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/* Test file for mpfr_div.
Copyright (C) 1999 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 Library General Public License as published by
the Free Software Foundation; either version 2 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 Library General Public
License for more details.
You should have received a copy of the GNU Library 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 <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <unistd.h>
#include "gmp.h"
#include "gmp-impl.h"
#include "mpfr.h"
#include "mpfr-impl.h"
#ifdef __mips
#include <sys/fpu.h>
#endif
extern int isnan();
#define check53(n, d, rnd, res) check4(n, d, rnd, 53, res)
void check4(N, D, rnd_mode, p, Q)
double N, D, Q; unsigned char rnd_mode; int p;
{
mpfr_t q, n, d; double Q2;
mpfr_init2(q, p); mpfr_init2(n, p); mpfr_init2(d, p);
mpfr_set_d(n, N, rnd_mode);
mpfr_set_d(d, D, rnd_mode);
mpfr_div(q, n, d, rnd_mode);
#ifdef TEST
mpfr_set_machine_rnd_mode(rnd_mode);
#endif
if (Q==0.0) Q = N/D;
Q2 = mpfr_get_d(q);
if (p==53 && Q!=Q2 && (!isnan(Q) || !isnan(Q2))) {
printf("mpfr_div failed for n=%1.20e, d=%1.20e, rnd_mode=%s\n",
N, D, mpfr_print_rnd_mode(rnd_mode));
printf("expected quotient is %1.20e, got %1.20e (%d ulp)\n", Q, Q2,
ulp(Q2, Q));
exit(1);
}
mpfr_clear(q); mpfr_clear(n); mpfr_clear(d);
}
void check24(float N, float D, unsigned char rnd_mode, float Q)
{
mpfr_t q, n, d; float Q2;
mpfr_init2(q, 24); mpfr_init2(n, 24); mpfr_init2(d, 24);
mpfr_set_d(n, N, rnd_mode);
mpfr_set_d(d, D, rnd_mode);
mpfr_div(q, n, d, rnd_mode);
Q2 = mpfr_get_d(q);
if (Q!=Q2) {
printf("mpfr_div failed for n=%1.10e, d=%1.10e, prec=24, rnd_mode=%s\n",
N, D, mpfr_print_rnd_mode(rnd_mode));
printf("expected quotient is %1.10e, got %1.10e\n", Q, Q2);
exit(1);
}
mpfr_clear(q); mpfr_clear(n); mpfr_clear(d);
}
/* the following examples come from the paper "Number-theoretic Test
Generation for Directed Rounding" from Michael Parks, Table 2 */
void check_float()
{
float b=8388608.0; /* 2^23 */
check24(b*8388610.0, 8388609.0, GMP_RNDN, 8.388609e6);
check24(b*16777215.0, 16777213.0, GMP_RNDN, 8.388609e6);
check24(b*8388612.0, 8388611.0, GMP_RNDN, 8.388609e6);
check24(b*12582914.0, 12582911.0, GMP_RNDN, 8.38861e6);
check24(12582913.0, 12582910.0, GMP_RNDN, 1.000000238);
check24(b*16777215.0, 8388609.0, GMP_RNDN, 1.6777213e7);
check24(b*8388612.0, 8388609.0, GMP_RNDN, 8.388611e6);
check24(b*12582914.0, 8388610.0, GMP_RNDN, 1.2582911e7);
check24(b*12582913.0, 8388610.0, GMP_RNDN, 1.258291e7);
check24(b*8388610.0, 8388609.0, GMP_RNDZ, 8.388608e6);
check24(b*16777215.0, 16777213.0, GMP_RNDZ, 8.388609e6);
check24(b*8388612.0, 8388611.0, GMP_RNDZ, 8.388608e6);
check24(b*12582914.0, 12582911.0, GMP_RNDZ, 8.38861e6);
check24(12582913.0, 12582910.0, GMP_RNDZ, 1.000000238);
check24(b*16777215.0, 8388609.0, GMP_RNDZ, 1.6777213e7);
check24(b*8388612.0, 8388609.0, GMP_RNDZ, 8.38861e6);
check24(b*12582914.0, 8388610.0, GMP_RNDZ, 1.2582911e7);
check24(b*12582913.0, 8388610.0, GMP_RNDZ, 1.258291e7);
check24(b*8388610.0, 8388609.0, GMP_RNDU, 8.388609e6);
check24(b*16777215.0, 16777213.0, GMP_RNDU, 8.38861e6);
check24(b*8388612.0, 8388611.0, GMP_RNDU, 8.388609e6);
check24(b*12582914.0, 12582911.0, GMP_RNDU, 8.388611e6);
check24(12582913.0, 12582910.0, GMP_RNDU, 1.000000357);
check24(b*16777215.0, 8388609.0, GMP_RNDU, 1.6777214e7);
check24(b*8388612.0, 8388609.0, GMP_RNDU, 8.388611e6);
