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raze-gles/source/common/thirdparty/math/const.c

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- migrated to GZDoom's utility code.
2020-04-11 21:50:43 +00:00
/* const.c
*
* Globally declared constants
*
*
*
* SYNOPSIS:
*
* extern double nameofconstant;
*
*
*
*
* DESCRIPTION:
*
* This file contains a number of mathematical constants and
* also some needed size parameters of the computer arithmetic.
* The values are supplied as arrays of hexadecimal integers
* for IEEE arithmetic; arrays of octal constants for DEC
* arithmetic; and in a normal decimal scientific notation for
* other machines. The particular notation used is determined
* by a symbol (DEC, IBMPC, or UNK) defined in the include file
* mconf.h.
*
* The default size parameters are as follows.
*
* For DEC and UNK modes:
* MACHEP = 1.38777878078144567553E-17 2**-56
* MAXLOG = 8.8029691931113054295988E1 log(2**127)
* MINLOG = -8.872283911167299960540E1 log(2**-128)
* MAXNUM = 1.701411834604692317316873e38 2**127
*
* For IEEE arithmetic (IBMPC):
* MACHEP = 1.11022302462515654042E-16 2**-53
* MAXLOG = 7.09782712893383996843E2 log(2**1024)
* MINLOG = -7.08396418532264106224E2 log(2**-1022)
* MAXNUM = 1.7976931348623158E308 2**1024
*
* The global symbols for mathematical constants are
* PI = 3.14159265358979323846 pi
* PIO2 = 1.57079632679489661923 pi/2
* PIO4 = 7.85398163397448309616E-1 pi/4
* SQRT2 = 1.41421356237309504880 sqrt(2)
* SQRTH = 7.07106781186547524401E-1 sqrt(2)/2
* LOG2E = 1.4426950408889634073599 1/log(2)
* SQ2OPI = 7.9788456080286535587989E-1 sqrt( 2/pi )
* LOGE2 = 6.93147180559945309417E-1 log(2)
* LOGSQ2 = 3.46573590279972654709E-1 log(2)/2
* THPIO4 = 2.35619449019234492885 3*pi/4
* TWOOPI = 6.36619772367581343075535E-1 2/pi
*
* These lists are subject to change.
*/
/* const.c */
/*
Cephes Math Library Release 2.3: March, 1995
Copyright 1984, 1995 by Stephen L. Moshier
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
1. Redistributions of source code must retain the above copyright notice,
this list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
3. Neither the name of the <ORGANIZATION> nor the names of its
contributors may be used to endorse or promote products derived from
this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
POSSIBILITY OF SUCH DAMAGE.
*/
#include "mconf.h"
#ifdef UNK
#if 1
double MACHEP = 1.11022302462515654042E-16; /* 2**-53 */
#else
double MACHEP = 1.38777878078144567553E-17; /* 2**-56 */
#endif
double UFLOWTHRESH = 2.22507385850720138309E-308; /* 2**-1022 */
#ifdef DENORMAL
double MAXLOG = 7.09782712893383996732E2; /* log(MAXNUM) */
/* double MINLOG = -7.44440071921381262314E2; */ /* log(2**-1074) */
double MINLOG = -7.451332191019412076235E2; /* log(2**-1075) */
#else
double MAXLOG = 7.08396418532264106224E2; /* log 2**1022 */
double MINLOG = -7.08396418532264106224E2; /* log 2**-1022 */
#endif
double MAXNUM = 1.79769313486231570815E308; /* 2**1024*(1-MACHEP) */
double PI = 3.14159265358979323846; /* pi */
double PIO2 = 1.57079632679489661923; /* pi/2 */
double PIO4 = 7.85398163397448309616E-1; /* pi/4 */
double SQRT2 = 1.41421356237309504880; /* sqrt(2) */
double SQRTH = 7.07106781186547524401E-1; /* sqrt(2)/2 */
