tadd.c

a very popular packet of cryptography tools,it encloses the most common used algorithm and protocols

	    {
	      mpfr_set_prec (y, py);
	      pz =  (mpfr_cmp_abs (x, u) >= 0) ? MPFR_EXP(x)-MPFR_EXP(u)
		: MPFR_EXP(u)-MPFR_EXP(x);
	      /* x + u is exactly representable with precision
		 abs(EXP(x)-EXP(u)) + max(prec(x), prec(u)) + 1 */
	      pz = pz + MAX(MPFR_PREC(x), MPFR_PREC(u)) + 1;
	      mpfr_set_prec (z, pz);
	      rnd = LONG_RAND () % 4;
	      if (mpfr_add (z, x, u, rnd))
		{
		  fprintf (stderr, "z <- x + u should be exact\n");
		  printf ("x="); mpfr_print_binary (x); putchar ('\n');
		  printf ("u="); mpfr_print_binary (u); putchar ('\n');
		  printf ("z="); mpfr_print_binary (z); putchar ('\n');
		  exit (1);
		}
	      for (rnd=0; rnd<4; rnd++)
		{
		  inexact = mpfr_add (y, x, u, rnd);
		  cmp = mpfr_cmp (y, z);
		  if (((inexact == 0) && (cmp != 0)) ||
		      ((inexact > 0) && (cmp <= 0)) ||
		      ((inexact < 0) && (cmp >= 0)))
		    {
		      fprintf (stderr, "Wrong inexact flag for rnd=%s\n",
			   mpfr_print_rnd_mode(rnd));
		      printf ("expected %d, got %d\n", cmp, inexact);
		      printf ("x="); mpfr_print_binary (x); putchar ('\n');
		      printf ("u="); mpfr_print_binary (u); putchar ('\n');
		      printf ("y=  "); mpfr_print_binary (y); putchar ('\n');
		      printf ("x+u="); mpfr_print_binary (z); putchar ('\n');
		      exit (1);
		    }
		}
	    }
	}
    }

  mpfr_clear (x);
  mpfr_clear (y);
  mpfr_clear (z);
  mpfr_clear (u);
}

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

  mpfr_test_init ();
  check_inexact ();
  check_case_1b ();
  check_case_2 ();
  check64();
  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);
  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);

  SEED_RAND (time(NULL));
  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");
  x = -5943982715394951.0; for (i=0; i<446; i++) x *= 2.0;
  check2a(x, 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) */
  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);
  x = -7883040437021647.0; for (i=0; i<468; i++) x = x / 2.0;
  check53(-1.03432206392780011159e-125, 1.30127034799251347548e-133, GMP_RNDN,
	  x);
  check53(1.05824655795525779205e+71, -1.06022698059744327881e+71, GMP_RNDZ,
	  -1.9804226421854867632e68);
  check53(-5.84204911040921732219e+240, 7.26658169050749590763e+240, GMP_RNDD,
	  1.4245325800982785854e240);
  check53(1.00944884131046636376e+221, 2.33809162651471520268e+215, GMP_RNDN,
	  1.0094511794020929787e221);
  x = 7045852550057985.0; for (i=0; i<986; i++) x = x / 2.0;
  check53(4.29232078932667367325e-278, x, 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);
#if 0         /* disabled since it seems silly to use denorms *
  /* test denormalized numbers too */
  check53(8.06294740693074521573e-310, 6.95250701071929654575e-310, GMP_RNDU,
	  1.5015454417650041761e-309);
#endif
#ifdef HAVE_INFS
  /* the following check double overflow */
  check53(6.27557402141211962228e+307, 1.32141396570101687757e+308,
     GMP_RNDZ, DBL_POS_INF);
  check53(DBL_POS_INF, 6.95250701071929654575e-310, GMP_RNDU, DBL_POS_INF);
  check53(DBL_NEG_INF, 6.95250701071929654575e-310, GMP_RNDU, DBL_NEG_INF);
  check53(6.95250701071929654575e-310, DBL_POS_INF, GMP_RNDU, DBL_POS_INF);
  check53(6.95250701071929654575e-310, DBL_NEG_INF, GMP_RNDU, DBL_NEG_INF);
  check53nan (DBL_POS_INF, DBL_NEG_INF, GMP_RNDN);
#endif
  check53(1.44791789689198883921e-140, -1.90982880222349071284e-121,
	  GMP_RNDN, -1.90982880222349071e-121);


  /* tests for particular cases (Vincent Lefevre, 22 Aug 2001) */
  check53(9007199254740992.0, 1.0, GMP_RNDN, 9007199254740992.0);
  check53(9007199254740994.0, 1.0, GMP_RNDN, 9007199254740996.0);
  check53(9007199254740992.0, -1.0, GMP_RNDN, 9007199254740991.0);
  check53(9007199254740994.0, -1.0, GMP_RNDN, 9007199254740992.0);
  check53(9007199254740996.0, -1.0, GMP_RNDN, 9007199254740996.0);
  
#ifdef MPFR_HAVE_FESETROUND
  prec = (argc<2) ? 53 : atoi(argv[1]);
  rnd_mode = (argc<3) ? -1 : atoi(argv[2]);
  /* 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) ? LONG_RAND()%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 + (LONG_RAND() % 64); 
    py = 53 + (LONG_RAND() % 64); 
    pz = 53 + (LONG_RAND() % 64); 
    rnd_mode = LONG_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) ? LONG_RAND()%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) ? LONG_RAND()%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) ? LONG_RAND()%4 : rnd_mode;
    check5(x, rnd);
  }
#endif

  return 0;
}