--- /dev/null
+/* Loop transformation code generation
+ 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. */
+
+#include "config.h"
+#include "system.h"
+#include "coretypes.h"
+#include "tm.h"
+#include "errors.h"
+#include "ggc.h"
+#include "tree.h"
+#include "target.h"
+#include "rtl.h"
+#include "basic-block.h"
+#include "diagnostic.h"
+#include "tree-flow.h"
+#include "tree-dump.h"
+#include "timevar.h"
+#include "cfgloop.h"
+#include "expr.h"
+#include "optabs.h"
+#include "tree-chrec.h"
+#include "tree-data-ref.h"
+#include "tree-pass.h"
+#include "tree-scalar-evolution.h"
+#include "vec.h"
+#include "lambda.h"
+
+/* This loop nest code generation is based on non-singular matrix
+ math.
+
+ A little terminology and a general sketch of the algorithm. See "A singular
+ loop transformatrion framework based on non-singular matrices" by Wei Li and
+ Keshav Pingali for formal proofs that the various statements below are
+ correct.
+
+ A loop iteration space are the points traversed by the loop. A point in the
+ iteration space can be represented by a vector of size <loop depth>. You can
+ therefore represent the iteration space as a integral combinations of a set
+ of basis vectors.
+
+ A loop iteration space is dense if every integer point between the loop
+ bounds is a point in the iteration space. Every loop with a step of 1
+ therefore has a dense iteration space.
+
+ for i = 1 to 3, step 1 is a dense iteration space.
+
+ A loop iteration space is sparse if it is not dense. That is, the iteration
+ space skips integer points that are within the loop bounds.
+
+ for i = 1 to 3, step 2 is a sparse iteration space, because the integer point
+ 2 is skipped.
+
+ Dense source spaces are easy to transform, because they don't skip any
+ points to begin with. Thus we can compute the exact bounds of the target
+ space using min/max and floor/ceil.
+
+ For a dense source space, we take the transformation matrix, decompose it
+ into a lower triangular part (H) and a unimodular part (U).
+ We then compute the auxillary space from the unimodular part (source loop
+ nest . U = auxillary space) , which has two important properties:
+ 1. It traverses the iterations in the same lexicographic order as the source
+ space.
+ 2. It is a dense space when the source is a dense space (even if the target
+ space is going to be sparse).
+
+ Given the auxillary space, we use the lower triangular part to compute the
+ bounds in the target space by simple matrix multiplication.
+ The gaps in the target space (IE the new loop step sizes) will be the
+ diagonals of the H matrix.
+
+ Sparse source spaces require another step, because you can't directly compute
+ the exact bounds of the auxillary and target space from the sparse space.
+ Rather than try to come up with a separate algorithm to handle sparse source
+ spaces directly, we just find a legal transformation matrix that gives you
+ the sparse source space, from a dense space, and then transform the dense
+ space.
+
+ For a regular sparse space, you can represent the source space as an integer
+ lattice, and the base space of that lattice will always be dense. Thus, we
+ effectively use the lattice to figure out the transformation from the lattice
+ base space, to the sparse iteration space (IE what transform was applied to
+ the dense space to make it sparse). We then compose this transform with the
+ transformation matrix specified by the user (since our matrix transformations
+ are closed under composition, this is okay). We can then use the base space
+ (which is dense) plus the composed transformation matrix, to compute the rest
+ of the transform using the dense space algorithm above.
+
+ In other words, our sparse source space (B) is decomposed into a dense base
+ space (A), and a matrix (L) that transforms A into B, such that A.L = B.
+ We then compute the composition of L and the user transformation matrix (T),
+ so that T is now a transform from A to the result, instead of from B to the
+ result.
+ IE A.(LT) = result instead of B.T = result
+ Since A is now a dense source space, we can use the dense source space
+ algorithm above to compute the result of applying transform (LT) to A.
+
+ Fourier-Motzkin elimination is used to compute the bounds of the base space
+ of the lattice. */
+
+/* Lattice stuff that is internal to the code generation algorithm. */
+
+typedef struct
+{
+ /* Lattice base matrix. */
+ lambda_matrix base;
+ /* Lattice dimension. */
+ int dimension;
+ /* Origin vector for the coefficients. */
+ lambda_vector origin;
+ /* Origin matrix for the invariants. */
+ lambda_matrix origin_invariants;
+ /* Number of invariants. */
+ int invariants;
+} *lambda_lattice;
+
+#define LATTICE_BASE(T) ((T)->base)
+#define LATTICE_DIMENSION(T) ((T)->dimension)
+#define LATTICE_ORIGIN(T) ((T)->origin)
+#define LATTICE_ORIGIN_INVARIANTS(T) ((T)->origin_invariants)
+#define LATTICE_INVARIANTS(T) ((T)->invariants)
+
+static bool lle_equal (lambda_linear_expression, lambda_linear_expression,
+ int, int);
+static lambda_lattice lambda_lattice_new (int, int);
+static lambda_lattice lambda_lattice_compute_base (lambda_loopnest);
+
+static tree find_induction_var_from_exit_cond (struct loop *);
+
+/* Create a new lambda body vector. */
+
+lambda_body_vector
+lambda_body_vector_new (int size)
+{
+ lambda_body_vector ret;
+
+ ret = ggc_alloc (sizeof (*ret));
+ LBV_COEFFICIENTS (ret) = lambda_vector_new (size);
+ LBV_SIZE (ret) = size;
+ LBV_DENOMINATOR (ret) = 1;
+ return ret;
+}
+
+/* Compute the new coefficients for the vector based on the
+ *inverse* of the transformation matrix. */
+
+lambda_body_vector
+lambda_body_vector_compute_new (lambda_trans_matrix transform,
+ lambda_body_vector vect)
+{
+ lambda_body_vector temp;
+ int depth;
+
+ /* Make sure the matrix is square. */
+ if (LTM_ROWSIZE (transform) != LTM_COLSIZE (transform))
+ abort ();
+
+ depth = LTM_ROWSIZE (transform);
+
+ temp = lambda_body_vector_new (depth);
+ LBV_DENOMINATOR (temp) =
+ LBV_DENOMINATOR (vect) * LTM_DENOMINATOR (transform);
+ lambda_vector_matrix_mult (LBV_COEFFICIENTS (vect), depth,
+ LTM_MATRIX (transform), depth,
+ LBV_COEFFICIENTS (temp));
+ LBV_SIZE (temp) = LBV_SIZE (vect);
+ return temp;
+}
+
+/* Print out a lambda body vector. */
+
+void
+print_lambda_body_vector (FILE * outfile, lambda_body_vector body)
+{
+ print_lambda_vector (outfile, LBV_COEFFICIENTS (body), LBV_SIZE (body));
+}
+
+/* Return TRUE if two linear expressions are equal. */
+
+static bool
+lle_equal (lambda_linear_expression lle1, lambda_linear_expression lle2,
+ int depth, int invariants)
+{
+ int i;
+
+ if (lle1 == NULL || lle2 == NULL)
+ return false;
+ if (LLE_CONSTANT (lle1) != LLE_CONSTANT (lle2))
+ return false;
+ if (LLE_DENOMINATOR (lle1) != LLE_DENOMINATOR (lle2))
+ return false;
+ for (i = 0; i < depth; i++)
+ if (LLE_COEFFICIENTS (lle1)[i] != LLE_COEFFICIENTS (lle2)[i])
+ return false;
+ for (i = 0; i < invariants; i++)
+ if (LLE_INVARIANT_COEFFICIENTS (lle1)[i] !=
+ LLE_INVARIANT_COEFFICIENTS (lle2)[i])
+ return false;
+ return true;
+}
+
+/* Create a new linear expression with dimension DIM, and total number
+ of invariants INVARIANTS. */
+
+lambda_linear_expression
+lambda_linear_expression_new (int dim, int invariants)
+{
+ lambda_linear_expression ret;
+
+ ret = ggc_alloc_cleared (sizeof (*ret));
+
+ LLE_COEFFICIENTS (ret) = lambda_vector_new (dim);
+ LLE_CONSTANT (ret) = 0;
+ LLE_INVARIANT_COEFFICIENTS (ret) = lambda_vector_new (invariants);
+ LLE_DENOMINATOR (ret) = 1;
+ LLE_NEXT (ret) = NULL;
+
+ return ret;
+}
+
+/* Print out a linear expression EXPR, with SIZE coefficients, to OUTFILE.
+ The starting letter used for variable names is START. */
+
+static void
+print_linear_expression (FILE * outfile, lambda_vector expr, int size,
+ char start)
+{
+ int i;
+ bool first = true;
+ for (i = 0; i < size; i++)
+ {
+ if (expr[i] != 0)
+ {
+ if (first)
+ {
+ if (expr[i] < 0)
+ fprintf (outfile, "-");
+ first = false;
+ }
+ else if (expr[i] > 0)
+ fprintf (outfile, " + ");
+ else
+ fprintf (outfile, " - ");
+ if (abs (expr[i]) == 1)
+ fprintf (outfile, "%c", start + i);
+ else
+ fprintf (outfile, "%d%c", abs (expr[i]), start + i);
+ }
+ }
+}
+
+/* Print out a lambda linear expression structure, EXPR, to OUTFILE. The
+ depth/number of coefficients is given by DEPTH, the number of invariants is
+ given by INVARIANTS, and the character to start variable names with is given
+ by START. */
+
+void
+print_lambda_linear_expression (FILE * outfile,
+ lambda_linear_expression expr,
+ int depth, int invariants, char start)
+{
+ fprintf (outfile, "\tLinear expression: ");
+ print_linear_expression (outfile, LLE_COEFFICIENTS (expr), depth, start);
+ fprintf (outfile, " constant: %d ", LLE_CONSTANT (expr));
+ fprintf (outfile, " invariants: ");
+ print_linear_expression (outfile, LLE_INVARIANT_COEFFICIENTS (expr),
+ invariants, 'A');
+ fprintf (outfile, " denominator: %d\n", LLE_DENOMINATOR (expr));
+}
+
+/* Print a lambda loop structure LOOP to OUTFILE. The depth/number of
+ coefficients is given by DEPTH, the number of invariants is
+ given by INVARIANTS, and the character to start variable names with is given
+ by START. */
+
+void
+print_lambda_loop (FILE * outfile, lambda_loop loop, int depth,
+ int invariants, char start)
+{
+ int step;
+ lambda_linear_expression expr;
+
+ if (!loop)
+ abort ();
+
+ expr = LL_LINEAR_OFFSET (loop);
+ step = LL_STEP (loop);
+ fprintf (outfile, " step size = %d \n", step);
+
+ if (expr)
+ {
+ fprintf (outfile, " linear offset: \n");
+ print_lambda_linear_expression (outfile, expr, depth, invariants,
+ start);
+ }
+
+ fprintf (outfile, " lower bound: \n");
+ for (expr = LL_LOWER_BOUND (loop); expr != NULL; expr = LLE_NEXT (expr))
+ print_lambda_linear_expression (outfile, expr, depth, invariants, start);
+ fprintf (outfile, " upper bound: \n");
+ for (expr = LL_UPPER_BOUND (loop); expr != NULL; expr = LLE_NEXT (expr))
+ print_lambda_linear_expression (outfile, expr, depth, invariants, start);
+}
+
+/* Create a new loop nest structure with DEPTH loops, and INVARIANTS as the
+ number of invariants. */
+
+lambda_loopnest
+lambda_loopnest_new (int depth, int invariants)
+{
+ lambda_loopnest ret;
+ ret = ggc_alloc (sizeof (*ret));
+
+ LN_LOOPS (ret) = ggc_alloc_cleared (depth * sizeof (lambda_loop));
+ LN_DEPTH (ret) = depth;
+ LN_INVARIANTS (ret) = invariants;
+
+ return ret;
+}
+
+/* Print a lambda loopnest structure, NEST, to OUTFILE. The starting
+ character to use for loop names is given by START. */
+
+void
+print_lambda_loopnest (FILE * outfile, lambda_loopnest nest, char start)
+{
+ int i;
+ for (i = 0; i < LN_DEPTH (nest); i++)
+ {
+ fprintf (outfile, "Loop %c\n", start + i);
+ print_lambda_loop (outfile, LN_LOOPS (nest)[i], LN_DEPTH (nest),
+ LN_INVARIANTS (nest), 'i');
+ fprintf (outfile, "\n");
+ }
+}
+
+/* Allocate a new lattice structure of DEPTH x DEPTH, with INVARIANTS number
+ of invariants. */
+
+static lambda_lattice
+lambda_lattice_new (int depth, int invariants)
+{
+ lambda_lattice ret;
+ ret = ggc_alloc (sizeof (*ret));
+ LATTICE_BASE (ret) = lambda_matrix_new (depth, depth);
+ LATTICE_ORIGIN (ret) = lambda_vector_new (depth);
+ LATTICE_ORIGIN_INVARIANTS (ret) = lambda_matrix_new (depth, invariants);
+ LATTICE_DIMENSION (ret) = depth;
+ LATTICE_INVARIANTS (ret) = invariants;
+ return ret;
+}
+
+/* Compute the lattice base for NEST. The lattice base is essentially a
+ non-singular transform from a dense base space to a sparse iteration space.
