static ppl_Constraint_t
cloog_matrix_to_ppl_constraint (CloogMatrix *matrix, int row)
{
int j;
ppl_Constraint_t cstr;
ppl_Coefficient_t coef;
ppl_Linear_Expression_t expr;
ppl_dimension_type dim = matrix->NbColumns - 2;
ppl_new_Coefficient (&coef);
ppl_new_Linear_Expression_with_dimension (&expr, dim);
for (j = 1; j < matrix->NbColumns - 1; j++)
{
ppl_assign_Coefficient_from_mpz_t (coef, matrix->p[row][j]);
ppl_Linear_Expression_add_to_coefficient (expr, j - 1, coef);
}
ppl_assign_Coefficient_from_mpz_t (coef,
matrix->p[row][matrix->NbColumns - 1]);
ppl_Linear_Expression_add_to_inhomogeneous (expr, coef);
ppl_delete_Coefficient (coef);
if (value_zero_p (matrix->p[row][0]))
ppl_new_Constraint (&cstr, expr, PPL_CONSTRAINT_TYPE_EQUAL);
else
ppl_new_Constraint (&cstr, expr, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
ppl_delete_Linear_Expression (expr);
return cstr;
}
void
open_hypercube(int dimension, ppl_Polyhedron_t ph) {
int i;
mpz_t z_one;
mpz_t z_minus_one;
ppl_Coefficient_t coeff_one;
ppl_Coefficient_t coeff_minus_one;
ppl_Linear_Expression_t le;
ppl_Constraint_t c;
ppl_Constraint_System_t cs;
mpz_init_set_si(z_one, 1);
mpz_init_set_si(z_minus_one, -1);
ppl_new_Coefficient(&coeff_one);
ppl_assign_Coefficient_from_mpz_t(coeff_one, z_one);
ppl_new_Coefficient(&coeff_minus_one);
ppl_assign_Coefficient_from_mpz_t(coeff_minus_one, z_minus_one);
ppl_new_Linear_Expression_with_dimension(&le, dimension);
ppl_new_Constraint_System(&cs);
for (i = 0; i < dimension; ++i) {
ppl_Linear_Expression_add_to_coefficient(le, i, coeff_one);
/* Variable(i) > 0 */
ppl_new_Constraint(&c, le, PPL_CONSTRAINT_TYPE_GREATER_THAN);
ppl_Constraint_System_insert_Constraint(cs, c);
ppl_delete_Constraint(c);
/* Variable(i) < 1 */
ppl_Linear_Expression_add_to_inhomogeneous(le, coeff_minus_one);
ppl_new_Constraint(&c, le, PPL_CONSTRAINT_TYPE_LESS_THAN);
ppl_Constraint_System_insert_Constraint(cs, c);
ppl_delete_Constraint(c);
/* Zero `le' */
ppl_Linear_Expression_add_to_coefficient(le, i, coeff_minus_one);
ppl_Linear_Expression_add_to_inhomogeneous(le, coeff_one);
}
ppl_Polyhedron_add_constraints(ph, cs);
ppl_delete_Constraint_System(cs);
ppl_delete_Linear_Expression(le);
ppl_delete_Coefficient(coeff_minus_one);
ppl_delete_Coefficient(coeff_one);
mpz_clear(z_minus_one);
mpz_clear(z_one);
}
void
ppl_print_linear_expr (FILE *file, ppl_Linear_Expression_t le)
{
ppl_Constraint_t c;
ppl_Polyhedron_t pol;
ppl_dimension_type dim;
ppl_Linear_Expression_space_dimension (le, &dim);
ppl_new_C_Polyhedron_from_space_dimension (&pol, dim, 0);
ppl_new_Constraint (&c, le, PPL_CONSTRAINT_TYPE_EQUAL);
ppl_Polyhedron_add_constraint (pol, c);
ppl_print_polyhedron_matrix (file, pol);
}
static ppl_Pointset_Powerset_C_Polyhedron_t
dr_equality_constraints (graphite_dim_t dim,
graphite_dim_t pos, graphite_dim_t nb_subscripts)
{
ppl_Polyhedron_t subscript_equalities;
ppl_Pointset_Powerset_C_Polyhedron_t res;
Value v, v_op;
graphite_dim_t i;
value_init (v);
