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-/* Global, SSA-based optimizations using mathematical identities.
- Copyright (C) 2005 Free Software Foundation, Inc.
-
-This file is part of GCC.
-
-GCC is free software; you can redistribute it and/or modify it
-under the terms of the GNU General Public License as published by the
-Free Software Foundation; either version 2, or (at your option) any
-later version.
-
-GCC is distributed in the hope that it will be useful, but WITHOUT
-ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
-for more details.
-
-You should have received a copy of the GNU General Public License
-along with GCC; see the file COPYING. If not, write to the Free
-Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
-02110-1301, USA. */
-
-/* Currently, the only mini-pass in this file tries to CSE reciprocal
- operations. These are common in sequences such as this one:
-
- modulus = sqrt(x*x + y*y + z*z);
- x = x / modulus;
- y = y / modulus;
- z = z / modulus;
-
- that can be optimized to
-
- modulus = sqrt(x*x + y*y + z*z);
- rmodulus = 1.0 / modulus;
- x = x * rmodulus;
- y = y * rmodulus;
- z = z * rmodulus;
-
- We do this for loop invariant divisors, and with this pass whenever
- we notice that a division has the same divisor multiple times.
-
- Of course, like in PRE, we don't insert a division if a dominator
- already has one. However, this cannot be done as an extension of
- PRE for several reasons.
-
- First of all, with some experiments it was found out that the
- transformation is not always useful if there are only two divisions
- hy the same divisor. This is probably because modern processors
- can pipeline the divisions; on older, in-order processors it should
- still be effective to optimize two divisions by the same number.
- We make this a param, and it shall be called N in the remainder of
- this comment.
-
- Second, if trapping math is active, we have less freedom on where
- to insert divisions: we can only do so in basic blocks that already
- contain one. (If divisions don't trap, instead, we can insert
- divisions elsewhere, which will be in blocks that are common dominators
- of those that have the division).
-
- We really don't want to compute the reciprocal unless a division will
- be found. To do this, we won't insert the division in a basic block
- that has less than N divisions *post-dominating* it.
-
- The algorithm constructs a subset of the dominator tree, holding the
- blocks containing the divisions and the common dominators to them,
- and walk it twice. The first walk is in post-order, and it annotates
- each block with the number of divisions that post-dominate it: this
- gives information on where divisions can be inserted profitably.
- The second walk is in pre-order, and it inserts divisions as explained
- above, and replaces divisions by multiplications.
-
- In the best case, the cost of the pass is O(n_statements). In the
- worst-case, the cost is due to creating the dominator tree subset,
- with a cost of O(n_basic_blocks ^ 2); however this can only happen
- for n_statements / n_basic_blocks statements. So, the amortized cost
- of creating the dominator tree subset is O(n_basic_blocks) and the
- worst-case cost of the pass is O(n_statements * n_basic_blocks).
-
- More practically, the cost will be small because there are few
- divisions, and they tend to be in the same basic block, so insert_bb
- is called very few times.
-
- If we did this using domwalk.c, an efficient implementation would have
- to work on all the variables in a single pass, because we could not
- work on just a subset of the dominator tree, as we do now, and the
- cost would also be something like O(n_statements * n_basic_blocks).
