage, /*mp_ass_subscript*/
};

static PyTypeObject __pyx_type_6pygrib_gribmessage = {
  PyVarObject_HEAD_INIT(0, 0)
  "pygrib.gribmessage", /*tp_name*/
  sizeof(struct __pyx_obj_6pygrib_gribmessage), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pygrib_gribmessage, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_pw_6pygrib_11gribmessage_9__repr__, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_gribmessage, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_gribmessage, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  __pyx_tp_getattro_6pygrib_gribmessage, /*tp_getattro*/
  __pyx_tp_setattro_6pygrib_gribmessage, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    Grib message object.\n\n    Each grib message has attributes corresponding to grib message\n    keys for \n    U{GRIB1 <http://www.ecmwf.int/publications/manuals/d/gribapi/fm92/grib1>}\n    and\n    U{GRIB2 <http://www.ecmwf.int/publications/manuals/d/gribapi/fm92/grib2/>}.\n    Parameter names are\n    are given by the C{name}, C{shortName} and C{paramID}\n    U{keys <http://www.ecmwf.int/publications/manuals/d/gribapi/param/>}.\n    pygrib also defines some special attributes which are defined below\n    under the heading B{Instance Variables}.\n\n    @ivar messagenumber: The grib message number in the file.\n\n    @ivar projparams: A dictionary containing proj4 key/value pairs describing \n    the grid.  Set to C{None} for unsupported grid types.\n\n    @ivar expand_reduced:  If True (default), reduced lat/lon and gaussian grids\n    will be expanded to regular grids when data is accessed via \"values\" key. If\n    False, data is kept on unstructured reduced grid, and is returned in a 1-d\n    array.\n\n    @ivar fcstimeunits:  A string representing the forecast time units\n    (an empty string if not defined).\n\n    @ivar analDate:  A python datetime instance describing the analysis date\n    and time for the forecast. Only set if forecastTime and julianDay keys\n    exist.\n\n    @ivar validDate:  A python datetime instance describing the valid date\n    and time for the forecast. Only set if forecastTime and julianDay keys\n    exist, and fcstimeunits is defined. If forecast time\n    is a range, then C{validDate} corresponds to the end of the range.", /*tp_doc*/
  __pyx_tp_traverse_6pygrib_gribmessage, /*tp_traverse*/
  __pyx_tp_clear_6pygrib_gribmessage, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pygrib_gribmessage, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6pygrib_gribmessage, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_6pygrib_11gribmessage_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6pygrib_gribmessage, /*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*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_6pygrib_index(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pygrib_index *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pygrib_index *)o);
  p->keys = Py_None; Py_INCREF(Py_None);
  p->types = Py_None; Py_INCREF(Py_None);
  p->name = Py_None; Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_6pygrib_5index_1__cinit__(o, a, k) < 0)) {
    Py_DECREF(o); o = 0;
  }
  return o;
}

static void __pyx_tp_dealloc_6pygrib_index(PyObject *o) {
  struct __pyx_obj_6pygrib_index *p = (struct __pyx_obj_6pygrib_index *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_pw_6pygrib_5index_13__dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->keys);
  Py_CLEAR(p->types);
  Py_CLEAR(p->name);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_6pygrib_index(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pygrib_index *p = (struct __pyx_obj_6pygrib_index *)o;
  if (p->keys) {
    e = (*v)(p->keys, a); if (e) return e;
  }
  if (p->types) {
    e = (*v)(p->types, a); if (e) return e;
  }
  if (p->name) {
    e = (*v)(p->name, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pygrib_index(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6pygrib_index *p = (struct __pyx_obj_6pygrib_index *)o;
  tmp = ((PyObject*)p->keys);
  p->keys = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->types);
  p->types = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->name);
  p->name = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pygrib_5index_keys(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_5index_4keys_1__get__(o);
}

static int __pyx_setprop_6pygrib_5index_keys(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_5index_4keys_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_5index_4keys_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_5index_types(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_5index_5types_1__get__(o);
}

static int __pyx_setprop_6pygrib_5index_types(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_5index_5types_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_5index_5types_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygrib_5index_name(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygrib_5index_4name_1__get__(o);
}

static int __pyx_setprop_6pygrib_5index_name(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygrib_5index_4name_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygrib_5index_4name_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_6pygrib_index[] = {
  {"select", (PyCFunction)__pyx_pw_6pygrib_5index_7select, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pygrib_5index_6select},
  {"write", (PyCFunction)__pyx_pw_6pygrib_5index_9write, METH_O, __pyx_doc_6pygrib_5index_8write},
  {"close", (PyCFunction)__pyx_pw_6pygrib_5index_11close, METH_NOARGS, __pyx_doc_6pygrib_5index_10close},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pygrib_index[] = {
  {(char *)"keys", __pyx_getprop_6pygrib_5index_keys, __pyx_setprop_6pygrib_5index_keys, 0, 0},
  {(char *)"types", __pyx_getprop_6pygrib_5index_types, __pyx_setprop_6pygrib_5index_types, 0, 0},
  {(char *)"name", __pyx_getprop_6pygrib_5index_name, __pyx_setprop_6pygrib_5index_name, 0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6pygrib_index = {
  PyVarObject_HEAD_INIT(0, 0)
  "pygrib.index", /*tp_name*/
  sizeof(struct __pyx_obj_6pygrib_index), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pygrib_index, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  __pyx_pw_6pygrib_5index_5__call__, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  " \nindex(filename, *args)\n    \nreturns grib index object given GRIB filename indexed by keys given in\n*args.  The L{select} or L{__call__} method can then be used to selected grib messages\nbased on specified values of indexed keys.\nUnlike L{open.select}, containers or callables cannot be used to \nselect multiple key values.\nHowever, using L{index.select} is much faster than L{open.select}.\n\nB{Warning}:  Searching for data within multi-field grib messages does not\nwork using an index (and is not supported by the \nU{GRIB API<https://software.ecmwf.int/wiki/display/GRIB/Home>} library).  NCEP\noften puts u and v winds together in a single multi-field grib message.  You\nwill get incorrect results if you try to use an index to find data in these\nmessages.  Use the slower, but more robust L{open.select} in this case.\n\nIf no key are given (i.e. *args is empty), it is assumed the filename represents a previously\nsaved index (created using the C{grib_index_build} tool or L{index.write}) instead of a GRIB file.\n\nExample usage:\n\n>>> import pygrib\n>>> grbindx=pygrib.index('sampledata/gfs.grb','shortName','typeOfLevel','level')\n>>> grbindx.keys\n['shortName', 'level']\n>>> selected_grbs=grbindx.select(shortName='gh',typeOfLevel='isobaricInhPa',level=500)\n>>> for grb in selected_grbs:\n>>>     grb\n1:Geopotential height:gpm (instant):regular_ll:isobaricInhPa:level 500 Pa:fcst time 72 hrs:from 200412091200:lo res cntl fcst\n>>> # __call__ method does same thing as select\n>>> selected_grbs=grbindx(shortName='u',typeOfLevel='isobaricInhPa',level=250)\n>>> for grb in selected_grbs:\n>>>     grb\n1:u-component of wind:m s**-1 (instant):regular_ll:isobaricInhPa:level 250 Pa:fcst time 72 hrs:from 200412091200:lo res cntl fcst\n>>> grbindx.write('gfs.grb.idx') # save index to a file\n>>> grbindx.close()\n>>> grbindx = pygrib.index('gfs.grb.idx') # re-open index (no keys specified)\n>>> grbindx.keys # not set when opening a saved index file.\nNone\n>>> for grb in selected_grbs:\n>>>     grb\n1:u-component of wind:m s**-1 (instant):regular_ll:isobaricInhPa:level 250 Pa:fcst time 72 hrs:from 200412091200:lo res cntl fcst\n\n@ivar keys: list of strings containing keys used in the index.  Set to C{None}\nwhen opening a previously saved grib index file.\n\n@ivar types: if keys are typed, this list contains the type declarations\n(C{l}, C{s} or C{d}). Type declarations are specified by appending to the key\nname (i.e. C{level:l} will search for values of C{level} that are longs). Set\nto C{None} when opening a previously saved grib index file.\n", /*tp_doc*/
  __pyx_tp_traverse_6pygrib_index, /*tp_traverse*/
  __pyx_tp_clear_6pygrib_index, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pygrib_index, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6pygrib_index, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_6pygrib_5index_3__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6pygrib_index, /*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*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyMethodDef __pyx_methods[] = {
  {0, 0, 0, 0}
};