+ We use it so that we don't have to specially handle the case of a sparse
+ iteration space in other parts of the algorithm. As a result, this routine
+ only does something interesting (IE produce a matrix that isn't the
+ identity matrix) if NEST is a sparse space. */
+
+static lambda_lattice
+lambda_lattice_compute_base (lambda_loopnest nest)
+{
+ lambda_lattice ret;
+ int depth, invariants;
+ lambda_matrix base;
+
+ int i, j, step;
+ lambda_loop loop;
+ lambda_linear_expression expression;
+
+ depth = LN_DEPTH (nest);
+ invariants = LN_INVARIANTS (nest);
+
+ ret = lambda_lattice_new (depth, invariants);
+ base = LATTICE_BASE (ret);
+ for (i = 0; i < depth; i++)
+ {
+ loop = LN_LOOPS (nest)[i];
+ if (!loop)
+ abort ();
+ step = LL_STEP (loop);
+ /* If we have a step of 1, then the base is one, and the
+ origin and invariant coefficients are 0. */
+ if (step == 1)
+ {
+ for (j = 0; j < depth; j++)
+ base[i][j] = 0;
+ base[i][i] = 1;
+ LATTICE_ORIGIN (ret)[i] = 0;
+ for (j = 0; j < invariants; j++)
+ LATTICE_ORIGIN_INVARIANTS (ret)[i][j] = 0;
+ }
+ else
+ {
+ /* Otherwise, we need the lower bound expression (which must
+ be an affine function) to determine the base. */
+ expression = LL_LOWER_BOUND (loop);
+ if (!expression
+ || LLE_NEXT (expression) || LLE_DENOMINATOR (expression) != 1)
+ abort ();
+
+ /* The lower triangular portion of the base is going to be the
+ coefficient times the step */
+ for (j = 0; j < i; j++)
+ base[i][j] = LLE_COEFFICIENTS (expression)[j]
+ * LL_STEP (LN_LOOPS (nest)[j]);
+ base[i][i] = step;
+ for (j = i + 1; j < depth; j++)
+ base[i][j] = 0;
+
+ /* Origin for this loop is the constant of the lower bound
+ expression. */
+ LATTICE_ORIGIN (ret)[i] = LLE_CONSTANT (expression);
+
+ /* Coefficient for the invariants are equal to the invariant
+ coefficients in the expression. */
+ for (j = 0; j < invariants; j++)
+ LATTICE_ORIGIN_INVARIANTS (ret)[i][j] =
+ LLE_INVARIANT_COEFFICIENTS (expression)[j];
+ }
+ }
+ return ret;
+}
+
+/* Compute the greatest common denominator of two numbers (A and B) using
+ Euclid's algorithm. */
+
+static int
+gcd (int a, int b)
+{
+
+ int x, y, z;
+
+ x = abs (a);
+ y = abs (b);
+
+ while (x > 0)
+ {
+ z = y % x;
+ y = x;
+ x = z;
+ }
+
+ return (y);
+}
+
+/* Compute the greatest common denominator of a VECTOR of SIZE numbers. */
+
+static int
+gcd_vector (lambda_vector vector, int size)
+{
+ int i;
+ int gcd1 = 0;
+
+ if (size > 0)
+ {
+ gcd1 = vector[0];
+ for (i = 1; i < size; i++)
+ gcd1 = gcd (gcd1, vector[i]);
+ }
+ return gcd1;
+}
+
+/* Compute the least common multiple of two numbers A and B . */
+
+static int
+lcm (int a, int b)
+{
+ return (abs (a) * abs (b) / gcd (a, b));
+}
+
+/* Compute the loop bounds for the auxiliary space NEST.
+ Input system used is Ax <= b. TRANS is the unimodular transformation. */
+
+static lambda_loopnest
+lambda_compute_auxillary_space (lambda_loopnest nest,
+ lambda_trans_matrix trans)
+{
+ lambda_matrix A, B, A1, B1, temp0;
+ lambda_vector a, a1, temp1;
+ lambda_matrix invertedtrans;
+ int determinant, depth, invariants, size, newsize;
+ int i, j, k;
+ lambda_loopnest auxillary_nest;
+ lambda_loop loop;
+ lambda_linear_expression expression;
+ lambda_lattice lattice;
+
+ int multiple, f1, f2;
+
+ depth = LN_DEPTH (nest);
+ invariants = LN_INVARIANTS (nest);
+
+ /* Unfortunately, we can't know the number of constraints we'll have
+ ahead of time, but this should be enough even in ridiculous loop nest
+ cases. We abort if we go over this limit. */
+ A = lambda_matrix_new (128, depth);
+ B = lambda_matrix_new (128, invariants);
+ a = lambda_vector_new (128);
+
+ A1 = lambda_matrix_new (128, depth);
+ B1 = lambda_matrix_new (128, invariants);
+ a1 = lambda_vector_new (128);
+
+ /* Store the bounds in the equation matrix A, constant vector a, and
+ invariant matrix B, so that we have Ax <= a + B.
+ This requires a little equation rearranging so that everything is on the
+ correct side of the inequality. */
+ size = 0;
+ for (i = 0; i < depth; i++)
+ {
+ loop = LN_LOOPS (nest)[i];
+
+ /* First we do the lower bound. */
+ if (LL_STEP (loop) > 0)
+ expression = LL_LOWER_BOUND (loop);
+ else
+ expression = LL_UPPER_BOUND (loop);
+
+ for (; expression != NULL; expression = LLE_NEXT (expression))
+ {
+ /* Fill in the coefficient. */
+ for (j = 0; j < i; j++)
+ A[size][j] = LLE_COEFFICIENTS (expression)[j];
+
+ /* And the invariant coefficient. */
+ for (j = 0; j < invariants; j++)
+ B[size][j] = LLE_INVARIANT_COEFFICIENTS (expression)[j];
+
+ /* And the constant. */
+ a[size] = LLE_CONSTANT (expression);
+
+ /* Convert (2x+3y+2+b)/4 <= z to 2x+3y-4z <= -2-b. IE put all
+ constants and single variables on */
+ A[size][i] = -1 * LLE_DENOMINATOR (expression);
+ a[size] *= -1;
+ for (j = 0; j < invariants; j++)
+ B[size][j] *= -1;
+
+ size++;
+ /* Need to increase matrix sizes above. */
+ if (size > 127)
+ abort ();
+ }
+
+ /* Then do the exact same thing for the upper bounds. */
+ if (LL_STEP (loop) > 0)
+ expression = LL_UPPER_BOUND (loop);
+ else
+ expression = LL_LOWER_BOUND (loop);
+
+ for (; expression != NULL; expression = LLE_NEXT (expression))
+ {
+ /* Fill in the coefficient. */
+ for (j = 0; j < i; j++)
+ A[size][j] = LLE_COEFFICIENTS (expression)[j];
+
+ /* And the invariant coefficient. */
+ for (j = 0; j < invariants; j++)
+ B[size][j] = LLE_INVARIANT_COEFFICIENTS (expression)[j];
+
+ /* And the constant. */
+ a[size] = LLE_CONSTANT (expression);
+
+ /* Convert z <= (2x+3y+2+b)/4 to -2x-3y+4z <= 2+b. */
+ for (j = 0; j < i; j++)
+ A[size][j] *= -1;
+ A[size][i] = LLE_DENOMINATOR (expression);
+ size++;
+ /* Need to increase matrix sizes above. */
+ if (size > 127)
+ abort ();
+ }
+ }
+
+ /* Compute the lattice base x = base * y + origin, where y is the
+ base space. */
+ lattice = lambda_lattice_compute_base (nest);
+
+ /* Ax <= a + B then becomes ALy <= a+B - A*origin. L is the lattice base */
+
+ /* A1 = A * L */
+ lambda_matrix_mult (A, LATTICE_BASE (lattice), A1, size, depth, depth);
+
+ /* a1 = a - A * origin constant. */
+ lambda_matrix_vector_mult (A, size, depth, LATTICE_ORIGIN (lattice), a1);
+ lambda_vector_add_mc (a, 1, a1, -1, a1, size);
+
+ /* B1 = B - A * origin invariant. */
+ lambda_matrix_mult (A, LATTICE_ORIGIN_INVARIANTS (lattice), B1, size, depth,
+ invariants);
+ lambda_matrix_add_mc (B, 1, B1, -1, B1, size, invariants);
+
+ /* Now compute the auxiliary space bounds by first inverting U, multiplying
+ it by A1, then performing fourier motzkin. */
+
+ invertedtrans = lambda_matrix_new (depth, depth);
+
+ /* Compute the inverse of U. */
+ determinant = lambda_matrix_inverse (LTM_MATRIX (trans),
+ invertedtrans, depth);
+
+ /* A = A1 inv(U). */
+ lambda_matrix_mult (A1, invertedtrans, A, size, depth, depth);
+
+ /* Perform Fourier-Motzkin elimination to calculate the bounds of the
+ auxillary nest.