- The data structures would be more complex in order to work on all the
- variables in a single pass. */
-
-#include "config.h"
-#include "system.h"
-#include "coretypes.h"
-#include "tm.h"
-#include "flags.h"
-#include "tree.h"
-#include "tree-flow.h"
-#include "real.h"
-#include "timevar.h"
-#include "tree-pass.h"
-#include "alloc-pool.h"
-#include "basic-block.h"
-#include "target.h"
-
-
-/* This structure represents one basic block that either computes a
- division, or is a common dominator for basic block that compute a
- division. */
-struct occurrence {
- /* The basic block represented by this structure. */
- basic_block bb;
-
- /* If non-NULL, the SSA_NAME holding the definition for a reciprocal
- inserted in BB. */
- tree recip_def;
-
- /* If non-NULL, the MODIFY_EXPR for a reciprocal computation that
- was inserted in BB. */
- tree recip_def_stmt;
-
- /* Pointer to a list of "struct occurrence"s for blocks dominated
- by BB. */
- struct occurrence *children;
-
- /* Pointer to the next "struct occurrence"s in the list of blocks
- sharing a common dominator. */
- struct occurrence *next;
-
- /* The number of divisions that are in BB before compute_merit. The
- number of divisions that are in BB or post-dominate it after
- compute_merit. */
- int num_divisions;
-
- /* True if the basic block has a division, false if it is a common
- dominator for basic blocks that do. If it is false and trapping
- math is active, BB is not a candidate for inserting a reciprocal. */
- bool bb_has_division;
-};
-
-
-/* The instance of "struct occurrence" representing the highest
- interesting block in the dominator tree. */
-static struct occurrence *occ_head;
-
-/* Allocation pool for getting instances of "struct occurrence". */
-static alloc_pool occ_pool;
-
-
-
-/* Allocate and return a new struct occurrence for basic block BB, and
- whose children list is headed by CHILDREN. */
-static struct occurrence *
-occ_new (basic_block bb, struct occurrence *children)
-{
- struct occurrence *occ;
-
- occ = bb->aux = pool_alloc (occ_pool);
- memset (occ, 0, sizeof (struct occurrence));
-
- occ->bb = bb;
- occ->children = children;
- return occ;
-}
-
-
-/* Insert NEW_OCC into our subset of the dominator tree. P_HEAD points to a
- list of "struct occurrence"s, one per basic block, having IDOM as
- their common dominator.
-
- We try to insert NEW_OCC as deep as possible in the tree, and we also
- insert any other block that is a common dominator for BB and one
- block already in the tree. */
-
-static void
-insert_bb (struct occurrence *new_occ, basic_block idom,
- struct occurrence **p_head)
-{
- struct occurrence *occ, **p_occ;
-
- for (p_occ = p_head; (occ = *p_occ) != NULL; )
- {
- basic_block bb = new_occ->bb, occ_bb = occ->bb;
- basic_block dom = nearest_common_dominator (CDI_DOMINATORS, occ_bb, bb);
- if (dom == bb)
- {
- /* BB dominates OCC_BB. OCC becomes NEW_OCC's child: remove OCC
- from its list. */
- *p_occ = occ->next;
- occ->next = new_occ->children;
- new_occ->children = occ;
-
- /* Try the next block (it may as well be dominated by BB). */
- }
-
- else if (dom == occ_bb)
- {
- /* OCC_BB dominates BB. Tail recurse to look deeper. */
- insert_bb (new_occ, dom, &occ->children);
- return;
- }
-
- else if (dom != idom)
- {
- gcc_assert (!dom->aux);
-
- /* There is a dominator between IDOM and BB, add it and make
- two children out of NEW_OCC and OCC. First, remove OCC from
- its list. */
- *p_occ = occ->next;
- new_occ->next = occ;
- occ->next = NULL;
-
- /* None of the previous blocks has DOM as a dominator: if we tail
- recursed, we would reexamine them uselessly. Just switch BB with
- DOM, and go on looking for blocks dominated by DOM. */
- new_occ = occ_new (dom, new_occ);
- }
-
- else
- {
- /* Nothing special, go on with the next element. */
- p_occ = &occ->next;
- }
- }
-
- /* No place was found as a child of IDOM. Make BB a sibling of IDOM. */
- new_occ->next = *p_head;
- *p_head = new_occ;
-}
-
-/* Register that we found a division in BB. */
-
-static inline void
-register_division_in (basic_block bb)
-{
- struct occurrence *occ;
-
- occ = (struct occurrence *) bb->aux;
- if (!occ)
- {
- occ = occ_new (bb, NULL);
- insert_bb (occ, ENTRY_BLOCK_PTR, &occ_head);
- }
-
- occ->bb_has_division = true;
- occ->num_divisions++;
-}
-
-
-/* Compute the number of divisions that postdominate each block in OCC and
- its children. */
-
-static void
-compute_merit (struct occurrence *occ)
-{
- struct occurrence *occ_child;
- basic_block dom = occ->bb;
-
- for (occ_child = occ->children; occ_child; occ_child = occ_child->next)
- {
- basic_block bb;
- if (occ_child->children)
- compute_merit (occ_child);
-
- if (flag_exceptions)
- bb = single_noncomplex_succ (dom);
- else
- bb = dom;
-
- if (dominated_by_p (CDI_POST_DOMINATORS, bb, occ_child->bb))
- occ->num_divisions += occ_child->num_divisions;
- }
-}
-
-
-/* Return whether USE_STMT is a floating-point division by DEF. */
-static inline bool
-is_division_by (tree use_stmt, tree def)
-{
- return TREE_CODE (use_stmt) == MODIFY_EXPR
- && TREE_CODE (TREE_OPERAND (use_stmt, 1)) == RDIV_EXPR
- && TREE_OPERAND (TREE_OPERAND (use_stmt, 1), 1) == def;
-}
-
-/* Walk the subset of the dominator tree rooted at OCC, setting the
- RECIP_DEF field to a definition of 1.0 / DEF that can be used in
- the given basic block. The field may be left NULL, of course,
- if it is not possible or profitable to do the optimization.
