void zeta_series_em_choose_param(fmpr_t bound, ulong * N, ulong * M, const fmpcb_t s, const fmpcb_t a, long d, long target, long prec) { ulong A, B, C; fmpr_t Abound, Bbound, Cbound, tol; fmpr_init(Abound); fmpr_init(Bbound); fmpr_init(Cbound); fmpr_init(tol); fmpr_set_si_2exp_si(tol, 1, -target); A = 1; B = 2; zeta_series_em_bound(Bbound, s, a, B, choose_M(B, target), d, prec); if (fmpr_cmp(Bbound, tol) > 0) { while (fmpr_cmp(Bbound, tol) > 0) { fmpr_set(Abound, Bbound); A *= 2; B *= 2; if (B == 0) abort(); zeta_series_em_bound(Bbound, s, a, B, choose_M(B, target), d, prec); } /* bisect (-A, B] */ while (B > A + 4) { C = A + (B - A) / 2; zeta_series_em_bound(Cbound, s, a, C, choose_M(C, target), d, prec); if (fmpr_cmp(Cbound, tol) < 0) { B = C; fmpr_set(Bbound, Cbound); } else { A = C; fmpr_set(Abound, Cbound); } } } fmpr_set(bound, Bbound); *N = B; *M = choose_M(B, target); fmpr_clear(Abound); fmpr_clear(Bbound); fmpr_clear(Cbound); fmpr_clear(tol); }
int main() { slong iter; flint_rand_t state; flint_printf("cmp...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++) { fmpr_t x, y; mag_t xb, yb; int c1, c2; fmpr_init(x); fmpr_init(y); mag_init(xb); mag_init(yb); mag_randtest_special(xb, state, 100); mag_randtest_special(yb, state, 100); mag_get_fmpr(x, xb); mag_get_fmpr(y, yb); c1 = fmpr_cmp(x, y); c2 = mag_cmp(xb, yb); if (c1 != c2) { flint_printf("FAIL\n\n"); flint_printf("x = "); fmpr_print(x); flint_printf("\n\n"); flint_printf("y = "); fmpr_print(y); flint_printf("\n\n"); flint_printf("xb = "); mag_print(xb); flint_printf("\n\n"); flint_printf("yb = "); mag_print(yb); flint_printf("\n\n"); abort(); } fmpr_clear(x); fmpr_clear(y); mag_clear(xb); mag_clear(yb); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main() { slong iter; flint_rand_t state; flint_printf("cmp_2exp_si...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000; iter++) { slong bits, e; fmpr_t x, y; int cmp1, cmp2; bits = 2 + n_randint(state, 1000); e = n_randtest(state); fmpr_init(x); fmpr_init(y); fmpr_randtest_special(x, state, bits, 100); fmpr_set_ui_2exp_si(y, 1, e); cmp1 = fmpr_cmp(x, y); cmp2 = fmpr_cmp_2exp_si(x, e); if (cmp1 != cmp2) { flint_printf("FAIL\n\n"); flint_printf("x = "); fmpr_print(x); flint_printf("\n\n"); flint_printf("y = "); fmpr_print(y); flint_printf("\n\n"); flint_printf("cmp1 = %d, cmp2 = %d\n\n", cmp1, cmp2); abort(); } fmpr_clear(x); fmpr_clear(y); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main() { long iter; flint_rand_t state; printf("set_interval_fmpr...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000; iter++) { fmprb_t x; fmpr_t a, b; fmprb_init(x); fmpr_init(a); fmpr_init(b); fmpr_randtest_special(a, state, 200, 10); fmpr_randtest_special(b, state, 200, 10); if (fmpr_cmp(a, b) > 0) fmpr_swap(a, b); fmprb_set_interval_fmpr(x, a, b, 2 + n_randint(state, 200)); if (!fmprb_contains_fmpr(x, a) || !fmprb_contains_fmpr(x, b)) { printf("FAIL:\n\n"); printf("x = "); fmprb_print(x); printf("\n\n"); printf("a = "); fmpr_print(a); printf("\n\n"); printf("b = "); fmpr_print(b); printf("\n\n"); abort(); } fmprb_clear(x); fmpr_clear(a); fmpr_clear(b); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return EXIT_SUCCESS; }
