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73 lines
2.1 KiB
C
73 lines
2.1 KiB
C
/* Test of hypot*() 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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{
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volatile DOUBLE x;
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volatile DOUBLE y;
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DOUBLE z;
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/* Overflow. */
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x = MAX;
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y = MAX * L_(0.5);
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z = HYPOT (x, y);
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ASSERT (z == HUGEVAL);
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/* No underflow. */
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x = MIN;
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y = L_(0.0);
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z = HYPOT (x, y);
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ASSERT (z == MIN);
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/* No underflow. */
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x = MIN * L_(2.0);
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y = MIN * L_(3.0);
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z = HYPOT (x, y);
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ASSERT (z >= MIN * L_(2.0) && z <= MIN * L_(4.0));
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}
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/* Randomized tests. */
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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_(16.0) * RANDOM[i]; /* 0.0 <= x <= 16.0 */
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DOUBLE y = L_(16.0) * RANDOM[j]; /* 0.0 <= y <= 16.0 */
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DOUBLE z = HYPOT (x, y);
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DOUBLE err = z * z - (x * x + y * y);
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ASSERT (z >= L_(0.0));
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ASSERT (err >= - L_(4.0) * L_(16.0) * L_(16.0) / TWO_MANT_DIG
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&& err <= L_(4.0) * L_(16.0) * L_(16.0) / TWO_MANT_DIG);
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}
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}
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volatile DOUBLE x;
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volatile DOUBLE y;
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DOUBLE z;
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