+/*
+ * Copyright 2008-2009 Katholieke Universiteit Leuven
+ *
+ * Use of this software is governed by the GNU LGPLv2.1 license
+ *
+ * Written by Sven Verdoolaege, K.U.Leuven, Departement
+ * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
+ */
+
#include "isl_dim.h"
#include "isl_seq.h"
#include "isl_mat.h"
#include "isl_map_private.h"
+#include <isl_dim_private.h>
struct isl_mat *isl_mat_alloc(struct isl_ctx *ctx,
unsigned n_row, unsigned n_col)
if (mat->max_col < n_col) {
struct isl_mat *new_mat;
+ if (n_row < mat->n_row)
+ n_row = mat->n_row;
new_mat = isl_mat_alloc(mat->ctx, n_row, n_col);
if (!new_mat)
goto error;
if (!mat)
goto error;
- assert(mat->ref == 1);
old = mat->block.data;
mat->block = isl_blk_extend(mat->ctx, mat->block, n_row * mat->max_col);
if (isl_blk_is_error(mat->block))
if (!mat || !vec)
goto error;
- isl_assert(ctx, mat->n_col == vec->size, goto error);
+ isl_assert(mat->ctx, mat->n_col == vec->size, goto error);
prod = isl_vec_alloc(mat->ctx, mat->n_row);
if (!prod)
return NULL;
}
+__isl_give isl_vec *isl_mat_vec_inverse_product(__isl_take isl_mat *mat,
+ __isl_take isl_vec *vec)
+{
+ struct isl_mat *vec_mat;
+ int i;
+
+ if (!mat || !vec)
+ goto error;
+ vec_mat = isl_mat_alloc(vec->ctx, vec->size, 1);
+ if (!vec_mat)
+ goto error;
+ for (i = 0; i < vec->size; ++i)
+ isl_int_set(vec_mat->row[i][0], vec->el[i]);
+ vec_mat = isl_mat_inverse_product(mat, vec_mat);
+ isl_vec_free(vec);
+ if (!vec_mat)
+ return NULL;
+ vec = isl_vec_alloc(vec_mat->ctx, vec_mat->n_row);
+ if (vec)
+ for (i = 0; i < vec->size; ++i)
+ isl_int_set(vec->el[i], vec_mat->row[i][0]);
+ isl_mat_free(vec_mat);
+ return vec;
+error:
+ isl_mat_free(mat);
+ isl_vec_free(vec);
+ return NULL;
+}
+
+struct isl_vec *isl_vec_mat_product(struct isl_vec *vec, struct isl_mat *mat)
+{
+ int i, j;
+ struct isl_vec *prod;
+
+ if (!mat || !vec)
+ goto error;
+
+ isl_assert(mat->ctx, mat->n_row == vec->size, goto error);
+
+ prod = isl_vec_alloc(mat->ctx, mat->n_col);
+ if (!prod)
+ goto error;
+
+ for (i = 0; i < prod->size; ++i) {
+ isl_int_set_si(prod->el[i], 0);
+ for (j = 0; j < vec->size; ++j)
+ isl_int_addmul(prod->el[i], vec->el[j], mat->row[j][i]);
+ }
+ isl_mat_free(mat);
+ isl_vec_free(vec);
+ return prod;
+error:
+ isl_mat_free(mat);
+ isl_vec_free(vec);
+ return NULL;
+}
+
struct isl_mat *isl_mat_aff_direct_sum(struct isl_mat *left,
struct isl_mat *right)
{
if (!left || !right)
goto error;
- isl_assert(ctx, left->n_row == right->n_row, goto error);
- isl_assert(ctx, left->n_row >= 1, goto error);
- isl_assert(ctx, left->n_col >= 1, goto error);
- isl_assert(ctx, right->n_col >= 1, goto error);
- isl_assert(ctx,
+ isl_assert(left->ctx, left->n_row == right->n_row, goto error);
+ isl_assert(left->ctx, left->n_row >= 1, goto error);
+ isl_assert(left->ctx, left->n_col >= 1, goto error);
+ isl_assert(left->ctx, right->n_col >= 1, goto error);
+ isl_assert(left->ctx,
isl_seq_first_non_zero(left->row[0]+1, left->n_col-1) == -1,
goto error);
- isl_assert(ctx,
+ isl_assert(left->ctx,
isl_seq_first_non_zero(right->row[0]+1, right->n_col-1) == -1,
goto error);
