From 8a12bd90353fb30068a7afbbef14d4ddd51ded28 Mon Sep 17 00:00:00 2001 From: Tobias Grosser Date: Thu, 23 Jun 2016 18:59:30 +0000 Subject: [PATCH] Update isl to isl-0.17.1-84-g72ffe88 This is a regular maintenance update to ensure we are testing with a recent version of isl. llvm-svn: 273597 --- polly/lib/External/isl/GIT_HEAD_ID | 2 +- polly/lib/External/isl/doc/Makefile.am | 4 +- polly/lib/External/isl/doc/Makefile.in | 4 +- polly/lib/External/isl/doc/manual.pdf | Bin 473263 -> 473515 bytes polly/lib/External/isl/doc/user.pod | 14 + .../External/isl/include/isl/schedule_node.h | 2 + polly/lib/External/isl/isl_ast_build.c | 25 +- polly/lib/External/isl/isl_coalesce.c | 904 ++++++++++++++---- polly/lib/External/isl/isl_convex_hull.c | 12 +- polly/lib/External/isl/isl_schedule_band.c | 60 +- polly/lib/External/isl/isl_schedule_band.h | 5 + polly/lib/External/isl/isl_schedule_node.c | 20 +- polly/lib/External/isl/isl_schedule_tree.c | 107 ++- polly/lib/External/isl/isl_schedule_tree.h | 4 +- polly/lib/External/isl/isl_test.c | 25 + .../isl/test_inputs/codegen/correlation.c | 72 +- .../External/isl/test_inputs/codegen/hoist2.c | 6 +- .../isl/test_inputs/codegen/omega/lefur03-0.c | 4 +- .../isl/test_inputs/codegen/omega/lefur04-0.c | 2 +- .../isl/test_inputs/codegen/omega/wak2-0.c | 32 +- .../isl/test_inputs/codegen/omega/wak2-1.c | 48 +- .../isl/test_inputs/codegen/unroll4.c | 4 +- .../isl/test_inputs/codegen/unroll6.c | 2 +- 23 files changed, 1038 insertions(+), 320 deletions(-) diff --git a/polly/lib/External/isl/GIT_HEAD_ID b/polly/lib/External/isl/GIT_HEAD_ID index 8ab3716e9b34..e49f3f3884c7 100644 --- a/polly/lib/External/isl/GIT_HEAD_ID +++ b/polly/lib/External/isl/GIT_HEAD_ID @@ -1 +1 @@ -isl-0.17.1-57-g1879898 +isl-0.17.1-84-g72ffe88 diff --git a/polly/lib/External/isl/doc/Makefile.am b/polly/lib/External/isl/doc/Makefile.am index a2def5a6783a..1d61dd7775a4 100644 --- a/polly/lib/External/isl/doc/Makefile.am +++ b/polly/lib/External/isl/doc/Makefile.am @@ -9,7 +9,9 @@ CLEANFILES = \ manual.out \ manual.blg \ manual.log \ - manual.brf + manual.brf \ + manual.bcf \ + manual.run.xml if GENERATE_DOC export TEXINPUTS := $(srcdir):$(TEXINPUTS) diff --git a/polly/lib/External/isl/doc/Makefile.in b/polly/lib/External/isl/doc/Makefile.in index c66b1fad8bcd..3fb01043fc2a 100644 --- a/polly/lib/External/isl/doc/Makefile.in +++ b/polly/lib/External/isl/doc/Makefile.in @@ -283,7 +283,9 @@ CLEANFILES = \ manual.out \ manual.blg \ manual.log \ - manual.brf + manual.brf \ + manual.bcf \ + manual.run.xml all: all-am diff --git a/polly/lib/External/isl/doc/manual.pdf b/polly/lib/External/isl/doc/manual.pdf index 9c6c0241c34eb77884a415ad226a5ea19f0200a7..fd8bb1e72c054d0ef30968a43244f36f836765d3 100644 GIT binary patch delta 175966 zcmZ6yQ;;r76D&HmZQEL7+qP}n-*Am>+qSJWwr$%!`~3Ii#Es~Oj_i8ssHo1W?5w-T zt9rz%rve9NOJlA8rU8V;3&{)%!iC;`qjR2T+8~_)v`)k;6R`=s$$*qrs$h z!>bfDEB3;csqwnss<8Um!(aMWv6YnGwS{PTSy^f$SFK)lG=0b8hSH^$I2emv=?pM^zYTtYG+m279S zE#4l4_tQ+(vwA2uV+{_Oe|?@P!egxCvCmrtv&xRI?%OAYO?)`4KW5)`L! 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a/polly/lib/External/isl/doc/user.pod b/polly/lib/External/isl/doc/user.pod index 8491cbe8fd2c..97d2e2e67039 100644 --- a/polly/lib/External/isl/doc/user.pod +++ b/polly/lib/External/isl/doc/user.pod @@ -3457,6 +3457,12 @@ be created. __isl_give isl_printer *isl_printer_to_str(isl_ctx *ctx); __isl_null isl_printer *isl_printer_free( __isl_take isl_printer *printer); + +C prints to the given file, while +C prints to a string that can be extracted +using the following function. + + #include __isl_give char *isl_printer_get_str( __isl_keep isl_printer *printer); @@ -8189,6 +8195,9 @@ Several node types have their own functions for querying isl_schedule_node_band_set_ast_build_options( __isl_take isl_schedule_node *node, __isl_take isl_union_set *options); + __isl_give isl_set * + isl_schedule_node_band_get_ast_isolate_option( + __isl_keep isl_schedule_node *node); The function C returns the space of the partial schedule of the band. @@ -8217,6 +8226,9 @@ may return C if an error occurs. The AST build options govern how an AST is generated for the individual schedule dimensions during AST generation. See L. +The isolate option for the given node can be extracted from these +AST build options using the function +C. #include __isl_give isl_set * @@ -8498,6 +8510,8 @@ using the following function. The resulting outer band node contains the first C dimensions of the schedule of C while the inner band contains the remaining dimensions. The schedules of the two band nodes live in anonymous spaces. +The loop AST generation type options and the isolate option +are split over the the two band nodes. A band node can be moved down to the leaves of the subtree rooted at the band node using the following function. diff --git a/polly/lib/External/isl/include/isl/schedule_node.h b/polly/lib/External/isl/include/isl/schedule_node.h index 0ddc81f36190..51b31f9a4f0d 100644 --- a/polly/lib/External/isl/include/isl/schedule_node.h +++ b/polly/lib/External/isl/include/isl/schedule_node.h @@ -110,6 +110,8 @@ __isl_give isl_union_set *isl_schedule_node_band_get_ast_build_options( __isl_keep isl_schedule_node *node); __isl_give isl_schedule_node *isl_schedule_node_band_set_ast_build_options( __isl_take isl_schedule_node *node, __isl_take isl_union_set *options); +__isl_give isl_set *isl_schedule_node_band_get_ast_isolate_option( + __isl_keep isl_schedule_node *node); unsigned isl_schedule_node_band_n_member(__isl_keep isl_schedule_node *node); __isl_export isl_bool isl_schedule_node_band_member_get_coincident( diff --git a/polly/lib/External/isl/isl_ast_build.c b/polly/lib/External/isl/isl_ast_build.c index 9418006fd145..bc208e19cc2c 100644 --- a/polly/lib/External/isl/isl_ast_build.c +++ b/polly/lib/External/isl/isl_ast_build.c @@ -2387,9 +2387,6 @@ enum isl_ast_loop_type isl_ast_build_get_loop_type( __isl_give isl_ast_build *isl_ast_build_extract_isolated( __isl_take isl_ast_build *build) { - isl_space *space, *space2; - isl_union_set *options; - int n, n2; isl_set *isolated; if (!build) @@ -2403,27 +2400,7 @@ __isl_give isl_ast_build *isl_ast_build_extract_isolated( if (!build) return NULL; - options = isl_schedule_node_band_get_ast_build_options(build->node); - - space = isl_multi_aff_get_space(build->internal2input); - space = isl_space_range(space); - space2 = isl_set_get_space(build->domain); - if (isl_space_is_wrapping(space2)) - space2 = isl_space_range(isl_space_unwrap(space2)); - n2 = isl_space_dim(space2, isl_dim_set); - n = isl_space_dim(space, isl_dim_set); - if (n < n2) - isl_die(isl_ast_build_get_ctx(build), isl_error_internal, - "total input space dimension cannot be smaller " - "than dimension of innermost band", - space = isl_space_free(space)); - space = isl_space_drop_dims(space, isl_dim_set, n - n2, n2); - space = isl_space_map_from_domain_and_range(space, space2); - space = isl_space_wrap(space); - space = isl_space_set_tuple_name(space, isl_dim_set, "isolate"); - isolated = isl_union_set_extract_set(options, space); - isl_union_set_free(options); - + isolated = isl_schedule_node_band_get_ast_isolate_option(build->node); isolated = isl_set_flatten(isolated); isolated = isl_set_preimage_multi_aff(isolated, isl_multi_aff_copy(build->internal2input)); diff --git a/polly/lib/External/isl/isl_coalesce.c b/polly/lib/External/isl/isl_coalesce.c index 1d9ef14a760e..b7f2f90c5733 100644 --- a/polly/lib/External/isl/isl_coalesce.c +++ b/polly/lib/External/isl/isl_coalesce.c @@ -3,6 +3,7 @@ * Copyright 2010 INRIA Saclay * Copyright 2012-2013 Ecole Normale Superieure * Copyright 2014 INRIA Rocquencourt + * Copyright 2016 Sven Verdoolaege * * Use of this software is governed by the MIT license * @@ -15,6 +16,7 @@ * B.P. 105 - 78153 Le Chesnay, France */ +#include #include "isl_map_private.h" #include #include @@ -23,6 +25,7 @@ #include #include #include +#include #define STATUS_ERROR -1 #define STATUS_REDUNDANT 1 @@ -176,6 +179,36 @@ struct isl_coalesce_info { int *ineq; }; +/* Are all non-redundant constraints of the basic map represented by "info" + * either valid or cut constraints with respect to the other basic map? + */ +static int all_valid_or_cut(struct isl_coalesce_info *info) +{ + int i; + + for (i = 0; i < 2 * info->bmap->n_eq; ++i) { + if (info->eq[i] == STATUS_REDUNDANT) + continue; + if (info->eq[i] == STATUS_VALID) + continue; + if (info->eq[i] == STATUS_CUT) + continue; + return 0; + } + + for (i = 0; i < info->bmap->n_ineq; ++i) { + if (info->ineq[i] == STATUS_REDUNDANT) + continue; + if (info->ineq[i] == STATUS_VALID) + continue; + if (info->ineq[i] == STATUS_CUT) + continue; + return 0; + } + + return 1; +} + /* Compute the hash of the (apparent) affine hull of info->bmap (with * the existentially quantified variables removed) and store it * in info->hash. @@ -356,8 +389,8 @@ static int number_of_constraints_increases(int i, int j, * is assumed to be the same, the actual definitions may be different. * We only copy the definition from one of the basic map if it is * the same as that of the other basic map. Otherwise, we mark - * the integer division as unknown and schedule for the basic map - * to be simplified in an attempt to recover the integer division definition. + * the integer division as unknown and simplify the basic map + * in an attempt to recover the integer division definition. */ static enum isl_change fuse(int i, int j, struct isl_coalesce_info *info, __isl_keep isl_mat *extra, int detect_equalities, int check_number) @@ -368,6 +401,7 @@ static enum isl_change fuse(int i, int j, struct isl_coalesce_info *info, unsigned