Repository navigation
Expand file tree
/
Copy pathpymath.h
More file actions
230 lines (208 loc) · 8.12 KB
/
Copy pathpymath.h
File metadata and controls
230 lines (208 loc) · 8.12 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
#ifndef Py_PYMATH_H
#define Py_PYMATH_H
#include "pyconfig.h" /* include for defines */
/**************************************************************************
Symbols and macros to supply platform-independent interfaces to mathematical
functions and constants
**************************************************************************/
/* Python provides implementations for copysign, round and hypot in
* Python/pymath.c just in case your math library doesn't provide the
* functions.
*
*Note: PC/pyconfig.h defines copysign as _copysign
*/
#ifndef HAVE_COPYSIGN
extern double copysign(double, double);
#endif
#ifndef HAVE_ROUND
extern double round(double);
#endif
#ifndef HAVE_HYPOT
extern double hypot(double, double);
#endif
/* extra declarations */
#ifndef _MSC_VER
#ifndef __STDC__
extern double fmod (double, double);
extern double frexp (double, int *);
extern double ldexp (double, int);
extern double modf (double, double *);
extern double pow(double, double);
#endif /* __STDC__ */
#endif /* _MSC_VER */
/* High precision definition of pi and e (Euler)
* The values are taken from libc6's math.h.
*/
#ifndef Py_MATH_PIl
#define Py_MATH_PIl 3.1415926535897932384626433832795029L
#endif
#ifndef Py_MATH_PI
#define Py_MATH_PI 3.14159265358979323846
#endif
#ifndef Py_MATH_El
#define Py_MATH_El 2.7182818284590452353602874713526625L
#endif
#ifndef Py_MATH_E
#define Py_MATH_E 2.7182818284590452354
#endif
/* Tau (2pi) to 40 digits, taken from tauday.com/tau-digits. */
#ifndef Py_MATH_TAU
#define Py_MATH_TAU 6.2831853071795864769252867665590057683943L
#endif
/* On x86, Py_FORCE_DOUBLE forces a floating-point number out of an x87 FPU
register and into a 64-bit memory location, rounding from extended
precision to double precision in the process. On other platforms it does
nothing. */
/* we take double rounding as evidence of x87 usage */
#ifndef Py_LIMITED_API
#ifndef Py_FORCE_DOUBLE
# ifdef X87_DOUBLE_ROUNDING
PyAPI_FUNC(double) _Py_force_double(double);
# define Py_FORCE_DOUBLE(X) (_Py_force_double(X))
# else
# define Py_FORCE_DOUBLE(X) (X)
# endif
#endif
#endif
#ifndef Py_LIMITED_API
#ifdef HAVE_GCC_ASM_FOR_X87
PyAPI_FUNC(unsigned short) _Py_get_387controlword(void);
PyAPI_FUNC(void) _Py_set_387controlword(unsigned short);
#endif
#endif
/* Py_IS_NAN(X)
* Return 1 if float or double arg is a NaN, else 0.
* Caution:
* X is evaluated more than once.
* This may not work on all platforms. Each platform has *some*
* way to spell this, though -- override in pyconfig.h if you have
* a platform where it doesn't work.
* Note: PC/pyconfig.h defines Py_IS_NAN as _isnan
*/
#ifndef Py_IS_NAN
#if defined HAVE_DECL_ISNAN && HAVE_DECL_ISNAN == 1
#define Py_IS_NAN(X) isnan(X)
#else
#define Py_IS_NAN(X) ((X) != (X))
#endif
#endif
/* Py_IS_INFINITY(X)
* Return 1 if float or double arg is an infinity, else 0.
* Caution:
* X is evaluated more than once.
* This implementation may set the underflow flag if |X| is very small;
* it really can't be implemented correctly (& easily) before C99.
* Override in pyconfig.h if you have a better spelling on your platform.
* Py_FORCE_DOUBLE is used to avoid getting false negatives from a
* non-infinite value v sitting in an 80-bit x87 register such that
* v becomes infinite when spilled from the register to 64-bit memory.
* Note: PC/pyconfig.h defines Py_IS_INFINITY as _isinf
*/
#ifndef Py_IS_INFINITY
# if defined HAVE_DECL_ISINF && HAVE_DECL_ISINF == 1
# define Py_IS_INFINITY(X) isinf(X)
# else
# define Py_IS_INFINITY(X) ((X) && \
(Py_FORCE_DOUBLE(X)*0.5 == Py_FORCE_DOUBLE(X)))
# endif
#endif
/* Py_IS_FINITE(X)
* Return 1 if float or double arg is neither infinite nor NAN, else 0.