return NULL;
mat2 = isl_mat_alloc(mat->ctx, 1+mat->n_row, 1+mat->n_col);
if (!mat2)
- return NULL;
+ goto error;
isl_int_set_si(mat2->row[0][0], 1);
isl_seq_clr(mat2->row[0]+1, mat->n_col);
for (i = 0; i < mat->n_row; ++i) {
}
isl_mat_free(mat);
return mat2;
+error:
+ isl_mat_free(mat);
+ return NULL;
+}
+
+/* Given two matrices M1 and M2, return the block matrix
+ *
+ * [ M1 0 ]
+ * [ 0 M2 ]
+ */
+__isl_give isl_mat *isl_mat_diagonal(__isl_take isl_mat *mat1,
+ __isl_take isl_mat *mat2)
+{
+ int i;
+ isl_mat *mat;
+
+ if (!mat1 || !mat2)
+ goto error;
+
+ mat = isl_mat_alloc(mat1->ctx, mat1->n_row + mat2->n_row,
+ mat1->n_col + mat2->n_col);
+ if (!mat)
+ goto error;
+ for (i = 0; i < mat1->n_row; ++i) {
+ isl_seq_cpy(mat->row[i], mat1->row[i], mat1->n_col);
+ isl_seq_clr(mat->row[i] + mat1->n_col, mat2->n_col);
+ }
+ for (i = 0; i < mat2->n_row; ++i) {
+ isl_seq_clr(mat->row[mat1->n_row + i], mat1->n_col);
+ isl_seq_cpy(mat->row[mat1->n_row + i] + mat1->n_col,
+ mat2->row[i], mat2->n_col);
+ }
+ isl_mat_free(mat1);
+ isl_mat_free(mat2);
+ return mat;
+error:
+ isl_mat_free(mat1);
+ isl_mat_free(mat2);
+ return NULL;
}
static int row_first_non_zero(isl_int **row, unsigned n_row, unsigned col)
if (pivot < 0) {
isl_int_clear(a);
isl_int_clear(b);
- isl_assert(ctx, pivot >= 0, goto error);
+ isl_assert(left->ctx, pivot >= 0, goto error);
}
pivot += row;
if (pivot != row)
isl_int_gcd(a, left->row[row][row], left->row[i][row]);
isl_int_divexact(b, left->row[i][row], a);
isl_int_divexact(a, left->row[row][row], a);
- isl_int_neg(a, a);
- isl_seq_combine(left->row[i]+row,
- a, left->row[i]+row,
- b, left->row[row]+row,
- left->n_col-row);
+ isl_int_neg(b, b);
+ isl_seq_combine(left->row[i] + i,
+ a, left->row[i] + i,
+ b, left->row[row] + i,
+ left->n_col - i);
isl_seq_combine(right->row[i], a, right->row[i],
b, right->row[row], right->n_col);
}
isl_int_lcm(a, a, left->row[row][row]);
if (isl_int_is_zero(a)){
isl_int_clear(a);
- isl_assert(ctx, 0, goto error);
+ isl_assert(left->ctx, 0, goto error);
}
for (row = 0; row < left->n_row; ++row) {
isl_int_divexact(left->row[row][row], a, left->row[row][row]);
if (pivot < 0) {
isl_int_clear(a);
isl_int_clear(b);
- goto error;
+ isl_assert(mat->ctx, pivot >= 0, goto error);
}
pivot += row;
if (pivot != row)
mat = isl_mat_cow(mat);
if (!mat)
return NULL;
- isl_assert(ctx, i < mat->n_col, goto error);
- isl_assert(ctx, j < mat->n_col, goto error);
+ isl_assert(mat->ctx, i < mat->n_col, goto error);
+ isl_assert(mat->ctx, j < mat->n_col, goto error);
for (r = 0; r < mat->n_row; ++r)
isl_int_swap(mat->row[r][i], mat->row[r][j]);
if (!left || !right)
goto error;
- isl_assert(ctx, left->n_col == right->n_row, goto error);
+ isl_assert(left->ctx, left->n_col == right->n_row, goto error);
prod = isl_mat_alloc(left->ctx, left->n_row, right->n_col);
if (!prod)
goto error;
isl_assert(ctx, bset->dim->nparam == 0, goto error);
isl_assert(ctx, 1+bset->dim->n_out == mat->n_row, goto error);
+ isl_assert(ctx, mat->n_col > 0, goto error);
- if (mat->n_col > mat->n_row)
- bset = isl_basic_set_extend(bset, 0, mat->n_col-1, 0,
- 0, 0);
