gcc/lambda.h

   1 /* Lambda matrix and vector interface.
   2    Copyright (C) 2003, 2004 Free Software Foundation, Inc.
   3    Contributed by Daniel Berlin <dberlin@dberlin.org>
   4
   5 This file is part of GCC.
   6
   7 GCC is free software; you can redistribute it and/or modify it under
   8 the terms of the GNU General Public License as published by the Free
   9 Software Foundation; either version 2, or (at your option) any later
  10 version.
  11
  12 GCC is distributed in the hope that it will be useful, but WITHOUT ANY
  13 WARRANTY; without even the implied warranty of MERCHANTABILITY or
  14 FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
  15 for more details.
  16
  17 You should have received a copy of the GNU General Public License
  18 along with GCC; see the file COPYING.  If not, write to the Free
  19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA
  20 02111-1307, USA.  */
  21
  22 #ifndef LAMBDA_H
  23 #define LAMBDA_H
  24
  25 /* An integer vector.  A vector formally consists of an element of a vector
  26    space. A vector space is a set that is closed under vector addition
  27    and scalar multiplication.  In this vector space, an element is a list of
  28    integers.  */
  29 typedef int *lambda_vector;
  30 /* An integer matrix.  A matrix consists of m vectors of length n (IE
  31    all vectors are the same length).  */
  32 typedef lambda_vector *lambda_matrix;
  33
  34 lambda_matrix lambda_matrix_new (int, int);
  35
  36 void lambda_matrix_id (lambda_matrix, int);
  37 void lambda_matrix_copy (lambda_matrix, lambda_matrix, int, int);
  38 void lambda_matrix_negate (lambda_matrix, lambda_matrix, int, int);
  39 void lambda_matrix_transpose (lambda_matrix, lambda_matrix, int, int);
  40 void lambda_matrix_add (lambda_matrix, lambda_matrix, lambda_matrix, int,
  41                         int);
  42 void lambda_matrix_add_mc (lambda_matrix, int, lambda_matrix, int,
  43                            lambda_matrix, int, int);
  44 void lambda_matrix_mult (lambda_matrix, lambda_matrix, lambda_matrix,
  45                          int, int, int);
  46 void lambda_matrix_delete_rows (lambda_matrix, int, int, int);
  47 void lambda_matrix_row_exchange (lambda_matrix, int, int);
  48 void lambda_matrix_row_add (lambda_matrix, int, int, int, int);
  49 void lambda_matrix_row_negate (lambda_matrix mat, int, int);
  50 void lambda_matrix_row_mc (lambda_matrix, int, int, int);
  51 void lambda_matrix_col_exchange (lambda_matrix, int, int, int);
  52 void lambda_matrix_col_add (lambda_matrix, int, int, int, int);
  53 void lambda_matrix_col_negate (lambda_matrix, int, int);
  54 void lambda_matrix_col_mc (lambda_matrix, int, int, int);
  55 int lambda_matrix_inverse (lambda_matrix, lambda_matrix, int);
  56 void lambda_matrix_hermite (lambda_matrix, int, lambda_matrix, lambda_matrix);
  57 void lambda_matrix_left_hermite (lambda_matrix, int, int, lambda_matrix, lambda_matrix);
  58 void lambda_matrix_right_hermite (lambda_matrix, int, int, lambda_matrix, lambda_matrix);
  59 int lambda_matrix_first_nz_vec (lambda_matrix, int, int, int);
  60 void lambda_matrix_project_to_null (lambda_matrix, int, int, int,
  61                                     lambda_vector);
  62 void print_lambda_matrix (FILE *, lambda_matrix, int, int);
  63
  64 void lambda_matrix_vector_mult (lambda_matrix, int, int, lambda_vector,
  65                                 lambda_vector);
  66
  67 static inline void lambda_vector_negate (lambda_vector, lambda_vector, int);
  68 static inline void lambda_vector_mult_const (lambda_vector, lambda_vector, int, int);
  69 static inline void lambda_vector_add (lambda_vector, lambda_vector,
  70                                       lambda_vector, int);
  71 static inline void lambda_vector_add_mc (lambda_vector, int, lambda_vector, int,
  72                                          lambda_vector, int);
  73 static inline void lambda_vector_copy (lambda_vector, lambda_vector, int);
  74 static inline bool lambda_vector_zerop (lambda_vector, int);
  75 static inline void lambda_vector_clear (lambda_vector, int);
  76 static inline bool lambda_vector_equal (lambda_vector, lambda_vector, int);
  77 static inline int lambda_vector_min_nz (lambda_vector, int, int);
  78 static inline int lambda_vector_first_nz (lambda_vector, int, int);
  79 static inline void print_lambda_vector (FILE *, lambda_vector, int);
