int main() { slong iter; flint_rand_t state; flint_printf("mullow_transpose...."); fflush(stdout); flint_randinit(state); /* compare with fmpq_poly */ for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++) { slong qbits1, qbits2, rbits1, rbits2, rbits3, trunc; fmpq_poly_t A, B, C; acb_poly_t a, b, c, d; qbits1 = 2 + n_randint(state, 200); qbits2 = 2 + n_randint(state, 200); rbits1 = 2 + n_randint(state, 200); rbits2 = 2 + n_randint(state, 200); rbits3 = 2 + n_randint(state, 200); trunc = n_randint(state, 10); fmpq_poly_init(A); fmpq_poly_init(B); fmpq_poly_init(C); acb_poly_init(a); acb_poly_init(b); acb_poly_init(c); acb_poly_init(d); fmpq_poly_randtest(A, state, 1 + n_randint(state, 10), qbits1); fmpq_poly_randtest(B, state, 1 + n_randint(state, 10), qbits2); fmpq_poly_mullow(C, A, B, trunc); acb_poly_set_fmpq_poly(a, A, rbits1); acb_poly_set_fmpq_poly(b, B, rbits2); acb_poly_mullow_transpose(c, a, b, trunc, rbits3); if (!acb_poly_contains_fmpq_poly(c, C)) { flint_printf("FAIL\n\n"); flint_printf("bits3 = %wd\n", rbits3); flint_printf("trunc = %wd\n", trunc); flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n"); flint_printf("B = "); fmpq_poly_print(B); flint_printf("\n\n"); flint_printf("C = "); fmpq_poly_print(C); flint_printf("\n\n"); flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n"); flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n"); flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n"); abort(); } acb_poly_set(d, a); acb_poly_mullow_transpose(d, d, b, trunc, rbits3); if (!acb_poly_equal(d, c)) { flint_printf("FAIL (aliasing 1)\n\n"); abort(); } acb_poly_set(d, b); acb_poly_mullow_transpose(d, a, d, trunc, rbits3); if (!acb_poly_equal(d, c)) { flint_printf("FAIL (aliasing 2)\n\n"); abort(); } /* test squaring */ acb_poly_set(b, a); acb_poly_mullow_transpose(c, a, b, trunc, rbits3); acb_poly_mullow_transpose(d, a, a, trunc, rbits3); if (!acb_poly_overlaps(c, d)) /* not guaranteed to be identical */ { flint_printf("FAIL (squaring)\n\n"); flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n"); flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n"); flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n"); abort(); } acb_poly_mullow_transpose(a, a, a, trunc, rbits3); if (!acb_poly_equal(d, a)) { flint_printf("FAIL (aliasing, squaring)\n\n"); flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n"); flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n"); flint_printf("d = "); acb_poly_printd(d, 15); flint_printf("\n\n"); abort(); } fmpq_poly_clear(A); fmpq_poly_clear(B); fmpq_poly_clear(C); acb_poly_clear(a); acb_poly_clear(b); acb_poly_clear(c); acb_poly_clear(d); } /* compare with classical */ for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++) { slong bits, trunc; acb_poly_t a, b, ab, ab2; bits = 2 + n_randint(state, 200); trunc = n_randint(state, 10); acb_poly_init(a); acb_poly_init(b); acb_poly_init(ab); acb_poly_init(ab2); acb_poly_randtest(a, state, 1 + n_randint(state, 10), bits, 5); acb_poly_randtest(b, state, 1 + n_randint(state, 10), bits, 