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Diffstat (limited to 'libm/ldouble/exp10l.c')
| -rw-r--r-- | libm/ldouble/exp10l.c | 192 |
1 files changed, 0 insertions, 192 deletions
diff --git a/libm/ldouble/exp10l.c b/libm/ldouble/exp10l.c deleted file mode 100644 index b837571b4..000000000 --- a/libm/ldouble/exp10l.c +++ /dev/null @@ -1,192 +0,0 @@ -/* exp10l.c - * - * Base 10 exponential function, long double precision - * (Common antilogarithm) - * - * - * - * SYNOPSIS: - * - * long double x, y, exp10l() - * - * y = exp10l( x ); - * - * - * - * DESCRIPTION: - * - * Returns 10 raised to the x power. - * - * Range reduction is accomplished by expressing the argument - * as 10**x = 2**n 10**f, with |f| < 0.5 log10(2). - * The Pade' form - * - * 1 + 2x P(x**2)/( Q(x**2) - P(x**2) ) - * - * is used to approximate 10**f. - * - * - * - * ACCURACY: - * - * Relative error: - * arithmetic domain # trials peak rms - * IEEE +-4900 30000 1.0e-19 2.7e-20 - * - * ERROR MESSAGES: - * - * message condition value returned - * exp10l underflow x < -MAXL10 0.0 - * exp10l overflow x > MAXL10 MAXNUM - * - * IEEE arithmetic: MAXL10 = 4932.0754489586679023819 - * - */ - -/* -Cephes Math Library Release 2.2: January, 1991 -Copyright 1984, 1991 by Stephen L. Moshier -Direct inquiries to 30 Frost Street, Cambridge, MA 02140 -*/ - - -#include <math.h> - -#ifdef UNK -static long double P[] = { - 3.1341179396892496811523E1L, - 4.5618283154904699073999E3L, - 1.3433113468542797218610E5L, - 7.6025447914440301593592E5L, -}; -static long double Q[] = { -/* 1.0000000000000000000000E0,*/ - 4.7705440288425157637739E2L, - 2.9732606548049614870598E4L, - 4.0843697951001026189583E5L, - 6.6034865026929015925608E5L, -}; -/*static long double LOG102 = 3.0102999566398119521373889e-1L;*/ -static long double LOG210 = 3.3219280948873623478703L; -static long double LG102A = 3.01025390625e-1L; -static long double LG102B = 4.6050389811952137388947e-6L; -#endif - - -#ifdef IBMPC -static short P[] = { -0x399a,0x7dc7,0xbc43,0xfaba,0x4003, XPD -0xb526,0xdf32,0xa063,0x8e8e,0x400b, XPD -0x18da,0xafa1,0xc89e,0x832e,0x4010, XPD -0x503d,0x9352,0xe7aa,0xb99b,0x4012, XPD -}; -static short Q[] = { -/*0x0000,0x0000,0x0000,0x8000,0x3fff,*/ -0x947d,0x7855,0xf6ac,0xee86,0x4007, XPD -0x18cf,0x7749,0x368d,0xe849,0x400d, XPD -0x85be,0x2560,0x9f58,0xc76e,0x4011, XPD -0x6d3c,0x80c5,0xca67,0xa137,0x4012, XPD -}; -/* -static short L102[] = {0xf799,0xfbcf,0x9a84,0x9a20,0x3ffd, XPD}; -#define LOG102 *(long double *)L102 -*/ -static short L210[] = {0x8afe,0xcd1b,0x784b,0xd49a,0x4000, XPD}; -#define LOG210 *(long double *)L210 -static short L102A[] = {0x0000,0x0000,0x0000,0x9a20,0x3ffd, XPD}; -#define LG102A *(long double *)L102A -static short L102B[] = {0x8f89,0xf798,0xfbcf,0x9a84,0x3fed, XPD}; -#define LG102B *(long double *)L102B -#endif - -#ifdef MIEEE -static long P[] = { -0x40030000,0xfababc43,0x7dc7399a, -0x400b0000,0x8e8ea063,0xdf32b526, -0x40100000,0x832ec89e,0xafa118da, -0x40120000,0xb99be7aa,0x9352503d, -}; -static long Q[] = { -/* 0x3fff0000,0x80000000,0x00000000, */ -0x40070000,0xee86f6ac,0x7855947d, -0x400d0000,0xe849368d,0x774918cf, -0x40110000,0xc76e9f58,0x256085be, -0x40120000,0xa137ca67,0x80c56d3c, -}; -/* -static long L102[] = {0x3ffd0000,0x9a209a84,0xfbcff799}; -#define LOG102 *(long double *)L102 -*/ -static long L210[] = {0x40000000,0xd49a784b,0xcd1b8afe}; -#define LOG210 *(long double *)L210 -static long L102A[] = {0x3ffd0000,0x9a200000,0x00000000}; -#define LG102A *(long double *)L102A -static long L102B[] = {0x3fed0000,0x9a84fbcf,0xf7988f89}; -#define LG102B *(long double *)L102B -#endif - -static long double MAXL10 = 4.9320754489586679023819e3L; -extern long double MAXNUML; -#ifdef ANSIPROT -extern long double floorl ( long double ); -extern long double ldexpl ( long double, int ); -extern long double polevll ( long double, void *, int ); -extern long double p1evll ( long double, void *, int ); -extern int isnanl ( long double ); -#else -long double floorl(), ldexpl(), polevll(), p1evll(), isnanl(); -#endif -#ifdef INFINITIES -extern long double INFINITYL; -#endif - -long double exp10l(x) -long double x; -{ -long double px, xx; -short n; - -#ifdef NANS -if( isnanl(x) ) - return(x); -#endif -if( x > MAXL10 ) - { -#ifdef INFINITIES - return( INFINITYL ); -#else - mtherr( "exp10l", OVERFLOW ); - return( MAXNUML ); -#endif - } - -if( x < -MAXL10 ) /* Would like to use MINLOG but can't */ - { -#ifndef INFINITIES - mtherr( "exp10l", UNDERFLOW ); -#endif - return(0.0L); - } - -/* Express 10**x = 10**g 2**n - * = 10**g 10**( n log10(2) ) - * = 10**( g + n log10(2) ) - */ -px = floorl( LOG210 * x + 0.5L ); -n = px; -x -= px * LG102A; -x -= px * LG102B; - -/* rational approximation for exponential - * of the fractional part: - * 10**x = 1 + 2x P(x**2)/( Q(x**2) - P(x**2) ) - */ -xx = x * x; -px = x * polevll( xx, P, 3 ); -x = px/( p1evll( xx, Q, 4 ) - px ); -x = 1.0L + ldexpl( x, 1 ); - -/* multiply by power of 2 */ -x = ldexpl( x, n ); -return(x); -} |