/* Test file for mpfr_add and mpfr_sub. Copyright (C) 1999 PolKA project, Inria Lorraine and Loria 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 #include #include #include "gmp.h" #include "mpfr.h" #include "mpfr-impl.h" #ifdef __mips #include #endif extern int isnan(); extern int getpid(); #define ABS(x) (((x)>0) ? (x) : (-x)) /* checks that x+y gives the same results in double and with mpfr with 53 bits of precision */ void check(double x, double y, unsigned int 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); } #ifdef TEST /* idem than check for mpfr_add(x, x, y) */ void check3(double x, double y, unsigned int 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, unsigned int 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, unsigned int 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); } #endif #ifdef TEST void check2(x,px,y,py,pz,rnd_mode) double x,y; int px,py,pz,rnd_mode; { 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(x,px,y,py,pz,rnd_mode,res) double x,y; int px,py,pz,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_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) 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, 1.79769313486231570815e+308); */ 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); #ifdef TEST /* Comparing to double precision using machine arithmetic */ for (i=0;i2.2e-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;i2.2e-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;i2.2e-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;i0.8e308)); /* avoid denormalized numbers and overflows */ rnd = (rnd_mode==-1) ? lrand48()%4 : rnd_mode; check5(x, rnd); } #endif return 0; }