/* Lambda matrix and vector interface. Copyright (C) 2003, 2004 Free Software Foundation, Inc. Contributed by Daniel Berlin 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); struct loop; struct loops; bool perfect_nest_p (struct loop *); 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); bool lambda_matrix_id_p (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); bool lambda_trans_matrix_id_p (lambda_trans_matrix); 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); lambda_loopnest gcc_loopnest_to_lambda_loopnest (struct loops *, struct loop *, VEC(tree) **, VEC(tree) **, bool); 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 nonzero 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 */