-
- DEF_BSI is an iterator pointing at the statement defining DEF.
- If RECIP_DEF is set, a dominator already has a computation that can
- be used. */
-
-static void
-insert_reciprocals (block_stmt_iterator *def_bsi, struct occurrence *occ,
- tree def, tree recip_def, int threshold)
-{
- tree type, new_stmt;
- block_stmt_iterator bsi;
- struct occurrence *occ_child;
-
- if (!recip_def
- && (occ->bb_has_division || !flag_trapping_math)
- && occ->num_divisions >= threshold)
- {
- /* Make a variable with the replacement and substitute it. */
- type = TREE_TYPE (def);
- recip_def = make_rename_temp (type, "reciptmp");
- new_stmt = build2 (MODIFY_EXPR, void_type_node, recip_def,
- fold_build2 (RDIV_EXPR, type, build_one_cst (type),
- def));
-
-
- if (occ->bb_has_division)
- {
- /* Case 1: insert before an existing division. */
- bsi = bsi_after_labels (occ->bb);
- while (!bsi_end_p (bsi) && !is_division_by (bsi_stmt (bsi), def))
- bsi_next (&bsi);
-
- bsi_insert_before (&bsi, new_stmt, BSI_SAME_STMT);
- }
- else if (def_bsi && occ->bb == def_bsi->bb)
- {
- /* Case 2: insert right after the definition. Note that this will
- never happen if the definition statement can throw, because in
- that case the sole successor of the statement's basic block will
- dominate all the uses as well. */
- bsi_insert_after (def_bsi, new_stmt, BSI_NEW_STMT);
- }
- else
- {
- /* Case 3: insert in a basic block not containing defs/uses. */
- bsi = bsi_after_labels (occ->bb);
- bsi_insert_before (&bsi, new_stmt, BSI_SAME_STMT);
- }
-
- occ->recip_def_stmt = new_stmt;
- }
-
- occ->recip_def = recip_def;
- for (occ_child = occ->children; occ_child; occ_child = occ_child->next)
- insert_reciprocals (def_bsi, occ_child, def, recip_def, threshold);
-}
-
-
-/* Replace the division at USE_P with a multiplication by the reciprocal, if
- possible. */
-
-static inline void
-replace_reciprocal (use_operand_p use_p)
-{
- tree use_stmt = USE_STMT (use_p);
- basic_block bb = bb_for_stmt (use_stmt);
- struct occurrence *occ = (struct occurrence *) bb->aux;
-
- if (occ->recip_def && use_stmt != occ->recip_def_stmt)
- {
- TREE_SET_CODE (TREE_OPERAND (use_stmt, 1), MULT_EXPR);
- SET_USE (use_p, occ->recip_def);
- fold_stmt_inplace (use_stmt);
- update_stmt (use_stmt);
- }
-}
-
-
-/* Free OCC and return one more "struct occurrence" to be freed. */
-
-static struct occurrence *
-free_bb (struct occurrence *occ)
-{
- struct occurrence *child, *next;
-
- /* First get the two pointers hanging off OCC. */
- next = occ->next;
- child = occ->children;
- occ->bb->aux = NULL;
- pool_free (occ_pool, occ);
-
- /* Now ensure that we don't recurse unless it is necessary. */
- if (!child)
- return next;
- else
- {
- while (next)
- next = free_bb (next);
-
- return child;
- }
-}
-
-
-/* Look for floating-point divisions among DEF's uses, and try to
- replace them by multiplications with the reciprocal. Add
- as many statements computing the reciprocal as needed.
