/* in2 = in1 / in2 */
void test_div_in_place2(char * in1, char * in2, char * out)
{
int ans;
fmpz_poly_q_t op1, op2;
char * res;
fmpz_poly_q_init(op1);
fmpz_poly_q_set_str(op1, in1);
fmpz_poly_q_init(op2);
fmpz_poly_q_set_str(op2, in2);
fmpz_poly_q_div(op2, op1, op2);
res = fmpz_poly_q_get_str(op2);
ans = !strcmp(out, res);
if (!ans)
{
flint_printf("test_div_in_place2: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", out, res);
abort();
}
fmpz_poly_q_clear(op1);
fmpz_poly_q_clear(op2);
flint_free(res);
}
void test_submul(char * in1, char * in2, char * in3, char * out)
{
int ans;
fmpz_poly_q_t rop, op1, op2;
char * res;
fmpz_poly_q_init(rop);
fmpz_poly_q_set_str(rop, in1);
fmpz_poly_q_init(op1);
fmpz_poly_q_set_str(op1, in2);
fmpz_poly_q_init(op2);
fmpz_poly_q_set_str(op2, in3);
fmpz_poly_q_submul(rop, op1, op2);
res = fmpz_poly_q_get_str(rop);
ans = !strcmp(out, res);
if (!ans)
{
flint_printf("test_submul: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", out, res);
abort();
}
fmpz_poly_q_clear(rop);
fmpz_poly_q_clear(op1);
fmpz_poly_q_clear(op2);
flint_free(res);
}
void test_equal(char * in1, char * in2, int out)
{
int ans;
fmpz_poly_q_t op1, op2;
int res;
fmpz_poly_q_init(op1);
fmpz_poly_q_set_str(op1, in1);
fmpz_poly_q_init(op2);
fmpz_poly_q_set_str(op2, in2);
res = fmpz_poly_q_equal(op1, op2);
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(op1);
fmpz_poly_q_clear(op2);
}
void test_swap(char * in1, char * in2, char * out1, char * out2)
{
int ans;
fmpz_poly_q_t op1, op2;
char * res1;
char * res2;
fmpz_poly_q_init(op1);
fmpz_poly_q_set_str(op1, in1);
fmpz_poly_q_init(op2);
fmpz_poly_q_set_str(op2, in2);
fmpz_poly_q_swap(op1, op2);
res1 = fmpz_poly_q_get_str(op1);
res2 = fmpz_poly_q_get_str(op2);
ans = !strcmp(out1, res1) && !strcmp(out2, res2);
if (!ans)
{
flint_printf("test_swap: failed\n");
flint_printf(" Expected \"%s\" \"%s\", got \"%s\" \"%s\"\n", out1, out2, res1, res2);
abort();
}
fmpz_poly_q_clear(op1);
fmpz_poly_q_clear(op2);
flint_free(res1);
flint_free(res2);
}
void test_derivative(char * in, char * out)
{
int ans;
fmpz_poly_q_t rop, op;
char * res;
fmpz_poly_q_init(op);
fmpz_poly_q_set_str(op, in);
fmpz_poly_q_init(rop);
fmpz_poly_q_derivative(rop, op);
res = fmpz_poly_q_get_str(rop);
ans = !strcmp(out, res);
if (!ans)
{
flint_printf("test_derivative: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", out, res);
abort();
}
fmpz_poly_q_clear(op);
fmpz_poly_q_clear(rop);
flint_free(res);
}
void test_evaluate(char * in, int numa, int numb, char * out)
{
int ans, pole;
fmpz_poly_q_t op;
mpq_t rop, a;
char *res = NULL;
fmpz_poly_q_init(op);
fmpz_poly_q_set_str(op, in);
mpq_init(a);
flint_mpq_set_si(a, numa, numb);
mpq_init(rop);
pole = fmpz_poly_q_evaluate(rop, op, a);
if (pole && strcmp(out, "P"))
{
flint_printf("test_evaluate: failed\n");
flint_printf(" Expected \"%s\", got a pole\n", out);
abort();
}
if (!pole && !strcmp(out, "P"))
{
res = mpq_get_str(NULL, 10, rop);
flint_printf("test_evaluate: failed\n");
flint_printf(" Expected a pole, got \"%s\"\n", res);
abort();
}
if (!pole)
{
res = mpq_get_str(NULL, 10, rop);
ans = (strcmp(out, res) == 0);
if (!ans)
{
flint_printf("test_evaluate: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", out, res);
abort();
}
}
fmpz_poly_q_clear(op);
mpq_clear(rop);
mpq_clear(a);
flint_free(res);
}
void test_is_one(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_one(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 test_set_si(slong x, char * out)
{
int ans;
fmpz_poly_q_t rop;
char * res;
fmpz_poly_q_init(rop);
fmpz_poly_q_set_si(rop, x);
res = fmpz_poly_q_get_str(rop);
ans = !strcmp(out, res);
if (!ans)
{
flint_printf("test_set_si: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", out, res);
abort();
}
fmpz_poly_q_clear(rop);
flint_free(res);
}
int
main(void)
{
int i, result;
FLINT_TEST_INIT(state);
flint_printf("inv... ");
fflush(stdout);
/* Check aliasing of a and b */
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_not_zero(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_inv(b, a);
fmpz_poly_q_inv(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 a * (1/a) == 1 */
