int fmpq_mat_inv(fmpq_mat_t B, const fmpq_mat_t A)
{
long n = A->r;
if (n == 0)
{
return 1;
}
else if (n == 1)
{
if (fmpq_is_zero(fmpq_mat_entry(A, 0, 0)))
return 0;
fmpq_inv(fmpq_mat_entry(B, 0, 0), fmpq_mat_entry(A, 0, 0));
return 1;
}
else if (n == 2)
{
fmpq_t d;
int success;
fmpq_init(d);
fmpq_mul(d, fmpq_mat_entry(A, 0, 0), fmpq_mat_entry(A, 1, 1));
fmpq_submul(d, fmpq_mat_entry(A, 0, 1), fmpq_mat_entry(A, 1, 0));
success = !fmpq_is_zero(d);
if (success)
{
fmpq_t t00, t01, t10, t11;
fmpq_inv(d, d);
fmpq_init(t00);
fmpq_init(t01);
fmpq_init(t10);
fmpq_init(t11);
fmpq_mul(t00, fmpq_mat_entry(A, 1, 1), d);
fmpq_mul(t01, fmpq_mat_entry(A, 0, 1), d);
fmpq_mul(t10, fmpq_mat_entry(A, 1, 0), d);
fmpq_mul(t11, fmpq_mat_entry(A, 0, 0), d);
fmpq_set(fmpq_mat_entry(B, 0, 0), t00);
fmpq_neg(fmpq_mat_entry(B, 0, 1), t01);
fmpq_neg(fmpq_mat_entry(B, 1, 0), t10);
fmpq_set(fmpq_mat_entry(B, 1, 1), t11);
fmpq_clear(t00);
fmpq_clear(t01);
fmpq_clear(t10);
fmpq_clear(t11);
}
fmpq_clear(d);
return success;
}
else
{
fmpz_mat_t Aclear, Bclear, I;
fmpz * den;
long i;
int success;
fmpz_mat_init(Aclear, n, n);
fmpz_mat_init(Bclear, n, n);
fmpz_mat_init(I, n, n);
den = _fmpz_vec_init(n);
fmpq_mat_get_fmpz_mat_rowwise(Aclear, den, A);
for (i = 0; i < n; i++)
fmpz_set(fmpz_mat_entry(I, i, i), den + i);
success = fmpz_mat_solve(Bclear, den, Aclear, I);
if (success)
fmpq_mat_set_fmpz_mat_div_fmpz(B, Bclear, den);
fmpz_mat_clear(Aclear);
fmpz_mat_clear(Bclear);
fmpz_mat_clear(I);
_fmpz_vec_clear(den, A->r);
return success;
}
}
int
main(void)
{
int i;
FLINT_TEST_INIT(state);
flint_printf("submul....");
fflush(stdout);
/* x -= y * z */
for (i = 0; i < 10000; i++)
{
fmpq_t x, y, z;
mpq_t X, Y, Z;
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
mpq_init(X);
mpq_init(Y);
mpq_init(Z);
fmpq_randtest(x, state, 200);
fmpq_randtest(y, state, 200);
fmpq_randtest(z, state, 200);
fmpq_get_mpq(X, x);
fmpq_get_mpq(Y, y);
fmpq_get_mpq(Z, z);
fmpq_submul(x, y, z);
if (!fmpq_is_canonical(x))
{
flint_printf("FAIL: result not canonical!\n");
abort();
}
mpq_submul(X, Y, Z);
fmpq_get_mpq(Y, x);
if (!mpq_equal(X, Y))
{
flint_printf("FAIL: fmpq_submul(x,y,z) != mpq_submul(X,Y,Z)\n");
flint_printf("x = ");
fmpq_print(x);
flint_printf("\ny = ");
fmpq_print(y);
flint_printf("\nz = ");
fmpq_print(z);
flint_printf("\n");
abort();
}
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
mpq_clear(X);
mpq_clear(Y);
mpq_clear(Z);
}
/* x -= x * y */
for (i = 0; i < 10000; i++)
{
fmpq_t x, y;
mpq_t X, Y;
fmpq_init(x);
fmpq_init(y);
mpq_init(X);
mpq_init(Y);
fmpq_randtest(x, state, 200);
fmpq_randtest(y, state, 200);
fmpq_get_mpq(X, x);
fmpq_get_mpq(Y, y);
fmpq_submul(x, x, y);
if (!fmpq_is_canonical(x))
{
flint_printf("FAIL: result not canonical!\n");
abort();
}
mpq_submul(X, X, Y);
fmpq_get_mpq(Y, x);
if (!mpq_equal(X, Y))
{
flint_printf("FAIL: fmpq_submul(x,x,y) != mpq_submul(X,X,Y)\n");
flint_printf("x = ");
fmpq_print(x);
flint_printf("\ny = ");
fmpq_print(y);
flint_printf("\n");
abort();
}
fmpq_clear(x);
fmpq_clear(y);
mpq_clear(X);
mpq_clear(Y);
}
/* x -= y * x */
for (i = 0; i < 10000; i++)
