int main() { slong iter; flint_rand_t state; flint_printf("sinh...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++) { arb_t a, b; fmpq_t q; mpfr_t t; slong prec = 2 + n_randint(state, 200); arb_init(a); arb_init(b); fmpq_init(q); mpfr_init2(t, prec + 100); arb_randtest(a, state, 1 + n_randint(state, 200), 3); arb_randtest(b, state, 1 + n_randint(state, 200), 3); arb_get_rand_fmpq(q, state, a, 1 + n_randint(state, 200)); fmpq_get_mpfr(t, q, MPFR_RNDN); mpfr_sinh(t, t, MPFR_RNDN); arb_sinh(b, a, prec); if (!arb_contains_mpfr(b, t)) { flint_printf("FAIL: containment\n\n"); flint_printf("a = "); arb_print(a); flint_printf("\n\n"); flint_printf("b = "); arb_print(b); flint_printf("\n\n"); flint_abort(); } arb_sinh(a, a, prec); if (!arb_equal(a, b)) { flint_printf("FAIL: aliasing\n\n"); flint_abort(); } arb_clear(a); arb_clear(b); fmpq_clear(q); mpfr_clear(t); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
void _arb_poly_sinh_series(arb_ptr g, arb_srcptr h, slong hlen, slong n, slong prec) { hlen = FLINT_MIN(hlen, n); if (hlen == 1) { arb_sinh(g, h, prec); _arb_vec_zero(g + 1, n - 1); } else if (n == 2) { arb_t t; arb_init(t); arb_sinh_cosh(g, t, h, prec); arb_mul(g + 1, h + 1, t, prec); /* safe since hlen >= 2 */ arb_clear(t); } else { arb_ptr t = _arb_vec_init(n); _arb_poly_sinh_cosh_series(g, t, h, hlen, n, prec); _arb_vec_clear(t, n); } }
int main() { slong iter; flint_rand_t state; flint_printf("csch...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++) { arb_t x, a, b; slong prec1, prec2; prec1 = 2 + n_randint(state, 200); prec2 = prec1 + 30; arb_init(x); arb_init(a); arb_init(b); arb_randtest_special(x, state, 1 + n_randint(state, 300), 100); arb_randtest_special(a, state, 1 + n_randint(state, 300), 100); arb_randtest_special(b, state, 1 + n_randint(state, 300), 100); if (n_randint(state, 2)) { arb_csch(a, x, prec1); } else { arb_set(a, x); arb_csch(a, a, prec1); } arb_sinh(b, x, prec2); arb_inv(b, b, prec2); /* check consistency */ if (!arb_overlaps(a, b)) { flint_printf("FAIL: overlap\n\n"); flint_printf("x = "); arb_printn(x, 20, 0); flint_printf("\n\n"); flint_printf("a = "); arb_printn(a, 20, 0); flint_printf("\n\n"); flint_printf("b = "); arb_printn(b, 20, 0); flint_printf("\n\n"); flint_abort(); } arb_clear(x); arb_clear(a); arb_clear(b); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int f_thsh(arb_t max, const arb_t t, params_t * p, slong prec) { arb_sinh(max, t, prec); arb_tanh(max, max, prec); arb_abs(max, max); return 1; }