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_not_zero(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_inv(b, a);
fmpz_poly_q_mul(b, a, b);
result = fmpz_poly_q_is_one(b) && fmpz_poly_q_is_canonical(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);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int
main(void)
{
int i, result;
flint_rand_t state;
printf("scalar_div_si... ");
fflush(stdout);
flint_randinit(state);
/* Check aliasing of a and b */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b;
long x;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
x = z_randtest_not_zero(state);
fmpz_poly_q_scalar_div_si(a, b, x);
fmpz_poly_q_scalar_div_si(b, b, x);
result = fmpz_poly_q_equal(a, b);
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a), printf("\n\n");
fmpz_poly_q_print(b), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
}
/* Check that (a + b) / x == a / x + b / x */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c, d;
long x;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_init(d);
fmpz_poly_q_randtest(a, state, n_randint(state, 50), 50,
n_randint(state, 50), 50);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50,
n_randint(state, 50), 50);
x = z_randtest_not_zero(state);
fmpz_poly_q_scalar_div_si(c, a, x);
fmpz_poly_q_scalar_div_si(d, b, x);
fmpz_poly_q_add(d, c, d);
fmpz_poly_q_add(c, a, b);
fmpz_poly_q_scalar_div_si(c, c, x);
result = fmpz_poly_q_equal(c, d) && fmpz_poly_q_is_canonical(c);
if (!result)
{
printf("FAIL:\n");
printf("a = "), fmpz_poly_q_print(a), printf("\n\n");
printf("b = "), fmpz_poly_q_print(b), printf("\n\n");
printf("c = "), fmpz_poly_q_print(c), printf("\n\n");
printf("d = "), fmpz_poly_q_print(d), printf("\n\n");
printf("x = %ld\n\n", x);
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
fmpz_poly_q_clear(d);
}
flint_randclear(state);
_fmpz_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int
main(void)
{
int i, result;
flint_rand_t state;
printf("evaluate...");
fflush(stdout);
flint_randinit(state);
/* Check aliasing */
for (i = 0; i < 100; i++)
{
int ans1, ans2;
mpq_t a, b;
fmpz_t num, den;
fmpz_poly_q_t f;
mpq_init(a);
mpq_init(b);
fmpz_init(num);
fmpz_init(den);
fmpz_poly_q_init(f);
fmpz_poly_q_randtest(f, state, n_randint(state, 10), 10, n_randint(state, 10), 10);
fmpz_randtest(num, state, 50);
fmpz_randtest_not_zero(den, state, 50);
fmpz_get_mpz(mpq_numref(a), num);
fmpz_get_mpz(mpq_denref(a), den);
mpq_canonicalize(a);
ans1 = fmpz_poly_q_evaluate(b, f, a);
ans2 = fmpz_poly_q_evaluate(a, f, a);
result = (ans1 == ans2) && mpq_equal(a, b);
if (!result)
{
printf("FAIL:\n");
printf("f = "), fmpz_poly_q_print(f), printf("\n");
printf("num = "), fmpz_print(num), printf("\n");
printf("den = "), fmpz_print(den), printf("\n");
gmp_printf("a = %Qd\n", a);
gmp_printf("b = %Qd\n", b);
printf("ans1 = %d\n", ans1);
printf("ans2 = %d\n", ans2);
abort();
}
mpq_clear(a);
mpq_clear(b);
fmpz_clear(num);
fmpz_clear(den);
fmpz_poly_q_clear(f);
}
flint_randclear(state);
_fmpz_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
int
main(void)
{
int i, result;
flint_rand_t state;
printf("submul... ");
fflush(stdout);
flint_randinit(state);
/* Check aliasing of a and c */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_randtest(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_set(c, a);
fmpz_poly_q_submul(c, a, b);
fmpz_poly_q_submul(a, a, b);
result = fmpz_poly_q_equal(a, c) && fmpz_poly_q_is_canonical(a);
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a), printf("\n\n");
fmpz_poly_q_print(b), printf("\n\n");
fmpz_poly_q_print(c), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
}
/* Check aliasing of b and c */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_randtest(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_set(c, b);
fmpz_poly_q_submul(c, a, b);
fmpz_poly_q_submul(b, a, b);
result = fmpz_poly_q_equal(b, c);
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a), printf("\n\n");
fmpz_poly_q_print(b), printf("\n\n");
fmpz_poly_q_print(c), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
}