total = isl_basic_map_total_dim(info[i].bmap); unsigned extra_rows = extra ? extra->n_row : 0; unsigned n_eq, n_ineq; + int simplify = 0; if (j < i) return fuse(j, i, info, extra, detect_equalities, check_number); @@ -391,7 +425,7 @@ static enum isl_change fuse(int i, int j, struct isl_coalesce_info *info, 1 + 1 + total); } else { isl_int_set_si(fused->div[l][0], 0); - info[i].simplify = 1; + simplify = 1; } } @@ -405,7 +439,11 @@ static enum isl_change fuse(int i, int j, struct isl_coalesce_info *info, if (detect_equalities) fused = isl_basic_map_detect_inequality_pairs(fused, NULL); fused = isl_basic_map_gauss(fused, NULL); - ISL_F_SET(fused, ISL_BASIC_MAP_FINAL); + if (simplify || info[j].simplify) { + fused = isl_basic_map_simplify(fused); + info[i].simplify = 0; + } + fused = isl_basic_map_finalize(fused); if (ISL_F_ISSET(info[i].bmap, ISL_BASIC_MAP_RATIONAL) && ISL_F_ISSET(info[j].bmap, ISL_BASIC_MAP_RATIONAL)) ISL_F_SET(fused, ISL_BASIC_MAP_RATIONAL); @@ -421,7 +459,6 @@ static enum isl_change fuse(int i, int j, struct isl_coalesce_info *info, return isl_change_none; } - info[i].simplify |= info[j].simplify; isl_basic_map_free(info[i].bmap); info[i].bmap = fused; isl_tab_free(info[i].tab); @@ -698,14 +735,210 @@ static enum isl_change check_adj_ineq(int i, int j, return isl_change_none; } +/* Given an affine transformation matrix "T", does row "row" represent + * anything other than a unit vector (possibly shifted by a constant) + * that is not involved in any of the other rows? + * + * That is, if a constraint involves the variable corresponding to + * the row, then could its preimage by "T" have any coefficients + * that are different from those in the original constraint? + */ +static int not_unique_unit_row(__isl_keep isl_mat *T, int row) +{ + int i, j; + int len = T->n_col - 1; + + i = isl_seq_first_non_zero(T->row[row] + 1, len); + if (i < 0) + return 1; + if (!isl_int_is_one(T->row[row][1 + i]) && + !isl_int_is_negone(T->row[row][1 + i])) + return 1; + + j = isl_seq_first_non_zero(T->row[row] + 1 + i + 1, len - (i + 1)); + if (j >= 0) + return 1; + + for (j = 1; j < T->n_row; ++j) { + if (j == row) + continue; + if (!isl_int_is_zero(T->row[j][1 + i])) + return 1; + } + + return 0; +} + +/* Does inequality constraint "ineq" of "bmap" involve any of + * the variables marked in "affected"? + * "total" is the total number of variables, i.e., the number + * of entries in "affected". + */ +static int is_affected(__isl_keep isl_basic_map *bmap, int ineq, int *affected, + int total) +{ + int i; + + for (i = 0; i < total; ++i) { + if (!affected[i]) + continue; + if (!isl_int_is_zero(bmap->ineq[ineq][1 + i])) + return 1; + } + + return 0; +} + +/* Given the compressed version of inequality constraint "ineq" + * of info->bmap in "v", check if the constraint can be tightened, + * where the compression is based on an equality constraint valid + * for info->tab. + * If so, add the tightened version of the inequality constraint + * to info->tab. "v" may be modified by this function. + * + * That is, if the compressed constraint is of the form + * + * m f() + c >= 0 + * + * with 0 < c < m, then it is equivalent to + * + * f() >= 0 + * + * This means that c can also be subtracted from the original, + * uncompressed constraint without affecting the integer points + * in info->tab. Add this tightened constraint as an extra row + * to info->tab to make this information explicitly available. + */ +static __isl_give isl_vec *try_tightening(struct isl_coalesce_info *info, + int ineq, __isl_take isl_vec *v) +{ + isl_ctx *ctx; + int r; + + if (!v) + return NULL; + + ctx = isl_vec_get_ctx(v); + isl_seq_gcd(v->el + 1, v->size - 1, &ctx->normalize_gcd); + if (isl_int_is_zero(ctx->normalize_gcd) || + isl_int_is_one(ctx->normalize_gcd)) { + return v; + } + + v = isl_vec_cow(v); + if (!v) + return NULL; + + isl_int_fdiv_r(v->el[0], v->el[0], ctx->normalize_gcd); + if (isl_int_is_zero(v->el[0])) + return v; + + if (isl_tab_extend_cons(info->tab, 1) < 0) + return isl_vec_free(v); + + isl_int_sub(info->bmap->ineq[ineq][0], + info->bmap->ineq[ineq][0], v->el[0]); + r = isl_tab_add_ineq(info->tab, info->bmap->ineq[ineq]); + isl_int_add(info->bmap->ineq[ineq][0], + info->bmap->ineq[ineq][0], v->el[0]); + + if (r < 0) + return isl_vec_free(v); + + return v; +} + +/* Tighten the constraints on the facet represented by info->tab. + * In particular, on input, info->tab represents the result + * of replacing constraint k of info->bmap, i.e., f_k >= 0, + * by the adjacent equality, i.e., f_k + 1 = 0. + * + * Compute a variable compression from the equality constraint f_k + 1 = 0 + * and use it to tighten the other constraints of info->bmap, + * updating info->tab (and leaving info->bmap untouched). + * The compression handles essentially two cases, one where a variable + * is assigned a fixed value and can therefore be eliminated, and one + * where one variable is a shifted multiple of some other variable and + * can therefore be replaced by that multiple. + * Gaussian elimination would also work for the first case, but for + * the second case, the effectiveness would depend on the order + * of the variables. + * After compression, some of the constraints may have coefficients + * with a common divisor. If this divisor does not divide the constant + * term, then the constraint can be tightened. + * The tightening is performed on the tableau info->tab by introducing + * extra (temporary) constraints. + * + * Only constraints that are possibly affected by the compression are + * considered. In particular, if the constraint only involves variables + * that are directly mapped to a distinct set of other variables, then + * no common divisor can be introduced and no tightening can occur. + */ +static isl_stat tighten_on_relaxed_facet(struct isl_coalesce_info *info, + int k) +{ + unsigned total; + isl_ctx *ctx; + isl_vec *v = NULL; + isl_mat *T; + int i; + int *affected; + + ctx = isl_basic_map_get_ctx(info->bmap); + total = isl_basic_map_total_dim(info->bmap); + isl_int_add_ui(info->bmap->ineq[k][0], info->bmap->ineq[k][0], 1); + T = isl_mat_sub_alloc6(ctx, info->bmap->ineq, k, 1, 0, 1 + total); + T = isl_mat_variable_compression(T, NULL); + isl_int_sub_ui(info->bmap->ineq[k][0], info->bmap->ineq[k][0], 1); + if (!T) + return isl_stat_error; + if (T->n_col == 0) { + isl_mat_free(T); + return isl_stat_ok; + } + + affected = isl_alloc_array(ctx, int, total); + if (!affected) + goto error; + + for (i = 0; i < total; ++i) + affected[i] = not_unique_unit_row(T, 1 + i); + + for (i = 0; i < info->bmap->n_ineq; ++i) { + if (i == k) + continue; + if (!is_affected(info->bmap, i, affected, total)) + continue; + v = isl_vec_alloc(ctx, 1 + total); + if (!v) + goto error; + isl_seq_cpy(v->el, info->bmap->ineq[i], 1 + total); + v = isl_vec_mat_product(v, isl_mat_copy(T)); + v = try_tightening(info, i, v); + isl_vec_free(v); + if (!v) + goto error; + } + + isl_mat_free(T); + free(affected); + return isl_stat_ok; +error: + isl_mat_free(T); + free(affected); + return isl_stat_error; +} + /* Basic map "i" has an inequality "k" that is adjacent to some equality * of basic map "j". All the other inequalities are valid for "j". * Check if basic map "j" forms an extension of basic map "i". * * In particular, we relax constraint "k", compute the corresponding * facet and check whether it is included in the other basic map. - * If so, we know that relaxing the constraint extends the basic - * map with exactly the other basic map (we already know that this + * Before testing for inclusion, the constraints on the facet + * are tightened to increase the chance of an inclusion being detected. + * If the facet is included, we know that relaxing the constraint extends + * the basic map with exactly the other basic map (we already know that this * other basic map is included in the extension, because there * were no "cut" inequalities in "i") and we can replace the * two basic maps by this extension. @@ -738,6 +971,8 @@ static enum isl_change is_adj_eq_extension(int i, int j, int k, snap2 = isl_tab_snap(info[i].tab); if (isl_tab_select_facet(info[i].tab, n_eq + k) < 0) return isl_change_error; + if (tighten_on_relaxed_facet(&info[i], k) < 0) + return isl_change_error; super = contains(&info[j], info[i].tab); if (super < 0) return isl_change_error; @@ -1141,16 +1376,14 @@ error: return isl_change_error; } -/* Given a pair of basic maps i and j such that j sticks out - * of i at n cut constraints, each time by at most one, - * try to compute wrapping constraints and replace the two - * basic maps by a single basic map. - * The other constraints of i are assumed to be valid for j. - * - * For each cut constraint t(x) >= 0 of i, we add the relaxed version - * t(x) + 1 >= 0, along with wrapping constraints for all constraints +/* Given a cut constraint t(x) >= 0 of basic map i, stored in row "w" + * of wrap.mat, replace it by its relaxed version t(x) + 1 >= 0, and + * add wrapping constraints to wrap.mat for all constraints * of basic map j that bound the part of basic map j that sticks out * of the cut constraint. + * "set_i" is the underlying set of basic map i. + * If any wrapping fails, then wraps->mat.n_row is reset to zero. + * * In particular, we first intersect basic map j with t(x) + 1 = 0. * If the result is empty, then t(x) >= 0 was actually a valid constraint * (with respect to the integer points), so we add t(x) >= 0 instead. @@ -1163,12 +1396,106 @@ error: * therefore be more relaxed compared to the original constraint. * Since the original constraint is valid for basic map j, so is * the wrapped