+ Fourier-Motzkin is a way of reducing systems of linear inequality so that
+ it is easy to calculate the answer and bounds.
+ A sketch of how it works:
+ Given a system of linear inequalities, ai * xj >= bk, you can always
+ rewrite the constraints so they are all of the form
+ a <= x, or x <= b, or x >= constant for some x in x1 ... xj (and some b
+ in b1 ... bk, and some a in a1...ai)
+ You can then eliminate this x from the non-constant inequalities by
+ rewriting these as a <= b, x >= constant, and delete the x variable.
+ You can then repeat this for any remaining x variables, and then we have
+ an easy to use variable <= constant (or no variables at all) form that we
+ can construct our bounds from.
+
+ In our case, each time we eliminate, we construct part of the bound from
+ the ith variable, then delete the ith variable.
+
+ Remember the constant are in our vector a, our coefficient matrix is A,
+ and our invariant coefficient matrix is B */
+
+ /* Swap B and B1, and a1 and a */
+ temp0 = B1;
+ B1 = B;
+ B = temp0;
+
+ temp1 = a1;
+ a1 = a;
+ a = temp1;
+
+ auxillary_nest = lambda_loopnest_new (depth, invariants);
+
+ for (i = depth - 1; i >= 0; i--)
+ {
+ loop = lambda_loop_new ();
+ LN_LOOPS (auxillary_nest)[i] = loop;
+ LL_STEP (loop) = 1;
+
+ for (j = 0; j < size; j++)
+ {
+ if (A[j][i] < 0)
+ {
+ /* Lower bound. */
+ expression = lambda_linear_expression_new (depth, invariants);
+
+ for (k = 0; k < i; k++)
+ LLE_COEFFICIENTS (expression)[k] = A[j][k];
+ for (k = 0; k < invariants; k++)
+ LLE_INVARIANT_COEFFICIENTS (expression)[k] = -1 * B[j][k];
+ LLE_DENOMINATOR (expression) = -1 * A[j][i];
+ LLE_CONSTANT (expression) = -1 * a[j];
+ /* Ignore if identical to the existing lower bound. */
+ if (!lle_equal (LL_LOWER_BOUND (loop),
+ expression, depth, invariants))
+ {
+ LLE_NEXT (expression) = LL_LOWER_BOUND (loop);
+ LL_LOWER_BOUND (loop) = expression;
+ }
+
+ }
+ else if (A[j][i] > 0)
+ {
+ /* Upper bound. */
+ expression = lambda_linear_expression_new (depth, invariants);
+ for (k = 0; k < i; k++)
+ LLE_COEFFICIENTS (expression)[k] = -1 * A[j][k];
+ LLE_CONSTANT (expression) = a[j];
+
+ for (k = 0; k < invariants; k++)
+ LLE_INVARIANT_COEFFICIENTS (expression)[k] = B[j][k];
+
+ LLE_DENOMINATOR (expression) = A[j][i];
+ /* Ignore if identical to the existing upper bound. */
+ if (!lle_equal (LL_UPPER_BOUND (loop),
+ expression, depth, invariants))
+ {
+ LLE_NEXT (expression) = LL_UPPER_BOUND (loop);
+ LL_UPPER_BOUND (loop) = expression;
+ }
+
+ }
+ }
+ /* creates a new system by deleting the i'th variable. */
+ newsize = 0;
+ for (j = 0; j < size; j++)
+ {
+ if (A[j][i] == 0)
+ {
+ lambda_vector_copy (A[j], A1[newsize], depth);
+ lambda_vector_copy (B[j], B1[newsize], invariants);
+ a1[newsize] = a[j];
+ newsize++;
+ }
+ else if (A[j][i] > 0)
+ {
+ for (k = 0; k < size; k++)
+ {
+ if (A[k][i] < 0)
+ {
+ multiple = lcm (A[j][i], A[k][i]);
+ f1 = multiple / A[j][i];
+ f2 = -1 * multiple / A[k][i];
+
+ lambda_vector_add_mc (A[j], f1, A[k], f2,
+ A1[newsize], depth);
+ lambda_vector_add_mc (B[j], f1, B[k], f2,
+ B1[newsize], invariants);
+ a1[newsize] = f1 * a[j] + f2 * a[k];
+ newsize++;
+ }
+ }
+ }
+ }
+
+ temp0 = A;
+ A = A1;
+ A1 = temp0;
+
+ temp0 = B;
+ B = B1;
+ B1 = temp0;
+
+ temp1 = a;
+ a = a1;
+ a1 = temp1;
+
+ size = newsize;
+ }
+
+ return auxillary_nest;
+}
+
+/* Compute the loop bounds for the target space, using the bounds of
+ the auxillary nest AUXILLARY_NEST, and the triangular matrix H. This is
+ done by matrix multiplication and then transformation of the new matrix
+ back into linear expression form.
+ Return the target loopnest. */
+
+static lambda_loopnest
+lambda_compute_target_space (lambda_loopnest auxillary_nest,
+ lambda_trans_matrix H, lambda_vector stepsigns)
+{
+ lambda_matrix inverse, H1;
+ int determinant, i, j;
+ int gcd1, gcd2;
+ int factor;
+
+ lambda_loopnest target_nest;
+ int depth, invariants;
+ lambda_matrix target;
+
+ lambda_loop auxillary_loop, target_loop;
+ lambda_linear_expression expression, auxillary_expr, target_expr, tmp_expr;
+
+ depth = LN_DEPTH (auxillary_nest);
+ invariants = LN_INVARIANTS (auxillary_nest);
+
+ inverse = lambda_matrix_new (depth, depth);
+ determinant = lambda_matrix_inverse (LTM_MATRIX (H), inverse, depth);
+
+ /* H1 is H excluding its diagonal. */
+ H1 = lambda_matrix_new (depth, depth);
+ lambda_matrix_copy (LTM_MATRIX (H), H1, depth, depth);
+
+ for (i = 0; i < depth; i++)
+ H1[i][i] = 0;
+
+ /* Computes the linear offsets of the loop bounds. */
+ target = lambda_matrix_new (depth, depth);
+ lambda_matrix_mult (H1, inverse, target, depth, depth, depth);
+
+ target_nest = lambda_loopnest_new (depth, invariants);
+
+ for (i = 0; i < depth; i++)
+ {
+
+ /* Get a new loop structure. */
+ target_loop = lambda_loop_new ();
+ LN_LOOPS (target_nest)[i] = target_loop;
+
+ /* Computes the gcd of the coefficients of the linear part. */
+ gcd1 = gcd_vector (target[i], i);
+
+ /* Include the denominator in the GCD */
+ gcd1 = gcd (gcd1, determinant);
+
+ /* Now divide through by the gcd */
+ for (j = 0; j < i; j++)
+ target[i][j] = target[i][j] / gcd1;
+
+ expression = lambda_linear_expression_new (depth, invariants);
+ lambda_vector_copy (target[i], LLE_COEFFICIENTS (expression), depth);
+ LLE_DENOMINATOR (expression) = determinant / gcd1;
+ LLE_CONSTANT (expression) = 0;
+ lambda_vector_clear (LLE_INVARIANT_COEFFICIENTS (expression),
+ invariants);
+ LL_LINEAR_OFFSET (target_loop) = expression;
+ }
+
+ /* For each loop, compute the new bounds from H */
+ for (i = 0; i < depth; i++)
+ {
+ auxillary_loop = LN_LOOPS (auxillary_nest)[i];
+ target_loop = LN_LOOPS (target_nest)[i];
+ LL_STEP (target_loop) = LTM_MATRIX (H)[i][i];
+ factor = LTM_MATRIX (H)[i][i];
+
+ /* First we do the lower bound. */
+ auxillary_expr = LL_LOWER_BOUND (auxillary_loop);
+
+ for (; auxillary_expr != NULL;
+ auxillary_expr = LLE_NEXT (auxillary_expr))
+ {
+ target_expr = lambda_linear_expression_new (depth, invariants);
+ lambda_vector_matrix_mult (LLE_COEFFICIENTS (auxillary_expr),
+ depth, inverse, depth,
+ LLE_COEFFICIENTS (target_expr));
+ lambda_vector_mult_const (LLE_COEFFICIENTS (target_expr),
+ LLE_COEFFICIENTS (target_expr), depth,
+ factor);
+
+ LLE_CONSTANT (target_expr) = LLE_CONSTANT (auxillary_expr) * factor;
+ lambda_vector_copy (LLE_INVARIANT_COEFFICIENTS (auxillary_expr),
+ LLE_INVARIANT_COEFFICIENTS (target_expr),
+ invariants);
+ lambda_vector_mult_const (LLE_INVARIANT_COEFFICIENTS (target_expr),
+ LLE_INVARIANT_COEFFICIENTS (target_expr),
+ invariants, factor);
+ LLE_DENOMINATOR (target_expr) = LLE_DENOMINATOR (auxillary_expr);
+
+ if (!lambda_vector_zerop (LLE_COEFFICIENTS (target_expr), depth))
+ {
+ LLE_CONSTANT (target_expr) = LLE_CONSTANT (target_expr)
+ * determinant;
+ lambda_vector_mult_const (LLE_INVARIANT_COEFFICIENTS
+ (target_expr),
+ LLE_INVARIANT_COEFFICIENTS
+ (target_expr), invariants,
+ determinant);
+ LLE_DENOMINATOR (target_expr) =
+ LLE_DENOMINATOR (target_expr) * determinant;
+ }
+ /* Find the gcd and divide by it here, rather than doing it
+ at the tree level. */
+ gcd1 = gcd_vector (LLE_COEFFICIENTS (target_expr), depth);
+ gcd2 = gcd_vector (LLE_INVARIANT_COEFFICIENTS (target_expr),
+ invariants);
+ gcd1 = gcd (gcd1, gcd2);
+ gcd1 = gcd (gcd1, LLE_CONSTANT (target_expr));
+ gcd1 = gcd (gcd1, LLE_DENOMINATOR (target_expr));
+ for (j = 0; j < depth; j++)
+ LLE_COEFFICIENTS (target_expr)[j] /= gcd1;
+ for (j = 0; j < invariants; j++)
+ LLE_INVARIANT_COEFFICIENTS (target_expr)[j] /= gcd1;
+ LLE_CONSTANT (target_expr) /= gcd1;
+ LLE_DENOMINATOR (target_expr) /= gcd1;
+ /* Ignore if identical to existing bound. */
+ if (!lle_equal (LL_LOWER_BOUND (target_loop), target_expr, depth,
+ invariants))
+ {
+ LLE_NEXT (target_expr) = LL_LOWER_BOUND (target_loop);
+ LL_LOWER_BOUND (target_loop) = target_expr;
+ }
+ }
+ /* Now do the upper bound. */
+ auxillary_expr = LL_UPPER_BOUND (auxillary_loop);
+
+ for (; auxillary_expr != NULL;
+ auxillary_expr = LLE_NEXT (auxillary_expr))
+ {
+ target_expr = lambda_linear_expression_new (depth, invariants);
+ lambda_vector_matrix_mult (LLE_COEFFICIENTS (auxillary_expr),
+ depth, inverse, depth,
+ LLE_COEFFICIENTS (target_expr));
+ lambda_vector_mult_const (LLE_COEFFICIENTS (target_expr),
+ LLE_COEFFICIENTS (target_expr), depth,
+ factor);
+ LLE_CONSTANT (target_expr) = LLE_CONSTANT (auxillary_expr) * factor;
+ lambda_vector_copy (LLE_INVARIANT_COEFFICIENTS (auxillary_expr),
+ LLE_INVARIANT_COEFFICIENTS (target_expr),
+ invariants);
+ lambda_vector_mult_const (LLE_INVARIANT_COEFFICIENTS (target_expr),
+ LLE_INVARIANT_COEFFICIENTS (target_expr),
+ invariants, factor);
+ LLE_DENOMINATOR (target_expr) = LLE_DENOMINATOR (auxillary_expr);
+
+ if (!lambda_vector_zerop (LLE_COEFFICIENTS (target_expr), depth))
+ {
+ LLE_CONSTANT (target_expr) = LLE_CONSTANT (target_expr)
+ * determinant;
+ lambda_vector_mult_const (LLE_INVARIANT_COEFFICIENTS
+ (target_expr),
+ LLE_INVARIANT_COEFFICIENTS
+ (target_expr), invariants,
+ determinant);
+ LLE_DENOMINATOR (target_expr) =
+ LLE_DENOMINATOR (target_expr) * determinant;
+ }
+ /* Find the gcd and divide by it here, instead of at the
+ tree level. */
+ gcd1 = gcd_vector (LLE_COEFFICIENTS (target_expr), depth);
+ gcd2 = gcd_vector (LLE_INVARIANT_COEFFICIENTS (target_expr),
+ invariants);
+ gcd1 = gcd (gcd1, gcd2);
+ gcd1 = gcd (gcd1, LLE_CONSTANT (target_expr));
+ gcd1 = gcd (gcd1, LLE_DENOMINATOR (target_expr));
+ for (j = 0; j < depth; j++)
+ LLE_COEFFICIENTS (target_expr)[j] /= gcd1;
+ for (j = 0; j < invariants; j++)
+ LLE_INVARIANT_COEFFICIENTS (target_expr)[j] /= gcd1;
+ LLE_CONSTANT (target_expr) /= gcd1;
+ LLE_DENOMINATOR (target_expr) /= gcd1;
+ /* Ignore if equal to existing bound. */
+ if (!lle_equal (LL_UPPER_BOUND (target_loop), target_expr, depth,
+ invariants))
+ {
+ LLE_NEXT (target_expr) = LL_UPPER_BOUND (target_loop);
+ LL_UPPER_BOUND (target_loop) = target_expr;
+ }
+ }
+ }
+ for (i = 0; i < depth; i++)
+ {
+ target_loop = LN_LOOPS (target_nest)[i];
+ /* If necessary, exchange the upper and lower bounds and negate
+ the step size. */
+ if (stepsigns[i] < 0)
+ {
+ LL_STEP (target_loop) *= -1;
+ tmp_expr = LL_LOWER_BOUND (target_loop);
+ LL_LOWER_BOUND (target_loop) = LL_UPPER_BOUND (target_loop);
+ LL_UPPER_BOUND (target_loop) = tmp_expr;
+ }
+ }
+ return target_nest;
+}
+
+/* Compute the step signs of TRANS, using TRANS and stepsigns. Return the new
+ result. */
+
+static lambda_vector
+lambda_compute_step_signs (lambda_trans_matrix trans, lambda_vector stepsigns)
+{
+ lambda_matrix matrix, H;
+ int size;
+ lambda_vector newsteps;
+ int i, j, factor, minimum_column;
+ int temp;
+
+ matrix = LTM_MATRIX (trans);
+ size = LTM_ROWSIZE (trans);
+ H = lambda_matrix_new (size, size);
+
+ newsteps = lambda_vector_new (size);
+ lambda_vector_copy (stepsigns, newsteps, size);
+
+ lambda_matrix_copy (matrix, H, size, size);
+
+ for (j = 0; j < size; j++)
+ {
+ lambda_vector row;
+ row = H[j];
+ for (i = j; i < size; i++)
+ if (row[i] < 0)
+ lambda_matrix_col_negate (H, size, i);
+ while (lambda_vector_first_nz (row, size, j + 1) < size)
+ {
+ minimum_column = lambda_vector_min_nz (row, size, j);
+ lambda_matrix_col_exchange (H, size, j, minimum_column);
+
+ temp = newsteps[j];
+ newsteps[j] = newsteps[minimum_column];
+ newsteps[minimum_column] = temp;
+
+ for (i = j + 1; i < size; i++)
+ {
+ factor = row[i] / row[j];
+ lambda_matrix_col_add (H, size, j, i, -1 * factor);
+ }
+ }
+ }
+ return newsteps;
+}
+
+/* Transform NEST according to TRANS, and return the new loopnest.
+ This involves
+ 1. Computing a lattice base for the transformation
+ 2. Composing the dense base with the specified transformation (TRANS)
+ 3. Decomposing the combined transformation into a lower triangular portion,
+ and a unimodular portion.
+ 4. Computing the auxillary nest using the unimodular portion.
+ 5. Computing the target nest using the auxillary nest and the lower
+ triangular portion. */
+
+lambda_loopnest
+lambda_loopnest_transform (lambda_loopnest nest, lambda_trans_matrix trans)
+{
+ lambda_loopnest auxillary_nest, target_nest;
+
+ int depth, invariants;
+ int i, j;
+ lambda_lattice lattice;
+ lambda_trans_matrix trans1, H, U;
+ lambda_loop loop;
+ lambda_linear_expression expression;
+ lambda_vector origin;
+ lambda_matrix origin_invariants;
+ lambda_vector stepsigns;
+ int f;
+
+ depth = LN_DEPTH (nest);
+ invariants = LN_INVARIANTS (nest);
+
+ /* Keep track of the signs of the loop steps. */
+ stepsigns = lambda_vector_new (depth);
+ for (i = 0; i < depth; i++)
+ {
+ if (LL_STEP (LN_LOOPS (nest)[i]) > 0)
+ stepsigns[i] = 1;
+ else
+ stepsigns[i] = -1;
+ }
+
+ /* Compute the lattice base. */
+ lattice = lambda_lattice_compute_base (nest);
+ trans1 = lambda_trans_matrix_new (depth, depth);
+
+ /* Multiply the transformation matrix by the lattice base. */
+
+ lambda_matrix_mult (LTM_MATRIX (trans), LATTICE_BASE (lattice),
+ LTM_MATRIX (trans1), depth, depth, depth);
+
+ /* Compute the Hermite normal form for the new transformation matrix. */
+ H = lambda_trans_matrix_new (depth, depth);
+ U = lambda_trans_matrix_new (depth, depth);
+ lambda_matrix_hermite (LTM_MATRIX (trans1), depth, LTM_MATRIX (H),
+ LTM_MATRIX (U));
+
+ /* Compute the auxiliary loop nest's space from the unimodular
+ portion. */
+ auxillary_nest = lambda_compute_auxillary_space (nest, U);
+
+ /* Compute the loop step signs from the old step signs and the
+ transformation matrix. */
+ stepsigns = lambda_compute_step_signs (trans1, stepsigns);
+
+ /* Compute the target loop nest space from the auxiliary nest and
+ the lower triangular matrix H. */
+ target_nest = lambda_compute_target_space (auxillary_nest, H, stepsigns);
+ origin = lambda_vector_new (depth);
+ origin_invariants = lambda_matrix_new (depth, invariants);
+ lambda_matrix_vector_mult (LTM_MATRIX (trans), depth, depth,
+ LATTICE_ORIGIN (lattice), origin);
+ lambda_matrix_mult (LTM_MATRIX (trans), LATTICE_ORIGIN_INVARIANTS (lattice),
+ origin_invariants, depth, depth, invariants);
+
+ for (i = 0; i < depth; i++)
+ {
+ loop = LN_LOOPS (target_nest)[i];
+ expression = LL_LINEAR_OFFSET (loop);
+ if (lambda_vector_zerop (LLE_COEFFICIENTS (expression), depth))
+ f = 1;
+ else
+ f = LLE_DENOMINATOR (expression);
+
+ LLE_CONSTANT (expression) += f * origin[i];
+
+ for (j = 0; j < invariants; j++)
+ LLE_INVARIANT_COEFFICIENTS (expression)[j] +=
+ f * origin_invariants[i][j];
+ }
+
+ return target_nest;
+
+}
+
+/* Convert a gcc tree expression EXPR to a lambda linear expression, and
+ return the new expression. DEPTH is the depth of the loopnest.
+ OUTERINDUCTIONVARS is an array of the induction variables for outer loops
+ in this nest. INVARIANTS is the array of invariants for the loop. EXTRA
+ is the amount we have to add/subtract from the expression because of the
+ type of comparison it is used in. */
+
+static lambda_linear_expression
+gcc_tree_to_linear_expression (int depth, tree expr,
+ VEC(tree) *outerinductionvars,
+ VEC(tree) *invariants, int extra)
+{
+ lambda_linear_expression lle = NULL;
+ switch (TREE_CODE (expr))
+ {
+ case INTEGER_CST:
+ {
+ lle = lambda_linear_expression_new (depth, 2 * depth);
+ LLE_CONSTANT (lle) = TREE_INT_CST_LOW (expr);
+ if (extra != 0)
+ LLE_CONSTANT (lle) = extra;
+
+ LLE_DENOMINATOR (lle) = 1;
+ }
+ break;
+ case SSA_NAME:
+ {
+ tree iv, invar;
+ size_t i;
+ for (i = 0; VEC_iterate (tree, outerinductionvars, i, iv); i++)
+ if (iv != NULL)
+ {
+ if (SSA_NAME_VAR (iv) == SSA_NAME_VAR (expr))
+ {
+ lle = lambda_linear_expression_new (depth, 2 * depth);
+ LLE_COEFFICIENTS (lle)[i] = 1;
+ if (extra != 0)
+ LLE_CONSTANT (lle) = extra;
+
+ LLE_DENOMINATOR (lle) = 1;
+ }
+ }
+ for (i = 0; VEC_iterate (tree, invariants, i, invar); i++)
+ if (invar != NULL)
+ {
+ if (SSA_NAME_VAR (invar) == SSA_NAME_VAR (expr))
+ {
+ lle = lambda_linear_expression_new (depth, 2 * depth);
+ LLE_INVARIANT_COEFFICIENTS (lle)[i] = 1;
+ if (extra != 0)
+ LLE_CONSTANT (lle) = extra;
+ LLE_DENOMINATOR (lle) = 1;
+ }
+ }
+ }
+ break;
+ default:
+ return NULL;
+ }
+
+ return lle;
+}
+
+/* Return true if OP is invariant in LOOP and all outer loops. */
+
+static bool
+invariant_in_loop (struct loop *loop, tree op)
+{
+ if (loop->depth == 0)
+ return true;
+ if (TREE_CODE (op) == SSA_NAME)
+ {
+ if (TREE_CODE (SSA_NAME_VAR (op)) == PARM_DECL
+ && IS_EMPTY_STMT (SSA_NAME_DEF_STMT (op)))
+ return true;
+ if (IS_EMPTY_STMT (SSA_NAME_DEF_STMT (op)))
+ return false;
+ if (loop->outer)
+ if (!invariant_in_loop (loop->outer, op))
+ return false;
+ return !flow_bb_inside_loop_p (loop,
+ bb_for_stmt (SSA_NAME_DEF_STMT (op)));
+ }
+ return false;
+}
+
+/* Generate a lambda loop from a gcc loop LOOP. Return the new lambda loop,
+ or NULL if it could not be converted.
