245 lines
7.2 KiB
C
245 lines
7.2 KiB
C
/* Lambda matrix and vector interface.
|
|
Copyright (C) 2003, 2004 Free Software Foundation, Inc.
|
|
Contributed by Daniel Berlin <dberlin@dberlin.org>
|
|
|
|
This file is part of GCC.
|
|
|
|
GCC is free software; you can redistribute it and/or modify it under
|
|
the terms of the GNU General Public License as published by the Free
|
|
Software Foundation; either version 2, or (at your option) any later
|
|
version.
|
|
|
|
GCC 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 General Public License
|
|
for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with GCC; see the file COPYING. If not, write to the Free
|
|
Software Foundation, 59 Temple Place - Suite 330, Boston, MA
|
|
02111-1307, USA. */
|
|
|
|
#ifndef LAMBDA_H
|
|
#define LAMBDA_H
|
|
|
|
/* An integer vector. A vector formally consists of an element of a vector
|
|
space. A vector space is a set that is closed under vector addition
|
|
and scalar multiplication. In this vector space, an element is a list of
|
|
integers. */
|
|
typedef int *lambda_vector;
|
|
/* An integer matrix. A matrix consists of m vectors of length n (IE
|
|
all vectors are the same length). */
|
|
typedef lambda_vector *lambda_matrix;
|
|
|
|
lambda_matrix lambda_matrix_new (int, int);
|
|
|
|
void lambda_matrix_id (lambda_matrix, int);
|
|
void lambda_matrix_copy (lambda_matrix, lambda_matrix, int, int);
|
|
void lambda_matrix_negate (lambda_matrix, lambda_matrix, int, int);
|
|
void lambda_matrix_transpose (lambda_matrix, lambda_matrix, int, int);
|
|
void lambda_matrix_add (lambda_matrix, lambda_matrix, lambda_matrix, int,
|
|
int);
|
|
void lambda_matrix_add_mc (lambda_matrix, int, lambda_matrix, int,
|
|
lambda_matrix, int, int);
|
|
void lambda_matrix_mult (lambda_matrix, lambda_matrix, lambda_matrix,
|
|
int, int, int);
|
|
void lambda_matrix_delete_rows (lambda_matrix, int, int, int);
|
|
void lambda_matrix_row_exchange (lambda_matrix, int, int);
|
|
void lambda_matrix_row_add (lambda_matrix, int, int, int, int);
|
|
void lambda_matrix_row_negate (lambda_matrix mat, int, int);
|
|
void lambda_matrix_row_mc (lambda_matrix, int, int, int);
|
|
void lambda_matrix_col_exchange (lambda_matrix, int, int, int);
|
|
void lambda_matrix_col_add (lambda_matrix, int, int, int, int);
|
|
void lambda_matrix_col_negate (lambda_matrix, int, int);
|
|
void lambda_matrix_col_mc (lambda_matrix, int, int, int);
|
|
int lambda_matrix_inverse (lambda_matrix, lambda_matrix, int);
|
|
void lambda_matrix_hermite (lambda_matrix, int, lambda_matrix, lambda_matrix);
|
|
void lambda_matrix_left_hermite (lambda_matrix, int, int, lambda_matrix, lambda_matrix);
|
|
void lambda_matrix_right_hermite (lambda_matrix, int, int, lambda_matrix, lambda_matrix);
|
|
int lambda_matrix_first_nz_vec (lambda_matrix, int, int, int);
|
|
void lambda_matrix_project_to_null (lambda_matrix, int, int, int,
|
|
lambda_vector);
|
|
void print_lambda_matrix (FILE *, lambda_matrix, int, int);
|
|
|
|
void lambda_matrix_vector_mult (lambda_matrix, int, int, lambda_vector,
|
|
lambda_vector);
|
|
|
|
static inline void lambda_vector_negate (lambda_vector, lambda_vector, int);
|
|
static inline void lambda_vector_mult_const (lambda_vector, lambda_vector, int, int);
|
|
static inline void lambda_vector_add (lambda_vector, lambda_vector,
|
|
lambda_vector, int);
|
|
static inline void lambda_vector_add_mc (lambda_vector, int, lambda_vector, int,
|
|
lambda_vector, int);
|
|
static inline void lambda_vector_copy (lambda_vector, lambda_vector, int);
|
|
static inline bool lambda_vector_zerop (lambda_vector, int);
|
|
static inline void lambda_vector_clear (lambda_vector, int);
|
|
static inline bool lambda_vector_equal (lambda_vector, lambda_vector, int);
|
|
static inline int lambda_vector_min_nz (lambda_vector, int, int);
|
|
static inline int lambda_vector_first_nz (lambda_vector, int, int);
|
|
