path: root/tests/tadd.c

/* Test file for mpfr_add and mpfr_sub.

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. */

#define N 100000

#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "gmp.h"
#include "mpfr.h"
#include "mpfr-impl.h"
#include "mpfr-test.h"

extern int isnan();
extern int getpid();
void check _PROTO((double, double, unsigned int, unsigned int, unsigned int, unsigned int, double)); 
void checknan _PROTO((double, double, unsigned int, unsigned int, unsigned int, unsigned int)); 
void check3 _PROTO((double, double, unsigned int)); 
void check4 _PROTO((double, double, unsigned int)); 
void check5 _PROTO((double, unsigned int)); 
void check2 _PROTO((double, int, double, int, int, int)); 
void check2a _PROTO((double, int, double, int, int, int, char *)); 
void check64 _PROTO((void)); 
void check_same _PROTO((void)); 

/* checks that x+y gives the same results in double
   and with mpfr with 53 bits of precision */
void check (double x, double y, mp_rnd_t rnd_mode, unsigned int px, 
unsigned int py, unsigned int pz, double z1)
{
  double z2; mpfr_t xx,yy,zz; int cert=0;

  mpfr_init2(xx, px);
  mpfr_init2(yy, py);
  mpfr_init2(zz, pz);
  mpfr_set_d(xx, x, rnd_mode);
  mpfr_set_d(yy, y, rnd_mode);
  mpfr_add(zz, xx, yy, rnd_mode);
#ifdef TEST
  mpfr_set_machine_rnd_mode(rnd_mode);
  if (px==53 && py==53 && pz==53) cert=1;
#endif
  if (z1==0.0) z1=x+y; else cert=1;
  z2 = mpfr_get_d(zz);
  if (cert && z1!=z2 && !(isnan(z1) && isnan(z2))) {
    printf("expected sum is %1.20e, got %1.20e\n",z1,z2);
    printf("mpfr_add failed for x=%1.20e y=%1.20e with rnd_mode=%s\n",
	   x, y, mpfr_print_rnd_mode(rnd_mode));
    exit(1);
  }
  mpfr_clear(xx); mpfr_clear(yy); mpfr_clear(zz);
}

void checknan (double x, double y, mp_rnd_t rnd_mode, unsigned int px, 
unsigned int py, unsigned int pz)
{
<<<<<<< tadd.c
  double z2; mpfr_t xx, yy, zz;
=======
  double z2; mpfr_t xx,yy,zz; 
#ifdef TEST
  int cert=0;
#endif
>>>>>>> 1.40

  mpfr_init2(xx, px);
  mpfr_init2(yy, py);
  mpfr_init2(zz, pz);
  mpfr_set_d(xx, x, rnd_mode);
  mpfr_set_d(yy, y, rnd_mode);
  mpfr_add(zz, xx, yy, rnd_mode);
#ifdef TEST
  mpfr_set_machine_rnd_mode(rnd_mode);
#endif
  if (MPFR_IS_NAN(zz) == 0) { printf("Error, not an MPFR_NAN for xx = %1.20e, y = %1.20e\n", x, y); exit(1); }
  z2 = mpfr_get_d(zz);
  if (!isnan(z2)) { printf("Error, not a NaN after conversion, xx = %1.20e yy = %1.20e\n", x, y); exit(1); }

  mpfr_clear(xx); mpfr_clear(yy); mpfr_clear(zz);
}

#ifdef TEST
/* idem than check for mpfr_add(x, x, y) */
void check3 (double x, double y, mp_rnd_t rnd_mode)
{
  double z1,z2; mpfr_t xx,yy; int neg;

  neg = rand() % 2;
  mpfr_init2(xx, 53);
  mpfr_init2(yy, 53);
  mpfr_set_d(xx, x, rnd_mode);
  mpfr_set_d(yy, y, rnd_mode);
  if (neg) mpfr_sub(xx, xx, yy, rnd_mode);
  else mpfr_add(xx, xx, yy, rnd_mode);
  mpfr_set_machine_rnd_mode(rnd_mode);
  z1 = (neg) ? x-y : x+y;
  z2 = mpfr_get_d(xx);
  if (z1!=z2 && !(isnan(z1) && isnan(z2))) {
    printf("expected result is %1.20e, got %1.20e\n",z1,z2);
    printf("mpfr_%s(x,x,y) failed for x=%1.20e y=%1.20e with rnd_mode=%u\n",
	   (neg) ? "sub" : "add",x,y,rnd_mode);
    exit(1);
  }
  mpfr_clear(xx); mpfr_clear(yy);
}

