Mercurial > gnulib
annotate tests/test-log1p.h @ 40057:b06060465f09
maint: Run 'make update-copyright'
| author | Paul Eggert <eggert@cs.ucla.edu> |
|---|---|
| date | Tue, 01 Jan 2019 00:25:11 +0100 |
| parents | 10eb9086bea0 |
| children |
| rev | line source |
|---|---|
| 16656 | 1 /* Test of log1p*() function family. |
|
40057
b06060465f09
maint: Run 'make update-copyright'
Paul Eggert <eggert@cs.ucla.edu>
parents:
19484
diff
changeset
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2 Copyright (C) 2012-2019 Free Software Foundation, Inc. |
| 16656 | 3 |
| 4 This program is free software: you can redistribute it and/or modify | |
| 5 it under the terms of the GNU General Public License as published by | |
| 6 the Free Software Foundation; either version 3 of the License, or | |
| 7 (at your option) any later version. | |
| 8 | |
| 9 This program is distributed in the hope that it will be useful, | |
| 10 but WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 11 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
| 12 GNU General Public License for more details. | |
| 13 | |
| 14 You should have received a copy of the GNU General Public License | |
| 19190 | 15 along with this program. If not, see <https://www.gnu.org/licenses/>. */ |
| 16656 | 16 |
| 17 static void | |
| 18 test_function (void) | |
| 19 { | |
| 20 int i; | |
| 21 int j; | |
| 22 const DOUBLE TWO_MANT_DIG = | |
| 23 /* Assume MANT_DIG <= 5 * 31. | |
| 24 Use the identity | |
| 25 n = floor(n/5) + floor((n+1)/5) + ... + floor((n+4)/5). */ | |
| 26 (DOUBLE) (1U << ((MANT_DIG - 1) / 5)) | |
| 27 * (DOUBLE) (1U << ((MANT_DIG - 1 + 1) / 5)) | |
| 28 * (DOUBLE) (1U << ((MANT_DIG - 1 + 2) / 5)) | |
| 29 * (DOUBLE) (1U << ((MANT_DIG - 1 + 3) / 5)) | |
| 30 * (DOUBLE) (1U << ((MANT_DIG - 1 + 4) / 5)); | |
| 31 | |
| 32 /* Pole. */ | |
| 33 { | |
| 34 DOUBLE z = LOG1P (L_(-1.0)); | |
| 35 ASSERT (z == - HUGEVAL); | |
| 36 } | |
| 37 | |
| 38 /* Randomized tests. */ | |
| 39 { | |
| 40 /* Error bound, in ulps. */ | |
| 41 const DOUBLE err_bound = | |
| 42 (sizeof (DOUBLE) > sizeof (double) ? | |
| 43 #if defined __i386__ && defined __FreeBSD__ | |
| 44 /* On FreeBSD/x86 6.4, the 'long double' type really has only 53 bits of | |
| 45 precision in the compiler but 64 bits of precision at runtime. See | |
|
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46 <https://lists.gnu.org/r/bug-gnulib/2008-07/msg00063.html>. |
| 16656 | 47 The compiler has truncated all 'long double' literals in log1pl.c to |
| 48 53 bits of precision. */ | |
| 49 L_(900.0) | |
| 50 #else | |
| 51 L_(26.0) | |
| 52 #endif | |
| 53 : L_(13.0)); | |
| 54 | |
| 55 for (i = 0; i < SIZEOF (RANDOM); i++) | |
| 56 { | |
| 57 DOUBLE x = L_(16.0) * RANDOM[i]; /* 0.0 <= x <= 16.0 */ | |
| 58 DOUBLE y = LOG1P (x); | |
| 59 DOUBLE z = LOG1P (- x / (L_(1.0) + x)); | |
| 60 DOUBLE err = y + z; | |
| 61 ASSERT (y >= L_(0.0)); | |
| 62 ASSERT (z <= L_(0.0)); | |
| 63 ASSERT (err > - err_bound / TWO_MANT_DIG | |
| 64 && err < err_bound / TWO_MANT_DIG); | |
| 65 } | |
| 66 } | |
| 67 | |
| 68 { | |
| 69 /* Error bound, in ulps. */ | |
| 70 const DOUBLE err_bound = | |
| 71 (sizeof (DOUBLE) > sizeof (double) ? | |
| 72 #if defined __i386__ && defined __FreeBSD__ | |
| 73 /* On FreeBSD/x86 6.4, the 'long double' type really has only 53 bits of | |
| 74 precision in the compiler but 64 bits of precision at runtime. See | |
|
19439
8bfc20b57265
maint: shorten https://lists.gnu.org/archive/html/... links
Jim Meyering <meyering@fb.com>
parents:
19192
diff
changeset
|
75 <https://lists.gnu.org/r/bug-gnulib/2008-07/msg00063.html>. |
| 16656 | 76 The compiler has truncated all 'long double' literals in log1pl.c to |
| 77 53 bits of precision. */ | |
| 78 L_(1020.0) | |
| 79 #else | |
| 80 L_(65.0) | |
| 81 #endif | |
| 82 : L_(61.0)); | |
| 83 | |
|
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log1p* tests: Reduce running time of tests.
Bruno Haible <bruno@clisp.org>
parents:
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diff
changeset
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84 for (i = 0; i < SIZEOF (RANDOM) / 5; i++) |
|
b35866abe7d5
log1p* tests: Reduce running time of tests.
Bruno Haible <bruno@clisp.org>
parents:
16656
diff
changeset
|
85 for (j = 0; j < SIZEOF (RANDOM) / 5; j++) |
| 16656 | 86 { |
| 87 DOUBLE x = L_(17.0) / (L_(16.0) - L_(15.0) * RANDOM[i]) - L_(2.0); | |
| 88 DOUBLE y = L_(17.0) / (L_(16.0) - L_(15.0) * RANDOM[j]) - L_(2.0); | |
| 89 /* -15/16 <= x,y <= 15 */ | |
| 90 DOUBLE z = L_(1.0) / ((L_(1.0) + x) * (L_(1.0) + y)) - L_(1.0); | |
| 91 /* Approximately (1+x) * (1+y) * (1+z) = 1. */ | |
| 92 DOUBLE err = LOG1P (x) + LOG1P (y) + LOG1P (z); | |
| 93 ASSERT (err > - err_bound / TWO_MANT_DIG | |
| 94 && err < err_bound / TWO_MANT_DIG); | |
| 95 } | |
| 96 } | |
| 97 } | |
| 98 | |
| 99 volatile DOUBLE x; | |
| 100 DOUBLE y; |