  80
  81 /* Allocate a new vector of given SIZE.  */
  82
  83 static inline lambda_vector
  84 lambda_vector_new (int size)
  85 {
  86   return ggc_alloc_cleared (size * sizeof(int));
  87 }
  88
  89
  90
  91 /* Multiply vector VEC1 of length SIZE by a constant CONST1,
  92    and store the result in VEC2.  */
  93
  94 static inline void
  95 lambda_vector_mult_const (lambda_vector vec1, lambda_vector vec2,
  96                           int size, int const1)
  97 {
  98   int i;
  99
 100   if (const1 == 0)
 101     lambda_vector_clear (vec2, size);
 102   else
 103     for (i = 0; i < size; i++)
 104       vec2[i] = const1 * vec1[i];
 105 }
 106
 107 /* Negate vector VEC1 with length SIZE and store it in VEC2.  */
 108
 109 static inline void
 110 lambda_vector_negate (lambda_vector vec1, lambda_vector vec2,
 111                       int size)
 112 {
 113   lambda_vector_mult_const (vec1, vec2, size, -1);
 114 }
 115
 116 /* VEC3 = VEC1+VEC2, where all three the vectors are of length SIZE.  */
 117
 118 static inline void
 119 lambda_vector_add (lambda_vector vec1, lambda_vector vec2,
 120                    lambda_vector vec3, int size)
 121 {
 122   int i;
 123   for (i = 0; i < size; i++)
 124     vec3[i] = vec1[i] + vec2[i];
 125 }
 126
 127 /* VEC3 = CONSTANT1*VEC1 + CONSTANT2*VEC2.  All vectors have length SIZE.  */
 128
 129 static inline void
 130 lambda_vector_add_mc (lambda_vector vec1, int const1,
 131                       lambda_vector vec2, int const2,
 132                       lambda_vector vec3, int size)
 133 {
 134   int i;
 135   for (i = 0; i < size; i++)
 136     vec3[i] = const1 * vec1[i] + const2 * vec2[i];
 137 }
 138
 139 /* Copy the elements of vector VEC1 with length SIZE to VEC2.  */
 140
 141 static inline void
 142 lambda_vector_copy (lambda_vector vec1, lambda_vector vec2,
 143                     int size)
 144 {
 145   memcpy (vec2, vec1, size * sizeof (*vec1));
 146 }
 147
 148 /* Return true if vector VEC1 of length SIZE is the zero vector.  */
 149
 150 static inline bool
 151 lambda_vector_zerop (lambda_vector vec1, int size)
 152 {
 153   int i;
 154   for (i = 0; i < size; i++)
 155     if (vec1[i] != 0)
 156       return false;
 157   return true;
 158 }
 159
 160 /* Clear out vector VEC1 of length SIZE.  */
 161
 162 static inline void
 163 lambda_vector_clear (lambda_vector vec1, int size)
 164 {
 165   memset (vec1, 0, size * sizeof (*vec1));
 166 }
 167
 168 /* Return true if two vectors are equal.  */
 169
 170 static inline bool
 171 lambda_vector_equal (lambda_vector vec1, lambda_vector vec2, int size)
 172 {
 173   int i;
 174   for (i = 0; i < size; i++)
 175     if (vec1[i] != vec2[i])
 176       return false;
 177   return true;
 178 }
 179
 180 /* Return the minimum non-zero element in vector VEC1 between START and N.
 181    We must have START <= N.  */
 182
 183 static inline int
 184 lambda_vector_min_nz (lambda_vector vec1, int n, int start)
 185 {
 186   int j;
 187   int min = -1;
 188 #ifdef ENABLE_CHECKING
 189   if (start > n)
 190     abort ();
 191 #endif
 192   for (j = start; j < n; j++)
 193     {
 194       if (vec1[j])
 195         if (min < 0 || vec1[j] < vec1[min])
 196           min = j;
 197     }
 198
 199   if (min < 0)
 200     abort ();
 201
 202   return min;
 203 }
 204
 205 /* Return the first nonzero element of vector VEC1 between START and N.
 206    We must have START <= N.   Returns N if VEC1 is the zero vector.  */
 207
 208 static inline int
 209 lambda_vector_first_nz (lambda_vector vec1, int n, int start)
 210 {
 211   int j = start;
 212   while (j < n && vec1[j] == 0)
 213     j++;
 214   return j;
 215 }
 216
 217
 218 /* Multiply a vector by a matrix.  */
 219
 220 static inline void
 221 lambda_vector_matrix_mult (lambda_vector vect, int m, lambda_matrix mat,
 222                            int n, lambda_vector dest)
 223 {
 224   int i, j;
 225   lambda_vector_clear (dest, n);
 226   for (i = 0; i < n; i++)
 227     for (j = 0; j < m; j++)
 228       dest[i] += mat[j][i] * vect[j];
 229 }
 230
 231
 232 /* Print out a vector VEC of length N to OUTFILE.  */
 233
 234 static inline void
 235 print_lambda_vector (FILE * outfile, lambda_vector vector, int n)
 236 {
 237   int i;
 238
 239   for (i = 0; i < n; i++)
 240     fprintf (outfile, "%3d ", vector[i]);
 241   fprintf (outfile, "\n");
 242 }
 243 #endif /* LAMBDA_H  */
 244