Mercurial > gnulib
view tests/test-log1p.h @ 40163:b89f4c441767
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* lib/unicase/u16-ct-casefold.c: Likewise.
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author | Bruno Haible <bruno@clisp.org> |
---|---|
date | Mon, 28 Jan 2019 01:20:11 +0100 |
parents | b06060465f09 |
children |
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/* Test of log1p*() function family. Copyright (C) 2012-2019 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 <https://www.gnu.org/licenses/>. */ static void test_function (void) { int i; int j; const DOUBLE TWO_MANT_DIG = /* Assume MANT_DIG <= 5 * 31. Use the identity n = floor(n/5) + floor((n+1)/5) + ... + floor((n+4)/5). */ (DOUBLE) (1U << ((MANT_DIG - 1) / 5)) * (DOUBLE) (1U << ((MANT_DIG - 1 + 1) / 5)) * (DOUBLE) (1U << ((MANT_DIG - 1 + 2) / 5)) * (DOUBLE) (1U << ((MANT_DIG - 1 + 3) / 5)) * (DOUBLE) (1U << ((MANT_DIG - 1 + 4) / 5)); /* Pole. */ { DOUBLE z = LOG1P (L_(-1.0)); ASSERT (z == - HUGEVAL); } /* Randomized tests. */ { /* Error bound, in ulps. */ const DOUBLE err_bound = (sizeof (DOUBLE) > sizeof (double) ? #if defined __i386__ && defined __FreeBSD__ /* On FreeBSD/x86 6.4, the 'long double' type really has only 53 bits of precision in the compiler but 64 bits of precision at runtime. See <https://lists.gnu.org/r/bug-gnulib/2008-07/msg00063.html>. The compiler has truncated all 'long double' literals in log1pl.c to 53 bits of precision. */ L_(900.0) #else L_(26.0) #endif : L_(13.0)); for (i = 0; i < SIZEOF (RANDOM); i++) { DOUBLE x = L_(16.0) * RANDOM[i]; /* 0.0 <= x <= 16.0 */ DOUBLE y = LOG1P (x); DOUBLE z = LOG1P (- x / (L_(1.0) + x)); DOUBLE err = y + z; ASSERT (y >= L_(0.0)); ASSERT (z <= L_(0.0)); ASSERT (err > - err_bound / TWO_MANT_DIG && err < err_bound / TWO_MANT_DIG); } } { /* Error bound, in ulps. */ const DOUBLE err_bound = (sizeof (DOUBLE) > sizeof (double) ? #if defined __i386__ && defined __FreeBSD__ /* On FreeBSD/x86 6.4, the 'long double' type really has only 53 bits of precision in the compiler but 64 bits of precision at runtime. See <https://lists.gnu.org/r/bug-gnulib/2008-07/msg00063.html>. The compiler has truncated all 'long double' literals in log1pl.c to 53 bits of precision. */ L_(1020.0) #else L_(65.0) #endif : L_(61.0)); for (i = 0; i < SIZEOF (RANDOM) / 5; i++) for (j = 0; j < SIZEOF (RANDOM) / 5; j++) { DOUBLE x = L_(17.0) / (L_(16.0) - L_(15.0) * RANDOM[i]) - L_(2.0); DOUBLE y = L_(17.0) / (L_(16.0) - L_(15.0) * RANDOM[j]) - L_(2.0); /* -15/16 <= x,y <= 15 */ DOUBLE z = L_(1.0) / ((L_(1.0) + x) * (L_(1.0) + y)) - L_(1.0); /* Approximately (1+x) * (1+y) * (1+z) = 1. */ DOUBLE err = LOG1P (x) + LOG1P (y) + LOG1P (z); ASSERT (err > - err_bound / TWO_MANT_DIG && err < err_bound / TWO_MANT_DIG); } } } volatile DOUBLE x; DOUBLE y;