check24(b*12582914.0, 8388610.0, GMP_RNDU, 1.2582912e7);
check24(b*12582913.0, 8388610.0, GMP_RNDU, 1.2582911e7);
check24(b*8388610.0, 8388609.0, GMP_RNDD, 8.388608e6);
check24(b*16777215.0, 16777213.0, GMP_RNDD, 8.388609e6);
check24(b*8388612.0, 8388611.0, GMP_RNDD, 8.388608e6);
check24(b*12582914.0, 12582911.0, GMP_RNDD, 8.38861e6);
check24(12582913.0, 12582910.0, GMP_RNDD, 1.000000238);
check24(b*16777215.0, 8388609.0, GMP_RNDD, 1.6777213e7);
check24(b*8388612.0, 8388609.0, GMP_RNDD, 8.38861e6);
check24(b*12582914.0, 8388610.0, GMP_RNDD, 1.2582911e7);
check24(b*12582913.0, 8388610.0, GMP_RNDD, 1.258291e7);
}
void check_convergence()
{
mpfr_t x, y; int i, j;
mpfr_init2(x, 130);
mpfr_set_str_raw(x, "0.1011111101011010101000001010011111101000011100011101010011111011000011001010000000111100100111110011001010110100100001001000111001E6944");
mpfr_init2(y, 130);
mpfr_set_ui(y, 5, GMP_RNDN);
mpfr_div(x, x, y, GMP_RNDD); /* exact division */
mpfr_set_prec(x, 64);
mpfr_set_prec(y, 64);
mpfr_set_str_raw(x, "0.10010010011011010100101001010111100000101110010010101E55");
mpfr_set_str_raw(y, "0.1E585");
mpfr_div(x, x, y, GMP_RNDN);
mpfr_set_str_raw(y, "0.10010010011011010100101001010111100000101110010010101E-529");
if (mpfr_cmp(x, y)) {
fprintf(stderr, "Error in mpfr_div for prec=64, rnd=GMP_RNDN\n");
printf("got "); mpfr_print_raw(x); putchar('\n');
printf("instead of "); mpfr_print_raw(y); putchar('\n');
exit(1);
}
for (i=32; i<=64; i+=32) {
mpfr_set_prec(x, i);
mpfr_set_prec(y, i);
mpfr_set_d(x, 1.0, GMP_RNDN);
for (j=0;j<4;j++) {
mpfr_set_d(y, 1.0, GMP_RNDN);
mpfr_div(y, x, y, j);
if (mpfr_cmp_ui(y, 1)) {
fprintf(stderr, "mpfr_div failed for x=1.0, y=1.0, prec=%u rnd=%s\n",
i, mpfr_print_rnd_mode(j));
printf("got "); mpfr_print_raw(y); putchar('\n');
exit(1);
}
}
}
mpfr_clear(x); mpfr_clear(y);
}
int main(int argc, char *argv[])
{
int N;
#ifdef TEST
int i; double n, d, e;
#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
#endif
N = (argc>1) ? atoi(argv[1]) : 100000;
check_float(); /* checks single precision */
check_convergence();
check53(0.0, 1.0, GMP_RNDZ, 0.0);
check53(-7.4988969224688591e63, 4.8816866450288732e306, GMP_RNDD,
-1.5361282826510687291e-243);
check53(-1.33225773037748601769e+199, 3.63449540676937123913e+79, GMP_RNDZ,
-3.6655920045905428978e119);
check4(4.0, 4.503599627370496e15, GMP_RNDZ, 62, 0.0);
check4(1.0, 2.10263340267725788209e+187, GMP_RNDU, 65, 0.0);
check4(2.44394909079968374564e-150, 2.10263340267725788209e+187, GMP_RNDU,
65, 0.0);
check53(9.89438396044940256501e-134, 5.93472984109987421717e-67, GMP_RNDU,
1.6672003992376663654e-67);
check53(9.89438396044940256501e-134, -5.93472984109987421717e-67, GMP_RNDU,
-1.6672003992376663654e-67);
check53(-4.53063926135729747564e-308, 7.02293374921793516813e-84, GMP_RNDD,
-6.4512060388748850857e-225);
check53(6.25089225176473806123e-01, -2.35527154824420243364e-230, GMP_RNDD,
-2.6540006635008291192e229);
check53(6.52308934689126e15, -1.62063546601505417497e273, GMP_RNDN,
-4.0250194961676020848e-258);
check53(1.04636807108079349236e-189, 3.72295730823253012954e-292, GMP_RNDZ,
2.810583051186143125e102);
#ifdef TEST
srand48(getpid());
for (i=0;i<N;i++) {
do { n = drand(); d = drand(); e = fabs(n)/fabs(d); }
/* smallest normalized is 2^(-1022), largest is 2^(1023)*(2-2^(-52)) */
while (e>=1.7976931348623157081e308 || e<2.225073858507201383e-308);
check4(n, d, rand() % 4, 53, 0.0);
}
#endif
return 0;
}
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