--- /dev/null
+/* Test file for mpfr_cmp2.
+
+Copyright 1999, 2000, 2001, 2002, 2003, 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"
+
+/* set bit n of x to b, where bit 0 is the most significant one */
+static void
+set_bit (mpfr_t x, unsigned int n, int b)
+{
+ unsigned l;
+ mp_size_t xn;
+
+ xn = (MPFR_PREC(x) - 1) / mp_bits_per_limb;
+ l = n / mp_bits_per_limb;
+ n %= mp_bits_per_limb;
+ n = mp_bits_per_limb - 1 - n;
+ if (b)
+ MPFR_MANT(x)[xn - l] |= (mp_limb_t) 1 << n;
+ else
+ MPFR_MANT(x)[xn - l] &= ~((mp_limb_t) 1 << n);
+}
+
+/* check that for x = 1.u 1 v 0^k low(x)
+ y = 1.u 0 v 1^k low(y)
+ mpfr_cmp2 (x, y) returns 1 + |u| + |v| + k for low(x) >= low(y),
+ and 1 + |u| + |v| + k + 1 otherwise */
+static void
+worst_cases (void)
+{
+ mpfr_t x, y;
+ unsigned int i, j, k, b, expected;
+ mp_prec_t l;
+
+ mpfr_init2 (x, 200);
+ mpfr_init2 (y, 200);
+
+ mpfr_set_ui (y, 1, GMP_RNDN);
+ for (i = 1; i < MPFR_PREC(x); i++)
+ {
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ mpfr_div_2exp (y, y, 1, GMP_RNDN); /* y = 1/2^i */
+
+ l = 0;
+ if (mpfr_cmp2 (x, y, &l) <= 0 || l != 1)
+ {
+ printf ("Error in mpfr_cmp2:\nx=");
+ mpfr_out_str (stdout, 2, 0, x, GMP_RNDN);
+ printf ("\ny=");
+ mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
+ printf ("\ngot %lu instead of 1\n", l);
+ exit (1);
+ }
+
+ mpfr_add (x, x, y, GMP_RNDN); /* x = 1 + 1/2^i */
+ l = 0;
+ if (mpfr_cmp2 (x, y, &l) <= 0 || l != 0)
+ {
+ printf ("Error in mpfr_cmp2:\nx=");
+ mpfr_out_str (stdout, 2, 0, x, GMP_RNDN);
+ printf ("\ny=");
+ mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
+ printf ("\ngot %lu instead of 0\n", l);
+ exit (1);
+ }
+ }
+
+ for (i = 0; i < 64; i++) /* |u| = i */
+ {
+ mpfr_urandomb (x, RANDS);
+ mpfr_set (y, x, GMP_RNDN);
+ set_bit (x, i + 1, 1);
+ set_bit (y, i + 1, 0);
+ for (j = 0; j < 64; j++) /* |v| = j */
+ {
+ b = randlimb () % 2;
+ set_bit (x, i + j + 2, b);
+ set_bit (y, i + j + 2, b);
+ for (k = 0; k < 64; k++)
+ {
+ if (k)
+ set_bit (x, i + j + k + 1, 0);
+ if (k)
+ set_bit (y, i + j + k + 1, 1);
+ set_bit (x, i + j + k + 2, 1);
+ set_bit (y, i + j + k + 2, 0);
+ l = 0; mpfr_cmp2 (x, y, &l);
+ expected = i + j + k + 1;
+ if (l != expected)
+ {
+ printf ("Error in mpfr_cmp2:\nx=");
+ mpfr_out_str (stdout, 2, 0, x, GMP_RNDN);
+ printf ("\ny=");
+ mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
+ printf ("\ngot %lu instead of %u\n", l, expected);
+ exit (1);
+ }
+ set_bit (x, i + j + k + 2, 0);
+ set_bit (x, i + j + k + 3, 0);
+ set_bit (y, i + j + k + 3, 1);
+ l = 0; mpfr_cmp2 (x, y, &l);
+ expected = i + j + k + 2;
+ if (l != expected)
+ {
+ printf ("Error in mpfr_cmp2:\nx=");
+ mpfr_out_str (stdout, 2, 0, x, GMP_RNDN);
+ printf ("\ny=");
+ mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
+ printf ("\ngot %lu instead of %u\n", l, expected);
+ exit (1);
+ }