/* idem than check for mpfr_add(x, y, x) */
void check4 (double x, double y, mp_rnd_t rnd_mode)
{
  double z1,z2; mpfr_t xx,yy; int neg;

  neg = rand() % 2;
  mpfr_init2(xx, 53);
  mpfr_init2(yy, 53);
  mpfr_set_d(xx, x, rnd_mode);
  mpfr_set_d(yy, y, rnd_mode);
  if (neg) mpfr_sub(xx, yy, xx, rnd_mode);
  else mpfr_add(xx, yy, xx, rnd_mode);
  mpfr_set_machine_rnd_mode(rnd_mode);
  z1 = (neg) ? y-x : x+y;
  z2 = mpfr_get_d(xx);
  if (z1!=z2 && !(isnan(z1) && isnan(z2))) {
    printf("expected result is %1.20e, got %1.20e\n",z1,z2);
    printf("mpfr_%s(x,y,x) failed for x=%1.20e y=%1.20e with rnd_mode=%u\n",
	   (neg) ? "sub" : "add",x,y,rnd_mode);
    exit(1);
  }
  mpfr_clear(xx); mpfr_clear(yy);
}

/* idem than check for mpfr_add(x, x, x) */
void check5 (double x, mp_rnd_t rnd_mode)
{
  double z1,z2; mpfr_t xx; int neg;

  mpfr_init2(xx, 53); neg = rand() % 2;
  mpfr_set_d(xx, x, rnd_mode);
  if (neg) mpfr_sub(xx, xx, xx, rnd_mode);
  else mpfr_add(xx, xx, xx, rnd_mode);
  mpfr_set_machine_rnd_mode(rnd_mode);
  z1 = (neg) ? x-x : x+x;
  z2 = mpfr_get_d(xx);
  if (z1!=z2 && !(isnan(z1) && isnan(z2))) {
    printf("expected result is %1.20e, got %1.20e\n",z1,z2);
    printf("mpfr_%s(x,x,x) failed for x=%1.20e with rnd_mode=%u\n",
	   (neg) ? "sub" : "add",x,rnd_mode);
    exit(1);
  }
  mpfr_clear(xx);
}

<<<<<<< tadd.c
void check2 (double x, int px, double y, int py, int pz, mp_rnd_t rnd_mode)
=======
void check2(x,px,y,py,pz,rnd_mode) double x,y; int px,py,pz,rnd_mode;
>>>>>>> 1.40
{
  mpfr_t xx, yy, zz; double z,z2; int u;

  mpfr_init2(xx,px); mpfr_init2(yy,py); mpfr_init2(zz,pz);
  mpfr_set_d(xx, x, rnd_mode);
  mpfr_set_d(yy, y, rnd_mode);
  mpfr_add(zz, xx, yy, rnd_mode);
  mpfr_set_machine_rnd_mode(rnd_mode);
  z = x+y; z2=mpfr_get_d(zz); u=ulp(z,z2);
  /* one ulp difference is possible due to composed rounding */
  if (px>=53 && py>=53 && pz>=53 && ABS(u)>1) { 
    printf("x=%1.20e,%d y=%1.20e,%d pz=%d,rnd=%s\n",
	   x,px,y,py,pz,mpfr_print_rnd_mode(rnd_mode));
    printf("got %1.20e\n",z2);
    printf("result should be %1.20e (diff=%d ulp)\n",z,u);
    mpfr_set_d(zz, z, rnd_mode);
    printf("i.e."); mpfr_print_raw(zz); putchar('\n');
    exit(1); }
  mpfr_clear(xx); mpfr_clear(yy); mpfr_clear(zz);
}
#endif

void check2a (double x, int px, double y, int py, int pz, mp_rnd_t rnd_mode,
	      char *res)
{
  mpfr_t xx, yy, zz;

