home *** CD-ROM | disk | FTP | other *** search
- /* 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 2.0: April, 1987
- Copyright 1984, 1987 by Stephen L. Moshier
- Direct inquiries to 30 Frost Street, Cambridge, MA 02140
- */
-
- #include "mconf.h"
-
- #ifdef UNK
- double MACHEP = 1.38777878078144567553E-17; /* 2**-56 */
- double MAXLOG = 8.8029691931113054295988E1; /* log(2**127) */
- double MINLOG = -8.872283911167299960540E1; /* log(2**-128) */
- double MAXNUM = 1.701411834604692317316873e38; /* 2**127 */
- 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 */
- #endif
-
- #ifdef IBMPC
- /* 2**-53 = 1.11022302462515654042E-16 */
- short MACHEP[4] = {0x0000,0x0000,0x0000,0x3ca0};
- /* log(2**1024) = 7.09782712893383996843E2 */
- short MAXLOG[4] = {0x39ef,0xfefa,0x2e42,0x4086};
- /* log(2**-1022) = - 7.08396418532264106224E2 */
- short UNDLOG[4] = {0xbcd2,0xdd7a,0x232b,0xc086};
- /* log(2**-1074) = - -7.44440071921381262314E2 */
- short MINLOG[4] = {0x71c3,0x446d,0x4385,0xc087};
- /* 2**1024*(1-MACHEP) = 1.7976931348623158E308 */
- short MAXNUM[4] = {0xffff,0xffff,0xffff,0x7fef};
- short PI[4] = {0x2d18,0x5444,0x21fb,0x4009};
- short PIO2[4] = {0x2d18,0x5444,0x21fb,0x3ff9};
- short PIO4[4] = {0x2d18,0x5444,0x21fb,0x3fe9};
- short SQRT2[4] = {0x3bcd,0x667f,0xa09e,0x3ff6};
- short SQRTH[4] = {0x3bcd,0x667f,0xa09e,0x3fe6};
- short LOG2E[4] = {0x82fe,0x652b,0x1547,0x3ff7};
- short SQ2OPI[4] = {0x3651,0x33d4,0x8845,0x3fe9};
- short LOGE2[4] = {0x39ef,0xfefa,0x2e42,0x3fe6};
- short LOGSQ2[4] = {0x39ef,0xfefa,0x2e42,0x3fd6};
- short THPIO4[4] = {0x21d2,0x7f33,0xd97c,0x4002};
- short TWOOPI[4] = {0xc883,0x6dc9,0x5f30,0x3fe4};
- #endif
-
- #ifdef MIEEE
- /* 2**-53 = 1.11022302462515654042E-16 */
- short MACHEP[4] = {
- 0x3ca0,0x0000,0x0000,0x0000
- };
- /* log(2**1024) = 7.09782712893383996843E2 */
- short MAXLOG[4] = {
- 0x4086,0x2e42,0xfefa,0x39ef
- };
- /* log(2**-1022) = - 7.08396418532264106224E2 */
- short MINLOG[4] = {
- 0xc086,0x232b,0xdd7a,0xbcd2
- };
- /* 2**1024*(1-MACHEP) = 1.7976931348623158E308 */
- short MAXNUM[4] = {
- 0x7fef,0xffff,0xffff,0xffff
- };
- short PI[4] = {
- 0x4009,0x21fb,0x5444,0x2d18
- };
- short PIO2[4] = {
- 0x3ff9,0x21fb,0x5444,0x2d18
- };
- short PIO4[4] = {
- 0x3fe9,0x21fb,0x5444,0x2d18
- };
- short SQRT2[4] = {
- 0x3ff6,0xa09e,0x667f,0x3bcd
- };
- short SQRTH[4] = {
- 0x3fe6,0xa09e,0x667f,0x3bcd
- };
- short LOG2E[4] = {
- 0x3ff7,0x1547,0x652b,0x82fe
- };
- short SQ2OPI[4] = {
- 0x3fe9,0x8845,0x33d4,0x3651
- };
- short LOGE2[4] = {
- 0x3fe6,0x2e42,0xfefa,0x39ef
- };
- short LOGSQ2[4] = {
- 0x3fd6,0x2e42,0xfefa,0x39ef
- };
- short THPIO4[4] = {
- 0x4002,0xd97c,0x7f33,0x21d2
- };
- short TWOOPI[4] = {
- 0x3fe4,0x5f30,0x6dc9,0xc883
- };
- #endif
-
- #ifdef DEC
- /* 2**-56 = 1.38777878078144567553E-17 */
- short MACHEP[4] = {0022200,0000000,0000000,0000000};
- /* log 2**127 = 88.029691931113054295988 */
- short MAXLOG[4] = {041660,007463,0143742,025733,};
- /* log 2**-128 = -88.72283911167299960540 */
- short MINLOG[4] = {0141661,071027,0173721,0147572,};
- /* 2**127 = 1.701411834604692317316873e38 */
- short MAXNUM[4] = {077777,0177777,0177777,0177777,};
- short PI[4] = {040511,007732,0121041,064302,};
- short PIO2[4] = {040311,007732,0121041,064302,};
- short PIO4[4] = {040111,007732,0121041,064302,};
- short SQRT2[4] = {040265,002363,031771,0157145,};
- short SQRTH[4] = {040065,002363,031771,0157144,};
- short LOG2E[4] = {040270,0125073,024534,013761,};
- short SQ2OPI[4] = {040114,041051,0117241,0131204,};
- short LOGE2[4] = {040061,071027,0173721,0147572,};
- short LOGSQ2[4] = {037661,071027,0173721,0147572,};
- short THPIO4[4] = {040426,0145743,0174631,007222,};
- short TWOOPI[4] = {040042,0174603,067116,042025,};
- #endif
-
- extern short MACHEP[];
- extern short MAXLOG[];
- extern short UNDLOG[];
- extern short MINLOG[];
- extern short MAXNUM[];
- extern short PI[];
- extern short PIO2[];
- extern short PIO4[];
- extern short SQRT2[];
- extern short SQRTH[];
- extern short LOG2E[];
- extern short SQ2OPI[];
- extern short LOGE2[];
- extern short LOGSQ2[];
- extern short THPIO4[];
- extern short TWOOPI[];
- static char x[] =
- "Cephes Math Library Copyright 1987 by Stephen L. Moshier";
-