5); acb_poly_mullow_classical(ab, a, b, trunc, bits); acb_poly_mullow_transpose(ab2, a, b, trunc, bits); if (!acb_poly_overlaps(ab, ab2)) { flint_printf("FAIL\n\n"); flint_printf("bits = %wd\n", bits); flint_printf("trunc = %wd\n", trunc); flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n"); flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n"); flint_printf("ab = "); acb_poly_printd(ab, 15); flint_printf("\n\n"); flint_printf("ab2 = "); acb_poly_printd(ab2, 15); flint_printf("\n\n"); abort(); } acb_poly_clear(a); acb_poly_clear(b); acb_poly_clear(ab); acb_poly_clear(ab2); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main() { slong iter; flint_rand_t state; flint_printf("compose...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 3000 * arb_test_multiplier(); iter++) { slong qbits1, qbits2, rbits1, rbits2, rbits3; fmpq_poly_t A, B, C; acb_poly_t a, b, c, d; qbits1 = 2 + n_randint(state, 200); qbits2 = 2 + n_randint(state, 200); rbits1 = 2 + n_randint(state, 200); rbits2 = 2 + n_randint(state, 200); rbits3 = 2 + n_randint(state, 200); fmpq_poly_init(A); fmpq_poly_init(B); fmpq_poly_init(C); acb_poly_init(a); acb_poly_init(b); acb_poly_init(c); acb_poly_init(d); fmpq_poly_randtest(A, state, 1 + n_randint(state, 20), qbits1); fmpq_poly_randtest(B, state, 1 + n_randint(state, 10), qbits2); fmpq_poly_compose(C, A, B); acb_poly_randtest(c, state, 1 + n_randint(state, 20), rbits1, 4); acb_poly_set_fmpq_poly(a, A, rbits1); acb_poly_set_fmpq_poly(b, B, rbits2); acb_poly_compose(c, a, b, rbits3); if (!acb_poly_contains_fmpq_poly(c, C)) { flint_printf("FAIL\n\n"); flint_printf("bits3 = %wd\n", rbits3); flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n"); flint_printf("B = "); fmpq_poly_print(B); flint_printf("\n\n"); flint_printf("C = "); fmpq_poly_print(C); flint_printf("\n\n"); flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n"); flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n"); flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n"); flint_abort(); } acb_poly_set(d, a); acb_poly_compose(d, d, b, rbits3); if (!acb_poly_equal(d, c)) { flint_printf("FAIL (aliasing 1)\n\n"); flint_abort(); } acb_poly_set(d, b); acb_poly_compose(d, a, d, rbits3); if (!acb_poly_equal(d, c)) { flint_printf("FAIL (aliasing 2)\n\n"); flint_abort(); } fmpq_poly_clear(A); fmpq_poly_clear(B); fmpq_poly_clear(C); acb_poly_clear(a); acb_poly_clear(b); acb_poly_clear(c); acb_poly_clear(d); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main() { slong iter; flint_rand_t state; flint_printf("revert_series...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++) { slong qbits1, rbits1, rbits2, n; fmpq_poly_t A, B; acb_poly_t a, b, c; qbits1 = 2 + n_randint(state, 200); rbits1 = 2 + n_randint(state, 200); rbits2 = 2 + n_randint(state, 200); n = 2 + n_randint(state, 25); fmpq_poly_init(A); fmpq_poly_init(B); acb_poly_init(a); acb_poly_init(b); acb_poly_init(c); do { fmpq_poly_randtest(A, state, 1 + n_randint(state, 25), qbits1); fmpq_poly_set_coeff_ui(A, 0, 0); } while (A->length < 2 || fmpz_is_zero(A->coeffs + 1)); fmpq_poly_revert_series(B, A, n); acb_poly_set_fmpq_poly(a, A, rbits1); acb_poly_revert_series(b, a, n, rbits2); if (!acb_poly_contains_fmpq_poly(b, B)) { flint_printf("FAIL\n\n"); flint_printf("n = %wd, bits2 = %wd\n", n, rbits2); flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n"); flint_printf("B = "); fmpq_poly_print(B); flint_printf("\n\n"); flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n"); flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n"); abort(); } acb_poly_set(c, a); acb_poly_revert_series(c, c, n, rbits2); if (!acb_poly_equal(c, b)) { flint_printf("FAIL (aliasing)\n\n"); abort(); } fmpq_poly_clear(A); fmpq_poly_clear(B); acb_poly_clear(a); acb_poly_clear(b); acb_poly_clear(c); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main() { long iter; flint_rand_t state; printf("log_series...."); fflush(stdout); flint_randinit(state); /* compare with fmpq_poly */ for (iter = 0; iter < 10000; iter++) { long m, n, qbits, rbits1, rbits2; fmpq_poly_t A, B; acb_poly_t a, b; qbits = 2 + n_randint(state, 200); rbits1 = 2 + n_randint(state, 200); rbits2 = 2 + n_randint(state, 200); m = 1 + n_randint(state, 20); n = 1 + n_randint(state, 20); fmpq_poly_init(A); fmpq_poly_init(B); acb_poly_init(a); acb_poly_init(b); fmpq_poly_randtest_not_zero(A, state, m, qbits); fmpq_poly_set_coeff_ui(A, 0, 1UL); fmpq_poly_log_series(B, A, n); acb_poly_set_fmpq_poly(a, A, rbits1); acb_poly_randtest(b, state, 1 + n_randint(state, 20), rbits1, 5); acb_poly_log_series(b, a, n, rbits2); if (!acb_poly_contains_fmpq_poly(b, B)) { printf("FAIL\n\n"); printf("bits2 = %ld\n", rbits2); printf("A = "); fmpq_poly_print(A); printf("\n\n"); printf("B = "); fmpq_poly_print(B); printf("\n\n"); printf("a = "); acb_poly_printd(a, 15); printf("\n\n"); printf("b = "); acb_poly_printd(b, 15); printf("\n\n"); abort(); } fmpq_poly_clear(A); fmpq_poly_clear(B); acb_poly_clear(a); acb_poly_clear(b); } /* test aliasing */ for (iter = 0; iter < 10000; iter++) { long m, n, qbits, rbits1, rbits2; fmpq_poly_t A; acb_poly_t a, b; qbits = 2 + n_randint(state, 200); rbits1 = 2 + n_randint(state, 200); rbits2 = 2 + n_randint(state, 200); m = 1 + n_randint(state, 20); n = 1 + n_randint(state, 20); fmpq_poly_init(A); acb_poly_init(a); acb_poly_init(b); do { fmpq_poly_randtest_not_zero(A, state, m, qbits); } while (fmpz_sgn(A->coeffs + 0) <= 0); acb_poly_set_fmpq_poly(a, A, rbits1); acb_poly_log_series(b, a, n, rbits2); acb_poly_log_series(a, a, n, rbits2); if (!acb_poly_equal(a, b)) { printf("FAIL\n\n"); printf("bits2 = %ld\n", rbits2); printf("A = "); fmpq_poly_print(A); printf("\n\n"); printf("a = "); acb_poly_printd(a, 15); printf("\n\n"); printf("b = "); acb_poly_printd(b, 15); printf("\n\n"); abort(); } fmpq_poly_clear(A); acb_poly_clear(a); acb_poly_clear(b); } /* test that exp(log(f)) contains f */ for (iter = 0; iter < 10000; iter++) { long m, n, qbits, rbits1, rbits2, rbits3; fmpq_poly_t A; acb_poly_t a, b, c; qbits = 2 + n_randint(state, 200); rbits1 = 2 + n_randint(state, 200); rbits2 = 2 + n_randint(state, 200); rbits3 = 2 + n_randint(state, 200); m = 1 + n_randint(state, 20); n = 1 + n_randint(state, 20); fmpq_poly_init(A); acb_poly_init(a); acb_poly_init(b); acb_poly_init(c); do { fmpq_poly_randtest_not_zero(A, state, m, qbits); } while (fmpz_sgn(A->coeffs + 0) <= 0); acb_poly_set_fmpq_poly(a, A, rbits1); acb_poly_randtest(b, state, 1 + n_randint(state, 20), rbits1, 5); acb_poly_log_series(b, a, n, rbits2); acb_poly_exp_series_basecase(c, b, n, rbits3); fmpq_poly_truncate(A, n); if (!acb_poly_contains_fmpq_poly(c, A)) { printf("FAIL\n\n"); printf("bits2 = %ld\n", rbits2); printf("bits3 = %ld\n", rbits3); printf("A = "); fmpq_poly_print(A); printf("\n\n"); printf("a = "); acb_poly_printd(a, 15); printf("\n\n"); printf("b = "); acb_poly_printd(b, 15); printf("\n\n"); printf("c = "); acb_poly_printd(c, 15); printf("\n\n"); abort(); } fmpq_poly_clear(A); acb_poly_clear(a); acb_poly_clear(b); acb_poly_clear(c); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return EXIT_SUCCESS; }
int main() { long iter; flint_rand_t state; printf("evaluate...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 10000; iter++) { long qbits1, qbits2, rbits1, rbits2, rbits3; fmpq_poly_t F; fmpq_t X, Y; acb_poly_t f; acb_t x, y; qbits1 = 2 + n_randint(state, 200); qbits2 = 2 + n_randint(state, 200); rbits1 = 2 + n_randint(state, 200); rbits2 = 2 + n_randint(state, 200); rbits3 = 2 + n_randint(state, 200); fmpq_poly_init(F); fmpq_init(X); fmpq_init(Y); acb_poly_init(f); acb_init(x); acb_init(y); fmpq_poly_randtest(F, state, 1 + n_randint(state, 20), qbits1); fmpq_randtest(X, state, qbits2); fmpq_poly_evaluate_fmpq(Y, F, X); acb_poly_set_fmpq_poly(f, F, rbits1); acb_set_fmpq(x, X, rbits2); acb_poly_evaluate(y, f, x, rbits3); if (!acb_contains_fmpq(y, Y)) { printf("FAIL\n\n"); printf("F = "); fmpq_poly_print(F); printf("\n\n"); printf("X = "); fmpq_print(X); printf("\n\n"); printf("Y = "); fmpq_print(Y); printf("\n\n"); printf("f = "); acb_poly_printd(f, 15); printf("\n\n"); printf("x = "); acb_printd(x, 15); printf("\n\n"); printf("y = "); acb_printd(y, 15); printf("\n\n"); abort(); } /* aliasing */ acb_poly_evaluate(x, f, x, rbits3); if (!acb_contains_fmpq(x, Y)) { printf("FAIL (aliasing)\n\n"); abort(); } fmpq_poly_clear(F); fmpq_clear(X); fmpq_clear(Y); acb_poly_clear(f); acb_clear(x); acb_clear(y); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return EXIT_SUCCESS; }
int main() { slong iter; flint_rand_t state; flint_printf("divrem...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 100000; iter++) { slong m, n, qbits1, qbits2, rbits1, rbits2, rbits3; fmpq_poly_t A, B, Q, R; acb_poly_t a, b, q, r; qbits1 = 2 + n_randint(state, 200); qbits2 = 2 + n_randint(state, 200); rbits1 = 2 + n_randint(state, 200); rbits2 = 2 + n_randint(state, 200); rbits3 = 2 + n_randint(state, 200); m = 1 + n_randint(state, 20); n = 1 + n_randint(state, 20); fmpq_poly_init(A); fmpq_poly_init(B); fmpq_poly_init(Q); fmpq_poly_init(R); acb_poly_init(a); acb_poly_init(b); acb_poly_init(q); acb_poly_init(r); fmpq_poly_randtest(A, state, m, qbits1); fmpq_poly_randtest_not_zero(B, state, n, qbits2); fmpq_poly_divrem(Q, R, A, B); acb_poly_set_fmpq_poly(a, A, rbits1); acb_poly_set_fmpq_poly(b, B, rbits2); acb_poly_divrem(q, r, a, b, rbits3); if (!acb_poly_contains_fmpq_poly(q, Q) || !acb_poly_contains_fmpq_poly(r, R)) { flint_printf("FAIL\n\n"); flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n"); flint_printf("B = "); fmpq_poly_print(B); flint_printf("\n\n"); flint_printf("Q = "); fmpq_poly_print(Q); flint_printf("\n\n"); flint_printf("R = "); fmpq_poly_print(R); flint_printf("\n\n"); flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n"); flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n"); flint_printf("q = "); acb_poly_printd(q, 15); flint_printf("\n\n"); flint_printf("r = "); acb_poly_printd(r, 15); flint_printf("\n\n"); abort(); } acb_poly_divrem(a, r, a, b, rbits3); if (!acb_poly_equal(a, q)) { flint_printf("FAIL (aliasing q, a)\n\n"); } acb_poly_set_fmpq_poly(a, A, rbits1); acb_poly_divrem(b, r, a, b, rbits3); if (!acb_poly_equal(b, q)) { flint_printf("FAIL (aliasing q, b)\n\n"); abort(); } acb_poly_set_fmpq_poly(b, B, rbits2); acb_poly_divrem(q, a, a, b, rbits3); if (!acb_poly_equal(a, r)) { flint_printf("FAIL (aliasing r, a)\n\n"); abort(); } acb_poly_set_fmpq_poly(a, A, rbits1); acb_poly_divrem(q, b, a, b, rbits3); if (!acb_poly_equal(b, r)) { flint_printf("FAIL (aliasing r, b)\n\n"); abort(); } fmpq_poly_clear(A); fmpq_poly_clear(B); fmpq_poly_clear(Q); fmpq_poly_clear(R); acb_poly_clear(a); acb_poly_clear(b); acb_poly_clear(q); acb_poly_clear(r); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main() { slong iter; flint_rand_t state; flint_printf("sqrt_series...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 5000; iter++) { slong m, n, qbits, rbits1, rbits2; fmpq_poly_t A; acb_poly_t a, b, c; 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); acb_poly_init(a); acb_poly_init(b); acb_poly_init(c); fmpq_poly_randtest_not_zero(A, state, m, qbits); acb_poly_set_fmpq_poly(a, A, rbits1); acb_poly_sqrt_series(b, a, n, rbits2); /* Check sqrt(a)^2 = a */ acb_poly_mullow(c, b, b, n, rbits2); fmpq_poly_truncate(A, n); if (!acb_poly_contains_fmpq_poly(c, A)) { 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 = "); acb_poly_printd(a, 15); flint_printf("\n\n"); flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n"); flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n"); abort(); } acb_poly_sqrt_series(a, a, n, rbits2); if (!acb_poly_equal(a, b)) { flint_printf("FAIL (aliasing)\n\n"); abort(); } fmpq_poly_clear(A); acb_poly_clear(a); acb_poly_clear(b); acb_poly_clear(c); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main() { long iter; flint_rand_t state; printf("interpolate_fast...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 10000; iter++) { long i, n, qbits1, qbits2, rbits1, rbits2, rbits3; fmpq_poly_t P; acb_poly_t R, S; fmpq_t t, u; acb_ptr xs, ys; fmpq_poly_init(P); acb_poly_init(R); acb_poly_init(S); fmpq_init(t); fmpq_init(u); qbits1 = 2 + n_randint(state, 200); qbits2 = 2 + n_randint(state, 5); rbits1 = 2 + n_randint(state, 200); rbits2 = 2 + n_randint(state, 200); rbits3 = 2 + n_randint(state, 200); fmpq_poly_randtest(P, state, 1 + n_randint(state, 20), qbits1); n = P->length; xs = _acb_vec_init(n); ys = _acb_vec_init(n); acb_poly_set_fmpq_poly(R, P, rbits1); if (n > 0) { fmpq_randtest(t, state, qbits2); acb_set_fmpq(xs, t, rbits2); for (i = 1; i < n; i++) { fmpq_randtest_not_zero(u, state, qbits2); fmpq_abs(u, u); fmpq_add(t, t, u); acb_set_fmpq(xs + i, t, rbits2); } } for (i = 0; i < n; i++) acb_poly_evaluate(ys + i, R, xs + i, rbits2); acb_poly_interpolate_fast(S, xs, ys, n, rbits3); if (!acb_poly_contains_fmpq_poly(S, P)) { printf("FAIL:\n"); printf("P = "); fmpq_poly_print(P); printf("\n\n"); printf("R = "); acb_poly_printd(R, 15); printf("\n\n"); printf("S = "); acb_poly_printd(S, 15); printf("\n\n"); abort(); } fmpq_poly_clear(P); acb_poly_clear(R); acb_poly_clear(S); fmpq_clear(t); fmpq_clear(u); _acb_vec_clear(xs, n); _acb_vec_clear(ys, n); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return EXIT_SUCCESS; }
int main() { slong iter; flint_rand_t state; flint_printf("div_series...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++) { slong m, n, p, qbits, rbits1, rbits2; fmpq_poly_t A, B, C; acb_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, 20); n = 1 + n_randint(state, 20); p = 1 + n_randint(state, 20); fmpq_poly_init(A); fmpq_poly_init(B); fmpq_poly_init(C); acb_poly_init(a); acb_poly_init(b); acb_poly_init(c); acb_poly_init(d); fmpq_poly_randtest(A, state, m, qbits); do { fmpq_poly_randtest_not_zero(B, state, n, qbits); } while (B->coeffs[0] == 0); fmpq_poly_div_series(C, A, B, p); acb_poly_set_fmpq_poly(a, A, rbits1); acb_poly_set_fmpq_poly(b, B, rbits1); acb_poly_div_series(c, a, b, p, rbits2); if (!acb_poly_contains_fmpq_poly(c, C)) { flint_printf("FAIL\n\n"); flint_printf("bits2 = %wd\n", rbits2); flint_printf("A = "); fmpq_poly_print(A); flint_printf("\n\n"); flint_printf("B = "); fmpq_poly_print(B); flint_printf("\n\n"); flint_printf("C = "); fmpq_poly_print(C); flint_printf("\n\n"); flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n"); flint_printf("b = "); acb_poly_printd(b, 15); flint_printf("\n\n"); flint_printf("c = "); acb_poly_printd(c, 15); flint_printf("\n\n"); abort(); } acb_poly_set(d, a); acb_poly_div_series(d, d, b, p, rbits2); if (!acb_poly_equal(d, c)) { flint_printf("FAIL (aliasing 1)\n\n"); abort(); } acb_poly_set(d, b); acb_poly_div_series(d, a, d, p, rbits2); if (!acb_poly_equal(d, c)) { flint_printf("FAIL (aliasing 2)\n\n"); abort(); } acb_poly_set(d, b); acb_poly_div_series(c, d, d, p, rbits2); acb_poly_div_series(d, d, d, p, rbits2); if (!acb_poly_equal(d, c)) { flint_printf("FAIL (aliasing 3)\n\n"); abort(); } fmpq_poly_clear(A); fmpq_poly_clear(B); fmpq_poly_clear(C); acb_poly_clear(a); acb_poly_clear(b); acb_poly_clear(c); acb_poly_clear(d); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main() { long iter; flint_rand_t state; printf("compose_series_brent_kung...