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Unified Diff: gcc/mpfr/tests/tsqrt.c

Issue 3050029: [gcc] GCC 4.5.0=>4.5.1 (Closed) Base URL: ssh://git@gitrw.chromium.org:9222/nacl-toolchain.git
Patch Set: Created 10 years, 5 months ago
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Index: gcc/mpfr/tests/tsqrt.c
diff --git a/gcc/mpfr/tests/tsqrt.c b/gcc/mpfr/tests/tsqrt.c
deleted file mode 100644
index cef9b8a1b96d8157c12b0b92d1a7fdd0d45808c2..0000000000000000000000000000000000000000
--- a/gcc/mpfr/tests/tsqrt.c
+++ /dev/null
@@ -1,685 +0,0 @@
-/* Test file for mpfr_sqrt.
-
-Copyright 1999, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
-Contributed by the Arenaire and Cacao projects, INRIA.
-
-This file is part of the GNU MPFR Library.
-
-The GNU MPFR Library is free software; you can redistribute it and/or modify
-it under the terms of the GNU Lesser General Public License as published by
-the Free Software Foundation; either version 2.1 of the License, or (at your
-option) any later version.
-
-The GNU MPFR Library is distributed in the hope that it will be useful, but
-WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
-or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
-License for more details.
-
-You should have received a copy of the GNU Lesser General Public License
-along with the GNU MPFR Library; see the file COPYING.LIB. If not, write to
-the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
-MA 02110-1301, USA. */
-
-#include <stdio.h>
-#include <stdlib.h>
-
-#include "mpfr-test.h"
-
-#ifdef CHECK_EXTERNAL
-static int
-test_sqrt (mpfr_ptr a, mpfr_srcptr b, mp_rnd_t rnd_mode)
-{
- int res;
- int ok = rnd_mode == GMP_RNDN && mpfr_number_p (b);
- if (ok)
- {
- mpfr_print_raw (b);
- }
- res = mpfr_sqrt (a, b, rnd_mode);
- if (ok)
- {
- printf (" ");
- mpfr_print_raw (a);
- printf ("\n");
- }
- return res;
-}
-#else
-#define test_sqrt mpfr_sqrt
-#endif
-
-static void
-check3 (const char *as, mp_rnd_t rnd_mode, const char *qs)
-{
- mpfr_t q;
-
- mpfr_init2 (q, 53);
- mpfr_set_str1 (q, as);
- test_sqrt (q, q, rnd_mode);
- if (mpfr_cmp_str1 (q, qs) )
- {
- printf ("mpfr_sqrt failed for a=%s, rnd_mode=%s\n",
- as, mpfr_print_rnd_mode (rnd_mode));
- printf ("expected sqrt is %s, got ",qs);
- mpfr_out_str (stdout, 10, 0, q, GMP_RNDN);
- putchar ('\n');
- exit (1);
- }
- mpfr_clear (q);
-}
-
-static void
-check4 (const char *as, mp_rnd_t rnd_mode, const char *Qs)
-{
- mpfr_t q;
-
- mpfr_init2 (q, 53);
- mpfr_set_str1 (q, as);
- test_sqrt (q, q, rnd_mode);
- if (mpfr_cmp_str (q, Qs, 16, GMP_RNDN))
- {
- printf ("mpfr_sqrt failed for a=%s, rnd_mode=%s\n",
