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author | Ben Cheng <bccheng@google.com> | 2014-03-25 22:37:19 -0700 |
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committer | Ben Cheng <bccheng@google.com> | 2014-03-25 22:37:19 -0700 |
commit | 1bc5aee63eb72b341f506ad058502cd0361f0d10 (patch) | |
tree | c607e8252f3405424ff15bc2d00aa38dadbb2518 /gcc-4.9/gcc/graphite-interchange.c | |
parent | 283a0bf58fcf333c58a2a92c3ebbc41fb9eb1fdb (diff) | |
download | toolchain_gcc-1bc5aee63eb72b341f506ad058502cd0361f0d10.tar.gz toolchain_gcc-1bc5aee63eb72b341f506ad058502cd0361f0d10.tar.bz2 toolchain_gcc-1bc5aee63eb72b341f506ad058502cd0361f0d10.zip |
Initial checkin of GCC 4.9.0 from trunk (r208799).
Change-Id: I48a3c08bb98542aa215912a75f03c0890e497dba
Diffstat (limited to 'gcc-4.9/gcc/graphite-interchange.c')
-rw-r--r-- | gcc-4.9/gcc/graphite-interchange.c | 650 |
1 files changed, 650 insertions, 0 deletions
diff --git a/gcc-4.9/gcc/graphite-interchange.c b/gcc-4.9/gcc/graphite-interchange.c new file mode 100644 index 000000000..55e3fab89 --- /dev/null +++ b/gcc-4.9/gcc/graphite-interchange.c @@ -0,0 +1,650 @@ +/* Interchange heuristics and transform for loop interchange on + polyhedral representation. + + Copyright (C) 2009-2014 Free Software Foundation, Inc. + Contributed by Sebastian Pop <sebastian.pop@amd.com> and + Harsha Jagasia <harsha.jagasia@amd.com>. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with GCC; see the file COPYING3. If not see +<http://www.gnu.org/licenses/>. */ + +#include "config.h" + +#ifdef HAVE_cloog +#include <isl/aff.h> +#include <isl/set.h> +#include <isl/map.h> +#include <isl/union_map.h> +#include <isl/ilp.h> +#include <cloog/cloog.h> +#include <cloog/isl/domain.h> +#endif + +#include "system.h" +#include "coretypes.h" +#include "tree.h" +#include "basic-block.h" +#include "tree-ssa-alias.h" +#include "internal-fn.h" +#include "gimple-expr.h" +#include "is-a.h" +#include "gimple.h" +#include "gimple-iterator.h" +#include "tree-ssa-loop.h" +#include "dumpfile.h" +#include "cfgloop.h" +#include "tree-chrec.h" +#include "tree-data-ref.h" +#include "tree-scalar-evolution.h" +#include "sese.h" + +#ifdef HAVE_cloog +#include "graphite-poly.h" + +/* XXX isl rewrite following comment */ +/* Builds a linear expression, of dimension DIM, representing PDR's + memory access: + + L = r_{n}*r_{n-1}*...*r_{1}*s_{0} + ... + r_{n}*s_{n-1} + s_{n}. + + For an array A[10][20] with two subscript locations s0 and s1, the + linear memory access is 20 * s0 + s1: a stride of 1 in subscript s0 + corresponds to a memory stride of 20. + + OFFSET is a number of dimensions to prepend before the + subscript dimensions: s_0, s_1, ..., s_n. + + Thus, the final linear expression has the following format: + 0 .. 0_{offset} | 0 .. 0_{nit} | 0 .. 