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https://review.haiku-os.org/buildtools
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593e726f68
* gmp to 5.0.5, mpfr to 3.1.2, mpc to 1.0.1
335 lines
9.5 KiB
C
335 lines
9.5 KiB
C
/* Test file for mpfr_root.
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Copyright 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc.
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Contributed by the AriC and Caramel 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. If not, see
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http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
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51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
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#include <stdio.h>
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#include <stdlib.h>
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#include "mpfr-test.h"
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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;
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mpfr_init (x);
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mpfr_init (y);
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/* root(NaN) = NaN */
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mpfr_set_nan (x);
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mpfr_root (y, x, 17, MPFR_RNDN);
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if (!mpfr_nan_p (y))
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{
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printf ("Error: root(NaN,17) <> NaN\n");
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exit (1);
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}
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/* root(+Inf) = +Inf */
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mpfr_set_inf (x, 1);
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mpfr_root (y, x, 42, MPFR_RNDN);
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if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
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{
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printf ("Error: root(+Inf,42) <> +Inf\n");
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exit (1);
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}
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/* root(-Inf, 17) = -Inf */
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mpfr_set_inf (x, -1);
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mpfr_root (y, x, 17, MPFR_RNDN);
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if (!mpfr_inf_p (y) || mpfr_sgn (y) > 0)
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{
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printf ("Error: root(-Inf,17) <> -Inf\n");
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exit (1);
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}
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/* root(-Inf, 42) = NaN */
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mpfr_set_inf (x, -1);
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mpfr_root (y, x, 42, MPFR_RNDN);
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if (!mpfr_nan_p (y))
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{
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printf ("Error: root(-Inf,42) <> -Inf\n");
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exit (1);
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}
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/* root(+/-0) = +/-0 */
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mpfr_set_ui (x, 0, MPFR_RNDN);
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mpfr_root (y, x, 17, MPFR_RNDN);
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if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
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{
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printf ("Error: root(+0,17) <> +0\n");
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exit (1);
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}
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mpfr_neg (x, x, MPFR_RNDN);
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mpfr_root (y, x, 42, MPFR_RNDN);
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if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0)
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{
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printf ("Error: root(-0,42) <> -0\n");
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exit (1);
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}
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mpfr_set_prec (x, 53);
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mpfr_set_str (x, "8.39005285514734966412e-01", 10, MPFR_RNDN);
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mpfr_root (x, x, 3, MPFR_RNDN);
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if (mpfr_cmp_str1 (x, "9.43166207799662426048e-01"))
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{
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printf ("Error in root3 (1)\n");
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printf ("expected 9.43166207799662426048e-01\n");
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printf ("got ");
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mpfr_dump (x);
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exit (1);
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}
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mpfr_set_prec (x, 32);
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mpfr_set_prec (y, 32);
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mpfr_set_str_binary (x, "0.10000100001100101001001001011001");
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mpfr_root (x, x, 3, MPFR_RNDN);
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mpfr_set_str_binary (y, "0.11001101011000100111000111111001");
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if (mpfr_cmp (x, y))
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{
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printf ("Error in root3 (2)\n");
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exit (1);
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}
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mpfr_set_prec (x, 32);
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mpfr_set_prec (y, 32);
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mpfr_set_str_binary (x, "-0.1100001110110000010101011001011");
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mpfr_root (x, x, 3, MPFR_RNDD);