- as, mpfr_print_rnd_mode(rnd_mode));
- printf ("expected ");
- mpfr_out_str (stdout, 16, 0, q, GMP_RNDN);
- printf ("\ngot %s\n", Qs);
- mpfr_clear (q);
- exit (1);
- }
- mpfr_clear (q);
-}
-
-static void
-check24 (const char *as, mp_rnd_t rnd_mode, const char *qs)
-{
- mpfr_t q;
-
- mpfr_init2 (q, 24);
- mpfr_set_str1 (q, as);
- test_sqrt (q, q, rnd_mode);
- if (mpfr_cmp_str1 (q, qs))
- {
- printf ("mpfr_sqrt failed for a=%s, prec=24, rnd_mode=%s\n",
- as, mpfr_print_rnd_mode(rnd_mode));
- printf ("expected sqrt is %s, got ",qs);
- mpfr_out_str (stdout, 10, 0, q, GMP_RNDN);
- printf ("\n");
- exit (1);
- }
- mpfr_clear (q);
-}
-
-static void
-check_diverse (const char *as, mp_prec_t p, const char *qs)
-{
- mpfr_t q;
-
- mpfr_init2 (q, p);
- mpfr_set_str1 (q, as);
- test_sqrt (q, q, GMP_RNDN);
- if (mpfr_cmp_str1 (q, qs))
- {
- printf ("mpfr_sqrt failed for a=%s, prec=%lu, rnd_mode=%s\n",
- as, p, mpfr_print_rnd_mode (GMP_RNDN));
- printf ("expected sqrt is %s, got ", qs);
- mpfr_out_str (stdout, 10, 0, q, GMP_RNDN);
- printf ("\n");
- exit (1);
- }
- mpfr_clear (q);
-}
-
-/* the following examples come from the paper "Number-theoretic Test
- Generation for Directed Rounding" from Michael Parks, Table 3 */
-static void
-check_float (void)
-{
- check24("70368760954880.0", GMP_RNDN, "8.388609e6");
- check24("281474943156224.0", GMP_RNDN, "1.6777215e7");
- check24("70368777732096.0", GMP_RNDN, "8.388610e6");
- check24("281474909601792.0", GMP_RNDN, "1.6777214e7");
- check24("100216216748032.0", GMP_RNDN, "1.0010805e7");
- check24("120137273311232.0", GMP_RNDN, "1.0960715e7");
- check24("229674600890368.0", GMP_RNDN, "1.5155019e7");
- check24("70368794509312.0", GMP_RNDN, "8.388611e6");
- check24("281474876047360.0", GMP_RNDN, "1.6777213e7");
- check24("91214552498176.0", GMP_RNDN, "9.550631e6");
-
- check24("70368760954880.0", GMP_RNDZ, "8.388608e6");
- check24("281474943156224.0", GMP_RNDZ, "1.6777214e7");
- check24("70368777732096.0", GMP_RNDZ, "8.388609e6");
- check24("281474909601792.0", GMP_RNDZ, "1.6777213e7");
- check24("100216216748032.0", GMP_RNDZ, "1.0010805e7");
- check24("120137273311232.0", GMP_RNDZ, "1.0960715e7");
- check24("229674600890368.0", GMP_RNDZ, "1.5155019e7");
- check24("70368794509312.0", GMP_RNDZ, "8.38861e6");
- check24("281474876047360.0", GMP_RNDZ, "1.6777212e7");
- check24("91214552498176.0", GMP_RNDZ, "9.550631e6");
-
- check24("70368760954880.0", GMP_RNDU, "8.388609e6");
- check24("281474943156224.0",GMP_RNDU, "1.6777215e7");
- check24("70368777732096.0", GMP_RNDU, "8.388610e6");
- check24("281474909601792.0", GMP_RNDU, "1.6777214e7");
- check24("100216216748032.0", GMP_RNDU, "1.0010806e7");