- else if (mat->n_col < mat->n_row) {
+ if (mat->n_col > mat->n_row) {
+ bset = isl_basic_set_extend(bset, 0, mat->n_col-1, 0, 0, 0);
+ if (!bset)
+ goto error;
+ } else if (mat->n_col < mat->n_row) {
bset->dim = isl_dim_cow(bset->dim);
if (!bset->dim)
goto error;
return mat;
}
+__isl_give isl_mat *isl_mat_insert_cols(__isl_take isl_mat *mat,
+ unsigned col, unsigned n)
+{
+ isl_mat *ext;
+
+ if (!mat)
+ return NULL;
+ if (n == 0)
+ return mat;
+
+ ext = isl_mat_alloc(mat->ctx, mat->n_row, mat->n_col + n);
+ if (!ext)
+ goto error;
+
+ isl_mat_sub_copy(mat->ctx, ext->row, mat->row, mat->n_row, 0, 0, col);
+ isl_mat_sub_copy(mat->ctx, ext->row, mat->row, mat->n_row,
+ col + n, col, mat->n_col - col);
+
+ isl_mat_free(mat);
+ return ext;
+error:
+ isl_mat_free(mat);
+ return NULL;
+}
+
+__isl_give isl_mat *isl_mat_insert_zero_cols(__isl_take isl_mat *mat,
+ unsigned first, unsigned n)
+{
+ int i;
+
+ if (!mat)
+ return NULL;
+ mat = isl_mat_insert_cols(mat, first, n);
+ if (!mat)
+ return NULL;
+
+ for (i = 0; i < mat->n_row; ++i)
+ isl_seq_clr(mat->row[i] + first, n);
+
+ return mat;
+}
+
+__isl_give isl_mat *isl_mat_add_zero_cols(__isl_take isl_mat *mat, unsigned n)
+{
+ if (!mat)
+ return NULL;
+
+ return isl_mat_insert_zero_cols(mat, mat->n_col, n);
+}
+
+__isl_give isl_mat *isl_mat_insert_rows(__isl_take isl_mat *mat,
+ unsigned row, unsigned n)
+{
+ isl_mat *ext;
+
+ if (!mat)
+ return NULL;
+ if (n == 0)
+ return mat;
+
+ ext = isl_mat_alloc(mat->ctx, mat->n_row + n, mat->n_col);
+ if (!ext)
+ goto error;
+
+ isl_mat_sub_copy(mat->ctx, ext->row, mat->row, row, 0, 0, mat->n_col);
+ isl_mat_sub_copy(mat->ctx, ext->row + row + n, mat->row + row,
+ mat->n_row - row, 0, 0, mat->n_col);
+
+ isl_mat_free(mat);
+ return ext;
+error:
+ isl_mat_free(mat);
+ return NULL;
+}
+
+__isl_give isl_mat *isl_mat_add_rows(__isl_take isl_mat *mat, unsigned n)
+{
+ if (!mat)
+ return NULL;
+
+ return isl_mat_insert_rows(mat, mat->n_row, n);
+}
+
void isl_mat_col_submul(struct isl_mat *mat,
int dst_col, isl_int f, int src_col)
{
int r;
struct isl_mat *H = NULL, *Q = NULL;
- isl_assert(ctx, M->n_row == M->n_col, goto error);
+ if (!M)
+ return NULL;
+
+ isl_assert(M->ctx, M->n_row == M->n_col, goto error);
M->n_row = row;
H = isl_mat_left_hermite(isl_mat_copy(M), 0, NULL, &Q);
M->n_row = M->n_col;
if (!H)
goto error;
for (r = 0; r < row; ++r)
- isl_assert(ctx, isl_int_is_one(H->row[r][r]), goto error);
+ isl_assert(M->ctx, isl_int_is_one(H->row[r][r]), goto error);
for (r = row; r < M->n_row; ++r)
isl_seq_cpy(M->row[r], Q->row[r], M->n_col);
isl_mat_free(H);
isl_mat_free(M);
return NULL;
}
+
+__isl_give isl_mat *isl_mat_concat(__isl_take isl_mat *top,
+ __isl_take isl_mat *bot)
+{
+ struct isl_mat *mat;
+
+ if (!top || !bot)
+ goto error;
+
+ isl_assert(top->ctx, top->n_col == bot->n_col, goto error);
+ if (top->n_row == 0) {
+ isl_mat_free(top);
+ return bot;
+ }
+ if (bot->n_row == 0) {
+ isl_mat_free(bot);
+ return top;
+ }
+
+ mat = isl_mat_alloc(top->ctx, top->n_row + bot->n_row, top->n_col);
+ if (!mat)
+ goto error;
+ isl_mat_sub_copy(mat->ctx, mat->row, top->row, top->n_row,
