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60 lines
2.1 KiB
C
60 lines
2.1 KiB
C
/* Test of cbrt*() function family.
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Copyright (C) 2012-2017 Free Software Foundation, Inc.
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see <http://www.gnu.org/licenses/>. */
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static void
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test_function (void)
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{
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int i;
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int j;
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const DOUBLE TWO_MANT_DIG =
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/* Assume MANT_DIG <= 5 * 31.
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Use the identity
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n = floor(n/5) + floor((n+1)/5) + ... + floor((n+4)/5). */
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(DOUBLE) (1U << ((MANT_DIG - 1) / 5))
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* (DOUBLE) (1U << ((MANT_DIG - 1 + 1) / 5))
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* (DOUBLE) (1U << ((MANT_DIG - 1 + 2) / 5))
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* (DOUBLE) (1U << ((MANT_DIG - 1 + 3) / 5))
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* (DOUBLE) (1U << ((MANT_DIG - 1 + 4) / 5));
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/* Randomized tests. */
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for (i = 0; i < SIZEOF (RANDOM); i++)
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{
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DOUBLE x = L_(32.0) * RANDOM[i] - L_(16.0); /* -16.0 <= x <= 16.0 */
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DOUBLE y = CBRT (x);
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DOUBLE err = y * y * y - x;
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ASSERT (err > - L_(4.0) * L_(16.0) / TWO_MANT_DIG
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&& err < L_(4.0) * L_(16.0) / TWO_MANT_DIG);
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}
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for (i = 0; i < SIZEOF (RANDOM) / 5; i++)
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for (j = 0; j < SIZEOF (RANDOM) / 5; j++)
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{
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DOUBLE x = L_(32.0) * RANDOM[i] - L_(16.0); /* -16.0 <= x <= 16.0 */
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DOUBLE y = L_(32.0) * RANDOM[j] - L_(16.0); /* -16.0 <= y <= 16.0 */
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if (x != L_(0.0) && y != L_(0.0))
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{
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DOUBLE z = L_(1.0) / (x * y);
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/* Approximately x * y * z = 1. */
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DOUBLE p = CBRT (x) * CBRT (y) * CBRT (z);
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ASSERT (p > L_(1.0) - L_(8.0) / TWO_MANT_DIG
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&& p < L_(1.0) + L_(8.0) / TWO_MANT_DIG);
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}
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}
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}
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volatile DOUBLE x;
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DOUBLE y;
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