+ }
+ }
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+}
+
+static void
+tcmp2 (double x, double y, int i)
+{
+ mpfr_t xx, yy;
+ mp_prec_t j;
+
+ if (i == -1)
+ {
+ if (x == y)
+ i = 53;
+ else
+ i = (int) (__gmpfr_floor_log2 (x) - __gmpfr_floor_log2 (x - y));
+ }
+ mpfr_init2(xx, 53); mpfr_init2(yy, 53);
+ mpfr_set_d (xx, x, GMP_RNDN);
+ mpfr_set_d (yy, y, GMP_RNDN);
+ j = 0;
+ if (mpfr_cmp2 (xx, yy, &j) == 0)
+ {
+ if (x != y)
+ {
+ printf ("Error in mpfr_cmp2 for\nx=");
+ mpfr_out_str (stdout, 2, 0, xx, GMP_RNDN);
+ printf ("\ny=");
+ mpfr_out_str (stdout, 2, 0, yy, GMP_RNDN);
+ printf ("\ngot sign 0 for x != y\n");
+ exit (1);
+ }
+ }
+ else if (j != (unsigned) i)
+ {
+ printf ("Error in mpfr_cmp2 for\nx=");
+ mpfr_out_str (stdout, 2, 0, xx, GMP_RNDN);
+ printf ("\ny=");
+ mpfr_out_str (stdout, 2, 0, yy, GMP_RNDN);
+ printf ("\ngot %lu instead of %d\n", j, i);
+ exit (1);
+ }
+ mpfr_clear(xx); mpfr_clear(yy);
+}
+
+static void
+special (void)
+{
+ mpfr_t x, y;
+ mp_prec_t j;
+
+ mpfr_init (x); mpfr_init (y);
+
+ /* bug found by Nathalie Revol, 21 March 2001 */
+ mpfr_set_prec (x, 65);
+ mpfr_set_prec (y, 65);
+ mpfr_set_str_binary (x, "0.10000000000000000000000000000000000001110010010110100110011110000E1");
+ mpfr_set_str_binary (y, "0.11100100101101001100111011111111110001101001000011101001001010010E-35");
+ j = 0;
+ if (mpfr_cmp2 (x, y, &j) <= 0 || j != 1)
+ {
+ printf ("Error in mpfr_cmp2:\n");
+ printf ("x=");
+ mpfr_print_binary (x);
+ puts ("");
+ printf ("y=");
+ mpfr_print_binary (y);
+ puts ("");
+ printf ("got %lu, expected 1\n", j);
+ exit (1);
+ }
+
+ mpfr_set_prec(x, 127); mpfr_set_prec(y, 127);
+ mpfr_set_str_binary(x, "0.1011010000110111111000000101011110110001000101101011011110010010011110010000101101000010011001100110010000000010110000101000101E6");
+ mpfr_set_str_binary(y, "0.1011010000110111111000000101011011111100011101000011001111000010100010100110110100110010011001100110010000110010010110000010110E6");
+ j = 0;
+ if (mpfr_cmp2(x, y, &j) <= 0 || j != 32)
+ {
+ printf ("Error in mpfr_cmp2:\n");
+ printf ("x="); mpfr_print_binary(x); puts ("");
+ printf ("y="); mpfr_print_binary(y); puts ("");
+ printf ("got %lu, expected 32\n", j);
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 128); mpfr_set_prec (y, 239);
+ mpfr_set_str_binary (x, "0.10001000110110000111011000101011111100110010010011001101000011111010010110001000000010100110100111111011011010101100100000000000E167");
+ mpfr_set_str_binary (y, "0.10001000110110000111011000101011111100110010010011001101000011111010010110001000000010100110100111111011011010101100011111111111111111111111111111111111111111111111011111100101011100011001101000100111000010000000000101100110000111111000101E167");
+ j = 0;
+ if (mpfr_cmp2(x, y, &j) <= 0 || j != 164)
+ {
+ printf ("Error in mpfr_cmp2:\n");