double LOG2E = 1.4426950408889634073599; /* 1/log(2) */
double SQ2OPI = 7.9788456080286535587989E-1; /* sqrt( 2/pi ) */
double LOGE2 = 6.93147180559945309417E-1; /* log(2) */
double LOGSQ2 = 3.46573590279972654709E-1; /* log(2)/2 */
double THPIO4 = 2.35619449019234492885; /* 3*pi/4 */
double TWOOPI = 6.36619772367581343075535E-1; /* 2/pi */
#ifdef INFINITIES
double INFINITY = 1.0/0.0; /* 99e999; */
#else
double INFINITY = 1.79769313486231570815E308; /* 2**1024*(1-MACHEP) */
#endif
#ifdef NANS
double NAN = 1.0/0.0 - 1.0/0.0;
#else
double NAN = 0.0;
#endif
#ifdef MINUSZERO
double NEGZERO = -0.0;
#else
double NEGZERO = 0.0;
#endif
#endif
#ifdef IBMPC
/* 2**-53 = 1.11022302462515654042E-16 */
unsigned short MACHEP[4] = {0x0000,0x0000,0x0000,0x3ca0};
unsigned short UFLOWTHRESH[4] = {0x0000,0x0000,0x0000,0x0010};
#ifdef DENORMAL
/* log(MAXNUM) = 7.09782712893383996732224E2 */
unsigned short MAXLOG[4] = {0x39ef,0xfefa,0x2e42,0x4086};
/* log(2**-1074) = - -7.44440071921381262314E2 */
/*unsigned short MINLOG[4] = {0x71c3,0x446d,0x4385,0xc087};*/
unsigned short MINLOG[4] = {0x3052,0xd52d,0x4910,0xc087};
#else
/* log(2**1022) = 7.08396418532264106224E2 */
unsigned short MAXLOG[4] = {0xbcd2,0xdd7a,0x232b,0x4086};
/* log(2**-1022) = - 7.08396418532264106224E2 */
unsigned short MINLOG[4] = {0xbcd2,0xdd7a,0x232b,0xc086};
#endif
/* 2**1024*(1-MACHEP) = 1.7976931348623158E308 */
unsigned short MAXNUM[4] = {0xffff,0xffff,0xffff,0x7fef};
unsigned short PI[4] = {0x2d18,0x5444,0x21fb,0x4009};
unsigned short PIO2[4] = {0x2d18,0x5444,0x21fb,0x3ff9};
unsigned short PIO4[4] = {0x2d18,0x5444,0x21fb,0x3fe9};
unsigned short SQRT2[4] = {0x3bcd,0x667f,0xa09e,0x3ff6};
unsigned short SQRTH[4] = {0x3bcd,0x667f,0xa09e,0x3fe6};
unsigned short LOG2E[4] = {0x82fe,0x652b,0x1547,0x3ff7};
unsigned short SQ2OPI[4] = {0x3651,0x33d4,0x8845,0x3fe9};
unsigned short LOGE2[4] = {0x39ef,0xfefa,0x2e42,0x3fe6};
unsigned short LOGSQ2[4] = {0x39ef,0xfefa,0x2e42,0x3fd6};
unsigned short THPIO4[4] = {0x21d2,0x7f33,0xd97c,0x4002};
unsigned short TWOOPI[4] = {0xc883,0x6dc9,0x5f30,0x3fe4};
#ifdef INFINITIES
unsigned short INFINITY[4] = {0x0000,0x0000,0x0000,0x7ff0};
#else
unsigned short INFINITY[4] = {0xffff,0xffff,0xffff,0x7fef};
#endif
#ifdef NANS
unsigned short NAN[4] = {0x0000,0x0000,0x0000,0x7ffc};
#else
unsigned short NAN[4] = {0x0000,0x0000,0x0000,0x0000};
#endif
#ifdef MINUSZERO
unsigned short NEGZERO[4] = {0x0000,0x0000,0x0000,0x8000};
#else
unsigned short NEGZERO[4] = {0x0000,0x0000,0x0000,0x0000};
#endif
#endif
#ifdef MIEEE
/* 2**-53 = 1.11022302462515654042E-16 */
unsigned short MACHEP[4] = {0x3ca0,0x0000,0x0000,0x0000};
unsigned short UFLOWTHRESH[4] = {0x0010,0x0000,0x0000,0x0000};
#ifdef DENORMAL
/* log(2**1024) = 7.09782712893383996843E2 */
unsigned short MAXLOG[4] = {0x4086,0x2e42,0xfefa,0x39ef};
/* log(2**-1074) = - -7.44440071921381262314E2 */
/* unsigned short MINLOG[4] = {0xc087,0x4385,0x446d,0x71c3}; */
unsigned short MINLOG[4] = {0xc087,0x4910,0xd52d,0x3052};
#else
/* log(2**1022) = 7.08396418532264106224E2 */
unsigned short MAXLOG[4] = {0x4086,0x232b,0xdd7a,0xbcd2};
/* log(2**-1022) = - 7.08396418532264106224E2 */
unsigned short MINLOG[4] = {0xc086,0x232b,0xdd7a,0xbcd2};
#endif
/* 2**1024*(1-MACHEP) = 1.7976931348623158E308 */
unsigned short MAXNUM[4] = {0x7fef,0xffff,0xffff,0xffff};
