void fmpz_poly_q_scalar_mul_si(fmpz_poly_q_t rop, const fmpz_poly_q_t op, long x) { fmpz_t cont, fx, gcd; if (fmpz_poly_q_is_zero(op) || (x == 0)) { fmpz_poly_q_zero(rop); return; } if (x == 1) { fmpz_poly_q_set(rop, op); return; } fmpz_init(cont); fmpz_poly_content(cont, op->den); if (fmpz_is_one(cont)) { fmpz_poly_scalar_mul_si(rop->num, op->num, x); fmpz_poly_set(rop->den, op->den); fmpz_clear(cont); return; } fmpz_init(fx); fmpz_init(gcd); fmpz_set_si(fx, x); fmpz_gcd(gcd, cont, fx); if (fmpz_is_one(gcd)) { fmpz_poly_scalar_mul_si(rop->num, op->num, x); fmpz_poly_set(rop->den, op->den); } else { fmpz_divexact(fx, fx, gcd); fmpz_poly_scalar_mul_fmpz(rop->num, op->num, fx); fmpz_poly_scalar_divexact_fmpz(rop->den, op->den, gcd); } fmpz_clear(cont); fmpz_clear(fx); fmpz_clear(gcd); }
void test_is_zero(char * in, int out) { int ans; fmpz_poly_q_t op; int res; fmpz_poly_q_init(op); fmpz_poly_q_set_str(op, in); res = fmpz_poly_q_is_zero(op); ans = (res == out); if (!ans) { flint_printf("test_equal: failed\n"); flint_printf(" Expected \"%d\", got \"%d\"\n", out, res); abort(); } fmpz_poly_q_clear(op); }
void fmpz_poly_q_mul(fmpz_poly_q_t rop, const fmpz_poly_q_t op1, const fmpz_poly_q_t op2) { if (fmpz_poly_q_is_zero(op1) || fmpz_poly_q_is_zero(op2)) { fmpz_poly_q_zero(rop); return; } if (op1 == op2) { fmpz_poly_pow(rop->num, op1->num, 2); fmpz_poly_pow(rop->den, op1->den, 2); return; } if (rop == op1 || rop == op2) { fmpz_poly_q_t t; fmpz_poly_q_init(t); fmpz_poly_q_mul(t, op1, op2); fmpz_poly_q_swap(rop, t); fmpz_poly_q_clear(t); return; } /* From here on, we may assume that rop, op1 and op2 refer to distinct objects in memory, and that op1 and op2 are non-zero */ /* Polynomials? */ if (fmpz_poly_length(op1->den) == 1 && fmpz_poly_length(op2->den) == 1) { const slong len1 = fmpz_poly_length(op1->num); const slong len2 = fmpz_poly_length(op2->num); fmpz_poly_fit_length(rop->num, len1 + len2 - 1); if (len1 >= len2) { _fmpq_poly_mul(rop->num->coeffs, rop->den->coeffs, op1->num->coeffs, op1->den->coeffs, len1, op2->num->coeffs, op2->den->coeffs, len2); } else { _fmpq_poly_mul(rop->num->coeffs, rop->den->coeffs, op2->num->coeffs, op2->den->coeffs, len2, op1->num->coeffs, op1->den->coeffs, len1); } _fmpz_poly_set_length(rop->num, len1 + len2 - 1); _fmpz_poly_set_length(rop->den, 1); return; } fmpz_poly_gcd(rop->num, op1->num, op2->den); if (fmpz_poly_is_one(rop->num)) { fmpz_poly_gcd(rop->den, op2->num, op1->den); if (fmpz_poly_is_one(rop->den)) { fmpz_poly_mul(rop->num, op1->num, op2->num); fmpz_poly_mul(rop->den, op1->den, op2->den); } else { fmpz_poly_div(rop->num, op2->num, rop->den); fmpz_poly_mul(rop->num, op1->num, rop->num); fmpz_poly_div(rop->den, op1->den, rop->den); fmpz_poly_mul(rop->den, rop->den, op2->den); } } else { fmpz_poly_gcd(rop->den, op2->num, op1->den); if (fmpz_poly_is_one(rop->den)) { fmpz_poly_div(rop->den, op2->den, rop->num); fmpz_poly_mul(rop->den, op1->den, rop->den); fmpz_poly_div(rop->num, op1->num, rop->num); fmpz_poly_mul(rop->num, rop->num, op2->num); } else { fmpz_poly_t t, u; fmpz_poly_init(t); fmpz_poly_init(u); fmpz_poly_div(t, op1->num, rop->num); fmpz_poly_div(u, op2->den, rop->num); fmpz_poly_div(rop->num, op2->num, rop->den); fmpz_poly_mul(rop->num, t, rop->num); fmpz_poly_div(rop->den, op1->den, rop->den); fmpz_poly_mul(rop->den, rop->den, u); fmpz_poly_clear(t); fmpz_poly_clear(u); } } }
int main(void) { int i, result; FLINT_TEST_INIT(state); flint_printf("derivative... "); fflush(stdout); /* Check aliasing */ for (i = 0; i < 100; i++) { fmpz_poly_q_t a, b; fmpz_poly_q_init(a); fmpz_poly_q_init(b); fmpz_poly_q_randtest(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50); fmpz_poly_q_derivative(b, a); fmpz_poly_q_derivative(a, a); result = fmpz_poly_q_equal(a, b); if (!result) { flint_printf("FAIL:\n"); fmpz_poly_q_print(a), flint_printf("\n\n"); fmpz_poly_q_print(b), flint_printf("\n\n"); abort(); } fmpz_poly_q_clear(a); fmpz_poly_q_clear(b); } /* Check constants have derivative zero */ for (i = 0; i < 100; i++) { fmpz_poly_q_t a, b; fmpz_poly_q_init(a); fmpz_poly_q_init(b); fmpz_poly_q_set_si(a, z_randtest(state)); fmpz_poly_q_derivative(b, a); result = fmpz_poly_q_is_zero(b); if (!result) { flint_printf("FAIL:\n"); fmpz_poly_q_print(a), flint_printf("\n\n"); fmpz_poly_q_print(b), flint_printf("\n\n"); abort(); } fmpz_poly_q_clear(a); fmpz_poly_q_clear(b); } /* Check (f g)' = f' g + f g' */ for (i = 0; i < 100; i++) { fmpz_poly_q_t a, b, c, d, lhs, rhs; fmpz_poly_q_init(a); fmpz_poly_q_init(b); fmpz_poly_q_init(c); fmpz_poly_q_init(d); fmpz_poly_q_init(lhs); fmpz_poly_q_init(rhs); fmpz_poly_q_randtest(a, state, n_randint(state, 20), 20, n_randint(state, 20), 20); fmpz_poly_q_randtest(b, state, n_randint(state, 20), 20, n_randint(state, 20), 20); fmpz_poly_q_mul(lhs, a, b); fmpz_poly_q_derivative(lhs, lhs); fmpz_poly_q_derivative(c, a); fmpz_poly_q_derivative(d, b); fmpz_poly_q_mul(c, c, b); fmpz_poly_q_mul(d, a, d); fmpz_poly_q_add(rhs, c, d); result = fmpz_poly_q_equal(lhs, rhs) && fmpz_poly_q_is_canonical(lhs) && fmpz_poly_q_is_canonical(rhs); if (!result) { flint_printf("FAIL:\n"); fmpz_poly_q_print(a), flint_printf("\n\n"); fmpz_poly_q_print(b), flint_printf("\n\n"); fmpz_poly_q_print(lhs), flint_printf("\n\n"); fmpz_poly_q_print(rhs), flint_printf("\n\n"); abort(); } fmpz_poly_q_clear(a); fmpz_poly_q_clear(b); fmpz_poly_q_clear(c); fmpz_poly_q_clear(d); fmpz_poly_q_clear(lhs); fmpz_poly_q_clear(rhs); } FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return EXIT_SUCCESS; }