- check24("120137273311232.0", GMP_RNDU, "1.0960716e7");
- check24("229674600890368.0", GMP_RNDU, "1.515502e7");
- check24("70368794509312.0", GMP_RNDU, "8.388611e6");
- check24("281474876047360.0", GMP_RNDU, "1.6777213e7");
- check24("91214552498176.0", GMP_RNDU, "9.550632e6");
-
- check24("70368760954880.0", GMP_RNDD, "8.388608e6");
- check24("281474943156224.0", GMP_RNDD, "1.6777214e7");
- check24("70368777732096.0", GMP_RNDD, "8.388609e6");
- check24("281474909601792.0", GMP_RNDD, "1.6777213e7");
- check24("100216216748032.0", GMP_RNDD, "1.0010805e7");
- check24("120137273311232.0", GMP_RNDD, "1.0960715e7");
- check24("229674600890368.0", GMP_RNDD, "1.5155019e7");
- check24("70368794509312.0", GMP_RNDD, "8.38861e6");
- check24("281474876047360.0", GMP_RNDD, "1.6777212e7");
- check24("91214552498176.0", GMP_RNDD, "9.550631e6");
-}
-
-static void
-special (void)
-{
- mpfr_t x, y, z;
- int inexact;
- mp_prec_t p;
-
- mpfr_init (x);
- mpfr_init (y);
- mpfr_init (z);
-
- mpfr_set_prec (x, 64);
- mpfr_set_str_binary (x, "1010000010100011011001010101010010001100001101011101110001011001E-1");
- mpfr_set_prec (y, 32);
- test_sqrt (y, x, GMP_RNDN);
- if (mpfr_cmp_ui (y, 2405743844UL))
- {
- printf ("Error for n^2+n+1/2 with n=2405743843\n");
- exit (1);
- }
-
- mpfr_set_prec (x, 65);
- mpfr_set_str_binary (x, "10100000101000110110010101010100100011000011010111011100010110001E-2");
- mpfr_set_prec (y, 32);
- test_sqrt (y, x, GMP_RNDN);
- if (mpfr_cmp_ui (y, 2405743844UL))
- {
- printf ("Error for n^2+n+1/4 with n=2405743843\n");
- mpfr_dump (y);
- exit (1);
- }
-
- mpfr_set_prec (x, 66);
- mpfr_set_str_binary (x, "101000001010001101100101010101001000110000110101110111000101100011E-3");
- mpfr_set_prec (y, 32);
- test_sqrt (y, x, GMP_RNDN);
- if (mpfr_cmp_ui (y, 2405743844UL))
- {
- printf ("Error for n^2+n+1/4+1/8 with n=2405743843\n");
- mpfr_dump (y);
- exit (1);
- }
-
- mpfr_set_prec (x, 66);
- mpfr_set_str_binary (x, "101000001010001101100101010101001000110000110101110111000101100001E-3");
- mpfr_set_prec (y, 32);
- test_sqrt (y, x, GMP_RNDN);
- if (mpfr_cmp_ui (y, 2405743843UL))
- {
- printf ("Error for n^2+n+1/8 with n=2405743843\n");
- mpfr_dump (y);
- exit (1);
- }
-
- mpfr_set_prec (x, 27);
- mpfr_set_str_binary (x, "0.110100111010101000010001011");
- if ((inexact = test_sqrt (x, x, GMP_RNDZ)) >= 0)
- {
- printf ("Wrong inexact flag: expected -1, got %d\n", inexact);
- exit (1);
- }
-
- mpfr_set_prec (x, 2);
- for (p=2; p<1000; p++)
- {
- mpfr_set_prec (z, p);
- mpfr_set_ui (z, 1, GMP_RNDN);
- mpfr_nexttoinf (z);
- test_sqrt (x, z, GMP_RNDU);
- if (mpfr_cmp_ui_2exp(x, 3, -1))
