/* Test file for mpfr_add_[q,z], mpfr_sub_[q,z], mpfr_div_[q,z], mpfr_mul_[q,z] and mpfr_cmp_[q,z] Copyright 2004, 2005 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., 51 Franklin Place, Fifth Floor, Boston, MA 02110-1301, USA. */ #include #include #include "mpfr-test.h" #define CHECK_FOR(str, cond) \ if ((cond) == 0) { \ printf ("Special case error " str ". Inexact value=%d\n", res); \ printf ("Get "); mpfr_dump (y); \ printf ("X= "); mpfr_dump (x); \ printf ("Z= "); mpz_dump (mpq_numref(z)); \ printf (" /"); mpz_dump (mpq_denref(z)); \ exit (1); \ } static void special (void) { mpfr_t x, y; mpq_t z; int res = 0; mpfr_init (x); mpfr_init (y); mpq_init (z); /* cancellation in mpfr_add_q */ mpfr_set_prec (x, 60); mpfr_set_prec (y, 20); mpz_set_str (mpq_numref (z), "-187207494", 10); mpz_set_str (mpq_denref (z), "5721", 10); mpfr_set_str_binary (x, "11111111101001011011100101100011011110010011100010000100001E-44"); mpfr_add_q (y, x, z, GMP_RNDN); CHECK_FOR ("cancelation in add_q", mpfr_cmp_ui_2exp (y, 256783, -64) == 0); mpfr_set_prec (x, 19); mpfr_set_str_binary (x, "0.1011110101110011100E0"); mpz_set_str (mpq_numref (z), "187207494", 10); mpz_set_str (mpq_denref (z), "5721", 10); mpfr_set_prec (y, 29); mpfr_add_q (y, x, z, GMP_RNDD); mpfr_set_prec (x, 29); mpfr_set_str_binary (x, "11111111101001110011010001001E-14"); CHECK_FOR ("cancelation in add_q", mpfr_cmp (x,y) == 0); /* Inf */ mpfr_set_inf (x, 1); mpz_set_str (mpq_numref (z), "395877315", 10); mpz_set_str (mpq_denref (z), "3508975966", 10); mpfr_set_prec (y, 118); mpfr_add_q (y, x, z, GMP_RNDU); CHECK_FOR ("inf", mpfr_inf_p (y) && mpfr_sgn (y) > 0); mpfr_sub_q (y, x, z, GMP_RNDU); CHECK_FOR ("inf", mpfr_inf_p (y) && mpfr_sgn (y) > 0); /* Nan */ MPFR_SET_NAN (x); mpfr_add_q (y, x, z, GMP_RNDU); CHECK_FOR ("nan", mpfr_nan_p (y)); mpfr_sub_q (y, x, z, GMP_RNDU); CHECK_FOR ("nan", mpfr_nan_p (y)); /* Exact value */ mpfr_set_prec (x, 60); mpfr_set_prec (y, 60); mpfr_set_str1 (x, "0.5"); mpz_set_str (mpq_numref (z), "3", 10); mpz_set_str (mpq_denref (z), "2", 10); res = mpfr_add_q (y, x, z, GMP_RNDU); CHECK_FOR ("0.5+3/2", mpfr_cmp_ui(y, 2)==0 && res==0); res = mpfr_sub_q (y, x, z, GMP_RNDU); CHECK_FOR ("0.5-3/2", mpfr_cmp_si(y, -1)==0 && res==0); /* Inf Rationnal */ mpq_set_ui (z, 1, 0); mpfr_set_str1 (x, "0.5"); res = mpfr_add_q (y, x, z, GMP_RNDN); CHECK_FOR ("0.5+1/0", mpfr_inf_p (y) && MPFR_SIGN (y) > 0 && res == 0); res = mpfr_sub_q (y, x, z, GMP_RNDN); CHECK_FOR ("0.5-1/0", mpfr_inf_p (y) && MPFR_SIGN (y) < 0 && res == 0); mpq_set_si (z, -1, 0); res = mpfr_add_q (y, x, z, GMP_RNDN); CHECK_FOR ("0.5+ -1/0", mpfr_inf_p (y) && MPFR_SIGN (y) < 0 && res == 0); res = mpfr_sub_q (y, x, z, GMP_RNDN); CHECK_FOR ("0.5- -1/0", mpfr_inf_p (y) && MPFR_SIGN (y) > 0 && res == 0); res = mpfr_div_q (y, x, z, GMP_RNDN); CHECK_FOR ("0.5 / (-1/0)", mpfr_zero_p (y) && MPFR_SIGN (y) < 0 && res == 0); /* 0 */ mpq_set_ui (z, 0, 1); mpfr_set_ui (x, 42, GMP_RNDN); res = mpfr_add_q (y, x, z, GMP_RNDN); CHECK_FOR ("42+0/1", mpfr_cmp_ui (y, 42) == 0 && res == 0); res = mpfr_sub_q (y, x, z, GMP_RNDN); CHECK_FOR ("42-0/1", mpfr_cmp_ui (y, 42) == 0 && res == 0); res = mpfr_mul_q (y, x, z, GMP_RNDN); CHECK_FOR ("42*0/1", mpfr_zero_p (y) && MPFR_SIGN (y) > 0 && res == 0); res = mpfr_div_q (y, x, z, GMP_RNDN); CHECK_FOR ("42/(0/1)", mpfr_inf_p (y) && MPFR_SIGN (y) > 0 && res == 0); mpq_clear (z); mpfr_clear (x); mpfr_clear (y); } static void check_for_zero () { /* Check that 0 is unsigned! */ mpq_t q; mpz_t z; mpfr_t x; int r; mpfr_sign_t i; mpfr_init (x); mpz_init (z); mpq_init (q); mpz_set_ui (z, 0); mpq_set_ui (q, 0, 1); MPFR_SET_ZERO (x); for(r = 0 ; r < GMP_RND_MAX ; r++) { for (i = MPFR_SIGN_NEG ; i <= MPFR_SIGN_POS ; i+=MPFR_SIGN_POS-MPFR_SIGN_NEG) { MPFR_SET_SIGN(x, i); mpfr_add_z (x, x, z, (mp_rnd_t) r); if (!MPFR_IS_ZERO(x) || MPFR_SIGN(x)!=i) { printf("GMP Zero errors for add_z & rnd=%s & s=%d\n", mpfr_print_rnd_mode ((mp_rnd_t) r), i); mpfr_dump (x); exit (1); } mpfr_sub_z (x, x, z, (mp_rnd_t) r); if (!MPFR_IS_ZERO(x) || MPFR_SIGN(x)!=i) { printf("GMP Zero errors for sub_z & rnd=%s & s=%d\n", mpfr_print_rnd_mode ((mp_rnd_t) r), i); mpfr_dump (x); exit (1); } mpfr_mul_z (x, x, z, (mp_rnd_t) r); if (!MPFR_IS_ZERO(x) || MPFR_SIGN(x)!=i) { printf("GMP Zero errors for mul_z & rnd=%s & s=%d\n", mpfr_print_rnd_mode ((mp_rnd_t) r), i); mpfr_dump (x); exit (1); } mpfr_add_q (x, x, q, (mp_rnd_t) r); if (!MPFR_IS_ZERO(x) || MPFR_SIGN(x)!=i) { printf("GMP Zero errors for add_q & rnd=%s & s=%d\n", mpfr_print_rnd_mode ((mp_rnd_t) r), i); mpfr_dump (x); exit (1); } mpfr_sub_q (x, x, q, (mp_rnd_t) r); if (!MPFR_IS_ZERO(x) || MPFR_SIGN(x)!=i) { printf("GMP Zero errors for sub_q & rnd=%s & s=%d\n", mpfr_print_rnd_mode ((mp_rnd_t) r), i); mpfr_dump (x); exit (1); } } } mpq_clear (q); mpz_clear (z); mpfr_clear (x); } static void test_cmp_z (mp_prec_t pmin, mp_prec_t pmax, int nmax) { mpfr_t x, z; mpz_t y; mp_prec_t p; int res1, res2; int n; mpfr_init (x); mpfr_init2 (z, MPFR_PREC_MIN); mpz_init (y); for(p=pmin ; p < pmax ; p++) { mpfr_set_prec (x, p); for ( n = 0; n < nmax ; n++) { mpfr_urandomb (x, RANDS); mpz_urandomb (y, RANDS, 1024); if (!MPFR_IS_SINGULAR (x)) { mpfr_sub_z (z, x, y, GMP_RNDN); res1 = mpfr_sgn (z); res2 = mpfr_cmp_z (x, y); if (res1 != res2) { printf("Error for mpfr_cmp_z: res=%d sub_z gives %d\n", res2, res1); exit (1); } } } } mpz_clear (y); mpfr_clear (x); mpfr_clear (z); } static void test_cmp_q (mp_prec_t pmin, mp_prec_t pmax, int nmax) { mpfr_t x, z; mpq_t y; mp_prec_t p; int res1, res2; int n; mpfr_init (x); mpfr_init2 (z, MPFR_PREC_MIN); mpq_init (y); for(p=pmin ; p < pmax ; p++) { mpfr_set_prec (x, p); for (n = 0 ; n < nmax ; n++) { mpfr_urandomb (x, RANDS); mpq_set_ui (y, randlimb (), randlimb() ); if (!MPFR_IS_SINGULAR (x)) { mpfr_sub_q (z, x, y, GMP_RNDN); res1 = mpfr_sgn (z); res2 = mpfr_cmp_q (x, y); if (res1 != res2) { printf("Error for mpfr_cmp_q: res=%d sub_z gives %d\n", res2, res1); exit (1); } } } } mpq_clear (y); mpfr_clear (x); mpfr_clear (z); } static void test_cmp_f (mp_prec_t pmin, mp_prec_t pmax, int nmax) { mpfr_t x, z; mpf_t y; mp_prec_t p; int res1, res2; int n; mpfr_init (x); mpfr_init2 (z, pmax+BITS_PER_MP_LIMB); mpf_init2 (y, MPFR_PREC_MIN); for(p=pmin ; p < pmax ; p+=3) { mpfr_set_prec (x, p); mpf_set_prec (y, p); for ( n = 0; n < nmax ; n++) { mpfr_urandomb (x, RANDS); mpf_urandomb (y, RANDS, p); if (!MPFR_IS_SINGULAR (x)) { mpfr_set_f (z, y, GMP_RNDN); mpfr_sub (z, x, z, GMP_RNDN); res1 = mpfr_sgn (z); res2 = mpfr_cmp_f (x, y); if (res1 != res2) { printf("Error for mpfr_cmp_f: res=%d sub gives %d\n", res2, res1); exit (1); } } } } mpf_clear (y); mpfr_clear (x); mpfr_clear (z); } static void test_specialz (int (*mpfr_func)(mpfr_ptr, mpfr_srcptr, mpz_srcptr, mp_rnd_t), void (*mpz_func)(mpz_ptr, mpz_srcptr, mpz_srcptr), const char *op) { mpfr_t x1, x2; mpz_t z1, z2; int res; mpfr_inits2 (128, x1, x2, NULL); mpz_init (z1); mpz_init(z2); mpz_fac_ui (z1, 19); /* 19!+1 fits perfectly in a 128 bits mantissa */ mpz_add_ui (z1, z1, 1); mpz_fac_ui (z2, 20); /* 20!+1 fits perfectly in a 128 bits mantissa */ mpz_add_ui (z2, z2, 1); res = mpfr_set_z(x1, z1, GMP_RNDN); if (res) { printf("Specialz %s: set_z1 error\n", op); exit(1); } mpfr_set_z (x2, z2, GMP_RNDN); if (res) { printf("Specialz %s: set_z2 error\n", op); exit(1); } /* (19!+1) * (20!+1) fits in a 128 bits number */ res = mpfr_func(x1, x1, z2, GMP_RNDN); if (res) { printf("Specialz %s: wrong inexact flag.\n", op); exit(1); } mpz_func(z1, z1, z2); res = mpfr_set_z (x2, z1, GMP_RNDN); if (res) { printf("Specialz %s: set_z2 error\n", op); exit(1); } if (mpfr_cmp(x1, x2)) { printf("Specialz %s: results differ.