  mpfr_init2(xx,px); mpfr_init2(yy,py); mpfr_init2(zz,pz);
  mpfr_set_d(xx, x, rnd_mode);
  mpfr_set_d(yy, y, rnd_mode);
  mpfr_add(zz, xx, yy, rnd_mode);
  mpfr_set_prec(xx, pz);
  mpfr_set_str(xx, res, 16, GMP_RNDN);
  if (mpfr_cmp(xx, zz)) { 
    printf("x=%1.20e,%d y=%1.20e,%d pz=%d,rnd=%s\n",
	   x,px,y,py,pz,mpfr_print_rnd_mode(rnd_mode));
    printf("got        "); mpfr_print_raw(zz); putchar('\n');
    printf("instead of "); mpfr_print_raw(xx); putchar('\n');
    exit(1); 
  }
  mpfr_clear(xx); mpfr_clear(yy); mpfr_clear(zz);
}

void check64 ()
{
  mpfr_t x, t, u;

  mpfr_init(x); mpfr_init(t); mpfr_init(u);

  mpfr_set_prec(x, 53); mpfr_set_prec(t, 76); mpfr_set_prec(u, 76);
  mpfr_set_str_raw(x, "-0.10010010001001011011110000000000001010011011011110001E-32");
  mpfr_set_str_raw(t, "-0.1011000101110010000101111111011111010001110011110111100110101011110010011111");
  mpfr_sub(u, x, t, GMP_RNDU);
  mpfr_set_str_raw(t, "0.1011000101110010000101111111011100111111101010011011110110101011101000000100");
  if (mpfr_cmp(u,t)) {
    printf("expect "); mpfr_print_raw(t); putchar('\n');
    fprintf(stderr, "mpfr_add failed for precisions 53-76\n"); exit(1);
  }
  mpfr_set_prec(x, 53); mpfr_set_prec(t, 108); mpfr_set_prec(u, 108);
  mpfr_set_str_raw(x, "-0.10010010001001011011110000000000001010011011011110001E-32");
  mpfr_set_str_raw(t, "-0.101100010111001000010111111101111101000111001111011110011010101111001001111000111011001110011000000000111111");
  mpfr_sub(u, x, t, GMP_RNDU);
  mpfr_set_str_raw(t, "0.101100010111001000010111111101110011111110101001101111011010101110100000001011000010101110011000000000111111");
  if (mpfr_cmp(u,t)) {
    printf("expect "); mpfr_print_raw(t); putchar('\n');
    fprintf(stderr, "mpfr_add failed for precisions 53-108\n"); exit(1);
  }
  mpfr_set_prec(x, 97); mpfr_set_prec(t, 97); mpfr_set_prec(u, 97);
  mpfr_set_str_raw(x, "0.1111101100001000000001011000110111101000001011111000100001000101010100011111110010000000000000000E-39");
  mpfr_set_ui(t, 1, GMP_RNDN);
  mpfr_add(u, x, t, GMP_RNDN);
  mpfr_set_str_raw(x, "0.1000000000000000000000000000000000000000111110110000100000000101100011011110100000101111100010001E1");
  if (mpfr_cmp(u,x)) {
    fprintf(stderr, "mpfr_add failed for precision 97\n"); exit(1);
  }
  mpfr_set_prec(x, 128); mpfr_set_prec(t, 128); mpfr_set_prec(u, 128);
  mpfr_set_str_raw(x, "0.10101011111001001010111011001000101100111101000000111111111011010100001100011101010001010111111101111010100110111111100101100010E-4");
  mpfr_set(t, x, GMP_RNDN);
  mpfr_sub(u, x, t, GMP_RNDN);
  mpfr_set_prec(x, 96); mpfr_set_prec(t, 96); mpfr_set_prec(u, 96);
  mpfr_set_str_raw(x, "0.111000000001110100111100110101101001001010010011010011100111100011010100011001010011011011000010E-4");
  mpfr_set(t, x, GMP_RNDN);
  mpfr_sub(u, x, t, GMP_RNDN);
  mpfr_set_prec(x, 85); mpfr_set_prec(t, 85); mpfr_set_prec(u, 85);
  mpfr_set_str_raw(x, "0.1111101110100110110110100010101011101001100010100011110110110010010011101100101111100E-4");
  mpfr_set_str_raw(t, "0.1111101110100110110110100010101001001000011000111000011101100101110100001110101010110E-4");
  mpfr_sub(u, x, t, GMP_RNDU);
  mpfr_sub(x, x, t, GMP_RNDU);
  if (mpfr_cmp(x, u) != 0) {
    printf("Error in mpfr_sub: u=x-t and x=x-t give different results\n");
    exit(1);
  }
  if ((MPFR_MANT(u)[(MPFR_PREC(u)-1)/mp_bits_per_limb] & 
      ((mp_limb_t)1<<(mp_bits_per_limb-1)))==0) {
    printf("Error in mpfr_sub: result is not msb-normalized\n"); exit(1);
  }
  mpfr_set_prec(x, 65); mpfr_set_prec(t, 65); mpfr_set_prec(u, 65);
  mpfr_set_str_raw(x, "0.10011010101000110101010000000011001001001110001011101011111011101E623");
  mpfr_set_str_raw(t, "0.10011010101000110101010000000011001001001110001011101011111011100E623");
  mpfr_sub(u, x, t, GMP_RNDU);
  if (mpfr_get_d(u) != 9.4349060620538533806e167) { /* 2^558 */
    printf("Error (1) in mpfr_sub\n"); exit(1);
  }