value_init (v_op);
value_set_si (v, 1);
value_set_si (v_op, -1);
ppl_new_C_Polyhedron_from_space_dimension (&subscript_equalities, dim, 0);
for (i = 0; i < nb_subscripts; i++)
{
ppl_Linear_Expression_t expr;
ppl_Constraint_t cstr;
ppl_Coefficient_t coef;
ppl_new_Coefficient (&coef);
ppl_new_Linear_Expression_with_dimension (&expr, dim);
ppl_assign_Coefficient_from_mpz_t (coef, v);
ppl_Linear_Expression_add_to_coefficient (expr, pos + i, coef);
ppl_assign_Coefficient_from_mpz_t (coef, v_op);
ppl_Linear_Expression_add_to_coefficient (expr, pos + i + nb_subscripts,
coef);
ppl_new_Constraint (&cstr, expr, PPL_CONSTRAINT_TYPE_EQUAL);
ppl_Polyhedron_add_constraint (subscript_equalities, cstr);
ppl_delete_Linear_Expression (expr);
ppl_delete_Constraint (cstr);
ppl_delete_Coefficient (coef);
}
ppl_new_Pointset_Powerset_C_Polyhedron_from_C_Polyhedron
(&res, subscript_equalities);
value_clear (v);
value_clear (v_op);
ppl_delete_Polyhedron (subscript_equalities);
return res;
}
static void
extend_scattering (poly_bb_p pbb, int max_scattering)
{
ppl_dimension_type nb_old_dims, nb_new_dims;
int nb_added_dims, i;
ppl_Coefficient_t coef;
Value one;
nb_added_dims = max_scattering - pbb_nb_scattering_transform (pbb);
value_init (one);
value_set_si (one, 1);
ppl_new_Coefficient (&coef);
ppl_assign_Coefficient_from_mpz_t (coef, one);
gcc_assert (nb_added_dims >= 0);
nb_old_dims = pbb_nb_scattering_transform (pbb) + pbb_dim_iter_domain (pbb)
+ scop_nb_params (PBB_SCOP (pbb));
nb_new_dims = nb_old_dims + nb_added_dims;
ppl_insert_dimensions (PBB_TRANSFORMED_SCATTERING (pbb),
pbb_nb_scattering_transform (pbb), nb_added_dims);
PBB_NB_SCATTERING_TRANSFORM (pbb) += nb_added_dims;
/* Add identity matrix for the added dimensions. */
for (i = max_scattering - nb_added_dims; i < max_scattering; i++)
{
ppl_Constraint_t cstr;
ppl_Linear_Expression_t expr;
ppl_new_Linear_Expression_with_dimension (&expr, nb_new_dims);
ppl_Linear_Expression_add_to_coefficient (expr, i, coef);
ppl_new_Constraint (&cstr, expr, PPL_CONSTRAINT_TYPE_EQUAL);
ppl_Polyhedron_add_constraint (PBB_TRANSFORMED_SCATTERING (pbb), cstr);
ppl_delete_Constraint (cstr);
ppl_delete_Linear_Expression (expr);
}
ppl_delete_Coefficient (coef);
value_clear (one);
}
static ppl_Constraint_t
build_pairwise_constraint (graphite_dim_t dim,
graphite_dim_t pos1, graphite_dim_t pos2,
int c, enum ppl_enum_Constraint_Type cstr_type)
{
ppl_Linear_Expression_t expr;
ppl_Constraint_t cstr;
ppl_Coefficient_t coef;
Value v, v_op, v_c;
value_init (v);
value_init (v_op);
value_init (v_c);
value_set_si (v, 1);
value_set_si (v_op, -1);
value_set_si (v_c, c);
ppl_new_Coefficient (&coef);
ppl_new_Linear_Expression_with_dimension (&expr, dim);
ppl_assign_Coefficient_from_mpz_t (coef, v);
ppl_Linear_Expression_add_to_coefficient (expr, pos1, coef);
ppl_assign_Coefficient_from_mpz_t (coef, v_op);
ppl_Linear_Expression_add_to_coefficient (expr, pos2, coef);
ppl_assign_Coefficient_from_mpz_t (coef, v_c);