{
fmpq_t x, y;
mpq_t X, Y;
fmpq_init(x);
fmpq_init(y);
mpq_init(X);
mpq_init(Y);
fmpq_randtest(x, state, 200);
fmpq_randtest(y, state, 200);
fmpq_get_mpq(X, x);
fmpq_get_mpq(Y, y);
fmpq_submul(x, y, x);
if (!fmpq_is_canonical(x))
{
flint_printf("FAIL: result not canonical!\n");
abort();
}
mpq_submul(X, Y, X);
fmpq_get_mpq(Y, x);
if (!mpq_equal(X, Y))
{
flint_printf("FAIL: fmpq_submul(x,y,x) != mpq_submul(X,Y,X)\n");
flint_printf("x = ");
fmpq_print(x);
flint_printf("\ny = ");
fmpq_print(y);
flint_printf("\n");
abort();
}
fmpq_clear(x);
fmpq_clear(y);
mpq_clear(X);
mpq_clear(Y);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}
int main()
{
slong iter, iter2;
flint_rand_t state;
flint_printf("submul....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100000 * arb_test_multiplier(); iter++)
{
arb_t a, b, c;
fmpq_t x, y, z;
arb_init(a);
arb_init(b);
arb_init(c);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
arb_randtest(a, state, 1 + n_randint(state, 200), 10);
arb_randtest(b, state, 1 + n_randint(state, 200), 10);
arb_randtest(c, state, 1 + n_randint(state, 200), 10);
arb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
arb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
arb_get_rand_fmpq(z, state, c, 1 + n_randint(state, 200));
arb_submul(c, a, b, 2 + n_randint(state, 200));
fmpq_submul(z, x, y);
if (!arb_contains_fmpq(c, z))
{
flint_printf("FAIL: containment\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("x = "); fmpq_print(x); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("y = "); fmpq_print(y); flint_printf("\n\n");
flint_printf("c = "); arb_print(c); flint_printf("\n\n");
flint_printf("z = "); fmpq_print(z); flint_printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
arb_clear(c);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* aliasing of c and a */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t a, b;
fmpq_t x, y, z;
arb_init(a);
arb_init(b);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
arb_randtest(a, state, 1 + n_randint(state, 200), 10);
arb_randtest(b, state, 1 + n_randint(state, 200), 10);
arb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
arb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
fmpq_set(z, x);
arb_submul(a, a, b, 2 + n_randint(state, 200));
fmpq_submul(z, x, y);
if (!arb_contains_fmpq(a, z))
{
flint_printf("FAIL: aliasing (c, a)\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("x = "); fmpq_print(x); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("y = "); fmpq_print(y); flint_printf("\n\n");
flint_printf("z = "); fmpq_print(z); flint_printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* aliasing of c and b */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t a, b;
fmpq_t x, y, z;
arb_init(a);
arb_init(b);
fmpq_init(x);
fmpq_init(y);
fmpq_init(z);
arb_randtest(a, state, 1 + n_randint(state, 200), 10);
arb_randtest(b, state, 1 + n_randint(state, 200), 10);
arb_get_rand_fmpq(x, state, a, 1 + n_randint(state, 200));
arb_get_rand_fmpq(y, state, b, 1 + n_randint(state, 200));
fmpq_set(z, y);
arb_submul(b, a, b, 2 + n_randint(state, 200));
fmpq_submul(z, x, y);
if (!arb_contains_fmpq(b, z))
{
flint_printf("FAIL: aliasing (c, b)\n\n");
flint_printf("a = "); arb_print(a); flint_printf("\n\n");
flint_printf("x = "); fmpq_print(x); flint_printf("\n\n");
flint_printf("b = "); arb_print(b); flint_printf("\n\n");
flint_printf("y = "); fmpq_print(y); flint_printf("\n\n");
flint_printf("z = "); fmpq_print(z); flint_printf("\n\n");
abort();
}
arb_clear(a);
arb_clear(b);
fmpq_clear(x);
fmpq_clear(y);
fmpq_clear(z);
}
/* main test */
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t x, y, z, v;
slong prec;
arb_init(x);
arb_init(y);
arb_init(z);
arb_init(v);
for (iter2 = 0; iter2 < 100; iter2++)
{
arb_randtest_special(x, state, n_randint(state,2) ? 2000 : 200, 200);
arb_randtest_special(y, state, n_randint(state,2) ? 2000 : 200, 200);
arb_randtest_special(z, state, n_randint(state,2) ? 2000 : 200, 200);
prec = 2 + n_randint(state, 2000);
switch (n_randint(state, 5))
{
case 0:
arb_set(v, z);
arb_submul(z, x, y, prec);
arb_submul_naive(v, x, y, prec);
if (!arf_equal(arb_midref(z), arb_midref(v))
|| !mag_close(arb_radref(z), arb_radref(v)))
{
flint_printf("FAIL!\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("y = "); arb_print(y); flint_printf("\n\n");
flint_printf("z = "); arb_print(z); flint_printf("\n\n");
flint_printf("v = "); arb_print(v); flint_printf("\n\n");
abort();
}
break;
case 1:
arb_set(y, x);
arb_set(z, v);
arb_submul(z, x, y, prec);
arb_submul(v, x, x, prec);
if (!arf_equal(arb_midref(z), arb_midref(v))
|| !mag_close(arb_radref(z), arb_radref(v)))
{
flint_printf("FAIL (aliasing 1)!\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("z = "); arb_print(z); flint_printf("\n\n");
flint_printf("v = "); arb_print(v); flint_printf("\n\n");
abort();
}
break;
case 2:
arb_set(v, x);
arb_submul(v, x, x, prec);
arb_submul(x, x, x, prec);
if (!arf_equal(arb_midref(x), arb_midref(v))
|| !mag_close(arb_radref(x), arb_radref(v)))
{
flint_printf("FAIL (aliasing 2)!\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("v = "); arb_print(v); flint_printf("\n\n");
abort();
}
break;
case 3:
arb_set(v, x);
arb_submul(v, x, y, prec);
arb_submul(x, x, y, prec);
if (!arf_equal(arb_midref(x), arb_midref(v))
|| !mag_close(arb_radref(x), arb_radref(v)))
{
flint_printf("FAIL (aliasing 3)!\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("y = "); arb_print(y); flint_printf("\n\n");
flint_printf("v = "); arb_print(v); flint_printf("\n\n");
abort();
}
break;
default:
arb_set(v, x);
arb_submul(v, x, y, prec);
arb_submul(x, y, x, prec);
if (!arf_equal(arb_midref(x), arb_midref(v))
|| !mag_close(arb_radref(x), arb_radref(v)))
{
flint_printf("FAIL (aliasing 4)!\n");
flint_printf("x = "); arb_print(x); flint_printf("\n\n");
flint_printf("y = "); arb_print(y); flint_printf("\n\n");
flint_printf("v = "); arb_print(v); flint_printf("\n\n");
abort();
}
break;
}
}
arb_clear(x);
arb_clear(y);
arb_clear(z);
arb_clear(v);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
void subtract_multiple(ElementType& result, const ElementType& a, const ElementType& b) const {fmpq_submul(&result,&a,&b);}