#if PY_MAJOR_VERSION >= 3
static struct PyModuleDef __pyx_moduledef = {
  #if PY_VERSION_HEX < 0x03020000
    { PyObject_HEAD_INIT(NULL) NULL, 0, NULL },
  #else
    PyModuleDef_HEAD_INIT,
  #endif
    "pygrib",
    __pyx_k_Introduction_Python_module_for, /* m_doc */
    -1, /* m_size */
    __pyx_methods /* m_methods */,
    NULL, /* m_reload */
    NULL, /* m_traverse */
    NULL, /* m_clear */
    NULL /* m_free */
};
#endif

static __Pyx_StringTabEntry __pyx_string_tab[] = {
  {&__pyx_kp_s_04i, __pyx_k_04i, sizeof(__pyx_k_04i), 0, 0, 1, 0},
  {&__pyx_kp_s_12_hr_periods, __pyx_k_12_hr_periods, sizeof(__pyx_k_12_hr_periods), 0, 0, 1, 0},
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  {&__pyx_n_s_C, __pyx_k_C, sizeof(__pyx_k_C), 0, 0, 1, 1},
  {&__pyx_n_s_Dx, __pyx_k_Dx, sizeof(__pyx_k_Dx), 0, 0, 1, 1},
  {&__pyx_n_s_DxInMetres, __pyx_k_DxInMetres, sizeof(__pyx_k_DxInMetres), 0, 0, 1, 1},
  {&__pyx_n_s_Dy, __pyx_k_Dy, sizeof(__pyx_k_Dy), 0, 0, 1, 1},
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  {&__pyx_n_s_Grib2Decode, __pyx_k_Grib2Decode, sizeof(__pyx_k_Grib2Decode), 0, 0, 1, 1},
  {&__pyx_n_s_IOError, __pyx_k_IOError, sizeof(__pyx_k_IOError), 0, 0, 1, 1},
  {&__pyx_n_s_ImportError, __pyx_k_ImportError, sizeof(__pyx_k_ImportError), 0, 0, 1, 1},
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 *             if self.valid_key('typeOfFirstFixedSurface') and self['typeOfFirstFixedSurface'] != 255:             # <<<<<<<<<<<<<<
 *                 toplev = self['topLevel']
 *                 if self.valid_key('scaledValueOfFirstFixedSurface') and\
 */
  __pyx_tuple__31 = PyTuple_Pack(1, __pyx_n_s_typeOfFirstFixedSurface); if (unlikely(!__pyx_tuple__31)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 882; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__31);
  __Pyx_GIVEREF(__pyx_tuple__31);

  /* "pygrib.pyx":884
 *             if self.valid_key('typeOfFirstFixedSurface') and self['typeOfFirstFixedSurface'] != 255:
 *                 toplev = self['topLevel']
 *                 if self.valid_key('scaledValueOfFirstFixedSurface') and\             # <<<<<<<<<<<<<<
 *                    self.valid_key('scaleFactorOfFirstFixedSurface'):
 *                    if self['scaleFactorOfFirstFixedSurface']:
 */
  __pyx_tuple__32 = PyTuple_Pack(1, __pyx_n_s_scaledValueOfFirstFixedSurface); if (unlikely(!__pyx_tuple__32)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 884; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__32);
  __Pyx_GIVEREF(__pyx_tuple__32);

  /* "pygrib.pyx":885
 *                 toplev = self['topLevel']
 *                 if self.valid_key('scaledValueOfFirstFixedSurface') and\
 *                    self.valid_key('scaleFactorOfFirstFixedSurface'):             # <<<<<<<<<<<<<<
 *                    if self['scaleFactorOfFirstFixedSurface']:
 *                        toplev = self['scaledValueOfFirstFixedSurface']/\
 */
  __pyx_tuple__33 = PyTuple_Pack(1, __pyx_n_s_scaleFactorOfFirstFixedSurface); if (unlikely(!__pyx_tuple__33)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 885; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__33);
  __Pyx_GIVEREF(__pyx_tuple__33);

  /* "pygrib.pyx":891
 *                    else:
 *                        toplev = self['scaledValueOfFirstFixedSurface']
 *             if self.valid_key('typeOfSecondFixedSurface') and self['typeOfSecondFixedSurface'] != 255:             # <<<<<<<<<<<<<<
 *                 botlev = self['bottomLevel']
 *                 if self.valid_key('scaledValueOfSecondFixedSurface') and\
 */
  __pyx_tuple__34 = PyTuple_Pack(1, __pyx_n_s_typeOfSecondFixedSurface); if (unlikely(!__pyx_tuple__34)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 891; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__34);
  __Pyx_GIVEREF(__pyx_tuple__34);

  /* "pygrib.pyx":893
 *             if self.valid_key('typeOfSecondFixedSurface') and self['typeOfSecondFixedSurface'] != 255:
 *                 botlev = self['bottomLevel']
 *                 if self.valid_key('scaledValueOfSecondFixedSurface') and\             # <<<<<<<<<<<<<<
 *                    self.valid_key('scaleFactorOfSecondFixedSurface'):
 *                    if self['scaleFactorOfSecondFixedSurface']:
 */
  __pyx_tuple__35 = PyTuple_Pack(1, __pyx_n_s_scaledValueOfSecondFixedSurface); if (unlikely(!__pyx_tuple__35)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 893; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__35);
  __Pyx_GIVEREF(__pyx_tuple__35);

  /* "pygrib.pyx":894
 *                 botlev = self['bottomLevel']
 *                 if self.valid_key('scaledValueOfSecondFixedSurface') and\
 *                    self.valid_key('scaleFactorOfSecondFixedSurface'):             # <<<<<<<<<<<<<<
 *                    if self['scaleFactorOfSecondFixedSurface']:
 *                        botlev = self['scaledValueOfSecondFixedSurface']/\
 */
  __pyx_tuple__36 = PyTuple_Pack(1, __pyx_n_s_scaleFactorOfSecondFixedSurface); if (unlikely(!__pyx_tuple__36)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 894; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__36);
  __Pyx_GIVEREF(__pyx_tuple__36);

  /* "pygrib.pyx":909
 *             if levstring is not None:
 *                 inventory.append(levstring)
 *         elif self.valid_key('level'):             # <<<<<<<<<<<<<<
 *             inventory.append(':level %s' % self['level'])
 *         if self.has_key('stepRange'):
 */
  __pyx_tuple__37 = PyTuple_Pack(1, __pyx_n_s_level); if (unlikely(!__pyx_tuple__37)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 909; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__37);
  __Pyx_GIVEREF(__pyx_tuple__37);

  /* "pygrib.pyx":911
 *         elif self.valid_key('level'):
 *             inventory.append(':level %s' % self['level'])
 *         if self.has_key('stepRange'):             # <<<<<<<<<<<<<<
 *             ftime = self['stepRange'] # computed key, uses stepUnits
 *             if self.valid_key('stepType') and self['stepType'] != 'instant':
 */
  __pyx_tuple__38 = PyTuple_Pack(1, __pyx_n_s_stepRange); if (unlikely(!__pyx_tuple__38)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 911; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__38);
  __Pyx_GIVEREF(__pyx_tuple__38);

  /* "pygrib.pyx":913
 *         if self.has_key('stepRange'):
 *             ftime = self['stepRange'] # computed key, uses stepUnits
 *             if self.valid_key('stepType') and self['stepType'] != 'instant':             # <<<<<<<<<<<<<<
 *                 inventory.append(':fcst time %s %s (%s)'%\
 *                     (ftime,self.fcstimeunits,self.stepType))
 */
  __pyx_tuple__39 = PyTuple_Pack(1, __pyx_n_s_stepType); if (unlikely(!__pyx_tuple__39)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 913; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__39);
  __Pyx_GIVEREF(__pyx_tuple__39);

  /* "pygrib.pyx":918
 *             else:
 *                 inventory.append(':fcst time %s %s'% (ftime,self.fcstimeunits))
 *         elif self.valid_key('forecastTime'):             # <<<<<<<<<<<<<<
 *             ftime = repr(self['forecastTime'])
 *             inventory.append(':fcst time %s %s'% (ftime,self.fcstimeunits))
 */
  __pyx_tuple__40 = PyTuple_Pack(1, __pyx_n_s_forecastTime); if (unlikely(!__pyx_tuple__40)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 918; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__40);
  __Pyx_GIVEREF(__pyx_tuple__40);