  mpfr_set_prec(x, 64); mpfr_set_prec(t, 64); mpfr_set_prec(u, 64);
  mpfr_set_str_raw(x, "0.1000011110101111011110111111000011101011101111101101101100000100E-220");
  mpfr_set_str_raw(t, "0.1000011110101111011110111111000011101011101111101101010011111101E-220");
  mpfr_add(u, x, t, GMP_RNDU);
  if ((MPFR_MANT(u)[0] & 1) != 1) { 
    printf("error in mpfr_add with rnd_mode=GMP_RNDU\n");
    printf("b=  "); mpfr_print_raw(x); putchar('\n');
    printf("c=  "); mpfr_print_raw(t); putchar('\n');
    printf("b+c="); mpfr_print_raw(u); putchar('\n');
    exit(1);
  }

  /* bug found by Norbert Mueller, 14 Sep 2000 */
  mpfr_set_prec(x, 56); mpfr_set_prec(t, 83); mpfr_set_prec(u, 10);
  mpfr_set_str_raw(x, "0.10001001011011001111101100110100000101111010010111010111E-7");
  mpfr_set_str_raw(t, "0.10001001011011001111101100110100000101111010010111010111000000000111110110110000100E-7");
  mpfr_sub(u, x, t, GMP_RNDU);

  /* array bound write found by Norbert Mueller, 26 Sep 2000 */
  mpfr_set_prec(x, 109); mpfr_set_prec(t, 153); mpfr_set_prec(u, 95);
  mpfr_set_str_raw(x,"0.1001010000101011101100111000110001111111111111111111111111111111111111111111111111111111111111100000000000000E33");
  mpfr_set_str_raw(t,"-0.100101000010101110110011100011000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011100101101000000100100001100110111E33");
  mpfr_add(u, x, t, GMP_RNDN);

  /* array bound writes found by Norbert Mueller, 27 Sep 2000 */
  mpfr_set_prec(x, 106); mpfr_set_prec(t, 53); mpfr_set_prec(u, 23);
  mpfr_set_str_raw(x, "-0.1000011110101111111001010001000100001011000000000000000000000000000000000000000000000000000000000000000000E-59");
  mpfr_set_str_raw(t, "-0.10000111101011111110010100010001101100011100110100000E-59");
  mpfr_sub(u, x, t, GMP_RNDN);
  mpfr_set_prec(x, 177); mpfr_set_prec(t, 217); mpfr_set_prec(u, 160);
  mpfr_set_str_raw(x, "-0.111010001011010000111001001010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E35");
  mpfr_set_str_raw(t, "0.1110100010110100001110010010100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111011010011100001111001E35");
  mpfr_add(u, x, t, GMP_RNDN);
  mpfr_set_prec(x, 214); mpfr_set_prec(t, 278); mpfr_set_prec(u, 207);
  mpfr_set_str_raw(x, "0.1000100110100110101101101101000000010000100111000001001110001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E66");
  mpfr_set_str_raw(t, "-0.10001001101001101011011011010000000100001001110000010011100010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111011111001001100011E66");
  mpfr_add(u, x, t, GMP_RNDN);
  mpfr_set_prec(x, 32); mpfr_set_prec(t, 247); mpfr_set_prec(u, 223);
  mpfr_set_str_raw(x, "0.10000000000000000000000000000000E1");
  mpfr_set_str_raw(t, "0.1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111100000110001110100000100011110000101110110011101110100110110111111011010111100100000000000000000000000000E0");
  mpfr_sub(u, x, t, GMP_RNDN);
  if ((MPFR_MANT(u)[(MPFR_PREC(u)-1)/mp_bits_per_limb] & 
      ((mp_limb_t)1<<(mp_bits_per_limb-1)))==0) {
    printf("Error in mpfr_sub: result is not msb-normalized\n"); exit(1);
  }

