1 files changed, 267 insertions, 0 deletions

diff --git a/polly/lib/External/isl/basis_reduction_tab.c b/polly/lib/External/isl/basis_reduction_tab.c
new file mode 100644
index 00000000000..112d423dbe0
--- /dev/null
+++ b/polly/lib/External/isl/basis_reduction_tab.c
@@ -0,0 +1,267 @@
+/*
+ * Copyright 2008-2009 Katholieke Universiteit Leuven
+ *
+ * Use of this software is governed by the MIT license
+ *
+ * Written by Sven Verdoolaege, K.U.Leuven, Departement
+ * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
+ */
+
+#include <assert.h>
+#include <isl_map_private.h>
+#include <isl_seq.h>
+#include "isl_tab.h"
+#include <isl_int.h>
+#include <isl_config.h>
+
+struct tab_lp {
+	struct isl_ctx  *ctx;
+	struct isl_vec  *row;
+	struct isl_tab  *tab;
+	struct isl_tab_undo	**stack;
+	isl_int		*obj;
+	isl_int		 opt;
+	isl_int		 opt_denom;
+	isl_int		 tmp;
+	isl_int		 tmp2;
+	int	         neq;
+	unsigned	 dim;
+	/* number of constraints in initial product tableau */
+	int		 con_offset;
+	/* objective function has fixed or no integer value */
+	int		 is_fixed;
+};
+
+#ifdef USE_GMP_FOR_MP
+#define GBR_type		    	    mpq_t
+#define GBR_init(v)		    	    mpq_init(v)
+#define GBR_clear(v)		    	    mpq_clear(v)
+#define GBR_set(a,b)			    mpq_set(a,b)
+#define GBR_set_ui(a,b)			    mpq_set_ui(a,b,1)
+#define GBR_mul(a,b,c)			    mpq_mul(a,b,c)
+#define GBR_lt(a,b)			    (mpq_cmp(a,b) < 0)
+#define GBR_is_zero(a)			    (mpq_sgn(a) == 0)
+#define GBR_numref(a)			    mpq_numref(a)
+#define GBR_denref(a)			    mpq_denref(a)
+#define GBR_floor(a,b)			    mpz_fdiv_q(a,GBR_numref(b),GBR_denref(b))
+#define GBR_ceil(a,b)			    mpz_cdiv_q(a,GBR_numref(b),GBR_denref(b))
+#endif /* USE_GMP_FOR_MP */
+
+#ifdef USE_IMATH_FOR_MP
+#include <imrat.h>
+
+#define GBR_type		    	    mp_rat
+#define GBR_init(v)		    	    v = mp_rat_alloc()
+#define GBR_clear(v)		    	    mp_rat_free(v)
+#define GBR_set(a,b)			    mp_rat_copy(b,a)
+#define GBR_set_ui(a,b)			    mp_rat_set_uvalue(a,b,1)
+#define GBR_mul(a,b,c)			    mp_rat_mul(b,c,a)
+#define GBR_lt(a,b)			    (mp_rat_compare(a,b) < 0)
+#define GBR_is_zero(a)			    (mp_rat_compare_zero(a) == 0)
+#define GBR_numref(a)			    mp_rat_numer_ref(a)
+#define GBR_denref(a)			    mp_rat_denom_ref(a)
+#define GBR_floor(a,b)			    impz_fdiv_q(a,GBR_numref(b),GBR_denref(b))
+#define GBR_ceil(a,b)			    impz_cdiv_q(a,GBR_numref(b),GBR_denref(b))
+#endif /* USE_IMATH_FOR_MP */
+
+static struct tab_lp *init_lp(struct isl_tab *tab);
+static void set_lp_obj(struct tab_lp *lp, isl_int *row, int dim);
+static int solve_lp(struct tab_lp *lp);
+static void get_obj_val(struct tab_lp* lp, GBR_type *F);
+static void delete_lp(struct tab_lp *lp);
+static int add_lp_row(struct tab_lp *lp, isl_int *row, int dim);
+static void get_alpha(struct tab_lp* lp, int row, GBR_type *alpha);
+static int del_lp_row(struct tab_lp *lp) WARN_UNUSED;
+static int cut_lp_to_hyperplane(struct tab_lp *lp, isl_int *row);
+
+#define GBR_LP			    	    struct tab_lp
+#define GBR_lp_init(P)		    	    init_lp(P)