ppl_Linear_Expression_add_to_inhomogeneous (expr, coef);
ppl_new_Constraint (&cstr, expr, cstr_type);
ppl_delete_Linear_Expression (expr);
ppl_delete_Coefficient (coef);
value_clear (v);
value_clear (v_op);
value_clear (v_c);
return cstr;
}
ppl_Constraint_t
ppl_build_relation (int dim, int pos1, int pos2, int c,
enum ppl_enum_Constraint_Type cstr_type)
{
ppl_Linear_Expression_t expr;
ppl_Constraint_t cstr;
ppl_Coefficient_t coef;
mpz_t v, v_op, v_c;
mpz_init (v);
mpz_init (v_op);
mpz_init (v_c);
mpz_set_si (v, 1);
mpz_set_si (v_op, -1);
mpz_set_si (v_c, c);
ppl_new_Coefficient (&coef);
ppl_new_Linear_Expression_with_dimension (&expr, dim);
ppl_assign_Coefficient_from_mpz_t (coef, v);
ppl_Linear_Expression_add_to_coefficient (expr, pos1, coef);
ppl_assign_Coefficient_from_mpz_t (coef, v_op);
ppl_Linear_Expression_add_to_coefficient (expr, pos2, coef);
ppl_assign_Coefficient_from_mpz_t (coef, v_c);
ppl_Linear_Expression_add_to_inhomogeneous (expr, coef);
ppl_new_Constraint (&cstr, expr, cstr_type);
ppl_delete_Linear_Expression (expr);
ppl_delete_Coefficient (coef);
mpz_clear (v);
mpz_clear (v_op);
mpz_clear (v_c);
return cstr;
}
static void
add_constraints(ppl_Linear_Expression_t ppl_le,
int type, mpq_t rational_lb, mpq_t rational_ub, mpz_t den_lcm,
ppl_Constraint_System_t ppl_cs) {
ppl_Constraint_t ppl_c;
ppl_Linear_Expression_t ppl_le2;
switch (type) {
case GLP_FR:
break;
case GLP_LO:
mpz_mul(tmp_z, den_lcm, mpq_numref(rational_lb));
mpz_divexact(tmp_z, tmp_z, mpq_denref(rational_lb));
mpz_neg(tmp_z, tmp_z);
ppl_assign_Coefficient_from_mpz_t(ppl_coeff, tmp_z);
ppl_Linear_Expression_add_to_inhomogeneous(ppl_le, ppl_coeff);
ppl_new_Constraint(&ppl_c, ppl_le, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
if (verbosity >= 4) {
ppl_io_fprint_Constraint(output_file, ppl_c);
fprintf(output_file, "\n");
}
ppl_Constraint_System_insert_Constraint(ppl_cs, ppl_c);
ppl_delete_Constraint(ppl_c);
break;
case GLP_UP:
mpz_mul(tmp_z, den_lcm, mpq_numref(rational_ub));
mpz_divexact(tmp_z, tmp_z, mpq_denref(rational_ub));
mpz_neg(tmp_z, tmp_z);
ppl_assign_Coefficient_from_mpz_t(ppl_coeff, tmp_z);
ppl_Linear_Expression_add_to_inhomogeneous(ppl_le, ppl_coeff);
ppl_new_Constraint(&ppl_c, ppl_le,
PPL_CONSTRAINT_TYPE_LESS_OR_EQUAL);
if (verbosity >= 4) {
ppl_io_fprint_Constraint(output_file, ppl_c);
fprintf(output_file, "\n");
}
ppl_Constraint_System_insert_Constraint(ppl_cs, ppl_c);
ppl_delete_Constraint(ppl_c);
break;
case GLP_DB:
ppl_new_Linear_Expression_from_Linear_Expression(&ppl_le2, ppl_le);
mpz_mul(tmp_z, den_lcm, mpq_numref(rational_lb));
mpz_divexact(tmp_z, tmp_z, mpq_denref(rational_lb));
mpz_neg(tmp_z, tmp_z);
ppl_assign_Coefficient_from_mpz_t(ppl_coeff, tmp_z);
ppl_Linear_Expression_add_to_inhomogeneous(ppl_le, ppl_coeff);
ppl_new_Constraint(&ppl_c, ppl_le, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
if (verbosity >= 4) {
ppl_io_fprint_Constraint(output_file, ppl_c);
fprintf(output_file, "\n");