  /* checks that NaN flag is correctly reset */
  mpfr_set_d (t, 1.0, GMP_RNDN);
  mpfr_set_d (u, 1.0, GMP_RNDN);
  MPFR_SET_NAN(x);
  mpfr_add (x, t, u, GMP_RNDN);
  if (mpfr_cmp_ui (x, 2)) {
    fprintf (stderr, "Error in mpfr_add: 1+1 gives %e\n", mpfr_get_d (x));
    exit (1);
  }

  mpfr_clear(x); mpfr_clear(t); mpfr_clear(u);
}

/* checks when source and destination are equal */
void check_same ()
{
  mpfr_t x;

  mpfr_init(x); mpfr_set_d(x, 1.0, GMP_RNDZ);
  mpfr_add(x, x, x, GMP_RNDZ);
  if (mpfr_get_d(x) != 2.0) {
    printf("Error when all 3 operands are equal\n"); exit(1);
  }
  mpfr_clear(x);
}

#define check53(x, y, r, z) check(x, y, r, 53, 53, 53, z)
#define check53nan(x, y, r) checknan(x, y, r, 53, 53, 53); 

int main(argc,argv) int argc; char *argv[];
{
  int prec, rnd_mode;
#ifdef TEST
  int i, rnd;
  double x, y; 
#endif
#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