+ DEPTH is the depth of the loop.
+ INVARIANTS is a pointer to the array of loop invariants.
+ The induction variable for this loop should be stored in the parameter
+ OURINDUCTIONVAR.
+ OUTERINDUCTIONVARS is an array of induction variables for outer loops. */
+
+static lambda_loop
+gcc_loop_to_lambda_loop (struct loop *loop, int depth,
+ VEC (tree) ** invariants,
+ tree * ourinductionvar,
+ VEC (tree) * outerinductionvars)
+{
+ tree phi;
+ tree exit_cond;
+ tree access_fn, inductionvar;
+ tree step;
+ lambda_loop lloop = NULL;
+ lambda_linear_expression lbound, ubound;
+ tree test;
+ int stepint;
+ int extra = 0;
+
+ use_optype uses;
+
+ /* Find out induction var and set the pointer so that the caller can
+ append it to the outerinductionvars array later. */
+
+ inductionvar = find_induction_var_from_exit_cond (loop);
+ *ourinductionvar = inductionvar;
+
+ exit_cond = get_loop_exit_condition (loop);
+
+ if (inductionvar == NULL || exit_cond == NULL)
+ {
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ fprintf (dump_file,
+ "Unable to convert loop: Cannot determine exit condition or induction variable for loop.\n");
+ return NULL;
+ }
+
+ test = TREE_OPERAND (exit_cond, 0);
+ if (TREE_CODE (test) != LE_EXPR
+ && TREE_CODE (test) != LT_EXPR && TREE_CODE (test) != NE_EXPR)
+ {
+
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ {
+ fprintf (dump_file,
+ "Unable to convert loop: Loop exit test uses unhandled test condition:");
+ print_generic_stmt (dump_file, test, 0);
+ fprintf (dump_file, "\n");
+ }
+ return NULL;
+ }
+ if (SSA_NAME_DEF_STMT (inductionvar) == NULL_TREE)
+ {
+
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ fprintf (dump_file,
+ "Unable to convert loop: Cannot find PHI node for induction variable\n");
+
+ return NULL;
+ }
+
+ phi = SSA_NAME_DEF_STMT (inductionvar);
+ if (TREE_CODE (phi) != PHI_NODE)
+ {
+ get_stmt_operands (phi);
+ uses = STMT_USE_OPS (phi);
+
+ if (!uses)
+ {
+
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ fprintf (dump_file,
+ "Unable to convert loop: Cannot find PHI node for induction variable\n");
+
+ return NULL;
+ }
+
+ phi = USE_OP (uses, 0);
+ phi = SSA_NAME_DEF_STMT (phi);
+ if (TREE_CODE (phi) != PHI_NODE)
+ {
+
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ fprintf (dump_file,
+ "Unable to convert loop: Cannot find PHI node for induction variable\n");
+ return NULL;
+ }
+
+ }
+
+ access_fn = instantiate_parameters
+ (loop, analyze_scalar_evolution (loop, PHI_RESULT (phi)));
+ if (!access_fn)
+ {
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ fprintf (dump_file,
+ "Unable to convert loop: Access function for induction variable phi is NULL\n");
+
+ return NULL;
+ }
+
+ step = evolution_part_in_loop_num (access_fn, loop->num);
+ if (!step || step == chrec_dont_know)
+ {
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ fprintf (dump_file,
+ "Unable to convert loop: Cannot determine step of loop.\n");
+
+ return NULL;
+ }
+ if (TREE_CODE (step) != INTEGER_CST)
+ {
+
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ fprintf (dump_file,
+ "Unable to convert loop: Step of loop is not integer.\n");
+ return NULL;
+ }
+
+ stepint = TREE_INT_CST_LOW (step);
+
+ /* Only want phis for induction vars, which will have two
+ arguments. */
+ if (PHI_NUM_ARGS (phi) != 2)
+ {
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ fprintf (dump_file,
+ "Unable to convert loop: PHI node for induction variable has >2 arguments\n");
+ return NULL;
+ }
+
+ /* Another induction variable check. One argument's source should be
+ in the loop, one outside the loop. */
+ if (flow_bb_inside_loop_p (loop, PHI_ARG_EDGE (phi, 0)->src)
+ && flow_bb_inside_loop_p (loop, PHI_ARG_EDGE (phi, 1)->src))
+ {
+
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ fprintf (dump_file,
+ "Unable to convert loop: PHI edges both inside loop, or both outside loop.\n");
+
+ return NULL;
+ }
+
+ if (flow_bb_inside_loop_p (loop, PHI_ARG_EDGE (phi, 0)->src))
+
+ lbound = gcc_tree_to_linear_expression (depth, PHI_ARG_DEF (phi, 1),
+ outerinductionvars, *invariants,
+ 0);
+ else
+ lbound = gcc_tree_to_linear_expression (depth, PHI_ARG_DEF (phi, 0),
+ outerinductionvars, *invariants,
+ 0);
+ if (!lbound)
+ {
+
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ fprintf (dump_file,
+ "Unable to convert loop: Cannot convert lower bound to linear expression\n");
+
+ return NULL;
+ }
+ if (TREE_CODE (TREE_OPERAND (test, 1)) == SSA_NAME)
+ if (invariant_in_loop (loop, TREE_OPERAND (test, 1)))
+ VEC_safe_push (tree, *invariants, TREE_OPERAND (test, 1));
+
+ /* We only size the vectors assuming we have, at max, 2 times as many
+ invariants as we do loops (one for each bound).
+ This is just an arbitrary number, but it has to be matched against the
+ code below. */
+ if (VEC_length (tree, *invariants) > (unsigned int) (2 * depth))
+ abort ();
+
+ /* We might have some leftover. */
+ if (TREE_CODE (test) == LT_EXPR)
+ extra = -1 * stepint;
+ else if (TREE_CODE (test) == NE_EXPR)
+ extra = -1 * stepint;
+
+ ubound = gcc_tree_to_linear_expression (depth,
+ TREE_OPERAND (test, 1),
+ outerinductionvars,
+ *invariants, extra);
+ if (!ubound)
+ {
+
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ fprintf (dump_file,
+ "Unable to convert loop: Cannot convert upper bound to linear expression\n");
+ return NULL;
+ }
+
+ lloop = lambda_loop_new ();
+ LL_STEP (lloop) = stepint;
+ LL_LOWER_BOUND (lloop) = lbound;
+ LL_UPPER_BOUND (lloop) = ubound;
+ return lloop;
+}
+
+/* Given a LOOP, find the induction variable it is testing against in the exit
+ condition. Return the induction variable if found, NULL otherwise. */
+
+static tree
+find_induction_var_from_exit_cond (struct loop *loop)
+{
+ tree expr = get_loop_exit_condition (loop);
+ tree test;
+ if (expr == NULL_TREE)
+ return NULL_TREE;
+ if (TREE_CODE (expr) != COND_EXPR)
+ return NULL_TREE;
+ test = TREE_OPERAND (expr, 0);
+ if (TREE_CODE_CLASS (TREE_CODE (test)) != '<')
+ return NULL_TREE;
+ if (TREE_CODE (TREE_OPERAND (test, 0)) != SSA_NAME)
+ return NULL_TREE;
+ return TREE_OPERAND (test, 0);
+}
+
+DEF_VEC_P(lambda_loop);
+/* Generate a lambda loopnest from a gcc loopnest LOOP_NEST.
+ Return the new loop nest.
+ INDUCTIONVARS is a pointer to an array of induction variables for the
+ loopnest that will be filled in during this process.
+ INVARIANTS is a pointer to an array of invariants that will be filled in
+ during this process. */
+
+lambda_loopnest
+gcc_loopnest_to_lambda_loopnest (struct loop * loop_nest,
+ VEC (tree) **inductionvars,
+ VEC (tree) **invariants)
+{
+ lambda_loopnest ret;
+ struct loop *temp;
+ int depth = 0;
+ size_t i;
+ VEC (lambda_loop) *loops;
+ lambda_loop newloop;
+ tree inductionvar = NULL;
+
+ temp = loop_nest;
+ while (temp)
+ {
+ depth++;
+ temp = temp->inner;
+ }
+ loops = VEC_alloc (lambda_loop, 1);
+ *inductionvars = VEC_alloc (tree, 1);
+ *invariants = VEC_alloc (tree, 1);
+ temp = loop_nest;
+ while (temp)
+ {
+ newloop = gcc_loop_to_lambda_loop (temp, depth, invariants,
+ &inductionvar, *inductionvars);
+ if (!newloop)
+ return NULL;
+ VEC_safe_push (tree, *inductionvars, inductionvar);
+ VEC_safe_push (lambda_loop, loops, newloop);
+ temp = temp->inner;
+ }
+
+ ret = lambda_loopnest_new (depth, 2 * depth);
+ for (i = 0; VEC_iterate (lambda_loop, loops, i, newloop); i++)
+ LN_LOOPS (ret)[i] = newloop;
+
+ return ret;
+
+}
+
+/* Convert a lambda body vector LBV to a gcc tree, and return the new tree.