}
ppl_Constraint_System_insert_Constraint(ppl_cs, ppl_c);
ppl_delete_Constraint(ppl_c);
mpz_mul(tmp_z, den_lcm, mpq_numref(rational_ub));
mpz_divexact(tmp_z, tmp_z, mpq_denref(rational_ub));
mpz_neg(tmp_z, tmp_z);
ppl_assign_Coefficient_from_mpz_t(ppl_coeff, tmp_z);
ppl_Linear_Expression_add_to_inhomogeneous(ppl_le2, ppl_coeff);
ppl_new_Constraint(&ppl_c, ppl_le2, PPL_CONSTRAINT_TYPE_LESS_OR_EQUAL);
ppl_delete_Linear_Expression(ppl_le2);
if (verbosity >= 4) {
ppl_io_fprint_Constraint(output_file, ppl_c);
fprintf(output_file, "\n");
}
ppl_Constraint_System_insert_Constraint(ppl_cs, ppl_c);
ppl_delete_Constraint(ppl_c);
break;
case GLP_FX:
mpz_mul(tmp_z, den_lcm, mpq_numref(rational_lb));
mpz_divexact(tmp_z, tmp_z, mpq_denref(rational_lb));
mpz_neg(tmp_z, tmp_z);
ppl_assign_Coefficient_from_mpz_t(ppl_coeff, tmp_z);
ppl_Linear_Expression_add_to_inhomogeneous(ppl_le, ppl_coeff);
ppl_new_Constraint(&ppl_c, ppl_le,
PPL_CONSTRAINT_TYPE_EQUAL);
if (verbosity >= 4) {
ppl_io_fprint_Constraint(output_file, ppl_c);
fprintf(output_file, "\n");
}
ppl_Constraint_System_insert_Constraint(ppl_cs, ppl_c);
ppl_delete_Constraint(ppl_c);
break;
default:
fatal("internal error");
break;
}
}
ppl_Polyhedron_t
ppl_strip_loop (ppl_Polyhedron_t ph, ppl_dimension_type loop, int stride)
{
ppl_const_Constraint_System_t pcs;
ppl_Constraint_System_const_iterator_t cit, end;
ppl_const_Constraint_t cstr;
ppl_Linear_Expression_t expr;
int v;
ppl_dimension_type dim;
ppl_Polyhedron_t res;
ppl_Coefficient_t c;
Value val;
value_init (val);
ppl_new_Coefficient (&c);
ppl_Polyhedron_space_dimension (ph, &dim);
ppl_Polyhedron_get_constraints (ph, &pcs);
/* Start from a copy of the constraints. */
ppl_new_C_Polyhedron_from_space_dimension (&res, dim + 1, 0);
ppl_Polyhedron_add_constraints (res, pcs);
/* Add an empty dimension for the strip loop. */
ppl_insert_dimensions (res, loop, 1);
/* Identify the constraints that define the lower and upper bounds
of the strip-mined loop, and add them to the strip loop. */
{
ppl_Polyhedron_t tmp;
ppl_new_C_Polyhedron_from_space_dimension (&tmp, dim + 1, 0);
ppl_new_Constraint_System_const_iterator (&cit);
ppl_new_Constraint_System_const_iterator (&end);
for (ppl_Constraint_System_begin (pcs, cit),
ppl_Constraint_System_end (pcs, end);
!ppl_Constraint_System_const_iterator_equal_test (cit, end);
ppl_Constraint_System_const_iterator_increment (cit))
{
ppl_Constraint_System_const_iterator_dereference (cit, &cstr);
ppl_new_Linear_Expression_from_Constraint (&expr, cstr);
ppl_Linear_Expression_coefficient (expr, loop, c);
ppl_delete_Linear_Expression (expr);
ppl_Coefficient_to_mpz_t (c, val);
v = value_get_si (val);
if (0 < v || v < 0)
ppl_Polyhedron_add_constraint (tmp, cstr);
}
ppl_delete_Constraint_System_const_iterator (cit);
ppl_delete_Constraint_System_const_iterator (end);
ppl_insert_dimensions (tmp, loop + 1, 1);
ppl_Polyhedron_get_constraints (tmp, &pcs);
ppl_Polyhedron_add_constraints (res, pcs);