0_{gd} | 0 | c_0 c_1 ... c_n + where the expression itself is: + c_0 * s_0 + c_1 * s_1 + ... c_n * s_n. */ + +static isl_constraint * +build_linearized_memory_access (isl_map *map, poly_dr_p pdr) +{ + isl_constraint *res; + isl_local_space *ls = isl_local_space_from_space (isl_map_get_space (map)); + unsigned offset, nsubs; + int i; + isl_int size, subsize; + + res = isl_equality_alloc (ls); + isl_int_init (size); + isl_int_set_ui (size, 1); + isl_int_init (subsize); + isl_int_set_ui (subsize, 1); + + nsubs = isl_set_dim (pdr->extent, isl_dim_set); + /* -1 for the already included L dimension. */ + offset = isl_map_dim (map, isl_dim_out) - 1 - nsubs; + res = isl_constraint_set_coefficient_si (res, isl_dim_out, offset + nsubs, -1); + /* Go through all subscripts from last to first. First dimension + is the alias set, ignore it. */ + for (i = nsubs - 1; i >= 1; i--) + { + isl_space *dc; + isl_aff *aff; + + res = isl_constraint_set_coefficient (res, isl_dim_out, offset + i, size); + + dc = isl_set_get_space (pdr->extent); + aff = isl_aff_zero_on_domain (isl_local_space_from_space (dc)); + aff = isl_aff_set_coefficient_si (aff, isl_dim_in, i, 1); + isl_set_max (pdr->extent, aff, &subsize); + isl_aff_free (aff); + isl_int_mul (size, size, subsize); + } + + isl_int_clear (subsize); + isl_int_clear (size); + + return res; +} + +/* Set STRIDE to the stride of PDR in memory by advancing by one in + the loop at DEPTH. */ + +static void +pdr_stride_in_loop (mpz_t stride, graphite_dim_t depth, poly_dr_p pdr) +{ + poly_bb_p pbb = PDR_PBB (pdr); + isl_map *map; + isl_set *set; + isl_aff *aff; + isl_space *dc; + isl_constraint *lma, *c; + isl_int islstride; + graphite_dim_t time_depth; + unsigned offset, nt; + unsigned i; + /* XXX isl rewrite following comments. */ + /* Builds a partial difference equations and inserts them + into pointset powerset polyhedron P. Polyhedron is assumed + to have the format: T|I|T'|I'|G|S|S'|l1|l2. + + TIME_DEPTH is the time dimension w.r.t. which we are + differentiating. + OFFSET represents the number of dimensions between + columns t_{time_depth} and t'_{time_depth}. + DIM_SCTR is the number of scattering dimensions. It is + essentially the dimensionality of the T vector. + + The following equations are inserted into the polyhedron P: + | t_1 = t_1' + | ... + | t_{time_depth-1} = t'_{time_depth-1} + | t_{time_depth} = t'_{time_depth} + 1 + | t_{time_depth+1} = t'_{time_depth + 1} + | ... + | t_{dim_sctr} = t'_{dim_sctr}. */ + + /* Add the equality: t_{time_depth} = t'_{time_depth} + 1. + This is the core part of this alogrithm, since this + constraint asks for the memory access stride (difference) + between two consecutive points in time dimensions. */ + + /* Add equalities: + | t1 = t1' + | ... + | t_{time_depth-1} = t'_{time_depth-1} + | t_{time_depth+1} = t'_{time_depth+1} + | ... + | t_{dim_sctr} = t'_{dim_sctr} + + This means that all the time dimensions are equal except for + time_depth, where the constraint is t_{depth} = t'_{depth} + 1 + step. More to this: we should be careful not to add equalities + to the 'coupled' dimensions, which happens when the one dimension + is stripmined dimension, and the other dimension corresponds + to the point loop inside stripmined dimension. */ + + /* pdr->accesses: [P1..nb_param,I1..nb_domain]->[a,S1..nb_subscript] + ??? [P] not used for PDRs? + pdr->extent: [a,S1..nb_subscript] + pbb->domain: [P1..nb_param,I1..nb_domain] + pbb->transformed: [P1..nb_param,I1..nb_domain]->[T1..Tnb_sctr] + [T] includes local vars (currently unused) + + First we create [P,I] -> [T,a,S]. */ + + map = isl_map_flat_range_product (isl_map_copy (pbb->transformed), + isl_map_copy (pdr->accesses)); + /* Add a dimension for L: [P,I] -> [T,a,S,L].