int main() { long iter; flint_rand_t state; printf("evaluate2...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 10000; iter++) { fmprb_poly_t f, g; fmprb_t x, y1, z1, y2, z2; fmprb_init(x); fmprb_init(y1); fmprb_init(z1); fmprb_init(y2); fmprb_init(z2); fmprb_poly_init(f); fmprb_poly_init(g); fmprb_randtest(x, state, 2 + n_randint(state, 1000), 5); fmprb_poly_randtest(f, state, 2 + n_randint(state, 100), 2 + n_randint(state, 1000), 5); fmprb_poly_derivative(g, f, 2 + n_randint(state, 1000)); fmprb_poly_evaluate2(y1, z1, f, x, 2 + n_randint(state, 1000)); fmprb_poly_evaluate_horner(y2, f, x, 2 + n_randint(state, 1000)); fmprb_poly_evaluate_horner(z2, g, x, 2 + n_randint(state, 1000)); if (!fmprb_overlaps(y1, y2) || !fmprb_overlaps(z1, z2)) { printf("FAIL\n\n"); printf("f = "); fmprb_poly_printd(f, 15); printf("\n\n"); printf("g = "); fmprb_poly_printd(g, 15); printf("\n\n"); printf("x = "); fmprb_printd(x, 15); printf("\n\n"); printf("y1 = "); fmprb_printd(y1, 15); printf("\n\n"); printf("z1 = "); fmprb_printd(z1, 15); printf("\n\n"); printf("y2 = "); fmprb_printd(y2, 15); printf("\n\n"); printf("z2 = "); fmprb_printd(z2, 15); printf("\n\n"); abort(); } fmprb_poly_clear(f); fmprb_poly_clear(g); fmprb_clear(x); fmprb_clear(y1); fmprb_clear(z1); fmprb_clear(y2); fmprb_clear(z2); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return EXIT_SUCCESS; }
int main() { long iter; flint_rand_t state; printf("root...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000; iter++) { fmprb_t a, b, c; ulong k; long prec; prec = 2 + n_randint(state, 200); k = 1 + n_randint(state, 10); fmprb_init(a); fmprb_init(b); fmprb_init(c); fmprb_randtest(a, state, 1 + n_randint(state, 200), 10); fmprb_root(b, a, k, prec); fmprb_pow_ui(c, b, k, prec); if (!fmprb_contains(c, a)) { printf("FAIL: containment\n\n"); printf("k = %lu\n", k); printf("a = "); fmprb_print(a); printf("\n\n"); printf("b = "); fmprb_print(b); printf("\n\n"); printf("c = "); fmprb_print(c); printf("\n\n"); abort(); } fmprb_root(a, a, k, prec); if (!fmprb_equal(a, b)) { printf("FAIL: aliasing\n\n"); abort(); } fmprb_clear(a); fmprb_clear(b); fmprb_clear(c); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return EXIT_SUCCESS; }
int main() { slong iter; flint_rand_t state; flint_printf("rsqrt...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000; iter++) { fmprb_t a, b, c; slong prec = 2 + n_randint(state, 200); fmprb_init(a); fmprb_init(b); fmprb_init(c); fmprb_randtest(a, state, 1 + n_randint(state, 200), 10); fmprb_rsqrt(b, a, prec); fmprb_inv(c, b, prec); fmprb_mul(c, c, c, prec); if (!fmprb_contains(c, a)) { flint_printf("FAIL: containment\n\n"); flint_printf("a = "); fmprb_print(a); flint_printf("\n\n"); flint_printf("b = "); fmprb_print(b); flint_printf("\n\n"); flint_printf("c = "); fmprb_print(c); flint_printf("\n\n"); abort(); } fmprb_rsqrt(a, a, prec); if (!fmprb_equal(a, b)) { flint_printf("FAIL: aliasing\n\n"); abort(); } fmprb_clear(a); fmprb_clear(b); fmprb_clear(c); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main() { slong iter; flint_rand_t state; flint_printf("get_rand_fmpq...