diff options
Diffstat (limited to 'gcc/tree-data-ref.c')
| -rw-r--r-- | gcc/tree-data-ref.c | 174 |
1 files changed, 174 insertions, 0 deletions
diff --git a/gcc/tree-data-ref.c b/gcc/tree-data-ref.c index 5aecbff..9e5df7d 100644 --- a/gcc/tree-data-ref.c +++ b/gcc/tree-data-ref.c @@ -340,6 +340,18 @@ print_dir_vectors (FILE *outf, VEC (lambda_vector, heap) *dir_vects, print_direction_vector (outf, v, length); } +/* 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"); +} + /* Print a vector of distance vectors. */ void @@ -2064,6 +2076,168 @@ compute_overlap_steps_for_affine_1_2 (tree chrec_a, tree chrec_b, affine_fn_free (overlaps_b_xyz); } +/* Copy the elements of vector VEC1 with length SIZE to VEC2. */ + +static void +lambda_vector_copy (lambda_vector vec1, lambda_vector vec2, + int size) +{ + memcpy (vec2, vec1, size * sizeof (*vec1)); +} + +/* Copy the elements of M x N matrix MAT1 to MAT2. */ + +static void +lambda_matrix_copy (lambda_matrix mat1, lambda_matrix mat2, + int m, int n) +{ + int i; + + for (i = 0; i < m; i++) + lambda_vector_copy (mat1[i], mat2[i], n); +} + +/* Store the N x N identity matrix in MAT. */ + +static void +lambda_matrix_id (lambda_matrix mat, int size) +{ + int i, j; + + for (i = 0; i < size; i++) + for (j = 0; j < size; j++) + mat[i][j] = (i == j) ? 1 : 0; +} + +/* 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 int +lambda_vector_first_nz (lambda_vector vec1, int n, int start) +{ + int j = start; + while (j < n && vec1[j] == 0) + j++; + return j; +} + +/* Add a multiple of row R1 of matrix MAT with N columns to row R2: + R2 = R2 + CONST1 * R1. */ + +static void +lambda_matrix_row_add (lambda_matrix mat, int n, int r1, int r2, int const1) +{ + int i; + + if (const1 == 0) + return; + + for (i = 0; i < n; i++) + mat[r2][i] += const1 * mat[r1][i]; +} + +/* Swap rows R1 and R2 in matrix MAT. */ + +static void +lambda_matrix_row_exchange (lambda_matrix mat, int r1, int r2) +{ + lambda_vector row; + + row = mat[r1]; + mat[r1] = mat[r2]; + mat[r2] = row; +} + +/* Multiply vector VEC1 of length SIZE by a constant CONST1, + and store the result in VEC2. */ + +static 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 void +lambda_vector_negate (lambda_vector vec1, lambda_vector vec2, + int size) +{ + lambda_vector_mult_const (vec1, vec2, size, -1); +} + +/* Negate row R1 of matrix MAT which has N columns. */ + +static void +lambda_matrix_row_negate (lambda_matrix mat, int n, int r1) +{ + lambda_vector_negate (mat[r1], mat[r1], n); +} + +/* Return true if two vectors are equal. */ + +static 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; +} + +/* Given an M x N integer matrix A, this function determines an M x + M unimodular matrix U, and an M x N echelon matrix S such that + "U.A = S". This decomposition is also known as "right Hermite". + + Ref: Algorithm 2.1 page 33 in "Loop Transformations for + Restructuring Compilers" Utpal Banerjee. */ + +static void +lambda_matrix_right_hermite (lambda_matrix A, int m, int n, + lambda_matrix S, lambda_matrix U) +{ + int i, j, i0 = 0; + + lambda_matrix_copy (A, S, m, n); + lambda_matrix_id (U, m); + + for (j = 0; j < n; j++) + { + if (lambda_vector_first_nz (S[j], m, i0) < m) + { + ++i0; + for (i = m - 1; i >= i0; i--) + { + while (S[i][j] != 0) + { + int sigma, factor, a, b; + + a = S[i-1][j]; + b = S[i][j]; + sigma = (a * b < 0) ? -1: 1; + a = abs (a); + b = abs (b); + factor = sigma * (a / b); + + lambda_matrix_row_add (S, n, i, i-1, -factor); + lambda_matrix_row_exchange (S, i, i-1); + + lambda_matrix_row_add (U, m, i, i-1, -factor); + lambda_matrix_row_exchange (U, i, i-1); + } + } + } + } +} + /* Determines the overlapping elements due to accesses CHREC_A and CHREC_B, that are affine functions. This function cannot handle symbolic evolution functions, ie. when initial conditions are |