  check(293607738.0, 1.9967571564050541e-5, GMP_RNDU, 64, 53, 53,
	2.9360773800002003e8);
  check(880524.0, -2.0769715792901673e-5, GMP_RNDN, 64, 53, 53,
	8.8052399997923023e5);
  check(1196426492.0, -1.4218093058435347e-3, GMP_RNDN, 64, 53, 53,
	1.1964264919985781e9);
  check(982013018.0, -8.941829477291838e-7, GMP_RNDN, 64, 53, 53,
	9.8201301799999905e8);
  check(1092583421.0, 1.0880649218158844e9, GMP_RNDN, 64, 53, 53,
	2.1806483428158846e9);
  check(1.8476886419022969e-6, 961494401.0, GMP_RNDN, 53, 64, 53,
	9.6149440100000179e8);
  check(-2.3222118418069868e5, 1229318102.0, GMP_RNDN, 53, 64, 53,
	1.2290858808158193e9);
  check(-3.0399171300395734e-6, 874924868.0, GMP_RNDN, 53, 64, 53,
	8.749248679999969e8);
  check(9.064246624706179e1, 663787413.0, GMP_RNDN, 53, 64, 53,
	6.6378750364246619e8);
  check(-1.0954322421551264e2, 281806592.0, GMP_RNDD, 53, 64, 53,
	2.8180648245677572e8);
  check(5.9836930386056659e-8, 1016217213.0, GMP_RNDN, 53, 64, 53,
	1.0162172130000001e9);
  check(-1.2772161928500301e-7, 1237734238.0, GMP_RNDN, 53, 64, 53,
	1.2377342379999998e9);
  check(-4.567291988483277e8, 1262857194.0, GMP_RNDN, 53, 64, 53,
	8.0612799515167236e8);
  check(4.7719471752925262e7, 196089880.0, GMP_RNDN, 53, 53, 53, 
	2.4380935175292528e8);
  check(4.7719471752925262e7, 196089880.0, GMP_RNDN, 53, 64, 53, 
	2.4380935175292528e8);
  check(-1.716113812768534e-140, 1271212614.0, GMP_RNDZ, 53, 64, 53,
	1.2712126139999998e9);
  check(-1.2927455200185474e-50, 1675676122.0, GMP_RNDD, 53, 64, 53,
	1.6756761219999998e9);
  check53(1.22191250737771397120e+20, 948002822.0, GMP_RNDN, 
	  122191250738719408128.0);
  check53(9966027674114492.0, 1780341389094537.0, GMP_RNDN,
	  11746369063209028.0);
  check53(2.99280481918991653800e+272, 5.34637717585790933424e+271, GMP_RNDN,
	  3.5274425367757071711e272);
  check64();
  check_same();
  check53(6.14384195492641560499e-02, -6.14384195401037683237e-02, GMP_RNDU,
	  9.1603877261370314499e-12);
  check53(1.16809465359248765399e+196, 7.92883212101990665259e+196, GMP_RNDU,
	  9.0969267746123943065e196);
  check53(3.14553393112021279444e-67, 3.14553401015952024126e-67, GMP_RNDU,
	  6.2910679412797336946e-67);
  srand(getpid());
  check53(5.43885304644369509058e+185,-1.87427265794105342763e-57,GMP_RNDN,
	  5.4388530464436950905e185);
  check53(5.43885304644369509058e+185,-1.87427265794105342763e-57, GMP_RNDZ,
	  5.4388530464436944867e185);
  check53(5.43885304644369509058e+185,-1.87427265794105342763e-57, GMP_RNDU,
	  5.4388530464436950905e185);
  check53(5.43885304644369509058e+185,-1.87427265794105342763e-57, GMP_RNDD,
	  5.4388530464436944867e185);
  check2a(6.85523243386777784171e+107,187,-2.78148588123699111146e+48,87,178,
	  GMP_RNDD, "4.ab980a5cb9407ffffffffffffffffffffffffffffffe@89");
  check2a(-1.21510626304662318398e+145,70,1.21367733647758957118e+145,65,61,
	 GMP_RNDD, "-1.2bfad031d94@118");
  check2a(2.73028857032080744543e+155,83,-1.16446121423113355603e+163,59,125,
	  GMP_RNDZ, "-3.3c42dee09703d0639a6@135");
  check2a(-4.38589520019641698848e+78,155,-1.09923643769309483415e+72,15,159,
	  GMP_RNDD, "-2.5e09955c663d@65");
  check2a(-1.49963910666191123860e+265,76,-2.30915090591874527520e-191,8,75,
	  GMP_RNDZ, "-1.dc3ec027da54e@220");
  check2a(3.25471707846623300604e-160,81,-7.93846654265839958715e-274,58,54,
	  GMP_RNDN, "4.936a52bc17254@-133");
  check2a(5.17945380930936917508e+112,119,1.11369077158813567738e+108,15,150,
	  GMP_RNDZ, "5.62661692498ec@93");
  check2a(-2.66910493504493276454e-52,117,1.61188644159592323415e-52,61,68,
	  GMP_RNDZ, "-a.204acdd25d788@-44");
  check2a(-1.87427265794105342764e-57,175,1.76570844587489516446e+190,2,115,
	  GMP_RNDZ, "b.fffffffffffffffffffffffffffe@157");
  check2a(-1.15706375390780417299e-135,94,-1.07455137477117851576e-129,66,111,
	  GMP_RNDU, "-b.eae2643497ff6286b@-108");
  check2a(-1.15706375390780417299e-135,94,-1.07455137477117851576e-129,66,111,
	  GMP_RNDD, "-b.eae2643497ff6286b@-108");
  check2a(-3.31624349995221499866e-22,107,-8.20150212714204839621e+156,79,99,
	 GMP_RNDD, "-2.63b22b55697e8000000000008@130");
  check2a(-1.08007920352320089721e+150,63,1.77607317509426332389e+73,64,64,
	  GMP_RNDN, "-5.4781549356e1c@124");
  check2a(4.49465557237618783128e+53,108,-2.45103927353799477871e+48,60,105,
	  GMP_RNDN, "4.b14f230f909dc803e@44");
  check2a(2.26531902208967707071e+168,99,-2.67795218510613988524e+168,67,94,
	GMP_RNDU, "-1.bfd7ff2647098@139");
