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Diffstat (limited to 'libm/double/const.c')
-rw-r--r-- | libm/double/const.c | 252 |
1 files changed, 252 insertions, 0 deletions
diff --git a/libm/double/const.c b/libm/double/const.c new file mode 100644 index 000000000..de4451497 --- /dev/null +++ b/libm/double/const.c @@ -0,0 +1,252 @@ +/* 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 + * math.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 +*/ + +#include <math.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 |