From c118add06272f90814f4d2f23a01128f55cae428 Mon Sep 17 00:00:00 2001 From: Stefan van der Walt Date: Mon, 2 Nov 2009 20:53:16 +0200 Subject: [PATCH 1/2] Add shortest path algorithm. Refactor Cython build. --- .gitignore | 1 + scikits/image/_build.py | 68 + scikits/image/analysis/__init__.py | 1 + scikits/image/analysis/setup.py | 32 + scikits/image/analysis/spath.c | 5267 ++++++++++++++++++++ scikits/image/analysis/spath.pyx | 68 + scikits/image/analysis/tests/test_spath.py | 17 + scikits/image/opencv/setup.py | 63 +- 8 files changed, 5460 insertions(+), 57 deletions(-) create mode 100644 scikits/image/_build.py create mode 100644 scikits/image/analysis/__init__.py create mode 100644 scikits/image/analysis/setup.py create mode 100644 scikits/image/analysis/spath.c create mode 100644 scikits/image/analysis/spath.pyx create mode 100644 scikits/image/analysis/tests/test_spath.py diff --git a/.gitignore b/.gitignore index 2440dea8..05cdceb1 100644 --- a/.gitignore +++ b/.gitignore @@ -4,6 +4,7 @@ *egg-info *.so *.bak +*.new doc/source/api doc/build source/api diff --git a/scikits/image/_build.py b/scikits/image/_build.py new file mode 100644 index 00000000..d487a546 --- /dev/null +++ b/scikits/image/_build.py @@ -0,0 +1,68 @@ +import os +import shutil +import hashlib + +def cython(pyx_files, working_path=''): + """Use Cython to convert the given files to C. + + Parameters + ---------- + pyx_files : list of str + The input .pyx files. + + """ + try: + import Cython + except ImportError: + # If cython is not found, we do nothing -- the build will make use of + # the distributed .c files + pass + else: + for pyxfile in [os.path.join(working_path, f) for f in pyx_files]: + # make a backup of the good c files + c_file = pyxfile.rstrip('pyx') + 'c' + c_file_new = c_file + '.new' + + # run cython compiler + cmd = 'cython -o %s %s' % (c_file_new, pyxfile) + print cmd + status = os.system(cmd) + + # if the resulting file is small, cython compilation failed + size = os.path.getsize(c_file_new) + if status != 0 or (size < 100): + print "Cython compilation of %s failed. Falling back " \ + "on pre-generated file." % os.path.basename(pyxfile) + continue + + # if the generated .c file differs from the one provided, + # use that one instead + if not same_cython(c_file_new, c_file): + shutil.copy(c_file_new, c_file) + +def same_cython(f0, f1): + '''Compare two Cython generated C-files, based on their md5-sum. + + Returns True if the files are identical, False if not. The first + lines are skipped, due to the timestamp printed there. + + ''' + def md5sum(f): + m = hashlib.new('md5') + while True: + d = f.read(8096) + if not d: + break + m.update(d) + return m.hexdigest() + + if not (os.path.isfile(f0) and os.path.isfile(f1)): + return False + + f0 = file(f0) + f0.readline() + + f1 = file(f1) + f1.readline() + + return md5sum(f0) == md5sum(f1) diff --git a/scikits/image/analysis/__init__.py b/scikits/image/analysis/__init__.py new file mode 100644 index 00000000..65e7dc01 --- /dev/null +++ b/scikits/image/analysis/__init__.py @@ -0,0 +1 @@ +from spath import shortest_path diff --git a/scikits/image/analysis/setup.py b/scikits/image/analysis/setup.py new file mode 100644 index 00000000..f658720f --- /dev/null +++ b/scikits/image/analysis/setup.py @@ -0,0 +1,32 @@ +#!/usr/bin/env python + +from scikits.image._build import cython + +import os.path + +base_path = os.path.abspath(os.path.dirname(__file__)) + +def configuration(parent_package='', top_path=None): + from numpy.distutils.misc_util import Configuration, get_numpy_include_dirs + + config = Configuration('analysis', parent_package, top_path) + config.add_data_dir('tests') + + # This function tries to create C files from the given .pyx files. If + # it fails, we build the checked-in .c files. + cython(['spath.pyx'], working_path=base_path) + + config.add_extension('spath', sources=['spath.c'], + include_dirs=[get_numpy_include_dirs()]) + + return config + +if __name__ == '__main__': + from numpy.distutils.core import setup + setup(maintainer = 'scikits.image Developers', + maintainer_email = 'scikits-image@googlegroups.com', + description = 'Image Analysis Tools', + url = 'http://stefanv.github.com/scikits.image/', + license = 'Modified BSD', + **(configuration(top_path='').todict()) + ) diff --git a/scikits/image/analysis/spath.c b/scikits/image/analysis/spath.c new file mode 100644 index 00000000..f721ec84 --- /dev/null +++ b/scikits/image/analysis/spath.c @@ -0,0 +1,5267 @@ +/* Generated by Cython 0.11.3 on Mon Nov 2 20:49:40 2009 */ + +#define PY_SSIZE_T_CLEAN +#include "Python.h" +#include "structmember.h" +#ifndef Py_PYTHON_H + #error Python headers needed to compile C extensions, please install development version of Python. +#else +#ifndef PY_LONG_LONG + #define PY_LONG_LONG LONG_LONG +#endif +#ifndef DL_EXPORT + #define DL_EXPORT(t) t +#endif +#if PY_VERSION_HEX < 0x02040000 + #define METH_COEXIST 0 + #define PyDict_CheckExact(op) (Py_TYPE(op) == &PyDict_Type) + #define PyDict_Contains(d,o) PySequence_Contains(d,o) +#endif +#if PY_VERSION_HEX < 0x02050000 + typedef int Py_ssize_t; 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char *s; const long n; const char* encoding; const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /*proto*/ + + +/* Type Conversion Predeclarations */ + +#if PY_MAJOR_VERSION < 3 +#define __Pyx_PyBytes_FromString PyString_FromString +#define __Pyx_PyBytes_FromStringAndSize PyString_FromStringAndSize +#define __Pyx_PyBytes_AsString PyString_AsString +#else +#define __Pyx_PyBytes_FromString PyBytes_FromString +#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize +#define __Pyx_PyBytes_AsString PyBytes_AsString +#endif + +#define __Pyx_PyBytes_FromUString(s) __Pyx_PyBytes_FromString((char*)s) +#define __Pyx_PyBytes_AsUString(s) ((unsigned char*) __Pyx_PyBytes_AsString(s)) + +#define __Pyx_PyBool_FromLong(b) ((b) ? 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/*proto*/ + +static PyObject *__Pyx_GetName(PyObject *dict, PyObject *name); /*proto*/ + +static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb); /*proto*/ + +#if CYTHON_CCOMPLEX + #ifdef __cplusplus + #define __Pyx_CREAL(z) ((z).real()) + #define __Pyx_CIMAG(z) ((z).imag()) + #else + #define __Pyx_CREAL(z) (__real__(z)) + #define __Pyx_CIMAG(z) (__imag__(z)) + #endif +#else + #define __Pyx_CREAL(z) ((z).real) + #define __Pyx_CIMAG(z) ((z).imag) +#endif + +#if CYTHON_CCOMPLEX + #define __Pyx_c_eqf(a, b) ((a)==(b)) + #define __Pyx_c_sumf(a, b) ((a)+(b)) + #define __Pyx_c_difff(a, b) ((a)-(b)) + #define __Pyx_c_prodf(a, b) ((a)*(b)) + #define __Pyx_c_quotf(a, b) ((a)/(b)) + #define __Pyx_c_negf(a) (-(a)) + #ifdef __cplusplus + #define __Pyx_c_is_zerof(z) ((z)==0.0) + #define __Pyx_c_conjf(z) (::std::conj(z)) + /*#define __Pyx_c_absf(z) (::std::abs(z))*/ + #else + #define __Pyx_c_is_zerof(z) ((z)==0) + #define __Pyx_c_conjf(z) (conjf(z)) + /*#define __Pyx_c_absf(z) (cabsf(z))*/ + #endif +#else + static INLINE int __Pyx_c_eqf(__pyx_t_float_complex, __pyx_t_float_complex); + static INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex, __pyx_t_float_complex); + static INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex, __pyx_t_float_complex); + static INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex, __pyx_t_float_complex); + static INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex, __pyx_t_float_complex); + static INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex); + static INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex); + static INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex); + /*static INLINE float __Pyx_c_absf(__pyx_t_float_complex);*/ +#endif + +#if CYTHON_CCOMPLEX + #define __Pyx_c_eq(a, b) ((a)==(b)) + #define __Pyx_c_sum(a, b) ((a)+(b)) + #define __Pyx_c_diff(a, b) ((a)-(b)) + #define __Pyx_c_prod(a, b) ((a)*(b)) + #define __Pyx_c_quot(a, b) ((a)/(b)) + #define __Pyx_c_neg(a) (-(a)) + #ifdef __cplusplus + #define __Pyx_c_is_zero(z) ((z)==0.0) + #define __Pyx_c_conj(z) (::std::conj(z)) + /*#define __Pyx_c_abs(z) (::std::abs(z))*/ + #else + #define __Pyx_c_is_zero(z) ((z)==0) + #define __Pyx_c_conj(z) (conj(z)) + /*#define __Pyx_c_abs(z) (cabs(z))*/ + #endif +#else + static INLINE int __Pyx_c_eq(__pyx_t_double_complex, __pyx_t_double_complex); + static INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex, __pyx_t_double_complex); + static INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex, __pyx_t_double_complex); + static INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex, __pyx_t_double_complex); + static INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex, __pyx_t_double_complex); + static INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex); + static INLINE int __Pyx_c_is_zero(__pyx_t_double_complex); + static INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex); + /*static INLINE double __Pyx_c_abs(__pyx_t_double_complex);*/ +#endif + +#if CYTHON_CCOMPLEX + #define __Pyx_c_eql(a, b) ((a)==(b)) + #define __Pyx_c_suml(a, b) ((a)+(b)) + #define __Pyx_c_diffl(a, b) ((a)-(b)) + #define __Pyx_c_prodl(a, b) ((a)*(b)) + #define __Pyx_c_quotl(a, b) ((a)/(b)) + #define __Pyx_c_negl(a) (-(a)) + #ifdef __cplusplus + #define __Pyx_c_is_zerol(z) ((z)==0.0) + #define __Pyx_c_conjl(z) (::std::conj(z)) + /*#define __Pyx_c_absl(z) (::std::abs(z))*/ + #else + #define __Pyx_c_is_zerol(z) ((z)==0) + #define __Pyx_c_conjl(z) (conjl(z)) + /*#define __Pyx_c_absl(z) (cabsl(z))*/ + #endif +#else + static INLINE int __Pyx_c_eql(__pyx_t_long_double_complex, __pyx_t_long_double_complex); 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/*proto*/ + +static int __Pyx_InitStrings(__Pyx_StringTabEntry *t); /*proto*/ +/* Module declarations from python_buffer */ + +/* Module declarations from python_object */ + +/* Module declarations from stdlib */ + +/* Module declarations from stdio */ + +/* Module declarations from numpy */ + +/* Module declarations from numpy */ + +static PyTypeObject *__pyx_ptype_5numpy_dtype = 0; +static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0; +static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0; +static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0; +static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0; +static INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew1(PyObject *); /*proto*/ +static INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew2(PyObject *, PyObject *); /*proto*/ +static INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew3(PyObject *, PyObject *, PyObject *); /*proto*/ +static INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew4(PyObject *, PyObject *, PyObject *, PyObject *); /*proto*/ +static INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew5(PyObject *, PyObject *, PyObject *, PyObject *, PyObject *); /*proto*/ +static INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/ +/* Module declarations from scikits.image.analysis.spath */ + +static PyObject *__pyx_f_7scikits_5image_8analysis_5spath_shortest_path(PyArrayObject *, int __pyx_skip_dispatch); /*proto*/ +static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_double_t = { "numpy.double_t", NULL, sizeof(__pyx_t_5numpy_double_t), 'R' }; +static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int_t = { "numpy.int_t", NULL, sizeof(__pyx_t_5numpy_int_t), 'I' }; +#define __Pyx_MODULE_NAME "scikits.image.analysis.spath" +int __pyx_module_is_main_scikits__image__analysis__spath = 0; + +/* Implementation of scikits.image.analysis.spath */ +static PyObject *__pyx_builtin_ValueError; +static PyObject *__pyx_builtin_range; +static PyObject *__pyx_builtin_RuntimeError; 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+static char __pyx_k__byteorder[] = "byteorder"; +static char __pyx_k__ValueError[] = "ValueError"; +static char __pyx_k__suboffsets[] = "suboffsets"; +static char __pyx_k__RuntimeError[] = "RuntimeError"; +static char __pyx_k__shortest_path[] = "shortest_path"; +static char __pyx_k__ascontiguousarray[] = "ascontiguousarray"; +static PyObject *__pyx_kp_s_1; +static PyObject *__pyx_kp_u_10; +static PyObject *__pyx_kp_u_2; +static PyObject *__pyx_kp_u_3; +static PyObject *__pyx_kp_s_4; +static PyObject *__pyx_kp_s_5; +static PyObject *__pyx_kp_u_6; +static PyObject *__pyx_kp_u_7; +static PyObject *__pyx_kp_u_8; +static PyObject *__pyx_kp_u_9; +static PyObject *__pyx_n_s__RuntimeError; +static PyObject *__pyx_n_s__ValueError; +static PyObject *__pyx_n_s____main__; +static PyObject *__pyx_n_s____test__; +static PyObject *__pyx_n_s__argmin; +static PyObject *__pyx_n_s__ascontiguousarray; +static PyObject *__pyx_n_s__buf; +static PyObject *__pyx_n_s__byteorder; +static PyObject *__pyx_n_s__descr; +static PyObject *__pyx_n_s__double; +static PyObject *__pyx_n_s__dtype; +static PyObject *__pyx_n_s__empty; +static PyObject *__pyx_n_s__fields; +static PyObject *__pyx_n_s__format; +static PyObject *__pyx_n_s__itemsize; +static PyObject *__pyx_n_s__names; +static PyObject *__pyx_n_s__ndim; +static PyObject *__pyx_n_s__np; +static PyObject *__pyx_n_s__numpy; +static PyObject *__pyx_n_s__obj; +static PyObject *__pyx_n_s__range; +static PyObject *__pyx_n_s__readonly; +static PyObject *__pyx_n_s__shape; +static PyObject *__pyx_n_s__shortest_path; +static PyObject *__pyx_n_s__strides; +static PyObject *__pyx_n_s__suboffsets; +static PyObject *__pyx_n_s__type_num; +static PyObject *__pyx_int_0; +static PyObject *__pyx_int_neg_1; +static PyObject *__pyx_int_15; + +/* "/Users/stefan/src/scikits.image/scikits/image/analysis/spath.pyx":9 + * double fabs(double f) + * + * cpdef shortest_path(np.ndarray arr): # <<<<<<<<<<<<<< + * """Find the shortest left-to-right path through an array. + * + */ + +static PyObject *__pyx_pf_7scikits_5image_8analysis_5spath_shortest_path(PyObject *__pyx_self, PyObject *__pyx_v_arr); /*proto*/ +static PyObject *__pyx_f_7scikits_5image_8analysis_5spath_shortest_path(PyArrayObject *__pyx_v_arr, int __pyx_skip_dispatch) { + PyArrayObject *__pyx_v_data = 0; + int __pyx_v_M; + int __pyx_v_N; + PyArrayObject *__pyx_v_node = 0; + PyArrayObject *__pyx_v_cost = 0; + PyArrayObject *__pyx_v_out = 0; + int __pyx_v_c; + int __pyx_v_r; + int __pyx_v_rb; + int __pyx_v_r_min_node; + int __pyx_v_r_bracket_min; + int __pyx_v_r_bracket_max; + double __pyx_v_delta0; + double __pyx_v_delta1; + Py_buffer __pyx_bstruct_node; + Py_ssize_t __pyx_bstride_0_node = 0; + Py_ssize_t __pyx_bstride_1_node = 0; + Py_ssize_t __pyx_bshape_0_node = 0; + Py_ssize_t __pyx_bshape_1_node = 0; + Py_buffer __pyx_bstruct_cost; + Py_ssize_t __pyx_bstride_0_cost = 0; + Py_ssize_t __pyx_bstride_1_cost = 0; + Py_ssize_t __pyx_bshape_0_cost = 0; + Py_ssize_t __pyx_bshape_1_cost = 0; + Py_buffer __pyx_bstruct_data; + Py_ssize_t __pyx_bstride_0_data = 0; + Py_ssize_t __pyx_bstride_1_data = 0; + Py_ssize_t __pyx_bshape_0_data = 0; + Py_ssize_t __pyx_bshape_1_data = 0; + Py_buffer __pyx_bstruct_out; + Py_ssize_t __pyx_bstride_0_out = 0; + Py_ssize_t __pyx_bshape_0_out = 0; + PyObject *__pyx_r = NULL; + int __pyx_t_1; + PyObject *__pyx_t_2 = NULL; + PyObject *__pyx_t_3 = NULL; + PyObject *__pyx_t_4 = NULL; + PyObject *__pyx_t_5 = NULL; + PyObject *__pyx_t_6 = NULL; + PyArrayObject *__pyx_t_7 = NULL; + PyArrayObject *__pyx_t_8 = NULL; + PyArrayObject *__pyx_t_9 = NULL; + PyArrayObject *__pyx_t_10 = NULL; + int __pyx_t_11; + int __pyx_t_12; + int __pyx_t_13; + int __pyx_t_14; + int __pyx_t_15; + int __pyx_t_16; + int __pyx_t_17; + long __pyx_t_18; + int __pyx_t_19; + int __pyx_t_20; + int __pyx_t_21; + long __pyx_t_22; + int __pyx_t_23; + int __pyx_t_24; + int __pyx_t_25; + int __pyx_t_26; + int __pyx_t_27; + __pyx_t_5numpy_int_t __pyx_t_28; + long __pyx_t_29; + int __pyx_t_30; + int __pyx_t_31; + int __pyx_t_32; + __pyx_t_5numpy_int_t __pyx_t_33; + int __pyx_t_34; + int __pyx_t_35; + int __pyx_t_36; + int __pyx_t_37; + __pyx_t_5numpy_int_t __pyx_t_38; + long __pyx_t_39; + int __pyx_t_40; + int __pyx_t_41; + long __pyx_t_42; + __pyx_t_5numpy_int_t __pyx_t_43; + long __pyx_t_44; + long __pyx_t_45; + __Pyx_SetupRefcountContext("shortest_path"); + __Pyx_INCREF((PyObject *)__pyx_v_arr); + __pyx_bstruct_data.buf = NULL; + __pyx_bstruct_node.buf = NULL; + __pyx_bstruct_cost.buf = NULL; + __pyx_bstruct_out.buf = NULL; + + /* "/Users/stefan/src/scikits.image/scikits/image/analysis/spath.pyx":17 + * + * """ + * if arr.ndim != 2: # <<<<<<<<<<<<<< + * raise ValueError("Expected 2-D array as input") + * + */ + __pyx_t_1 = (__pyx_v_arr->nd != 2); + if (__pyx_t_1) { + + /* "/Users/stefan/src/scikits.image/scikits/image/analysis/spath.pyx":18 + * """ + * if arr.ndim != 2: + * raise ValueError("Expected 2-D array as input") # <<<<<<<<<<<<<< + * + * cdef np.ndarray[np.double_t, ndim=2] data = \ + */ + __pyx_t_2 = PyTuple_New(1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 18; __pyx_clineno = __LINE__; 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+ ctx->head->field = type->fields; + ctx->head->parent_offset = 0; + type = type->fields->type; + } +} + +static int __Pyx_BufFmt_ParseNumber(const char** ts) { + int count; + const char* t = *ts; + if (*t < '0' || *t > '9') { + return -1; + } else { + count = *t++ - '0'; + while (*t >= '0' && *t < '9') { + count *= 10; + count += *t++ - '0'; + } + } + *ts = t; + return count; +} + +static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) { + char msg[] = {ch, 0}; + PyErr_Format(PyExc_ValueError, "Unexpected format string character: '%s'", msg); +} + +static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) { + switch (ch) { + case 'b': return "'char'"; + case 'B': return "'unsigned char'"; + case 'h': return "'short'"; + case 'H': return "'unsigned short'"; + case 'i': return "'int'"; + case 'I': return "'unsigned int'"; + case 'l': return "'long'"; + case 'L': return "'unsigned long'"; + case 'q': return "'long long'"; + case 'Q': return "'unsigned long long'"; + case 'f': return (is_complex ? "'complex float'" : "'float'"); + case 'd': return (is_complex ? "'complex double'" : "'double'"); + case 'g': return (is_complex ? "'complex long double'" : "'long double'"); + case 'T': return "a struct"; + case 'O': return "Python object"; + case 'P': return "a pointer"; + case 0: return "end"; + default: return "unparseable format string"; + } +} + +static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) { + switch (ch) { + case '?': case 'c': case 'b': case 'B': return 1; + case 'h': case 'H': return 2; + case 'i': case 'I': case 'l': case 'L': return 4; + case 'q': case 'Q': return 8; + case 'f': return (is_complex ? 8 : 4); + case 'd': return (is_complex ? 16 : 8); + case 'g': { + PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g').."); + return 0; + } + case 'O': case 'P': return sizeof(void*); + default: + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } +} + +static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) { + switch (ch) { + case 'c': case 'b': case 'B': return 1; + case 'h': case 'H': return sizeof(short); + case 'i': case 'I': return sizeof(int); + case 'l': case 'L': return sizeof(long); + #ifdef HAVE_LONG_LONG + case 'q': case 'Q': return sizeof(PY_LONG_LONG); + #endif + case 'f': return sizeof(float) * (is_complex ? 2 : 1); + case 'd': return sizeof(double) * (is_complex ? 2 : 1); + case 'g': return sizeof(long double) * (is_complex ? 2 : 1); + case 'O': case 'P': return sizeof(void*); + default: { + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } + } +} + +typedef struct { char c; short x; } __Pyx_st_short; +typedef struct { char c; int x; } __Pyx_st_int; +typedef struct { char c; long x; } __Pyx_st_long; +typedef struct { char c; float x; } __Pyx_st_float; +typedef struct { char c; double x; } __Pyx_st_double; +typedef struct { char c; long double x; } __Pyx_st_longdouble; +typedef struct { char c; void *x; } __Pyx_st_void_p; +#ifdef HAVE_LONG_LONG +typedef struct { char c; PY_LONG_LONG x; } __Pyx_s_long_long; +#endif + +static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, int is_complex) { + switch (ch) { + case '?': case 'c': case 'b': case 'B': return 1; + case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short); + case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int); + case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long); +#ifdef HAVE_LONG_LONG + case 'q': case 'Q': return sizeof(__Pyx_s_long_long) - sizeof(PY_LONG_LONG); +#endif + case 'f': return sizeof(__Pyx_st_float) - sizeof(float); + case 'd': return sizeof(__Pyx_st_double) - sizeof(double); + case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double); + case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*); + default: + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } +} + +static size_t __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) { + switch (ch) { + case 'c': case 'b': case 'h': case 'i': case 'l': case 'q': return 'I'; + case 'B': case 'H': case 'I': case 'L': case 'Q': return 'U'; + case 'f': case 'd': case 'g': return (is_complex ? 'C' : 'R'); + case 'O': return 'O'; + case 'P': return 'P'; + default: { + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } + } +} + +static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) { + if (ctx->head == NULL || ctx->head->field == &ctx->root) { + const char* expected; + const char* quote; + if (ctx->head == NULL) { + expected = "end"; + quote = ""; + } else { + expected = ctx->head->field->type->name; + quote = "'"; + } + PyErr_Format(PyExc_ValueError, + "Buffer dtype mismatch, expected %s%s%s but got %s", + quote, expected, quote, + __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex)); + } else { + __Pyx_StructField* field = ctx->head->field; + __Pyx_StructField* parent = (ctx->head - 1)->field; + PyErr_Format(PyExc_ValueError, + "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'", + field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex), + parent->type->name, field->name); + } +} + +static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) { + char group; + size_t size, offset; + if (ctx->enc_type == 0) return 0; + group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex); + do { + __Pyx_StructField* field = ctx->head->field; + __Pyx_TypeInfo* type = field->type; + + if (ctx->packmode == '@' || ctx->packmode == '^') { + size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex); + } else { + size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex); + } + if (ctx->packmode == '@') { + int align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex); + int align_mod_offset; + if (align_at == 0) return -1; + align_mod_offset = ctx->fmt_offset % align_at; + if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset; + } + + if (type->size != size || type->typegroup != group) { + if (type->typegroup == 'C' && type->fields != NULL) { + /* special case -- treat as struct rather than complex number */ + size_t parent_offset = ctx->head->parent_offset + field->offset; + ++ctx->head; + ctx->head->field = type->fields; + ctx->head->parent_offset = parent_offset; + continue; + } + + __Pyx_BufFmt_RaiseExpected(ctx); + return -1; + } + + offset = ctx->head->parent_offset + field->offset; + if (ctx->fmt_offset != offset) { + PyErr_Format(PyExc_ValueError, + "Buffer dtype mismatch; next field is at offset %"PY_FORMAT_SIZE_T"d " + "but %"PY_FORMAT_SIZE_T"d expected", ctx->fmt_offset, offset); + return -1; + } + + ctx->fmt_offset += size; + + --ctx->enc_count; /* Consume from buffer string */ + + /* Done checking, move to next field, pushing or popping struct stack if needed */ + while (1) { + if (field == &ctx->root) { + ctx->head = NULL; + if (ctx->enc_count != 0) { + __Pyx_BufFmt_RaiseExpected(ctx); + return -1; + } + break; /* breaks both loops as ctx->enc_count == 0 */ + } + ctx->head->field = ++field; + if (field->type == NULL) { + --ctx->head; + field = ctx->head->field; + continue; + } else if (field->type->typegroup == 'S') { + size_t parent_offset = ctx->head->parent_offset + field->offset; + if (field->type->fields->type == NULL) continue; /* empty struct */ + field = field->type->fields; + ++ctx->head; + ctx->head->field = field; + ctx->head->parent_offset = parent_offset; + break; + } else { + break; + } + } + } while (ctx->enc_count); + ctx->enc_type = 0; + ctx->is_complex = 0; + return 0; +} + +static int __Pyx_BufFmt_FirstPack(__Pyx_BufFmt_Context* ctx) { + if (ctx->enc_type != 0 || ctx->packmode != '@') { + PyErr_SetString(PyExc_ValueError, "Buffer packing mode currently only allowed at beginning of format string (this is a defect)"); + return -1; + } + return 0; +} + +static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) { + int got_Z = 0; + while (1) { + switch(*ts) { + case 0: + if (ctx->enc_type != 0 && ctx->head == NULL) { + __Pyx_BufFmt_RaiseExpected(ctx); + return NULL; + } + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + if (ctx->head != NULL) { + __Pyx_BufFmt_RaiseExpected(ctx); + return NULL; + } + return ts; + case ' ': + case 10: + case 13: + ++ts; + break; + case '<': + if (!__Pyx_IsLittleEndian()) { + PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler"); + return NULL; + } + if (__Pyx_BufFmt_FirstPack(ctx) == -1) return NULL; + ctx->packmode = '='; + ++ts; + break; + case '>': + case '!': + if (__Pyx_IsLittleEndian()) { + PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler"); + return NULL; + } + if (__Pyx_BufFmt_FirstPack(ctx) == -1) return NULL; + ctx->packmode = '='; + ++ts; + break; + case '=': + case '@': + case '^': + if (__Pyx_BufFmt_FirstPack(ctx) == -1) return NULL; + ctx->packmode = *ts++; + break; + case 'T': /* substruct */ + { + int i; + const char* ts_after_sub; + int struct_count = ctx->new_count; + ctx->new_count = 1; + ++ts; + if (*ts != '{') { + PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'"); + return NULL; + } + ++ts; + ts_after_sub = ts; + for (i = 0; i != struct_count; ++i) { + ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts); + if (!ts_after_sub) return NULL; + } + ts = ts_after_sub; + } + break; + case '}': /* end of substruct; either repeat or move on */ + ++ts; + return ts; + case 'x': + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->fmt_offset += ctx->new_count; + ctx->new_count = 1; + ctx->enc_count = 0; + ctx->enc_type = 0; + ++ts; + break; + case 'Z': + got_Z = 1; + ++ts; + if (*ts != 'f' && *ts != 'd' && *ts != 'g') { + __Pyx_BufFmt_RaiseUnexpectedChar('Z'); + return NULL; + } /* fall through */ + case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I': + case 'l': case 'L': case 'q': case 'Q': + case 'f': case 'd': case 'g': + case 'O': + if (ctx->enc_type == *ts && got_Z == ctx->is_complex) { + /* Continue pooling same type */ + ctx->enc_count += ctx->new_count; + } else { + /* New type */ + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->enc_count = ctx->new_count; + ctx->enc_type = *ts; + ctx->is_complex = got_Z; + } + ++ts; + ctx->new_count = 1; + got_Z = 0; + break; + default: + { + ctx->new_count = __Pyx_BufFmt_ParseNumber(&ts); + if (ctx->new_count == -1) { /* First char was not a digit */ + char msg[2] = { *ts, 0 }; + PyErr_Format(PyExc_ValueError, + "Does not understand character buffer dtype format string ('%s')", msg); + return NULL; + } + } + + } + } +} + +static INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) { + buf->buf = NULL; + buf->obj = NULL; + buf->strides = __Pyx_zeros; + buf->shape = __Pyx_zeros; + buf->suboffsets = __Pyx_minusones; +} + +static int __Pyx_GetBufferAndValidate(Py_buffer* buf, PyObject* obj, __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack) { + if (obj == Py_None) { + __Pyx_ZeroBuffer(buf); + return 0; + } + buf->buf = NULL; + if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail; + if (buf->ndim != nd) { + PyErr_Format(PyExc_ValueError, + "Buffer has wrong number of dimensions (expected %d, got %d)", + nd, buf->ndim); + goto fail; + } + if (!cast) { + __Pyx_BufFmt_Context ctx; + __Pyx_BufFmt_Init(&ctx, stack, dtype); + if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail; + } + if ((unsigned)buf->itemsize != dtype->size) { + PyErr_Format(PyExc_ValueError, + "Item size of buffer (%"PY_FORMAT_SIZE_T"d byte%s) does not match size of '%s' (%"PY_FORMAT_SIZE_T"d byte%s)", + buf->itemsize, (buf->itemsize > 1) ? "s" : "", + dtype->name, + dtype->size, (dtype->size > 1) ? "s" : ""); + goto fail; + } + if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones; + return 0; +fail:; + __Pyx_ZeroBuffer(buf); + return -1; +} + +static INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) { + if (info->buf == NULL) return; + if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL; + __Pyx_ReleaseBuffer(info); +} +static void __Pyx_RaiseBufferIndexError(int axis) { + PyErr_Format(PyExc_IndexError, + "Out of bounds on buffer access (axis %d)", axis); +} + + +static INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) { + PyObject *tmp_type, *tmp_value, *tmp_tb; + PyThreadState *tstate = PyThreadState_GET(); + +#if PY_MAJOR_VERSION >= 3 + /* Note: this is a temporary work-around to prevent crashes in Python 3.0 */ + if ((tstate->exc_type != NULL) & (tstate->exc_type != Py_None)) { + tmp_type = tstate->exc_type; + tmp_value = tstate->exc_value; + tmp_tb = tstate->exc_traceback; + PyErr_NormalizeException(&type, &value, &tb); + PyErr_NormalizeException(&tmp_type, &tmp_value, &tmp_tb); + tstate->exc_type = 0; + tstate->exc_value = 0; + tstate->exc_traceback = 0; + PyException_SetContext(value, tmp_value); + Py_DECREF(tmp_type); + Py_XDECREF(tmp_tb); + } +#endif + + tmp_type = tstate->curexc_type; + tmp_value = tstate->curexc_value; + tmp_tb = tstate->curexc_traceback; + tstate->curexc_type = type; + tstate->curexc_value = value; + tstate->curexc_traceback = tb; + Py_XDECREF(tmp_type); + Py_XDECREF(tmp_value); + Py_XDECREF(tmp_tb); +} + +static INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) { + PyThreadState *tstate = PyThreadState_GET(); + *type = tstate->curexc_type; + *value = tstate->curexc_value; + *tb = tstate->curexc_traceback; + + tstate->curexc_type = 0; + tstate->curexc_value = 0; + tstate->curexc_traceback = 0; +} + + +static INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) { + PyErr_Format(PyExc_ValueError, + #if PY_VERSION_HEX < 0x02050000 + "need more than %d value%s to unpack", (int)index, + #else + "need more than %zd value%s to unpack", index, + #endif + (index == 1) ? "" : "s"); +} + +static INLINE void __Pyx_RaiseTooManyValuesError(void) { + PyErr_SetString(PyExc_ValueError, "too many values to unpack"); +} + +static PyObject *__Pyx_UnpackItem(PyObject *iter, Py_ssize_t index) { + PyObject *item; + if (!