+ STMTS_TO_INSERT is a pointer to a tree where the statements we need to be
+ inserted for us are stored. INDUCTION_VARS is the array of induction
+ variables for the loop this LBV is from. */
+
+static tree
+lbv_to_gcc_expression (lambda_body_vector lbv,
+ VEC (tree) *induction_vars, tree * stmts_to_insert)
+{
+ tree stmts, stmt, resvar, name;
+ size_t i;
+ tree_stmt_iterator tsi;
+
+ /* Create a statement list and a linear expression temporary. */
+ stmts = alloc_stmt_list ();
+ resvar = create_tmp_var (integer_type_node, "lletmp");
+ add_referenced_tmp_var (resvar);
+
+ /* Start at 0. */
+ stmt = build (MODIFY_EXPR, void_type_node, resvar, integer_zero_node);
+ name = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = name;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+
+ for (i = 0; i < VEC_length (tree ,induction_vars) ; i++)
+ {
+ if (LBV_COEFFICIENTS (lbv)[i] != 0)
+ {
+ tree newname;
+
+ /* newname = coefficient * induction_variable */
+ stmt = build (MODIFY_EXPR, void_type_node, resvar,
+ fold (build (MULT_EXPR, integer_type_node,
+ VEC_index (tree, induction_vars, i),
+ build_int_cst (integer_type_node,
+ LBV_COEFFICIENTS (lbv)[i]))));
+ newname = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = newname;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+ /* name = name + newname */
+ stmt = build (MODIFY_EXPR, void_type_node, resvar,
+ build (PLUS_EXPR, integer_type_node, name, newname));
+ name = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = name;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+ }
+ }
+
+ /* Handle any denominator that occurs. */
+ if (LBV_DENOMINATOR (lbv) != 1)
+ {
+ stmt = build (MODIFY_EXPR, void_type_node, resvar,
+ build (CEIL_DIV_EXPR, integer_type_node,
+ name, build_int_cst (integer_type_node,
+ LBV_DENOMINATOR (lbv))));
+ name = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = name;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+ }
+ *stmts_to_insert = stmts;
+ return name;
+}
+
+/* Convert a linear expression from coefficient and constant form to a
+ gcc tree.
+ Return the tree that represents the final value of the expression.
+ LLE is the linear expression to convert.
+ OFFSET is the linear offset to apply to the expression.
+ INDUCTION_VARS is a vector of induction variables for the loops.
+ INVARIANTS is a vector of the loop nest invariants.
+ WRAP specifies what tree code to wrap the results in, if there is more than
+ one (it is either MAX_EXPR, or MIN_EXPR).
+ STMTS_TO_INSERT Is a pointer to the statement list we fill in with
+ statements that need to be inserted for the linear expression. */
+
+static tree
+lle_to_gcc_expression (lambda_linear_expression lle,
+ lambda_linear_expression offset,
+ VEC(tree) *induction_vars,
+ VEC(tree) *invariants,
+ enum tree_code wrap, tree * stmts_to_insert)
+{
+ tree stmts, stmt, resvar, name;
+ size_t i;
+ tree_stmt_iterator tsi;
+ VEC(tree) *results;
+
+ name = NULL_TREE;
+ /* Create a statement list and a linear expression temporary. */
+ stmts = alloc_stmt_list ();
+ resvar = create_tmp_var (integer_type_node, "lletmp");
+ add_referenced_tmp_var (resvar);
+ results = VEC_alloc (tree, 1);
+
+ /* Build up the linear expressions, and put the variable representing the
+ result in the results array. */
+ for (; lle != NULL; lle = LLE_NEXT (lle))
+ {
+ /* Start at name = 0. */
+ stmt = build (MODIFY_EXPR, void_type_node, resvar, integer_zero_node);
+ name = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = name;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+
+ /* First do the induction variables.
+ at the end, name = name + all the induction variables added
+ together. */
+ for (i = 0; i < VEC_length (tree ,induction_vars); i++)
+ {
+ if (LLE_COEFFICIENTS (lle)[i] != 0)
+ {
+ tree newname;
+ tree mult;
+ tree coeff;
+
+ /* mult = induction variable * coefficient. */
+ if (LLE_COEFFICIENTS (lle)[i] == 1)
+ {
+ mult = VEC_index (tree, induction_vars, i);
+ }
+ else
+ {
+ coeff = build_int_cst (integer_type_node,
+ LLE_COEFFICIENTS (lle)[i]);
+ mult = fold (build (MULT_EXPR, integer_type_node,
+ VEC_index (tree, induction_vars, i),
+ coeff));
+ }
+
+ /* newname = mult */
+ stmt = build (MODIFY_EXPR, void_type_node, resvar, mult);
+ newname = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = newname;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+
+ /* name = name + newname */
+ stmt = build (MODIFY_EXPR, void_type_node, resvar,
+ build (PLUS_EXPR, integer_type_node,
+ name, newname));
+ name = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = name;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+ }
+ }
+
+ /* Handle our invariants.
+ At the end, we have name = name + result of adding all multiplied
+ invariants. */
+ for (i = 0; i < VEC_length (tree, invariants); i++)
+ {
+ if (LLE_INVARIANT_COEFFICIENTS (lle)[i] != 0)
+ {
+ tree newname;
+ tree mult;
+ tree coeff;
+
+ /* mult = invariant * coefficient */
+ if (LLE_INVARIANT_COEFFICIENTS (lle)[i] == 1)
+ {
+ mult = VEC_index (tree, invariants, i);
+ }
+ else
+ {
+ coeff = build_int_cst (integer_type_node,
+ LLE_INVARIANT_COEFFICIENTS (lle)[i]);
+ mult = fold (build (MULT_EXPR, integer_type_node,
+ VEC_index (tree, invariants, i),
+ coeff));
+ }
+
+ /* newname = mult */
+ stmt = build (MODIFY_EXPR, void_type_node, resvar, mult);
+ newname = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = newname;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+
+ /* name = name + newname */
+ stmt = build (MODIFY_EXPR, void_type_node, resvar,
+ build (PLUS_EXPR, integer_type_node,
+ name, newname));
+ name = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = name;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+ }
+ }
+
+ /* Now handle the constant.
+ name = name + constant. */
+ if (LLE_CONSTANT (lle) != 0)
+ {
+ stmt = build (MODIFY_EXPR, void_type_node, resvar,
+ build (PLUS_EXPR, integer_type_node,
+ name, build_int_cst (integer_type_node,
+ LLE_CONSTANT (lle))));
+ name = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = name;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+ }
+
+ /* Now handle the offset.
+ name = name + linear offset. */
+ if (LLE_CONSTANT (offset) != 0)
+ {
+ stmt = build (MODIFY_EXPR, void_type_node, resvar,
+ build (PLUS_EXPR, integer_type_node,
+ name, build_int_cst (integer_type_node,
+ LLE_CONSTANT (offset))));
+ name = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = name;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+ }
+
+ /* Handle any denominator that occurs. */
+ if (LLE_DENOMINATOR (lle) != 1)
+ {
+ if (wrap == MAX_EXPR)
+ stmt = build (MODIFY_EXPR, void_type_node, resvar,
+ build (CEIL_DIV_EXPR, integer_type_node,
+ name, build_int_cst (integer_type_node,
+ LLE_DENOMINATOR (lle))));
+ else if (wrap == MIN_EXPR)
+ stmt = build (MODIFY_EXPR, void_type_node, resvar,
+ build (FLOOR_DIV_EXPR, integer_type_node,
+ name, build_int_cst (integer_type_node,
+ LLE_DENOMINATOR (lle))));
+ else
+ abort ();
+
+ /* name = {ceil, floor}(name/denominator) */
+ name = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = name;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+ }
+ VEC_safe_push (tree, results, name);
+ }
+
+ /* Again, out of laziness, we don't handle this case yet. It's not
+ hard, it just hasn't occurred. */
+ if (VEC_length (tree, results) > 2)
+ abort ();
+
+ /* We may need to wrap the results in a MAX_EXPR or MIN_EXPR. */
+ if (VEC_length (tree, results) > 1)
+ {
+ tree op1 = VEC_index (tree, results, 0);
+ tree op2 = VEC_index (tree, results, 1);
+ stmt = build (MODIFY_EXPR, void_type_node, resvar,
+ build (wrap, integer_type_node, op1, op2));
+ name = make_ssa_name (resvar, stmt);
+ TREE_OPERAND (stmt, 0) = name;
+ tsi = tsi_last (stmts);
+ tsi_link_after (&tsi, stmt, TSI_CONTINUE_LINKING);
+ }
+
+ *stmts_to_insert = stmts;
+ return name;
+}
+
+/* Transform a lambda loopnest NEW_LOOPNEST, which had TRANSFORM applied to
+ it, back into gcc code. This changes the
+ loops, their induction variables, and their bodies, so that they
+ match the transformed loopnest.
+ OLD_LOOPNEST is the loopnest before we've replaced it with the new
+ loopnest.
+ OLD_IVS is a vector of induction variables from the old loopnest.
+ INVARIANTS is a vector of loop invariants from the old loopnest.
+ NEW_LOOPNEST is the new lambda loopnest to replace OLD_LOOPNEST with.
