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Diffstat (limited to 'gsl-1.9/ieee-utils/test.c')
-rw-r--r-- | gsl-1.9/ieee-utils/test.c | 482 |
1 files changed, 482 insertions, 0 deletions
diff --git a/gsl-1.9/ieee-utils/test.c b/gsl-1.9/ieee-utils/test.c new file mode 100644 index 0000000..3af8187 --- /dev/null +++ b/gsl-1.9/ieee-utils/test.c @@ -0,0 +1,482 @@ +/* ieee-utils/test.c + * + * Copyright (C) 1996, 1997, 1998, 1999, 2000 Brian Gough + * + * 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 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, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. + */ + +#include <config.h> +#include <stdlib.h> +#include <math.h> +#include <float.h> +#include <string.h> +#include <gsl/gsl_ieee_utils.h> +#include <gsl/gsl_test.h> + +#if HAVE_IRIX_IEEE_INTERFACE +/* don't test denormals on IRIX */ +#else +#if HAVE_IEEE_DENORMALS +#define TEST_DENORMAL 1 +#endif +#endif + +#ifndef FLT_MIN +#define FLT_MIN 1.17549435e-38f +#endif + +#ifndef FLT_MAX +#define FLT_MAX 3.40282347e+38f +#endif + +#ifndef DBL_MIN +#define DBL_MIN 2.2250738585072014e-308 +#endif + +#ifndef DBL_MAX +#define DBL_MAX 1.7976931348623157e+308 +#endif + +int +main (void) +{ + float zerof = 0.0f, minus_onef = -1.0f ; + double zero = 0.0, minus_one = -1.0 ; + + /* Check for +ZERO (float) */ + + { + float f = 0.0f; + const char mantissa[] = "00000000000000000000000"; + gsl_ieee_float_rep r; + gsl_ieee_float_to_rep (&f, &r); + + gsl_test_int (r.sign, 0, "float x = 0, sign is +"); + gsl_test_int (r.exponent, -127, "float x = 0, exponent is -127"); + gsl_test_str (r.mantissa, mantissa, "float x = 0, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_ZERO, "float x = 0, type is ZERO"); + } + + /* Check for -ZERO (float) */ + + { + float f = minus_onef; + const char mantissa[] = "00000000000000000000000"; + gsl_ieee_float_rep r; + + while (f < 0) { + f *= 0.1f; + } + + gsl_ieee_float_to_rep (&f, &r); + + gsl_test_int (r.sign, 1, "float x = -1*0, sign is -"); + gsl_test_int (r.exponent, -127, "float x = -1*0, exponent is -127"); + gsl_test_str (r.mantissa, mantissa, "float x = -1*0, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_ZERO, "float x = -1*0, type is ZERO"); + } + + /* Check for a positive NORMAL number (e.g. 2.1) (float) */ + + { + float f = 2.1f; + const char mantissa[] = "00001100110011001100110"; + + gsl_ieee_float_rep r; + gsl_ieee_float_to_rep (&f, &r); + + gsl_test_int (r.sign, 0, "float x = 2.1, sign is +"); + gsl_test_int (r.exponent, 1, "float x = 2.1, exponent is 1"); + gsl_test_str (r.mantissa, mantissa, "float x = 2.1, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NORMAL, "float x = 2.1, type is NORMAL"); + } + + + /* Check for a negative NORMAL number (e.g. -1.3304...) (float) */ + + { + float f = -1.3303577090924210f ; + const char mantissa[] = "01010100100100100101001"; + + gsl_ieee_float_rep r; + gsl_ieee_float_to_rep (&f, &r); + + gsl_test_int (r.sign, 1, "float x = -1.3304..., sign is -"); + gsl_test_int (r.exponent, 0, "float x = -1.3304..., exponent is 0"); + gsl_test_str (r.mantissa, mantissa, "float x = -1.3304..., mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NORMAL, + "float x = -1.3304..., type is NORMAL"); + } + + /* Check for a large positive NORMAL number (e.g. 3.37e31) (float) */ + + { + float f = 3.37e31f; + const char mantissa[] = "10101001010110101001001"; + gsl_ieee_float_rep r; + gsl_ieee_float_to_rep (&f, &r); + + gsl_test_int (r.sign, 0, "float x = 3.37e31, sign is +"); + gsl_test_int (r.exponent, 104, "float x = 3.37e31, exponent is 104"); + gsl_test_str (r.mantissa, mantissa, "float x = 3.37e31, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NORMAL, "float x = 3.37e31, type is NORMAL"); + } + + /* Check for a small positive NORMAL number (e.g. 3.37e-31) (float) */ + + { + float f = 3.37e-31f; + const char mantissa[] = "10110101011100110111011"; + + gsl_ieee_float_rep r; + gsl_ieee_float_to_rep (&f, &r); + + gsl_test_int (r.sign, 0, "float x = 3.37e-31, sign is +"); + gsl_test_int (r.exponent, -102, "float x = 3.37e-31, exponent is -102"); + gsl_test_str (r.mantissa, mantissa, "float x = 3.37e-31, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NORMAL, + "float x = 3.37e-31, type is NORMAL"); + } + + /* Check for FLT_MIN (smallest possible number that is not denormal) */ + + { + float f = FLT_MIN; + const char mantissa[] = "00000000000000000000000"; + gsl_ieee_float_rep r; + gsl_ieee_float_to_rep (&f, &r); + + gsl_test_int (r.sign, 0, "float x = FLT_MIN, sign is +"); + gsl_test_int (r.exponent, -126, "float x = FLT_MIN, exponent is -126"); + gsl_test_str (r.mantissa, mantissa, "float x = FLT_MIN, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NORMAL, "float x = FLT_MIN, type is NORMAL"); + } + + /* Check for FLT_MAX (largest possible number that is not Inf) */ + + { + float f = FLT_MAX; + const char mantissa[] = "11111111111111111111111"; + + gsl_ieee_float_rep r; + gsl_ieee_float_to_rep (&f, &r); + + gsl_test_int (r.sign, 0, "float x = FLT_MAX, sign is +"); + gsl_test_int (r.exponent, 127, "float x = FLT_MAX, exponent is 127"); + gsl_test_str (r.mantissa, mantissa, "float x = FLT_MAX, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NORMAL, "float x = FLT_MAX, type is NORMAL"); + } + + + /* Check for DENORMAL numbers (e.g. FLT_MIN/2^n) */ + +#ifdef TEST_DENORMAL + { + float f = FLT_MIN; + char mantissa[] = "10000000000000000000000"; + + int i; + gsl_ieee_float_rep r; + + for (i = 0; i < 23; i++) + { + float x = f / (float)pow (2.0, 1 + (float) i); + mantissa[i] = '1'; + gsl_ieee_float_to_rep (&x, &r); + + gsl_test_int (r.sign, 0, "float x = FLT_MIN/2^%d, sign is +", i + 1); + gsl_test_int (r.exponent, -127, + "float x = FLT_MIN/2^%d, exponent is -127", i + 1); + gsl_test_str (r.mantissa, mantissa, + "float x = FLT_MIN/2^%d, mantissa", i + 1); + gsl_test_int (r.type, GSL_IEEE_TYPE_DENORMAL, + "float x = FLT_MIN/2^%d, type is DENORMAL", i + 1); + mantissa[i] = '0'; + } + } +#endif + + /* Check for positive INFINITY (e.g. 2*FLT_MAX) */ + + { + float f = FLT_MAX; + const char mantissa[] = "00000000000000000000000"; + + gsl_ieee_float_rep r; + + float x; + x = 2 * f; + gsl_ieee_float_to_rep (&x, &r); + + gsl_test_int (r.sign, 0, "float x = 2*FLT_MAX, sign is +"); + gsl_test_int (r.exponent, 128, "float x = 2*FLT_MAX, exponent is 128"); + gsl_test_str (r.mantissa, mantissa, "float x = 2*FLT_MAX, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_INF, "float x = -2*FLT_MAX, type is INF"); + } + + /* Check for negative INFINITY (e.g. -2*FLT_MAX) */ + + { + float f = FLT_MAX; + const char mantissa[] = "00000000000000000000000"; + + gsl_ieee_float_rep r; + + float x; + x = -2 * f; + gsl_ieee_float_to_rep (&x, &r); + + gsl_test_int (r.sign, 1, "float x = -2*FLT_MAX, sign is -"); + gsl_test_int (r.exponent, 128, "float x = -2*FLT_MAX, exponent is 128"); + gsl_test_str (r.mantissa, mantissa, "float x = -2*FLT_MAX, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_INF, "float x = -2*FLT_MAX, type is INF"); + } + + /* Check for NAN (e.g. Inf - Inf) (float) */ + + { + gsl_ieee_float_rep r; + float x = 1.0f, y = 2.0f, z = zerof; + + x = x / z; + y = y / z; + z = y - x; + + gsl_ieee_float_to_rep (&z, &r); + + /* We don't check the sign and we don't check the mantissa because + they could be anything for a NaN */ + + gsl_test_int (r.exponent, 128, "float x = NaN, exponent is 128"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NAN, "float x = NaN, type is NAN"); + } + + + /* Check for +ZERO */ + + { + double d = 0.0; + const char mantissa[] + = "0000000000000000000000000000000000000000000000000000"; + gsl_ieee_double_rep r; + gsl_ieee_double_to_rep (&d, &r); + + gsl_test_int (r.sign, 0, "double x = 0, sign is +"); + gsl_test_int (r.exponent, -1023, "double x = 0, exponent is -1023"); + gsl_test_str (r.mantissa, mantissa, "double x = 0, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_ZERO, "double x = 0, type is ZERO"); + } + + /* Check for -ZERO */ + + { + double d = minus_one; + const char mantissa[] + = "0000000000000000000000000000000000000000000000000000"; + gsl_ieee_double_rep r; + + while (d < 0) { + d *= 0.1; + } + + gsl_ieee_double_to_rep (&d, &r); + + gsl_test_int (r.sign, 1, "double x = -1*0, sign is -"); + gsl_test_int (r.exponent, -1023, "double x = -1*0, exponent is -1023"); + gsl_test_str (r.mantissa, mantissa, "double x = -1*0, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_ZERO, "double x = -1*0, type is ZERO"); + } + + /* Check for a positive NORMAL number (e.g. 2.1) */ + + { + double d = 2.1; + const char mantissa[] + = "0000110011001100110011001100110011001100110011001101"; + gsl_ieee_double_rep r; + gsl_ieee_double_to_rep (&d, &r); + + gsl_test_int (r.sign, 0, "double x = 2.1, sign is +"); + gsl_test_int (r.exponent, 1, "double x = 2.1, exponent is 1"); + gsl_test_str (r.mantissa, mantissa, "double x = 2.1, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NORMAL, "double x = 2.1, type is NORMAL"); + } + + + /* Check for a negative NORMAL number (e.g. -1.3304...) */ + + { + double d = -1.3303577090924210146738460025517269968986511230468750; + const char mantissa[] + = "0101010010010010010100101010010010001000100011101110"; + gsl_ieee_double_rep r; + gsl_ieee_double_to_rep (&d, &r); + + gsl_test_int (r.sign, 1, "double x = -1.3304..., sign is -"); + gsl_test_int (r.exponent, 0, "double x = -1.3304..., exponent is 0"); + gsl_test_str (r.mantissa, mantissa, "double x = -1.3304..., mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NORMAL, + "double x = -1.3304..., type is NORMAL"); + } + + /* Check for a large positive NORMAL number (e.g. 3.37e297) */ + + { + double d = 3.37e297; + const char mantissa[] + = "0100100111001001100101111001100000100110011101000100"; + gsl_ieee_double_rep r; + gsl_ieee_double_to_rep (&d, &r); + + gsl_test_int (r.sign, 0, "double x = 3.37e297, sign is +"); + gsl_test_int (r.exponent, 988, "double x = 3.37e297, exponent is 998"); + gsl_test_str (r.mantissa, mantissa, "double x = 3.37e297, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NORMAL, + "double x = 3.37e297, type is NORMAL"); + } + + /* Check for a small positive NORMAL number (e.g. 3.37e-297) */ + + { + double d = 3.37e-297; + const char mantissa[] + = "0001101000011011101011100001110010100001001100110111"; + gsl_ieee_double_rep r; + gsl_ieee_double_to_rep (&d, &r); + + gsl_test_int (r.sign, 0, "double x = 3.37e-297, sign is +"); + gsl_test_int (r.exponent, -985, "double x = 3.37e-297, exponent is -985"); + gsl_test_str (r.mantissa, mantissa, "double x = 