(item = PyIter_Next(iter))) { + if (!PyErr_Occurred()) { + __Pyx_RaiseNeedMoreValuesError(index); + } + } + return item; +} + +static int __Pyx_EndUnpack(PyObject *iter) { + PyObject *item; + if ((item = PyIter_Next(iter))) { + Py_DECREF(item); + __Pyx_RaiseTooManyValuesError(); + return -1; + } + else if (!PyErr_Occurred()) + return 0; + else + return -1; +} + +static INLINE void __Pyx_RaiseNoneNotIterableError(void) { + PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable"); +} + +static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) { + if (t == Py_None) { + __Pyx_RaiseNoneNotIterableError(); + } else if (PyTuple_GET_SIZE(t) < index) { + __Pyx_RaiseNeedMoreValuesError(PyTuple_GET_SIZE(t)); + } else { + __Pyx_RaiseTooManyValuesError(); + } +} + +static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed, + const char *name, int exact) +{ + if (!type) { + PyErr_Format(PyExc_SystemError, "Missing type object"); + return 0; + } + if (none_allowed && obj == Py_None) return 1; + else if (exact) { + if (Py_TYPE(obj) == type) return 1; + } + else { + if (PyObject_TypeCheck(obj, type)) return 1; + } + PyErr_Format(PyExc_TypeError, + "Argument '%s' has incorrect type (expected %s, got %s)", + name, type->tp_name, Py_TYPE(obj)->tp_name); + return 0; +} + +#if PY_MAJOR_VERSION < 3 +static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) { + #if PY_VERSION_HEX >= 0x02060000 + if (Py_TYPE(obj)->tp_flags & Py_TPFLAGS_HAVE_NEWBUFFER) + return PyObject_GetBuffer(obj, view, flags); + #endif + if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pf_5numpy_7ndarray___getbuffer__(obj, view, flags); + else { + PyErr_Format(PyExc_TypeError, "'%100s' does not have the buffer interface", Py_TYPE(obj)->tp_name); + return -1; + } +} + +static void __Pyx_ReleaseBuffer(Py_buffer *view) { + PyObject* obj = view->obj; + if (obj) { +if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pf_5numpy_7ndarray___releasebuffer__(obj, view); + Py_DECREF(obj); + view->obj = NULL; + } +} + +#endif + +static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list) { + PyObject *__import__ = 0; + PyObject *empty_list = 0; + PyObject *module = 0; + PyObject *global_dict = 0; + PyObject *empty_dict = 0; + PyObject *list; + __import__ = __Pyx_GetAttrString(__pyx_b, "__import__"); + if (!__import__) + goto bad; + if (from_list) + list = from_list; + else { + empty_list = PyList_New(0); + if (!empty_list) + goto bad; + list = empty_list; + } + global_dict = PyModule_GetDict(__pyx_m); + if (!global_dict) + goto bad; + empty_dict = PyDict_New(); + if (!empty_dict) + goto bad; + module = PyObject_CallFunctionObjArgs(__import__, + name, global_dict, empty_dict, list, NULL); +bad: + Py_XDECREF(empty_list); + Py_XDECREF(__import__); + Py_XDECREF(empty_dict); + return module; +} + +static PyObject *__Pyx_GetName(PyObject *dict, PyObject *name) { + PyObject *result; + result = PyObject_GetAttr(dict, name); + if (!result) + PyErr_SetObject(PyExc_NameError, name); + return result; +} + +static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb) { + Py_XINCREF(type); + Py_XINCREF(value); + Py_XINCREF(tb); + /* First, check the traceback argument, replacing None with NULL. */ + if (tb == Py_None) { + Py_DECREF(tb); + tb = 0; + } + else if (tb != NULL && !PyTraceBack_Check(tb)) { + PyErr_SetString(PyExc_TypeError, + "raise: arg 3 must be a traceback or None"); + goto raise_error; + } + /* Next, replace a missing value with None */ + if (value == NULL) { + value = Py_None; + Py_INCREF(value); + } + #if PY_VERSION_HEX < 0x02050000 + if (!PyClass_Check(type)) + #else + if (!PyType_Check(type)) + #endif + { + /* Raising an instance. The value should be a dummy. */ + if (value != Py_None) { + PyErr_SetString(PyExc_TypeError, + "instance exception may not have a separate value"); + goto raise_error; + } + /* Normalize to raise , */ + Py_DECREF(value); + value = type; + #if PY_VERSION_HEX < 0x02050000 + if (PyInstance_Check(type)) { + type = (PyObject*) ((PyInstanceObject*)type)->in_class; + Py_INCREF(type); + } + else { + type = 0; + PyErr_SetString(PyExc_TypeError, + "raise: exception must be an old-style class or instance"); + goto raise_error; + } + #else + type = (PyObject*) Py_TYPE(type); + Py_INCREF(type); + if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) { + PyErr_SetString(PyExc_TypeError, + "raise: exception class must be a subclass of BaseException"); + goto raise_error; + } + #endif + } + __Pyx_ErrRestore(type, value, tb); + return; +raise_error: + Py_XDECREF(value); + Py_XDECREF(type); + Py_XDECREF(tb); + return; +} + +#if CYTHON_CCOMPLEX + #ifdef __cplusplus + static INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { + return ::std::complex< float >(x, y); + } + #else + static INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { + return x + y*(__pyx_t_float_complex)_Complex_I; + } + #endif +#else + static INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { + __pyx_t_float_complex z; + z.real = x; + z.imag = y; + return z; + } +#endif + +#if CYTHON_CCOMPLEX +#else + static INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) { + return (a.real == b.real) && (a.imag == b.imag); + } + static INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + z.real = a.real + b.real; + z.imag = a.imag + b.imag; + return z; + } + static INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + z.real = a.real - b.real; + z.imag = a.imag - b.imag; + return z; + } + static INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + z.real = a.real * b.real - a.imag * b.imag; + z.imag = a.real * b.imag + a.imag * b.real; + return z; + } + static INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + float denom = b.real * b.real + b.imag * b.imag; + z.real = (a.real * b.real + a.imag * b.imag) / denom; + z.imag = (a.imag * b.real - a.real * b.imag) / denom; + return z; + } + static INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) { + __pyx_t_float_complex z; + z.real = -a.real; + z.imag = -a.imag; + return z; + } + static INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) { + return (a.real == 0) && (a.imag == 0); + } + static INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) { + __pyx_t_float_complex z; + z.real = a.real; + z.imag = -a.imag; + return z; + } +/* + static INLINE float __Pyx_c_absf(__pyx_t_float_complex z) { +#if HAVE_HYPOT + return hypotf(z.real, z.imag); +#else + return sqrtf(z.real*z.real + z.imag*z.imag); +#endif + } +*/ +#endif + +#if CYTHON_CCOMPLEX + #ifdef __cplusplus + static INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { + return ::std::complex< double >(x, y); + } + #else + static INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { + return x + y*(__pyx_t_double_complex)_Complex_I; + } + #endif +#else + static INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { + __pyx_t_double_complex z; + z.real = x; + z.imag = y; + return z; + } +#endif + +#if CYTHON_CCOMPLEX +#else + static INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) { + return (a.real == b.real) && (a.imag == b.imag); + } + static INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + z.real = a.real + b.real; + z.imag = a.imag + b.imag; + return z; + } + static INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + z.real = a.real - b.real; + z.imag = a.imag - b.imag; + return z; + } + static INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + z.real = a.real * b.real - a.imag * b.imag; + z.imag = a.real * b.imag + a.imag * b.real; + return z; + } + static INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + double denom = b.real * b.real + b.imag * b.imag; + z.real = (a.real * b.real + a.imag * b.imag) / denom; + z.imag = (a.imag * b.real - a.real * b.imag) / denom; + return z; + } + static INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) { + __pyx_t_double_complex z; + z.real = -a.real; + z.imag = -a.imag; + return z; + } + static INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) { + return (a.real == 0) && (a.imag == 0); + } + static INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) { + __pyx_t_double_complex z; + z.real = a.real; + z.imag = -a.imag; + return z; + } +/* + static INLINE double __Pyx_c_abs(__pyx_t_double_complex z) { +#if HAVE_HYPOT + return hypot(z.real, z.imag); +#else + return sqrt(z.real*z.real + z.imag*z.imag); +#endif + } +*/ +#endif + +#if CYTHON_CCOMPLEX + #ifdef __cplusplus + static INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) { + return ::std::complex< long double >(x, y); + } + #else + static INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) { + return x + y*(__pyx_t_long_double_complex)_Complex_I; + } + #endif +#else + static INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) { + __pyx_t_long_double_complex z; + z.real = x; + z.imag = y; + return z; + } +#endif + +#if CYTHON_CCOMPLEX +#else + static INLINE int __Pyx_c_eql(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) { + return (a.real == b.real) && (a.imag == b.imag); + } + static