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000; iter++) { fmprb_t x; fmpq_t q; fmprb_init(x); fmpq_init(q); fmprb_randtest(x, state, 1 + n_randint(state, 200), 10); fmprb_get_rand_fmpq(q, state, x, 1 + n_randint(state, 200)); if (!fmprb_contains_fmpq(x, q) || !fmpq_is_canonical(q)) { flint_printf("FAIL:\n\n"); flint_printf("x = "); fmprb_print(x); flint_printf("\n\n"); flint_printf("q = "); fmpq_print(q); flint_printf("\n\n"); abort(); } fmprb_clear(x); fmpq_clear(q); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main() { long iter; flint_rand_t state; printf("exp...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000; iter++) { fmprb_t a, b; fmpq_t q; mpfr_t t; long prec = 2 + n_randint(state, 200); fmprb_init(a); fmprb_init(b); fmpq_init(q); mpfr_init2(t, prec + 100); fmprb_randtest(a, state, 1 + n_randint(state, 200), 3); fmprb_randtest(b, state, 1 + n_randint(state, 200), 3); fmprb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200)); fmpq_get_mpfr(t, q, MPFR_RNDN); mpfr_exp(t, t, MPFR_RNDN); fmprb_exp(b, a, prec); if (!fmprb_contains_mpfr(b, t)) { printf("FAIL: containment\n\n"); printf("a = "); fmprb_print(a); printf("\n\n"); printf("b = "); fmprb_print(b); printf("\n\n"); abort(); } fmprb_exp(a, a, prec); if (!fmprb_equal(a, b)) { printf("FAIL: aliasing\n\n"); abort(); } fmprb_clear(a); fmprb_clear(b); fmpq_clear(q); mpfr_clear(t); } /* check large arguments */ for (iter = 0; iter < 100000; iter++) { fmprb_t a, b, c, d; long prec1, prec2; prec1 = 2 + n_randint(state, 1000); prec2 = prec1 + 30; fmprb_init(a); fmprb_init(b); fmprb_init(c); fmprb_init(d); fmprb_randtest_precise(a, state, 1 + n_randint(state, 1000), 100); fmprb_exp(b, a, prec1); fmprb_exp(c, a, prec2); if (!fmprb_overlaps(b, c)) { printf("FAIL: overlap\n\n"); printf("a = "); fmprb_print(a); printf("\n\n"); printf("b = "); fmprb_print(b); printf("\n\n"); printf("c = "); fmprb_print(c); printf("\n\n"); abort(); } fmprb_randtest_precise(b, state, 1 + n_randint(state, 1000), 100); /* check exp(a)*exp(b) = exp(a+b) */ fmprb_exp(c, a, prec1); fmprb_exp(d, b, prec1); fmprb_mul(c, c, d, prec1); fmprb_add(d, a, b, prec1); fmprb_exp(d, d, prec1); if (!fmprb_overlaps(c, d)) { printf("FAIL: functional equation\n\n"); printf("a = "); fmprb_print(a); printf("\n\n"); printf("b = "); fmprb_print(b); printf("\n\n"); printf("c = "); fmprb_print(c); printf("\n\n"); printf("d = "); fmprb_print(d); printf("\n\n"); abort(); } fmprb_clear(a); fmprb_clear(b); fmprb_clear(c); fmprb_clear(d); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return EXIT_SUCCESS; }
int main() { long iter; flint_rand_t state; printf("rising_fmprb_ui_bsplit_simple...."); fflush(stdout); flint_randinit(state); /* compare with fmpq */ for (iter = 0; iter < 1000; iter++) { fmprb_t a, b; fmpq_t x, y, z; ulong n; long i; fmprb_init(a); fmprb_init(b); fmpq_init(x); fmpq_init(y); fmpq_init(z); fmprb_randtest(a, state, 1 + n_randint(state, 1000), 10); fmprb_randtest(b, state, 1 + n_randint(state, 1000), 10); n = n_randint(state, 40); fmprb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 1000)); gamma_rising_fmprb_ui_bsplit_simple(b, a, n, 2 + n_randint(state, 1000)); fmpq_one(y); for (i = 0; i < n; i++) { fmpq_set_si(z, i, 1); fmpq_add(z, x, z); fmpq_mul(y, y, z); } if (!fmprb_contains_fmpq(b, y)) { printf("FAIL: containment\n\n"); printf("n = %lu\n", n); printf("a = "); fmprb_print(a); printf("\n\n"); printf("x = "); fmpq_print(x); printf("\n\n"); printf("b = "); fmprb_print(b); printf("\n\n"); printf("y = "); fmpq_print(y); printf("\n\n"); abort(); } fmprb_clear(a); fmprb_clear(b); fmpq_clear(x); fmpq_clear(y); fmpq_clear(z); } /* aliasing of y and x */ for (iter = 0; iter < 1000; iter++) { fmprb_t x, y; ulong n; long prec; fmprb_init(x); fmprb_init(y); fmprb_randtest(x, state, 1 + n_randint(state, 200), 10); fmprb_randtest(y, state, 1 + n_randint(state, 200), 10); n = n_randint(state, 100); prec = 2 + n_randint(state, 200); gamma_rising_fmprb_ui_bsplit_simple(y, x, n, prec); gamma_rising_fmprb_ui_bsplit_simple(x, x, n, prec); if (!fmprb_equal(x, y)) { printf("FAIL: aliasing\n\n"); printf("x = "); fmprb_print(x); printf("\n\n"); printf("y = "); fmprb_print(y); printf("\n\n"); printf("n = %lu\n", n); abort(); } fmprb_clear(x); fmprb_clear(y); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return EXIT_SUCCESS; }
int main() { slong iter; flint_rand_t state; flint_printf("agm...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000; iter++) { fmprb_t a, b, c; fmpq_t q, r; mpfr_t t, u; slong prec = 2 + n_randint(state, 200); fmprb_init(a); fmprb_init(b); fmprb_init(c); fmpq_init(q); fmpq_init(r); mpfr_init2(t, prec + 100); mpfr_init2(u, prec + 100); fmprb_randtest(a, state, 1 + n_randint(state, 200), 3); fmprb_randtest(b, state, 1 + n_randint(state, 200), 3); fmprb_randtest(c, state, 1 + n_randint(state, 200), 3); fmprb_agm(c, a, b, prec); if (fmprb_equal(a, b)) { if (!fmprb_contains(c, a)) { flint_printf("FAIL: containment (identity)\n\n"); flint_printf("a = "); fmprb_print(a); flint_printf("\n\n"); flint_printf("b = "); fmprb_print(b); flint_printf("\n\n"); flint_printf("c = "); fmprb_print(c); flint_printf("\n\n"); abort(); } } else { fmprb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200)); fmprb_get_rand_fmpq(r, state, b, 1 + n_randint(state, 200)); fmpq_get_mpfr(t, q, MPFR_RNDN); fmpq_get_mpfr(u, r, MPFR_RNDN); mpfr_agm(t, t, u, MPFR_RNDN); if (!fmprb_contains_mpfr(c, t)) { flint_printf("FAIL: containment\n\n"); flint_printf("a = "); fmprb_print(a); flint_printf("\n\n"); flint_printf("b = "); fmprb_print(b); flint_printf("\n\n"); flint_printf("c = "); fmprb_print(c); flint_printf("\n\n"); abort(); } } fmprb_clear(a); fmprb_clear(b); fmprb_clear(c); fmpq_clear(q); fmpq_clear(r); mpfr_clear(t); mpfr_clear(u); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main() { slong iter; flint_rand_t state; flint_printf("overlaps...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000; iter++) { fmprb_t a, b; fmpq_t am, ar, bm, br, t, u; int c1, c2; fmprb_init(a); fmprb_init(b); fmpq_init(am); fmpq_init(ar); fmpq_init(bm); fmpq_init(br); fmpq_init(t); fmpq_init(u); fmprb_randtest(a, state, 1 + n_randint(state, 500), 14); fmprb_randtest(b, state, 1 + n_randint(state, 500), 14); fmpr_get_fmpq(am, fmprb_midref(a)); fmpr_get_fmpq(ar, fmprb_radref(a)); fmpr_get_fmpq(bm, fmprb_midref(b)); fmpr_get_fmpq(br, fmprb_radref(b)); fmpq_sub(t, am, bm); fmpz_abs(fmpq_numref(t), fmpq_numref(t)); fmpq_add(u, ar, br); c1 = fmprb_overlaps(a, b); c2 = (fmpq_cmp(t, u) <= 0); if (c1 != c2) { flint_printf("FAIL:\n\n"); flint_printf("a = "); fmprb_print(a); flint_printf("\n\n"); flint_printf("b = "); fmprb_print(b); flint_printf("\n\n"); flint_printf("am = "); fmpq_print(am); flint_printf("\n\n"); flint_printf("ar = "); fmpq_print(ar); flint_printf("\n\n"); flint_printf("bm = "); fmpq_print(bm); flint_printf("\n\n"); flint_printf("br = "); fmpq_print(br); flint_printf("\n\n"); flint_printf("t = "); fmpq_print(t); flint_printf("\n\n"); flint_printf("u = "); fmpq_print(u); flint_printf("\n\n"); flint_printf("c1 = %d, c2 = %d\n\n", c1, c2); abort(); } fmprb_clear(a); fmprb_clear(b); fmpq_clear(am); fmpq_clear(ar); fmpq_clear(bm); fmpq_clear(br); fmpq_clear(t); fmpq_clear(u); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main() { long iter; flint_rand_t state; printf("cosh...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000; iter++) { fmprb_t a, b; fmpq_t q; mpfr_t t; long prec = 2 + n_randint(state, 200); fmprb_init(a); fmprb_init(b); fmpq_init(q); mpfr_init2(t, prec + 100); fmprb_randtest(a, state, 1 + n_randint(state, 200), 3); fmprb_randtest(b, state, 1 + n_randint(state, 200), 3); fmprb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200)); fmpq_get_mpfr(t, q, MPFR_RNDN); mpfr_cosh(t, t, MPFR_RNDN); fmprb_cosh(b, a, prec); if (!fmprb_contains_mpfr(b, t)) { printf("FAIL: containment\n\n"); printf("a = "); fmprb_print(a); printf("\n\n"); printf("b = "); fmprb_print(b); printf("\n\n"); abort(); } fmprb_cosh(a, a, prec); if (!fmprb_equal(a, b)) { printf("FAIL: aliasing\n\n"); abort(); } fmprb_clear(a); fmprb_clear(b); fmpq_clear(q); mpfr_clear(t); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return EXIT_SUCCESS; }
int main() { long iter; flint_rand_t state; printf("addmul...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000; iter++) { fmprb_t a, b, c; fmpq_t x, y, z; fmprb_init(a); fmprb_init(b); fmprb_init(c); fmpq_init(x); fmpq_init(y); fmpq_init(z); fmprb_randtest(a, state, 1 + n_randint(state, 200), 10); fmprb_randtest(b, state, 1 + n_randint(state, 200), 10); fmprb_randtest(c, state, 1 + n_randint(state, 200), 10); fmprb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200)); fmprb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200)); fmprb_get_rand_fmpq(z, state, c, 1 + n_randint(state, 200)); fmprb_addmul(c, a, b, 2 + n_randint(state, 200)); fmpq_addmul(z, x, y); if (!fmprb_contains_fmpq(c, z)) { printf("FAIL: containment\n\n"); printf("a = "); fmprb_print(a); printf("\n\n"); printf("x = "); fmpq_print(x); printf("\n\n"); printf("b = "); fmprb_print(b); printf("\n\n"); printf("y = "); fmpq_print(y); printf("\n\n"); printf("c = "); fmprb_print(c); printf("\n\n"); printf("z = "); fmpq_print(z); printf("\n\n"); abort(); } fmprb_clear(a); fmprb_clear(b); fmprb_clear(c); fmpq_clear(x); fmpq_clear(y); fmpq_clear(z); } /* aliasing of c and a */ for (iter = 0; iter < 10000; iter++) { fmprb_t a, b; fmpq_t x, y, z; fmprb_init(a); fmprb_init(b); fmpq_init(x); fmpq_init(y); fmpq_init(z); fmprb_randtest(a, state, 1 + n_randint(state, 200), 10); fmprb_randtest(b, state, 1 + n_randint(state, 200), 