- {
- printf ("Error: sqrt(1+ulp(1), up) should give 1.5 (prec=%u)\n",
- (unsigned int) p);
- printf ("got "); mpfr_print_binary (x); puts ("");
- exit (1);
- }
- }
-
- /* check inexact flag */
- mpfr_set_prec (x, 5);
- mpfr_set_str_binary (x, "1.1001E-2");
- if ((inexact = test_sqrt (x, x, GMP_RNDN)))
- {
- printf ("Wrong inexact flag: expected 0, got %d\n", inexact);
- exit (1);
- }
-
- mpfr_set_prec (x, 2);
- mpfr_set_prec (z, 2);
-
- /* checks the sign is correctly set */
- mpfr_set_si (x, 1, GMP_RNDN);
- mpfr_set_si (z, -1, GMP_RNDN);
- test_sqrt (z, x, GMP_RNDN);
- if (mpfr_cmp_ui (z, 0) < 0)
- {
- printf ("Error: square root of 1 gives ");
- mpfr_print_binary(z);
- putchar('\n');
- exit (1);
- }
-
- mpfr_set_prec (x, 192);
- mpfr_set_prec (z, 160);
- mpfr_set_str_binary (z, "0.1011010100000100100100100110011001011100100100000011000111011001011101101101110000110100001000100001100001011000E1");
- mpfr_set_prec (x, 160);
- test_sqrt(x, z, GMP_RNDN);
- test_sqrt(z, x, GMP_RNDN);
-
- mpfr_set_prec (x, 53);
- mpfr_set_str (x, "8093416094703476.0", 10, GMP_RNDN);
- mpfr_div_2exp (x, x, 1075, GMP_RNDN);
- test_sqrt (x, x, GMP_RNDN);
- mpfr_set_str (z, "1e55596835b5ef@-141", 16, GMP_RNDN);
- if (mpfr_cmp (x, z))
- {
- printf ("Error: square root of 8093416094703476*2^(-1075)\n");
- printf ("expected "); mpfr_dump (z);
- printf ("got "); mpfr_dump (x);
- exit (1);
- }
-
- mpfr_set_prec (x, 33);
- mpfr_set_str_binary (x, "0.111011011011110001100111111001000e-10");
- mpfr_set_prec (z, 157);
- inexact = test_sqrt (z, x, GMP_RNDN);
- mpfr_set_prec (x, 157);
- mpfr_set_str_binary (x, "0.11110110101100101111001011100011100011100001101010111011010000100111011000111110100001001011110011111100101110010110010110011001011011010110010000011001101E-5");
- if (mpfr_cmp (x, z))
- {
- printf ("Error: square root (1)\n");
- exit (1);
- }
- if (inexact <= 0)
- {
- printf ("Error: wrong inexact flag (1)\n");
- exit (1);
- }
-
- /* case prec(result) << prec(input) */
- mpfr_set_prec (z, 2);
- for (p = 2; p < 1000; p++)
- {
- mpfr_set_prec (x, p);
- mpfr_set_ui (x, 1, GMP_RNDN);
- mpfr_nextabove (x);
- /* 1.0 < x <= 1.5 thus 1 < sqrt(x) <= 1.23 */
- inexact = test_sqrt (z, x, GMP_RNDN);
- MPFR_ASSERTN(inexact < 0 && mpfr_cmp_ui (z, 1) == 0);
- inexact = test_sqrt (z, x, GMP_RNDZ);
- MPFR_ASSERTN(inexact < 0 && mpfr_cmp_ui (z, 1) == 0);
- inexact = test_sqrt (z, x, GMP_RNDU);
- MPFR_ASSERTN(inexact > 0 && mpfr_cmp_ui_2exp (z, 3, -1) == 0);
- inexact = test_sqrt (z, x, GMP_RNDD);
- MPFR_ASSERTN(inexact < 0 && mpfr_cmp_ui (z, 1) == 0);
- }
-
- /* corner case rw = 0 in rounding to nearest */
- mpfr_set_prec (z, BITS_PER_MP_LIMB - 1);