*/ + map = isl_map_add_dims (map, isl_dim_out, 1); + /* Build a constraint for "lma[S] - L == 0", effectively calculating + L in terms of subscripts. */ + lma = build_linearized_memory_access (map, pdr); + /* And add it to the map, so we now have: + [P,I] -> [T,a,S,L] : lma([S]) == L. */ + map = isl_map_add_constraint (map, lma); + + /* Then we create [P,I,P',I'] -> [T,a,S,L,T',a',S',L']. */ + map = isl_map_flat_product (map, isl_map_copy (map)); + + /* Now add the equality T[time_depth] == T'[time_depth]+1. This will + force L' to be the linear address at T[time_depth] + 1. */ + time_depth = psct_dynamic_dim (pbb, depth); + /* Length of [a,S] plus [L] ... */ + offset = 1 + isl_map_dim (pdr->accesses, isl_dim_out); + /* ... plus [T]. */ + offset += isl_map_dim (pbb->transformed, isl_dim_out); + + c = isl_equality_alloc (isl_local_space_from_space (isl_map_get_space (map))); + c = isl_constraint_set_coefficient_si (c, isl_dim_out, time_depth, 1); + c = isl_constraint_set_coefficient_si (c, isl_dim_out, + offset + time_depth, -1); + c = isl_constraint_set_constant_si (c, 1); + map = isl_map_add_constraint (map, c); + + /* Now we equate most of the T/T' elements (making PITaSL nearly + the same is (PITaSL)', except for one dimension, namely for 'depth' + (an index into [I]), after translating to index into [T]. Take care + to not produce an empty map, which indicates we wanted to equate + two dimensions that are already coupled via the above time_depth + dimension. Happens with strip mining where several scatter dimension + are interdependend. */ + /* Length of [T]. */ + nt = pbb_nb_scattering_transform (pbb) + pbb_nb_local_vars (pbb); + for (i = 0; i < nt; i++) + if (i != time_depth) + { + isl_map *temp = isl_map_equate (isl_map_copy (map), + isl_dim_out, i, + isl_dim_out, offset + i); + if (isl_map_is_empty (temp)) + isl_map_free (temp); + else + { + isl_map_free (map); + map = temp; + } + } + + /* Now maximize the expression L' - L. */ + set = isl_map_range (map); + dc = isl_set_get_space (set); + aff = isl_aff_zero_on_domain (isl_local_space_from_space (dc)); + aff = isl_aff_set_coefficient_si (aff, isl_dim_in, offset - 1, -1); + aff = isl_aff_set_coefficient_si (aff, isl_dim_in, offset + offset - 1, 1); + isl_int_init (islstride); + isl_set_max (set, aff, &islstride); + isl_int_get_gmp (islstride, stride); + isl_int_clear (islstride); + isl_aff_free (aff); + isl_set_free (set); + + if (dump_file && (dump_flags & TDF_DETAILS)) + { + gmp_fprintf (dump_file, "\nStride in BB_%d, DR_%d, depth %d: %Zd ", + pbb_index (pbb), PDR_ID (pdr), (int) depth, stride); + } +} + +/* Sets STRIDES to the sum of all the strides of the data references + accessed in LOOP at DEPTH. */ + +static void +memory_strides_in_loop_1 (lst_p loop, graphite_dim_t depth, mpz_t strides) +{ + int i, j; + lst_p l; + poly_dr_p pdr; + mpz_t s, n; + + mpz_init (s); + mpz_init (n); + + FOR_EACH_VEC_ELT (LST_SEQ (loop), j, l) + if (LST_LOOP_P (l)) + memory_strides_in_loop_1 (l, depth, strides); + else + FOR_EACH_VEC_ELT (PBB_DRS (LST_PBB (l)), i, pdr) + { + pdr_stride_in_loop (s, depth, pdr); + mpz_set_si (n, PDR_NB_REFS (pdr)); + mpz_mul (s, s, n); + mpz_add (strides, strides, s); + } + + mpz_clear (s); + mpz_clear (n); +} + +/* Sets STRIDES to the sum of all the strides of the data references + accessed in LOOP at DEPTH. */ + +static void +memory_strides_in_loop (lst_p loop, graphite_dim_t depth, mpz_t strides) +{ + if (mpz_cmp_si (loop->memory_strides, -1) == 0) + { + mpz_set_si (strides, 0); + memory_strides_in_loop_1 (loop, depth, strides); + } + else + mpz_set (strides, loop->memory_strides); +} + +/* Return true when the interchange of loops LOOP1 and LOOP2 is + profitable. + + Example: + + | int a[100][100]; + | + | int + | foo (int N) + | { + | int j; + | int i; + | + | for (i = 0; i < N; i++) + | for (j = 0; j < N; j++) + | a[j][2 * i] += 1; + | + | return a[N][12]; + | } + + The data access A[j][i] is described like this: + + | i j N a s0 s1 1 + | 0 0 0 1 0 0 -5 = 0 + | 0 -1 0 0 1 0 0 = 0 + |-2 0 0 0 0 1 0 = 0 + | 0 0 0 0 1 0 0 >= 0 + | 0 0 0 0 0 1 0 >= 0 + | 0 0 0 0 -1 0 100 >= 0 + | 0 0 0 0 0 -1 100 >= 0 + + The linearized memory access L to A[100][100] is: + + | i j N a s0 s1 1 + | 0 0 0 0 100 1 0 + + TODO: the shown format is not valid as it does not show the fact + that the iteration domain "i j" is transformed using the scattering. + + Next, to measure the impact of iterating once in loop "i", we build + a maximization problem: first, we add to DR accesses the dimensions + k, s2, s3, L1 = 100 * s0 + s1, L2, and D1: this is the polyhedron P1. + L1 and L2 are the linearized memory access functions. + + | i j N a s0 s1 k s2 s3 L1 L2 D1 1 + | 0 0 0 1 0 0 0 0 0 0 0 0 -5 = 0 alias = 5 + | 0 -1 0 0 1 0 0 0 0 0 0 0 0 = 0 s0 = j + |-2 0 0 0 0 1 0 0 0 0 0 0 0 = 0 s1 = 2 * i + | 0 0 0 0 1 0 0 0 0 0 0 0 0 >= 0 + | 0 0 0 0 0 1 0 0 0 0 0 0 0 >= 0 + | 0 0 0 0 -1 0 0 0 0 0 0 0 100 >= 0 + | 0 0 0 0 0 -1 0 0 0 0 0 0 100 >= 0 + | 0 0 0 0 100 1 0 0 0 -1 0 0 0 = 0 L1 = 100 * s0 + s1 + + Then, we generate the polyhedron P2 by interchanging the dimensions + (s0, s2), (s1, s3), (L1, L2), (k, i) + + | i j N a s0 s1 k s2 s3 L1 L2 D1 1 + | 0 0 0 1 0 0 0 0 0 0 0 0 -5 = 0 alias = 5 + | 0 -1 0 0 0 0 0 1 0 0 0 0 0 = 0 s2 = j + | 0 0 0 0 0 0 -2 0 1 0 0 0 0 = 0 s3 = 2 * k + | 0 0 0 0 0 0 0 1 0 0 0 0 0 >= 0 + | 0 0 0 0 0 0 0 0 1 0 0 0 0 >= 0 + | 0 0 0 0 0 0 0 -1 0 0 0 0 100 >= 0 + | 0 0 0 0 0 0 0 0 -1 0 0 0 100 >= 0 + | 0 0 0 0 0 0 0 100 1 0 -1 0 0 = 0 L2 = 100 * s2 + s3 + + then we add to P2 the equality k = i + 1: + + |-1 0 0 0 0 0 1 0 0 0 0 0 -1 = 0 k = i + 1 + + and finally we maximize the expression "D1 = max (P1 inter P2, L2 - L1)". + + Similarly, to determine the impact of one iteration on loop "j", we + interchange (k, j), we add "k = j + 1", and we compute D2 the + maximal value of the difference. + + Finally, the profitability test is D1 < D2: if in the outer loop + the strides are smaller than in the inner loop, then it is + profitable to interchange the loops at DEPTH1 and DEPTH2. */ + +static bool +lst_interchange_profitable_p (lst_p nest, int depth1, int depth2) +{ + mpz_t d1, d2; + bool res; + + gcc_assert (depth1 < depth2); + + mpz_init (d1); + mpz_init (d2); + + memory_strides_in_loop (nest, depth1, d1); + memory_strides_in_loop (nest, depth2, d2); + + res = mpz_cmp (d1, d2) < 0; + + mpz_clear (d1); + mpz_clear (d2); + + return res; +} + +/* Interchanges the loops at DEPTH1 and DEPTH2 of the original + scattering and assigns the resulting polyhedron to the transformed + scattering. */ + +static void +pbb_interchange_loop_depths (graphite_dim_t depth1, graphite_dim_t depth2, + poly_bb_p pbb) +{ + unsigned i; + unsigned dim1 = psct_dynamic_dim (pbb, depth1); + unsigned dim2 = psct_dynamic_dim (pbb, depth2); + isl_space *d = isl_map_get_space (pbb->transformed); + isl_space *d1 = isl_space_range (d); + unsigned n = isl_space_dim (d1, isl_dim_out); + isl_space *d2 = isl_space_add_dims (d1, isl_dim_in, n); + isl_map *x = isl_map_universe (d2); + + x = isl_map_equate (x, isl_dim_in, dim1, isl_dim_out, dim2); + x = isl_map_equate (x, isl_dim_in, dim2, isl_dim_out, dim1); + + for (i = 0; i < n; i++) + if (i != dim1 && i != dim2) + x = isl_map_equate (x, isl_dim_in, i, isl_dim_out, i); + + pbb->transformed = isl_map_apply_range (pbb->transformed, x); +} + +/* Apply the interchange of loops at depths DEPTH1 and DEPTH2 to all + the statements below LST. */ + +static void +lst_apply_interchange (lst_p lst, int depth1, int depth2) +{ + if (!lst) + return; + + if (LST_LOOP_P (lst)) + { + int i; + lst_p l; + + FOR_EACH_VEC_ELT (LST_SEQ (lst), i, l) + lst_apply_interchange (l, depth1, depth2); + } + else + pbb_interchange_loop_depths (depth1, depth2, LST_PBB (lst)); +} + +/* Return true when the nest starting at LOOP1 and ending on LOOP2 is + perfect: i.e. there are no sequence of statements. */ + +static bool +lst_perfectly_nested_p (lst_p loop1, lst_p loop2) +{ + if (loop1 == loop2) + return true; + + if (!LST_LOOP_P (loop1)) + return false; + + return LST_SEQ (loop1).length () == 1 + && lst_perfectly_nested_p (LST_SEQ (loop1)[0], loop2); +} + +/* Transform the loop nest between LOOP1 and LOOP2 into a perfect + nest. To continue the naming tradition, this function is called + after perfect_nestify. NEST is set to the perfectly nested loop + that is created. BEFORE/AFTER are set to the loops distributed + before/after the loop NEST. */ + +static void +lst_perfect_nestify (lst_p loop1, lst_p loop2, lst_p *before, + lst_p *nest, lst_p *after) +{ + poly_bb_p first, last; + + gcc_assert (loop1 && loop2 + && loop1 != loop2 + && LST_LOOP_P (loop1) && LST_LOOP_P (loop2)); + + first = LST_PBB (lst_find_first_pbb (loop2)); + last = LST_PBB (lst_find_last_pbb (loop2)); + + *before = copy_lst (loop1); + *nest = copy_lst (loop1); + *after = copy_lst (loop1); + + lst_remove_all_before_including_pbb (*before, first, false); + lst_remove_all_before_including_pbb (*after, last, true); + + lst_remove_all_before_excluding_pbb (*nest, first, true); + lst_remove_all_before_excluding_pbb (*nest, last, false); + + if (lst_empty_p (*before)) + { + free_lst (*before); + *before = NULL; + } + if (lst_empty_p (*after)) + { + free_lst (*after); + *after = NULL; + } + if (lst_empty_p (*nest)) + { + free_lst (*nest); + *nest = NULL; + } +} + +/* Try to interchange LOOP1 with LOOP2 for all the statements of the + body of LOOP2. LOOP1 contains LOOP2. Return true if it did the + interchange. */ + +static bool +lst_try_interchange_loops (scop_p scop, lst_p