+ 0, 0, mat->n_col);
+ isl_mat_sub_copy(mat->ctx, mat->row + top->n_row, bot->row, bot->n_row,
+ 0, 0, mat->n_col);
+ isl_mat_free(top);
+ isl_mat_free(bot);
+ return mat;
+error:
+ isl_mat_free(top);
+ isl_mat_free(bot);
+ return NULL;
+}
+
+int isl_mat_is_equal(__isl_keep isl_mat *mat1, __isl_keep isl_mat *mat2)
+{
+ int i;
+
+ if (!mat1 || !mat2)
+ return -1;
+
+ if (mat1->n_row != mat2->n_row)
+ return 0;
+
+ if (mat1->n_col != mat2->n_col)
+ return 0;
+
+ for (i = 0; i < mat1->n_row; ++i)
+ if (!isl_seq_eq(mat1->row[i], mat2->row[i], mat1->n_col))
+ return 0;
+
+ return 1;
+}
+
+__isl_give isl_mat *isl_mat_from_row_vec(__isl_take isl_vec *vec)
+{
+ struct isl_mat *mat;
+
+ if (!vec)
+ return NULL;
+ mat = isl_mat_alloc(vec->ctx, 1, vec->size);
+ if (!mat)
+ goto error;
+
+ isl_seq_cpy(mat->row[0], vec->el, vec->size);
+
+ isl_vec_free(vec);
+ return mat;
+error:
+ isl_vec_free(vec);
+ return NULL;
+}
+
+__isl_give isl_mat *isl_mat_vec_concat(__isl_take isl_mat *top,
+ __isl_take isl_vec *bot)
+{
+ return isl_mat_concat(top, isl_mat_from_row_vec(bot));
+}
+
+__isl_give isl_mat *isl_mat_move_cols(__isl_take isl_mat *mat,
+ unsigned dst_col, unsigned src_col, unsigned n)
+{
+ isl_mat *res;
+
+ if (!mat)
+ return NULL;
+ if (n == 0 || dst_col == src_col)
+ return mat;
+
+ res = isl_mat_alloc(mat->ctx, mat->n_row, mat->n_col);
+ if (!res)
+ goto error;
+
+ if (dst_col < src_col) {
+ isl_mat_sub_copy(res->ctx, res->row, mat->row, mat->n_row,
+ 0, 0, dst_col);
+ isl_mat_sub_copy(res->ctx, res->row, mat->row, mat->n_row,
+ dst_col, src_col, n);
+ isl_mat_sub_copy(res->ctx, res->row, mat->row, mat->n_row,
+ dst_col + n, dst_col, src_col - dst_col);
+ isl_mat_sub_copy(res->ctx, res->row, mat->row, mat->n_row,
+ src_col + n, src_col + n,
+ res->n_col - src_col - n);
+ } else {
+ isl_mat_sub_copy(res->ctx, res->row, mat->row, mat->n_row,
+ 0, 0, src_col);
+ isl_mat_sub_copy(res->ctx, res->row, mat->row, mat->n_row,
+ src_col, src_col + n, dst_col - src_col);
+ isl_mat_sub_copy(res->ctx, res->row, mat->row, mat->n_row,
+ dst_col, src_col, n);
+ isl_mat_sub_copy(res->ctx, res->row, mat->row, mat->n_row,
+ dst_col + n, dst_col + n,
+ res->n_col - dst_col - n);
+ }
+ isl_mat_free(mat);
+
+ return res;
+error:
+ isl_mat_free(mat);
+ return NULL;
+}
+
+void isl_mat_gcd(__isl_keep isl_mat *mat, isl_int *gcd)
+{
+ int i;
+ isl_int g;
+
+ isl_int_set_si(*gcd, 0);
+ if (!mat)
+ return;
+
+ isl_int_init(g);
+ for (i = 0; i < mat->n_row; ++i) {
+ isl_seq_gcd(mat->row[i], mat->n_col, &g);
+ isl_int_gcd(*gcd, *gcd, g);
+ }
+ isl_int_clear(g);
+}
+
+__isl_give isl_mat *isl_mat_scale_down(__isl_take isl_mat *mat, isl_int m)
+{
+ int i;
+
+ if (!mat)
+ return NULL;
+
+ for (i = 0; i < mat->n_row; ++i)
+ isl_seq_scale_down(mat->row[i], mat->row[i], m, mat->n_col);
+
+ return mat;
+}
+
+__isl_give isl_mat *isl_mat_normalize(__isl_take isl_mat *mat)
+{
+ isl_int gcd;
+
+ if (!mat)
+ return NULL;
+
+ isl_int_init(gcd);
+ isl_mat_gcd(mat, &gcd);
+ mat = isl_mat_scale_down(mat, gcd);
+ isl_int_clear(gcd);
+
+ return mat;
+}
projects / platform / upstream / isl.git / blobdiff