- mpfr_set_prec (y, BITS_PER_MP_LIMB - 1);
- mpfr_set_ui (y, 1, GMP_RNDN);
- mpfr_mul_2exp (y, y, BITS_PER_MP_LIMB - 1, GMP_RNDN);
- mpfr_nextabove (y);
- for (p = 2 * BITS_PER_MP_LIMB - 1; p <= 1000; p++)
- {
- mpfr_set_prec (x, p);
- mpfr_set_ui (x, 1, GMP_RNDN);
- mpfr_set_exp (x, BITS_PER_MP_LIMB);
- mpfr_add_ui (x, x, 1, GMP_RNDN);
- /* now x = 2^(BITS_PER_MP_LIMB - 1) + 1 (BITS_PER_MP_LIMB bits) */
- MPFR_ASSERTN (mpfr_mul (x, x, x, GMP_RNDN) == 0); /* exact */
- inexact = test_sqrt (z, x, GMP_RNDN);
- /* even rule: z should be 2^(BITS_PER_MP_LIMB - 1) */
- MPFR_ASSERTN (inexact < 0);
- MPFR_ASSERTN (mpfr_cmp_ui_2exp (z, 1, BITS_PER_MP_LIMB - 1) == 0);
- mpfr_nextbelow (x);
- /* now x is just below [2^(BITS_PER_MP_LIMB - 1) + 1]^2 */
- inexact = test_sqrt (z, x, GMP_RNDN);
- MPFR_ASSERTN(inexact < 0 &&
- mpfr_cmp_ui_2exp (z, 1, BITS_PER_MP_LIMB - 1) == 0);
- mpfr_nextabove (x);
- mpfr_nextabove (x);
- /* now x is just above [2^(BITS_PER_MP_LIMB - 1) + 1]^2 */
- inexact = test_sqrt (z, x, GMP_RNDN);
- if (mpfr_cmp (z, y))
- {
- printf ("Error for sqrt(x) in rounding to nearest\n");
- printf ("x="); mpfr_dump (x);
- printf ("Expected "); mpfr_dump (y);
- printf ("Got "); mpfr_dump (z);
- exit (1);
- }
- if (inexact <= 0)
- {
- printf ("Wrong inexact flag in corner case for p = %lu\n", (unsigned long) p);
- exit (1);
- }
- }
-
- mpfr_set_prec (x, 1000);
- mpfr_set_ui (x, 9, GMP_RNDN);
- mpfr_set_prec (y, 10);
- inexact = test_sqrt (y, x, GMP_RNDN);
- if (mpfr_cmp_ui (y, 3) || inexact != 0)
- {
- printf ("Error in sqrt(9:1000) for prec=10\n");
- exit (1);
- }
- mpfr_set_prec (y, BITS_PER_MP_LIMB);
- mpfr_nextabove (x);
- inexact = test_sqrt (y, x, GMP_RNDN);
- if (mpfr_cmp_ui (y, 3) || inexact >= 0)
- {
- printf ("Error in sqrt(9:1000) for prec=%d\n", (int) BITS_PER_MP_LIMB);
- exit (1);
- }
- mpfr_set_prec (x, 2 * BITS_PER_MP_LIMB);
- mpfr_set_prec (y, BITS_PER_MP_LIMB);
- mpfr_set_ui (y, 1, GMP_RNDN);
- mpfr_nextabove (y);
- mpfr_set (x, y, GMP_RNDN);
- inexact = test_sqrt (y, x, GMP_RNDN);
- if (mpfr_cmp_ui (y, 1) || inexact >= 0)
- {
- printf ("Error in sqrt(1) for prec=%d\n", (int) BITS_PER_MP_LIMB);
- mpfr_dump (y);
- exit (1);
- }
-
- mpfr_clear (x);
- mpfr_clear (y);
- mpfr_clear (z);
-}
-
-static void
-check_inexact (mp_prec_t p)
-{
- mpfr_t x, y, z;
- mp_rnd_t rnd;
- int inexact, sign;
-
- mpfr_init2 (x, p);
- mpfr_init2 (y, p);
- mpfr_init2 (z, 2*p);
- mpfr_urandomb (x, RANDS);
- rnd = RND_RAND ();
- inexact = test_sqrt (y, x, rnd);
- if (mpfr_mul (z, y, y, rnd)) /* exact since prec(z) = 2*prec(y) */
- {
- printf ("Error: multiplication should be exact\n");
- exit (1);
- }