flint_randclear(state);
_fmpz_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
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;
}
int
main(void)
{
int i, result;
flint_rand_t state;
printf("scalar_mul_mpq... ");
fflush(stdout);
flint_randinit(state);
/* Check aliasing of a and b */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b;
fmpz_t x1, x2;
mpq_t y;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_init(x1);
fmpz_init(x2);
mpq_init(y);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_randtest(x1, state, 50);
fmpz_randtest_not_zero(x2, state, 50);
fmpz_get_mpz(mpq_numref(y), x1);
fmpz_get_mpz(mpq_denref(y), x2);
mpq_canonicalize(y);
fmpz_poly_q_scalar_mul_mpq(a, b, y);
fmpz_poly_q_scalar_mul_mpq(b, b, y);
result = fmpz_poly_q_equal(a, b);
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a), printf("\n\n");
fmpz_poly_q_print(b), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_clear(x1);
fmpz_clear(x2);
mpq_clear(y);
}
/* Check that x (a + b) == x * a + x * b */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c, d;
fmpz_t x1, x2;
mpq_t y;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_init(d);
fmpz_init(x1);
fmpz_init(x2);
mpq_init(y);
fmpz_poly_q_randtest(a, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_randtest(x1, state, 50);
fmpz_randtest_not_zero(x2, state, 50);
fmpz_get_mpz(mpq_numref(y), x1);
fmpz_get_mpz(mpq_denref(y), x2);
mpq_canonicalize(y);
fmpz_poly_q_scalar_mul_mpq(c, a, y);
fmpz_poly_q_scalar_mul_mpq(d, b, y);
fmpz_poly_q_add(d, c, d);
fmpz_poly_q_add(c, a, b);
fmpz_poly_q_scalar_mul_mpq(c, c, y);
result = fmpz_poly_q_equal(c, d) && fmpz_poly_q_is_canonical(c);
if (!result)
{
printf("FAIL:\n");
printf("a = "), fmpz_poly_q_print(a), printf("\n\n");
printf("b = "), fmpz_poly_q_print(b), printf("\n\n");
printf("c = "), fmpz_poly_q_print(c), printf("\n\n");
printf("d = "), fmpz_poly_q_print(d), printf("\n\n");
gmp_printf("y = %Qd\n\n", y);
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
fmpz_poly_q_clear(d);
fmpz_clear(x1);
fmpz_clear(x2);
mpq_clear(y);
}
flint_randclear(state);
_fmpz_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
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_rand_t state;
printf("div... ");
fflush(stdout);
flint_randinit(state);
/* Check aliasing of a and b */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest_not_zero(c, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_div(a, b, c);
fmpz_poly_q_div(b, b, c);
result = fmpz_poly_q_equal(a, b);
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a), printf("\n\n");
fmpz_poly_q_print(b), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
}
/* Check aliasing of a and c */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a, b, c;
fmpz_poly_q_init(a);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_randtest(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest_not_zero(c, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_div(a, b, c);
fmpz_poly_q_div(c, b, c);
result = (fmpz_poly_q_equal(a, c));
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a), printf("\n\n");
fmpz_poly_q_print(c), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
}
/* Check (c/b)+(d/b) = (c+d)/b */
for (i = 0; i < 100; i++)
{
fmpz_poly_q_t a1, a2, b, c, d;
fmpz_poly_q_init(a1);
fmpz_poly_q_init(a2);
fmpz_poly_q_init(b);
fmpz_poly_q_init(c);
fmpz_poly_q_init(d);
fmpz_poly_q_randtest_not_zero(b, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest(c, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_randtest(d, state, n_randint(state, 50), 50, n_randint(state, 50), 50);
fmpz_poly_q_div(a1, c, b);
fmpz_poly_q_div(a2, d, b);
fmpz_poly_q_add(a1, a1, a2);
fmpz_poly_q_add(c, c, d);
fmpz_poly_q_div(a2, c, b);
result = fmpz_poly_q_equal(a1, a2) && fmpz_poly_q_is_canonical(a1);
if (!result)
{
printf("FAIL:\n");
fmpz_poly_q_print(a1), printf("\n\n");
fmpz_poly_q_print(a2), printf("\n\n");
abort();
}
fmpz_poly_q_clear(a1);
fmpz_poly_q_clear(a2);
fmpz_poly_q_clear(b);
fmpz_poly_q_clear(c);
fmpz_poly_q_clear(d);
}
flint_randclear(state);
_fmpz_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}