int main() { slong iter; flint_rand_t state; flint_printf("sub...."); fflush(stdout); flint_randinit(state); /* test exact subtraction: (x - y) - z == (x - z) - y */ for (iter = 0; iter < 100000; iter++) { slong bits, res1, res2, res3, res4; fmpr_t x, y, z, t, u; bits = 2 + n_randint(state, 200); fmpr_init(x); fmpr_init(y); fmpr_init(z); fmpr_init(t); fmpr_init(u); fmpr_randtest_special(x, state, bits, 10); fmpr_randtest_special(y, state, bits, 10); fmpr_randtest_special(z, state, bits, 10); fmpr_randtest_special(t, state, bits, 10); fmpr_randtest_special(u, state, bits, 10); res1 = fmpr_sub(t, x, y, FMPR_PREC_EXACT, FMPR_RND_DOWN); res2 = fmpr_sub(t, t, z, FMPR_PREC_EXACT, FMPR_RND_DOWN); res3 = fmpr_sub(u, x, z, FMPR_PREC_EXACT, FMPR_RND_DOWN); res4 = fmpr_sub(u, u, y, FMPR_PREC_EXACT, FMPR_RND_DOWN); if (!fmpr_equal(t, u) || res1 != FMPR_RESULT_EXACT || res2 != FMPR_RESULT_EXACT || res3 != FMPR_RESULT_EXACT || res4 != FMPR_RESULT_EXACT) { flint_printf("FAIL\n\n"); flint_printf("bits = %wd\n", bits); flint_printf("x = "); fmpr_print(x); flint_printf("\n\n"); flint_printf("y = "); fmpr_print(y); flint_printf("\n\n"); flint_printf("z = "); fmpr_print(z); flint_printf("\n\n"); flint_printf("t = "); fmpr_print(t); flint_printf("\n\n"); flint_printf("u = "); fmpr_print(u); flint_printf("\n\n"); abort(); } fmpr_clear(x); fmpr_clear(y); fmpr_clear(z); fmpr_clear(t); fmpr_clear(u); } /* compare rounding with mpfr */ for (iter = 0; iter < 100000; iter++) { slong bits, res; int mpfr_res; fmpr_t x, y, z, w; mpfr_t X, Y, Z; bits = 2 + n_randint(state, 200); fmpr_init(x); fmpr_init(y); fmpr_init(z); fmpr_init(w); mpfr_init2(X, bits + 100); mpfr_init2(Y, bits + 100); mpfr_init2(Z, bits); fmpr_randtest_special(x, state, bits + n_randint(state, 100), 10); fmpr_randtest_special(y, state, bits + n_randint(state, 100), 10); fmpr_randtest_special(z, state, bits, 10); fmpr_get_mpfr(X, x, MPFR_RNDN); fmpr_get_mpfr(Y, y, MPFR_RNDN); switch (n_randint(state, 4)) { case 0: mpfr_res = mpfr_sub(Z, X, Y, MPFR_RNDZ); res = fmpr_sub(z, x, y, bits, FMPR_RND_DOWN); break; case 1: mpfr_res = mpfr_sub(Z, X, Y, MPFR_RNDA); res = fmpr_sub(z, x, y, bits, FMPR_RND_UP); break; case 2: mpfr_res = mpfr_sub(Z, X, Y, MPFR_RNDD); res = fmpr_sub(z, x, y, bits, FMPR_RND_FLOOR); break; default: mpfr_res = mpfr_sub(Z, X, Y, MPFR_RNDU); res = fmpr_sub(z, x, y, bits, FMPR_RND_CEIL); break; } fmpr_set_mpfr(w, Z); if (!fmpr_equal(z, w) || (res == FMPR_RESULT_EXACT) != (mpfr_res == 