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mpfr_set_str_binary (y, "-0.11101010000100100101000101011001");
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if (mpfr_cmp (x, y))
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{
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printf ("Error in root3 (3)\n");
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exit (1);
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}
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mpfr_set_prec (x, 82);
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mpfr_set_prec (y, 27);
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mpfr_set_str_binary (x, "0.1010001111011101011011000111001011001101100011110110010011011011011010011001100101e-7");
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mpfr_root (y, x, 3, MPFR_RNDD);
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mpfr_set_str_binary (x, "0.101011110001110001000100011E-2");
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if (mpfr_cmp (x, y))
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{
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printf ("Error in root3 (4)\n");
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exit (1);
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}
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mpfr_set_prec (x, 204);
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mpfr_set_prec (y, 38);
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mpfr_set_str_binary (x, "0.101000000001101000000001100111111011111001110110100001111000100110100111001101100111110001110001011011010110010011100101111001111100001010010100111011101100000011011000101100010000000011000101001010001001E-5");
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mpfr_root (y, x, 3, MPFR_RNDD);
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mpfr_set_str_binary (x, "0.10001001111010011011101000010110110010E-1");
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if (mpfr_cmp (x, y))
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{
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printf ("Error in root3 (5)\n");
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exit (1);
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}
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/* Worst case found on 2006-11-25 */
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mpfr_set_prec (x, 53);
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mpfr_set_prec (y, 53);
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mpfr_set_str_binary (x, "1.0100001101101101001100110001001000000101001101100011E28");
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mpfr_root (y, x, 35, MPFR_RNDN);
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mpfr_set_str_binary (x, "1.1100000010110101100011101011000010100001101100100011E0");
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if (mpfr_cmp (x, y))
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{
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printf ("Error in mpfr_root (y, x, 35, MPFR_RNDN) for\n"
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"x = 1.0100001101101101001100110001001000000101001101100011E28\n"
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"Expected ");
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mpfr_dump (x);
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printf ("Got ");
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mpfr_dump (y);
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exit (1);
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}
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/* Worst cases found on 2006-11-26 */
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mpfr_set_str_binary (x, "1.1111010011101110001111010110000101110000110110101100E17");
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mpfr_root (y, x, 36, MPFR_RNDD);
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mpfr_set_str_binary (x, "1.0110100111010001101001010111001110010100111111000010E0");
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if (mpfr_cmp (x, y))
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{
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printf ("Error in mpfr_root (y, x, 36, MPFR_RNDD) for\n"
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"x = 1.1111010011101110001111010110000101110000110110101100E17\n"
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"Expected ");
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mpfr_dump (x);
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printf ("Got ");
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mpfr_dump (y);
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exit (1);
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}
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mpfr_set_str_binary (x, "1.1100011101101101100010110001000001110001111110010000E23");
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mpfr_root (y, x, 36, MPFR_RNDU);
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mpfr_set_str_binary (x, "1.1001010100001110000110111111100011011101110011000100E0");
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if (mpfr_cmp (x, y))
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{
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printf ("Error in mpfr_root (y, x, 36, MPFR_RNDU) for\n"
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"x = 1.1100011101101101100010110001000001110001111110010000E23\n"
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"Expected ");
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mpfr_dump (x);
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printf ("Got ");
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mpfr_dump (y);
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exit (1);
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}
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/* Check for k = 1 */
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mpfr_set_ui (x, 17, MPFR_RNDN);
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i = mpfr_root (y, x, 1, MPFR_RNDN);
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if (mpfr_cmp_ui (x, 17) || i != 0)
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{
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printf ("Error in root (17^(1/1))\n");
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exit (1);
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}
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#if 0
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/* Check for k == 0:
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For 0 <= x < 1 => +0.
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For x = 1 => 1.
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For x > 1, => +Inf.