INLINE __pyx_t_long_double_complex __Pyx_c_suml(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) { + __pyx_t_long_double_complex z; + z.real = a.real + b.real; + z.imag = a.imag + b.imag; + return z; + } + static INLINE __pyx_t_long_double_complex __Pyx_c_diffl(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) { + __pyx_t_long_double_complex z; + z.real = a.real - b.real; + z.imag = a.imag - b.imag; + return z; + } + static INLINE __pyx_t_long_double_complex __Pyx_c_prodl(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) { + __pyx_t_long_double_complex z; + z.real = a.real * b.real - a.imag * b.imag; + z.imag = a.real * b.imag + a.imag * b.real; + return z; + } + static INLINE __pyx_t_long_double_complex __Pyx_c_quotl(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) { + __pyx_t_long_double_complex z; + long double denom = b.real * b.real + b.imag * b.imag; + z.real = (a.real * b.real + a.imag * b.imag) / denom; + z.imag = (a.imag * b.real - a.real * b.imag) / denom; + return z; + } + static INLINE __pyx_t_long_double_complex __Pyx_c_negl(__pyx_t_long_double_complex a) { + __pyx_t_long_double_complex z; + z.real = -a.real; + z.imag = -a.imag; + return z; + } + static INLINE int __Pyx_c_is_zerol(__pyx_t_long_double_complex a) { + return (a.real == 0) && (a.imag == 0); + } + static INLINE __pyx_t_long_double_complex __Pyx_c_conjl(__pyx_t_long_double_complex a) { + __pyx_t_long_double_complex z; + z.real = a.real; + z.imag = -a.imag; + return z; + } +/* + static INLINE long double __Pyx_c_absl(__pyx_t_long_double_complex z) { +#if HAVE_HYPOT + return hypotl(z.real, z.imag); +#else + return sqrtl(z.real*z.real + z.imag*z.imag); +#endif + } +*/ +#endif + +static INLINE unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject* x) { + if (sizeof(unsigned char) < sizeof(long)) { + long val = __Pyx_PyInt_AsLong(x); + if (unlikely(val != (long)(unsigned char)val)) { + if (!unlikely(val == -1 && PyErr_Occurred())) { + PyErr_SetString(PyExc_OverflowError, + (((unsigned char)-1) > ((unsigned char)0) && unlikely(val < 0)) ? + "can't convert negative value to unsigned char" : + "value too large to convert to unsigned char"); + } + return (unsigned char)-1; + } + return (unsigned char)val; + } + return (unsigned char)__Pyx_PyInt_AsUnsignedLong(x); +} + +static INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject* x) { + if (sizeof(unsigned short) < sizeof(long)) { + long val = __Pyx_PyInt_AsLong(x); + if (unlikely(val != (long)(unsigned short)val)) { + if (!unlikely(val == -1 && PyErr_Occurred())) { + PyErr_SetString(PyExc_OverflowError, + (((unsigned short)-1) > ((unsigned short)0) && unlikely(val < 0)) ? + "can't convert negative value to unsigned short" : + "value too large to convert to unsigned short"); + } + return (unsigned short)-1; + } + return (unsigned short)val; + } + return (unsigned short)__Pyx_PyInt_AsUnsignedLong(x); +} + +static INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject* x) { + if (sizeof(unsigned int) < sizeof(long)) { + long val = __Pyx_PyInt_AsLong(x); + if (unlikely(val != (long)(unsigned int)val)) { + if (!unlikely(val == -1 && PyErr_Occurred())) { + PyErr_SetString(PyExc_OverflowError, + (((unsigned int)-1) > ((unsigned int)0) && unlikely(val < 0)) ? + "can't convert negative value to unsigned int" : + "value too large to convert to unsigned int"); + } + return (unsigned int)-1; + } + return (unsigned int)val; + } + return (unsigned int)__Pyx_PyInt_AsUnsignedLong(x); +} + +static INLINE char __Pyx_PyInt_AsChar(PyObject* x) { + if (sizeof(char) < sizeof(long)) { + long val = __Pyx_PyInt_AsLong(x); + if (unlikely(val != (long)(char)val)) { + if (!unlikely(val == -1 && PyErr_Occurred())) { + PyErr_SetString(PyExc_OverflowError, + (((char)-1) > ((char)0) && unlikely(val < 0)) ? + "can't convert negative value to char" : + "value too large to convert to char"); + } + return (char)-1; + } + return (char)val; + } + return (char)__Pyx_PyInt_AsLong(x); +} + +static INLINE short __Pyx_PyInt_AsShort(PyObject* x) { + if (sizeof(short) < sizeof(long)) { + long val = __Pyx_PyInt_AsLong(x); + if (unlikely(val != (long)(short)val)) { + if (!unlikely(val == -1 && PyErr_Occurred())) { + PyErr_SetString(PyExc_OverflowError, + (((short)-1) > ((short)0) && unlikely(val < 0)) ? + "can't convert negative value to short" : + "value too large to convert to short"); + } + return (short)-1; + } + return (short)val; + } + return (short)__Pyx_PyInt_AsLong(x); +} + +static INLINE int __Pyx_PyInt_AsInt(PyObject* x) { + if (sizeof(int) < sizeof(long)) { + long val = __Pyx_PyInt_AsLong(x); + if (unlikely(val != (long)(int)val)) { + if (!unlikely(val == -1 && PyErr_Occurred())) { + PyErr_SetString(PyExc_OverflowError, + (((int)-1) > ((int)0) && unlikely(val < 0)) ? + "can't convert negative value to int" : + "value too large to convert to int"); + } + return (int)-1; + } + return (int)val; + } + return (int)__Pyx_PyInt_AsLong(x); +} + +static INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject* x) { + if (sizeof(signed char) < sizeof(long)) { + long val = __Pyx_PyInt_AsLong(x); + if (unlikely(val != (long)(signed char)val)) { + if (!unlikely(val == -1 && PyErr_Occurred())) { + PyErr_SetString(PyExc_OverflowError, + (((signed char)-1) > ((signed char)0) && unlikely(val < 0)) ? + "can't convert negative value to signed char" : + "value too large to convert to signed char"); + } + return (signed char)-1; + } + return (signed char)val; + } + return (signed char)__Pyx_PyInt_AsSignedLong(x); +} + +static INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject* x) { + if (sizeof(signed short) < sizeof(long)) { + long val = __Pyx_PyInt_AsLong(x); + if (unlikely(val != (long)(signed short)val)) { + if (!unlikely(val == -1 && PyErr_Occurred())) { + PyErr_SetString(PyExc_OverflowError, + (((signed short)-1) > ((signed short)0) && unlikely(val < 0)) ? + "can't convert negative value to signed short" : + "value too large to convert to signed short"); + } + return (signed short)-1; + } + return (signed short)val; + } + return (signed short)__Pyx_PyInt_AsSignedLong(x); +} + +static INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject* x) { + if (sizeof(signed int) < sizeof(long)) { + long val = __Pyx_PyInt_AsLong(x); + if (unlikely(val != (long)(signed int)val)) { + if (!unlikely(val == -1 && PyErr_Occurred())) { + PyErr_SetString(PyExc_OverflowError, + (((signed int)-1) > ((signed int)0) && unlikely(val < 0)) ? + "can't convert negative value to signed int" : + "value too large to convert to signed int"); + } + return (signed int)-1; + } + return (signed int)val; + } + return (signed int)__Pyx_PyInt_AsSignedLong(x); +} + +static INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject* x) { +#if PY_VERSION_HEX < 0x03000000 + if (likely(PyInt_Check(x))) { + long val = PyInt_AS_LONG(x); + if (((unsigned long)-1) > ((unsigned long)0) && unlikely(val < 0)) { + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to unsigned long"); + return (unsigned long)-1; + } + return (unsigned long)val; + } else +#endif + if (likely(PyLong_Check(x))) { + if (((unsigned long)-1) > ((unsigned long)0) && unlikely(Py_SIZE(x) < 0)) { + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to unsigned long"); + return (unsigned long)-1; + } + return (((unsigned long)-1) < ((unsigned long)0)) ? + PyLong_AsLong(x) : + PyLong_AsUnsignedLong(x); + } else { + unsigned long val; + PyObject *tmp = __Pyx_PyNumber_Int(x); + if (!tmp) return (unsigned long)-1; + val = __Pyx_PyInt_AsUnsignedLong(tmp); + Py_DECREF(tmp); + return val; + } +} + +static INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject* x) { +#if PY_VERSION_HEX < 0x03000000 + if (likely(PyInt_Check(x))) { + long val = PyInt_AS_LONG(x); + if (((unsigned PY_LONG_LONG)-1) > ((unsigned PY_LONG_LONG)0) && unlikely(val < 0)) { + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to unsigned PY_LONG_LONG"); + return (unsigned PY_LONG_LONG)-1; + } + return (unsigned PY_LONG_LONG)val; + } else +#endif + if (likely(PyLong_Check(x))) { + if (((unsigned PY_LONG_LONG)-1) > ((unsigned PY_LONG_LONG)0) && unlikely(Py_SIZE(x) < 0)) { + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to unsigned PY_LONG_LONG"); + return (unsigned PY_LONG_LONG)-1; + } + return (((unsigned PY_LONG_LONG)-1) < ((unsigned PY_LONG_LONG)0)) ? + PyLong_AsLongLong(x) : + PyLong_AsUnsignedLongLong(x); + } else { + unsigned PY_LONG_LONG val; + PyObject *tmp = __Pyx_PyNumber_Int(x); + if (!tmp) return (unsigned PY_LONG_LONG)-1; + val = __Pyx_PyInt_AsUnsignedLongLong(tmp); + Py_DECREF(tmp); + return val; + } +} + +static INLINE long __Pyx_PyInt_AsLong(PyObject* x) { +#if PY_VERSION_HEX < 0x03000000 + if (likely(PyInt_Check(x))) { + long val = PyInt_AS_LONG(x); + if (((long)-1) > ((long)0) && unlikely(val < 0)) { + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to long"); + return (long)-1; + } + return (long)val; + } else +#endif + if (likely(PyLong_Check(x))) { + if (((long)-1) > ((long)0) && unlikely(Py_SIZE(x) < 0)) { + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to long"); + return (long)-1; + } + return (((long)-1) < ((long)0)) ? + PyLong_AsLong(x) : + PyLong_AsUnsignedLong(x); + } else { + long val; + PyObject *tmp = __Pyx_PyNumber_Int(x); + if (!tmp) return (long)-1; + val = __Pyx_PyInt_AsLong(tmp); + Py_DECREF(tmp); + return val; + } +} + +static INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject* x) { +#if PY_VERSION_HEX < 0x03000000 + if (likely(PyInt_Check(x))) { + long val = PyInt_AS_LONG(x); + if (((PY_LONG_LONG)-1) > ((PY_LONG_LONG)0) && unlikely(val < 0)) { + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to PY_LONG_LONG"); + return (PY_LONG_LONG)-1; + } + return (PY_LONG_LONG)val; + } else +#endif + if (likely(PyLong_Check(x))) { + if (((PY_LONG_LONG)-1) > ((PY_LONG_LONG)0) && unlikely(Py_SIZE(x) < 0)) { + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to PY_LONG_LONG"); + return (PY_LONG_LONG)-1; + } + return (((PY_LONG_LONG)-1) < ((PY_LONG_LONG)0)) ? + PyLong_AsLongLong(x) : + PyLong_AsUnsignedLongLong(x); + } else { + PY_LONG_LONG val; + PyObject *tmp = __Pyx_PyNumber_Int(x); + if (!tmp) return (PY_LONG_LONG)-1; + val = __Pyx_PyInt_AsLongLong(tmp); + Py_DECREF(tmp); + return val; + } +} + +static INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject* x) { +#if PY_VERSION_HEX < 0x03000000 + if (likely(PyInt_Check(x))) { + long val = PyInt_AS_LONG(x); + if (((signed long)-1) > ((signed long)0) && unlikely(val < 0)) { + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to signed long"); + return (signed long)-1; + } + return (signed long)val; + } else +#endif + if (likely(PyLong_Check(x))) { + if (((signed long)-1) > ((signed long)0) && unlikely(Py_SIZE(x) < 0)) { + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to signed long"); + return (signed long)-1; + } + return (((signed long)-1) < ((signed long)0)) ? + PyLong_AsLong(x) : + PyLong_AsUnsignedLong(x); + } else { + signed long val; + PyObject *tmp = __Pyx_PyNumber_Int(x); + if (!tmp) return (signed long)-1; + val = __Pyx_PyInt_AsSignedLong(tmp); + Py_DECREF(tmp); + return val; + } +} + +static INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject* x) { +#if PY_VERSION_HEX < 0x03000000 + if (likely(PyInt_Check(x))) { + long val = PyInt_AS_LONG(x); + if (((signed PY_LONG_LONG)-1) > ((signed PY_LONG_LONG)0) && unlikely(val < 0)) { + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to signed PY_LONG_LONG"); + return (signed PY_LONG_LONG)-1; + } + return (signed PY_LONG_LONG)val; + } else +#endif + if (likely(PyLong_Check(x))) { + if (((signed PY_LONG_LONG)-1) > ((signed PY_LONG_LONG)0) && unlikely(Py_SIZE(x) < 0)) { + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to signed PY_LONG_LONG"); + return (signed PY_LONG_LONG)-1; + } + return (((signed PY_LONG_LONG)-1) < ((signed PY_LONG_LONG)0)) ? + PyLong_AsLongLong(x) : + PyLong_AsUnsignedLongLong(x); + } else { + signed PY_LONG_LONG val; + PyObject *tmp = __Pyx_PyNumber_Int(x); + if (!tmp) return (signed PY_LONG_LONG)-1; + val = __Pyx_PyInt_AsSignedLongLong(tmp); + Py_DECREF(tmp); + return val; + } +} + +#ifndef __PYX_HAVE_RT_ImportType +#define __PYX_HAVE_RT_ImportType +static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, + long size) +{ + PyObject *py_module = 0; + PyObject *result = 0; + PyObject *py_name = 0; + + py_module = __Pyx_ImportModule(module_name); + if (!py_module) + goto bad; + #if PY_MAJOR_VERSION < 3 + py_name = PyString_FromString(class_name); + #else + py_name = PyUnicode_FromString(class_name); + #endif + if (!py_name) + goto bad; + result = PyObject_GetAttr(py_module, py_name); + Py_DECREF(py_name); + py_name = 0; + Py_DECREF(py_module); + py_module = 0; + if (!result) + goto bad; + if (!PyType_Check(result)) { + PyErr_Format(PyExc_TypeError, + "%s.%s is not a type object", + module_name, class_name); + goto bad; + } + if (((PyTypeObject *)result)->tp_basicsize != size) { + PyErr_Format(PyExc_ValueError, + "%s.%s does not appear to be the correct type object", + module_name, class_name); + goto bad; + } + return (PyTypeObject *)result; +bad: + Py_XDECREF(py_module); + Py_XDECREF(result); + return 0; +} +#endif + +#ifndef __PYX_HAVE_RT_ImportModule +#define __PYX_HAVE_RT_ImportModule +static PyObject *__Pyx_ImportModule(const char *name) { + PyObject *py_name = 0; + PyObject *py_module = 0; + + #if PY_MAJOR_VERSION < 3 + py_name = PyString_FromString(name); + #else + py_name = PyUnicode_FromString(name); + #endif + if (!py_name) + goto bad; + py_module = PyImport_Import(py_name); + Py_DECREF(py_name); + return py_module; +bad: + Py_XDECREF(py_name); + return 0; +} +#endif + +#include "compile.h" +#include "frameobject.h" +#include "traceback.h" + +static void __Pyx_AddTraceback(const char *funcname) { + PyObject *py_srcfile = 0; + PyObject *py_funcname = 0; + PyObject *py_globals = 0; + PyCodeObject *py_code = 0; + PyFrameObject *py_frame = 0; + + #if PY_MAJOR_VERSION < 3 + py_srcfile = PyString_FromString(__pyx_filename); + #else + py_srcfile = PyUnicode_FromString(__pyx_filename); + #endif + if (!py_srcfile) goto bad; + if (__pyx_clineno) { + #if PY_MAJOR_VERSION < 3 + py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, __pyx_clineno); + #else + py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, __pyx_clineno); + #endif + } + else { + #if PY_MAJOR_VERSION < 3 + py_funcname = PyString_FromString(funcname); + #else + py_funcname = PyUnicode_FromString(funcname); + #endif + } + if (!py_funcname) goto bad; + py_globals = PyModule_GetDict(__pyx_m); + if (!py_globals) goto bad; + py_code = PyCode_New( + 0, /*int argcount,*/ + #if PY_MAJOR_VERSION >= 3 + 0, /*int kwonlyargcount,*/ + #endif + 0, /*int nlocals,*/ + 0, /*int stacksize,*/ + 0, /*int flags,*/ + __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,*/ + __pyx_lineno, /*int firstlineno,*/ + __pyx_empty_bytes /*PyObject *lnotab*/ + ); + if (!py_code) goto bad; + py_frame = PyFrame_New( + PyThreadState_GET(), /*PyThreadState *tstate,*/ + py_code, /*PyCodeObject *code,*/ + py_globals, /*PyObject *globals,*/ + 0 /*PyObject *locals*/ + ); + if (!py_frame) goto bad; + py_frame->f_lineno = __pyx_lineno; + PyTraceBack_Here(py_frame); +bad: + Py_XDECREF(py_srcfile); + Py_XDECREF(py_funcname); + Py_XDECREF(py_code); + Py_XDECREF(py_frame); +} + +static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) { + while (t->p) { + #if PY_MAJOR_VERSION < 3 + if (t->is_unicode) { + *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL); + } else if (t->intern) { + *t->p = PyString_InternFromString(t->s); + } else { + *t->p = PyString_FromStringAndSize(t->s, t->n - 1); + } + #else /* Python 3+ has unicode identifiers */ + if (t->is_unicode | t->is_str) { + if (t->intern) { + *t->p = PyUnicode_InternFromString(t->s); + } else if (t->encoding) { + *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL); + } else { + *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1); + } + } else { + *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1); + } + #endif + if (!