\nx1=", op); mpfr_print_binary(x1); printf("\nx2="); mpfr_print_binary(x2); printf ("\nZ2="); mpz_out_str (stdout, 2, z1); putchar('\n'); exit(1); } mpz_set_ui (z1, 1); mpz_set_ui (z2, 0); mpfr_set_ui (x1, 1, GMP_RNDN); mpz_func (z1, z1, z2); res = mpfr_func(x1, x1, z2, GMP_RNDN); mpfr_set_z (x2, z1, GMP_RNDN); if (mpfr_cmp(x1, x2)) { printf("Specialz %s: results differ(2).\nx1=", op); mpfr_print_binary(x1); printf("\nx2="); mpfr_print_binary(x2); putchar('\n'); exit(1); } mpz_clear (z1); mpz_clear(z2); mpfr_clears(x1, x2, NULL); } static void test_genericz (mp_prec_t p0, mp_prec_t p1, unsigned int N, int (*func)(mpfr_ptr, mpfr_srcptr, mpz_srcptr, mp_rnd_t), const char *op) { mp_prec_t prec; mpfr_t arg1, dst_big, dst_small, tmp; mpz_t arg2; mp_rnd_t rnd; int inexact, compare, compare2; unsigned int n; mpfr_inits (arg1, dst_big, dst_small, tmp, NULL); mpz_init (arg2); for (prec = p0; prec <= p1; prec++) { mpfr_set_prec (arg1, prec); mpfr_set_prec (tmp, prec); mpfr_set_prec (dst_small, prec); for (n=0; n= 0) compare = compare + compare2; else compare = inexact; /* cannot determine sign(t-f(x)) */ if (((inexact == 0) && (compare != 0)) || ((inexact > 0) && (compare <= 0)) || ((inexact < 0) && (compare >= 0))) { printf ("Wrong inexact flag for rnd=%s and %s_z:\n" "expected %d, got %d\n", mpfr_print_rnd_mode (rnd), op, compare, inexact); printf ("\narg1="); mpfr_print_binary (arg1); printf ("\narg2="); mpz_out_str(stdout, 2, arg2); printf ("\ndstl="); mpfr_print_binary (dst_big); printf ("\ndsts="); mpfr_print_binary (dst_small); printf ("\ntmp ="); mpfr_dump (tmp); exit (1); } } } } mpz_clear (arg2); mpfr_clears (arg1, dst_big, dst_small, tmp, NULL); } static void test_genericq (mp_prec_t p0, mp_prec_t p1, unsigned int N, int (*func)(mpfr_ptr, mpfr_srcptr, mpq_srcptr, mp_rnd_t), const char *op) { mp_prec_t prec; mpfr_t arg1, dst_big, dst_small, tmp; mpq_t arg2; mp_rnd_t rnd; int inexact, compare, compare2; unsigned int n; mpfr_inits (arg1, dst_big, dst_small, tmp, NULL); mpq_init (arg2); for (prec = p0; prec <= p1; prec++) { mpfr_set_prec (arg1, prec); mpfr_set_prec (tmp, prec); mpfr_set_prec (dst_small, prec); for (n=0; n= 0) compare = compare + compare2; else compare = inexact; /* cannot determine sign(t-f(x)) */ if (((inexact == 0) && (compare != 0)) || ((inexact > 0) && (compare <= 0)) || ((inexact < 0) && (compare >= 0))) { printf ("Wrong inexact flag for rnd=%s and %s_q:\n" "expected %d, got %d", mpfr_print_rnd_mode (rnd), op, compare, inexact); printf ("\narg1="); mpfr_print_binary (arg1); printf ("\narg2="); mpq_out_str(stdout, 2, arg2); printf ("\ndstl="); mpfr_print_binary (dst_big); printf ("\ndsts="); mpfr_print_binary (dst_small); printf ("\ntmp ="); mpfr_print_binary (tmp); putchar('\n'); exit (1); } } } } mpq_clear (arg2); mpfr_clears (arg1, dst_big, dst_small, tmp, NULL); } static void test_specialq (mp_prec_t p0, mp_prec_t p1, unsigned int N, int (*mpfr_func)(mpfr_ptr, mpfr_srcptr, mpq_srcptr, mp_rnd_t), void (*mpq_func)(mpq_ptr, mpq_srcptr, mpq_srcptr), const char *op) { mpfr_t fra, frb, frq; mpq_t q1, q2, qr; unsigned int n; mp_prec_t prec; for (prec = p0 ; prec < p1 ; prec++) { mpfr_inits2 (prec, fra, frb, frq, NULL); mpq_init (q1); mpq_init(q2); mpq_init (qr); for( n = 0 ; n < N ; n++) { mpq_set_ui(q1, randlimb(), randlimb() ); mpq_set_ui(q2, randlimb(), randlimb() ); mpq_canonicalize (q1); mpq_canonicalize (q2); mpq_func (qr, q1, q2); mpfr_set_q (fra, q1, GMP_RNDD); mpfr_func (fra, fra, q2, GMP_RNDD); mpfr_set_q (frb, q1, GMP_RNDU); mpfr_func (frb, frb, q2, GMP_RNDU); mpfr_set_q (frq, qr, GMP_RNDN); /* We should have fra <= qr <= frb */ if ( (mpfr_cmp(fra, frq) > 0) || (mpfr_cmp (frq, frb) > 0)) { printf("Range error for prec=%lu and %s", prec, op); printf ("\nq1="); mpq_out_str(stdout, 2, q1); printf ("\nq2="); mpq_out_str(stdout, 2, q2); printf ("\nfr_dn="); mpfr_print_binary (fra); printf ("\nfr_q ="); mpfr_print_binary (frq); printf ("\nfr_up="); mpfr_print_binary (frb); putchar('\n'); exit (1); } } mpq_clear (q1); mpq_clear (q2); mpq_clear (qr); mpfr_clears (fra, frb, frq, NULL); } } int main (int argc, char *argv[]) { tests_start_mpfr (); special (); test_specialz (mpfr_add_z, mpz_add, "add"); test_specialz (mpfr_sub_z, mpz_sub, "sub"); test_specialz (mpfr_mul_z, mpz_mul, "mul"); test_genericz (2, 100, 100, mpfr_add_z, "add"); test_genericz (2, 100, 100, mpfr_sub_z, "sub"); test_genericz (2, 100, 100, mpfr_mul_z, "mul"); test_genericz (2, 100, 100, mpfr_div_z, "div"); test_genericq (2, 100, 100, mpfr_add_q, "add"); test_genericq (2, 100, 100, mpfr_sub_q, "sub"); test_genericq (2, 100, 100, mpfr_mul_q, "mul"); test_genericq (2, 100, 100, mpfr_div_q, "div"); test_specialq (2, 100, 100, mpfr_mul_q, mpq_mul, "mul"); test_specialq (2, 100, 100, mpfr_div_q, mpq_div, "div"); test_specialq (2, 100, 100, mpfr_add_q, mpq_add, "add"); test_specialq (2, 100, 100, mpfr_sub_q, mpq_sub, "sub"); test_cmp_z (2, 100, 100); test_cmp_q (2, 100, 100); test_cmp_f (2, 100, 100); check_for_zero (); tests_end_mpfr (); return 0; }