constraint. + */ +static isl_stat wrap_in_facet(struct isl_wraps *wraps, int w, + struct isl_coalesce_info *info_j, __isl_keep isl_set *set_i, + struct isl_tab_undo *snap) +{ + isl_int_add_ui(wraps->mat->row[w][0], wraps->mat->row[w][0], 1); + if (isl_tab_add_eq(info_j->tab, wraps->mat->row[w]) < 0) + return isl_stat_error; + if (isl_tab_detect_redundant(info_j->tab) < 0) + return isl_stat_error; + + if (info_j->tab->empty) + isl_int_sub_ui(wraps->mat->row[w][0], wraps->mat->row[w][0], 1); + else if (add_wraps(wraps, info_j, wraps->mat->row[w], set_i) < 0) + return isl_stat_error; + + if (isl_tab_rollback(info_j->tab, snap) < 0) + return isl_stat_error; + + return isl_stat_ok; +} + +/* Given a pair of basic maps i and j such that j sticks out + * of i at n cut constraints, each time by at most one, + * try to compute wrapping constraints and replace the two + * basic maps by a single basic map. + * The other constraints of i are assumed to be valid for j. + * "set_i" is the underlying set of basic map i. + * "wraps" has been initialized to be of the right size. + * + * For each cut constraint t(x) >= 0 of i, we add the relaxed version + * t(x) + 1 >= 0, along with wrapping constraints for all constraints + * of basic map j that bound the part of basic map j that sticks out + * of the cut constraint. * * If any wrapping fails, i.e., if we cannot wrap to touch * the union, then we give up. * Otherwise, the pair of basic maps is replaced by their union. */ -static enum isl_change wrap_in_facets(int i, int j, int *cuts, int n, +static enum isl_change try_wrap_in_facets(int i, int j, + struct isl_coalesce_info *info, struct isl_wraps *wraps, + __isl_keep isl_set *set_i) +{ + int k, l, w; + unsigned total; + struct isl_tab_undo *snap; + + total = isl_basic_map_total_dim(info[i].bmap); + + snap = isl_tab_snap(info[j].tab); + + wraps->mat->n_row = 0; + + for (k = 0; k < info[i].bmap->n_eq; ++k) { + for (l = 0; l < 2; ++l) { + if (info[i].eq[2 * k + l] != STATUS_CUT) + continue; + w = wraps->mat->n_row++; + if (l == 0) + isl_seq_neg(wraps->mat->row[w], + info[i].bmap->eq[k], 1 + total); + else + isl_seq_cpy(wraps->mat->row[w], + info[i].bmap->eq[k], 1 + total); + if (wrap_in_facet(wraps, w, &info[j], set_i, snap) < 0) + return isl_change_error; + + if (!wraps->mat->n_row) + return isl_change_none; + } + } + + for (k = 0; k < info[i].bmap->n_ineq; ++k) { + if (info[i].ineq[k] != STATUS_CUT) + continue; + w = wraps->mat->n_row++; + isl_seq_cpy(wraps->mat->row[w], + info[i].bmap->ineq[k], 1 + total); + if (wrap_in_facet(wraps, w, &info[j], set_i, snap) < 0) + return isl_change_error; + + if (!wraps->mat->n_row) + return isl_change_none; + } + + return fuse(i, j, info, wraps->mat, 0, 1); +} + +/* Given a pair of basic maps i and j such that j sticks out + * of i at n cut constraints, each time by at most one, + * try to compute wrapping constraints and replace the two + * basic maps by a single basic map. + * The other constraints of i are assumed to be valid for j. + * + * The core computation is performed by try_wrap_in_facets. + * This function simply extracts an underlying set representation + * of basic map i and initializes the data structure for keeping + * track of wrapping constraints. + */ +static enum isl_change wrap_in_facets(int i, int j, int n, struct isl_coalesce_info *info) { enum isl_change change = isl_change_none; @@ -1178,8 +1505,6 @@ static enum isl_change wrap_in_facets(int i, int j, int *cuts, int n, isl_set *set_i = NULL; unsigned total = isl_basic_map_total_dim(info[i].bmap); int max_wrap; - int k, w; - struct isl_tab_undo *snap; if (isl_tab_extend_cons(info[j].tab, 1) < 0) return isl_change_error; @@ -1194,36 +1519,7 @@ static enum isl_change wrap_in_facets(int i, int j, int *cuts, int n, if (!set_i || !wraps.mat) goto error; - snap = isl_tab_snap(info[j].tab); - - wraps.mat->n_row = 0; - - for (k = 0; k < n; ++k) { - w = wraps.mat->n_row++; - isl_seq_cpy(wraps.mat->row[w], - info[i].bmap->ineq[cuts[k]], 1 + total); - isl_int_add_ui(wraps.mat->row[w][0], wraps.mat->row[w][0], 1); - if (isl_tab_add_eq(info[j].tab, wraps.mat->row[w]) < 0) - goto error; - if (isl_tab_detect_redundant(info[j].tab) < 0) - goto error; - - if (info[j].tab->empty) - isl_int_sub_ui(wraps.mat->row[w][0], - wraps.mat->row[w][0], 1); - else if (add_wraps(&wraps, &info[j], - wraps.mat->row[w], set_i) < 0) - goto error; - - if (isl_tab_rollback(info[j].tab, snap) < 0) - goto error; - - if (!wraps.mat->n_row) - break; - } - - if (k == n) - change = fuse(i, j, info, wraps.mat, 0, 1); + change = try_wrap_in_facets(i, j, info, &wraps, set_i); wraps_free(&wraps); isl_set_free(set_i); @@ -1235,8 +1531,22 @@ error: return isl_change_error; } -/* Given two basic sets i and j such that i has no cut equalities, - * check if relaxing all the cut inequalities of i by one turns +/* Return the effect of inequality "ineq" on the tableau "tab", + * after relaxing the constant term of "ineq" by one. + */ +static enum isl_ineq_type type_of_relaxed(struct isl_tab *tab, isl_int *ineq) +{ + enum isl_ineq_type type; + + isl_int_add_ui(ineq[0], ineq[0], 1); + type = isl_tab_ineq_type(tab, ineq); + isl_int_sub_ui(ineq[0], ineq[0], 1); + + return type; +} + +/* Given two basic sets i and j, + * check if relaxing all the cut constraints of i by one turns * them into valid constraint for j and check if we can wrap in * the bits that are sticking out. * If so, replace the pair by their union. @@ -1297,56 +1607,59 @@ error: static enum isl_change can_wrap_in_set(int i, int j, struct isl_coalesce_info *info) { - enum isl_change change = isl_change_none; - int k, m; + int k, l; int n; - int *cuts = NULL; - isl_ctx *ctx; + unsigned total; if (ISL_F_ISSET(info[i].bmap, ISL_BASIC_MAP_RATIONAL) || ISL_F_ISSET(info[j].bmap, ISL_BASIC_MAP_RATIONAL)) return isl_change_none; - n = count(info[i].ineq, info[i].bmap->n_ineq, STATUS_CUT); + n = count(info[i].eq, 2 * info[i].bmap->n_eq, STATUS_CUT); + n += count(info[i].ineq, info[i].bmap->n_ineq, STATUS_CUT); if (n == 0) return isl_change_none; - ctx = isl_basic_map_get_ctx(info[i].bmap); - cuts = isl_alloc_array(ctx, int, n); - if (!cuts) - return isl_change_error; + total = isl_basic_map_total_dim(info[i].bmap); + for (k = 0; k < info[i].bmap->n_eq; ++k) { + for (l = 0; l < 2; ++l) { + enum isl_ineq_type type; - for (k = 0, m = 0; m < n; ++k) { + if (info[i].eq[2 * k + l] != STATUS_CUT) + continue; + + if (l == 0) + isl_seq_neg(info[i].bmap->eq[k], + info[i].bmap->eq[k], 1 + total); + type = type_of_relaxed(info[j].tab, + info[i].bmap->eq[k]); + if (l == 0) + isl_seq_neg(info[i].bmap->eq[k], + info[i].bmap->eq[k], 1 + total); + if (type == isl_ineq_error) + return isl_change_error; + if (type != isl_ineq_redundant) + return isl_change_none; + } + } + + for (k = 0; k < info[i].bmap->n_ineq; ++k) { enum isl_ineq_type type; if (info[i].ineq[k] != STATUS_CUT) continue; - isl_int_add_ui(info[i].bmap->ineq[k][0], - info[i].bmap->ineq[k][0], 1); - type = isl_tab_ineq_type(info[j].tab, info[i].bmap->ineq[k]); - isl_int_sub_ui(info[i].bmap->ineq[k][0], - info[i].bmap->ineq[k][0], 1); + type = type_of_relaxed(info[j].tab, info[i].bmap->ineq[k]); if (type == isl_ineq_error) - goto error; + return isl_change_error; if (type != isl_ineq_redundant) - break; - cuts[m] = k; - ++m; + return isl_change_none; } - if (m == n) - change = wrap_in_facets(i, j, cuts, n, info); - - free(cuts); - - return change; -error: - free(cuts); - return isl_change_error; + return wrap_in_facets(i, j, n, info); } -/* Check if either i or j has only cut inequalities that can +/* Check if either i or j has only cut constraints that can * be used to wrap in (a facet of) the other basic set. * if so, replace the pair by their union. */ @@ -1354,13 +1667,11 @@ static enum isl_change check_wrap(int i, int j, struct isl_coalesce_info *info) { enum isl_change change = isl_change_none; - if (!any(info[i].eq, 2 * info[i].bmap->n_eq, STATUS_CUT)) - change = can_wrap_in_set(i, j, info); + change = can_wrap_in_set(i, j, info); if (change != isl_change_none) return change; - if (!any(info[j].eq, 2 * info[j].bmap->n_eq, STATUS_CUT)) - change = can_wrap_in_set(j, i, info); + change = can_wrap_in_set(j, i, info); return change; } @@ -1368,6 +1679,10 @@ static enum isl_change check_wrap(int i, int j, struct isl_coalesce_info *info) * to inequality. Make sure that only one of the basic maps has * such an equality and that the other basic map has exactly one * inequality adjacent to an equality. + * If the other basic map does not have such an inequality, then + * check if all its constraints are either valid or cut constraints + * and, if so, try wrapping in the first map into the second. + * * We call the basic map that has the inequality "i" and the basic * map that has the equality "j". * If "i" has any "cut" (in)equality, then relaxing the inequality @@ -1392,11 +1707,15 @@ static enum isl_change check_adj_eq(int i, int j, /* j has an equality adjacent to an inequality in i */ + if (count(info[i].ineq, info[i].bmap->n_ineq, STATUS_ADJ_EQ) != 1) { + if (all_valid_or_cut(&info[i])) + return can_wrap_in_set(i, j, info); + return isl_change_none; + } if (any(info[i].eq, 2 * info[i].bmap->n_eq, STATUS_CUT)) return isl_change_none; any_cut = any(info[i].ineq, info[i].bmap->n_ineq, STATUS_CUT); - if (count(info[i].ineq, info[i].bmap->n_ineq, STATUS_ADJ_EQ) != 1 || - any(info[j].ineq, info[j].bmap->n_ineq, STATUS_ADJ_EQ) || + if (any(info[j].ineq, info[j].bmap->n_ineq, STATUS_ADJ_EQ) || any(info[i].ineq, info[i].bmap->n_ineq, STATUS_ADJ_INEQ) || any(info[j].ineq, info[j].bmap->n_ineq, STATUS_ADJ_INEQ)) /* ADJ EQ TOO MANY */ @@ -1507,12 +1826,57 @@ unbounded: return change; } +/* Initialize the "eq" and "ineq" fields of "info". + */ +static void init_status(struct isl_coalesce_info *info) +{ + info->eq = info->ineq = NULL; +} + +/* Set info->eq to the positions of the equalities of info->bmap + * with respect to the basic map represented by "tab". + * If info->eq has already been computed, then do not compute it again. + */ +static void set_eq_status_in(struct isl_coalesce_info *info, + struct isl_tab *tab) +{ + if (info->eq) + return; + info->eq = eq_status_in(info->bmap, tab); +} + +/* Set info->ineq to the positions of the inequalities of info->bmap + * with respect to the basic map represented by "tab". + * If info->ineq has already been computed, then do not compute it again. + */ +static void set_ineq_status_in(struct isl_coalesce_info *info, + struct isl_tab *tab) +{ + if (info->ineq) + return; + info->ineq = ineq_status_in(info->bmap, info->tab, tab); +} + +/* Free the memory allocated by the "eq" and "ineq" fields of "info". + * This function assumes that init_status has been called on "info" first, + * after which the "eq" and "ineq" fields may or may not have been + * assigned a newly allocated array. + */ +static void clear_status(struct isl_coalesce_info *info) +{ + free(info->eq); + free(info->ineq); +} + /* Check if the union of the given pair of basic maps * can be represented by a single basic map. * If so, replace the pair by the single basic map and return * isl_change_drop_first, isl_change_drop_second or isl_change_fuse. * Otherwise, return isl_change_none. * The two basic maps are assumed to live in the same local space. + * The "eq" and "ineq" fields of info[i] and info[j] are assumed + * to have been initialized by the caller, either to NULL or + * to valid information. * * We first check the effect of each constraint of one basic map * on the other basic map. @@ -1590,15 +1954,12 @@ unbounded: * corresponding to the basic maps. When the basic maps are dropped * or combined, the tableaus are modified accordingly. */ -static enum isl_change coalesce_local_pair(int i, int j, +static enum isl_change coalesce_local_pair_reuse(int i, int j, struct isl_coalesce_info *info) { enum isl_change change = isl_change_none; - info[i].eq = info[i].ineq = NULL; - info[j].eq = info[j].ineq = NULL; - - info[i].eq = eq_status_in(info[i].bmap, info[j].tab); + set_eq_status_in(&info[i], info[j].tab); if (info[i].bmap->n_eq && !info[i].eq) goto error; if (any(info[i].eq, 2 * info[i].bmap->n_eq, STATUS_ERROR)) @@ -1606,7 +1967,7 @@ static enum isl_change coalesce_local_pair(int i, int j, if (any(info[i].eq, 2 * info[i].bmap->n_eq, STATUS_SEPARATE)) goto done; - info[j].eq = eq_status_in(info[j].bmap, info[i].tab); + set_eq_status_in(&info[j], info[i].tab); if (info[j].bmap->n_eq && !info[j].eq) goto error; if (any(info[j].eq, 2 * info[j].bmap->n_eq, STATUS_ERROR)) @@ -1614,7 +1975,7 @@ static enum isl_change coalesce_local_pair(int i, int j, if (any(info[j].eq, 2 * info[j].bmap->n_eq, STATUS_SEPARATE)) goto done; - info[i].ineq = ineq_status_in(info[i].bmap, info[i].tab, info[j].tab); + set_ineq_status_in(&info[i], info[j].tab); if (info[i].bmap->n_ineq && !info[i].ineq) goto error; if (any(info[i].ineq, info[i].bmap->n_ineq, STATUS_ERROR)) @@ -1622,7 +1983,7 @@ static enum isl_change coalesce_local_pair(int i, int j, if (any(info[i].ineq, info[i].bmap->n_ineq, STATUS_SEPARATE)) goto done; - info[j].ineq = ineq_status_in(info[j].bmap, info[j].tab, info[i].tab); + set_ineq_status_in(&info[j], info[i].tab); if (info[j].bmap->n_ineq && !info[j].ineq) goto error; if (any(info[j].ineq, info[j].bmap->n_ineq, STATUS_ERROR)) @@ -1661,19 +2022,30 @@ static enum isl_change coalesce_local_pair(int i, int j, } done: - free(info[i].eq); - free(info[j].eq); - free(info[i].ineq); - free(info[j].ineq); + clear_status(&info[i]); + clear_status(&info[j]); return change; error: - free(info[i].eq); - free(info[j].eq); - free(info[i].ineq); - free(info[j].ineq); + clear_status(&info[i]); + clear_status(&info[j]); return isl_change_error; } +/* Check if the union of the given pair of basic maps + * can be represented by a single basic map. + * If so, replace the pair by the single basic map and return + * isl_change_drop_first, isl_change_drop_second or isl_change_fuse. + * Otherwise, return isl_change_none. + * The two basic maps are assumed to live in the same local space. + */ +static enum isl_change coalesce_local_pair(int i, int j, + struct isl_coalesce_info *info) +{ + init_status(&info[i]); + init_status(&info[j]); + return coalesce_local_pair_reuse(i, j, info); +} + /* Shift the integer division at position "div" of the basic map * represented by "info" by "shift". * @@ -1805,75 +2177,233 @@ static int same_divs(__isl_keep isl_basic_map *bmap1, return 1; } -/* Does "bmap" contain the basic map represented by the tableau "tab" - * after expanding the divs of "bmap" to match those of "tab"? +/* Expand info->tab in the same way info->bmap was expanded in + * isl_basic_map_expand_divs using the expansion "exp" and + * update info->ineq with respect to the redundant constraints + * in the resulting tableau. + * In particular, introduce extra variables corresponding + * to the extra integer divisions and add the div constraints + * that were added to info->bmap after info->tab was created + * from the original info->bmap. + * info->ineq was computed without a tableau and therefore + * does not take into account the redundant constraints + * in the tableau. Mark them here. + */ +static isl_stat expand_tab(struct isl_coalesce_info *info, int *exp) +{ + unsigned total, pos, n_div; + int extra_var; + int i, n, j, n_ineq; + unsigned n_eq; + + total = isl_basic_map_dim(info->bmap, isl_dim_all); + n_div = isl_basic_map_dim(info->bmap, isl_dim_div); + pos = total - n_div; + extra_var = total - info->tab->n_var; + n = n_div - extra_var; + + if (isl_tab_extend_vars(info->tab, extra_var) < 0) + return isl_stat_error; + if (isl_tab_extend_cons(info->tab, 2 * extra_var) < 0) + return isl_stat_error; + + i = 0; + for (j = 0; j < n_div; ++j) { + if (i < n && exp[i] == j) { + ++i; + continue; + } + if (isl_tab_insert_var(info->tab, pos + j) < 0) + return isl_stat_error; + } + + n_ineq = info->tab->n_con - info->tab->n_eq; + for (i = n_ineq; i < info->bmap->n_ineq; ++i) + if (isl_tab_add_ineq(info->tab, info->bmap->ineq[i]) < 0) + return isl_stat_error; + + n_eq = info->bmap->n_eq; + for (i = 0; i < info->bmap->n_ineq; ++i) { + if (isl_tab_is_redundant(info->tab, n_eq + i)) + info->ineq[i] = STATUS_REDUNDANT; + } + + return isl_stat_ok; +} + +/* Check if the union of the basic maps represented by info[i] and info[j] + * can be represented by a single basic map, + * after expanding the divs of info[i] to match those of info[j]. + * If so, replace the pair by the single basic map and return + * isl_change_drop_first, isl_change_drop_second or isl_change_fuse. + * Otherwise, return isl_change_none. + * + * The caller has already checked for info[j] being a subset of info[i]. + * If some of the divs of info[j] are unknown, then the expanded info[i] + * will not have the corresponding div constraints. The other patterns + * therefore cannot apply. Skip the computation in this case. + * * The expansion is performed using the divs "div" and expansion "exp" * computed by the caller. - * Then we check if all constraints of the expanded "bmap" are valid for "tab". + * info[i].bmap has already been expanded and the result is passed in + * as "bmap". + * The "eq" and "ineq" fields of info[i] reflect the status of + * the constraints of the expanded "bmap" with respect to info[j].tab. + * However, inequality constraints that are redundant in info[i].tab + * have not yet been marked as such because no tableau was available. + * + * Replace info[i].bmap by "bmap" and expand info[i].tab as well, + * updating info[i].ineq with respect to the redundant constraints. + * Then try and coalesce the expanded info[i] with info[j], + * reusing the information in info[i].eq and info[i].ineq. + * If this does not result in any coalescing or if it results in info[j] + * getting dropped (which should not happen in practice, since the case + * of info[j] being a subset of info[i] has already been checked by + * the caller), then revert info[i] to its original state. */ -static int contains_with_expanded_divs(__isl_keep isl_basic_map *bmap, - struct isl_tab *tab, __isl_keep isl_mat *div, int *exp) +static enum isl_change coalesce_expand_tab_divs(__isl_take isl_basic_map *bmap, + int i, int j, struct isl_coalesce_info *info, __isl_keep isl_mat *div, + int *exp) { - int superset = 0; - int *eq_i = NULL; - int *ineq_i = NULL; + isl_bool known; + isl_basic_map *bmap_i; + struct isl_tab_undo *snap; + enum isl_change change = isl_change_none; + known = isl_basic_map_divs_known(info[j].bmap); + if (known < 0 || !known) { + clear_status(&info[i]); + isl_basic_map_free(bmap); + return known < 0 ? isl_change_error : isl_change_none; + } + + bmap_i = info[i].bmap; + info[i].bmap = isl_basic_map_copy(bmap); + snap = isl_tab_snap(info[i].tab); + if (!info[i].bmap || expand_tab(&info[i], exp) < 0) + change = isl_change_error; + + init_status(&info[j]); + if (change == isl_change_none) + change = coalesce_local_pair_reuse(i, j, info); + else + clear_status(&info[i]); + if (change != isl_change_none && change != isl_change_drop_second) { + isl_basic_map_free(bmap_i); + } else { + isl_basic_map_free(info[i].bmap); + info[i].bmap = bmap_i; + + if (isl_tab_rollback(info[i].tab, snap) < 0) + change = isl_change_error; + } + + isl_basic_map_free(bmap); + return