- mpfr_sub (z, z, x, rnd); /* exact also */
- sign = mpfr_cmp_ui (z, 0);
- if (((inexact == 0) && (sign)) ||
- ((inexact > 0) && (sign <= 0)) ||
- ((inexact < 0) && (sign >= 0)))
- {
- printf ("Error: wrong inexact flag, expected %d, got %d\n",
- sign, inexact);
- printf ("x=");
- mpfr_print_binary (x);
- printf (" rnd=%s\n", mpfr_print_rnd_mode (rnd));
- printf ("y="); mpfr_print_binary (y); puts ("");
- exit (1);
- }
- mpfr_clear (x);
- mpfr_clear (y);
- mpfr_clear (z);
-}
-
-static void
-check_nan (void)
-{
- mpfr_t x, got;
-
- mpfr_init2 (x, 100L);
- mpfr_init2 (got, 100L);
-
- /* sqrt(NaN) == NaN */
- MPFR_CLEAR_FLAGS (x);
- MPFR_SET_NAN (x);
- MPFR_ASSERTN (test_sqrt (got, x, GMP_RNDZ) == 0); /* exact */
- MPFR_ASSERTN (mpfr_nan_p (got));
-
- /* sqrt(-1) == NaN */
- mpfr_set_si (x, -1L, GMP_RNDZ);
- MPFR_ASSERTN (test_sqrt (got, x, GMP_RNDZ) == 0); /* exact */
- MPFR_ASSERTN (mpfr_nan_p (got));
-
- /* sqrt(+inf) == +inf */
- MPFR_CLEAR_FLAGS (x);
- MPFR_SET_INF (x);
- MPFR_SET_POS (x);
- MPFR_ASSERTN (test_sqrt (got, x, GMP_RNDZ) == 0); /* exact */
- MPFR_ASSERTN (mpfr_inf_p (got));
-
- /* sqrt(-inf) == NaN */
- MPFR_CLEAR_FLAGS (x);
- MPFR_SET_INF (x);
- MPFR_SET_NEG (x);
- MPFR_ASSERTN (test_sqrt (got, x, GMP_RNDZ) == 0); /* exact */
- MPFR_ASSERTN (mpfr_nan_p (got));
-
- /* sqrt(-0) == 0 */
- mpfr_set_si (x, 0L, GMP_RNDZ);
- MPFR_SET_NEG (x);
- MPFR_ASSERTN (test_sqrt (got, x, GMP_RNDZ) == 0); /* exact */
- MPFR_ASSERTN (mpfr_number_p (got));
- MPFR_ASSERTN (mpfr_cmp_ui (got, 0L) == 0);
-
- mpfr_clear (x);
- mpfr_clear (got);
-}
-
-/* check that -1 <= x/sqrt(x^2+y^2) <= 1 for rounding to nearest or up */
-static void
-test_property1 (mp_prec_t p, mp_rnd_t r)
-{
- mpfr_t x, y, z, t;
-
- mpfr_init2 (x, p);
- mpfr_init2 (y, p);
- mpfr_init2 (z, p);
- mpfr_init2 (t, p);
-
- mpfr_urandomb (x, RANDS);
- mpfr_urandomb (y, RANDS);
- mpfr_mul (z, x, x, r);
- mpfr_mul (t, x, x, r);
- mpfr_add (z, z, t, r);
- mpfr_sqrt (z, z, r);
- mpfr_div (z, x, z, r);
- if (mpfr_cmp_si (z, -1) < 0 || mpfr_cmp_ui (z, 1) > 0)
- {
- printf ("Error, -1 <= x/sqrt(x^2+y^2) <= 1 does not hold for r=%s\n",
- mpfr_print_rnd_mode (r));
- printf ("x="); mpfr_dump (x);
- printf ("y="); mpfr_dump (y);
- printf ("got "); mpfr_dump (z);
- exit (1);
- }
-
- mpfr_clear (x);
- mpfr_clear (y);
- mpfr_clear (z);
- mpfr_clear (t);
-}
-
-/* check sqrt(x^2) = x */
-static void
-test_property2 (mp_prec_t p, mp_rnd_t r)
-{
- mpfr_t x, y;
-
- mpfr_init2 (x, p);
- mpfr_init2 (y, p);
-
- mpfr_urandomb (x, RANDS);
- mpfr_mul (y, x, x, r);
- mpfr_sqrt (y, y, r);
- if (mpfr_cmp (y, x))
- {
- printf ("Error, sqrt(x^2) = x does not hold for r=%s\n",