0) || !fmpr_check_ulp(z, res, bits)) { flint_printf("FAIL\n\n"); flint_printf("bits = %wd\n", bits); flint_printf("x = "); fmpr_print(x); flint_printf("\n\n"); flint_printf("y = "); fmpr_print(y); flint_printf("\n\n"); flint_printf("z = "); fmpr_print(z); flint_printf("\n\n"); flint_printf("w = "); fmpr_print(w); flint_printf("\n\n"); flint_printf("returned: %wd, %d\n", res, mpfr_res); abort(); } /* check error bound */ if (!fmpr_is_nan(z) && !fmpr_is_inf(z)) { fmpr_t z_exact, error_bound, true_error; fmpr_init(z_exact); fmpr_init(error_bound); fmpr_init(true_error); fmpr_set_error_result(error_bound, z, res); fmpr_sub(z_exact, x, y, FMPR_PREC_EXACT, FMPR_RND_DOWN); fmpr_sub(true_error, z, z_exact, FMPR_PREC_EXACT, FMPR_RND_DOWN); fmpr_abs(true_error, true_error); if (fmpr_is_zero(error_bound) != fmpr_is_zero(true_error) || fmpr_cmp(true_error, error_bound) > 0) { flint_printf("FAIL: error bound\n\n"); flint_printf("bits = %wd\n", bits); flint_printf("x = "); fmpr_print(x); flint_printf("\n\n"); flint_printf("y = "); fmpr_print(y); flint_printf("\n\n"); flint_printf("z = "); fmpr_print(z); flint_printf("\n\n"); flint_printf("z_exact = "); fmpr_print(z_exact); flint_printf("\n\n"); flint_printf("true_error = "); fmpr_print(true_error); flint_printf("\n\n"); flint_printf("error_bound = "); fmpr_print(error_bound); flint_printf("\n\n"); abort(); } fmpr_clear(z_exact); fmpr_clear(error_bound); fmpr_clear(true_error); } fmpr_clear(x); fmpr_clear(y); fmpr_clear(z); fmpr_clear(w); mpfr_clear(X); mpfr_clear(Y); mpfr_clear(Z); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
/* convert to an fmpz poly with a common exponent and coefficients at most prec bits, also bounding input error plus rounding error */ void _fmprb_poly_get_fmpz_poly_2exp(fmpr_t error, fmpz_t exp, fmpz * coeffs, fmprb_srcptr A, long lenA, long prec) { fmpz_t top_exp, bot_exp; long shift; long i; int rounding; fmpz_init(top_exp); fmpz_init(bot_exp); if (!_fmprb_poly_mid_get_hull(bot_exp, top_exp, A, lenA)) { fmpz_zero(exp); _fmpz_vec_zero(coeffs, lenA); fmpr_zero(error); for (i = 0; i < lenA; i++) { if (fmpr_cmp(fmprb_radref(A + i), error) > 0) fmpr_set(error, fmprb_radref(A + i)); } return; /* no need to clear fmpzs */ } /* only take as much precision as necessary */ shift = _fmpz_sub_small(top_exp, bot_exp); prec = FLINT_MIN(prec, shift); fmpz_sub_ui(exp, top_exp, prec); /* extract integer polynomial */ rounding = 0; for (i = 0; i < lenA; i++) rounding |= fmpr_get_fmpz_fixed_fmpz(coeffs + i, fmprb_midref(A + i), exp); fmpr_zero(error); /* compute maximum of input errors */ for (i = 0; i < lenA; i++) { if (fmpr_cmp(fmprb_radref(A + i), error) > 0) fmpr_set(error, fmprb_radref(A + i)); } /* add rounding error */ if (rounding) { fmpr_t t; fmpr_init(t); fmpz_set_ui(fmpr_manref(t), 1UL); fmpz_set(fmpr_expref(t), exp); fmpr_add(error, error, t, FMPRB_RAD_PREC, FMPR_RND_UP); fmpr_clear(t); } fmpz_clear(top_exp); }