change; +} + +/* Check if the union of "bmap" and the basic map represented by info[j] + * can be represented by a single basic map, + * after expanding the divs of "bmap" to match those of info[j]. + * If so, replace the pair by the single basic map and return + * isl_change_drop_first, isl_change_drop_second or isl_change_fuse. + * Otherwise, return isl_change_none. + * + * In particular, check if the expanded "bmap" contains the basic map + * represented by the tableau info[j].tab. + * The expansion is performed using the divs "div" and expansion "exp" + * computed by the caller. + * Then we check if all constraints of the expanded "bmap" are valid for + * info[j].tab. + * + * If "i" is not equal to -1, then "bmap" is equal to info[i].bmap. + * In this case, the positions of the constraints of info[i].bmap + * with respect to the basic map represented by info[j] are stored + * in info[i]. + * + * If the expanded "bmap" does not contain the basic map + * represented by the tableau info[j].tab and if "i" is not -1, + * i.e., if the original "bmap" is info[i].bmap, then expand info[i].tab + * as well and check if that results in coalescing. + */ +static enum isl_change coalesce_with_expanded_divs( + __isl_keep isl_basic_map *bmap, int i, int j, + struct isl_coalesce_info *info, __isl_keep isl_mat *div, int *exp) +{ + enum isl_change change = isl_change_none; + struct isl_coalesce_info info_local, *info_i; + + info_i = i >= 0 ? &info[i] : &info_local; + init_status(info_i); bmap = isl_basic_map_copy(bmap); bmap = isl_basic_map_expand_divs(bmap, isl_mat_copy(div), exp); if (!bmap) goto error; - eq_i = eq_status_in(bmap, tab); - if (bmap->n_eq && !eq_i) + info_i->eq = eq_status_in(bmap, info[j].tab); + if (bmap->n_eq && !info_i->eq) goto error; - if (any(eq_i, 2 * bmap->n_eq, STATUS_ERROR)) + if (any(info_i->eq, 2 * bmap->n_eq, STATUS_ERROR)) goto error; - if (any(eq_i, 2 * bmap->n_eq, STATUS_SEPARATE)) + if (any(info_i->eq, 2 * bmap->n_eq, STATUS_SEPARATE)) goto done; - ineq_i = ineq_status_in(bmap, NULL, tab); - if (bmap->n_ineq && !ineq_i) + info_i->ineq = ineq_status_in(bmap, NULL, info[j].tab); + if (bmap->n_ineq && !info_i->ineq) goto error; - if (any(ineq_i, bmap->n_ineq, STATUS_ERROR)) + if (any(info_i->ineq, bmap->n_ineq, STATUS_ERROR)) goto error; - if (any(ineq_i, bmap->n_ineq, STATUS_SEPARATE)) + if (any(info_i->ineq, bmap->n_ineq, STATUS_SEPARATE)) goto done; - if (all(eq_i, 2 * bmap->n_eq, STATUS_VALID) && - all(ineq_i, bmap->n_ineq, STATUS_VALID)) - superset = 1; + if (all(info_i->eq, 2 * bmap->n_eq, STATUS_VALID) && + all(info_i->ineq, bmap->n_ineq, STATUS_VALID)) { + drop(&info[j]); + change = isl_change_drop_second; + } + + if (change == isl_change_none && i != -1) + return coalesce_expand_tab_divs(bmap, i, j, info, div, exp); done: isl_basic_map_free(bmap); - free(eq_i); - free(ineq_i); - return superset; + clear_status(info_i); + return change; error: isl_basic_map_free(bmap); - free(eq_i); - free(ineq_i); - return -1; + clear_status(info_i); + return isl_change_error; } -/* Does "bmap_i" contain the basic map represented by "info_j" - * after aligning the divs of "bmap_i" to those of "info_j". +/* Check if the union of "bmap_i" and the basic map represented by info[j] + * can be represented by a single basic map, + * after aligning the divs of "bmap_i" to match those of info[j]. + * If so, replace the pair by the single basic map and return + * isl_change_drop_first, isl_change_drop_second or isl_change_fuse. + * Otherwise, return isl_change_none. + * + * In particular, check if "bmap_i" contains the basic map represented by + * info[j] after aligning the divs of "bmap_i" to those of info[j]. * Note that this can only succeed if the number of divs of "bmap_i" - * is smaller than (or equal to) the number of divs of "info_j". + * is smaller than (or equal to) the number of divs of info[j]. * * We first check if the divs of "bmap_i" are all known and form a subset - * of those of "bmap_j". If so, we pass control over to - * contains_with_expanded_divs. + * of those of info[j].bmap. If so, we pass control over to + * coalesce_with_expanded_divs. + * + * If "i" is not equal to -1, then "bmap" is equal to info[i].bmap. */ -static int contains_after_aligning_divs(__isl_keep isl_basic_map *bmap_i, - struct isl_coalesce_info *info_j) +static enum isl_change coalesce_after_aligning_divs( + __isl_keep isl_basic_map *bmap_i, int i, int j, + struct isl_coalesce_info *info) { int known; isl_mat *div_i, *div_j, *div; int *exp1 = NULL; int *exp2 = NULL; isl_ctx *ctx; - int subset; + enum isl_change change; known = isl_basic_map_divs_known(bmap_i); if (known < 0 || !known) @@ -1882,7 +2412,7 @@ static int contains_after_aligning_divs(__isl_keep isl_basic_map *bmap_i, ctx = isl_basic_map_get_ctx(bmap_i); div_i = isl_basic_map_get_divs(bmap_i); - div_j = isl_basic_map_get_divs(info_j->bmap); + div_j = isl_basic_map_get_divs(info[j].bmap); if (!div_i || !div_j) goto error; @@ -1897,10 +2427,10 @@ static int contains_after_aligning_divs(__isl_keep isl_basic_map *bmap_i, goto error; if (div->n_row == div_j->n_row) - subset = contains_with_expanded_divs(bmap_i, - info_j->tab, div, exp1); + change = coalesce_with_expanded_divs(bmap_i, + i, j, info, div, exp1); else - subset = 0; + change = isl_change_none; isl_mat_free(div); @@ -1910,43 +2440,18 @@ static int contains_after_aligning_divs(__isl_keep isl_basic_map *bmap_i, free(exp2); free(exp1); - return subset; + return change; error: isl_mat_free(div_i); isl_mat_free(div_j); free(exp1); free(exp2); - return -1; -} - -/* Check if the basic map "j" is a subset of basic map "i", - * if "i" has fewer divs that "j". - * If so, remove basic map "j". - * - * If the two basic maps have the same number of divs, then - * they must necessarily be different. Otherwise, we would have - * called coalesce_local_pair. We therefore don't try anything - * in this case. - */ -static int coalesced_subset(int i, int j, struct isl_coalesce_info *info) -{ - int superset; - - if (info[i].bmap->n_div >= info[j].bmap->n_div) - return 0; - - superset = contains_after_aligning_divs(info[i].bmap, &info[j]); - if (superset < 0) - return -1; - if (superset) - drop(&info[j]); - - return superset; + return isl_change_error; } /* Check if basic map "j" is a subset of basic map "i" after * exploiting the extra equalities of "j" to simplify the divs of "i". - * If so, remove basic map "j". + * If so, remove basic map "j" and return isl_change_drop_second. * * If "j" does not have any equalities or if they are the same * as those of "i", then we cannot exploit them to simplify the divs. @@ -1961,16 +2466,17 @@ static int coalesced_subset(int i, int j, struct isl_coalesce_info *info) * "i" still has more divs than "j", then there is no way we can * align the divs of "i" to those of "j". */ -static int coalesced_subset_with_equalities(int i, int j, +static enum isl_change coalesce_subset_with_equalities(int i, int j, struct isl_coalesce_info *info) { isl_basic_map *hull_i, *hull_j, *bmap_i; - int equal, empty, subset; + int equal, empty; + enum isl_change change; if (info[j].bmap->n_eq == 0) - return 0; + return isl_change_none; if (info[i].bmap->n_div == 0) - return 0; + return isl_change_none; hull_i = isl_basic_map_copy(info[i].bmap); hull_i = isl_basic_map_plain_affine_hull(hull_i); @@ -1984,33 +2490,35 @@ static int coalesced_subset_with_equalities(int i, int j, if (equal < 0 || equal || empty < 0 || empty) { isl_basic_map_free(hull_j); - return equal < 0 || empty < 0 ? -1 : 0; + if (equal < 0 || empty < 0) + return isl_change_error; + return isl_change_none; } bmap_i = isl_basic_map_copy(info[i].bmap); bmap_i = isl_basic_map_intersect(bmap_i, hull_j); if (!bmap_i) - return -1; + return isl_change_error; if (bmap_i->n_div > info[j].bmap->n_div) { isl_basic_map_free(bmap_i); - return 0; + return isl_change_none; } - subset = contains_after_aligning_divs(bmap_i, &info[j]); + change = coalesce_after_aligning_divs(bmap_i, -1, j, info); isl_basic_map_free(bmap_i); - if (subset < 0) - return -1; - if (subset) - drop(&info[j]); - - return subset; + return change; } -/* Check if one of the basic maps is a subset of the other and, if so, - * drop the subset. +/* Check if the union of and the basic maps represented by info[i] and info[j] + * can be represented by a single basic map, by aligning or equating + * their integer divisions. + * If so, replace the pair by the single basic map and return + * isl_change_drop_first, isl_change_drop_second or isl_change_fuse. + * Otherwise, return isl_change_none. + * * Note that we only perform any test if the number of divs is different * in the two basic maps. In case the number of divs is the same, * we have already established that the divs are different @@ -2019,26 +2527,28 @@ static int coalesced_subset_with_equalities(int i, int j, * the number of divs of basic map j, then we check if j is a subset of i * and vice versa. */ -static enum isl_change check_coalesce_subset(int i, int j, +static enum isl_change coalesce_divs(int i, int j, struct isl_coalesce_info *info) { - int changed; + enum isl_change change = isl_change_none; - changed = coalesced_subset(i, j, info); - if (changed < 0 || changed) - return changed < 0 ? isl_change_error : isl_change_drop_second; + if (info[i].bmap->n_div < info[j].bmap->n_div) + change = coalesce_after_aligning_divs(info[i].bmap, i, j, info); + if (change != isl_change_none) + return change; - changed = coalesced_subset(j, i, info); - if (changed < 0 || changed) - return changed < 0 ? isl_change_error : isl_change_drop_first; + if (info[j].bmap->n_div < info[i].bmap->n_div) + change = coalesce_after_aligning_divs(info[j].bmap, j, i, info); + if (change != isl_change_none) + return invert_change(change); - changed = coalesced_subset_with_equalities(i, j, info); - if (changed < 0 || changed) - return changed < 0 ? isl_change_error : isl_change_drop_second; + change = coalesce_subset_with_equalities(i, j, info); + if (change != isl_change_none) + return change; - changed = coalesced_subset_with_equalities(j, i, info); - if (changed < 0 || changed) - return changed < 0 ? isl_change_error : isl_change_drop_first; + change = coalesce_subset_with_equalities(j, i, info); + if (change != isl_change_none) + return invert_change(change); return isl_change_none; } @@ -2455,7 +2965,7 @@ static enum isl_change coalesce_pair(int i, int j, return change; } - change = check_coalesce_subset(i, j, info); + change = coalesce_divs(i, j, info); if (change != isl_change_none) return change; diff --git a/polly/lib/External/isl/isl_convex_hull.c b/polly/lib/External/isl/isl_convex_hull.c index 5795e66df466..1c732b39eacb 100644 --- a/polly/lib/External/isl/isl_convex_hull.c +++ b/polly/lib/External/isl/isl_convex_hull.c @@ -79,6 +79,11 @@ int isl_basic_set_constraint_is_redundant(struct isl_basic_set **bset, * constraints. If the minimal value along the normal of a constraint * is the same if the constraint is removed, then the constraint is redundant. * + * Since some constraints may be mutually redundant, sort the constraints + * first such that constraints that involve existentially quantified + * variables are considered for removal before those that do not. + * The sorting is also need for the use in map_simple_hull. + * * Alternatively, we could have intersected the basic map with the * corresponding equality and then checked if the dimension was that * of a facet. @@ -99,6 +104,7 @@ __isl_give isl_basic_map *isl_basic_map_remove_redundancies( if (bmap->n_ineq <= 1) return bmap; + bmap = isl_basic_map_sort_constraints(bmap); tab = isl_tab_from_basic_map(bmap, 0); if (isl_tab_detect_implicit_equalities(tab) < 0) goto error; @@ -2399,11 +2405,12 @@ static __isl_give isl_basic_map *cached_simple_hull(__isl_take isl_map *map, * by only (translates of) the constraints in the constituents of map. * Translation is only allowed if "shift" is set. * - * Sort the constraints before removing redundant constraints + * The constraints are sorted while removing redundant constraints * in order to indicate a preference of which constraints should * be preserved. In particular, pairs of constraints that are * sorted together are preferred to either both be preserved - * or both be removed. + * or both be removed. The sorting is performed inside + * isl_basic_map_remove_redundancies. * * The result of the computation is stored in map->cached_simple_hull[shift] * such that it can be reused in subsequent calls. The cache is cleared @@ -2444,7 +2451,6 @@ static __isl_give isl_basic_map *map_simple_hull(__isl_take isl_map *map, hull = isl_basic_map_overlying_set(bset, model); hull = isl_basic_map_intersect(hull, affine_hull); - hull = isl_basic_map_sort_constraints(hull); hull = isl_basic_map_remove_redundancies(hull); if (hull) { diff --git a/polly/lib/External/isl/isl_schedule_band.c b/polly/lib/External/isl/isl_schedule_band.c index c25d773864b4..f0d912173915 100644 --- a/polly/lib/External/isl/isl_schedule_band.c +++ b/polly/lib/External/isl/isl_schedule_band.c @@ -907,6 +907,57 @@ error: return NULL; } +/* Return the "isolate" option associated to "band", assuming + * it at appears at schedule depth "depth". + * + * The isolate option is of the form + * + * isolate[[flattened outer bands] -> band] + */ +__isl_give isl_set *isl_schedule_band_get_ast_isolate_option( + __isl_keep isl_schedule_band *band, int depth) +{ + isl_space *space; + isl_set *isolate; + + if (!band) + return NULL; + + space = isl_schedule_band_get_space(band); + space = isl_space_from_range(space); + space = isl_space_add_dims(space, isl_dim_in, depth); + space = isl_space_wrap(space); + space = isl_space_set_tuple_name(space, isl_dim_set, "isolate"); + + isolate = isl_union_set_extract_set(band->ast_build_options, space); + + return isolate; +} + +/* Replace the option "drop" in the AST build options by "add". + * That is, remove "drop" and add "add". + */ +__isl_give isl_schedule_band *isl_schedule_band_replace_ast_build_option( + __isl_take isl_schedule_band *band, __isl_take isl_set *drop, + __isl_take isl_set *add) +{ + isl_union_set *options; + + band = isl_schedule_band_cow(band); + if (!band) + return NULL; + + options = band->ast_build_options; + options = isl_union_set_subtract(options, isl_union_set_from_set(drop)); + options = isl_union_set_union(options, isl_union_set_from_set(add)); + band->ast_build_options = options; + + if (!band->ast_build_options) + return isl_schedule_band_free(band); + + return band; +} + /* Multiply the partial schedule of "band" with the factors in "mv". * Replace the result by its greatest integer part to ensure * that the schedule is always integral. @@ -1117,8 +1168,7 @@ error: * We apply the transformation even if "n" is zero to ensure consistent * behavior with respect to changes in the schedule space. * - * The loop AST generation types for the isolated part become - * meaningless after dropping dimensions, so we remove them. + * The caller is responsible for updating the isolate option. */ __isl_give isl_schedule_band *isl_schedule_band_drop( __isl_take isl_schedule_band *band, int pos, int n) @@ -1144,8 +1194,10 @@ __isl_give isl_schedule_band *isl_schedule_band_drop( if (band->loop_type) for (i = pos + n; i < band->n; ++i) band->loop_type[i - n] = band->loop_type[i]; - free(band->isolate_loop_type); - band->isolate_loop_type = NULL; + if (band->isolate_loop_type) + for (i = pos + n; i < band->n; ++i) + band->isolate_loop_type[i - n] = + band->isolate_loop_type[i]; band->n -= n; diff --git a/polly/lib/External/isl/isl_schedule_band.h b/polly/lib/External/isl/isl_schedule_band.h index bc58fbf58545..dcf16eb5d49c 100644 --- a/polly/lib/External/isl/isl_schedule_band.h +++ b/polly/lib/External/isl/isl_schedule_band.h @@ -80,6 +80,11 @@ __isl_give isl_union_set *isl_schedule_band_get_ast_build_options( __isl_keep isl_schedule_band *band); __isl_give isl_schedule_band *isl_schedule_band_set_ast_build_options( __isl_take isl_schedule_band *band, __isl_take isl_union_set *options); +__isl_give isl_set *isl_schedule_band_get_ast_isolate_option( + __isl_keep isl_schedule_band *band, int depth); +__isl_give isl_schedule_band *isl_schedule_band_replace_ast_build_option( + __isl_take isl_schedule_band *band, __isl_take isl_set *drop, + __isl_take isl_set *add); int isl_schedule_band_n_member(__isl_keep isl_schedule_band *band); isl_bool isl_schedule_band_member_get_coincident( diff --git a/polly/lib/External/isl/isl_schedule_node.c b/polly/lib/External/isl/isl_schedule_node.c index 61ee92493f92..a636d744722d 100644 --- a/polly/lib/External/isl/isl_schedule_node.c +++ b/polly/lib/External/isl/isl_schedule_node.c @@ -1670,6 +1670,20 @@ error: return NULL; } +/* Return the "isolate" option associated to band node "node". + */ +__isl_give isl_set *isl_schedule_node_band_get_ast_isolate_option( + __isl_keep isl_schedule_node *node) +{ + int depth; + + if (!node) + return NULL; + + depth = isl_schedule_node_get_schedule_depth(node); + return isl_schedule_tree_band_get_ast_isolate_option(node->tree, depth); +} + /* Make sure that that spaces of "node" and "mv" are the same. * Return -1 on error, reporting the error to the user. */ @@ -1945,14 +1959,18 @@ __isl_give isl_schedule_node *isl_schedule_node_band_sink( /* Split "node" into two nested band nodes, one with the first "pos" * dimensions and one with the remaining dimensions. * The schedules of the two band nodes live in anonymous spaces. + * The loop AST generation type options and the isolate option + * are split over the the two band nodes. */ __isl_give isl_schedule_node *isl_schedule_node_band_split( __isl_take isl_schedule_node *node, int pos) { + int depth; isl_schedule_tree *tree; + depth = isl_schedule_node_get_schedule_depth(node); tree = isl_schedule_node_get_tree(node); - tree = isl_schedule_tree_band_split(tree, pos); + tree = isl_schedule_tree_band_split(tree, pos, depth); return isl_schedule_node_graft_tree(node, tree); } diff --git a/polly/lib/External/isl/isl_schedule_tree.c b/polly/lib/External/isl/isl_schedule_tree.c index 4a5b67e23583..b764edd80735 100644 --- a/polly/lib/External/isl/isl_schedule_tree.c +++ b/polly/lib/External/isl/isl_schedule_tree.c @@ -1284,6 +1284,22 @@ error: return NULL; } +/* Return the "isolate" option associated to the band tree root of "tree", + * which is assumed to appear at schedule depth "depth". + */ +__isl_give isl_set *isl_schedule_tree_band_get_ast_isolate_option( + __isl_keep isl_schedule_tree *tree, int depth) +{ + if (!tree) + return NULL; + + if (tree->type != isl_schedule_node_band) + isl_die(isl_schedule_tree_get_ctx(tree), isl_error_invalid, + "not a band node", return NULL); + + return isl_schedule_band_get_ast_isolate_option(tree->band, depth); +} + /* Return the context of the context tree root. */ __isl_give isl_set *isl_schedule_tree_context_get_context( @@ -2164,14 +2180,95 @@ error: return NULL; } +/* Given an isolate AST generation option "isolate" for a band of size pos + n, + * return the corresponding option for a band covering the first "pos" + * members. + * + * The input isolate option is of the form + * + * isolate[[flattened outer bands] -> [pos; n]] + * + * The output isolate option is of the form + * + * isolate[[flattened