+ TRANSFORM is the matrix transform that was applied to OLD_LOOPNEST to get
+ NEW_LOOPNEST. */
+void
+lambda_loopnest_to_gcc_loopnest (struct loop *old_loopnest,
+ VEC(tree) *old_ivs,
+ VEC(tree) *invariants,
+ lambda_loopnest new_loopnest,
+ lambda_trans_matrix transform)
+{
+
+ struct loop *temp;
+ size_t i = 0;
+ size_t depth = 0;
+ VEC(tree) *new_ivs;
+ block_stmt_iterator bsi;
+ basic_block *bbs;
+
+ if (dump_file)
+ {
+ transform = lambda_trans_matrix_inverse (transform);
+ fprintf (dump_file, "Inverse of transformation matrix:\n");
+ print_lambda_trans_matrix (dump_file, transform);
+ }
+ temp = old_loopnest;
+ new_ivs = VEC_alloc (tree, 1);
+ while (temp)
+ {
+ temp = temp->inner;
+ depth++;
+ }
+ temp = old_loopnest;
+
+ while (temp)
+ {
+ lambda_loop newloop;
+ basic_block bb;
+ tree ivvar, ivvarinced, exitcond, stmts;
+ enum tree_code testtype;
+ tree newupperbound, newlowerbound;
+ lambda_linear_expression offset;
+ /* First, build the new induction variable temporary */
+
+ ivvar = create_tmp_var (integer_type_node, "lnivtmp");
+ add_referenced_tmp_var (ivvar);
+
+ VEC_safe_push (tree, new_ivs, ivvar);
+
+ newloop = LN_LOOPS (new_loopnest)[i];
+
+ /* Linear offset is a bit tricky to handle. Punt on the unhandled
+ cases for now. */
+ offset = LL_LINEAR_OFFSET (newloop);
+
+ if (LLE_DENOMINATOR (offset) != 1
+ || !lambda_vector_zerop (LLE_COEFFICIENTS (offset), depth))
+ abort ();
+
+ /* Now build the new lower bounds, and insert the statements
+ necessary to generate it on the loop preheader. */
+ newlowerbound = lle_to_gcc_expression (LL_LOWER_BOUND (newloop),
+ LL_LINEAR_OFFSET (newloop),
+ new_ivs,
+ invariants, MAX_EXPR, &stmts);
+ bsi_insert_on_edge (loop_preheader_edge (temp), stmts);
+ bsi_commit_edge_inserts (NULL);
+ /* Build the new upper bound and insert its statements in the
+ basic block of the exit condition */
+ newupperbound = lle_to_gcc_expression (LL_UPPER_BOUND (newloop),
+ LL_LINEAR_OFFSET (newloop),
+ new_ivs,
+ invariants, MIN_EXPR, &stmts);
+ exitcond = get_loop_exit_condition (temp);
+ bb = bb_for_stmt (exitcond);
+ bsi = bsi_start (bb);
+ bsi_insert_after (&bsi, stmts, BSI_NEW_STMT);
+
+ /* Create the new iv, and insert it's increment on the latch
+ block. */
+
+ bb = temp->latch->pred->src;
+ bsi = bsi_last (bb);
+ create_iv (newlowerbound,
+ build_int_cst (integer_type_node, LL_STEP (newloop)),
+ ivvar, temp, &bsi, false, &ivvar,
+ &ivvarinced);
+
+ /* Replace the exit condition with the new upper bound
+ comparison. */
+ testtype = LL_STEP (newloop) >= 0 ? LE_EXPR : GE_EXPR;
+ COND_EXPR_COND (exitcond) = build (testtype,
+ boolean_type_node,
+ ivvarinced, newupperbound);
+ modify_stmt (exitcond);
+ VEC_replace (tree, new_ivs, i, ivvar);
+
+ i++;
+ temp = temp->inner;
+ }
+
+ /* Go through the loop and make iv replacements. */
+ bbs = get_loop_body (old_loopnest);
+ for (i = 0; i < old_loopnest->num_nodes; i++)
+ for (bsi = bsi_start (bbs[i]); !bsi_end_p (bsi); bsi_next (&bsi))
+ {
+ tree stmt = bsi_stmt (bsi);
+ use_optype uses;
+ size_t j;
+
+ get_stmt_operands (stmt);
+ uses = STMT_USE_OPS (stmt);
+ for (j = 0; j < NUM_USES (uses); j++)
+ {
+ size_t k;
+ use_operand_p use = USE_OP_PTR (uses, j);
+ for (k = 0; k < VEC_length (tree, old_ivs); k++)
+ {
+ tree oldiv = VEC_index (tree, old_ivs, k);
+ if (USE_FROM_PTR (use) == oldiv)
+ {
+ tree newiv, stmts;
+ lambda_body_vector lbv;
+
+ /* Compute the new expression for the induction
+ variable. */
+ depth = VEC_length (tree, new_ivs);
+ lbv = lambda_body_vector_new (depth);
+ LBV_COEFFICIENTS (lbv)[k] = 1;
+ lbv = lambda_body_vector_compute_new (transform, lbv);
+ newiv = lbv_to_gcc_expression (lbv, new_ivs, &stmts);
+
+ /* Insert the statements to build that
+ expression. */
+ bsi_insert_before (&bsi, stmts, BSI_SAME_STMT);
+
+ /* Replace the use with the result of that
+ expression. */
+ if (dump_file)
+ {
+ fprintf (dump_file,
+ "Replacing induction variable use of ");
+ print_generic_stmt (dump_file, USE_FROM_PTR (use), 0);
+ fprintf (dump_file, " with ");
+ print_generic_stmt (dump_file, newiv, 0);
+ fprintf (dump_file, "\n");
+ }
+ SET_USE (use, newiv);
+ }
+ }
+
+ }
+ }
+}
+
+/* Returns true when the vector V is lexicographically positive, in
+ other words, when the first non zero element is positive. */
+
+static bool
+lambda_vector_lexico_pos (lambda_vector v, unsigned n)
+{
+ unsigned i;
+ for (i = 0; i < n; i++)
+ {
+ if (v[i] == 0)
+ continue;
+ if (v[i] < 0)
+ return false;
+ if (v[i] > 0)
+ return true;
+ }
+ return true;
+}
+
+/* Return true if TRANS is a legal transformation matrix that respects
+ the dependence vectors in DISTS and DIRS. The conservative answer
+ is false.
+
+ "Wolfe proves that a unimodular transformation represented by the
+ matrix T is legal when applied to a loop nest with a set of
+ lexicographically non-negative distance vectors RDG if and only if
+ for each vector d in RDG, (T.d >= 0) is lexicographically positive.
+ ie.: if and only if it transforms the lexicographically positive
+ distance vectors to lexicographically positive vectors. Note that
+ a unimodular matrix must transform the zero vector (and only it) to
+ the zero vector." S.Muchnick. */
+
+bool
+lambda_transform_legal_p (lambda_trans_matrix trans,
+ int nb_loops, varray_type dependence_relations)
+{
+ unsigned int i;
+ lambda_vector distres;
+ struct data_dependence_relation *ddr;
+
+#if defined ENABLE_CHECKING
+ if (LTM_COLSIZE (trans) != nb_loops || LTM_ROWSIZE (trans) != nb_loops)
+ abort ();
+#endif
+
+ /* When there is an unknown relation in the dependence_relations, we
+ know that it is no worth looking at this loop nest: give up. */
+ ddr = (struct data_dependence_relation *)
+ VARRAY_GENERIC_PTR (dependence_relations, 0);
+ if (ddr == NULL)
+ return true;
+ if (DDR_ARE_DEPENDENT (ddr) == chrec_dont_know)
+ return false;
+
+ distres = lambda_vector_new (nb_loops);
+
+ /* For each distance vector in the dependence graph. */
+ for (i = 0; i < VARRAY_ACTIVE_SIZE (dependence_relations); i++)
+ {
+ ddr = (struct data_dependence_relation *)
+ VARRAY_GENERIC_PTR (dependence_relations, i);
+
+ /* Don't care about relations for which we know that there is no
+ dependence, nor about read-read (aka. output-dependences):
+ these data accesses can happen in any order. */
+ if (DDR_ARE_DEPENDENT (ddr) == chrec_known
+ || (DR_IS_READ (DDR_A (ddr)) && DR_IS_READ (DDR_B (ddr))))
+ continue;
+ /* Conservatively answer: "this transformation is not valid". */
+ if (DDR_ARE_DEPENDENT (ddr) == chrec_dont_know)
+ return false;
+
+ /* Compute trans.dist_vect */
+ lambda_matrix_vector_mult (LTM_MATRIX (trans), nb_loops, nb_loops,
+ DDR_DIST_VECT (ddr), distres);
+
+ if (!lambda_vector_lexico_pos (distres, nb_loops))
+ return false;
+ }
+
+ return true;
+}
#include "tree-pass.h"
#include "lambda.h"
-static unsigned int data_ref_id = 0;
-
\f
/* This is the simplest data dependence test: determines whether the
data references A and B access the same array/region. If can't determine -
{
unsigned int i;
- fprintf (outf, "(Data Ref %d: \n stmt: ", DR_ID (dr));
+ fprintf (outf, "(Data Ref: \n stmt: ");
print_generic_stmt (outf, DR_STMT (dr), 0);
fprintf (outf, " ref: ");
print_generic_stmt (outf, DR_REF (dr), 0);
drb = DDR_B (ddr);
if (dra && drb)
- fprintf (outf, "(Data Dep (A = %d, B = %d):", DR_ID (dra), DR_ID (drb));
+ fprintf (outf, "(Data Dep:");
else
fprintf (outf, "(Data Dep:");
fprintf (dump_file, ")\n");
}
- res = ggc_alloc (sizeof (struct data_reference));
+ res = xmalloc (sizeof (struct data_reference));
- DR_ID (res) = data_ref_id++;
DR_STMT (res) = stmt;
DR_REF (res) = ref;
VARRAY_TREE_INIT (DR_ACCESS_FNS (res), 3, "access_fns");
fprintf (dump_file, ")\n");
}
- res = ggc_alloc (sizeof (struct data_reference));
+ res = xmalloc (sizeof (struct data_reference));
- DR_ID (res) = data_ref_id++;
DR_STMT (res) = stmt;
DR_REF (res) = ref;
VARRAY_TREE_INIT (DR_ACCESS_FNS (res), 5, "access_fns");
struct data_dependence_relation *res;
bool differ_p;
- res = ggc_alloc (sizeof (struct data_dependence_relation));
+ res = xmalloc (sizeof (struct data_dependence_relation));
DDR_A (res) = a;
DDR_B (res) = b;
{
struct subscript *subscript;
- subscript = ggc_alloc (sizeof (struct subscript));
+ subscript = xmalloc (sizeof (struct subscript));
SUB_CONFLICTS_IN_A (subscript) = chrec_dont_know;
SUB_CONFLICTS_IN_B (subscript) = chrec_dont_know;
SUB_LAST_CONFLICT_IN_A (subscript) = chrec_dont_know;
SUB_LAST_CONFLICT_IN_B (subscript) = chrec_dont_know;
SUB_DISTANCE (subscript) = chrec_dont_know;
- SUB_DIRECTION (subscript) = dir_star;
VARRAY_PUSH_GENERIC_PTR (DDR_SUBSCRIPTS (res), subscript);
}
}
finalize_ddr_dependent (struct data_dependence_relation *ddr,
tree chrec)
{
+ if (dump_file && (dump_flags & TDF_DETAILS))
+ {
+ fprintf (dump_file, "(dependence classified: ");
+ print_generic_expr (dump_file, chrec, 0);
+ fprintf (dump_file, ")\n");
+ }
+
DDR_ARE_DEPENDENT (ddr) = chrec;
varray_clear (DDR_SUBSCRIPTS (ddr));
}
/* Compute the classic per loop distance vector.
- RES is the data dependence relation to build a vector from.
- CLASSIC_DIST is the varray to place the vector in.
+ DDR is the data dependence relation to build a vector from.
NB_LOOPS is the total number of loops we are considering.