+ printf ("x="); mpfr_print_binary(x); puts ("");
+ printf ("y="); mpfr_print_binary(y); puts ("");
+ printf ("got %lu, expected 164\n", j);
+ exit (1);
+ }
+
+ /* bug found by Nathalie Revol, 29 March 2001 */
+ mpfr_set_prec (x, 130); mpfr_set_prec (y, 130);
+ mpfr_set_str_binary (x, "0.1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E2");
+ mpfr_set_str_binary (y, "0.1011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111100E2");
+ j = 0;
+ if (mpfr_cmp2(x, y, &j) <= 0 || j != 127)
+ {
+ printf ("Error in mpfr_cmp2:\n");
+ printf ("x="); mpfr_print_binary(x); puts ("");
+ printf ("y="); mpfr_print_binary(y); puts ("");
+ printf ("got %lu, expected 127\n", j);
+ exit (1);
+ }
+
+ /* bug found by Nathalie Revol, 2 Apr 2001 */
+ mpfr_set_prec (x, 65); mpfr_set_prec (y, 65);
+ mpfr_set_ui (x, 5, GMP_RNDN);
+ mpfr_set_str_binary (y, "0.10011111111111111111111111111111111111111111111111111111111111101E3");
+ j = 0;
+ if (mpfr_cmp2(x, y, &j) <= 0 || j != 63)
+ {
+ printf ("Error in mpfr_cmp2:\n");
+ printf ("x="); mpfr_print_binary(x); puts ("");
+ printf ("y="); mpfr_print_binary(y); puts ("");
+ printf ("got %lu, expected 63\n", j);
+ exit (1);
+ }
+
+ /* bug found by Nathalie Revol, 2 Apr 2001 */
+ mpfr_set_prec (x, 65); mpfr_set_prec (y, 65);
+ mpfr_set_str_binary (x, "0.10011011111000101001110000000000000000000000000000000000000000000E-69");
+ mpfr_set_str_binary (y, "0.10011011111000101001101111111111111111111111111111111111111111101E-69");
+ j = 0;
+ if (mpfr_cmp2(x, y, &j) <= 0 || j != 63)
+ {
+ printf ("Error in mpfr_cmp2:\n");
+ printf ("x="); mpfr_print_binary(x); puts ("");
+ printf ("y="); mpfr_print_binary(y); puts ("");
+ printf ("got %lu, expected 63\n", j);
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 65);
+ mpfr_set_prec (y, 32);
+ mpfr_set_str_binary (x, "1.1110111011110001110111011111111111101000011001011100101100101101");
+ mpfr_set_str_binary (y, "0.11101110111100011101110111111111");
+ if (mpfr_cmp2 (x, y, &j) <= 0 || j != 0)
+ {
+ printf ("Error in mpfr_cmp2 (1)\n");
+ exit (1);
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+}
+
+int
+main (void)
+{
+ int i;
+ long j;
+ double x, y, z;
+
+ tests_start_mpfr ();
+ mpfr_test_init ();
+
+ worst_cases ();
+ special ();
+ tcmp2 (5.43885304644369510000e+185, -1.87427265794105340000e-57, 1);
+ tcmp2 (1.06022698059744327881e+71, 1.05824655795525779205e+71, -1);
+ tcmp2 (1.0, 1.0, 53);
+ /* warning: cmp2 does not allow 0 as input */
+ for (x = 0.5, i = 1; i < 54; i++)
+ {
+ tcmp2 (1.0, 1.0-x, i);
+ x /= 2.0;
+ }
+ for (x = 0.5, i = 1; i < 100; i++)
+ {
+ tcmp2 (1.0, x, 1);
+ x /= 2.0;
+ }
+ for (j = 0; j < 100000; j++)
+ {
+ x = DBL_RAND ();
+ y = DBL_RAND ();
+ if (x < y)
+ {
+ z = x;
+ x = y;
+ y = z;
+ }
+ if (y != 0.0)
+ tcmp2 (x, y, -1);
+ }
+
+ tests_end_mpfr ();
+
+ return 0;
+}
projects / msp430-gcc.git / blobdiff