static inline void print_lambda_vector (FILE *, lambda_vector, int);
|
|
|
|
/* Allocate a new vector of given SIZE. */
|
|
|
|
static inline lambda_vector
|
|
lambda_vector_new (int size)
|
|
{
|
|
return ggc_alloc_cleared (size * sizeof(int));
|
|
}
|
|
|
|
|
|
|
|
/* Multiply vector VEC1 of length SIZE by a constant CONST1,
|
|
and store the result in VEC2. */
|
|
|
|
static inline void
|
|
lambda_vector_mult_const (lambda_vector vec1, lambda_vector vec2,
|
|
int size, int const1)
|
|
{
|
|
int i;
|
|
|
|
if (const1 == 0)
|
|
lambda_vector_clear (vec2, size);
|
|
else
|
|
for (i = 0; i < size; i++)
|
|
vec2[i] = const1 * vec1[i];
|
|
}
|
|
|
|
/* Negate vector VEC1 with length SIZE and store it in VEC2. */
|
|
|
|
static inline void
|
|
lambda_vector_negate (lambda_vector vec1, lambda_vector vec2,
|
|
int size)
|
|
{
|
|
lambda_vector_mult_const (vec1, vec2, size, -1);
|
|
}
|
|
|
|
/* VEC3 = VEC1+VEC2, where all three the vectors are of length SIZE. */
|
|
|
|
static inline void
|
|
lambda_vector_add (lambda_vector vec1, lambda_vector vec2,
|
|
lambda_vector vec3, int size)
|
|
{
|
|
int i;
|
|
for (i = 0; i < size; i++)
|
|
vec3[i] = vec1[i] + vec2[i];
|
|
}
|
|
|
|
/* VEC3 = CONSTANT1*VEC1 + CONSTANT2*VEC2. All vectors have length SIZE. */
|
|
|
|
static inline void
|
|
lambda_vector_add_mc (lambda_vector vec1, int const1,
|
|
lambda_vector vec2, int const2,
|
|
lambda_vector vec3, int size)
|
|
{
|
|
int i;
|
|
for (i = 0; i < size; i++)
|
|
vec3[i] = const1 * vec1[i] + const2 * vec2[i];
|
|
}
|
|
|
|
/* Copy the elements of vector VEC1 with length SIZE to VEC2. */
|
|
|
|
static inline void
|
|
lambda_vector_copy (lambda_vector vec1, lambda_vector vec2,
|
|
int size)
|
|
{
|
|
memcpy (vec2, vec1, size * sizeof (*vec1));
|
|
}
|
|
|
|
/* Return true if vector VEC1 of length SIZE is the zero vector. */
|
|
|
|
static inline bool
|
|
lambda_vector_zerop (lambda_vector vec1, int size)
|
|
{
|
|
int i;
|
|
for (i = 0; i < size; i++)
|
|
if (vec1[i] != 0)
|
|
return false;
|
|
return true;
|
|
}
|
|
|
|
/* Clear out vector VEC1 of length SIZE. */
|
|
|
|
static inline void
|
|
lambda_vector_clear (lambda_vector vec1, int size)
|
|
{
|
|
memset (vec1, 0, size * sizeof (*vec1));
|
|
}
|
|
|
|
/* Return true if two vectors are equal. */
|
|
|
|
static inline bool
|
|
lambda_vector_equal (lambda_vector vec1, lambda_vector vec2, int size)
|
|
{
|
|
int i;
|
|
for (i = 0; i < size; i++)
|
|
if (vec1[i] != vec2[i])
|
|
return false;
|
|
return true;
|
|
}
|
|
|
|
/* Return the minimum non-zero element in vector VEC1 between START and N.
|
|
We must have START <= N. */
|
|
|
|
static inline int
|
|
lambda_vector_min_nz (lambda_vector vec1, int n, int start)
|
|
{
|
|
int j;
|
|
int min = -1;
|
|
#ifdef ENABLE_CHECKING
|
|
if (start > n)
|
|
abort ();
|
|
#endif
|
|
for (j = start; j < n; j++)
|
|
{
|
|
if (vec1[j])
|
|
if (min < 0 || vec1[j] < vec1[min])
|
|
min = j;
|
|
}
|
|
|
|
if (min < 0)
|
|
abort ();
|
|
|
|
return min;
|
|
}
|
|
|
|
/* Return the first nonzero element of vector VEC1 between START and N.
|
|
We must have START <= N. Returns N if VEC1 is the zero vector. */
|
|
|
|
static inline int
|
|
lambda_vector_first_nz (lambda_vector vec1, int n, int start)
|
|
{
|
|
int j = start;
|
|
while (j < n && vec1[j] == 0)
|
|
j++;
|
|
return j;
|
|
}
|
|
|
|
|
|
/* Multiply a vector by a matrix. */
|
|
|
|
static inline void
|
|
lambda_vector_matrix_mult (lambda_vector vect, int m, lambda_matrix mat,
|
|
int n, lambda_vector dest)
|
|
{
|
|
int i, j;
|
|
lambda_vector_clear (dest, n);
|
|
for (i = 0; i < n; i++)
|
|
for (j = 0; j < m; j++)
|
|
dest[i] += mat[j][i] * vect[j];
|
|
}
|
|
|
|
|
|
/* Print out a vector VEC of length N to OUTFILE. */
|
|
|
|
static inline void
|
|
print_lambda_vector (FILE * outfile, lambda_vector vector, int n)
|
|
{
|
|
int i;
|
|
|
|
for (i = 0; i < n; i++)
|
|
fprintf (outfile, "%3d ", vector[i]);
|
|
fprintf (outfile, "\n");
|
|
}
|
|
#endif /* LAMBDA_H */
|
|
|