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 * frexp/ldexp implementation 26*4887Schin */ 27*4887Schin 28*4887Schin #include <ast.h> 29*4887Schin 30*4887Schin #include "FEATURE/float" 31*4887Schin 32*4887Schin #if _lib_frexp && _lib_ldexp 33*4887Schin 34*4887Schin NoN(frexp) 35*4887Schin 36*4887Schin #else 37*4887Schin 38*4887Schin #if defined(_ast_dbl_exp_index) && defined(_ast_dbl_exp_shift) 39*4887Schin 40*4887Schin #define INIT() _ast_dbl_exp_t _pow_ 41*4887Schin #define pow2(i) (_pow_.f=1,_pow_.e[_ast_dbl_exp_index]+=((i)<<_ast_dbl_exp_shift),_pow_.f) 42*4887Schin 43*4887Schin #else 44*4887Schin 45*4887Schin static double pow2tab[DBL_MAX_EXP + 1]; 46*4887Schin 47*4887Schin static int 48*4887Schin init(void) 49*4887Schin { 50*4887Schin register int x; 51*4887Schin double g; 52*4887Schin 53*4887Schin g = 1; 54*4887Schin for (x = 0; x < elementsof(pow2tab); x++) 55*4887Schin { 56*4887Schin pow2tab[x] = g; 57*4887Schin g *= 2; 58*4887Schin } 59*4887Schin return 0; 60*4887Schin } 61*4887Schin 62*4887Schin #define INIT() (pow2tab[0]?0:init()) 63*4887Schin 64*4887Schin #define pow2(i) pow2tab[i] 65*4887Schin 66*4887Schin #endif 67*4887Schin 68*4887Schin #if !_lib_frexp 69*4887Schin 70*4887Schin extern double 71*4887Schin frexp(double f, int* p) 72*4887Schin { 73*4887Schin register int k; 74*4887Schin register int x; 75*4887Schin double g; 76*4887Schin 77*4887Schin INIT(); 78*4887Schin 79*4887Schin /* 80*4887Schin * normalize 81*4887Schin */ 82*4887Schin 83*4887Schin x = k = DBL_MAX_EXP / 2; 84*4887Schin if (f < 1) 85*4887Schin { 86*4887Schin g = 1.0L / f; 87*4887Schin for (;;) 88*4887Schin { 89*4887Schin k = (k + 1) / 2; 90*4887Schin if (g < pow2(x)) 91*4887Schin x -= k; 92*4887Schin else if (k == 1 && g < pow2(x+1)) 93*4887Schin break; 94*4887Schin else 95*4887Schin x += k; 96*4887Schin } 97*4887Schin if (g == pow2(x)) 98*4887Schin x--; 99*4887Schin x = -x; 100*4887Schin } 101*4887Schin else if (f > 1) 102*4887Schin { 103*4887Schin for (;;) 104*4887Schin { 105*4887Schin k = (k + 1) / 2; 106*4887Schin if (f > pow2(x)) 107*4887Schin x += k; 108*4887Schin else if (k == 1 && f > pow2(x-1)) 109*4887Schin break; 110*4887Schin else 111*4887Schin x -= k; 112*4887Schin } 113*4887Schin if (f == pow2(x)) 114*4887Schin x++; 115*4887Schin } 116*4887Schin else 117*4887Schin x = 1; 118*4887Schin *p = x; 119*4887Schin 120*4887Schin /* 121*4887Schin * shift 122*4887Schin */ 123*4887Schin 124*4887Schin x = -x; 125*4887Schin if (x < 0) 126*4887Schin f /= pow2(-x); 127*4887Schin else if (x < DBL_MAX_EXP) 128*4887Schin f *= pow2(x); 129*4887Schin else 130*4887Schin f = (f * pow2(DBL_MAX_EXP - 1)) * pow2(x - (DBL_MAX_EXP - 1)); 131*4887Schin return f; 132*4887Schin } 133*4887Schin 134*4887Schin #endif 135*4887Schin 136*4887Schin #if !_lib_ldexp 137*4887Schin 138*4887Schin extern double 139*4887Schin ldexp(double f, register int x) 140*4887Schin { 141*4887Schin INIT(); 142*4887Schin if (x < 0) 143*4887Schin f /= pow2(-x); 144*4887Schin else if (x < DBL_MAX_EXP) 145*4887Schin f *= pow2(x); 146*4887Schin else 147*4887Schin f = (f * pow2(DBL_MAX_EXP - 1)) * pow2(x - (DBL_MAX_EXP - 1)); 148*4887Schin return f; 149*4887Schin } 150*4887Schin 151*4887Schin #endif 152*4887Schin 153*4887Schin #endif 154