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/* Test file for mpfr_cmp2.
Copyright (C) 1999-2001 Free Software Foundation.
This file is part of the MPFR Library.
The 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 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 MPFR Library; see the file COPYING.LIB. If not, write to
the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
MA 02111-1307, USA. */
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include "gmp.h"
#include "mpfr.h"
#include "mpfr-impl.h"
#include "mpfr-test.h"
void tcmp2 (double, double, int);
void special (void);
void worst_cases (void);
void set_bit (mpfr_t, unsigned int, int);
/* set bit n of x to b, where bit 0 is the most significant one */
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 */
void
worst_cases ()
{
mpfr_t x, y;
unsigned int i, j, k, l, b, expected;
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 */
if ((l = mpfr_cmp2 (x, y)) != 1)
{
fprintf (stderr, "Error in mpfr_cmp2:\nx=");
mpfr_out_str (stderr, 2, 0, x, GMP_RNDN);
fprintf (stderr, "\ny=");
mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
fprintf (stderr, "\ngot %u instead of %u\n", l, 1);
exit(1);
}
mpfr_add (x, x, y, GMP_RNDN); /* x = 1 + 1/2^i */
if ((l = mpfr_cmp2 (x, y)) != 0)
{
fprintf (stderr, "Error in mpfr_cmp2:\nx=");
mpfr_out_str (stderr, 2, 0, x, GMP_RNDN);
fprintf (stderr, "\ny=");
mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
fprintf (stderr, "\ngot %u instead of %u\n", l, 0);
exit(1);
}
}
for (i=0; i<64; i++) /* |u| = i */
{
mpfr_random (x);
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 = random () % 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 = mpfr_cmp2 (x, y);
expected = i + j + k + 1;
if (l != expected)
{
fprintf (stderr, "Error in mpfr_cmp2:\nx=");
mpfr_out_str (stderr, 2, 0, x, GMP_RNDN);
fprintf (stderr, "\ny=");
mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
fprintf (stderr, "\ngot %u 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 = mpfr_cmp2 (x, y);
expected = i + j + k + 2;
if (l != expected)
{
fprintf (stderr, "Error in mpfr_cmp2:\nx=");
mpfr_out_str (stderr, 2, 0, x, GMP_RNDN);
fprintf (stderr, "\ny=");
mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
fprintf (stderr, "\ngot %u instead of %u\n", l, expected);
exit(1);
}
}
}
}
mpfr_clear (x);
mpfr_clear (y);
}
void
tcmp2 (double x, double y, int i)
{
mpfr_t xx, yy;
int j;
if (i==-1) {
if (x==y) i=53;
else i = (int) floor(log(x)/log(2.0)) - (int) floor(log(x-y)/log(2.0));
}
mpfr_init2(xx, 53); mpfr_init2(yy, 53);
mpfr_set_d (xx, x, GMP_RNDN);
mpfr_set_d (yy, y, GMP_RNDN);
j = mpfr_cmp2 (xx, yy);
if (j != i) {
fprintf (stderr, "Error in mpfr_cmp2 for\nx=");
mpfr_out_str (stderr, 2, 0, xx, GMP_RNDN);
fprintf (stderr, "\ny=");
mpfr_out_str (stderr, 2, 0, yy, GMP_RNDN);
fprintf (stderr, "\ngot %u instead of %u\n", j, i);
exit(1);
}
mpfr_clear(xx); mpfr_clear(yy);
}
void special ()
{
mpfr_t x, y;
int 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_raw (x, "0.10000000000000000000000000000000000001110010010110100110011110000E1");
mpfr_set_str_raw (y, "0.11100100101101001100111011111111110001101001000011101001001010010E-35");
if ((j = mpfr_cmp2 (x, y)) != 1) {
printf ("Error in mpfr_cmp2:\n");
printf ("x=");
mpfr_print_raw (x);
putchar ('\n');
printf ("y=");
mpfr_print_raw (y);
putchar ('\n');
printf ("got %d, expected 1\n", j);
exit (1);
}
mpfr_set_prec(x, 127); mpfr_set_prec(y, 127);
mpfr_set_str_raw(x, "0.1011010000110111111000000101011110110001000101101011011110010010011110010000101101000010011001100110010000000010110000101000101E6");
mpfr_set_str_raw(y, "0.1011010000110111111000000101011011111100011101000011001111000010100010100110110100110010011001100110010000110010010110000010110E6");
if ((j=mpfr_cmp2(x, y)) != 32) {
printf("Error in mpfr_cmp2:\n");
printf("x="); mpfr_print_raw(x); putchar('\n');
printf("y="); mpfr_print_raw(y); putchar('\n');
printf("got %d, expected 32\n", j);
exit(1);
}
mpfr_set_prec (x, 128); mpfr_set_prec (y, 239);
mpfr_set_str_raw (x, "0.10001000110110000111011000101011111100110010010011001101000011111010010110001000000010100110100111111011011010101100100000000000E167");
mpfr_set_str_raw (y, "0.10001000110110000111011000101011111100110010010011001101000011111010010110001000000010100110100111111011011010101100011111111111111111111111111111111111111111111111011111100101011100011001101000100111000010000000000101100110000111111000101E167");
if ((j=mpfr_cmp2(x, y)) != 164) {
printf("Error in mpfr_cmp2:\n");
printf("x="); mpfr_print_raw(x); putchar('\n');
printf("y="); mpfr_print_raw(y); putchar('\n');
printf("got %d, 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_raw (x, "0.1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E2");
mpfr_set_str_raw (y, "0.1011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111100E2");
if ((j=mpfr_cmp2(x, y)) != 127) {
printf("Error in mpfr_cmp2:\n");
printf("x="); mpfr_print_raw(x); putchar('\n');
printf("y="); mpfr_print_raw(y); putchar('\n');
printf("got %d, 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_raw (y, "0.10011111111111111111111111111111111111111111111111111111111111101E3");
if ((j=mpfr_cmp2(x, y)) != 63) {
printf("Error in mpfr_cmp2:\n");
printf("x="); mpfr_print_raw(x); putchar('\n');
printf("y="); mpfr_print_raw(y); putchar('\n');
printf("got %d, 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_raw (x, "0.10011011111000101001110000000000000000000000000000000000000000000E-69");
mpfr_set_str_raw (y, "0.10011011111000101001101111111111111111111111111111111111111111101E-69");
if ((j=mpfr_cmp2(x, y)) != 63) {
printf("Error in mpfr_cmp2:\n");
printf("x="); mpfr_print_raw(x); putchar('\n');
printf("y="); mpfr_print_raw(y); putchar('\n');
printf("got %d, expected 63\n", j);
exit(1);
}
mpfr_clear(x); mpfr_clear(y);
}
int
main (void)
{
int i,j; double x=1.0, y, z;
#ifdef __mips
/* to get denormalized numbers on IRIX64 */
union fpc_csr exp;
exp.fc_word = get_fpc_csr();
exp.fc_struct.flush = 0;
set_fpc_csr(exp.fc_word);
#endif
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);
for (i=0;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 = drand48();
y = drand48();
if (x<y) { z=x; x=y; y=z; }
if (y != 0.0 && y != -0.0) tcmp2(x, y, -1);
}
return 0;
}
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