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facf0c92e0
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224 lines
7.0 KiB
C
224 lines
7.0 KiB
C
/* Test file for mpfr_rootn_si.
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Copyright 2022-2025 Free Software Foundation, Inc.
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Contributed by the Pascaline and Caramba projects, INRIA.
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This file is part of the GNU MPFR Library.
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The GNU MPFR Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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The GNU MPFR Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MPFR Library; see the file COPYING.LESSER.
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If not, see <https://www.gnu.org/licenses/>. */
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#include "mpfr-test.h"
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#define DEFN(N) \
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static int root##N (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t rnd) \
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{ return mpfr_rootn_si (y, x, N, rnd); } \
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static int pow##N (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t rnd) \
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{ return mpfr_pow_si (y, x, N, rnd); } \
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static int rootm##N (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t rnd) \
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{ return mpfr_rootn_si (y, x, -N, rnd); } \
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static int powm##N (mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t rnd) \
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{ return mpfr_pow_si (y, x, -N, rnd); }
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DEFN(2)
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DEFN(3)
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DEFN(4)
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DEFN(5)
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DEFN(17)
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DEFN(120)
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static void
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special (void)
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{
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mpfr_t x, y;
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int i, inex, sx;
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int n[] = { -123456, -12345, -123, -12, -5, -4, -3, -2, -1, 0,
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1, 2, 3, 4, 5, 12, 123, 12345, 123456 };
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mpfr_inits2 (123, x, y, (mpfr_ptr) 0);
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/* rootn(NaN) = NaN */
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mpfr_set_nan (x);
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for (i = 0; i < numberof (n); i++)
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{
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mpfr_clear_flags ();
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inex = mpfr_rootn_si (y, x, n[i], MPFR_RNDN);
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if (! MPFR_IS_NAN (y))
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{
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printf ("Error: rootn(NaN,%d) <> NaN\n", n[i]);
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exit (1);
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}
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MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_NAN);
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MPFR_ASSERTN (inex == 0);
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}
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/* rootn(+Inf) = +0, NaN or +Inf for sign(n) = -1, 0, 1 respectively */
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mpfr_set_inf (x, 1);
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for (i = 0; i < numberof (n); i++)
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{
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mpfr_clear_flags ();
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inex = mpfr_rootn_si (y, x, n[i], MPFR_RNDN);
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if (n[i] < 0)
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{
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if (MPFR_NOTZERO (y) || MPFR_IS_NEG (y))
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{
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printf ("Error: rootn(+Inf,%d) <> +0\n", n[i]);
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exit (1);
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}
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}
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else if (n[i] > 0)
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{
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if (! MPFR_IS_INF (y) || MPFR_IS_NEG (y))
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{
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printf ("Error: rootn(+Inf,%d) <> +Inf\n", n[i]);
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exit (1);
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}
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}
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else if (! MPFR_IS_NAN (y))
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{
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printf ("Error: rootn(+Inf,0) <> NaN\n");
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exit (1);
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}
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MPFR_ASSERTN (__gmpfr_flags == (n[i] == 0 ? MPFR_FLAGS_NAN : 0));
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MPFR_ASSERTN (inex == 0);
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}
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/* rootn(-Inf) = -0 (resp. -Inf) for sign(n) = -1 (resp. 1) and odd n,
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NaN for even n */
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mpfr_set_inf (x, -1);
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for (i = 0; i < numberof (n); i++)
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{
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mpfr_clear_flags ();
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inex = mpfr_rootn_si (y, x, n[i], MPFR_RNDN);
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if (n[i] % 2 == 0)
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{
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if (! MPFR_IS_NAN (y))
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{
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printf ("Error: rootn(-Inf,%d) <> NaN\n", n[i]);
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exit (1);
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}
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MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_NAN);
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}
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else
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{
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if (n[i] < 0)
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{
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if (MPFR_NOTZERO (y) || MPFR_IS_POS (y))