int main() { slong iter; flint_rand_t state; flint_printf("add...."); fflush(stdout); flint_randinit(state); /* test exact addition: (x + y) + z == x + (y + z) */ for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++) { slong bits, res1, res2, res3, res4; fmpr_t x, y, z, t, u; bits = 2 + n_randint(state, 200); fmpr_init(x); fmpr_init(y); fmpr_init(z); fmpr_init(t); fmpr_init(u); fmpr_randtest_special(x, state, bits, 10); fmpr_randtest_special(y, state, bits, 10); fmpr_randtest_special(z, state, bits, 10); fmpr_randtest_special(t, state, bits, 10); fmpr_randtest_special(u, state, bits, 10); res1 = fmpr_add(t, x, y, FMPR_PREC_EXACT, FMPR_RND_DOWN); res2 = fmpr_add(t, t, z, FMPR_PREC_EXACT, FMPR_RND_DOWN); res3 = fmpr_add(u, y, z, FMPR_PREC_EXACT, FMPR_RND_DOWN); res4 = fmpr_add(u, x, u, FMPR_PREC_EXACT, FMPR_RND_DOWN); if (!fmpr_equal(t, u) || res1 != FMPR_RESULT_EXACT || res2 != FMPR_RESULT_EXACT || res3 != FMPR_RESULT_EXACT || res4 != FMPR_RESULT_EXACT) { flint_printf("FAIL\n\n"); flint_printf("bits = %wd\n", bits); flint_printf("x = "); fmpr_print(x); flint_printf("\n\n"); flint_printf("y = "); fmpr_print(y); flint_printf("\n\n"); flint_printf("z = "); fmpr_print(z); flint_printf("\n\n"); flint_printf("t = "); fmpr_print(t); flint_printf("\n\n"); flint_printf("u = "); fmpr_print(u); flint_printf("\n\n"); abort(); } fmpr_clear(x); fmpr_clear(y); fmpr_clear(z); fmpr_clear(t); fmpr_clear(u); } /* compare with add_naive */ for (iter = 0; iter < 1000000 * arb_test_multiplier(); iter++) { slong prec, ret1, ret2; fmpr_t x, y, z, w; fmpr_rnd_t rnd; fmpr_init(x); fmpr_init(y); fmpr_init(z); fmpr_init(w); fmpr_randtest_special(x, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 200)); fmpr_randtest_special(y, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 200)); fmpr_randtest_special(z, state, 1 + n_randint(state, 1000), 1 + n_randint(state, 200)); prec = 2 + n_randint(state, 1000); if (n_randint(state, 10) == 0 && fmpz_bits(fmpr_expref(x)) < 10 && fmpz_bits(fmpr_expref(y)) < 10) prec = FMPR_PREC_EXACT; switch (n_randint(state, 4)) { case 0: rnd = FMPR_RND_DOWN; break; case 1: rnd = FMPR_RND_UP; break; case 2: rnd = FMPR_RND_FLOOR; break; default: rnd = FMPR_RND_CEIL; break; } ret1 = fmpr_add(z, x, y, prec, rnd); ret2 = fmpr_add_naive(w, x, y, prec, rnd); if (!fmpr_equal(z, w) || ret1 != ret2 || !fmpr_check_ulp(z, ret1, prec) || !fmpr_check_ulp(w, ret2, prec)) { flint_printf("FAIL\n\n"); flint_printf("iter %wd\n", iter); flint_printf("prec = %wd\n", prec); flint_printf("x = "); fmpr_print(x); flint_printf("\n\n"); flint_printf("y = "); fmpr_print(y); flint_printf("\n\n"); flint_printf("z = "); fmpr_print(z); flint_printf("\n\n"); flint_printf("w = "); fmpr_print(w); flint_printf("\n\n"); flint_printf("ret1 = %wd, ret2 = %wd\n", ret1, ret2); abort(); } fmpr_clear(x); fmpr_clear(y); fmpr_clear(z); fmpr_clear(w); } /* compare rounding with mpfr */ for (iter = 0; iter < 1000000 * arb_test_multiplier(); iter++) { slong bits, res; int mpfr_res; fmpr_t x, y, z, w; mpfr_t X, Y, Z; bits = 2 + n_randint(state, 500); fmpr_init(x); fmpr_init(y); fmpr_init(z); fmpr_init(w); mpfr_init2(X, bits + 500); mpfr_init2(Y, bits + 500); mpfr_init2(Z, bits); fmpr_randtest_special(x, state, bits + n_randint(state, 500), 10); fmpr_randtest_special(y, state, bits + n_randint(state, 500), 10); fmpr_randtest_special(z, state, bits, 10); fmpr_get_mpfr(X, x, MPFR_RNDN); fmpr_get_mpfr(Y, y, MPFR_RNDN); switch (n_randint(state, 4)) { case 0: mpfr_res = mpfr_add(Z, X, Y, MPFR_RNDZ); res = fmpr_add(z, x, y, bits, FMPR_RND_DOWN); break; case 1: mpfr_res = mpfr_add(Z, X, Y, MPFR_RNDA); res = fmpr_add(z, x, y, bits, FMPR_RND_UP); break; case 2: mpfr_res = mpfr_add(Z, X, Y, MPFR_RNDD); res = fmpr_add(z, x, y, bits, FMPR_RND_FLOOR); break; default: mpfr_res = mpfr_add(Z, X, Y, MPFR_RNDU); res = fmpr_add(z, x, y, bits, FMPR_RND_CEIL); break; } fmpr_set_mpfr(w, Z); if (!fmpr_equal(z, w) || (res == FMPR_RESULT_EXACT) != (mpfr_res == 0) || !fmpr_check_ulp(z, res, bits)) { flint_printf("FAIL\n\n"); flint_printf("iter %wd\n", iter); flint_printf("bits = %wd\n", bits); flint_printf("x = "); fmpr_print(x); flint_printf("\n\n"); flint_printf("y = "); fmpr_print(y); flint_printf("\n\n"); flint_printf("z = "); fmpr_print(z); flint_printf("\n\n"); flint_printf("w = "); fmpr_print(w); flint_printf("\n\n"); flint_printf("returned: %wd, %d\n", res, mpfr_res); abort(); } /* check error bound */ if (!fmpr_is_nan(z) && !fmpr_is_inf(z)) { fmpr_t z_exact, error_bound, true_error; fmpr_init(z_exact); fmpr_init(error_bound); fmpr_init(true_error); fmpr_set_error_result(error_bound, z, res); fmpr_add(z_exact, x, y, FMPR_PREC_EXACT, FMPR_RND_DOWN); fmpr_sub(true_error, z, z_exact, FMPR_PREC_EXACT, FMPR_RND_DOWN); fmpr_abs(true_error, true_error); if (fmpr_is_zero(error_bound) != fmpr_is_zero(true_error) || fmpr_cmp(true_error, error_bound) > 0) { flint_printf("FAIL: error bound\n\n"); flint_printf("bits = %wd\n", bits); flint_printf("x = "); fmpr_print(x); flint_printf("\n\n"); flint_printf("y = "); fmpr_print(y); flint_printf("\n\n"); flint_printf("z = "); fmpr_print(z); flint_printf("\n\n"); flint_printf("z_exact = "); fmpr_print(z_exact); flint_printf("\n\n"); flint_printf("true_error = "); fmpr_print(true_error); flint_printf("\n\n"); flint_printf("error_bound = "); fmpr_print(error_bound); flint_printf("\n\n"); abort(); } fmpr_clear(z_exact); fmpr_clear(error_bound); fmpr_clear(true_error); } fmpr_clear(x); fmpr_clear(y); fmpr_clear(z); fmpr_clear(w); mpfr_clear(X); mpfr_clear(Y); mpfr_clear(Z); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