  /* "pygrib.pyx":921
 *             ftime = repr(self['forecastTime'])
 *             inventory.append(':fcst time %s %s'% (ftime,self.fcstimeunits))
 *         if self.valid_key('dataDate') and self.valid_key('dataTime'):             # <<<<<<<<<<<<<<
 *             inventory.append(
 *             ':from '+repr(self['dataDate'])+'%04i' % self['dataTime'])
 */
  __pyx_tuple__41 = PyTuple_Pack(1, __pyx_n_s_dataDate); if (unlikely(!__pyx_tuple__41)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 921; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__41);
  __Pyx_GIVEREF(__pyx_tuple__41);
  __pyx_tuple__42 = PyTuple_Pack(1, __pyx_n_s_dataTime); if (unlikely(!__pyx_tuple__42)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 921; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__42);
  __Pyx_GIVEREF(__pyx_tuple__42);

  /* "pygrib.pyx":927
 *         #    inventory.append(
 *         #    ':valid '+repr(self['validityDate'])+repr(self['validityTime']))
 *         if self.valid_key('perturbationNumber') and\             # <<<<<<<<<<<<<<
 *            self.valid_key('typeOfEnsembleForecast'):
 *             ens_type = self['typeOfEnsembleForecast']
 */
  __pyx_tuple__43 = PyTuple_Pack(1, __pyx_n_s_perturbationNumber); if (unlikely(!__pyx_tuple__43)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 927; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__43);
  __Pyx_GIVEREF(__pyx_tuple__43);

  /* "pygrib.pyx":928
 *         #    ':valid '+repr(self['validityDate'])+repr(self['validityTime']))
 *         if self.valid_key('perturbationNumber') and\
 *            self.valid_key('typeOfEnsembleForecast'):             # <<<<<<<<<<<<<<
 *             ens_type = self['typeOfEnsembleForecast']
 *             pert_num = self['perturbationNumber']
 */
  __pyx_tuple__44 = PyTuple_Pack(1, __pyx_n_s_typeOfEnsembleForecast); if (unlikely(!__pyx_tuple__44)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 928; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__44);
  __Pyx_GIVEREF(__pyx_tuple__44);

  /* "pygrib.pyx":939
 *             elif ens_type == 3:
 *                inventory.append(":pos ens pert %d" % pert_num)
 *         if self.valid_key('derivedForecast'):             # <<<<<<<<<<<<<<
 *             if self['derivedForecast'] == 0:
 *                 inventory.append(":ens mean")
 */
  __pyx_tuple__45 = PyTuple_Pack(1, __pyx_n_s_derivedForecast); if (unlikely(!__pyx_tuple__45)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 939; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__45);
  __Pyx_GIVEREF(__pyx_tuple__45);

  /* "pygrib.pyx":954
 *             elif self['derivedForecast'] == 6:
 *                 inventory.append(":ens mean of cluster")
 *         if self.valid_key('probabilityTypeName'):             # <<<<<<<<<<<<<<
 *             inventory.append(":"+self['probabilityTypeName'])
 *             lowerlim = None
 */
  __pyx_tuple__46 = PyTuple_Pack(1, __pyx_n_s_probabilityTypeName); if (unlikely(!__pyx_tuple__46)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 954; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__46);
  __Pyx_GIVEREF(__pyx_tuple__46);

  /* "pygrib.pyx":957
 *             inventory.append(":"+self['probabilityTypeName'])
 *             lowerlim = None
 *             if self.valid_key('scaledValueOfLowerLimit') and\             # <<<<<<<<<<<<<<
 *                self.valid_key('scaleFactorOfLowerLimit'):
 *                if self['scaledValueOfLowerLimit'] and\
 */
  __pyx_tuple__47 = PyTuple_Pack(1, __pyx_n_s_scaledValueOfLowerLimit); if (unlikely(!__pyx_tuple__47)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 957; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__47);
  __Pyx_GIVEREF(__pyx_tuple__47);

  /* "pygrib.pyx":958
 *             lowerlim = None
 *             if self.valid_key('scaledValueOfLowerLimit') and\
 *                self.valid_key('scaleFactorOfLowerLimit'):             # <<<<<<<<<<<<<<
 *                if self['scaledValueOfLowerLimit'] and\
 *                   self['scaleFactorOfLowerLimit']:
 */
  __pyx_tuple__48 = PyTuple_Pack(1, __pyx_n_s_scaleFactorOfLowerLimit); if (unlikely(!__pyx_tuple__48)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 958; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__48);
  __Pyx_GIVEREF(__pyx_tuple__48);

  /* "pygrib.pyx":964
 *                               np.power(10.0,self['scaleFactorOfLowerLimit'])
 *             upperlim = None
 *             if self.valid_key('scaledValueOfUpperLimit') and\             # <<<<<<<<<<<<<<
 *                self.valid_key('scaleFactorOfUpperLimit'):
 *                if self['scaledValueOfUpperLimit'] and\
 */
  __pyx_tuple__49 = PyTuple_Pack(1, __pyx_n_s_scaledValueOfUpperLimit); if (unlikely(!__pyx_tuple__49)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 964; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__49);
  __Pyx_GIVEREF(__pyx_tuple__49);

  /* "pygrib.pyx":965
 *             upperlim = None
 *             if self.valid_key('scaledValueOfUpperLimit') and\
 *                self.valid_key('scaleFactorOfUpperLimit'):             # <<<<<<<<<<<<<<
 *                if self['scaledValueOfUpperLimit'] and\
 *                   self['scaleFactorOfUpperLimit']:
 */
  __pyx_tuple__50 = PyTuple_Pack(1, __pyx_n_s_scaleFactorOfUpperLimit); if (unlikely(!__pyx_tuple__50)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 965; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__50);
  __Pyx_GIVEREF(__pyx_tuple__50);

  /* "pygrib.pyx":1098
 *             reduced_expand = self['gridType'] in ['reduced_ll','reduced_gg'] and self.expand_reduced
 *             if self['gridType'] in ['regular_gg','regular_ll'] or reduced_expand:
 *                 nlats = masklat[:,0].sum()             # <<<<<<<<<<<<<<
 *                 nlons = masklon[0,:].sum()
 *                 if ma.isMA(datsubset):
 */
  __pyx_slice__51 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__51)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1098; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__51);
  __Pyx_GIVEREF(__pyx_slice__51);
  __pyx_tuple__52 = PyTuple_Pack(2, __pyx_slice__51, __pyx_int_0); if (unlikely(!__pyx_tuple__52)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1098; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__52);
  __Pyx_GIVEREF(__pyx_tuple__52);

  /* "pygrib.pyx":1099
 *             if self['gridType'] in ['regular_gg','regular_ll'] or reduced_expand:
 *                 nlats = masklat[:,0].sum()
 *                 nlons = masklon[0,:].sum()             # <<<<<<<<<<<<<<
 *                 if ma.isMA(datsubset):
 *                     datsubset = ma.reshape(datsubset,(nlats,nlons))
 */
  __pyx_slice__53 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__53)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1099; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__53);
  __Pyx_GIVEREF(__pyx_slice__53);
  __pyx_tuple__54 = PyTuple_Pack(2, __pyx_int_0, __pyx_slice__53); if (unlikely(!__pyx_tuple__54)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1099; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__54);
  __Pyx_GIVEREF(__pyx_tuple__54);

  /* "pygrib.pyx":1196
 *         bytestr = _strencode(key)
 *         name = bytestr
 *         usenceplib = key == 'values' and self.packingType.startswith('grid_complex')             # <<<<<<<<<<<<<<
 *         # this workaround only needed for grib_api < 1.9.16.
 *         if usenceplib:
 */
  __pyx_tuple__55 = PyTuple_Pack(1, __pyx_n_s_grid_complex); if (unlikely(!__pyx_tuple__55)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1196; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__55);
  __Pyx_GIVEREF(__pyx_tuple__55);

  /* "pygrib.pyx":1226
 *                 return longval
 *             else: # array
 *                 if self.has_key('jPointsAreConsecutive') and\             # <<<<<<<<<<<<<<
 *                    self['jPointsAreConsecutive']:
 *                     storageorder='F'
 */
  __pyx_tuple__56 = PyTuple_Pack(1, __pyx_n_s_jPointsAreConsecutive); if (unlikely(!__pyx_tuple__56)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1226; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__56);
  __Pyx_GIVEREF(__pyx_tuple__56);

