void arb_poly_set(arb_poly_t dest, const arb_poly_t src) { slong len = arb_poly_length(src); arb_poly_fit_length(dest, len); _arb_vec_set(dest->coeffs, src->coeffs, len); _arb_poly_set_length(dest, len); }
int main(void) { int i, result; flint_rand_t state; printf("get_coeff_ptr...."); fflush(stdout); flint_randinit(state); for (i = 0; i < 1000; i++) { arb_poly_t A; arb_t a; long n = n_randint(state, 100); arb_poly_init(A); arb_poly_randtest(A, state, n_randint(state, 100), 100, 10); arb_init(a); arb_poly_get_coeff_arb(a, A, n); result = n < arb_poly_length(A) ? arb_equal(a, arb_poly_get_coeff_ptr(A, n)) : arb_poly_get_coeff_ptr(A, n) == NULL; if (!result) { printf("FAIL:\n"); printf("A = "), arb_poly_printd(A, 10), printf("\n\n"); printf("a = "), arb_print(a), printf("\n\n"); printf("n = %ld\n\n", n); abort(); } arb_poly_clear(A); arb_clear(a); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return 0; }
int main() { slong iter; flint_rand_t state; flint_printf("atan_series...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 10000; iter++) { slong m, n, qbits, rbits1, rbits2; fmpq_poly_t A; arb_poly_t a, b, c, d; qbits = 2 + n_randint(state, 200); rbits1 = 2 + n_randint(state, 200); rbits2 = 2 + n_randint(state, 200); m = 1 + n_randint(state, 30); n = 1 + n_randint(state, 30); fmpq_poly_init(A); arb_poly_init(a); arb_poly_init(b); arb_poly_init(c); arb_poly_init(d); fmpq_poly_randtest(A, state, m, qbits); arb_poly_set_fmpq_poly(a, A, rbits1); arb_poly_randtest(b, state, 1 + n_randint(state, 30), rbits1, 5); arb_poly_atan_series(b, a, n, rbits2); /* Check 2 atan(x) = atan(2x/(1-x^2)) + C */ arb_poly_mullow(c, a, a, n, rbits2); arb_poly_one(d); arb_poly_sub(c, d, c, rbits2); arb_poly_add(d, a, a, rbits2); if (arb_poly_length(c) != 0) { arb_poly_div_series(c, d, c, n, rbits2); arb_poly_atan_series(c, c, n, rbits2); arb_poly_add(d, b, b, rbits2); /* TODO: also check the first coefficient */ arb_poly_set_coeff_si(c, 0, 0); arb_poly_set_coeff_si(d, 0, 0); if (!arb_poly_overlaps(c, d)) { flint_printf("FAIL\n\n"); flint_printf("bits2 = %wd\n", rbits2); flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n"); flint_printf("a = "); arb_poly_printd(a, 15); flint_printf("\n\n"); flint_printf("b = "); arb_poly_printd(b, 15); flint_printf("\n\n"); flint_printf("c = "); arb_poly_printd(c, 15); flint_printf("\n\n"); flint_printf("d = "); arb_poly_printd(d, 15); flint_printf("\n\n"); abort(); } } arb_poly_atan_series(a, a, n, rbits2); if (!arb_poly_equal(a, b)) { flint_printf("FAIL (aliasing)\n\n"); abort(); } fmpq_poly_clear(A); arb_poly_clear(a); arb_poly_clear(b); arb_poly_clear(c); arb_poly_clear(d); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }