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/* Tests matrix22_mul.
Copyright 2008 Free Software Foundation, Inc.
This file is part of the GNU MP Library.
The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 3 of the License, or (at your
option) any later version.
The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */
#include <stdio.h>
#include <stdlib.h>
#include "gmp.h"
#include "gmp-impl.h"
#include "tests.h"
struct matrix {
mp_size_t alloc;
mp_size_t n;
mp_ptr e00, e01, e10, e11;
};
static void
matrix_init (struct matrix *M, mp_size_t n)
{
mp_ptr p = refmpn_malloc_limbs (4*(n+1));
M->e00 = p; p += n+1;
M->e01 = p; p += n+1;
M->e10 = p; p += n+1;
M->e11 = p;
M->alloc = n + 1;
M->n = 0;
}
static void
matrix_clear (struct matrix *M)
{
refmpn_free_limbs (M->e00);
}
static void
matrix_copy (struct matrix *R, const struct matrix *M)
{
R->n = M->n;
MPN_COPY (R->e00, M->e00, M->n);
MPN_COPY (R->e01, M->e01, M->n);
MPN_COPY (R->e10, M->e10, M->n);
MPN_COPY (R->e11, M->e11, M->n);
}
/* Used with same size, so no need for normalization. */
static int
matrix_equal_p (const struct matrix *A, const struct matrix *B)
{
return (A->n == B->n
&& mpn_cmp (A->e00, B->e00, A->n) == 0
&& mpn_cmp (A->e01, B->e01, A->n) == 0
&& mpn_cmp (A->e10, B->e10, A->n) == 0
&& mpn_cmp (A->e11, B->e11, A->n) == 0);
}
static void
matrix_random(struct matrix *M, mp_size_t n, gmp_randstate_ptr rands)
{
M->n = n;
mpn_random (M->e00, n);
mpn_random (M->e01, n);
mpn_random (M->e10, n);
mpn_random (M->e11, n);
}
#define MUL(rp, ap, an, bp, bn) do { \
if (an > bn) \
mpn_mul (rp, ap, an, bp, bn); \
else \
mpn_mul (rp, bp, bn, ap, an); \
} while(0)
static void
ref_matrix22_mul (struct matrix *R,
const struct matrix *A,
const struct matrix *B, mp_ptr tp)
{
mp_size_t an, bn, n;
mp_ptr r00, r01, r10, r11, a00, a01, a10, a11, b00, b01, b10, b11;
if (A->n >= B->n)
{
r00 = R->e00; a00 = A->e00; b00 = B->e00;
r01 = R->e01; a01 = A->e01; b01 = B->e01;
r10 = R->e10; a10 = A->e10; b10 = B->e10;
r11 = R->e11; a11 = A->e11; b11 = B->e11;
an = A->n, bn = B->n;
}
else
{
/* Transpose */
r00 = R->e00; a00 = B->e00; b00 = A->e00;
r01 = R->e10; a01 = B->e10; b01 = A->e10;
r10 = R->e01; a10 = B->e01; b10 = A->e01;
r11 = R->e11; a11 = B->e11; b11 = A->e11;
an = B->n, bn = A->n;
}
n = an + bn;
R->n = n + 1;
mpn_mul (r00, a00, an, b00, bn);
mpn_mul (tp, a01, an, b10, bn);
r00[n] = mpn_add_n (r00, r00, tp, n);
mpn_mul (r01, a00, an, b01, bn);
mpn_mul (tp, a01, an, b11, bn);
r01[n] = mpn_add_n (r01, r01, tp, n);
mpn_mul (r10, a10, an, b00, bn);
mpn_mul (tp, a11, an, b10, bn);
r10[n] = mpn_add_n (r10, r10, tp, n);
mpn_mul (r11, a10, an, b01, bn);
mpn_mul (tp, a11, an, b11, bn);
r11[n] = mpn_add_n (r11, r11, tp, n);
}
static void
one_test (const struct matrix *A, const struct matrix *B, int i)
{
struct matrix R;
struct matrix P;
mp_ptr tp;
matrix_init (&R, A->n + B->n + 1);
matrix_init (&P, A->n + B->n + 1);
tp = refmpn_malloc_limbs (mpn_matrix22_mul_itch (A->n, B->n));
ref_matrix22_mul (&R, A, B, tp);
matrix_copy (&P, A);
mpn_matrix22_mul (P.e00, P.e01, P.e10, P.e11, A->n,
B->e00, B->e01, B->e10, B->e11, B->n, tp);
P.n = A->n + B->n + 1;
if (!matrix_equal_p (&R, &P))
{
fprintf (stderr, "ERROR in test %d\n", i);
gmp_fprintf (stderr, "A = (%Nx, %Nx\n %Nx, %Nx)\n"
"B = (%Nx, %Nx\n %Nx, %Nx)\n"
"R = (%Nx, %Nx (expected)\n %Nx, %Nx)\n"
"P = (%Nx, %Nx (incorrect)\n %Nx, %Nx)\n",
A->e00, A->n, A->e01, A->n, A->e10, A->n, A->e11, A->n,
B->e00, B->n, B->e01, B->n, B->e10, B->n, B->e11, B->n,
R.e00, R.n, R.e01, R.n, R.e10, R.n, R.e11, R.n,
P.e00, P.n, P.e01, P.n, P.e10, P.n, P.e11, P.n);
abort();
}
refmpn_free_limbs (tp);
matrix_clear (&R);
matrix_clear (&P);
}
#define MAX_SIZE (2+2*MATRIX22_STRASSEN_THRESHOLD)
int
main (int argc, char **argv)
{
struct matrix A;
struct matrix B;
gmp_randstate_ptr rands;
mpz_t bs;
int i;
tests_start ();
rands = RANDS;
matrix_init (&A, MAX_SIZE);
matrix_init (&B, MAX_SIZE);
mpz_init (bs);
for (i = 0; i < 17; i++)
{
mp_size_t an, bn;
mpz_urandomb (bs, rands, 32);
an = 1 + mpz_get_ui (bs) % MAX_SIZE;
mpz_urandomb (bs, rands, 32);
bn = 1 + mpz_get_ui (bs) % MAX_SIZE;
matrix_random (&A, an, rands);
matrix_random (&B, bn, rands);
one_test (&A, &B, i);
}
mpz_clear (bs);
matrix_clear (&A);
matrix_clear (&B);
return 0;
}
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