int main(int argc, char *argv[]) { int ans; char *str, *strout; fmpz_poly_t zpoly; fmpz_poly_q_t qpoly1; mpz_t mpzzero, mpzone, mpztwo; mpq_t mpqzero, mpqone, mpqtwo, mpqtwoinv; FLINT_TEST_INIT(state); flint_printf("all... "); fflush(stdout); /* Accessing numerator and denominator ***********************************/ fmpz_poly_q_init(qpoly1); fmpz_poly_q_set_str(qpoly1, "2 -1 1/2 0 1"); str = "2 -1 1"; strout = fmpz_poly_get_str(fmpz_poly_q_numref(qpoly1)); ans = !strcmp(str, strout); if (!ans) { flint_printf("test_numref: failed\n"); flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout); flint_printf(" qpoly1 = \""), fmpz_poly_q_print(qpoly1), flint_printf("\"\n"); abort(); } fmpz_poly_q_clear(qpoly1); flint_free(strout); fmpz_poly_q_init(qpoly1); fmpz_poly_q_set_str(qpoly1, "2 -1 1/2 0 1"); str = "2 0 1"; strout = fmpz_poly_get_str(fmpz_poly_q_denref(qpoly1)); ans = !strcmp(str, strout); if (!ans) { flint_printf("test_denref: failed\n"); flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout); abort(); } fmpz_poly_q_clear(qpoly1); flint_free(strout); fmpz_poly_q_init(qpoly1); fmpz_poly_init(zpoly); fmpz_poly_q_set_str(qpoly1, "2 -1 1/2 0 1"); fmpz_poly_set(zpoly, fmpz_poly_q_numref(qpoly1)); str = "2 -1 1"; strout = fmpz_poly_get_str(zpoly); ans = !strcmp(str, strout); if (!ans) { flint_printf("test_get_num: failed\n"); flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout); abort(); } fmpz_poly_q_clear(qpoly1); fmpz_poly_clear(zpoly); flint_free(strout); fmpz_poly_q_init(qpoly1); fmpz_poly_init(zpoly); fmpz_poly_q_set_str(qpoly1, "2 -1 1/2 0 1"); fmpz_poly_set(zpoly, fmpz_poly_q_denref(qpoly1)); str = "2 0 1"; strout = fmpz_poly_get_str(zpoly); ans = !strcmp(str, strout); if (!ans) { flint_printf("test_get_den: failed\n"); flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout); abort(); } fmpz_poly_q_clear(qpoly1); fmpz_poly_clear(zpoly); flint_free(strout); fmpz_poly_q_init(qpoly1); fmpz_poly_init(zpoly); fmpz_poly_q_set_str(qpoly1, "1 1/1 1"); fmpz_poly_set_str(zpoly, "2 0 1"); fmpz_poly_set(fmpz_poly_q_numref(qpoly1), zpoly); str = "2 0 1"; strout = fmpz_poly_get_str(fmpz_poly_q_numref(qpoly1)); ans = !strcmp(str, strout); if (!ans) { flint_printf("test_set_num: failed\n"); flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout); abort(); } fmpz_poly_q_clear(qpoly1); fmpz_poly_clear(zpoly); flint_free(strout); fmpz_poly_q_init(qpoly1); fmpz_poly_init(zpoly); fmpz_poly_q_set_str(qpoly1, "1 1/1 1"); fmpz_poly_set_str(zpoly, "2 0 1"); fmpz_poly_set(fmpz_poly_q_denref(qpoly1), zpoly); str = "2 0 1"; strout = fmpz_poly_get_str(fmpz_poly_q_denref(qpoly1)); ans = !strcmp(str, strout); if (!ans) { flint_printf("test_set_den: failed\n"); flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout); abort(); } fmpz_poly_q_clear(qpoly1); fmpz_poly_clear(zpoly); flint_free(strout); /* Canonicalise **********************************************************/ fmpz_poly_q_init(qpoly1); str = "2 -1 1/2 0 1"; fmpz_poly_q_set_str(qpoly1, str); strout = fmpz_poly_q_get_str(qpoly1); ans = !strcmp(str, strout); if (!ans) { flint_printf("test_canonicalize: failed\n"); flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout); abort(); } fmpz_poly_q_clear(qpoly1); flint_free(strout); fmpz_poly_q_init(qpoly1); str = "2 -1 -1/2 0 1"; fmpz_poly_q_set_str(qpoly1, "2 1 1/2 0 -1"); strout = fmpz_poly_q_get_str(qpoly1); ans = !strcmp("2 -1 -1/2 0 1", strout); if (!ans) { flint_printf("test_canonicalize: failed\n"); flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout); abort(); } flint_free(strout); fmpz_poly_q_clear(qpoly1); /* Initialization, memory management and basic operations ****************/ test_set("0", "0"); test_set("0/1 1", "0"); test_set("3 -1 0 1/2 0 1", "3 -1 0 1/2 0 1"); test_set("3 -1 0 1/2 1 1", "2 -1 1"); test_set_si(-1, "1 -1"); test_set_si(13, "1 13"); test_set_si(0, "0"); test_swap("3 -1 0 1/2 0 1", "1 2/1 3", "1 2/1 3", "3 -1 0 1/2 0 1"); test_zero("0", "0"); test_zero("0/1 1", "0"); test_zero("3 -1 0 1/2 0 1", "0"); test_neg("0", "0"); test_neg("1 1/1 2", "1 -1/1 2"); test_neg("3 -1 0 1/2 0 1", "3 1 0 -1/2 0 1"); test_inv("1 1/1 2", "1 2"); test_inv("3 -1 0 1/2 0 1", "2 0 1/3 -1 0 1"); test_inv("3 -1 0 -1/2 0 1", "2 0 -1/3 1 0 1"); test_inv_inplace("1 1/1 2", "1 2"); test_inv_inplace("3 -1 0 1/2 0 1", "2 0 1/3 -1 0 1"); test_inv_inplace("3 -1 0 -1/2 0 1", "2 0 -1/3 1 0 1"); test_is_zero("0", 1); test_is_zero("0/1 1", 1); test_is_zero("3 -1 0 1/2 0 1", 0); test_is_zero("3 -1 0 1/2 1 1", 0); test_is_one("0", 0); test_is_one("0/1 1", 0); test_is_one("1 1/1 1", 1); test_is_one("2 1 1/2 1 1", 1); test_is_one("3 -1 0 1/2 0 1", 0); test_equal("1 1/1 2", "1 1/1 2", 1); test_equal("1 1/1 2", "1 1/1 2", 1); test_equal("3 -1 0 1/2 1 1", "2 -1 1", 1); test_equal("3 -1 0 1/2 -1 1", "2 -1 1", 0); /* Addition and subtraction **********************************************/ test_add("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 1 0 1/4 0 1 0 1"); test_add("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 3 -2 1/2 -1 1"); test_add("0/2 1 1", "1 2/1 1", "1 2"); test_add("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4"); test_add("2 1 1/1 1", "2 -1 1/1 1", "2 0 2"); test_add("2 1 1/2 0 1", "2 2 1/2 -1 1", "3 -1 2 2/3 0 -1 1"); test_add("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 7 12 7 1/3 2 3 1"); test_add("2 1 1/2 -1 1", "2 1 1", "3 0 1 1/2 -1 