- mpfr_print_rnd_mode (r));
- printf ("x="); mpfr_dump (x);
- printf ("got "); mpfr_dump (y);
- exit (1);
- }
-
- mpfr_clear (x);
- mpfr_clear (y);
-}
-
-#define TEST_FUNCTION test_sqrt
-#define TEST_RANDOM_POS 8
-#include "tgeneric.c"
-
-int
-main (void)
-{
- mp_prec_t p;
- int k;
-
- tests_start_mpfr ();
-
- for (p = MPFR_PREC_MIN; p <= 128; p++)
- {
- test_property1 (p, GMP_RNDN);
- test_property1 (p, GMP_RNDU);
- test_property2 (p, GMP_RNDN);
- }
-
- check_diverse ("635030154261163106768013773815762607450069292760790610550915652722277604820131530404842415587328", 160, "796887792767063979679855997149887366668464780637");
- special ();
- check_nan ();
-
- for (p=2; p<200; p++)
- for (k=0; k<200; k++)
- check_inexact (p);
- check_float();
-
- check3 ("-0.0", GMP_RNDN, "0.0");
- check4 ("6.37983013646045901440e+32", GMP_RNDN, "5.9bc5036d09e0c@13");
- check4 ("1.0", GMP_RNDN, "1");
- check4 ("1.0", GMP_RNDZ, "1");
- check4 ("3.725290298461914062500000e-9", GMP_RNDN, "4@-4");
- check4 ("3.725290298461914062500000e-9", GMP_RNDZ, "4@-4");
- check4 ("1190456976439861.0", GMP_RNDZ, "2.0e7957873529a@6");
- check4 ("1219027943874417664.0", GMP_RNDZ, "4.1cf2af0e6a534@7");
- /* the following examples are bugs in Cygnus compiler/system, found by
- Fabrice Rouillier while porting mpfr to Windows */
- check4 ("9.89438396044940256501e-134", GMP_RNDU, "8.7af7bf0ebbee@-56");
- check4 ("7.86528588050363751914e+31", GMP_RNDZ, "1.f81fc40f32062@13");
- check4 ("0.99999999999999988897", GMP_RNDN, "f.ffffffffffff8@-1");
- check4 ("1.00000000000000022204", GMP_RNDN, "1");
- /* the following examples come from the paper "Number-theoretic Test
- Generation for Directed Rounding" from Michael Parks, Table 4 */
-
- check4 ("78652858805036375191418371571712.0", GMP_RNDN,
- "1.f81fc40f32063@13");
- check4 ("38510074998589467860312736661504.0", GMP_RNDN,
- "1.60c012a92fc65@13");
- check4 ("35318779685413012908190921129984.0", GMP_RNDN,
- "1.51d17526c7161@13");
- check4 ("26729022595358440976973142425600.0", GMP_RNDN,
- "1.25e19302f7e51@13");
- check4 ("22696567866564242819241453027328.0", GMP_RNDN,
- "1.0ecea7dd2ec3d@13");
- check4 ("22696888073761729132924856434688.0", GMP_RNDN,
- "1.0ecf250e8e921@13");
- check4 ("36055652513981905145251657416704.0", GMP_RNDN,
- "1.5552f3eedcf33@13");
- check4 ("30189856268896404997497182748672.0", GMP_RNDN,
- "1.3853ee10c9c99@13");
- check4 ("36075288240584711210898775080960.0", GMP_RNDN,
- "1.556abe212b56f@13");
- check4 ("72154663483843080704304789585920.0", GMP_RNDN,
- "1.e2d9a51977e6e@13");
-
- check4 ("78652858805036375191418371571712.0", GMP_RNDZ,
- "1.f81fc40f32062@13");