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{
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printf ("Error: rootn(-Inf,%d) <> -0\n", n[i]);
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exit (1);
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}
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}
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else
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{
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if (! MPFR_IS_INF (y) || MPFR_IS_POS (y))
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{
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printf ("Error: rootn(-Inf,%d) <> -Inf\n", n[i]);
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exit (1);
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}
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}
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MPFR_ASSERTN (__gmpfr_flags == 0);
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}
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MPFR_ASSERTN (inex == 0);
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}
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/* rootn(+/- 0) */
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for (i = 0; i < numberof (n); i++)
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for (sx = -1; sx <= 1; sx += 2)
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{
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mpfr_set_zero (x, sx);
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mpfr_clear_flags ();
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inex = mpfr_rootn_si (y, x, n[i], MPFR_RNDN);
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if (sx > 0 || n[i] % 2 == 0 ? MPFR_IS_NEG (y) : MPFR_IS_POS (y))
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{
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printf ("Error: rootn(%c0,%d) has a wrong sign\n",
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sx > 0 ? '+' : '-', n[i]);
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exit (1);
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}
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if (n[i] < 0)
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{
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if (! MPFR_IS_INF (y))
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{
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printf ("Error: rootn(%c0,%d) is not an infinity\n",
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sx > 0 ? '+' : '-', n[i]);
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exit (1);
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}
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MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_DIVBY0);
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}
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else if (n[i] > 0)
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{
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if (MPFR_NOTZERO (y))
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{
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printf ("Error: rootn(%c0,%d) is not a zero\n",
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sx > 0 ? '+' : '-', n[i]);
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exit (1);
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}
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MPFR_ASSERTN (__gmpfr_flags == 0);
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}
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else
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{
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if (! MPFR_IS_NAN (y))
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{
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printf ("Error: rootn(%c0,0) <> NaN\n", sx > 0 ? '+' : '-');
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exit (1);
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}
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MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_NAN);
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}
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MPFR_ASSERTN (inex == 0);
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}
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/* TODO: complete the tests. */
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mpfr_clears (x, y, (mpfr_ptr) 0);
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}
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#define TEST_FUNCTION mpfr_rootn_si
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#define INTEGER_TYPE long
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#define INT_RAND_FUNCTION() \
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(randlimb () % 16 == 0 ? randlong () : (long) (randlimb () % 31) - 15)
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#include "tgeneric_ui.c"
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int
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main (void)
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{
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tests_start_mpfr ();
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special ();
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/* The sign of the random value y (used to generate a potential bad case)
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is negative with a probability 256/512 = 1/2 for odd n, and never
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negative (probability 0/512) for even n (if y is negative, then
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(y^(2k))^(1/(2k)) is different from y, so that this would yield
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an error). */
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bad_cases (root2, pow2, "rootn[2]", 0, -256, 255, 4, 128, 80, 40);
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bad_cases (root3, pow3, "rootn[3]", 256, -256, 255, 4, 128, 200, 40);
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bad_cases (root4, pow4, "rootn[4]", 0, -256, 255, 4, 128, 320, 40);
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bad_cases (root5, pow5, "rootn[5]", 256, -256, 255, 4, 128, 440, 40);
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bad_cases (root17, pow17, "rootn[17]", 256, -256, 255, 4, 128, 800, 40);
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bad_cases (root120, pow120, "rootn[120]", 0, -256, 255, 4, 128, 800, 40);
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/* Ditto. */
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bad_cases (rootm2, powm2, "rootn[-2]", 0, -256, 255, 4, 128, 80, 40);
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bad_cases (rootm3, powm3, "rootn[-3]", 256, -256, 255, 4, 128, 200, 40);
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bad_cases (rootm4, powm4, "rootn[-4]", 0, -256, 255, 4, 128, 320, 40);
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bad_cases (rootm5, powm5, "rootn[-5]", 256, -256, 255, 4, 128, 440, 40);
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bad_cases (rootm17, powm17, "rootn[-17]", 256, -256, 255, 4, 128, 800, 40);
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bad_cases (rootm120, powm120, "rootn[-120]", 0, -256, 255, 4, 128, 800, 40);
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test_generic_ui (MPFR_PREC_MIN, 200, 30);
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tests_end_mpfr ();
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return 0;
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}
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