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For x < 0 => NaN. */
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i = mpfr_root (y, x, 0, MPFR_RNDN);
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if (!MPFR_IS_INF (y) || !MPFR_IS_POS (y) || i != 0)
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{
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printf ("Error in root 17^(1/0)\n");
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exit (1);
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}
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mpfr_set_ui (x, 1, MPFR_RNDN);
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i = mpfr_root (y, x, 0, MPFR_RNDN);
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if (mpfr_cmp_ui (y, 1) || i != 0)
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{
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printf ("Error in root 1^(1/0)\n");
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exit (1);
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}
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mpfr_set_ui (x, 0, MPFR_RNDN);
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i = mpfr_root (y, x, 0, MPFR_RNDN);
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if (!MPFR_IS_ZERO (y) || !MPFR_IS_POS (y) || i != 0)
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{
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printf ("Error in root 0+^(1/0)\n");
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exit (1);
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}
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MPFR_CHANGE_SIGN (x);
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i = mpfr_root (y, x, 0, MPFR_RNDN);
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if (!MPFR_IS_ZERO (y) || !MPFR_IS_POS (y) || i != 0)
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{
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printf ("Error in root 0-^(1/0)\n");
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exit (1);
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}
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mpfr_set_ui_2exp (x, 17, -5, MPFR_RNDD);
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i = mpfr_root (y, x, 0, MPFR_RNDN);
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if (!MPFR_IS_ZERO (y) || !MPFR_IS_POS (y) || i != 0)
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{
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printf ("Error in root (17/2^5)^(1/0)\n");
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exit (1);
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}
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#endif
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mpfr_set_ui (x, 0, MPFR_RNDN);
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i = mpfr_root (y, x, 0, MPFR_RNDN);
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if (!MPFR_IS_NAN (y) || i != 0)
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{
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printf ("Error in root 0+^(1/0)\n");
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exit (1);
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}
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/* Check for k==2 */
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mpfr_set_si (x, -17, MPFR_RNDD);
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i = mpfr_root (y, x, 2, MPFR_RNDN);
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if (!MPFR_IS_NAN (y) || i != 0)
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{
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printf ("Error in root (-17)^(1/2)\n");
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exit (1);
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}
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mpfr_clear (x);
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mpfr_clear (y);
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}
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#define TEST_FUNCTION mpfr_root
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#define INTEGER_TYPE unsigned long
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#define INT_RAND_FUNCTION() (INTEGER_TYPE) (randlimb () % 3 +2)
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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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mpfr_t x;
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int r;
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mpfr_prec_t p;
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unsigned long k;
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tests_start_mpfr ();
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special ();
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mpfr_init (x);
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for (p = 2; p < 100; p++)
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{
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mpfr_set_prec (x, p);
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for (r = 0; r < MPFR_RND_MAX; r++)
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{
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mpfr_set_ui (x, 1, MPFR_RNDN);
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k = 2 + randlimb () % 4; /* 2 <= k <= 5 */
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mpfr_root (x, x, k, (mpfr_rnd_t) r);
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if (mpfr_cmp_ui (x, 1))
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{
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printf ("Error in mpfr_root(%lu) for x=1, rnd=%s\ngot ",
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k, mpfr_print_rnd_mode ((mpfr_rnd_t) r));
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mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
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printf ("\n");
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exit (1);
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}
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mpfr_set_si (x, -1, MPFR_RNDN);
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if (k % 2)
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{
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mpfr_root (x, x, k, (mpfr_rnd_t) r);
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if (mpfr_cmp_si (x, -1))
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{
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printf ("Error in mpfr_root(%lu) for x=-1, rnd=%s\ngot ",
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k, mpfr_print_rnd_mode ((mpfr_rnd_t) r));
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mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
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printf ("\n");
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exit (1);
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}
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}
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if (p >= 5)
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{
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int i;
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for (i = -12; i <= 12; i++)
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{
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mpfr_set_ui (x, 27, MPFR_RNDN);
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mpfr_mul_2si (x, x, 3*i, MPFR_RNDN);
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mpfr_root (x, x, 3, MPFR_RNDN);
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if (mpfr_cmp_si_2exp (x, 3, i))
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{
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printf ("Error in mpfr_root(3) for "
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"x = 27.0 * 2^(%d), rnd=%s\ngot ",
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3*i, mpfr_print_rnd_mode ((mpfr_rnd_t) r));
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mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
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printf ("\ninstead of 3 * 2^(%d)\n", i);
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exit (1);
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}
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}
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}
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}
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}
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mpfr_clear (x);
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test_generic_ui (2, 200, 30);
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tests_end_mpfr ();
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return 0;
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}
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