  check2a(-8.88471912490080158206e+253,79,-7.84488427404526918825e+124,95,53,
	  GMP_RNDD, "-c.1e533b8d835@210");
  check2a(-2.18548638152863831959e-125,61,-1.22788940592412363564e+226,71,54,
	  GMP_RNDN, "-8.4b0f99ffa3b58@187");
  check2a(-7.94156823309993162569e+77,74,-5.26820160805275124882e+80,99,101,
	  GMP_RNDD, "-1.1cc90f11d6af26f4@67");
  check2a(-3.85170653452493859064e+189,62,2.18827389706660314090e+158,94,106,
	  GMP_RNDD, "-3.753ac0935b701ffffffffffffd@157");
  check2a(1.07966151149311101950e+46,88,1.13198076934147457400e+46,67,53,
	  GMP_RNDN, "3.dfbc152dd4368@38");
  check2a(3.36768223223409657622e+209,55,-9.61624007357265441884e+219,113,53,
	  GMP_RNDN, "-6.cf7217a451388@182");
  check2a(-6.47376909368979326475e+159,111,5.11127211034490340501e+159,99,62,
	  GMP_RNDD, "-1.8cf3aadf537c@132");
  check2a(-4.95229483271607845549e+220,110,-6.06992115033276044773e+213,109,55,
	  GMP_RNDN, "-2.3129f1f63b31b@183");
  check2a(-6.47376909368979326475e+159,74,5.11127211034490340501e+159,111,75,
	  GMP_RNDU, "-1.8cf3aadf537c@132");
  check2a(2.26531902208967707070e+168,99,-2.67795218510613988525e+168,67,94,
	 GMP_RNDU, "-1.bfd7ff2647098@139");
  check2a(-2.28886326552077479586e-188,67,3.41419438647157839320e-177,60,110,
	  GMP_RNDU, "3.75740b4fe8f17f90258907@-147");
  check2a(-2.66910493504493276454e-52,117,1.61188644159592323415e-52,61,68,
	  GMP_RNDZ, "-a.204acdd25d788@-44");
  check2a(2.90983392714730768886e+50,101,2.31299792168440591870e+50,74,105,
	 GMP_RNDZ, "1.655c53ff5719c8@42");
  check2a(2.72046257722708717791e+243,97,-1.62158447436486437113e+243,83,96,
	  GMP_RNDN, "a.4cc63e002d2e8@201");
  /* Checking double precision (53 bits) */
  prec = (argc<2) ? 53 : atoi(argv[1]);
  rnd_mode = (argc<3) ? -1 : atoi(argv[2]);
  check53(-8.22183238641455905806e-19, 7.42227178769761587878e-19, GMP_RNDD, 
	  -7.9956059871694317927e-20);
  check53(5.82106394662028628236e+234, -5.21514064202368477230e+89, GMP_RNDD,
	  5.8210639466202855763e234);
  check53(5.72931679569871602371e+122, -5.72886070363264321230e+122, GMP_RNDN,
	  4.5609206607281141508e118);
  check53(-5.09937369394650450820e+238, 2.70203299854862982387e+250, GMP_RNDD,
	  2.7020329985435301323e250);
  check53(-2.96695924472363684394e+27, 1.22842938251111500000e+16, GMP_RNDD,
	  -2.96695924471135255027e27);
  check53(1.74693641655743793422e-227, -7.71776956366861843469e-229, GMP_RNDN,
	  1.669758720920751867e-227);
  check53(-1.03432206392780011159e-125, 1.30127034799251347548e-133, GMP_RNDN,
	  -1.0343220509150965661e-125);
  check53(1.05824655795525779205e+71, -1.06022698059744327881e+71, GMP_RNDZ,
	  -1.9804226421854867632e68);
  check53(-5.84204911040921732219e+240, 7.26658169050749590763e+240, GMP_RNDD,
	  1.4245325800982785854e240);
  /* the following check double overflow */
  check53(6.27557402141211962228e+307, 1.32141396570101687757e+308,
     GMP_RNDZ, 1.0/0.0);
  check53(1.00944884131046636376e+221, 2.33809162651471520268e+215, GMP_RNDN,
	  1.0094511794020929787e221);
  check53(4.29232078932667367325e-278, 1.07735250473897938332e-281, GMP_RNDU,
	  4.2933981418314132787e-278);
  check53(5.27584773801377058681e-80, 8.91207657803547196421e-91, GMP_RNDN,
	  5.2758477381028917269e-80);
  check53(2.99280481918991653800e+272, 5.34637717585790933424e+271, GMP_RNDN,
	  3.5274425367757071711e272);
  check53(4.67302514390488041733e-184, 2.18321376145645689945e-190, GMP_RNDN,
	  4.6730273271186420541e-184);
  check53(5.57294120336300389254e+71, 2.60596167942024924040e+65, GMP_RNDZ,
	  5.5729438093246831053e71);
  check53(6.6052588496951015469e24, 4938448004894539.0, GMP_RNDU,
	6.6052588546335505068e24);
  check53(1.23056185051606761523e-190, 1.64589756643433857138e-181, GMP_RNDU, 
	  1.6458975676649006598e-181);
  check53(2.93231171510175981584e-280, 3.26266919161341483877e-273, GMP_RNDU,
	  3.2626694848445867288e-273);
  check53(5.76707395945001907217e-58, 4.74752971449827687074e-51, GMP_RNDD,
	  4.747530291205672325e-51);
  check53(277363943109.0, 11.0, GMP_RNDN, 277363943120.0);
  /* test denormalized numbers too */
  check53(8.06294740693074521573e-310, 6.95250701071929654575e-310, GMP_RNDU,
	  1.5015454417650041761e-309);
  check53(1/0., 6.95250701071929654575e-310, GMP_RNDU, 1/0.); 
  check53(-1/0., 6.95250701071929654575e-310, GMP_RNDU, -1/0.); 
  check53(6.95250701071929654575e-310, 1/0., GMP_RNDU, 1/0.);
  check53(6.95250701071929654575e-310, -1/0., GMP_RNDU, -1/0.);