-
- DEF must be a GIMPLE register of a floating-point type. */
-
-static void
-execute_cse_reciprocals_1 (block_stmt_iterator *def_bsi, tree def)
-{
- use_operand_p use_p;
- imm_use_iterator use_iter;
- struct occurrence *occ;
- int count = 0, threshold;
-
- gcc_assert (FLOAT_TYPE_P (TREE_TYPE (def)) && is_gimple_reg (def));
-
- FOR_EACH_IMM_USE_FAST (use_p, use_iter, def)
- {
- tree use_stmt = USE_STMT (use_p);
- if (is_division_by (use_stmt, def))
- {
- register_division_in (bb_for_stmt (use_stmt));
- count++;
- }
- }
-
- /* Do the expensive part only if we can hope to optimize something. */
- threshold = targetm.min_divisions_for_recip_mul (TYPE_MODE (TREE_TYPE (def)));
- if (count >= threshold)
- {
- tree use_stmt;
- for (occ = occ_head; occ; occ = occ->next)
- {
- compute_merit (occ);
- insert_reciprocals (def_bsi, occ, def, NULL, threshold);
- }
-
- FOR_EACH_IMM_USE_STMT (use_stmt, use_iter, def)
- {
- if (is_division_by (use_stmt, def))
- {
- FOR_EACH_IMM_USE_ON_STMT (use_p, use_iter)
- replace_reciprocal (use_p);
- }
- }
- }
-
- for (occ = occ_head; occ; )
- occ = free_bb (occ);
-
- occ_head = NULL;
-}
-
-
-static bool
-gate_cse_reciprocals (void)
-{
- return optimize && !optimize_size && flag_unsafe_math_optimizations;
-}
-
-
-/* Go through all the floating-point SSA_NAMEs, and call
- execute_cse_reciprocals_1 on each of them. */
-static unsigned int
-execute_cse_reciprocals (void)
-{
- basic_block bb;
- tree arg;
-
- occ_pool = create_alloc_pool ("dominators for recip",
- sizeof (struct occurrence),
- n_basic_blocks / 3 + 1);
-
- calculate_dominance_info (CDI_DOMINATORS);
- calculate_dominance_info (CDI_POST_DOMINATORS);
-
-#ifdef ENABLE_CHECKING
- FOR_EACH_BB (bb)
- gcc_assert (!bb->aux);
-#endif
-
- for (arg = DECL_ARGUMENTS (cfun->decl); arg; arg = TREE_CHAIN (arg))
- if (default_def (arg)
- && FLOAT_TYPE_P (TREE_TYPE (arg))
- && is_gimple_reg (arg))
- execute_cse_reciprocals_1 (NULL, default_def (arg));
-
- FOR_EACH_BB (bb)
- {
- block_stmt_iterator bsi;
- tree phi, def;
-
- for (phi = phi_nodes (bb); phi; phi = PHI_CHAIN (phi))
- {
- def = PHI_RESULT (phi);
- if (FLOAT_TYPE_P (TREE_TYPE (def))
- && is_gimple_reg (def))
- execute_cse_reciprocals_1 (NULL, def);
- }
-
- for (bsi = bsi_after_labels (bb); !bsi_end_p (bsi); bsi_next (&bsi))
- {
- tree stmt = bsi_stmt (bsi);
- if (TREE_CODE (stmt) == MODIFY_EXPR
- && (def = SINGLE_SSA_TREE_OPERAND (stmt, SSA_OP_DEF)) != NULL
- && FLOAT_TYPE_P (TREE_TYPE (def))
- && TREE_CODE (def) == SSA_NAME)
- execute_cse_reciprocals_1 (&bsi, def);
- }
- }
-
- free_dominance_info (CDI_DOMINATORS);
- free_dominance_info (CDI_POST_DOMINATORS);
- free_alloc_pool (occ_pool);
- return 0;
-}
-
-struct tree_opt_pass pass_cse_reciprocals =
-{
- "recip", /* name */
- gate_cse_reciprocals, /* gate */
- execute_cse_reciprocals, /* execute */
- NULL, /* sub */
- NULL, /* next */
- 0, /* static_pass_number */
- 0, /* tv_id */
- PROP_ssa, /* properties_required */
- 0, /* properties_provided */
- 0, /* properties_destroyed */
- 0, /* todo_flags_start */
- TODO_dump_func | TODO_update_ssa | TODO_verify_ssa
- | TODO_verify_stmts, /* todo_flags_finish */
- 0 /* letter */
-};