1"); test_add("1 1/2 1 1", "2 0 1/2 1 1", "1 1"); test_add("2 1 1/3 4 -4 1", "1 1/2 -2 1", "2 -1 2/3 4 -4 1"); test_add("3 0 1 1/3 1 2 1", "2 0 -1/2 1 1", "0"); test_add("2 1 1/2 0 1", "2 -1 1/2 0 1", "1 2"); test_add("1 1/3 3 5 2", "1 1/3 6 7 2", "1 1/3 2 3 1"); test_add_in_place1("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 1 0 1/4 0 1 0 1"); test_add_in_place1("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 3 -2 1/2 -1 1"); test_add_in_place1("0/2 1 1", "1 2/1 1", "1 2"); test_add_in_place1("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4"); test_add_in_place1("2 1 1/1 1", "2 -1 1/1 1", "2 0 2"); test_add_in_place1("2 1 1/2 0 1", "2 2 1/2 -1 1", "3 -1 2 2/3 0 -1 1"); test_add_in_place1("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 7 12 7 1/3 2 3 1"); test_add_in_place1("2 1 1/2 -1 1", "2 1 1", "3 0 1 1/2 -1 1"); test_add_in_place1("1 1/2 1 1", "2 0 1/2 1 1", "1 1"); test_add_in_place1("2 1 1/3 4 -4 1", "1 1/2 -2 1", "2 -1 2/3 4 -4 1"); test_add_in_place1("3 0 1 1/3 1 2 1", "2 0 -1/2 1 1", "0"); test_add_in_place1("2 1 1/2 0 1", "2 -1 1/2 0 1", "1 2"); test_add_in_place2("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 1 0 1/4 0 1 0 1"); test_add_in_place2("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 3 -2 1/2 -1 1"); test_add_in_place2("0/2 1 1", "1 2/1 1", "1 2"); test_add_in_place2("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4"); test_add_in_place2("2 1 1/1 1", "2 -1 1/1 1", "2 0 2"); test_add_in_place2("2 1 1/2 0 1", "2 2 1/2 -1 1", "3 -1 2 2/3 0 -1 1"); test_add_in_place2("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 7 12 7 1/3 2 3 1"); test_add_in_place2("2 1 1/2 -1 1", "2 1 1", "3 0 1 1/2 -1 1"); test_add_in_place2("1 1/2 1 1", "2 0 1/2 1 1", "1 1"); test_add_in_place2("2 1 1/3 4 -4 1", "1 1/2 -2 1", "2 -1 2/3 4 -4 1"); test_add_in_place2("3 0 1 1/3 1 2 1", "2 0 -1/2 1 1", "0"); test_add_in_place2("2 1 1/2 0 1", "2 -1 1/2 0 1", "1 2"); test_add_in_place3("2 1 1", "2 2 2"); test_add_in_place3("2 1 1/1 2", "2 1 1"); test_sub("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 3 0 1/4 0 1 0 1"); test_sub("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 -1 -2 1/2 -1 1"); test_sub("0/2 1 1", "1 2/1 1", "1 -2"); test_sub("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4"); test_sub("2 1 1/1 1", "2 -1 1/1 1", "1 2"); test_sub("2 1 1/2 0 1", "2 2 1/2 -1 1", "2 -1 -2/3 0 -1 1"); test_sub("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 -9 -12 -5 -1/3 2 3 1"); test_sub("2 -1 1/2 0 1", "1 1", "1 -1/2 0 1"); test_sub("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 3 0 1/4 0 1 0 1"); test_sub("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 -1 -2 1/2 -1 1"); test_sub("0/2 1 1", "1 2/1 1", "1 -2"); test_sub("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4"); test_sub("2 1 1/1 1", "2 -1 1/1 1", "1 2"); test_sub("2 1 1/2 0 1", "2 2 1/2 -1 1", "2 -1 -2/3 0 -1 1"); test_sub("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 -9 -12 -5 -1/3 2 3 1"); test_sub("2 1 1/2 -1 1", "2 1 1", "3 2 1 -1/2 -1 1"); test_sub("1 1/2 1 1", "2 0 1/2 1 1", "2 1 -1/2 1 1"); test_sub("2 1 1/3 4 -4 1", "1 1/2 -2 1", "1 3/3 4 -4 1"); test_sub("3 0 1 1/3 1 2 1", "2 0 -1/2 1 1", "2 0 2/2 1 1"); test_sub("2 1 1/2 0 1", "2 -1 1/2 0 1", "1 2/2 0 1"); test_sub("1 1/3 3 5 2", "1 1/3 6 7 2", "1 1/4 6 13 9 2"); test_sub("2 1 1/2 0 2", "2 1 1/2 0 2", "0"); test_sub("2 -1 2/2 0 1", "2 -1 1/2 0 1", "1 1"); test_sub_in_place1("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 3 0 1/4 0 1 0 1"); test_sub_in_place1("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 -1 -2 1/2 -1 1"); test_sub_in_place1("0/2 1 1", "1 2/1 1", "1 -2"); test_sub_in_place1("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4"); test_sub_in_place1("2 1 1/1 1", "2 -1 1/1 1", "1 2"); test_sub_in_place1("2 1 1/2 0 1", "2 2 1/2 -1 1", "2 -1 -2/3 0 -1 1"); test_sub_in_place1("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 -9 -12 -5 -1/3 2 3 1"); test_sub_in_place2("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 3 0 1/4 0 1 0 1"); test_sub_in_place2("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 -1 -2 1/2 -1 1"); test_sub_in_place2("0/2 1 1", "1 2/1 1", "1 -2"); test_sub_in_place2("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4"); test_sub_in_place2("2 1 1/1 1", "2 -1 1/1 1", "1 2"); test_sub_in_place2("2 1 1/2 0 1", "2 2 1/2 -1 1", "2 -1 -2/3 0 -1 1"); test_sub_in_place2("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 -9 -12 -5 -1/3 2 3 1"); test_sub_in_place3("2 -1 1/2 2 1", "0"); test_addmul("1 1/2 0 2", "2 3 1/1 4", "3 1 0 1/4 -2 0 0 1", "5 -4 3 1 5 1/5 0 -8 0 0 4"); test_submul("1 1/2 0 2", "2 3 1/1 4", "3 1 0 1/4 -2 0 0 1", "5 -4 -3 -1 -1 -1/5 0 -8 0 0 4"); /* Scalar multiplication and devision ************************************/ flint_mpz_init_set_si(mpzzero, 0); flint_mpz_init_set_si(mpzone, 1); flint_mpz_init_set_si(mpztwo, 2); mpq_init(mpqzero); flint_mpq_set_si(mpqzero, 0, 1); mpq_init(mpqone); flint_mpq_set_si(mpqone, 1, 1); mpq_init(mpqtwo); flint_mpq_set_si(mpqtwo, 2, 1); mpq_init(mpqtwoinv); flint_mpq_set_si(mpqtwoinv, 1, 2); test_scalar_mul_si("0", 1, "0"); test_scalar_mul_si("0", 0, "0"); test_scalar_mul_si("1 2", 0, "0"); test_scalar_mul_si("1 1/1 2", -2, "1 -1"); test_scalar_mul_si("2 1 1/2 -2 3", 5, "2 5 5/2 -2 3"); test_scalar_mul_si("2 1 1/2 -2 2", 3, "2 3 3/2 -2 2"); test_scalar_mul_mpz("0", mpzone, "0"); test_scalar_mul_mpz("0", mpzzero, "0"); test_scalar_mul_mpz("1 