  /* "pygrib.pyx":1246
 *                 return doubleval
 *             else: # array
 *                 if self.has_key('jPointsAreConsecutive') and\             # <<<<<<<<<<<<<<
 *                    self['jPointsAreConsecutive']:
 *                     storageorder='F'
 */
  __pyx_tuple__57 = PyTuple_Pack(1, __pyx_n_s_jPointsAreConsecutive); if (unlikely(!__pyx_tuple__57)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1246; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__57);
  __Pyx_GIVEREF(__pyx_tuple__57);

  /* "pygrib.pyx":1317
 *         bytestr = b'values'
 *         name = bytestr
 *         usenceplib = self.packingType.startswith('grid_complex')             # <<<<<<<<<<<<<<
 *         # this workaround only needed for grib_api < 1.9.16.
 *         if usenceplib:
 */
  __pyx_tuple__58 = PyTuple_Pack(1, __pyx_n_s_grid_complex); if (unlikely(!__pyx_tuple__58)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1317; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__58);
  __Pyx_GIVEREF(__pyx_tuple__58);

  /* "pygrib.pyx":1333
 *         """private method for reshaping and removing mask from "values" array"""
 *         if datarr.ndim > 2:
 *             raise ValueError('array must be 1d or 2d')             # <<<<<<<<<<<<<<
 *         # if array is masked, put in masked values and convert to plain numpy array.
 *         if ma.isMA(datarr):
 */
  __pyx_tuple__59 = PyTuple_Pack(1, __pyx_kp_s_array_must_be_1d_or_2d); if (unlikely(!__pyx_tuple__59)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1333; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__59);
  __Pyx_GIVEREF(__pyx_tuple__59);

  /* "pygrib.pyx":1338
 *             datarr = datarr.filled()
 *         # raise error is expanded reduced grid array is supplied.
 *         if self['gridType'].startswith('reduced'):             # <<<<<<<<<<<<<<
 *             if datarr.ndim != 1:
 *                 raise ValueError("reduced grid data array must be 1d")
 */
  __pyx_tuple__60 = PyTuple_Pack(1, __pyx_n_s_reduced); if (unlikely(!__pyx_tuple__60)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1338; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__60);
  __Pyx_GIVEREF(__pyx_tuple__60);

  /* "pygrib.pyx":1340
 *         if self['gridType'].startswith('reduced'):
 *             if datarr.ndim != 1:
 *                 raise ValueError("reduced grid data array must be 1d")             # <<<<<<<<<<<<<<
 *         if datarr.ndim == 2:
 *             # check scan modes for rect grids.
 */
  __pyx_tuple__61 = PyTuple_Pack(1, __pyx_kp_s_reduced_grid_data_array_must_be); if (unlikely(!__pyx_tuple__61)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1340; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__61);
  __Pyx_GIVEREF(__pyx_tuple__61);

  /* "pygrib.pyx":1355
 *             if self['alternativeRowScanning']:
 *                 datsave = datarr.copy()
 *                 datarr[1::2,::-1] = datsave[1::2,:]             # <<<<<<<<<<<<<<
 *         return datarr
 *     def _reshape_mask(self, datarr):
 */
  __pyx_slice__62 = PySlice_New(__pyx_int_1, Py_None, __pyx_int_2); if (unlikely(!__pyx_slice__62)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1355; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__62);
  __Pyx_GIVEREF(__pyx_slice__62);
  __pyx_slice__63 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__63)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1355; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__63);
  __Pyx_GIVEREF(__pyx_slice__63);
  __pyx_tuple__64 = PyTuple_Pack(2, __pyx_slice__62, __pyx_slice__63); if (unlikely(!__pyx_tuple__64)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1355; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__64);
  __Pyx_GIVEREF(__pyx_tuple__64);
  __pyx_slice__65 = PySlice_New(__pyx_int_1, Py_None, __pyx_int_2); if (unlikely(!__pyx_slice__65)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1355; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__65);
  __Pyx_GIVEREF(__pyx_slice__65);
  __pyx_slice__66 = PySlice_New(Py_None, Py_None, __pyx_int_neg_1); if (unlikely(!__pyx_slice__66)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1355; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__66);
  __Pyx_GIVEREF(__pyx_slice__66);
  __pyx_tuple__67 = PyTuple_Pack(2, __pyx_slice__65, __pyx_slice__66); if (unlikely(!__pyx_tuple__67)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1355; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__67);
  __Pyx_GIVEREF(__pyx_tuple__67);

  /* "pygrib.pyx":1362
 *         from redtoreg import _redtoreg
 *         if datarr.ndim > 2:
 *             raise ValueError('array must be 1d or 2d')             # <<<<<<<<<<<<<<
 *         # reduced grid.
 *         if self['gridType'].startswith('reduced'):
 */
  __pyx_tuple__68 = PyTuple_Pack(1, __pyx_kp_s_array_must_be_1d_or_2d); if (unlikely(!__pyx_tuple__68)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1362; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__68);
  __Pyx_GIVEREF(__pyx_tuple__68);

  /* "pygrib.pyx":1364
 *             raise ValueError('array must be 1d or 2d')
 *         # reduced grid.
 *         if self['gridType'].startswith('reduced'):             # <<<<<<<<<<<<<<
 *             try:
 *                 ny = self['Ny']
 */
  __pyx_tuple__69 = PyTuple_Pack(1, __pyx_n_s_reduced); if (unlikely(!__pyx_tuple__69)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1364; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__69);
  __Pyx_GIVEREF(__pyx_tuple__69);

  /* "pygrib.pyx":1369
 *             except:
 *                 ny = self['Nj']
 *             if self.has_key('missingValue'):             # <<<<<<<<<<<<<<
 *                 missval = self['missingValue']
 *             else:
 */
  __pyx_tuple__70 = PyTuple_Pack(1, __pyx_n_s_missingValue); if (unlikely(!__pyx_tuple__70)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1369; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__70);
  __Pyx_GIVEREF(__pyx_tuple__70);

  /* "pygrib.pyx":1378
 *             else:
 *                 nx = None
 *         elif self.has_key('Nx') and self.has_key('Ny'):             # <<<<<<<<<<<<<<
 *             nx = self['Nx']
 *             ny = self['Ny']
 */
  __pyx_tuple__71 = PyTuple_Pack(1, __pyx_n_s_Nx); if (unlikely(!__pyx_tuple__71)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1378; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__71);
  __Pyx_GIVEREF(__pyx_tuple__71);
  __pyx_tuple__72 = PyTuple_Pack(1, __pyx_n_s_Ny); if (unlikely(!__pyx_tuple__72)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1378; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__72);
  __Pyx_GIVEREF(__pyx_tuple__72);

  /* "pygrib.pyx":1382
 *             ny = self['Ny']
 *         # key renamed from Ni to Nx in grib_api 1.8.0.1
 *         elif self.has_key('Ni') and self.has_key('Nj'):             # <<<<<<<<<<<<<<
 *             nx = self['Ni']
 *             ny = self['Nj']
 */
  __pyx_tuple__73 = PyTuple_Pack(1, __pyx_n_s_Ni); if (unlikely(!__pyx_tuple__73)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1382; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__73);
  __Pyx_GIVEREF(__pyx_tuple__73);
  __pyx_tuple__74 = PyTuple_Pack(1, __pyx_n_s_Nj); if (unlikely(!__pyx_tuple__74)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1382; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__74);
  __Pyx_GIVEREF(__pyx_tuple__74);

  /* "pygrib.pyx":1404
 *            if self['alternativeRowScanning']:
 *                datsave = datarr.copy()
 *                datarr[1::2,:] = datsave[1::2,::-1]             # <<<<<<<<<<<<<<
 *            # if there is a missingValue, and some values missing,
 *            # create a masked array.
 */
  __pyx_slice__75 = PySlice_New(__pyx_int_1, Py_None, __pyx_int_2); if (unlikely(!__pyx_slice__75)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1404; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__75);
  __Pyx_GIVEREF(__pyx_slice__75);
  __pyx_slice__76 = PySlice_New(Py_None, Py_None, __pyx_int_neg_1); if (unlikely(!__pyx_slice__76)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1404; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__76);
  __Pyx_GIVEREF(__pyx_slice__76);
  __pyx_tuple__77 = PyTuple_Pack(2, __pyx_slice__75, __pyx_slice__76); if (unlikely(!__pyx_tuple__77)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1404; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__77);
  __Pyx_GIVEREF(__pyx_tuple__77);
  __pyx_slice__78 = PySlice_New(__pyx_int_1, Py_None, __pyx_int_2); if (unlikely(!__pyx_slice__78)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1404; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__78);
  __Pyx_GIVEREF(__pyx_slice__78);
  __pyx_slice__79 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__79)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1404; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__79);
  __Pyx_GIVEREF(__pyx_slice__79);
  __pyx_tuple__80 = PyTuple_Pack(2, __pyx_slice__78, __pyx_slice__79); if (unlikely(!__pyx_tuple__80)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1404; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__80);
  __Pyx_GIVEREF(__pyx_tuple__80);