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 3000; iter++) { long qbits1, qbits2, rbits1, rbits2, rbits3, n; fmpq_poly_t A, B, C; acb_poly_t a, b, c, d; qbits1 = 2 + n_randint(state, 200); qbits2 = 2 + n_randint(state, 200); rbits1 = 2 + n_randint(state, 200); rbits2 = 2 + n_randint(state, 200); rbits3 = 2 + n_randint(state, 200); n = 2 + n_randint(state, 25); fmpq_poly_init(A); fmpq_poly_init(B); fmpq_poly_init(C); acb_poly_init(a); acb_poly_init(b); acb_poly_init(c); acb_poly_init(d); fmpq_poly_randtest(A, state, 1 + n_randint(state, 25), qbits1); fmpq_poly_randtest(B, state, 1 + n_randint(state, 25), qbits2); fmpq_poly_set_coeff_ui(B, 0, 0); fmpq_poly_compose_series(C, A, B, n); acb_poly_set_fmpq_poly(a, A, rbits1); acb_poly_set_fmpq_poly(b, B, rbits2); acb_poly_compose_series_brent_kung(c, a, b, n, rbits3); if (!acb_poly_contains_fmpq_poly(c, C)) { printf("FAIL\n\n"); printf("n = %ld, bits3 = %ld\n", n, rbits3); printf("A = "); fmpq_poly_print(A); printf("\n\n"); printf("B = "); fmpq_poly_print(B); printf("\n\n"); printf("C = "); fmpq_poly_print(C); printf("\n\n"); printf("a = "); acb_poly_printd(a, 15); printf("\n\n"); printf("b = "); acb_poly_printd(b, 15); printf("\n\n"); printf("c = "); acb_poly_printd(c, 15); printf("\n\n"); abort(); } acb_poly_set(d, a); acb_poly_compose_series_brent_kung(d, d, b, n, rbits3); if (!acb_poly_equal(d, c)) { printf("FAIL (aliasing 1)\n\n"); abort(); } acb_poly_set(d, b); acb_poly_compose_series_brent_kung(d, a, d, n, rbits3); if (!acb_poly_equal(d, c)) { printf("FAIL (aliasing 2)\n\n"); abort(); } fmpq_poly_clear(A); fmpq_poly_clear(B); fmpq_poly_clear(C); acb_poly_clear(a); acb_poly_clear(b); acb_poly_clear(c); acb_poly_clear(d); } flint_randclear(state); flint_cleanup(); printf("PASS\n"); return EXIT_SUCCESS; }
int main() { slong iter; flint_rand_t state; flint_printf("evaluate_vec_fast...."); fflush(stdout); flint_randinit(state); for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++) { slong i, n, qbits1, qbits2, rbits1, rbits2, rbits3; fmpq_poly_t F; fmpq * X, * Y; acb_poly_t f; acb_ptr x, y; qbits1 = 2 + n_randint(state, 100); qbits2 = 2 + n_randint(state, 100); rbits1 = 2 + n_randint(state, 200); rbits2 = 2 + n_randint(state, 200); rbits3 = 2 + n_randint(state, 200); n = n_randint(state, 10); fmpq_poly_init(F); X = _fmpq_vec_init(n); Y = _fmpq_vec_init(n); acb_poly_init(f); x = _acb_vec_init(n); y = _acb_vec_init(n); fmpq_poly_randtest(F, state, 1 + n_randint(state, 20), qbits1); for (i = 0; i < n; i++) fmpq_randtest(X + i, state, qbits2); for (i = 0; i < n; i++) fmpq_poly_evaluate_fmpq(Y + i, F, X + i); acb_poly_set_fmpq_poly(f, F, rbits1); for (i = 0; i < n; i++) acb_set_fmpq(x + i, X + i, rbits2); acb_poly_evaluate_vec_fast(y, f, x, n, rbits3); for (i = 0; i < n; i++) { if (!acb_contains_fmpq(y + i, Y + i)) { flint_printf("FAIL (%wd of %wd)\n\n", i, n); flint_printf("F = "); fmpq_poly_print(F); flint_printf("\n\n"); flint_printf("X = "); fmpq_print(X + i); flint_printf("\n\n"); flint_printf("Y = "); fmpq_print(Y + i); flint_printf("\n\n"); flint_printf("f = "); acb_poly_printd(f, 15); flint_printf("\n\n"); flint_printf("x = "); acb_printd(x + i, 15); flint_printf("\n\n"); flint_printf("y = "); acb_printd(y + i, 15); flint_printf("\n\n"); abort(); } } fmpq_poly_clear(F); _fmpq_vec_clear(X, n); _fmpq_vec_clear(Y, n); acb_poly_clear(f); _acb_vec_clear(x, n); _acb_vec_clear(y, n); } flint_randclear(state); flint_cleanup(); flint_printf("PASS\n"); return EXIT_SUCCESS; }