2", mpzzero, "0"); test_scalar_mul_mpz("1 1/1 2", mpztwo, "1 1"); test_scalar_mul_mpq("0", mpqone, "0"); test_scalar_mul_mpq("0", mpqzero, "0"); test_scalar_mul_mpq("1 2", mpqzero, "0"); test_scalar_mul_mpq("1 1/1 2", mpqtwo, "1 1"); test_scalar_mul_mpq("1 -2/1 1", mpqtwoinv, "1 -1"); test_scalar_div_si("0", 1, "0"); test_scalar_div_si("1 2", 2, "1 1"); test_scalar_div_si("1 1/1 2", -2, "1 -1/1 4"); test_scalar_div_si("3 -5 0 3/2 1 1", 2, "3 -5 0 3/2 2 2"); test_scalar_div_si("3 2 8 4/2 0 1", 3, "3 2 8 4/2 0 3"); test_scalar_div_si("3 2 8 4/2 0 1", -3, "3 -2 -8 -4/2 0 3"); test_scalar_div_si("3 -27 0 9/2 0 1", -3, "3 9 0 -3/2 0 1"); test_scalar_div_mpz("0", mpzone, "0"); test_scalar_div_mpz("1 2", mpztwo, "1 1"); test_scalar_div_mpz("1 1/1 2", mpztwo, "1 1/1 4"); test_scalar_div_mpq("0", mpqone, "0"); test_scalar_div_mpq("1 2", mpqone, "1 2"); test_scalar_div_mpq("1 1/1 2", mpqtwo, "1 1/1 4"); test_scalar_div_mpq("1 -2/1 1", mpqtwoinv, "1 -4"); mpz_clear(mpzzero); mpz_clear(mpzone); mpz_clear(mpztwo); mpq_clear(mpqzero); mpq_clear(mpqone); mpq_clear(mpqtwo); mpq_clear(mpqtwoinv); /* Multiplication, division and powing *********************************/ test_mul("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "1 -1"); test_mul("3 -1 0 1/2 1 1", "1 2/2 -1 1", "1 2"); test_mul("0/2 1 1", "1 2/1 1", "0"); test_mul("1 -3/1 4", "0/3 1 0 1", "0"); test_mul("2 1 1/1 1", "2 -1 1/1 1", "3 -1 0 1"); test_mul("2 1 1/2 0 1", "2 2 1/2 -1 1", "3 2 3 1/3 0 -1 1"); test_mul("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "3 -2 1 1/2 1 1"); test_mul_in_place1("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "1 -1"); test_mul_in_place1("3 -1 0 1/2 1 1", "1 2/2 -1 1", "1 2"); test_mul_in_place1("0/2 1 1", "1 2/1 1", "0"); test_mul_in_place1("1 -3/1 4", "0/3 1 0 1", "0"); test_mul_in_place1("2 1 1/1 1", "2 -1 1/1 1", "3 -1 0 1"); test_mul_in_place1("2 1 1/2 0 1", "2 2 1/2 -1 1", "3 2 3 1/3 0 -1 1"); test_mul_in_place1("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "3 -2 1 1/2 1 1"); test_mul_in_place2("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "1 -1"); test_mul_in_place2("3 -1 0 1/2 1 1", "1 2/2 -1 1", "1 2"); test_mul_in_place2("0/2 1 1", "1 2/1 1", "0"); test_mul_in_place2("1 -3/1 4", "0/3 1 0 1", "0"); test_mul_in_place2("2 1 1/1 1", "2 -1 1/1 1", "3 -1 0 1"); test_mul_in_place2("2 1 1/2 0 1", "2 2 1/2 -1 1", "3 2 3 1/3 0 -1 1"); test_mul_in_place2("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "3 -2 1 1/2 1 1"); test_mul_in_place3("2 0 1/2 1 1", "3 0 0 1/3 1 2 1"); test_div("3 -1 0 1/1 2", "2 1 1/1 1", "2 -1 1/1 2"); test_div("0/2 1 1", "2 1 1/1 1", "0"); test_div("3 -1 0 1/1 4", "2 -1 -1/1 2", "2 1 -1/1 2"); test_div("2 1 1", "2 1 -1/2 1 -1", "2 1 