1*4887Schin /*********************************************************************** 2*4887Schin * * 3*4887Schin * This software is part of the ast package * 4*4887Schin * Copyright (c) 1985-2007 AT&T Knowledge Ventures * 5*4887Schin * and is licensed under the * 6*4887Schin * Common Public License, Version 1.0 * 7*4887Schin * by AT&T Knowledge Ventures * 8*4887Schin * * 9*4887Schin * A copy of the License is available at * 10*4887Schin * http://www.opensource.org/licenses/cpl1.0.txt * 11*4887Schin * (with md5 checksum 059e8cd6165cb4c31e351f2b69388fd9) * 12*4887Schin * * 13*4887Schin * Information and Software Systems Research * 14*4887Schin * AT&T Research * 15*4887Schin * Florham Park NJ * 16*4887Schin * * 17*4887Schin * Glenn Fowler <gsf@research.att.com> * 18*4887Schin * David Korn <dgk@research.att.com> * 19*4887Schin * Phong Vo <kpv@research.att.com> * 20*4887Schin * * 21*4887Schin ***********************************************************************/ 22*4887Schin #pragma prototyped 23*4887Schin 24*4887Schin /* 25*4887Schin * frexpl/ldexpl implementation 26*4887Schin */ 27*4887Schin 28*4887Schin #include <ast.h> 29*4887Schin 30*4887Schin #include "FEATURE/float" 31*4887Schin 32*4887Schin #if _lib_frexpl && _lib_ldexpl 33*4887Schin 34*4887Schin NoN(frexpl) 35*4887Schin 36*4887Schin #else 37*4887Schin 38*4887Schin #ifndef LDBL_MAX_EXP 39*4887Schin #define LDBL_MAX_EXP DBL_MAX_EXP 40*4887Schin #endif 41*4887Schin 42*4887Schin #if defined(_ast_fltmax_exp_index) && defined(_ast_fltmax_exp_shift) 43*4887Schin 44*4887Schin #define INIT() _ast_fltmax_exp_t _pow_ 45*4887Schin #define pow2(i) (_pow_.f=1,_pow_.e[_ast_fltmax_exp_index]+=((i)<<_ast_fltmax_exp_shift),_pow_.f) 46*4887Schin 47*4887Schin #else 48*4887Schin 49*4887Schin static _ast_fltmax_t pow2tab[LDBL_MAX_EXP + 1]; 50*4887Schin 51*4887Schin static int 52*4887Schin init(void) 53*4887Schin { 54*4887Schin register int x; 55*4887Schin _ast_fltmax_t g; 56*4887Schin 57*4887Schin g = 1; 58*4887Schin for (x = 0; x < elementsof(pow2tab); x++) 59*4887Schin { 60*4887Schin pow2tab[x] = g; 61*4887Schin g *= 2; 62*4887Schin } 63*4887Schin return 0; 64*4887Schin } 65*4887Schin 66*4887Schin #define INIT() (pow2tab[0]?0:init()) 67*4887Schin 68*4887Schin #define pow2(i) (pow2tab[i]) 69*4887Schin 70*4887Schin #endif 71*4887Schin 72*4887Schin #if !_lib_frexpl 73*4887Schin 74*4887Schin #undef frexpl 75*4887Schin 76*4887Schin extern _ast_fltmax_t 77*4887Schin frexpl(_ast_fltmax_t f, int* p) 78*4887Schin { 79*4887Schin register int k; 80*4887Schin register int x; 81*4887Schin _ast_fltmax_t g; 82*4887Schin 83*4887Schin INIT(); 84*4887Schin 85*4887Schin /* 86*4887Schin * normalize 87*4887Schin */ 88*4887Schin 89*4887Schin x = k = LDBL_MAX_EXP / 2; 90*4887Schin if (f < 1) 91*4887Schin { 92*4887Schin g = 1.0L / f; 93*4887Schin for (;;) 94*4887Schin { 95*4887Schin k = (k + 1) / 2; 96*4887Schin if (g < pow2(x)) 97*4887Schin x -= k; 98*4887Schin else if (k == 1 && g < pow2(x+1)) 99*4887Schin break; 100*4887Schin else 101*4887Schin x += k; 102*4887Schin } 103*4887Schin if (g == pow2(x)) 104*4887Schin x--; 105*4887Schin x = -x; 106*4887Schin } 107*4887Schin else if (f > 1) 108*4887Schin { 109*4887Schin for (;;) 110*4887Schin { 111*4887Schin k = (k + 1) / 2; 112*4887Schin if (f > pow2(x)) 113*4887Schin x += k; 114*4887Schin else if (k == 1 && f > pow2(x-1)) 115*4887Schin break; 116*4887Schin else 117*4887Schin x -= k; 118*4887Schin } 119*4887Schin if (f == pow2(x)) 120*4887Schin x++; 121*4887Schin } 122*4887Schin else 123*4887Schin x = 1; 124*4887Schin *p = x; 125*4887Schin 126*4887Schin /* 127*4887Schin * shift 128*4887Schin */ 129*4887Schin 130*4887Schin x = -x; 131*4887Schin if (x < 0) 132*4887Schin f /= pow2(-x); 133*4887Schin else if (x < LDBL_MAX_EXP) 134*4887Schin f *= pow2(x); 135*4887Schin else 136*4887Schin f = (f * pow2(LDBL_MAX_EXP - 1)) * pow2(x - (LDBL_MAX_EXP - 1)); 137*4887Schin return f; 138*4887Schin } 139*4887Schin 140*4887Schin #endif 141*4887Schin 142*4887Schin #if !_lib_ldexpl 143*4887Schin 144*4887Schin #undef ldexpl 145*4887Schin 146*4887Schin extern _ast_fltmax_t 147*4887Schin ldexpl(_ast_fltmax_t f, register int x) 148*4887Schin { 149*4887Schin INIT(); 150*4887Schin if (x < 0) 151*4887Schin f /= pow2(-x); 152*4887Schin else if (x < LDBL_MAX_EXP) 153*4887Schin f *= pow2(x); 154*4887Schin else 155*4887Schin f = (f * pow2(LDBL_MAX_EXP - 1)) * pow2(x - (LDBL_MAX_EXP - 1)); 156*4887Schin return f; 157*4887Schin } 158*4887Schin 159*4887Schin #endif 160*4887Schin 161*4887Schin #endif 162