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/* Determine some float parameters, much like gcc's "enquire.c". */ /* Bruno Haible 24.8.1996 */
/* This program expects to be compiled by an ANSI C or C++ compiler. */
#include <stdio.h>
#if !(defined(__STDC__) || defined(__cplusplus))
/* Only for use in function parameter lists and as function return type. */ #define void
#endif
typedef int boolean; #define TRUE 1
#define FALSE 0
#ifdef HAVE_LONGDOUBLE
typedef long double ldouble; #endif
static void header (void) { printf("/* Rounding modes, for use below */\n"); printf("#define rounds_to_nearest 0 /* 0.5 ulp */\n"); printf("#define rounds_to_zero 1 /* 1 ulp */\n"); printf("#define rounds_to_infinity 2 /* 1 ulp */\n"); printf("#define rounds_to_minus_infinity 3 /* 1 ulp */\n"); printf("\n"); }
#define check(type,typeprefix,typestr,equalfn,mainfn) \
static boolean equalfn (type* x, type* y); \ static void mainfn (void) \ { \ int mant_bits; \ int epsilon_bits = -1; \ int negepsilon_bits = -1; \ { type x = 1.0; type y; type z; \ for (y = 1.0; ; y = 0.5*y) \ { z = x + y; if (equalfn(&x,&z)) break; \ z = z - x; if (!equalfn(&y,&z)) break; \ epsilon_bits++; \ } } \ { type x = 1.0; type y; type z; \ for (y = -1.0; ; y = 0.5*y) \ { z = x + y; if (equalfn(&x,&z)) break; \ z = z - x; if (!equalfn(&y,&z)) break; \ negepsilon_bits++; \ } } \ printf("/* Properties of type `%s': */\n",typestr); \ printf("/* Largest n for which 1+2^(-n) is exactly represented is %d. */\n",epsilon_bits); \ printf("/* Largest n for which 1-2^(-n) is exactly represented is %d. */\n",negepsilon_bits); \ if (negepsilon_bits <= epsilon_bits) \ { printf("#error \"No exponent jump at 1.0 for type %s!\"\n",typestr); \ mant_bits = -1; \ } \ else \ { if (negepsilon_bits > epsilon_bits+1) \ printf("/* Base for type `%s' is 2^%d\n",typestr,negepsilon_bits-epsilon_bits); \ mant_bits = epsilon_bits+1; \ printf("#define %s_mant_bits %d\n",typeprefix,mant_bits); \ } \ { int i; type x, y1, y2, ys1, ys2, z1, z2, zs1, zs2; \ x = 1.0; for (i = 0; i < epsilon_bits; i++) { x = 0.5*x; } \ y1 = 1.0 + 5.0*x; y2 = 1.0 + 6.0*x; \ ys1 = 1.0 + 5.4*x; ys2 = 1.0 + 5.6*x; \ z1 = -1.0 + (-5.0)*x; z2 = -1.0 + (-6.0)*x; \ zs1 = -1.0 + (-5.4)*x; zs2 = -1.0 + (-5.6)*x; \ if (equalfn(&ys1,&y1) && equalfn(&ys2,&y2) && equalfn(&zs1,&z1) && equalfn(&zs2,&z2)) \ printf("#define %s_rounds rounds_to_nearest\n",typeprefix); \ else if (equalfn(&ys1,&y1) && equalfn(&ys2,&y1) && equalfn(&zs1,&z1) && equalfn(&zs2,&z1)) \ printf("#define %s_rounds rounds_to_zero\n",typeprefix); \ else if (equalfn(&ys1,&y2) && equalfn(&ys2,&y2) && equalfn(&zs1,&z1) && equalfn(&zs2,&z1)) \ printf("#define %s_rounds rounds_to_infinity\n",typeprefix); \ else if (equalfn(&ys1,&y1) && equalfn(&ys2,&y1) && equalfn(&zs1,&z2) && equalfn(&zs2,&z2)) \ printf("#define %s_rounds rounds_to_minus_infinity\n",typeprefix); \ else \ printf("#error \"Unknown rounding mode for type %s!\"\n",typestr); \ } \ printf("\n"); \ } \ static boolean equalfn (type* x, type* y) { return *x == *y; } \
check(float,"float","float",equal_float,main_float) check(double,"double","double",equal_double,main_double) #ifdef HAVE_LONGDOUBLE
check(ldouble,"long_double","long double",equal_ldouble,main_ldouble) #endif
int main() { header(); main_float(); main_double(); #ifdef HAVE_LONGDOUBLE
main_ldouble(); #endif
#if defined(__cplusplus)
if (ferror(stdout)) return 1; return 0; #else
if (ferror(stdout)) { exit(1); } exit(0); #endif
}
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