+#define GBR_lp_set_obj(lp, obj, dim)	    set_lp_obj(lp, obj, dim)
+#define GBR_lp_solve(lp)		    solve_lp(lp)
+#define GBR_lp_get_obj_val(lp, F)	    get_obj_val(lp, F)
+#define GBR_lp_delete(lp)		    delete_lp(lp)
+#define GBR_lp_next_row(lp)		    lp->neq
+#define GBR_lp_add_row(lp, row, dim)	    add_lp_row(lp, row, dim)
+#define GBR_lp_get_alpha(lp, row, alpha)    get_alpha(lp, row, alpha)
+#define GBR_lp_del_row(lp)		    del_lp_row(lp)
+#define GBR_lp_is_fixed(lp)		    (lp)->is_fixed
+#define GBR_lp_cut(lp, obj)	    	    cut_lp_to_hyperplane(lp, obj)
+#include "basis_reduction_templ.c"
+
+/* Set up a tableau for the Cartesian product of bset with itself.
+ * This could be optimized by first setting up a tableau for bset
+ * and then performing the Cartesian product on the tableau.
+ */
+static struct isl_tab *gbr_tab(struct isl_tab *tab, struct isl_vec *row)
+{
+	unsigned dim;
+	struct isl_tab *prod;
+
+	if (!tab || !row)
+		return NULL;
+
+	dim = tab->n_var;
+	prod = isl_tab_product(tab, tab);
+	if (isl_tab_extend_cons(prod, 3 * dim + 1) < 0) {
+		isl_tab_free(prod);
+		return NULL;
+	}
+	return prod;
+}
+
+static struct tab_lp *init_lp(struct isl_tab *tab)
+{
+	struct tab_lp *lp = NULL;
+
+	if (!tab)
+		return NULL;
+
+	lp = isl_calloc_type(tab->mat->ctx, struct tab_lp);
+	if (!lp)
+		return NULL;
+
+	isl_int_init(lp->opt);
+	isl_int_init(lp->opt_denom);
+	isl_int_init(lp->tmp);
+	isl_int_init(lp->tmp2);
+
+	lp->dim = tab->n_var;
+
+	lp->ctx = tab->mat->ctx;
+	isl_ctx_ref(lp->ctx);
+
+	lp->stack = isl_alloc_array(lp->ctx, struct isl_tab_undo *, lp->dim);
+
+	lp->row = isl_vec_alloc(lp->ctx, 1 + 2 * lp->dim);
+	if (!lp->row)
+		goto error;
+	lp->tab = gbr_tab(tab, lp->row);
+	if (!lp->tab)
+		goto error;
+	lp->con_offset = lp->tab->n_con;
+	lp->obj = NULL;
+	lp->neq = 0;
+
+	return lp;
+error:
+	delete_lp(lp);
+	return NULL;
+}
+
+static void set_lp_obj(struct tab_lp *lp, isl_int *row, int dim)
+{
+	lp->obj = row;
+}
+
+static int solve_lp(struct tab_lp *lp)
+{
+	enum isl_lp_result res;
+	unsigned flags = 0;
+
+	lp->is_fixed = 0;
+
+	isl_int_set_si(lp->row->el[0], 0);
+	isl_seq_cpy(lp->row->el + 1, lp->obj, lp->dim);
+	isl_seq_neg(lp->row->el + 1 + lp->dim, lp->obj, lp->dim);
+	if (lp->neq)
+		flags = ISL_TAB_SAVE_DUAL;
+	res = isl_tab_min(lp->tab, lp->row->el, lp->ctx->one,
+			  &lp->opt, &lp->opt_denom, flags);
+	isl_int_mul_ui(lp->opt_denom, lp->opt_denom, 2);
+	if (isl_int_abs_lt(lp->opt, lp->opt_denom)) {
+		struct isl_vec *sample = isl_tab_get_sample_value(lp->tab);
+		if (!sample)
+			return -1;
+		isl_seq_inner_product(lp->obj, sample->el + 1, lp->dim, &lp->tmp);
+		isl_seq_inner_product(lp->obj, sample->el + 1 + lp->dim, lp->dim, &lp->tmp2);
+		isl_int_cdiv_q(lp->tmp, lp->tmp, sample->el[0]);
+		isl_int_fdiv_q(lp->tmp2, lp->tmp2, sample->el[0]);
+		if (isl_int_ge(lp->tmp, lp->tmp2))
+			lp->is_fixed = 1;
+		isl_vec_free(sample);
+	}
+	isl_int_divexact_ui(lp->opt_denom, lp->opt_denom, 2);
+	if (res != isl_lp_ok)
+		return -1;
+	return 0;
+}
+
+/* The current objective function has a fixed (or no) integer value.