*t->p) + return -1; + ++t; + } + return 0; +} + +/* Type Conversion Functions */ + +static INLINE int __Pyx_PyObject_IsTrue(PyObject* x) { + if (x == Py_True) return 1; + else if ((x == Py_False) | (x == Py_None)) return 0; + else return PyObject_IsTrue(x); +} + +static INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) { + PyNumberMethods *m; + const char *name = NULL; + PyObject *res = NULL; +#if PY_VERSION_HEX < 0x03000000 + if (PyInt_Check(x) || PyLong_Check(x)) +#else + if (PyLong_Check(x)) +#endif + return Py_INCREF(x), x; + m = Py_TYPE(x)->tp_as_number; +#if PY_VERSION_HEX < 0x03000000 + if (m && m->nb_int) { + name = "int"; + res = PyNumber_Int(x); + } + else if (m && m->nb_long) { + name = "long"; + res = PyNumber_Long(x); + } +#else + if (m && m->nb_int) { + name = "int"; + res = PyNumber_Long(x); + } +#endif + if (res) { +#if PY_VERSION_HEX < 0x03000000 + if (!PyInt_Check(res) && !PyLong_Check(res)) { +#else + if (!PyLong_Check(res)) { +#endif + PyErr_Format(PyExc_TypeError, + "__%s__ returned non-%s (type %.200s)", + name, name, Py_TYPE(res)->tp_name); + Py_DECREF(res); + return NULL; + } + } + else if (!PyErr_Occurred()) { + PyErr_SetString(PyExc_TypeError, + "an integer is required"); + } + return res; +} + +static INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) { + Py_ssize_t ival; + PyObject* x = PyNumber_Index(b); + if (!x) return -1; + ival = PyInt_AsSsize_t(x); + Py_DECREF(x); + return ival; +} + +static INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) { +#if PY_VERSION_HEX < 0x02050000 + if (ival <= LONG_MAX) + return PyInt_FromLong((long)ival); + else { + unsigned char *bytes = (unsigned char *) &ival; + int one = 1; int little = (int)*(unsigned char*)&one; + return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0); + } +#else + return PyInt_FromSize_t(ival); +#endif +} + +static INLINE size_t __Pyx_PyInt_AsSize_t(PyObject* x) { + unsigned PY_LONG_LONG val = __Pyx_PyInt_AsUnsignedLongLong(x); + if (unlikely(val == (unsigned PY_LONG_LONG)-1 && PyErr_Occurred())) { + return (size_t)-1; + } else if (unlikely(val != (unsigned PY_LONG_LONG)(size_t)val)) { + PyErr_SetString(PyExc_OverflowError, + "value too large to convert to size_t"); + return (size_t)-1; + } + return (size_t)val; +} + + +#endif /* Py_PYTHON_H */ diff --git a/scikits/image/analysis/spath.pyx b/scikits/image/analysis/spath.pyx new file mode 100644 index 00000000..d772bb06 --- /dev/null +++ b/scikits/image/analysis/spath.pyx @@ -0,0 +1,68 @@ +# -*- python -*- + +import numpy as np +cimport numpy as np + +cdef extern from "math.h": + double fabs(double f) + +cpdef shortest_path(np.ndarray arr): + """Find the shortest left-to-right path through an array. + + Parameters + ---------- + arr : (M,N) ndarray of float64 + + """ + if arr.ndim != 2: + raise ValueError("Expected 2-D array as input") + + cdef np.ndarray[np.double_t, ndim=2] data = \ + np.ascontiguousarray(arr, dtype=np.double) + + cdef int M = arr.shape[0] + cdef int N = arr.shape[1] + + cdef np.ndarray[np.int_t, ndim=2] node = \ + np.empty((M, N), dtype=int) + + cdef np.ndarray[np.double_t, ndim=2] cost = \ + np.empty((M, N), dtype=np.double) + + cdef np.ndarray[np.int_t] out = np.empty((N,), dtype=int) + + cdef int c, r, rb, r_min_node + cdef int r_bracket_min = 0, r_bracket_max = 0 + cdef double delta0 = 0, delta1 = 0 + + cost[:, 0] = 0 + + for c in range(1, N): + for r in range(M): + r_bracket_min = r - 1 + r_bracket_max = r + 1 + + if r_bracket_min < 0: + r_bracket_min = 0 + if r_bracket_max > M - 1: + r_bracket_max = M - 1 + + node[r, c] = r_bracket_min + for rb in range(r_bracket_min + 1, r_bracket_max + 1): + delta0 = fabs(data[rb, c] - data[rb, c - 1]) + delta1 = fabs(data[rb, c] - data[node[r, c], c - 1]) + if delta0 < delta1: + node[r, c] = rb + + cost[r, c] = cost[node[r, c], c - 1] + \ + fabs(data[r, c] - data[node[r, c], c - 1]) + + # Find minimum cost path + r_min_node = cost[:,-1].argmin() + + # Backtrack + out[N - 1] = r_min_node + for c in range(N - 1, 0, -1): + out[c - 1] = node[out[c], c] + + return out, cost[r_min_node, N - 1] diff --git a/scikits/image/analysis/tests/test_spath.py b/scikits/image/analysis/tests/test_spath.py new file mode 100644 index 00000000..8e790f77 --- /dev/null +++ b/scikits/image/analysis/tests/test_spath.py @@ -0,0 +1,17 @@ +import numpy as np +from numpy.testing import * + +from scikits.image.analysis import shortest_path + +class TestShortestPath: + def test_basic(self): + x = np.array([[1, 1, 3], + [0, 2, 0], + [4, 3, 1]]) + y = np.empty((3,)) + path, cost = shortest_path(x) + assert_array_equal(path, [0, 0, 1]) + assert_equal(cost, 1) + +if __name__ == "__main__": + run_module_suite() diff --git a/scikits/image/opencv/setup.py b/scikits/image/opencv/setup.py index 06748542..404c5a1b 100644 --- a/scikits/image/opencv/setup.py +++ b/scikits/image/opencv/setup.py @@ -1,35 +1,10 @@ #!/usr/bin/env python -import os -import shutil -import hashlib +from scikits.image._build import cython -base_path = os.path.dirname(__file__) - -def same_cython(f0, f1): - '''Compare two Cython generated C-files, based on their md5-sum. - - Returns True if the files are identical, False if not. The first - lines are skipped, due to the timestamp printed there. - - ''' - def md5sum(f): - m = hashlib.new('md5') - while True: - d = f.read(8096) - if not d: - break - m.update(d) - return m.hexdigest() - - f0 = file(f0) - f0.readline() - - f1 = file(f1) - f1.readline() - - return md5sum(f0) == md5sum(f1) +import os.path +base_path = os.path.abspath(os.path.dirname(__file__)) def configuration(parent_package='', top_path=None): from numpy.distutils.misc_util import Configuration, get_numpy_include_dirs @@ -38,37 +13,11 @@ def configuration(parent_package='', top_path=None): config.add_data_dir('tests') - # since distutils/cython has problems, we'll check to see if cython is - # installed and use that to rebuild the .c files, if not, we'll just build - # directly from the included .c files - cython_files = ['opencv_backend.pyx', 'opencv_cv.pyx'] - try: - import Cython - for pyxfile in [os.path.join(base_path, f) for f in cython_files]: - # make a backup of the good c files - c_file = pyxfile.rstrip('pyx') + 'c' - c_file_new = c_file + '.new' - - # run cython compiler - os.system('cython -o %s %s' % (c_file_new, pyxfile)) - - # if the resulting file is small, cython compilation failed - size = os.path.getsize(c_file_new) - if size < 100: - print "Cython compilation of %s failed. Using " \ - "pre-generated file." % os.path.basename(pyxfile) - continue - - # if the generated .c file differs from the one provided, - # use that one instead - if not same_cython(c_file_new, c_file): - shutil.copy(c_file_new, c_file) - - except ImportError: - # if cython is not found, we just build from the included .c files - pass + # This function tries to create C files from the given .pyx files. If + # it fails, we build the checked-in .c files. + cython(cython_files, working_path=base_path) for pyxfile in cython_files: c_file = pyxfile.rstrip('pyx') + 'c' From 7770e393e07a1e2912fd7d3e9e5cf3ee75e4d75e Mon Sep 17 00:00:00 2001 From: Stefan van der Walt Date: Mon, 2 Nov 2009 22:49:28 +0200 Subject: [PATCH 2/2] Fix subtle rstrip bug. --- scikits/image/_build.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/scikits/image/_build.py b/scikits/image/_build.py index d487a546..fc899e0a 100644 --- a/scikits/image/_build.py +++ b/scikits/image/_build.py @@ -20,7 +20,7 @@ def cython(pyx_files, working_path=''): else: for pyxfile in [os.path.join(working_path, f) for f in pyx_files]: # make a backup of the good c files - c_file = pyxfile.rstrip('pyx') + 'c' + c_file = pyxfile[:-4] + 'c' c_file_new = c_file + '.new' # run cython compiler