FIRST_LOOP is the loop->num of the first loop. */
static void
-build_classic_dist_vector (struct data_dependence_relation *res,
- varray_type *classic_dist,
+build_classic_dist_vector (struct data_dependence_relation *ddr,
int nb_loops, unsigned int first_loop)
{
unsigned i;
lambda_vector_clear (dist_v, nb_loops);
lambda_vector_clear (init_v, nb_loops);
- if (DDR_ARE_DEPENDENT (res) != NULL_TREE)
+ if (DDR_ARE_DEPENDENT (ddr) != NULL_TREE)
return;
- for (i = 0; i < DDR_NUM_SUBSCRIPTS (res); i++)
+ for (i = 0; i < DDR_NUM_SUBSCRIPTS (ddr); i++)
{
- struct subscript *subscript = DDR_SUBSCRIPT (res, i);
+ struct subscript *subscript = DDR_SUBSCRIPT (ddr, i);
if (chrec_contains_undetermined (SUB_DISTANCE (subscript)))
return;
if (init_v[loop_nb] != 0
&& dist_v[loop_nb] != dist)
{
- finalize_ddr_dependent (res, chrec_known);
+ finalize_ddr_dependent (ddr, chrec_known);
return;
}
*/
{
struct loop *lca, *loop_a, *loop_b;
- struct data_reference *a = DDR_A (res);
- struct data_reference *b = DDR_B (res);
+ struct data_reference *a = DDR_A (ddr);
+ struct data_reference *b = DDR_B (ddr);
int lca_nb;
loop_a = loop_containing_stmt (DR_STMT (a));
loop_b = loop_containing_stmt (DR_STMT (b));
}
}
- VARRAY_PUSH_GENERIC_PTR (*classic_dist, dist_v);
+ DDR_DIST_VECT (ddr) = dist_v;
}
/* Compute the classic per loop direction vector.
- RES is the data dependence relation to build a vector from.
- CLASSIC_DIR is the varray to place the vector in.
+ DDR is the data dependence relation to build a vector from.
NB_LOOPS is the total number of loops we are considering.
FIRST_LOOP is the loop->num of the first loop. */
static void
-build_classic_dir_vector (struct data_dependence_relation *res,
- varray_type *classic_dir,
+build_classic_dir_vector (struct data_dependence_relation *ddr,
int nb_loops, unsigned int first_loop)
{
unsigned i;
lambda_vector_clear (dir_v, nb_loops);
lambda_vector_clear (init_v, nb_loops);
- if (DDR_ARE_DEPENDENT (res) != NULL_TREE)
+ if (DDR_ARE_DEPENDENT (ddr) != NULL_TREE)
return;
- for (i = 0; i < DDR_NUM_SUBSCRIPTS (res); i++)
+ for (i = 0; i < DDR_NUM_SUBSCRIPTS (ddr); i++)
{
- struct subscript *subscript = DDR_SUBSCRIPT (res, i);
+ struct subscript *subscript = DDR_SUBSCRIPT (ddr, i);
if (TREE_CODE (SUB_CONFLICTS_IN_A (subscript)) == POLYNOMIAL_CHREC
&& TREE_CODE (SUB_CONFLICTS_IN_B (subscript)) == POLYNOMIAL_CHREC)
&& (enum data_dependence_direction) dir_v[loop_nb] != dir
&& (enum data_dependence_direction) dir_v[loop_nb] != dir_star)
{
- finalize_ddr_dependent (res, chrec_known);
+ finalize_ddr_dependent (ddr, chrec_known);
return;
}
*/
{
struct loop *lca, *loop_a, *loop_b;
- struct data_reference *a = DDR_A (res);
- struct data_reference *b = DDR_B (res);
+ struct data_reference *a = DDR_A (ddr);
+ struct data_reference *b = DDR_B (ddr);
int lca_nb;
loop_a = loop_containing_stmt (DR_STMT (a));
loop_b = loop_containing_stmt (DR_STMT (b));
}
}
- VARRAY_PUSH_GENERIC_PTR (*classic_dir, dir_v);
+ DDR_DIR_VECT (ddr) = dir_v;
}
/* Returns true when all the access functions of A are affine or
if (dump_file && (dump_flags & TDF_DETAILS))
{
- fprintf (dump_file, "(compute_affine_dependence (%d, %d)\n",
- DR_ID (dra), DR_ID (drb));
+ fprintf (dump_file, "(compute_affine_dependence\n");
fprintf (dump_file, " (stmt_a = \n");
print_generic_expr (dump_file, DR_STMT (dra), 0);
fprintf (dump_file, ")\n (stmt_b = \n");
in DEPENDENCE_RELATIONS. */
static void
-compute_rw_wr_ww_dependences (varray_type datarefs,
- varray_type *dependence_relations)
+compute_all_dependences (varray_type datarefs,
+ varray_type *dependence_relations)
{
unsigned int i, j, N;
a = VARRAY_GENERIC_PTR (datarefs, i);
b = VARRAY_GENERIC_PTR (datarefs, j);
- /* Don't compute the "read-read" relations. */
- if (DR_IS_READ (a) && DR_IS_READ (b))
- continue;
-
ddr = initialize_data_dependence_relation (a, b);
VARRAY_PUSH_GENERIC_PTR (*dependence_relations, ddr);
/* Given a loop nest LOOP, the following vectors are returned:
*DATAREFS is initialized to all the array elements contained in this loop,
- *DEPENDENCE_RELATIONS contains the relations between the data references,
- *CLASSIC_DIST contains the set of distance vectors,
- *CLASSIC_DIR contains the set of direction vectors. */
+ *DEPENDENCE_RELATIONS contains the relations between the data references. */
void
compute_data_dependences_for_loop (unsigned nb_loops,
struct loop *loop,
varray_type *datarefs,
- varray_type *dependence_relations,
- varray_type *classic_dist,
- varray_type *classic_dir)
+ varray_type *dependence_relations)
{
unsigned int i;
chrec_dont_know. */
ddr = initialize_data_dependence_relation (NULL, NULL);
VARRAY_PUSH_GENERIC_PTR (*dependence_relations, ddr);
- build_classic_dist_vector (ddr, classic_dist, nb_loops, loop->num);
- build_classic_dir_vector (ddr, classic_dir, nb_loops, loop->num);
+ build_classic_dist_vector (ddr, nb_loops, loop->num);
+ build_classic_dir_vector (ddr, nb_loops, loop->num);
return;
}
- compute_rw_wr_ww_dependences (*datarefs, dependence_relations);
+ compute_all_dependences (*datarefs, dependence_relations);
for (i = 0; i < VARRAY_ACTIVE_SIZE (*dependence_relations); i++)
{
struct data_dependence_relation *ddr;
ddr = VARRAY_GENERIC_PTR (*dependence_relations, i);
- build_classic_dist_vector (ddr, classic_dist, nb_loops, loop->num);
- build_classic_dir_vector (ddr, classic_dir, nb_loops, loop->num);
+ build_classic_dist_vector (ddr, nb_loops, loop->num);
+ build_classic_dir_vector (ddr, nb_loops, loop->num);
}
}
unsigned int i;
varray_type datarefs;
varray_type dependence_relations;
- varray_type classic_dist, classic_dir;
int nb_data_refs = 10;
- VARRAY_GENERIC_PTR_INIT (classic_dist, 10, "classic_dist");
- VARRAY_GENERIC_PTR_INIT (classic_dir, 10, "classic_dir");
VARRAY_GENERIC_PTR_INIT (datarefs, nb_data_refs, "datarefs");
VARRAY_GENERIC_PTR_INIT (dependence_relations,
nb_data_refs * nb_data_refs,
/* Compute DDs on the whole function. */
compute_data_dependences_for_loop (loops->num, loops->parray[0],
- &datarefs, &dependence_relations,
- &classic_dist, &classic_dir);
+ &datarefs, &dependence_relations);
if (dump_file)
{
testsuite. */
if (dump_file && (dump_flags & TDF_DETAILS))
{
- for (i = 0; i < VARRAY_ACTIVE_SIZE (classic_dist); i++)
- {
- fprintf (dump_file, "DISTANCE_V (");
- print_lambda_vector (dump_file,
- VARRAY_GENERIC_PTR (classic_dist, i),
- loops->num);
- fprintf (dump_file, ")\n");
- }
- for (i = 0; i < VARRAY_ACTIVE_SIZE (classic_dir); i++)
+ for (i = 0; i < VARRAY_ACTIVE_SIZE (dependence_relations); i++)
{
- fprintf (dump_file, "DIRECTION_V (");
- print_lambda_vector (dump_file,
- VARRAY_GENERIC_PTR (classic_dir, i),
- loops->num);
- fprintf (dump_file, ")\n");
+ struct data_dependence_relation *ddr =
+ (struct data_dependence_relation *)
+ VARRAY_GENERIC_PTR (dependence_relations, i);
+ if (DDR_ARE_DEPENDENT (ddr) == NULL_TREE)
+ {
+ fprintf (dump_file, "DISTANCE_V (");
+ print_lambda_vector (dump_file, DDR_DIST_VECT (ddr), loops->num);
+ fprintf (dump_file, ")\n");
+ fprintf (dump_file, "DIRECTION_V (");
+ print_lambda_vector (dump_file, DDR_DIR_VECT (ddr), loops->num);
+ fprintf (dump_file, ")\n");
+ }
}
fprintf (dump_file, "\n\n");
}
nb_chrec_relations++;
}
- fprintf (dump_file, "\n(\n");
- fprintf (dump_file, "%d\tnb_top_relations\n", nb_top_relations);
- fprintf (dump_file, "%d\tnb_bot_relations\n", nb_bot_relations);
- fprintf (dump_file, "%d\tnb_basename_differ\n", nb_basename_differ);
- fprintf (dump_file, "%d\tnb_distance_relations\n", (int) VARRAY_ACTIVE_SIZE (classic_dist));
- fprintf (dump_file, "%d\tnb_chrec_relations\n", nb_chrec_relations);
- fprintf (dump_file, "\n)\n");
-
gather_stats_on_scev_database ();
}
-
+
+ free_dependence_relations (dependence_relations);
+ free_data_refs (datarefs);
+}
+
+/* Free the memory used by a data dependence relation DDR. */
+
+void
+free_dependence_relation (struct data_dependence_relation *ddr)
+{
+ if (ddr == NULL)
+ return;
+
+ if (DDR_ARE_DEPENDENT (ddr) == NULL_TREE && DDR_SUBSCRIPTS (ddr))
+ varray_clear (DDR_SUBSCRIPTS (ddr));
+ free (ddr);
+}
+
+/* Free the memory used by the data dependence relations from
+ DEPENDENCE_RELATIONS. */
+
+void
+free_dependence_relations (varray_type dependence_relations)
+{
+ unsigned int i;
+ if (dependence_relations == NULL)
+ return;
+
+ for (i = 0; i < VARRAY_ACTIVE_SIZE (dependence_relations); i++)
+ free_dependence_relation (VARRAY_GENERIC_PTR (dependence_relations, i));
varray_clear (dependence_relations);
- varray_clear (datarefs);
- varray_clear (classic_dist);
- varray_clear (classic_dir);
}
+/* Free the memory used by the data references from DATAREFS. */
+
+void
+free_data_refs (varray_type datarefs)
+{
+ unsigned int i;
+
+ if (datarefs == NULL)
+ return;
+ for (i = 0; i < VARRAY_ACTIVE_SIZE (datarefs); i++)
+ {
+ struct data_reference *dr = (struct data_reference *)
+ VARRAY_GENERIC_PTR (datarefs, i);
+ if (dr && DR_ACCESS_FNS (dr))
+ varray_clear (DR_ACCESS_FNS (dr));
+ }
+ varray_clear (datarefs);
+}
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