void fmpcb_calc_cauchy_bound(fmprb_t bound, fmpcb_calc_func_t func, void * param, const fmpcb_t x, const fmprb_t radius, long maxdepth, long prec) { long i, n, depth, wp; fmprb_t pi, theta, v, s1, c1, s2, c2, st, ct; fmpcb_t t, u; fmprb_t b; fmprb_init(pi); fmprb_init(theta); fmprb_init(v); fmprb_init(s1); fmprb_init(c1); fmprb_init(s2); fmprb_init(c2); fmprb_init(st); fmprb_init(ct); fmpcb_init(t); fmpcb_init(u); fmprb_init(b); wp = prec + 20; fmprb_const_pi(pi, wp); fmprb_zero_pm_inf(b); for (depth = 0, n = 16; depth < maxdepth; n *= 2, depth++) { fmprb_zero(b); /* theta = 2 pi / n */ fmprb_div_ui(theta, pi, n, wp); fmprb_mul_2exp_si(theta, theta, 1); /* sine and cosine of i*theta and (i+1)*theta */ fmprb_zero(s1); fmprb_one(c1); fmprb_sin_cos(st, ct, theta, wp); fmprb_set(s2, st); fmprb_set(c2, ct); for (i = 0; i < n; i++) { /* sine and cosine of 2 pi ([i,i+1]/n) */ /* since we use power of two subdivision points, the sine and cosine are monotone on each subinterval */ fmprb_union(fmpcb_realref(t), c1, c2, wp); fmprb_union(fmpcb_imagref(t), s1, s2, wp); fmpcb_mul_fmprb(t, t, radius, wp); fmpcb_add(t, t, x, prec); /* next angle */ fmprb_mul(v, c2, ct, wp); fmprb_mul(c1, s2, st, wp); fmprb_sub(c1, v, c1, wp); fmprb_mul(v, c2, st, wp); fmprb_mul(s1, s2, ct, wp); fmprb_add(s1, v, s1, wp); fmprb_swap(c1, c2); fmprb_swap(s1, s2); func(u, t, param, 1, prec); fmpcb_abs(v, u, prec); fmprb_add(b, b, v, prec); } fmprb_div_ui(b, b, n, prec); if (fmprb_is_exact(b) || fmpr_cmp(fmprb_radref(b), fmprb_midref(b)) < 0) break; } fmprb_set(bound, b); fmprb_clear(pi); fmprb_clear(theta); fmprb_clear(v); fmpcb_clear(t); fmpcb_clear(u); fmprb_clear(b); fmprb_clear(s1); fmprb_clear(c1); fmprb_clear(s2); fmprb_clear(c2); fmprb_clear(st); fmprb_clear(ct); }
int main() { slong iter; flint_rand_t state; flint_printf("sum...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 1000000 * arb_test_multiplier(); iter++) { slong i, len, prec, bits, expbits, res1, res2; fmpr_t s1, s2, s3, err, err_bound; fmpr_struct terms[20]; fmpr_rnd_t rnd; len = n_randint(state, 20); bits = 2 + n_randint(state, 1000); prec = 2 + n_randint(state, 1000); expbits = n_randint(state, 14); fmpr_init(s1); fmpr_init(s2); fmpr_init(s3); fmpr_init(err); fmpr_init(err_bound); for (i = 0; i < len; i++) { fmpr_init(terms + i); fmpr_randtest_special(terms + i, state, bits, expbits); } switch (n_randint(state, 4)) { case 0: rnd = FMPR_RND_DOWN; break; case 1: rnd = FMPR_RND_UP; break; case 2: rnd = FMPR_RND_FLOOR; break; default: rnd = FMPR_RND_CEIL; break; } res1 = fmpr_sum(s1, terms, len, prec, rnd); fmpr_zero(s2); for (i = 0; i < len; i++) fmpr_add(s2, s2, terms + i, FMPR_PREC_EXACT, FMPR_RND_DOWN); res2 = fmpr_set_round(s3, s2, prec, rnd); if (!fmpr_equal(s1, s3) || res1 != res2 || !fmpr_check_ulp(s1, res1, prec) || !fmpr_check_ulp(s3, res2, prec)) { flint_printf("FAIL (%wd)\n\n", iter); flint_printf("prec = %wd\n\n", prec); for (i = 0; i < len; i++) { flint_printf("terms[%wd] = ", i); fmpr_print(terms + i); flint_printf("\n\n"); } flint_printf("s1 = "); fmpr_print(s1); flint_printf("\n\n"); flint_printf("s2 = "); fmpr_print(s2); flint_printf("\n\n"); flint_printf("s3 = "); fmpr_print(s3); flint_printf("\n\n"); flint_printf("res1 = %wd, res2 = %wd\n\n", res1, res2); abort(); } fmpr_sub(err, s1, s2, FMPR_PREC_EXACT, FMPR_RND_DOWN); fmpr_abs(err, err); fmpr_set_error_result(err_bound, s1, res1); if (fmpr_cmp(err, err_bound) > 0) { flint_printf("FAIL (error bound)!\n"); flint_printf("prec = %wd\n\n", prec); for (i = 0; i < len; i++) { flint_printf("terms[%wd] = ", i); fmpr_print(terms + i); flint_printf("\n\n"); } flint_printf("s1 = "); fmpr_print(s1); flint_printf("\n\n"); flint_printf("s2 = "); fmpr_print(s2); flint_printf("\n\n"); flint_printf("s3 = "); fmpr_print(s3); flint_printf("\n\n"); flint_printf("error: "); fmpr_print(err); flint_printf("\n\n"); flint_printf("error bound: "); fmpr_print(err_bound); flint_printf("\n\n"); flint_printf("res1 = %wd, res2 = %wd\n\n", res1, res2); abort(); } fmpr_clear(s1); fmpr_clear(s2); fmpr_clear(s3); fmpr_clear(err); fmpr_clear(err_bound); for (i = 0; i < len; i++) fmpr_clear(terms + i); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int fmprb_contains(const fmprb_t x, const fmprb_t y) { fmpr_t t; fmpr_t u; fmpr_struct tmp[4]; int left_ok, right_ok; if (fmprb_is_exact(y)) return fmprb_contains_fmpr(x, fmprb_midref(y)); if (fmpr_is_nan(fmprb_midref(y))) return fmpr_is_nan(fmprb_midref(x)); fmpr_init(t); fmpr_init(u); /* fast check */ fmpr_sub(t, fmprb_midref(x), fmprb_radref(x), 30, FMPR_RND_CEIL); fmpr_sub(u, fmprb_midref(y), fmprb_radref(y), 30, FMPR_RND_FLOOR); left_ok = fmpr_cmp(t, u) <= 0; /* exact check */ if (!left_ok) { fmpr_init(tmp + 0); fmpr_init(tmp + 1); fmpr_init(tmp + 2); fmpr_init(tmp + 3); fmpr_set(tmp + 0, fmprb_midref(x)); fmpr_neg(tmp + 1, fmprb_radref(x)); fmpr_neg(tmp + 2, fmprb_midref(y)); fmpr_set(tmp + 3, fmprb_radref(y)); fmpr_sum(t, tmp, 4, 30, FMPR_RND_DOWN); left_ok = fmpr_sgn(t) <= 0; fmpr_clear(tmp + 0); fmpr_clear(tmp + 1); fmpr_clear(tmp + 2); fmpr_clear(tmp + 3); } /* fast check */ fmpr_add(t, fmprb_midref(x), fmprb_radref(x), 30, FMPR_RND_FLOOR); fmpr_add(u, fmprb_midref(y), fmprb_radref(y), 30, FMPR_RND_CEIL); right_ok = (fmpr_cmp(t, u) >= 0); /* exact check */ if (!right_ok) { fmpr_init(tmp + 0); fmpr_init(tmp + 1); fmpr_init(tmp + 2); fmpr_init(tmp + 3); fmpr_set(tmp + 0, fmprb_midref(x)); fmpr_set(tmp + 1, fmprb_radref(x)); fmpr_neg(tmp + 2, fmprb_midref(y)); fmpr_neg(tmp + 3, fmprb_radref(y)); fmpr_sum(t, tmp, 4, 30, FMPR_RND_DOWN); right_ok = fmpr_sgn(t) >= 0; fmpr_clear(tmp + 0); fmpr_clear(tmp + 1); fmpr_clear(tmp + 2); fmpr_clear(tmp + 3); } fmpr_clear(t); fmpr_clear(u); return left_ok && right_ok; }