loop1, lst_p loop2) +{ + int depth1 = lst_depth (loop1); + int depth2 = lst_depth (loop2); + lst_p transformed; + + lst_p before = NULL, nest = NULL, after = NULL; + + if (!lst_perfectly_nested_p (loop1, loop2)) + lst_perfect_nestify (loop1, loop2, &before, &nest, &after); + + if (!lst_interchange_profitable_p (loop2, depth1, depth2)) + return false; + + lst_apply_interchange (loop2, depth1, depth2); + + /* Sync the transformed LST information and the PBB scatterings + before using the scatterings in the data dependence analysis. */ + if (before || nest || after) + { + transformed = lst_substitute_3 (SCOP_TRANSFORMED_SCHEDULE (scop), loop1, + before, nest, after); + lst_update_scattering (transformed); + free_lst (transformed); + } + + if (graphite_legal_transform (scop)) + { + if (dump_file && (dump_flags & TDF_DETAILS)) + fprintf (dump_file, + "Loops at depths %d and %d will be interchanged.\n", + depth1, depth2); + + /* Transform the SCOP_TRANSFORMED_SCHEDULE of the SCOP. */ + lst_insert_in_sequence (before, loop1, true); + lst_insert_in_sequence (after, loop1, false); + + if (nest) + { + lst_replace (loop1, nest); + free_lst (loop1); + } + + return true; + } + + /* Undo the transform. */ + free_lst (before); + free_lst (nest); + free_lst (after); + lst_apply_interchange (loop2, depth2, depth1); + return false; +} + +/* Selects the inner loop in LST_SEQ (INNER_FATHER) to be interchanged + with the loop OUTER in LST_SEQ (OUTER_FATHER). */ + +static bool +lst_interchange_select_inner (scop_p scop, lst_p outer_father, int outer, + lst_p inner_father) +{ + int inner; + lst_p loop1, loop2; + + gcc_assert (outer_father + && LST_LOOP_P (outer_father) + && LST_LOOP_P (LST_SEQ (outer_father)[outer]) + && inner_father + && LST_LOOP_P (inner_father)); + + loop1 = LST_SEQ (outer_father)[outer]; + + FOR_EACH_VEC_ELT (LST_SEQ (inner_father), inner, loop2) + if (LST_LOOP_P (loop2) + && (lst_try_interchange_loops (scop, loop1, loop2) + || lst_interchange_select_inner (scop, outer_father, outer, loop2))) + return true; + + return false; +} + +/* Interchanges all the loops of LOOP and the loops of its body that + are considered profitable to interchange. Return the number of + interchanged loops. OUTER is the index in LST_SEQ (LOOP) that + points to the next outer loop to be considered for interchange. */ + +static int +lst_interchange_select_outer (scop_p scop, lst_p loop, int outer) +{ + lst_p l; + int res = 0; + int i = 0; + lst_p father; + + if (!loop || !LST_LOOP_P (loop)) + return 0; + + father = LST_LOOP_FATHER (loop); + if (father) + { + while (lst_interchange_select_inner (scop, father, outer, loop)) + { + res++; + loop = LST_SEQ (father)[outer]; + } + } + + if (LST_LOOP_P (loop)) + FOR_EACH_VEC_ELT (LST_SEQ (loop), i, l) + if (LST_LOOP_P (l)) + res += lst_interchange_select_outer (scop, l, i); + + return res; +} + +/* Interchanges all the loop depths that are considered profitable for + SCOP. Return the number of interchanged loops. */ + +int +scop_do_interchange (scop_p scop) +{ + int res = lst_interchange_select_outer + (scop, SCOP_TRANSFORMED_SCHEDULE (scop), 0); + + lst_update_scattering (SCOP_TRANSFORMED_SCHEDULE (scop)); + + return res; +} + + +#endif + |