* Some compilers (e.g. VisualStudio) have intrisics for this, so a special
* macro for this particular test is useful
* Note: PC/pyconfig.h defines Py_IS_FINITE as _finite
*/
#ifndef Py_IS_FINITE
#if defined HAVE_DECL_ISFINITE && HAVE_DECL_ISFINITE == 1
#define Py_IS_FINITE(X) isfinite(X)
#elif defined HAVE_FINITE
#define Py_IS_FINITE(X) finite(X)
#else
#define Py_IS_FINITE(X) (!Py_IS_INFINITY(X) && !Py_IS_NAN(X))
#endif
#endif
/* HUGE_VAL is supposed to expand to a positive double infinity. Python
* uses Py_HUGE_VAL instead because some platforms are broken in this
* respect. We used to embed code in pyport.h to try to worm around that,
* but different platforms are broken in conflicting ways. If you're on
* a platform where HUGE_VAL is defined incorrectly, fiddle your Python
* config to #define Py_HUGE_VAL to something that works on your platform.
*/
#ifndef Py_HUGE_VAL
#define Py_HUGE_VAL HUGE_VAL
#endif
/* Py_NAN
* A value that evaluates to a NaN. On IEEE 754 platforms INF*0 or
* INF/INF works. Define Py_NO_NAN in pyconfig.h if your platform
* doesn't support NaNs.
*/
#if !defined(Py_NAN) && !defined(Py_NO_NAN)
#if !defined(__INTEL_COMPILER)
#define Py_NAN (Py_HUGE_VAL * 0.)
#else /* __INTEL_COMPILER */
#if defined(ICC_NAN_STRICT)
#pragma float_control(push)
#pragma float_control(precise, on)
#pragma float_control(except, on)
#if defined(_MSC_VER)
__declspec(noinline)
#else /* Linux */
__attribute__((noinline))
#endif /* _MSC_VER */
static double __icc_nan()
{
return sqrt(-1.0);
}
#pragma float_control (pop)
#define Py_NAN __icc_nan()
#else /* ICC_NAN_RELAXED as default for Intel Compiler */
static const union { unsigned char buf[8]; double __icc_nan; } __nan_store = {0,0,0,0,0,0,0xf8,0x7f};
#define Py_NAN (__nan_store.__icc_nan)
#endif /* ICC_NAN_STRICT */
#endif /* __INTEL_COMPILER */
#endif
/* Py_OVERFLOWED(X)
* Return 1 iff a libm function overflowed. Set errno to 0 before calling
* a libm function, and invoke this macro after, passing the function
* result.
* Caution:
* This isn't reliable. C99 no longer requires libm to set errno under
* any exceptional condition, but does require +- HUGE_VAL return
* values on overflow. A 754 box *probably* maps HUGE_VAL to a
* double infinity, and we're cool if that's so, unless the input
* was an infinity and an infinity is the expected result. A C89
* system sets errno to ERANGE, so we check for that too. We're
* out of luck if a C99 754 box doesn't map HUGE_VAL to +Inf, or
* if the returned result is a NaN, or if a C89 box returns HUGE_VAL
* in non-overflow cases.
* X is evaluated more than once.
* Some platforms have better way to spell this, so expect some #ifdef'ery.
*
* OpenBSD uses 'isinf()' because a compiler bug on that platform causes
* the longer macro version to be mis-compiled. This isn't optimal, and
* should be removed once a newer compiler is available on that platform.
* The system that had the failure was running OpenBSD 3.2 on Intel, with
* gcc 2.95.3.
*
* According to Tim's checkin, the FreeBSD systems use isinf() to work
* around a FPE bug on that platform.
*/
#if defined(__FreeBSD__) || defined(__OpenBSD__)
#define Py_OVERFLOWED(X) isinf(X)
#else
#define Py_OVERFLOWED(X) ((X) != 0.0 && (errno == ERANGE || \
(X) == Py_HUGE_VAL || \
(X) == -Py_HUGE_VAL))
#endif
/* Return whether integral type *type* is signed or not. */
#define _Py_IntegralTypeSigned(type) ((type)(-1) < 0)
/* Return the maximum value of integral type *type*. */
#define _Py_IntegralTypeMax(type) ((_Py_IntegralTypeSigned(type)) ? (((((type)1 << (sizeof(type)*CHAR_BIT - 2)) - 1) << 1) + 1) : ~(type)0)
/* Return the minimum value of integral type *type*. */
#define _Py_IntegralTypeMin(type) ((_Py_IntegralTypeSigned(type)) ? -_Py_IntegralTypeMax(type) - 1 : 0)
/* Check whether *v* is in the range of integral type *type*. This is most
* useful if *v* is floating-point, since demoting a floating-point *v* to an
* integral type that cannot represent *v*'s integral part is undefined
* behavior. */
#define _Py_InIntegralTypeRange(type, v) (_Py_IntegralTypeMin(type) <= v && v <= _Py_IntegralTypeMax(type))
#endif /* Py_PYMATH_H */