outer bands] -> [pos]] + */ +static __isl_give isl_set *isolate_initial(__isl_keep isl_set *isolate, + int pos, int n) +{ + isl_id *id; + isl_map *map; + + isolate = isl_set_copy(isolate); + id = isl_set_get_tuple_id(isolate); + map = isl_set_unwrap(isolate); + map = isl_map_project_out(map, isl_dim_out, pos, n); + isolate = isl_map_wrap(map); + isolate = isl_set_set_tuple_id(isolate, id); + + return isolate; +} + +/* Given an isolate AST generation option "isolate" for a band of size pos + n, + * return the corresponding option for a band covering the final "n" + * members within a band covering the first "pos" members. + * + * The input isolate option is of the form + * + * isolate[[flattened outer bands] -> [pos; n]] + * + * The output isolate option is of the form + * + * isolate[[flattened outer bands; pos] -> [n]] + * + * + * The range is first split into + * + * isolate[[flattened outer bands] -> [[pos] -> [n]]] + * + * and then the first pos members are moved to the domain + * + * isolate[[[flattened outer bands] -> [pos]] -> [n]] + * + * after which the domain is flattened to obtain the desired output. + */ +static __isl_give isl_set *isolate_final(__isl_keep isl_set *isolate, + int pos, int n) +{ + isl_id *id; + isl_space *space; + isl_multi_aff *ma1, *ma2; + isl_map *map; + + isolate = isl_set_copy(isolate); + id = isl_set_get_tuple_id(isolate); + map = isl_set_unwrap(isolate); + space = isl_space_range(isl_map_get_space(map)); + ma1 = isl_multi_aff_project_out_map(isl_space_copy(space), + isl_dim_set, pos, n); + ma2 = isl_multi_aff_project_out_map(space, isl_dim_set, 0, pos); + ma1 = isl_multi_aff_range_product(ma1, ma2); + map = isl_map_apply_range(map, isl_map_from_multi_aff(ma1)); + map = isl_map_uncurry(map); + map = isl_map_flatten_domain(map); + isolate = isl_map_wrap(map); + isolate = isl_set_set_tuple_id(isolate, id); + + return isolate; +} + /* Split the band root node of "tree" into two nested band nodes, * one with the first "pos" dimensions and * one with the remaining dimensions. + * The tree is itself positioned at schedule depth "depth". + * + * The loop AST generation type options and the isolate option + * are split over the the two band nodes. */ __isl_give isl_schedule_tree *isl_schedule_tree_band_split( - __isl_take isl_schedule_tree *tree, int pos) + __isl_take isl_schedule_tree *tree, int pos, int depth) { int n; + isl_set *isolate, *tree_isolate, *child_isolate; isl_schedule_tree *child; if (!tree) @@ -2192,8 +2289,16 @@ __isl_give isl_schedule_tree *isl_schedule_tree_band_split( if (!tree || !child) goto error; + isolate = isl_schedule_tree_band_get_ast_isolate_option(tree, depth); + tree_isolate = isolate_initial(isolate, pos, n - pos); + child_isolate = isolate_final(isolate, pos, n - pos); child->band = isl_schedule_band_drop(child->band, 0, pos); + child->band = isl_schedule_band_replace_ast_build_option(child->band, + isl_set_copy(isolate), child_isolate); tree->band = isl_schedule_band_drop(tree->band, pos, n - pos); + tree->band = isl_schedule_band_replace_ast_build_option(tree->band, + isl_set_copy(isolate), tree_isolate); + isl_set_free(isolate); if (!child->band || !tree->band) goto error; diff --git a/polly/lib/External/isl/isl_schedule_tree.h b/polly/lib/External/isl/isl_schedule_tree.h index c996b721186e..9bb32c40b7c3 100644 --- a/polly/lib/External/isl/isl_schedule_tree.h +++ b/polly/lib/External/isl/isl_schedule_tree.h @@ -142,6 +142,8 @@ __isl_give isl_union_set *isl_schedule_tree_band_get_ast_build_options( __isl_keep isl_schedule_tree *tree); __isl_give isl_schedule_tree *isl_schedule_tree_band_set_ast_build_options( __isl_take isl_schedule_tree *tree, __isl_take isl_union_set *options); +__isl_give isl_set *isl_schedule_tree_band_get_ast_isolate_option( + __isl_keep isl_schedule_tree *tree, int depth); __isl_give isl_set *isl_schedule_tree_context_get_context( __isl_keep isl_schedule_tree *tree); __isl_give isl_union_set *isl_schedule_tree_domain_get_domain( @@ -230,7 +232,7 @@ __isl_give isl_schedule_tree *isl_schedule_tree_band_shift( __isl_take isl_schedule_tree *tree, __isl_take isl_multi_union_pw_aff *shift); __isl_give isl_schedule_tree *isl_schedule_tree_band_split( - __isl_take isl_schedule_tree *tree, int pos); + __isl_take isl_schedule_tree *tree, int pos, int depth); __isl_give isl_schedule_tree *isl_schedule_tree_band_gist( __isl_take isl_schedule_tree *tree, __isl_take isl_union_set *context); diff --git a/polly/lib/External/isl/isl_test.c b/polly/lib/External/isl/isl_test.c index 3d6720a30885..3f2b93f28f99 100644 --- a/polly/lib/External/isl/isl_test.c +++ b/polly/lib/External/isl/isl_test.c @@ -1839,6 +1839,31 @@ struct { }, { 1, "[n] -> { [a,b] : (exists e : 1 <= a <= 7e and 9e <= b <= n) or " "(0 <= a <= b <= n) }" }, + { 1, "{ [a, b] : 0 <= a <= 2 and b >= 0 and " + "((0 < b <= 13) or (2*floor((a + b)/2) >= -5 + a + 2b)) }" }, + { 1, "{ [a] : (2 <= a <= 5) or (a mod 2 = 1 and 1 <= a <= 5) }" }, + { 1, "{ [a, b, c] : (b = -1 + a and 0 < a <= 3 and " + "9*floor((-4a + 2c)/9) <= -3 - 4a + 2c) or " + "(exists (e0 = floor((-16 + 2c)/9): a = 4 and " + "b = 3 and 9e0 <= -19 + 2c)) }" }, + { 0, "{ [a, b, c] : (b <= 2 and b <= -2 + a) or " + "(b = -1 + a and 0 < a <= 3 and " + "9*floor((-4a + 2c)/9) <= -3 - 4a + 2c) or " + "(exists (e0 = floor((-16 + 2c)/9): a = 4 and " + "b = 3 and 9e0 <= -19 + 2c)) }" }, + { 1, "{ [y, x] : (x - y) mod 3 = 2 and 2 <= y <= 200 and 0 <= x <= 2;" + "[1, 0] }" }, + { 1, "{ [x, y] : (x - y) mod 3 = 2 and 2 <= y <= 200 and 0 <= x <= 2;" + "[0, 1] }" }, + { 1, "{ [1, y] : -1 <= y <= 1; [x, -x] : 0 <= x <= 1 }" }, + { 1, "{ [1, y] : 0 <= y <= 1; [x, -x] : 0 <= x <= 1 }" }, + { 1, "{ [x, y] : 0 <= x <= 10 and x - 4*floor(x/4) <= 1 and y <= 0; " + "[x, y] : 0 <= x <= 10 and x - 4*floor(x/4) > 1 and y <= 0; " + "[x, y] : 0 <= x <= 10 and x - 5*floor(x/5) <= 1 and 0 < y; " + "[x, y] : 0 <= x <= 10 and x - 5*floor(x/5) > 1 and 0 < y }" }, + { 1, "{ [x, 0] : 0 <= x <= 10 and x mod 2 = 0; " + "[x, 0] : 0 <= x <= 10 and x mod 2 = 1; " + "[x, y] : 0 <= x <= 10 and 1 <= y <= 10 }" }, }; /* A specialized coalescing test case that would result diff --git a/polly/lib/External/isl/test_inputs/codegen/correlation.c b/polly/lib/External/isl/test_inputs/codegen/correlation.c index 25d99e193113..f821db6c2687 100644 --- a/polly/lib/External/isl/test_inputs/codegen/correlation.c +++ b/polly/lib/External/isl/test_inputs/codegen/correlation.c @@ -1,53 +1,53 @@ for (int c0 = 0; c0 < m; c0 += 32) for (int c1 = (n >= 32 && m >= c0 + 2) || (m == 1 && c0 == 0) ? 0 : 32 * n - 32 * floord(31 * n + 31, 32); c1 <= ((n <= -1 && c0 == 0) || (m == 1 && n >= 0 && c0 == 0) ? max(0, n - 1) : n); c1 += 32) for (int c2 = c0; c2 <= (m >= 2 && c0 + 31 >= m && n >= c1 && c1 + 31 >= n ? 2 * m - 3 : (m >= 2 * c0 + 63 && c1 <= -32 && n >= c1 && c1 + 31 >= n) || (m >= c0 + 32 && 2 * c0 + 62 >= m && n >= c1 && c1 + 31 >= n) || (n >= 0 && c0 >= 32 && m >= 2 * c0 + 63 && c1 == n) || (m >= 63 && n >= 32 && c0 == 0 && c1 == n) ? 2 * c0 + 61 : m - 1); c2 += 32) { - if (c1 >= n) { - if (c0 == 0 && c1 == 0) + if (m >= 2) { + if (n <= 0 && c0 == 0 && c1 == 0) for (int c5 = 0; c5 <= min(31, m - c2 - 1); c5 += 1) S_14(c2 + c5); - if (c1 == n) - for (int c3 = max(0, (c2 / 2) - c0 + 1); c3 <= min(31, m - c0 - 1); c3 += 1) + if (n >= 0 && c1 == n) { + for (int c3 = max(0, (c2 / 2) - c0 + 1); c3 <= min(31, m - c0 - 2); c3 += 1) for (int c5 = max(0, c0 - c2 + c3); c5 <= min(31, 2 * c0 - c2 + 2 * c3 - 1); c5 += 1) S_29(-c0 + c2 - c3 + c5, c0 + c3); - } else if (c1 >= 0 && m >= c2 + 1) { - for (int c3 = 0; c3 <= min(min(31, m - c0 - 2), -c0 + c2 + 30); c3 += 1) { - for (int c4 = 0; c4 <= min(31, n - c1 - 1); c4 += 1) { - if (c0 == 0 && c2 == 0 && c3 == 0) { - if (c1 == 0 && c4 == 0) - S_14(0); - S_19(c1 + c4, 0); - } - for (int c5 = max(0, c0 - c2 + c3 + 1); c5 <= min(31, m - c2 - 1); c5 += 1) { - if (c0 == 0 && c1 == 0 && c3 == 0 && c4 == 0) - S_14(c2 + c5); - if (c0 == 0 && c3 == 0) - S_19(c1 + c4, c2 + c5); - S_27(c0 + c3, c2 + c5, c1 + c4); + } else if (n >= c1 + 1 && c1 >= 0 && c1 + 31 >= n && c2 >= m) { + for (int c3 = max(0, (c2 / 2) - c0 + 1); c3 <= min(31, m - c0 - 2); c3 += 1) + for (int c5 = 0; c5 <= min(31, 2 * c0 - c2 + 2 * c3 - 1); c5 += 1) + S_29(-c0 + c2 - c3 + c5, c0 + c3); + } else if (c1 <= -32 && n >= c1 && c1 + 31 >= n) { + for (int c3 = max(0, (c2 / 2) - c0 + 1); c3 <= min(31, m - c0 - 2); c3 += 1) + for (int c5 = max(0, c0 - c2 + c3); c5 <= min(31, 2 * c0 - c2 + 2 * c3 - 1); c5 += 1) + S_29(-c0 + c2 - c3 + c5, c0 + c3); + } else if (n >= c1 + 1 && c1 >= 0 && m >= c2 + 1) { + for (int c3 = 0; c3 <= min(min(31, m - c0 - 2), -c0 + c2 + 30); c3 += 1) { + for (int c4 = 0; c4 <= min(31, n - c1 - 1); c4 += 1) { + if (c0 == 0 && c2 == 0 && c3 == 0) { + if (c1 == 0 && c4 == 0) + S_14(0); + S_19(c1 + c4, 0); + } + for (int c5 = max(0, c0 - c2 + c3 + 1); c5 <= min(31, m - c2 - 1); c5 += 1) { + if (c0 == 0 && c1 == 0 && c3 == 0 && c4 == 0) + S_14(c2 + c5); + if (c0 == 0 && c3 == 0) + S_19(c1 + c4, c2 + c5); + S_27(c0 + c3, c2 + c5, c1 + c4); + } } + if (c1 + 31 >= n) + for (int c5 = max(0, c0 - c2 + c3); c5 <= min(31, 2 * c0 - c2 + 2 * c3 - 1); c5 += 1) + S_29(-c0 + c2 - c3 + c5, c0 + c3); } - if (c1 + 31 >= n) - for (int c5 = max(0, c0 - c2 + c3); c5 <= min(31, 2 * c0 - c2 + 2 * c3 - 1); c5 += 1) - S_29(-c0 + c2 - c3 + c5, c0 + c3); } - if (c0 + 31 >= m && c1 + 31 >= n && c2 == c0) { - for (int c5 = m - c0 - 1; c5 <= min(31, 2 * m - c0 - 3); c5 += 1) - S_29(-m + c0 + c5 + 1, m - 1); - } else if (m >= c0 + 32 && c1 + 31 >= n && c2 == c0) { + if (c0 + 32 >= m && n >= c1 && c1 + 31 >= n) { + for (int c5 = max(0, m - c2 - 1); c5 <= min(31, 2 * m - c2 - 3); c5 += 1) + S_29(-m + c2 + c5 + 1, m - 1); + } else if (m >= c0 + 33 && n >= c1 + 1 && c1 >= 0 && c1 + 31 >= n && c2 == c0) { S_29(0, c0 + 31); } - } else if (c1 + 31 >= n && c2 >= m) { - for (int c3 = max(0, (c2 / 2) - c0 + 1); c3 <= min(31, m - c0 - 1); c3 += 1) - for (int c5 = 0; c5 <= min(31, 2 * c0 - c2 + 2 * c3 - 1); c5 += 1) - S_29(-c0 + c2 - c3 + c5, c0 + c3); - } else if (c1 <= -32 && c1 + 31 >= n && m >= c2 + 1) { - for (int c3 = max(0, (c2 / 2) - c0 + 1); c3 <= min(31, m - c0 - 1); c3 += 1) - for (int c5 = max(0, c0 - c2 + c3); c5 <= min(31, 2 * c0 - c2 + 2 * c3 - 1); c5 += 1) - S_29(-c0 + c2 - c3 + c5, c0 + c3); - } - if (m == 1 && c0 == 0 && c1 >= 32 && c2 == 0) { + } else if (c1 >= 32 && c2 == 0) { for (int c4 = 0; c4 <= min(31, n - c1 - 1); c4 += 1) S_19(c1 + c4, 0); - } else if (m == 1 && n >= 1 && c0 == 0 && c1 == 0 && c2 == 0) { + } else if (c1 == 0 && c2 == 0) { S_14(0); for (int c4 = 0; c4 <= min(31, n - 1); c4 += 1) S_19(c4, 0); diff --git a/polly/lib/External/isl/test_inputs/codegen/hoist2.c b/polly/lib/External/isl/test_inputs/codegen/hoist2.c index 24cfc639166e..907652fa9558 100644 --- a/polly/lib/External/isl/test_inputs/codegen/hoist2.c +++ b/polly/lib/External/isl/test_inputs/codegen/hoist2.c @@ -1,3 +1,5 @@ for (int c0 = 1; c0 <= 5; c0 += 1) - for (int c1 = t1 - 64 * b + 64; c1 <= min(70, -((c0 - 1) % 2) - c0 + 73); c1 += 64) - A(c0, 64 * b + c1 - 8); + if (c0 <= 3 || (b == 1 && t1 + c0 >= 10) || (t1 == 5 && b == 1 && c0 == 4)) + for (int c1 = t1 - 64 * b + 64; c1 <= min(70, -c0 + 73); c1 += 64) + if (c0 <= 3 || (t1 + c0 >= 10 && c1 == t1) || c1 == 5) + A(c0, 64 * b + c1 - 8); diff --git a/polly/lib/External/isl/test_inputs/codegen/omega/lefur03-0.c b/polly/lib/External/isl/test_inputs/codegen/omega/lefur03-0.c index 5e3f4a6e9a47..8b61d263af4c 100644 --- a/polly/lib/External/isl/test_inputs/codegen/omega/lefur03-0.c +++ b/polly/lib/External/isl/test_inputs/codegen/omega/lefur03-0.c @@ -1,7 +1,7 @@ for (int c0 = 0; c0 <= 3; c0 += 1) - for (int c1 = max(2 * c0 - 3, c0 / 2); c1 <= min(3, c0 + 1); c1 += 1) + for (int c1 = max(0, 2 * c0 - 3); c1 <= min(3, c0 + 1); c1 += 1) for (int c2 = c0; c2 <= min(min(3, 2 * c0 - c1 + 1), 3 * c1 + 2); c2 += 1) - for (int c3 = max(max(max(0, c1 - (-c1 + 3) / 3), 2 * c0 - (c0 + c1 + 1) / 3 - 1), c2 + floord(3 * c1 - c2 - 1, 6)); c3 <= min(3, c0 + 1); c3 += 1) + for (int c3 = max(max(max(0, c1 - (-c1 + 3) / 3), c0 - (-c2 + 3) / 3), c2 + floord(3 * c1 - c2 - 1, 6)); c3 <= min(3, c0 + 1); c3 += 1) for (int c4 = max(max(max(max(-200 * c1 + 400 * c3 - 199, 250 * c3 + 1), 667 * c0 - 333 * c1 - (c0 + c1 + 3) / 3 - 332), 333 * c1 + c1 / 3), 333 * c2 + (c2 + 1) / 3); c4 <= min(min(min(min(1000, 500 * c0 + 499), -200 * c1 + 400 * c3 + 400), 333 * c2 - (-c2 + 3) / 3 + 333), 333 * c3 - (-c3 + 3) / 3 + 334); c4 += 1) for (int c5 = max(max(max(c4, 1000 * c0 - c4), 1000 * c3 - 2 * c4 + 2), 500 * c1 + (c4 + 1) / 2); c5 <= min(min(min(2 * c4 + 1, 1000 * c0 - c4 + 999), 1000 * c3 - 2 * c4 + 1001), 500 * c1 + (c4 + 1) / 2 + 499); c5 += 1) s0(c0, c1, c2, c3, c4, c5); diff --git a/polly/lib/External/isl/test_inputs/codegen/omega/lefur04-0.c b/polly/lib/External/isl/test_inputs/codegen/omega/lefur04-0.c index 4b99579554ee..d0046d928f4b 100644 --- a/polly/lib/External/isl/test_inputs/codegen/omega/lefur04-0.c +++ b/polly/lib/External/isl/test_inputs/codegen/omega/lefur04-0.c @@ -1,5 +1,5 @@ for (int c0 = 0; c0 <= 3; c0 += 1) - for (int c1 = max(0, 2 * c0 - 3); c1 <= min(3, c0 + 1); c1 += 1) + for (int c1 = max(0, 2 * c0 - 3); c1 <= min(c0 + 1, -c0 + 6); c1 += 1) for (int c2 = c0; c2 <= min(min(3, 2 * c0 - c1 + 1), 3 * c1 + 2); c2 += 1) for (int c3 = max(max(max(0, c1 - (-c1 + 3) / 3), c0 - (-c2 + 3) / 3), c2 + floord(3 * c1 - c2 - 1, 6)); c3 <= min(3, c0 + 1); c3 += 1) for (int c5 = max(max(max(max(0, 2 * c3 - 4), c1 - (-c1 + 3) / 3), c2 - (c2 + 3) / 3), c3 - (c3 + 3) / 3); c5 <= min(min(c1 + 1, c3), -c2 + 2 * c3 - (c2 + 3) / 3 + 2); c5 += 1) diff --git a/polly/lib/External/isl/test_inputs/codegen/omega/wak2-0.c b/polly/lib/External/isl/test_inputs/codegen/omega/wak2-0.c index 435a1b788bb3..96e9f194616e 100644 --- a/polly/lib/External/isl/test_inputs/codegen/omega/wak2-0.c +++ b/polly/lib/External/isl/test_inputs/codegen/omega/wak2-0.c @@ -1,25 +1,23 @@ -{ +if (c2 >= d2 + 1) { + for (int c0 = a1; c0 <= b1; c0 += 1) + for (int c1_0 = c1; c1_0 <= d1; c1_0 += 1) + s0(c0, c1_0); +} else { for (int c0 = a1; c0 <= min(b1, a2 - 1); c0 += 1) for (int c1_0 = c1; c1_0 <= d1; c1_0 += 1) s0(c0, c1_0); - if (c2 >= d2 + 1) { - for (int c0 = max(a1, a2); c0 <= min(b1, b2); c0 += 1) - for (int c1_0 = c1; c1_0 <= d1; c1_0 += 1) + for (int c0 = a2; c0 <= b2; c0 += 1) { + if (c0 >= a1 && b1 >= c0) + for (int c1_0 = c1; c1_0 <= min(d1, c2 - 1); c1_0 += 1) s0(c0, c1_0); - } else { - for (int c0 = a2; c0 <= b2; c0 += 1) { - if (c0 >= a1 && b1 >= c0) - for (int c1_0 = c1; c1_0 <= min(d1, c2 - 1); c1_0 += 1) - s0(c0, c1_0); - for (int c1_0 = c2; c1_0 <= d2; c1_0 += 1) { - if (c0 >= a1 && b1 >= c0 && c1_0 >= c1 && d1 >= c1_0) - s0(c0, c1_0); - s1(c0, c1_0); - } - if (c0 >= a1 && b1 >= c0) - for (int c1_0 = max(c1, d2 + 1); c1_0 <= d1; c1_0 += 1) - s0(c0, c1_0); + for (int c1_0 = c2; c1_0 <= d2; c1_0 += 1) { + if (c0 >= a1 && b1 >= c0 && c1_0 >= c1 && d1 >= c1_0) + s0(c0, c1_0); + s1(c0, c1_0); } + if (c0 >= a1 && b1 >= c0) + for (int c1_0 = max(c1, d2 + 1); c1_0 <= d1; c1_0 += 1) + s0(c0, c1_0); } for (int c0 = max(max(a1, a2), b2 + 1); c0 <= b1; c0 += 1) for (int c1_0 = c1; c1_0 <= d1; c1_0 += 1) diff --git a/polly/lib/External/isl/test_inputs/codegen/omega/wak2-1.c b/polly/lib/External/isl/test_inputs/codegen/omega/wak2-1.c index 0f5e74c0de76..b1f7286f280f 100644 --- a/polly/lib/External/isl/test_inputs/codegen/omega/wak2-1.c +++ b/polly/lib/External/isl/test_inputs/codegen/omega/wak2-1.c @@ -1,33 +1,31 @@ -{ +if (c2 >= d2 + 1) { + for (int c0 = a1; c0 <= b1; c0 += 1) + for (int c1_0 = c1; c1_0 <= d1; c1_0 += 1) + s0(c0, c1_0); +} else { for (int c0 = a1; c0 <= min(b1, a2 - 1); c0 += 1) for (int c1_0 = c1; c1_0 <= d1; c1_0 += 1) s0(c0, c1_0); - if (c2 >= d2 + 1) { - for (int c0 = max(a1, a2); c0 <= min(b1, b2); c0 += 1) - for (int c1_0 = c1; c1_0 <= d1; c1_0 += 1) + for (int c0 = a2; c0 <= b2; c0 += 1) { + if (a1 >= c0 + 1) { + for (int c1_0 = c2; c1_0 <= d2; c1_0 += 1) + s1(c0, c1_0); + } else if (c0 >= b1 + 1) { + for (int c1_0 = c2; c1_0 <= d2; c1_0 += 1) + s1(c0, c1_0); + } else { + for (int c1_0 = c1; c1_0 <= min(d1, c2 - 1); c1_0 += 1) s0(c0, c1_0); - } else { - for (int c0 = a2; c0 <= b2; c0 += 1) { - if (a1 >= c0 + 1) { - for (int c1_0 = c2; c1_0 <= d2; c1_0 += 1) - s1(c0, c1_0); - } else if (c0 >= b1 + 1) { - for (int c1_0 = c2; c1_0 <= d2; c1_0 += 1) - s1(c0, c1_0); - } else { - for (int c1_0 = c1; c1_0 <= min(d1, c2 - 1); c1_0 += 1) - s0(c0, c1_0); - for (int c1_0 = c2; c1_0 <= min(c1 - 1, d2); c1_0 += 1) - s1(c0, c1_0); - for (int c1_0 = max(c1, c2); c1_0 <= min(d1, d2); c1_0 += 1) { - s0(c0, c1_0); - s1(c0, c1_0); - } - for (int c1_0 = max(c1, d2 + 1); c1_0 <= d1; c1_0 += 1) - s0(c0, c1_0); - for (int c1_0 = max(max(c1, d1 + 1), c2); c1_0 <= d2; c1_0 += 1) - s1(c0, c1_0); + for (int c1_0 = c2; c1_0 <= min(c1 - 1, d2); c1_0 += 1) + s1(c0, c1_0); + for (int c1_0 = max(c1, c2); c1_0 <= min(d1, d2); c1_0 += 1) { + s0(c0, c1_0); + s1(c0, c1_0); } + for (int c1_0 = max(c1, d2 + 1); c1_0 <= d1; c1_0 += 1) + s0(c0, c1_0); + for (int c1_0 = max(max(c1, d1 + 1), c2); c1_0 <= d2; c1_0 += 1) + s1(c0, c1_0); } } for (int c0 = max(max(a1, a2), b2 + 1); c0 <= b1; c0 += 1) diff --git a/polly/lib/External/isl/test_inputs/codegen/unroll4.c b/polly/lib/External/isl/test_inputs/codegen/unroll4.c index 30b2ba8efa89..6d4c3411f4da 100644 --- a/polly/lib/External/isl/test_inputs/codegen/unroll4.c +++ b/polly/lib/External/isl/test_inputs/codegen/unroll4.c @@ -2,14 +2,14 @@ write_shared_A(3, ((t1 + 3) % 4) + 1, ((t2 + 31) % 32) + 1); if (t2 >= 1 && t2 <= 2 && t1 % 3 == 0) write_shared_A(3, (-t1 / 3) + 4, t2 + 32); - if ((t1 >= 1 && t1 <= 2 && t2 >= 3 && t2 <= 4) || ((-((t1 + 3) % 4) + t2 + 30) % 32) + t1 >= -4 * ((-t1 + 4) / 4) + 4) + if (((-((t1 + 3) % 4) + t2 + 30) % 32) + t1 >= ((t1 + 3) % 4) + ((t2 + 1) % 2) - 4 * ((-t1 + 4) / 4) + 1) write_shared_A(3, ((t1 + 3) % 4) + 5, -((((t1 + 3) % 4) - t2 + 33) % 32) + t1 + 4 * ((-t1 + 4) / 4) + 32); if (t1 >= 1 && t2 >= t1 + 1 && t2 <= 4) write_shared_A(3, t1 + 4, t2 + 32); write_shared_A(4, ((t1 + 3) % 4) + 1, ((t2 + 31) % 32) + 1); if (t2 >= 1 && t2 <= 2 && t1 % 3 == 0) write_shared_A(4, (-t1 / 3) + 4, t2 + 32); - if ((t1 >= 1 && t1 <= 2 && t2 >= 3 && t2 <= 4) || ((-((t1 + 3) % 4) + t2 + 30) % 32) + t1 >= -4 * ((-t1 + 4) / 4) + 4) + if (((-((t1 + 3) % 4) + t2 + 30) % 32) + t1 >= ((t1 + 3) % 4) + ((t2 + 1) % 2) - 4 * ((-t1 + 4) / 4) + 1) write_shared_A(4, ((t1 + 3) % 4) + 5, -((((t1 + 3) % 4) - t2 + 33) % 32) + t1 + 4 * ((-t1 + 4) / 4) + 32); if (t1 >= 1 && t2 >= t1 + 1 && t2 <= 4) write_shared_A(4, t1 + 4, t2 + 32); diff --git a/polly/lib/External/isl/test_inputs/codegen/unroll6.c b/polly/lib/External/isl/test_inputs/codegen/unroll6.c index 06010b1e57ca..1d8cc5eb771b 100644 --- a/polly/lib/External/isl/test_inputs/codegen/unroll6.c +++ b/polly/lib/External/isl/test_inputs/codegen/unroll6.c @@ -1,5 +1,5 @@ { - if (nn >= 128 * g + 6 && nn >= ((t1 + 127) % 128) + 128 * g + 3 && ((t1 + 127) % 128) + 128 * g >= 0) + if (g >= 0 && nn >= 128 * g + 6 && nn >= ((t1 + 127) % 128) + 128 * g + 3) for (int c1 = 393214; c1 < nn - 1; c1 += 393216) A(c1, ((t1 + 127) % 128) + 128 * g + 1, ((t1 + 127) % 128) + 1); if (t1 >= 1 && t1 <= 2 && nn >= t1 + 128 * g + 130 && t1 + 128 * g >= -127)