- check4 ("38510074998589467860312736661504.0", GMP_RNDZ,
- "1.60c012a92fc64@13");
- check4 ("35318779685413012908190921129984.0", GMP_RNDZ, "1.51d17526c716@13");
- check4 ("26729022595358440976973142425600.0", GMP_RNDZ, "1.25e19302f7e5@13");
- check4 ("22696567866564242819241453027328.0", GMP_RNDZ,
- "1.0ecea7dd2ec3c@13");
- check4 ("22696888073761729132924856434688.0", GMP_RNDZ, "1.0ecf250e8e92@13");
- check4 ("36055652513981905145251657416704.0", GMP_RNDZ,
- "1.5552f3eedcf32@13");
- check4 ("30189856268896404997497182748672.0", GMP_RNDZ,
- "1.3853ee10c9c98@13");
- check4 ("36075288240584711210898775080960.0", GMP_RNDZ,
- "1.556abe212b56e@13");
- check4 ("72154663483843080704304789585920.0", GMP_RNDZ,
- "1.e2d9a51977e6d@13");
-
- check4 ("78652858805036375191418371571712.0", GMP_RNDU,
- "1.f81fc40f32063@13");
- check4 ("38510074998589467860312736661504.0", GMP_RNDU,
- "1.60c012a92fc65@13");
- check4 ("35318779685413012908190921129984.0", GMP_RNDU,
- "1.51d17526c7161@13");
- check4 ("26729022595358440976973142425600.0", GMP_RNDU,
- "1.25e19302f7e51@13");
- check4 ("22696567866564242819241453027328.0", GMP_RNDU,
- "1.0ecea7dd2ec3d@13");
- check4 ("22696888073761729132924856434688.0", GMP_RNDU,
- "1.0ecf250e8e921@13");
- check4 ("36055652513981905145251657416704.0", GMP_RNDU,
- "1.5552f3eedcf33@13");
- check4 ("30189856268896404997497182748672.0", GMP_RNDU,
- "1.3853ee10c9c99@13");
- check4 ("36075288240584711210898775080960.0", GMP_RNDU,
- "1.556abe212b56f@13");
- check4 ("72154663483843080704304789585920.0", GMP_RNDU,
- "1.e2d9a51977e6e@13");
-
- check4 ("78652858805036375191418371571712.0", GMP_RNDD,
- "1.f81fc40f32062@13");
- check4 ("38510074998589467860312736661504.0", GMP_RNDD,
- "1.60c012a92fc64@13");
- check4 ("35318779685413012908190921129984.0", GMP_RNDD, "1.51d17526c716@13");
- check4 ("26729022595358440976973142425600.0", GMP_RNDD, "1.25e19302f7e5@13");
- check4 ("22696567866564242819241453027328.0", GMP_RNDD,
- "1.0ecea7dd2ec3c@13");
- check4 ("22696888073761729132924856434688.0", GMP_RNDD, "1.0ecf250e8e92@13");
- check4 ("36055652513981905145251657416704.0", GMP_RNDD,
- "1.5552f3eedcf32@13");
- check4 ("30189856268896404997497182748672.0", GMP_RNDD,
- "1.3853ee10c9c98@13");
- check4 ("36075288240584711210898775080960.0", GMP_RNDD,
- "1.556abe212b56e@13");
- check4 ("72154663483843080704304789585920.0", GMP_RNDD,
- "1.e2d9a51977e6d@13");
-
- test_generic (2, 300, 15);
- data_check ("data/sqrt", mpfr_sqrt, "mpfr_sqrt");
- bad_cases (mpfr_sqrt, mpfr_sqr, "mpfr_sqrt", 8, -256, 255, 4, 128, 800, 50);
-
- tests_end_mpfr ();
- return 0;
-}
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