/* Test of splitting a 'long double' into fraction and mantissa. Copyright (C) 2007-2009 Free Software Foundation, Inc. This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see . */ /* Written by Bruno Haible , 2007. */ #include #include #include #include #include #include "fpucw.h" #include "isnanl-nolibm.h" #include "nan.h" /* Avoid some warnings from "gcc -Wshadow". This file doesn't use the exp() function. */ #undef exp #define exp exponent #define ASSERT(expr) \ do \ { \ if (!(expr)) \ { \ fprintf (stderr, "%s:%d: assertion failed\n", __FILE__, __LINE__); \ fflush (stderr); \ abort (); \ } \ } \ while (0) /* On MIPS IRIX machines, LDBL_MIN_EXP is -1021, but the smallest reliable exponent for 'long double' is -964. Similarly, on PowerPC machines, LDBL_MIN_EXP is -1021, but the smallest reliable exponent for 'long double' is -968. For exponents below that, the precision may be truncated to the precision used for 'double'. */ #ifdef __sgi # define MIN_NORMAL_EXP (LDBL_MIN_EXP + 57) #elif defined __ppc || defined __ppc__ || defined __powerpc || defined __powerpc__ # define MIN_NORMAL_EXP (LDBL_MIN_EXP + 53) #else # define MIN_NORMAL_EXP LDBL_MIN_EXP #endif /* On HP-UX 10.20, negating 0.0L does not yield -0.0L. So we use minus_zero instead. IRIX cc can't put -0.0L into .data, but can compute at runtime. Note that the expression -LDBL_MIN * LDBL_MIN does not work on other platforms, such as when cross-compiling to PowerPC on MacOS X 10.5. */ #if defined __hpux || defined __sgi static long double compute_minus_zero (void) { return -LDBL_MIN * LDBL_MIN; } # define minus_zero compute_minus_zero () #else long double minus_zero = -0.0L; #endif static long double my_ldexp (long double x, int d) { for (; d > 0; d--) x *= 2.0L; for (; d < 0; d++) x *= 0.5L; return x; } int main () { int i; long double x; DECL_LONG_DOUBLE_ROUNDING BEGIN_LONG_DOUBLE_ROUNDING (); { /* NaN. */ int exp = -9999; long double mantissa; x = NaNl (); mantissa = frexpl (x, &exp); ASSERT (isnanl (mantissa)); } { /* Positive infinity. */ int exp = -9999; long double mantissa; x = 1.0L / 0.0L; mantissa = frexpl (x, &exp); ASSERT (mantissa == x); } { /* Negative infinity. */ int exp = -9999; long double mantissa; x = -1.0L / 0.0L; mantissa = frexpl (x, &exp); ASSERT (mantissa == x); } { /* Positive zero. */ int exp = -9999; long double mantissa; x = 0.0L; mantissa = frexpl (x, &exp); ASSERT (exp == 0); ASSERT (mantissa == x); ASSERT (!signbit (mantissa)); } { /* Negative zero. */ int exp = -9999; long double mantissa; x = minus_zero; mantissa = frexpl (x, &exp); ASSERT (exp == 0); ASSERT (mantissa == x); ASSERT (signbit (mantissa)); } for (i = 1, x = 1.0L; i <= LDBL_MAX_EXP; i++, x *= 2.0L) { int exp = -9999; long double mantissa = frexpl (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.5L); } for (i = 1, x = 1.0L; i >= MIN_NORMAL_EXP; i--, x *= 0.5L) { int exp = -9999; long double mantissa = frexpl (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.5L); } for (; i >= LDBL_MIN_EXP - 100 && x > 0.0L; i--, x *= 0.5L) { int exp = -9999; long double mantissa = frexpl (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.5L); } for (i = 1, x = -1.0L; i <= LDBL_MAX_EXP; i++, x *= 2.0L) { int exp = -9999; long double mantissa = frexpl (x, &exp); ASSERT (exp == i); ASSERT (mantissa == -0.5L); } for (i = 1, x = -1.0L; i >= MIN_NORMAL_EXP; i--, x *= 0.5L) { int exp = -9999; long double mantissa = frexpl (x, &exp); ASSERT (exp == i); ASSERT (mantissa == -0.5L); } for (; i >= LDBL_MIN_EXP - 100 && x < 0.0L; i--, x *= 0.5L) { int exp = -9999; long double mantissa = frexpl (x, &exp); ASSERT (exp == i); ASSERT (mantissa == -0.5L); } for (i = 1, x = 1.01L; i <= LDBL_MAX_EXP; i++, x *= 2.0L) { int exp = -9999; long double mantissa = frexpl (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.505L); } for (i = 1, x = 1.01L; i >= MIN_NORMAL_EXP; i--, x *= 0.5L) { int exp = -9999; long double mantissa = frexpl (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.505L); } for (; i >= LDBL_MIN_EXP - 100 && x > 0.0L; i--, x *= 0.5L) { int exp = -9999; long double mantissa = frexpl (x, &exp); ASSERT (exp == i); ASSERT (mantissa >= 0.5L); ASSERT (mantissa < 1.0L); ASSERT (mantissa == my_ldexp (x, - exp)); } for (i = 1, x = 1.73205L; i <= LDBL_MAX_EXP; i++, x *= 2.0L) { int exp = -9999; long double mantissa = frexpl (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.866025L); } for (i = 1, x = 1.73205L; i >= MIN_NORMAL_EXP; i--, x *= 0.5L) { int exp = -9999; long double mantissa = frexpl (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.866025L); } for (; i >= LDBL_MIN_EXP - 100 && x > 0.0L; i--, x *= 0.5L) { int exp = -9999; long double mantissa = frexpl (x, &exp); ASSERT (exp == i || exp == i + 1); ASSERT (mantissa >= 0.5L); ASSERT (mantissa < 1.0L); ASSERT (mantissa == my_ldexp (x, - exp)); } return 0; }