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/* 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
#include "vec.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;
/* A transformation matrix. */
typedef struct
{
lambda_matrix matrix;
int rowsize;
int colsize;
int denominator;
} *lambda_trans_matrix;
#define LTM_MATRIX(T) ((T)->matrix)
#define LTM_ROWSIZE(T) ((T)->rowsize)
#define LTM_COLSIZE(T) ((T)->colsize)
#define LTM_DENOMINATOR(T) ((T)->denominator)
/* A vector representing a statement in the body of a loop. */
typedef struct
{
lambda_vector coefficients;
int size;
int denominator;
} *lambda_body_vector;
#define LBV_COEFFICIENTS(T) ((T)->coefficients)
#define LBV_SIZE(T) ((T)->size)
#define LBV_DENOMINATOR(T) ((T)->denominator)
/* Piecewise linear expression. */
typedef struct lambda_linear_expression_s
{
lambda_vector coefficients;
int constant;
lambda_vector invariant_coefficients;
int denominator;
struct lambda_linear_expression_s *next;
} *lambda_linear_expression;
#define LLE_COEFFICIENTS(T) ((T)->coefficients)
#define LLE_CONSTANT(T) ((T)->constant)
#define LLE_INVARIANT_COEFFICIENTS(T) ((T)->invariant_coefficients)
#define LLE_DENOMINATOR(T) ((T)->denominator)
#define LLE_NEXT(T) ((T)->next)
lambda_linear_expression lambda_linear_expression_new (int, int);
void print_lambda_linear_expression (FILE *, lambda_linear_expression, int,
int, char);
/* Loop structure. */
typedef struct lambda_loop_s
{
lambda_linear_expression lower_bound;
lambda_linear_expression upper_bound;
lambda_linear_expression linear_offset;
int step;
} *lambda_loop;
#define LL_LOWER_BOUND(T) ((T)->lower_bound)
#define LL_UPPER_BOUND(T) ((T)->upper_bound)
#define LL_LINEAR_OFFSET(T) ((T)->linear_offset)
#define LL_STEP(T) ((T)->step)
/* Loop nest structure. */
typedef struct
{
lambda_loop *loops;
int depth;
int invariants;
} *lambda_loopnest;
#define LN_LOOPS(T) ((T)->loops)
#define LN_DEPTH(T) ((T)->depth)
#define LN_INVARIANTS(T) ((T)->invariants)
lambda_loopnest lambda_loopnest_new (int, int);
lambda_loopnest lambda_loopnest_transform (lambda_loopnest, lambda_trans_matrix);
bool lambda_transform_legal_p (lambda_trans_matrix, int, varray_type);
void print_lambda_loopnest (FILE *, lambda_loopnest, char);
#define lambda_loop_new() (lambda_loop) ggc_alloc_cleared (sizeof (struct lambda_loop_s))
void print_lambda_loop (FILE *, lambda_loop, int, int, char);
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);
lambda_trans_matrix lambda_trans_matrix_new (int, int);
bool lambda_trans_matrix_nonsingular_p (lambda_trans_matrix);
bool lambda_trans_matrix_fullrank_p (lambda_trans_matrix);
int lambda_trans_matrix_rank (lambda_trans_matrix);
lambda_trans_matrix lambda_trans_matrix_basis (lambda_trans_matrix);
lambda_trans_matrix lambda_trans_matrix_padding (lambda_trans_matrix);
lambda_trans_matrix lambda_trans_matrix_inverse (lambda_trans_matrix);
void print_lambda_trans_matrix (FILE *, lambda_trans_matrix);
void lambda_matrix_vector_mult (lambda_matrix, int, int, lambda_vector,
lambda_vector);
lambda_body_vector lambda_body_vector_new (int);
lambda_body_vector lambda_body_vector_compute_new (lambda_trans_matrix,
lambda_body_vector);
void print_lambda_body_vector (FILE *, lambda_body_vector);
struct loop;
lambda_loopnest gcc_loopnest_to_lambda_loopnest (struct loop *,
VEC(tree) **,
VEC(tree) **);
void lambda_loopnest_to_gcc_loopnest (struct loop *, VEC(tree) *,
VEC(tree) *,
lambda_loopnest,
lambda_trans_matrix);
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;
gcc_assert (start <= n);
for (j = start; j < n; j++)
{
if (vec1[j])
if (min < 0 || vec1[j] < vec1[min])
min = j;
}
gcc_assert (min >= 0);
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 */
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