3
* Common include file for math routines
15
* This file contains definitions for error codes that are
16
* passed to the common error handling routine mtherr()
19
* The file also includes a conditional assembly definition
20
* for the type of computer arithmetic (IEEE, DEC, Motorola
23
* For Digital Equipment PDP-11 and VAX computers, certain
24
* IBM systems, and others that use numbers with a 56-bit
25
* significand, the symbol DEC should be defined. In this
26
* mode, most floating point constants are given as arrays
27
* of octal integers to eliminate decimal to binary conversion
28
* errors that might be introduced by the compiler.
30
* For little-endian computers, such as IBM PC, that follow the
31
* IEEE Standard for Binary Floating Point Arithmetic (ANSI/IEEE
32
* Std 754-1985), the symbol IBMPC should be defined. These
33
* numbers have 53-bit significands. In this mode, constants
34
* are provided as arrays of hexadecimal 16 bit integers.
36
* Big-endian IEEE format is denoted MIEEE. On some RISC
37
* systems such as Sun SPARC, double precision constants
38
* must be stored on 8-byte address boundaries. Since integer
39
* arrays may be aligned differently, the MIEEE configuration
40
* may fail on such machines.
42
* To accommodate other types of computer arithmetic, all
43
* constants are also provided in a normal decimal radix
44
* which one can hope are correctly converted to a suitable
45
* format by the available C language compiler. To invoke
46
* this mode, define the symbol UNK.
48
* An important difference among these modes is a predefined
49
* set of machine arithmetic constants for each. The numbers
50
* MACHEP (the machine roundoff error), MAXNUM (largest number
51
* represented), and several other parameters are preset by
52
* the configuration symbol. Check the file const.c to
53
* ensure that these values are correct for your computer.
55
* Configurations NANS, INFINITIES, MINUSZERO, and DENORMAL
56
* may fail on many systems. Verify that they are supposed
57
* to work on your computer.
61
Cephes Math Library Release 2.3: June, 1995
62
Copyright 1984, 1987, 1989, 1995 by Stephen L. Moshier
65
#include "cephes_names.h"
67
/* Constant definitions for math error conditions
70
#define DOMAIN 1 /* argument domain error */
71
#define SING 2 /* argument singularity */
72
#define OVERFLOW 3 /* overflow range error */
73
#define UNDERFLOW 4 /* underflow range error */
74
#define TLOSS 5 /* total loss of precision */
75
#define PLOSS 6 /* partial loss of precision */
76
#define TOOMANY 7 /* too many iterations */
82
/* Complex numeral. */
89
/* Long double complex numeral. */
98
/* Type of computer arithmetic */
100
/* This is kind of improper, as the byte-order of floats may not
101
* be the same as the byte-order of ints. However, it works.
104
#include <pyconfig.h>
105
#ifdef WORDS_BIGENDIAN
113
/* UNKnown arithmetic, invokes coefficients given in
114
* normal decimal format. Beware of range boundary
115
* problems (MACHEP, MAXLOG, etc. in const.c) and
116
* roundoff problems in pow.c:
121
/* Define this `volatile' if your compiler thinks
122
* that floating point arithmetic obeys the associative
123
* and distributive laws. It will defeat some optimizations
124
* (but probably not enough of them).
126
* #define VOLATILE volatile
130
/* For 12-byte long doubles on an i386, pad a 16-bit short 0
131
* to the end of real constants initialized by integer arrays.
135
* Otherwise, the type is 10 bytes long and XPD should be
136
* defined blank (e.g., Microsoft C).
142
/* Define to support tiny denormal numbers, else undefine. */
145
/* Define to ask for infinity support, else undefine. */
151
/* Define to ask for support of numbers that are Not-a-Number,
152
else undefine. This may automatically define INFINITIES in some files. */
158
/* Define to distinguish between -0.0 and +0.0. */
161
/* Define 1 for ANSI C atan2() function
162
See atan.c and clog.c. */
165
/* Get ANSI function prototypes, if you want them. */
166
#if defined(__STDC__) || defined(_MSC_EXTENSIONS)
173
/* Variable for error reporting. See mtherr.c. */