  /* "pygrib.pyx":1407
 *            # if there is a missingValue, and some values missing,
 *            # create a masked array.
 *            if self.has_key('missingValue') and self['numberOfMissing']:             # <<<<<<<<<<<<<<
 *                datarr = ma.masked_values(datarr, self['missingValue'])
 *         return datarr
 */
  __pyx_tuple__81 = PyTuple_Pack(1, __pyx_n_s_missingValue); if (unlikely(!__pyx_tuple__81)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1407; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__81);
  __Pyx_GIVEREF(__pyx_tuple__81);

  /* "pygrib.pyx":1420
 *         # check for radius key, if it exists just use it
 *         # and don't bother with shapeOfTheEarth
 *         if self.has_key('radius'):             # <<<<<<<<<<<<<<
 *             projparams['a'] = self['radius']
 *             projparams['b'] = self['radius']
 */
  __pyx_tuple__82 = PyTuple_Pack(1, __pyx_n_s_radius); if (unlikely(!__pyx_tuple__82)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1420; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__82);
  __Pyx_GIVEREF(__pyx_tuple__82);

  /* "pygrib.pyx":1428
 *                 projparams['b']=6371229.0
 *             elif self['shapeOfTheEarth'] in [3,7]:
 *                 if self.has_key('scaleFactorOfMajorAxisOfOblateSpheroidEarth'):             # <<<<<<<<<<<<<<
 *                     scalea = self['scaleFactorOfMajorAxisOfOblateSpheroidEarth']
 *                     scaleb = self['scaleFactorOfMinorAxisOfOblateSpheroidEarth']
 */
  __pyx_tuple__83 = PyTuple_Pack(1, __pyx_n_s_scaleFactorOfMajorAxisOfOblateSp); if (unlikely(!__pyx_tuple__83)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1428; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__83);
  __Pyx_GIVEREF(__pyx_tuple__83);

  /* "pygrib.pyx":1456
 *                 projparams['b']=6356775.0
 *             elif self['shapeOfTheEarth'] == 1:
 *                 if self.has_key('scaleFactorOfRadiusOfSphericalEarth'):             # <<<<<<<<<<<<<<
 *                     scalea = self['scaleFactorOfRadiusOfSphericalEarth']
 *                     if scalea and scalea is not missingvalue_int:
 */
  __pyx_tuple__84 = PyTuple_Pack(1, __pyx_n_s_scaleFactorOfRadiusOfSphericalEa); if (unlikely(!__pyx_tuple__84)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1456; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__84);
  __Pyx_GIVEREF(__pyx_tuple__84);

  /* "pygrib.pyx":1478
 *                 projparams['b']=6371200.0
 *             else:
 *                 if not tolerate_badgrib: raise ValueError('unknown shape of the earth flag')             # <<<<<<<<<<<<<<
 * 
 *         if self['gridType'] in ['reduced_gg','reduced_ll','regular_gg','regular_ll']: # regular lat/lon grid
 */
  __pyx_tuple__85 = PyTuple_Pack(1, __pyx_kp_s_unknown_shape_of_the_earth_flag); if (unlikely(!__pyx_tuple__85)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1478; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__85);
  __Pyx_GIVEREF(__pyx_tuple__85);

  /* "pygrib.pyx":1485
 *             projparams['proj']='stere'
 *             projparams['lat_ts']=self['latitudeWhereDxAndDyAreSpecifiedInDegrees']
 *             if self.has_key('projectionCentreFlag'):             # <<<<<<<<<<<<<<
 *                 projcenterflag = self['projectionCentreFlag']
 *             elif self.has_key('projectionCenterFlag'):
 */
  __pyx_tuple__86 = PyTuple_Pack(1, __pyx_n_s_projectionCentreFlag); if (unlikely(!__pyx_tuple__86)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1485; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__86);
  __Pyx_GIVEREF(__pyx_tuple__86);

  /* "pygrib.pyx":1487
 *             if self.has_key('projectionCentreFlag'):
 *                 projcenterflag = self['projectionCentreFlag']
 *             elif self.has_key('projectionCenterFlag'):             # <<<<<<<<<<<<<<
 *                 projcenterflag = self['projectionCenterFlag']
 *             else:
 */
  __pyx_tuple__87 = PyTuple_Pack(1, __pyx_n_s_projectionCenterFlag); if (unlikely(!__pyx_tuple__87)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1487; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__87);
  __Pyx_GIVEREF(__pyx_tuple__87);

  /* "pygrib.pyx":1490
 *                 projcenterflag = self['projectionCenterFlag']
 *             else:
 *                 if not tolerate_badgrib: raise KeyError('cannot find projection center flag')             # <<<<<<<<<<<<<<
 *             if projcenterflag == 0:
 *                 projparams['lat_0']=90.
 */
  __pyx_tuple__88 = PyTuple_Pack(1, __pyx_kp_s_cannot_find_projection_center_fl); if (unlikely(!__pyx_tuple__88)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1490; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__88);
  __Pyx_GIVEREF(__pyx_tuple__88);

  /* "pygrib.pyx":1538
 *             projparams['proj'] = 'laea'
 *         elif self['gridType'] == 'mercator':
 *             scale = self._get_key('grib2divider',False)             # <<<<<<<<<<<<<<
 *             if scale:
 *                 scale = float(scale)
 */
  __pyx_tuple__89 = PyTuple_Pack(2, __pyx_n_s_grib2divider, Py_False); if (unlikely(!__pyx_tuple__89)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1538; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__89);
  __Pyx_GIVEREF(__pyx_tuple__89);

  /* "pygrib.pyx":1545
 *             lon1 = self['longitudeOfFirstGridPoint']/scale
 *             lon2 = self['longitudeOfLastGridPoint']/scale
 *             if self._get_key('truncateDegrees',False):             # <<<<<<<<<<<<<<
 *                 lon1 = int(lon1)
 *                 lon2 = int(lon2)
 */
  __pyx_tuple__90 = PyTuple_Pack(2, __pyx_n_s_truncateDegrees, Py_False); if (unlikely(!__pyx_tuple__90)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1545; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__90);
  __Pyx_GIVEREF(__pyx_tuple__90);

  /* "pygrib.pyx":1548
 *                 lon1 = int(lon1)
 *                 lon2 = int(lon2)
 *             if self._get_key('LaD',False):             # <<<<<<<<<<<<<<
 *                 projparams['lat_ts'] = self['LaD']/scale
 *             else:
 */
  __pyx_tuple__91 = PyTuple_Pack(2, __pyx_n_s_LaD, Py_False); if (unlikely(!__pyx_tuple__91)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1548; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__91);
  __Pyx_GIVEREF(__pyx_tuple__91);

  /* "pygrib.pyx":1598
 *             # (distinctLongitudes, distinctLatitudes throws error,
 *             #  so use np.linspace to define values)
 *             if self.packingType.startswith('grid_complex'):             # <<<<<<<<<<<<<<
 *                 # this is not strictly correct for gaussian grids,
 *                 # but the error is very small.
 */
  __pyx_tuple__92 = PyTuple_Pack(1, __pyx_n_s_grid_complex); if (unlikely(!__pyx_tuple__92)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1598; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__92);
  __Pyx_GIVEREF(__pyx_tuple__92);

  /* "pygrib.pyx":1605
 *             else:
 *                 lats = self['distinctLatitudes']
 *                 if lat2 < lat1 and lats[-1] > lats[0]: lats = lats[::-1]             # <<<<<<<<<<<<<<
 *                 lons = self['distinctLongitudes']
 *             # don't trust distinctLongitudes
 */
  __pyx_slice__93 = PySlice_New(Py_None, Py_None, __pyx_int_neg_1); if (unlikely(!__pyx_slice__93)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1605; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__93);
  __Pyx_GIVEREF(__pyx_slice__93);