+ * Cut the tableau to the hyperplane that fixes this value in
+ * both halves of the tableau.
+ * Return 1 if the resulting tableau is empty.
+ */
+static int cut_lp_to_hyperplane(struct tab_lp *lp, isl_int *row)
+{
+	enum isl_lp_result res;
+
+	isl_int_set_si(lp->row->el[0], 0);
+	isl_seq_cpy(lp->row->el + 1, row, lp->dim);
+	isl_seq_clr(lp->row->el + 1 + lp->dim, lp->dim);
+	res = isl_tab_min(lp->tab, lp->row->el, lp->ctx->one,
+			  &lp->tmp, NULL, 0);
+	if (res != isl_lp_ok)
+		return -1;
+
+	isl_int_neg(lp->row->el[0], lp->tmp);
+	if (isl_tab_add_eq(lp->tab, lp->row->el) < 0)
+		return -1;
+
+	isl_seq_cpy(lp->row->el + 1 + lp->dim, row, lp->dim);
+	isl_seq_clr(lp->row->el + 1, lp->dim);
+	if (isl_tab_add_eq(lp->tab, lp->row->el) < 0)
+		return -1;
+
+	lp->con_offset += 2;
+
+	return lp->tab->empty;
+}
+
+static void get_obj_val(struct tab_lp* lp, GBR_type *F)
+{
+	isl_int_neg(GBR_numref(*F), lp->opt);
+	isl_int_set(GBR_denref(*F), lp->opt_denom);
+}
+
+static void delete_lp(struct tab_lp *lp)
+{
+	if (!lp)
+		return;
+
+	isl_int_clear(lp->opt);
+	isl_int_clear(lp->opt_denom);
+	isl_int_clear(lp->tmp);
+	isl_int_clear(lp->tmp2);
+	isl_vec_free(lp->row);
+	free(lp->stack);
+	isl_tab_free(lp->tab);
+	isl_ctx_deref(lp->ctx);
+	free(lp);
+}
+
+static int add_lp_row(struct tab_lp *lp, isl_int *row, int dim)
+{
+	lp->stack[lp->neq] = isl_tab_snap(lp->tab);
+
+	isl_int_set_si(lp->row->el[0], 0);
+	isl_seq_cpy(lp->row->el + 1, row, lp->dim);
+	isl_seq_neg(lp->row->el + 1 + lp->dim, row, lp->dim);
+
+	if (isl_tab_add_valid_eq(lp->tab, lp->row->el) < 0)
+		return -1;
+
+	return lp->neq++;
+}
+
+static void get_alpha(struct tab_lp* lp, int row, GBR_type *alpha)
+{
+	row += lp->con_offset;
+	isl_int_neg(GBR_numref(*alpha), lp->tab->dual->el[1 + row]);
+	isl_int_set(GBR_denref(*alpha), lp->tab->dual->el[0]);
+}
+
+static int del_lp_row(struct tab_lp *lp)
+{
+	lp->neq--;
+	return isl_tab_rollback(lp->tab, lp->stack[lp->neq]);
+}