10); fmprb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200)); fmprb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200)); fmpq_set(z, x); fmprb_addmul(a, a, b, 2 + n_randint(state, 200)); fmpq_addmul(z, x, y); if (!fmprb_contains_fmpq(a, z)) { printf("FAIL: aliasing (c, a)\n\n"); printf("a = "); fmprb_print(a); printf("\n\n"); printf("x = "); fmpq_print(x); printf("\n\n"); printf("b = "); fmprb_print(b); printf("\n\n"); printf("y = "); fmpq_print(y); printf("\n\n"); printf("z = "); fmpq_print(z); printf("\n\n"); abort(); } fmprb_clear(a); fmprb_clear(b); fmpq_clear(x); fmpq_clear(y); fmpq_clear(z); } /* aliasing of c and b */ for (iter = 0; iter < 10000; iter++) { fmprb_t a, b; fmpq_t x, y, z; fmprb_init(a); fmprb_init(b); fmpq_init(x); fmpq_init(y); fmpq_init(z); fmprb_randtest(a, state, 1 + n_randint(state, 200), 10); fmprb_randtest(b, state, 1 + n_randint(state, 200), 10); fmprb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200)); fmprb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200)); fmpq_set(z, y); fmprb_addmul(b, a, b, 2 + n_randint(state, 200)); fmpq_addmul(z, x, y); if (!fmprb_contains_fmpq(b, z)) { printf("FAIL: aliasing (c, b)\n\n"); printf("a = "); fmprb_print(a); printf("\n\n"); printf("x = "); fmpq_print(x); printf("\n\n"); printf("b = "); fmprb_print(b); printf("\n\n"); printf("y = "); fmpq_print(y); printf("\n\n"); printf("z = "); fmpq_print(z); printf("\n\n"); abort(); } fmprb_clear(a); fmprb_clear(b); fmpq_clear(x); fmpq_clear(y); fmpq_clear(z); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return EXIT_SUCCESS; }
int main() { long iter; flint_rand_t state; printf("series...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 1000; iter++) { fmpcb_t s, a; fmpcb_ptr z1, z2; long i, len, prec1, prec2; int deflate; fmpcb_init(s); fmpcb_init(a); if (n_randint(state, 2)) { fmpcb_randtest(s, state, 1 + n_randint(state, 300), 3); } else { fmprb_set_ui(fmpcb_realref(s), 1); fmprb_mul_2exp_si(fmpcb_realref(s), fmpcb_realref(s), -1); fmprb_randtest(fmpcb_imagref(s), state, 1 + n_randint(state, 300), 4); } switch (n_randint(state, 3)) { case 0: fmpcb_randtest(a, state, 1 + n_randint(state, 300), 3); break; case 1: fmprb_randtest(fmpcb_realref(a), state, 1 + n_randint(state, 300), 3); break; case 2: fmpcb_one(a); break; } prec1 = 2 + n_randint(state, 300); prec2 = prec1 + 30; len = 1 + n_randint(state, 20); deflate = n_randint(state, 2); z1 = _fmpcb_vec_init(len); z2 = _fmpcb_vec_init(len); zeta_series(z1, s, a, deflate, len, prec1); zeta_series(z2, s, a, deflate, len, prec2); for (i = 0; i < len; i++) { if (!fmpcb_overlaps(z1 + i, z2 + i)) { printf("FAIL: overlap\n\n"); printf("iter = %ld\n", iter); printf("deflate = %d, len = %ld, i = %ld\n\n", deflate, len, i); printf("s = "); fmpcb_printd(s, prec1 / 3.33); printf("\n\n"); printf("a = "); fmpcb_printd(a, prec1 / 3.33); printf("\n\n"); printf("z1 = "); fmpcb_printd(z1 + i, prec1 / 3.33); printf("\n\n"); printf("z2 = "); fmpcb_printd(z2 + i, prec2 / 3.33); printf("\n\n"); abort(); } } fmpcb_clear(a); fmpcb_clear(s); _fmpcb_vec_clear(z1, len); _fmpcb_vec_clear(z2, len); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return EXIT_SUCCESS; }