/* Test of splitting a double into fraction and mantissa. Copyright (C) 2007 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 2, 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, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. */ /* Written by Bruno Haible , 2007. */ #include #include #include #include #include #include "isnan.h" #define ASSERT(expr) \ do \ { \ if (!(expr)) \ { \ fprintf (stderr, "%s:%d: assertion failed\n", __FILE__, __LINE__); \ abort (); \ } \ } \ while (0) /* The Compaq (ex-DEC) C 6.4 compiler chokes on the expression 0.0 / 0.0. */ #ifdef __DECC static double NaN () { static double zero = 0.0; return zero / zero; } #else # define NaN() (0.0 / 0.0) #endif static double my_ldexp (double x, int d) { for (; d > 0; d--) x *= 2.0; for (; d < 0; d++) x *= 0.5; return x; } int main () { int i; /* The use of 'volatile' guarantees that excess precision bits are dropped when dealing with denormalized numbers. It is necessary on x86 systems where double-floats are not IEEE compliant by default, to avoid that the results become platform and compiler option dependent. 'volatile' is a portable alternative to gcc's -ffloat-store option. */ volatile double x; { /* NaN. */ int exp = -9999; double mantissa; x = NaN (); mantissa = frexp (x, &exp); ASSERT (isnan (mantissa)); } { /* Positive infinity. */ int exp = -9999; double mantissa; x = 1.0 / 0.0; mantissa = frexp (x, &exp); ASSERT (mantissa == x); } { /* Negative infinity. */ int exp = -9999; double mantissa; x = -1.0 / 0.0; mantissa = frexp (x, &exp); ASSERT (mantissa == x); } { /* Positive zero. */ int exp = -9999; double mantissa; x = 0.0; mantissa = frexp (x, &exp); ASSERT (exp == 0); ASSERT (mantissa == x); ASSERT (!signbit (mantissa)); } { /* Negative zero. */ int exp = -9999; double mantissa; x = -0.0; mantissa = frexp (x, &exp); ASSERT (exp == 0); ASSERT (mantissa == x); ASSERT (signbit (mantissa)); } for (i = 1, x = 1.0; i <= DBL_MAX_EXP; i++, x *= 2.0) { int exp = -9999; double mantissa = frexp (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.5); } for (i = 1, x = 1.0; i >= DBL_MIN_EXP; i--, x *= 0.5) { int exp = -9999; double mantissa = frexp (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.5); } for (; i >= DBL_MIN_EXP - 100 && x > 0.0; i--, x *= 0.5) { int exp = -9999; double mantissa = frexp (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.5); } for (i = 1, x = -1.0; i <= DBL_MAX_EXP; i++, x *= 2.0) { int exp = -9999; double mantissa = frexp (x, &exp); ASSERT (exp == i); ASSERT (mantissa == -0.5); } for (i = 1, x = -1.0; i >= DBL_MIN_EXP; i--, x *= 0.5) { int exp = -9999; double mantissa = frexp (x, &exp); ASSERT (exp == i); ASSERT (mantissa == -0.5); } for (; i >= DBL_MIN_EXP - 100 && x < 0.0; i--, x *= 0.5) { int exp = -9999; double mantissa = frexp (x, &exp); ASSERT (exp == i); ASSERT (mantissa == -0.5); } for (i = 1, x = 1.01; i <= DBL_MAX_EXP; i++, x *= 2.0) { int exp = -9999; double mantissa = frexp (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.505); } for (i = 1, x = 1.01; i >= DBL_MIN_EXP; i--, x *= 0.5) { int exp = -9999; double mantissa = frexp (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.505); } for (; i >= DBL_MIN_EXP - 100 && x > 0.0; i--, x *= 0.5) { int exp = -9999; double mantissa = frexp (x, &exp); ASSERT (exp == i); ASSERT (mantissa >= 0.5); ASSERT (mantissa < 1.0); ASSERT (mantissa == my_ldexp (x, - exp)); } for (i = 1, x = 1.73205; i <= DBL_MAX_EXP; i++, x *= 2.0) { int exp = -9999; double mantissa = frexp (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.866025); } for (i = 1, x = 1.73205; i >= DBL_MIN_EXP; i--, x *= 0.5) { int exp = -9999; double mantissa = frexp (x, &exp); ASSERT (exp == i); ASSERT (mantissa == 0.866025); } for (; i >= DBL_MIN_EXP - 100 && x > 0.0; i--, x *= 0.5) { int exp = -9999; double mantissa = frexp (x, &exp); ASSERT (exp == i || exp == i + 1); ASSERT (mantissa >= 0.5); ASSERT (mantissa < 1.0); ASSERT (mantissa == my_ldexp (x, - exp)); } return 0; }