unsigned short PI[4] = {0x4009,0x21fb,0x5444,0x2d18};
unsigned short PIO2[4] = {0x3ff9,0x21fb,0x5444,0x2d18};
unsigned short PIO4[4] = {0x3fe9,0x21fb,0x5444,0x2d18};
unsigned short SQRT2[4] = {0x3ff6,0xa09e,0x667f,0x3bcd};
unsigned short SQRTH[4] = {0x3fe6,0xa09e,0x667f,0x3bcd};
unsigned short LOG2E[4] = {0x3ff7,0x1547,0x652b,0x82fe};
unsigned short SQ2OPI[4] = {0x3fe9,0x8845,0x33d4,0x3651};
unsigned short LOGE2[4] = {0x3fe6,0x2e42,0xfefa,0x39ef};
unsigned short LOGSQ2[4] = {0x3fd6,0x2e42,0xfefa,0x39ef};
unsigned short THPIO4[4] = {0x4002,0xd97c,0x7f33,0x21d2};
unsigned short TWOOPI[4] = {0x3fe4,0x5f30,0x6dc9,0xc883};
#ifdef INFINITIES
unsigned short INFINITY[4] = {0x7ff0,0x0000,0x0000,0x0000};
#else
unsigned short INFINITY[4] = {0x7fef,0xffff,0xffff,0xffff};
#endif
#ifdef NANS
unsigned short NAN[4] = {0x7ff8,0x0000,0x0000,0x0000};
#else
unsigned short NAN[4] = {0x0000,0x0000,0x0000,0x0000};
#endif
#ifdef MINUSZERO
unsigned short NEGZERO[4] = {0x8000,0x0000,0x0000,0x0000};
#else
unsigned short NEGZERO[4] = {0x0000,0x0000,0x0000,0x0000};
#endif
#endif
#ifdef DEC
/* 2**-56 = 1.38777878078144567553E-17 */
unsigned short MACHEP[4] = {0022200,0000000,0000000,0000000};
unsigned short UFLOWTHRESH[4] = {0x0080,0x0000,0x0000,0x0000};
/* log 2**127 = 88.029691931113054295988 */
unsigned short MAXLOG[4] = {041660,007463,0143742,025733,};
/* log 2**-128 = -88.72283911167299960540 */
unsigned short MINLOG[4] = {0141661,071027,0173721,0147572,};
/* 2**127 = 1.701411834604692317316873e38 */
unsigned short MAXNUM[4] = {077777,0177777,0177777,0177777,};
unsigned short PI[4] = {040511,007732,0121041,064302,};
unsigned short PIO2[4] = {040311,007732,0121041,064302,};
unsigned short PIO4[4] = {040111,007732,0121041,064302,};
unsigned short SQRT2[4] = {040265,002363,031771,0157145,};
unsigned short SQRTH[4] = {040065,002363,031771,0157144,};
unsigned short LOG2E[4] = {040270,0125073,024534,013761,};
unsigned short SQ2OPI[4] = {040114,041051,0117241,0131204,};
unsigned short LOGE2[4] = {040061,071027,0173721,0147572,};
unsigned short LOGSQ2[4] = {037661,071027,0173721,0147572,};
unsigned short THPIO4[4] = {040426,0145743,0174631,007222,};
unsigned short TWOOPI[4] = {040042,0174603,067116,042025,};
/* Approximate infinity by MAXNUM. */
unsigned short INFINITY[4] = {077777,0177777,0177777,0177777,};
unsigned short NAN[4] = {0000000,0000000,0000000,0000000};
#ifdef MINUSZERO
unsigned short NEGZERO[4] = {0000000,0000000,0000000,0100000};
#else
unsigned short NEGZERO[4] = {0000000,0000000,0000000,0000000};
#endif
#endif
#ifndef UNK
extern unsigned short MACHEP[];
extern unsigned short UFLOWTHRESH[];
extern unsigned short MAXLOG[];
extern unsigned short UNDLOG[];
extern unsigned short MINLOG[];
extern unsigned short MAXNUM[];
extern unsigned short PI[];
extern unsigned short PIO2[];
extern unsigned short PIO4[];
extern unsigned short SQRT2[];
extern unsigned short SQRTH[];
extern unsigned short LOG2E[];
extern unsigned short SQ2OPI[];
extern unsigned short LOGE2[];
extern unsigned short LOGSQ2[];
extern unsigned short THPIO4[];
extern unsigned short TWOOPI[];
extern unsigned short INFINITY[];
extern unsigned short NAN[];
extern unsigned short NEGZERO[];
#endif
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