1"); test_div("2 1 1/3 4 4 1", "2 -1 1/3 6 5 1", "3 3 4 1/3 -2 1 1"); test_div_in_place1("3 -1 0 1/1 2", "2 1 1/1 1", "2 -1 1/1 2"); test_div_in_place1("0/2 1 1", "2 1 1/1 1", "0"); test_div_in_place1("3 -1 0 1/1 4", "2 -1 -1/1 2", "2 1 -1/1 2"); test_div_in_place1("2 1 1", "2 1 -1/2 1 -1", "2 1 1"); test_div_in_place1("2 1 1/3 4 4 1", "2 -1 1/3 6 5 1", "3 3 4 1/3 -2 1 1"); test_div_in_place1("0", "1 2/2 3 5", "0"); test_div_in_place2("3 -1 0 1/1 2", "2 1 1/1 1", "2 -1 1/1 2"); test_div_in_place2("0/2 1 1", "2 1 1/1 1", "0"); test_div_in_place2("3 -1 0 1/1 4", "2 -1 -1/1 2", "2 1 -1/1 2"); test_div_in_place2("2 1 1", "2 1 -1/2 1 -1", "2 1 1"); test_div_in_place2("2 1 1/3 4 4 1", "2 -1 1/3 6 5 1", "3 3 4 1/3 -2 1 1"); test_div_in_place3("3 -1 0 1/1 2", "1 1"); test_pow("2 0 -1/1 2", 3, "4 0 0 0 -1/1 8"); test_pow("0", 0, "1 1"); test_pow("2 1 -1", 0, "1 1"); test_pow("2 1 1/2 0 1", 0, "1 1"); /* Derivative ************************************************************/ test_derivative("0", "0"); test_derivative("1 2", "0"); test_derivative("1 -1/1 2", "0"); test_derivative("2 0 1", "1 1"); test_derivative("3 1 0 1", "2 0 2"); test_derivative("1 1/2 0 1", "1 -1/3 0 0 1"); test_derivative("2 2 1/2 -1 1", "1 -3/3 1 -2 1"); test_derivative("2 0 1/3 1 2 1", "2 1 -1/4 1 3 3 1"); /* Bug which allowed constant factors */ test_derivative("3 5 1 -2/2 10 2", "3 0 -10 -1/3 25 10 1"); /* Evaluation ************************************************************/ test_evaluate("1 1/1 2", -2, 3, "1/2"); test_evaluate("3 1 0 1/2 0 1", -1, 2, "-5/2"); test_evaluate("2 3 1/2 -1 1", 1, 1, "P"); test_evaluate("2 3 1/2 -1 1", 2, 3, "-11"); test_evaluate("2 3 1/2 -1 2", 1, 2, "P"); test_evaluate("2 1 1/2 -1 1", 2, 1, "3"); /* String methods ********************************************************/ fmpz_poly_q_init(qpoly1); ans = fmpz_poly_q_set_str(qpoly1, "1 3/xyz"); if ((ans == 0) || !fmpz_poly_q_is_zero(qpoly1)) { flint_printf("test_set_str: failed\n"); abort(); } fmpz_poly_q_clear(qpoly1); fmpz_poly_q_init(qpoly1); ans = fmpz_poly_q_set_str(qpoly1, "abc/1 3"); if ((ans == 0) || !fmpz_poly_q_is_zero(qpoly1)) { flint_printf("test_set_str: failed\n"); abort(); } fmpz_poly_q_clear(qpoly1); fmpz_poly_q_init(qpoly1); ans = fmpz_poly_q_set_str(qpoly1, "abc/xyz"); if ((ans == 0) || !fmpz_poly_q_is_zero(qpoly1)) { flint_printf("test_set_str: failed\n"); abort(); } fmpz_poly_q_clear(qpoly1); test_get_str_pretty("1 -3", "-3"); test_get_str_pretty("3 1 2 1", "t^2+2*t+1"); test_get_str_pretty("1 -2/2 1 1", "-2/(t+1)"); test_get_str_pretty("2 1 1/2 -1 1", "(t+1)/(t-1)"); test_get_str_pretty("2 1 1/1 2", "(t+1)/2"); test_get_str_pretty("1 1/1 2", "1/2"); FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return EXIT_SUCCESS; }