  /* "pygrib.pyx":1618
 *                 lat2 = self['latitudeOfLastGridPointInDegrees']
 *                 lats = self['distinctLatitudes']
 *                 if lat2 < lat1 and lats[-1] > lats[0]: lats = lats[::-1]             # <<<<<<<<<<<<<<
 *                 ny = self['Nj']
 *                 nx = 2*ny
 */
  __pyx_slice__94 = PySlice_New(Py_None, Py_None, __pyx_int_neg_1); if (unlikely(!__pyx_slice__94)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1618; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__94);
  __Pyx_GIVEREF(__pyx_slice__94);

  /* "pygrib.pyx":1712
 *             if self.projparams['proj'] == 'nsper' and \
 *                self.projparams['a'] != self.projparams['b']:
 *                 raise ValueError('unsupported grid - earth not a perfect sphere')             # <<<<<<<<<<<<<<
 *             scale = float(self['grib2divider'])
 *             # latitude of horizon on central meridian
 */
  __pyx_tuple__95 = PyTuple_Pack(1, __pyx_kp_s_unsupported_grid_earth_not_a_per); if (unlikely(!__pyx_tuple__95)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1712; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__95);
  __Pyx_GIVEREF(__pyx_tuple__95);

  /* "pygrib.pyx":1774
 *             lons, lats = pj(x, y, inverse=True)
 *         elif self['gridType'] == 'mercator':
 *             scale = self._get_key('grib2divider',False)             # <<<<<<<<<<<<<<
 *             if scale:
 *                 scale = float(scale)
 */
  __pyx_tuple__96 = PyTuple_Pack(2, __pyx_n_s_grib2divider, Py_False); if (unlikely(!__pyx_tuple__96)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1774; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__96);
  __Pyx_GIVEREF(__pyx_tuple__96);

  /* "pygrib.pyx":1781
 *             lon1 = self['longitudeOfFirstGridPoint']/scale
 *             lon2 = self['longitudeOfLastGridPoint']/scale
 *             if self._get_key('truncateDegrees',False):             # <<<<<<<<<<<<<<
 *                 lon1 = int(lon1)
 *                 lon2 = int(lon2)
 */
  __pyx_tuple__97 = PyTuple_Pack(2, __pyx_n_s_truncateDegrees, Py_False); if (unlikely(!__pyx_tuple__97)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1781; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__97);
  __Pyx_GIVEREF(__pyx_tuple__97);

  /* "pygrib.pyx":1786
 *             lat1 = self['latitudeOfFirstGridPoint']/scale
 *             lat2 = self['latitudeOfLastGridPoint']/scale
 *             if self._get_key('truncateDegrees',False):             # <<<<<<<<<<<<<<
 *                 lat1 = int(lat1)
 *                 lat2 = int(lat2)
 */
  __pyx_tuple__98 = PyTuple_Pack(2, __pyx_n_s_truncateDegrees, Py_False); if (unlikely(!__pyx_tuple__98)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1786; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__98);
  __Pyx_GIVEREF(__pyx_tuple__98);

  /* "pygrib.pyx":1904
 *         if args != ():
 *             # is type is specified, strip it off.
 *             keys = [arg.split(':')[0] for arg in args]             # <<<<<<<<<<<<<<
 *             # if type is declared, save it (None if not declared)
 *             types = []
 */
  __pyx_tuple__100 = PyTuple_Pack(1, __pyx_kp_s__17); if (unlikely(!__pyx_tuple__100)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1904; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__100);
  __Pyx_GIVEREF(__pyx_tuple__100);

  /* "pygrib.pyx":1909
 *             for arg in args:
 *                 try:
 *                     type = arg.split(':')[1]             # <<<<<<<<<<<<<<
 *                 except IndexError:
 *                     type = None
 */
  __pyx_tuple__101 = PyTuple_Pack(1, __pyx_kp_s__17); if (unlikely(!__pyx_tuple__101)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1909; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__101);
  __Pyx_GIVEREF(__pyx_tuple__101);

  /* "pygrib.pyx":1955
 *         for k,v in kwargs.items():
 *             if self.keys is not None and k not in self.keys:
 *                 raise KeyError('key not part of grib index')             # <<<<<<<<<<<<<<
 *             if self.types is not None:
 *                 typ = self.types[self.keys.index(k)]
 */
  __pyx_tuple__102 = PyTuple_Pack(1, __pyx_kp_s_key_not_part_of_grib_index); if (unlikely(!__pyx_tuple__102)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1955; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__102);
  __Pyx_GIVEREF(__pyx_tuple__102);

  /* "pygrib.pyx":1986
 *                     raise RuntimeError(grib_get_error_message(err))
 *             else:
 *                 raise TypeError('value must be float, int or string')             # <<<<<<<<<<<<<<
 *         # if no matches found, raise an error.
 *         if sizetot == 0:
 */
  __pyx_tuple__103 = PyTuple_Pack(1, __pyx_kp_s_value_must_be_float_int_or_strin); if (unlikely(!__pyx_tuple__103)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1986; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__103);
  __Pyx_GIVEREF(__pyx_tuple__103);

  /* "pygrib.pyx":1989
 *         # if no matches found, raise an error.
 *         if sizetot == 0:
 *             raise ValueError('no matches found')             # <<<<<<<<<<<<<<
 *         # create a list of grib messages corresponding to selection.
 *         messagenumber = 0; grbs = []
 */
  __pyx_tuple__104 = PyTuple_Pack(1, __pyx_kp_s_no_matches_found); if (unlikely(!__pyx_tuple__104)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1989; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__104);
  __Pyx_GIVEREF(__pyx_tuple__104);

  /* "pygrib.pyx":2003
 *                 raise RuntimeError(grib_get_error_message(err))
 *         if not grbs:
 *             raise ValueError('no matches found')             # <<<<<<<<<<<<<<
 *         # return the list of grib messages.
 *         return grbs
 */
  __pyx_tuple__105 = PyTuple_Pack(1, __pyx_kp_s_no_matches_found); if (unlikely(!__pyx_tuple__105)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2003; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__105);
  __Pyx_GIVEREF(__pyx_tuple__105);

  /* "pygrib.pyx":184
 *         from mpl_toolkits.basemap import pyproj
 *     except:
 *         raise ImportError("either pyproj or basemap required")             # <<<<<<<<<<<<<<
 * from ncepgrib2 import Grib2Decode
 * import_array()
 */
  __pyx_tuple__106 = PyTuple_Pack(1, __pyx_kp_s_either_pyproj_or_basemap_require); if (unlikely(!__pyx_tuple__106)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 184; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__106);
  __Pyx_GIVEREF(__pyx_tuple__106);

  /* "pygrib.pyx":298
 * #missingvalue_float = GRIB_MISSING_DOUBLE
 * missingvalue_float = -1.e100 # value given in grib_api.h version 1.90
 * def _get_grib_api_version():             # <<<<<<<<<<<<<<
 *     div = lambda v,d: (v/d,v%d)
 *     v = grib_get_api_version()
 */
  __pyx_tuple__107 = PyTuple_Pack(5, __pyx_n_s_div, __pyx_n_s_v, __pyx_n_s_revision, __pyx_n_s_minor, __pyx_n_s_major); if (unlikely(!__pyx_tuple__107)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 298; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__107);
  __Pyx_GIVEREF(__pyx_tuple__107);
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PyMODINIT_FUNC initpygrib(void)
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PyMODINIT_FUNC PyInit_pygrib(void)
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}

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,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* fake_module;
    PyTypeObject* cached_type = NULL;
    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!fake_module) return NULL;
    Py_INCREF(fake_module);
    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
    if (cached_type) {
        if (!PyType_Check((PyObject*)cached_type)) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s is not a type object",
                type->tp_name);
            goto bad;
        }
        if (cached_type->tp_basicsize != type->tp_basicsize) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s has the wrong size, try recompiling",
                type->tp_name);
            goto bad;
        }
    } else {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
        PyErr_Clear();
        if (PyType_Ready(type) < 0) goto bad;
        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
            goto bad;
        Py_INCREF(type);
        cached_type = type;
    }
done:
    Py_DECREF(fake_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

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;
    }
    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(__pyx_CyFunctionObject *op)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
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 int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_COMPILING_IN_CPYTHON
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value || value == Py_None) {
        value = NULL;
    } else if (!PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    tmp = op->func_annotations;
    op->func_annotations = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
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, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
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[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
    if (op == NULL)
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = 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;
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = 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_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    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 (__Pyx_CyFunction_weakreflist(m) != 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_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    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 __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
    return __Pyx_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 = f->m_ml->ml_meth;
    PyObject *self = f->m_self;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    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 (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d 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 (likely(size == 1)) {
                PyObject *result, *arg0 = PySequence_ITEM(arg, 0);
                if (unlikely(!arg0)) return NULL;
                result = (*meth)(self, arg0);
                Py_DECREF(arg0);
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d 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)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_Call,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_CyFunction_descr_get,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
#if !CYTHON_COMPILING_IN_PYPY
    __pyx_CyFunctionType_type.tp_call = PyCFunction_Call;
#endif
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (__pyx_CyFunctionType == NULL) {
        return -1;
    }
    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, 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);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