  check53nan(1/0., -1/0., GMP_RNDN); 
  
#ifdef TEST
  /* Comparing to double precision using machine arithmetic */
  for (i=0;i<N;i++) {
    x = drand(); 
    y = drand();
    if (ABS(x)>2.2e-307 && ABS(y)>2.2e-307 && x+y<1.7e+308 && x+y>-1.7e308) {
      /* avoid denormalized numbers and overflows */
      rnd = (rnd_mode==-1) ? lrand48()%4 : rnd_mode;
      check(x, y, rnd, prec, prec, prec, 0.0);
    }
  } 
  /* tests with random precisions */
  for (i=0;i<N;i++) {
    int px, py, pz;
    px = 53 + (rand() % 64); 
    py = 53 + (rand() % 64); 
    pz = 53 + (rand() % 64); 
    rnd_mode = rand() % 4;
    do { x = drand(); } while (isnan(x));
    do { y = drand(); } while (isnan(y));
    check2(x,px,y,py,pz,rnd_mode);
  }
  /* Checking mpfr_add(x, x, y) with prec=53 */
  for (i=0;i<N;i++) {
    x = drand(); 
    y = drand();
    if (ABS(x)>2.2e-307 && ABS(y)>2.2e-307 && x+y<1.7e+308 && x+y>-1.7e308) {
      /* avoid denormalized numbers and overflows */
      rnd = (rnd_mode==-1) ? lrand48()%4 : rnd_mode;
      check3(x, y, rnd);
    }
  }
  /* Checking mpfr_add(x, y, x) with prec=53 */
  for (i=0;i<N;i++) {
    x = drand(); 
    y = drand();
    if (ABS(x)>2.2e-307 && ABS(y)>2.2e-307 && x+y<1.7e+308 && x+y>-1.7e308) {
      /* avoid denormalized numbers and overflows */
      rnd = (rnd_mode==-1) ? lrand48()%4 : rnd_mode;
      check4(x, y, rnd);
    }
  }
  /* Checking mpfr_add(x, x, x) with prec=53 */
  for (i=0;i<N;i++) {
    do { x = drand(); } while ((ABS(x)<2.2e-307) || (ABS(x)>0.8e308));
    /* avoid denormalized numbers and overflows */
    rnd = (rnd_mode==-1) ? lrand48()%4 : rnd_mode;
    check5(x, rnd);
  }
#endif
  return 0;
}