--- /dev/null
+/* 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;
+}
projects / msp430-gcc.git / blobdiff