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%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

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;
}

#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_RemainderObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = a % b;
            x += ((x != 0) & ((x ^ b) < 0)) * b;
            return PyInt_FromLong(x);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                default: return PyLong_Type.tp_as_number->nb_remainder(op1, op2);
            }
        }
                x = a % b;
                x += ((x != 0) & ((x ^ b) < 0)) * b;
            return PyLong_FromLong(x);
        long_long:
                llx = lla % llb;
                llx += ((llx != 0) & ((llx ^ llb) < 0)) * llb;
            return PyLong_FromLongLong(llx);
    }
    #endif
    return (inplace ? PyNumber_InPlaceRemainder : PyNumber_Remainder)(op1, op2);
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = func->ob_type->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

static CYTHON_INLINE void __Pyx_ErrRestore(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->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);
#else
    PyErr_Restore(type, value, tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    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;
#else
    PyErr_Fetch(type, value, tb);
#endif
}

#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        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;
        }
    }
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
#if PY_VERSION_HEX >= 0x03030000
    if (cause) {
#else
    if (cause && cause != Py_None) {
#endif
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = PyThreadState_GET();
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON
    result = PyDict_GetItem(__pyx_d, name);
    if (likely(result)) {
        Py_INCREF(result);
    } else {
#else
    result = PyObject_GetItem(__pyx_d, name);
    if (!result) {
        PyErr_Clear();
#endif
        result = __Pyx_GetBuiltinName(name);
    }
    return result;
}

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(PyObject_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

static CYTHON_INLINE long __Pyx_div_long(long a, long b) {
    long q = a / b;
    long r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a + b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = PyCFunction_GET_FUNCTION(func);
    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

static CYTHON_INLINE int __Pyx_CheckKeywordStrings(
    PyObject *kwdict,
    const char* function_name,
    int kw_allowed)
{
    PyObject* key = 0;
    Py_ssize_t pos = 0;
#if CYTHON_COMPILING_IN_PYPY
    if (!kw_allowed && PyDict_Next(kwdict, &pos, &key, 0))
        goto invalid_keyword;
    return 1;
#else
    while (PyDict_Next(kwdict, &pos, &key, 0)) {
        #if PY_MAJOR_VERSION < 3
        if (unlikely(!PyString_CheckExact(key)) && unlikely(!PyString_Check(key)))
        #endif
            if (unlikely(!PyUnicode_Check(key)))
                goto invalid_keyword_type;
    }
    if ((!kw_allowed) && unlikely(key))
        goto invalid_keyword;
    return 1;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    return 0;
#endif
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
    return 0;
}

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a == b) {
            Py_RETURN_TRUE;
        } else {
            Py_RETURN_FALSE;
        }
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a;
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                #if PyLong_SHIFT < 30 && PyLong_SHIFT != 15
                default: return PyLong_Type.tp_richcompare(op1, op2, Py_EQ);
                #else
                default: Py_RETURN_FALSE;
                #endif
            }
        }
            if (a == b) {
                Py_RETURN_TRUE;
            } else {
                Py_RETURN_FALSE;
            }
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            if ((double)a == (double)b) {
                Py_RETURN_TRUE;
            } else {
                Py_RETURN_FALSE;
            }
    }
    return PyObject_RichCompare(op1, op2, Py_EQ);
}
#endif

static CYTHON_INLINE PyObject *__Pyx_PyIter_Next2(PyObject* iterator, PyObject* defval) {
    PyObject* next;
    iternextfunc iternext = Py_TYPE(iterator)->tp_iternext;
#if CYTHON_COMPILING_IN_CPYTHON
    if (unlikely(!iternext)) {
#else
    if (unlikely(!iternext) || unlikely(!PyIter_Check(iterator))) {
#endif
        PyErr_Format(PyExc_TypeError,
            "%.200s object is not an iterator", Py_TYPE(iterator)->tp_name);
        return NULL;
    }
    next = iternext(iterator);
    if (likely(next))
        return next;
#if CYTHON_COMPILING_IN_CPYTHON
#if PY_VERSION_HEX >= 0x02070000
    if (unlikely(iternext == &_PyObject_NextNotImplemented))
        return NULL;
#endif
#endif
    if (defval) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
            if (unlikely(exc_type != PyExc_StopIteration) &&
                    !PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))
                return NULL;
            PyErr_Clear();
        }
        Py_INCREF(defval);
        return defval;
    }
    if (!PyErr_Occurred())
        PyErr_SetNone(PyExc_StopIteration);
    return NULL;
}

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
}

static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_COMPILING_IN_CPYTHON
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_COMPILING_IN_CPYTHON
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

static void __Pyx_RaiseArgumentTypeInvalid(const char* name, PyObject *obj, PyTypeObject *type) {
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
}
static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (none_allowed && obj == Py_None) return 1;
    else if (exact) {
        if (likely(Py_TYPE(obj) == type)) return 1;
        #if PY_MAJOR_VERSION == 2
        else if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(PyObject_TypeCheck(obj, type))) return 1;
    }
    __Pyx_RaiseArgumentTypeInvalid(name, obj, type);
    return 0;
}

static double __Pyx__PyObject_AsDouble(PyObject* obj) {
    PyObject* float_value;
#if CYTHON_COMPILING_IN_PYPY
    float_value = PyNumber_Float(obj);  if (0) goto bad;
#else
    PyNumberMethods *nb = Py_TYPE(obj)->tp_as_number;
    if (likely(nb) && likely(nb->nb_float)) {
        float_value = nb->nb_float(obj);
        if (likely(float_value) && unlikely(!PyFloat_Check(float_value))) {
            PyErr_Format(PyExc_TypeError,
                "__float__ returned non-float (type %.200s)",
                Py_TYPE(float_value)->tp_name);
            Py_DECREF(float_value);
            goto bad;
        }
    } else if (PyUnicode_CheckExact(obj) || PyBytes_CheckExact(obj)) {
#if PY_MAJOR_VERSION >= 3
        float_value = PyFloat_FromString(obj);
#else
        float_value = PyFloat_FromString(obj, 0);
#endif
    } else {
        PyObject* args = PyTuple_New(1);
        if (unlikely(!args)) goto bad;
        PyTuple_SET_ITEM(args, 0, obj);
        float_value = PyObject_Call((PyObject*)&PyFloat_Type, args, 0);
        PyTuple_SET_ITEM(args, 0, 0);
        Py_DECREF(args);
    }
#endif
    if (likely(float_value)) {
        double value = PyFloat_AS_DOUBLE(float_value);
        Py_DECREF(float_value);
        return value;
    }
bad:
    return (double)-1;
}

static CYTHON_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;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (wraparound & unlikely(i < 0)) i += PyList_GET_SIZE(o);
    if ((!boundscheck) || likely((0 <= i) & (i < PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (wraparound & unlikely(i < 0)) i += PyTuple_GET_SIZE(o);
    if ((!boundscheck) || likely((0 <= i) & (i < PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely((n >= 0) & (n < PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely((n >= 0) & (n < PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (PyErr_ExceptionMatches(PyExc_OverflowError))
                        PyErr_Clear();
                    else
                        return NULL;
                }
            }
            return m->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyFloat_DivideObjC(PyObject *op1, PyObject *op2, double floatval, CYTHON_UNUSED int inplace) {
    const double b = floatval;
    double a, result;
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) (1L<<53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) (1L<<53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) (1L<<53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
            default:
        #else
        {
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
        }
    } else {
        return (inplace ? __Pyx_PyNumber_InPlaceDivide(op1, op2) : __Pyx_PyNumber_Divide(op1, op2));
    }
        PyFPE_START_PROTECT("divide", return NULL)
        result = a / b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

