117 lines
2.9 KiB
C
117 lines
2.9 KiB
C
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#include <stdio.h>
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#include <stdlib.h>
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#include <gmp.h>
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#include "fmpz_poly_q.h"
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#include "long_extras.h"
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#include "ulong_extras.h"
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int
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main(void)
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{
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int i, result;
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FLINT_TEST_INIT(state);
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flint_printf("derivative... ");
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fflush(stdout);
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/* Check aliasing */
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for (i = 0; i < 100; i++)
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{
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fmpz_poly_q_t a, b;
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fmpz_poly_q_init(a);
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fmpz_poly_q_init(b);
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fmpz_poly_q_randtest(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
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fmpz_poly_q_derivative(b, a);
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fmpz_poly_q_derivative(a, a);
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result = fmpz_poly_q_equal(a, b);
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if (!result)
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{
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flint_printf("FAIL:\n");
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fmpz_poly_q_print(a), flint_printf("\n\n");
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fmpz_poly_q_print(b), flint_printf("\n\n");
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abort();
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}
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fmpz_poly_q_clear(a);
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fmpz_poly_q_clear(b);
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}
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/* Check constants have derivative zero */
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for (i = 0; i < 100; i++)
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{
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fmpz_poly_q_t a, b;
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fmpz_poly_q_init(a);
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fmpz_poly_q_init(b);
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fmpz_poly_q_set_si(a, z_randtest(state));
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fmpz_poly_q_derivative(b, a);
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result = fmpz_poly_q_is_zero(b);
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if (!result)
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{
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flint_printf("FAIL:\n");
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fmpz_poly_q_print(a), flint_printf("\n\n");
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fmpz_poly_q_print(b), flint_printf("\n\n");
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abort();
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}
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fmpz_poly_q_clear(a);
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fmpz_poly_q_clear(b);
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}
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/* Check (f g)' = f' g + f g' */
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for (i = 0; i < 100; i++)
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{
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fmpz_poly_q_t a, b, c, d, lhs, rhs;
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fmpz_poly_q_init(a);
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fmpz_poly_q_init(b);
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fmpz_poly_q_init(c);
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fmpz_poly_q_init(d);
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fmpz_poly_q_init(lhs);
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fmpz_poly_q_init(rhs);
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fmpz_poly_q_randtest(a, state, n_randint(state, 20), 20, n_randint(state, 20), 20);
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fmpz_poly_q_randtest(b, state, n_randint(state, 20), 20, n_randint(state, 20), 20);
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fmpz_poly_q_mul(lhs, a, b);
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fmpz_poly_q_derivative(lhs, lhs);
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fmpz_poly_q_derivative(c, a);
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fmpz_poly_q_derivative(d, b);
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fmpz_poly_q_mul(c, c, b);
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fmpz_poly_q_mul(d, a, d);
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fmpz_poly_q_add(rhs, c, d);
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result = fmpz_poly_q_equal(lhs, rhs) && fmpz_poly_q_is_canonical(lhs)
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&& fmpz_poly_q_is_canonical(rhs);
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if (!result)
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{
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flint_printf("FAIL:\n");
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fmpz_poly_q_print(a), flint_printf("\n\n");
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fmpz_poly_q_print(b), flint_printf("\n\n");
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fmpz_poly_q_print(lhs), flint_printf("\n\n");
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fmpz_poly_q_print(rhs), flint_printf("\n\n");
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abort();
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}
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fmpz_poly_q_clear(a);
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fmpz_poly_q_clear(b);
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fmpz_poly_q_clear(c);
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fmpz_poly_q_clear(d);
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fmpz_poly_q_clear(lhs);
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fmpz_poly_q_clear(rhs);
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}
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return EXIT_SUCCESS;
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}
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