ppl_delete_Polyhedron (tmp);
}
/* Lower bound of a tile starts at "stride * outer_iv". */
{
ppl_Constraint_t new_cstr;
ppl_new_Linear_Expression_with_dimension (&expr, dim + 1);
ppl_set_coef (expr, loop + 1, 1);
ppl_set_coef (expr, loop, -1 * stride);
ppl_new_Constraint (&new_cstr, expr, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
ppl_delete_Linear_Expression (expr);
ppl_Polyhedron_add_constraint (res, new_cstr);
ppl_delete_Constraint (new_cstr);
}
/* Upper bound of a tile stops at "stride * outer_iv + stride - 1",
or at the old upper bound that is not modified. */
{
ppl_Constraint_t new_cstr;
ppl_new_Linear_Expression_with_dimension (&expr, dim + 1);
ppl_set_coef (expr, loop + 1, -1);
ppl_set_coef (expr, loop, stride);
ppl_set_inhomogeneous (expr, stride - 1);
ppl_new_Constraint (&new_cstr, expr, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
ppl_delete_Linear_Expression (expr);
ppl_Polyhedron_add_constraint (res, new_cstr);
ppl_delete_Constraint (new_cstr);
}
value_clear (val);
ppl_delete_Coefficient (c);
return res;
}
static bool
pbb_strip_mine_time_depth (poly_bb_p pbb, int time_depth, int stride)
{
ppl_dimension_type iter, dim, strip;
ppl_Polyhedron_t res = PBB_TRANSFORMED_SCATTERING (pbb);
/* STRIP is the dimension that iterates with stride STRIDE. */
/* ITER is the dimension that enumerates single iterations inside
one strip that has at most STRIDE iterations. */
strip = time_depth;
iter = strip + 2;
psct_add_scattering_dimension (pbb, strip);
psct_add_scattering_dimension (pbb, strip + 1);
ppl_Polyhedron_space_dimension (res, &dim);
/* Lower bound of the striped loop. */
{
ppl_Constraint_t new_cstr;
ppl_Linear_Expression_t expr;
ppl_new_Linear_Expression_with_dimension (&expr, dim);
ppl_set_coef (expr, strip, -1 * stride);
ppl_set_coef (expr, iter, 1);
ppl_new_Constraint (&new_cstr, expr, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
ppl_delete_Linear_Expression (expr);
ppl_Polyhedron_add_constraint (res, new_cstr);
ppl_delete_Constraint (new_cstr);
}
/* Upper bound of the striped loop. */
{
ppl_Constraint_t new_cstr;
ppl_Linear_Expression_t expr;
ppl_new_Linear_Expression_with_dimension (&expr, dim);
ppl_set_coef (expr, strip, stride);
ppl_set_coef (expr, iter, -1);
ppl_set_inhomogeneous (expr, stride - 1);
ppl_new_Constraint (&new_cstr, expr, PPL_CONSTRAINT_TYPE_GREATER_OR_EQUAL);
ppl_delete_Linear_Expression (expr);
ppl_Polyhedron_add_constraint (res, new_cstr);
ppl_delete_Constraint (new_cstr);
}
/* Static scheduling for ITER level.
This is mandatory to keep the 2d + 1 canonical scheduling format. */
{
ppl_Constraint_t new_cstr;
ppl_Linear_Expression_t expr;
ppl_new_Linear_Expression_with_dimension (&expr, dim);
ppl_set_coef (expr, strip + 1, 1);
ppl_set_inhomogeneous (expr, 0);
ppl_new_Constraint (&new_cstr, expr, PPL_CONSTRAINT_TYPE_EQUAL);
ppl_delete_Linear_Expression (expr);
ppl_Polyhedron_add_constraint (res, new_cstr);
ppl_delete_Constraint (new_cstr);
}
return true;
}