#if !CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyBytes_Join(PyObject* sep, PyObject* values) {
    return PyObject_CallMethodObjArgs(sep, __pyx_n_s_join, values, NULL);
}
#endif

static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    Py_ssize_t length;
    if (unlikely((start < 0) | (stop < 0))) {
        size_t slen = strlen(cstring);
        if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {
            PyErr_SetString(PyExc_OverflowError,
                            "c-string too long to convert to Python");
            return NULL;
        }
        length = (Py_ssize_t) slen;
        if (start < 0) {
            start += length;
            if (start < 0)
                start = 0;
        }
        if (stop < 0)
            stop += length;
    }
    length = stop - start;
    if (unlikely(length <= 0))
        return PyUnicode_FromUnicode(NULL, 0);
    cstring += start;
    if (decode_func) {
        return decode_func(cstring, length, errors);
    } else {
        return PyUnicode_Decode(cstring, length, encoding, errors);
    }
}

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;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_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_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;
        }
        #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
        }
    }
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyFloat_EqObjC(PyObject *op1, PyObject *op2, double floatval, CYTHON_UNUSED int inplace) {
    const double b = floatval;
    double a;
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) (1L<<53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) (1L<<53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) (1L<<53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
            default:
        #else
        {
        #endif
            return PyFloat_Type.tp_richcompare(op2, op1, Py_EQ);
        }
    } else {
        return PyObject_RichCompare(op1, op2, Py_EQ);
    }
        if (a == b) {
            Py_RETURN_TRUE;
        } else {
            Py_RETURN_FALSE;
        }
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_AddCObj(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        const long a = intval;
        long x;
        long b = PyInt_AS_LONG(op2);
            x = (long)((unsigned long)a + b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
    if (likely(PyLong_CheckExact(op2))) {
        const long a = intval;
        long b, x;
        const PY_LONG_LONG lla = intval;
        PY_LONG_LONG llb, llx;
        const digit* digits = ((PyLongObject*)op2)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op2);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            b = likely(size) ? digits[0] : 0;
            if (size == -1) b = -b;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        b = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        llb = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        b = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        llb = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        b = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        llb = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        b = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        llb = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        b = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        llb = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        b = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        llb = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
    }
    #endif
    if (PyFloat_CheckExact(op2)) {
        const long a = intval;
        double b = PyFloat_AS_DOUBLE(op2);
            double result;
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a - b);
            if (likely((x^a) >= 0 || (x^~b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                default: return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
            }
        }
                x = a - b;
            return PyLong_FromLong(x);
        long_long:
                llx = lla - llb;
            return PyLong_FromLongLong(llx);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("subtract", return NULL)
            result = ((double)a) - (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyFloat_AddObjC(PyObject *op1, PyObject *op2, double floatval, CYTHON_UNUSED int inplace) {
    const double b = floatval;
    double a, result;
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) (1L<<53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) (1L<<53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) (1L<<53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
            default:
        #else
        {
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
        }
    } else {
        return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
    }
        PyFPE_START_PROTECT("add", return NULL)
        result = a + b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyFloat_DivideCObj(PyObject *op1, PyObject *op2, double floatval, CYTHON_UNUSED int inplace) {
    const double a = floatval;
    double b, result;
    if (likely(PyFloat_CheckExact(op2))) {
        b = PyFloat_AS_DOUBLE(op2);
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        b = (double) PyInt_AS_LONG(op2);
    } else
    #endif
    if (likely(PyLong_CheckExact(op2))) {
        #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
        const digit* digits = ((PyLongObject*)op2)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op2);
        switch (size) {
            case  0: b = 0.0; break;
            case -1: b = -(double) digits[0]; break;
            case  1: b = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    b = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (b < (double) (1L<<53))) {
                        if (size == -2)
                            b = -b;
                        break;
                    }
                }
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (b < (double) (1L<<53))) {
                        if (size == -3)
                            b = -b;
                        break;
                    }
                }
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (b < (double) (1L<<53))) {
                        if (size == -4)
                            b = -b;
                        break;
                    }
                }
            default:
        #else
        {
        #endif
            b = PyLong_AsDouble(op2);
            if (unlikely(b == -1.0 && PyErr_Occurred())) return NULL;
        }
    } else {
        return (inplace ? __Pyx_PyNumber_InPlaceDivide(op1, op2) : __Pyx_PyNumber_Divide(op1, op2));
    }
        PyFPE_START_PROTECT("divide", return NULL)
        result = a / b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {
    PyObject *method;
    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);
    if (unlikely(!method))
        return -1;
    target->method = method;
#if CYTHON_COMPILING_IN_CPYTHON
    #if PY_MAJOR_VERSION >= 3
    if (likely(PyObject_TypeCheck(method, &PyMethodDescr_Type)))
    #endif
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_O | METH_NOARGS);
    }
#endif
    return 0;
}

static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {
    PyObject *args, *result = NULL;
    if (unlikely(!cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    args = PyTuple_New(1);
    if (unlikely(!args)) goto bad;
    Py_INCREF(self);
    PyTuple_SET_ITEM(args, 0, self);
#else
    args = PyTuple_Pack(1, self);
    if (unlikely(!args)) goto bad;
#endif
    result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
    Py_DECREF(args);
bad:
    return result;
}

static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d) {
    if (PY_MAJOR_VERSION >= 3)
        return __Pyx_CallUnboundCMethod0(&__pyx_umethod_PyDict_Type_items, d);
    else
        return PyDict_Items(d);
}

static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_COMPILING_IN_CPYTHON
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

static CYTHON_INLINE int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (!j) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v, int is_list,
                                               CYTHON_NCP_UNUSED int wraparound, CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely((n >= 0) & (n < PyList_GET_SIZE(o)))) {
            PyObject* old = PyList_GET_ITEM(o, n);
            Py_INCREF(v);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 1;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_ass_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (PyErr_ExceptionMatches(PyExc_OverflowError))
                        PyErr_Clear();
                    else
                        return -1;
                }
            }
            return m->sq_ass_item(o, i, v);
        }
    }
#else
#if CYTHON_COMPILING_IN_PYPY
    if (is_list || (PySequence_Check(o) && !PyDict_Check(o))) {
#else
    if (is_list || PySequence_Check(o)) {
#endif
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
}

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 - start) / 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, (size_t)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,
        0,
        0,
        0,
        0,
        __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,
        __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;
    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_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        __pyx_d,      /*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 CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) -1, const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) -1, const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) -1, const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(long) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, -(sdigit) digits[0])
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            long val;
            PyObject *v = __Pyx_PyNumber_Int(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *x) {
    const size_t neg_one = (size_t) -1, const_zero = (size_t) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(size_t) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(size_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (size_t) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (size_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(size_t, digit, digits[0])
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 2 * PyLong_SHIFT) {
                            return (size_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 3 * PyLong_SHIFT) {
                            return (size_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 4 * PyLong_SHIFT) {
                            return (size_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (size_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(size_t) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(size_t) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (size_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(size_t, sdigit, -(sdigit) digits[0])
                case  1: __PYX_VERIFY_RETURN_INT(size_t,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(size_t) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) ((((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) ((((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_t) ((((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(size_t) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, long, PyLong_AsLong(x))
            } else if (sizeof(size_t) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            size_t val;
            PyObject *v = __Pyx_PyNumber_Int(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (size_t) -1;
        }
    } else {
        size_t val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (size_t) -1;
        val = __Pyx_PyInt_As_size_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to size_t");
    return (size_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to size_t");
    return (size_t) -1;
}

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) -1, const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, -(sdigit) digits[0])
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_Int(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

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);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}

#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,
            "%.200s.%.200s 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 (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s 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 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
        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 PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if CYTHON_COMPILING_IN_CPYTHON && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
#if PY_VERSION_HEX < 0x03030000
        char* defenc_c;
        PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
        if (!defenc) return NULL;
        defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        {
            char* end = defenc_c + PyBytes_GET_SIZE(defenc);
            char* c;
            for (c = defenc_c; c < end; c++) {
                if ((unsigned char) (*c) >= 128) {
                    PyUnicode_AsASCIIString(o);
                    return NULL;
                }
            }
        }
#endif
        *length = PyBytes_GET_SIZE(defenc);
        return defenc_c;
#else
        if (__Pyx_PyUnicode_READY(o) == -1) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        if (PyUnicode_IS_ASCII(o)) {
            *length = PyUnicode_GET_LENGTH(o);
            return PyUnicode_AsUTF8(o);
        } else {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
#else
        return PyUnicode_AsUTF8AndSize(o, length);
#endif
#endif
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
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_MAJOR_VERSION < 3
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return __Pyx_NewRef(x);
  m = Py_TYPE(x)->tp_as_number;
#if PY_MAJOR_VERSION < 3
  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_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (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;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(x);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  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) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