3.37e-297, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NORMAL, + "double x = 3.37e-297, type is NORMAL"); + } + + /* Check for DBL_MIN (smallest possible number that is not denormal) */ + + { + double d = DBL_MIN; + const char mantissa[] + = "0000000000000000000000000000000000000000000000000000"; + gsl_ieee_double_rep r; + gsl_ieee_double_to_rep (&d, &r); + + gsl_test_int (r.sign, 0, "double x = DBL_MIN, sign is +"); + gsl_test_int (r.exponent, -1022, "double x = DBL_MIN, exponent is -1022"); + gsl_test_str (r.mantissa, mantissa, "double x = DBL_MIN, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NORMAL, + "double x = DBL_MIN, type is NORMAL"); + } + + /* Check for DBL_MAX (largest possible number that is not Inf) */ + + { + double d = DBL_MAX; + const char mantissa[] + = "1111111111111111111111111111111111111111111111111111"; + gsl_ieee_double_rep r; + gsl_ieee_double_to_rep (&d, &r); + + gsl_test_int (r.sign, 0, "double x = DBL_MAX, sign is +"); + gsl_test_int (r.exponent, 1023, "double x = DBL_MAX, exponent is 1023"); + gsl_test_str (r.mantissa, mantissa, "double x = DBL_MAX, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NORMAL, + "double x = DBL_MAX, type is NORMAL"); + } + + /* Check for DENORMAL numbers (e.g. DBL_MIN/2^n) */ + +#ifdef TEST_DENORMAL + { + double d = DBL_MIN; + char mantissa[] + = "1000000000000000000000000000000000000000000000000000"; + int i; + gsl_ieee_double_rep r; + + for (i = 0; i < 52; i++) + { + double x = d / pow (2.0, 1 + (double) i); + mantissa[i] = '1'; + gsl_ieee_double_to_rep (&x, &r); + + gsl_test_int (r.sign, 0, "double x = DBL_MIN/2^%d, sign is +", i + 1); + gsl_test_int (r.exponent, -1023, + "double x = DBL_MIN/2^%d, exponent", i + 1); + gsl_test_str (r.mantissa, mantissa, + "double x = DBL_MIN/2^%d, mantissa", i + 1); + gsl_test_int (r.type, GSL_IEEE_TYPE_DENORMAL, + "double x = DBL_MIN/2^%d, type is DENORMAL", i + 1); + mantissa[i] = '0'; + } + } +#endif + + /* Check for positive INFINITY (e.g. 2*DBL_MAX) */ + + { + double d = DBL_MAX; + const char mantissa[] + = "0000000000000000000000000000000000000000000000000000"; + gsl_ieee_double_rep r; + + double x; + x = 2.0 * d; + gsl_ieee_double_to_rep (&x, &r); + + gsl_test_int (r.sign, 0, "double x = 2*DBL_MAX, sign is +"); + gsl_test_int (r.exponent, 1024, "double x = 2*DBL_MAX, exponent is 1024"); + gsl_test_str (r.mantissa, mantissa, "double x = 2*DBL_MAX, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_INF, "double x = 2*DBL_MAX, type is INF"); + } + + /* Check for negative INFINITY (e.g. -2*DBL_MAX) */ + + { + double d = DBL_MAX; + const char mantissa[] + = "0000000000000000000000000000000000000000000000000000"; + gsl_ieee_double_rep r; + + double x; + x = -2.0 * d; + gsl_ieee_double_to_rep (&x, &r); + + gsl_test_int (r.sign, 1, "double x = -2*DBL_MAX, sign is -"); + gsl_test_int (r.exponent, 1024, "double x = -2*DBL_MAX, exponent is 1024"); + gsl_test_str (r.mantissa, mantissa, "double x = -2*DBL_MAX, mantissa"); + gsl_test_int (r.type, GSL_IEEE_TYPE_INF,"double x = -2*DBL_MAX, type is INF"); + } + + /* Check for NAN (e.g. Inf - Inf) */ + + { + gsl_ieee_double_rep r; + double x = 1.0, y = 2.0, z = zero; + + x = x / z; + y = y / z; + z = y - x; + + gsl_ieee_double_to_rep (&z, &r); + + /* We don't check the sign and we don't check the mantissa because + they could be anything for a NaN */ + + gsl_test_int (r.exponent, 1024, "double x = NaN, exponent is 1024"); + gsl_test_int (r.type, GSL_IEEE_TYPE_NAN, "double x = NaN, type is NAN"); + } + + exit (gsl_test_summary ()); +} |