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/* Rtl-level induction variable analysis. Copyright (C) 2004, 2005, 2007 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 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/>. */ /* This is a simple analysis of induction variables of the loop. The major use is for determining the number of iterations of a loop for loop unrolling, doloop optimization and branch prediction. The iv information is computed on demand. Induction variable is analyzed by walking the use-def chains. When a biv is found, it is cached in the bivs hash table. When register is proved to be a giv, its description is stored to DF_REF_DATA of the def reference. The analysis works always with one loop -- you must call iv_analysis_loop_init (loop) for it. All the other functions then work with this loop. When you need to work with another loop, just call iv_analysis_loop_init for it. When you no longer need iv analysis, call iv_analysis_done () to clean up the memory. The available functions are: iv_analyze (insn, reg, iv): Stores the description of the induction variable corresponding to the use of register REG in INSN to IV. Returns true if REG is an induction variable in INSN. false otherwise. If use of REG is not found in INSN, following insns are scanned (so that we may call this function on insn returned by get_condition). iv_analyze_result (insn, def, iv): Stores to IV the description of the iv corresponding to DEF, which is a register defined in INSN. iv_analyze_expr (insn, rhs, mode, iv): Stores to IV the description of iv corresponding to expression EXPR evaluated at INSN. All registers used bu EXPR must also be used in INSN. iv_current_loop_df (): Returns the dataflow object for the current loop used by iv analysis. */ #include "config.h" #include "system.h" #include "coretypes.h" #include "tm.h" #include "rtl.h" #include "hard-reg-set.h" #include "obstack.h" #include "basic-block.h" #include "cfgloop.h" #include "expr.h" #include "intl.h" #include "output.h" #include "toplev.h" #include "df.h" #include "hashtab.h" /* Possible return values of iv_get_reaching_def. */ enum iv_grd_result { /* More than one reaching def, or reaching def that does not dominate the use. */ GRD_INVALID, /* The use is trivial invariant of the loop, i.e. is not changed inside the loop. */ GRD_INVARIANT, /* The use is reached by initial value and a value from the previous iteration. */ GRD_MAYBE_BIV, /* The use has single dominating def. */ GRD_SINGLE_DOM }; /* Information about a biv. */ struct biv_entry { unsigned regno; /* The register of the biv. */ struct rtx_iv iv; /* Value of the biv. */ }; /* Induction variable stored at the reference. */ #define DF_REF_IV(REF) ((struct rtx_iv *) DF_REF_DATA (REF)) #define DF_REF_IV_SET(REF, IV) DF_REF_DATA (REF) = (IV) /* The current loop. */ static struct loop *current_loop; /* Dataflow information for the current loop. */ static struct df *df = NULL; /* Bivs of the current loop. */ static htab_t bivs; /* Return the dataflow object for the current loop. */ struct df * iv_current_loop_df (void) { return df; } static bool iv_analyze_op (rtx, rtx, struct rtx_iv *); /* Dumps information about IV to FILE. */ extern void dump_iv_info (FILE *, struct rtx_iv *); void dump_iv_info (FILE *file, struct rtx_iv *iv) { if (!iv->base) { fprintf (file, "not simple"); return; } if (iv->step == const0_rtx && !iv->first_special) fprintf (file, "invariant "); print_rtl (file, iv->base); if (iv->step != const0_rtx) { fprintf (file, " + "); print_rtl (file, iv->step); fprintf (file, " * iteration"); } fprintf (file, " (in %s)", GET_MODE_NAME (iv->mode)); if (iv->mode != iv->extend_mode) fprintf (file, " %s to %s", rtx_name[iv->extend], GET_MODE_NAME (iv->extend_mode)); if (iv->mult != const1_rtx) { fprintf (file, " * "); print_rtl (file, iv->mult); } if (iv->delta != const0_rtx) { fprintf (file, " + "); print_rtl (file, iv->delta); } if (iv->first_special) fprintf (file, " (first special)"); } /* Generates a subreg to get the least significant part of EXPR (in mode INNER_MODE) to OUTER_MODE. */ rtx lowpart_subreg (enum machine_mode outer_mode, rtx expr, enum machine_mode inner_mode) { return simplify_gen_subreg (outer_mode, expr, inner_mode, subreg_lowpart_offset (outer_mode, inner_mode)); } /* Checks whether REG is a well-behaved register. */ static bool simple_reg_p (rtx reg) { unsigned r; if (GET_CODE (reg) == SUBREG) { if (!subreg_lowpart_p (reg)) return false; reg = SUBREG_REG (reg); } if (!REG_P (reg)) return false; r = REGNO (reg); if (HARD_REGISTER_NUM_P (r)) return false; if (GET_MODE_CLASS (GET_MODE (reg)) != MODE_INT) return false; return true; } /* Clears the information about ivs stored in df. */ static void clear_iv_info (void) { unsigned i, n_defs = DF_DEFS_SIZE (df); struct rtx_iv *iv; struct df_ref *def; for (i = 0; i < n_defs; i++) { def = DF_DEFS_GET (df, i); iv = DF_REF_IV (def); if (!iv) continue; free (iv); DF_REF_IV_SET (def, NULL); } htab_empty (bivs); } /* Returns hash value for biv B. */ static hashval_t biv_hash (const void *b) { return ((const struct biv_entry *) b)->regno; } /* Compares biv B and register R. */ static int biv_eq (const void *b, const void *r) { return ((const struct biv_entry *) b)->regno == REGNO ((rtx) r); } /* Prepare the data for an induction variable analysis of a LOOP. */ void iv_analysis_loop_init (struct loop *loop) { basic_block *body = get_loop_body_in_dom_order (loop), bb; bitmap blocks = BITMAP_ALLOC (NULL); unsigned i; bool first_time = (df == NULL); current_loop = loop; /* Clear the information from the analysis of the previous loop. */ if (first_time) { df = df_init (DF_HARD_REGS | DF_EQUIV_NOTES); df_chain_add_problem (df, DF_UD_CHAIN); bivs = htab_create (10, biv_hash, biv_eq, free); } else clear_iv_info (); for (i = 0; i < loop->num_nodes; i++) { bb = body[i]; bitmap_set_bit (blocks, bb->index); } df_set_blocks (df, blocks); df_analyze (df); BITMAP_FREE (blocks); free (body); } /* Finds the definition of REG that dominates loop latch and stores it to DEF. Returns false if there is not a single definition dominating the latch. If REG has no definition in loop, DEF is set to NULL and true is returned. */ static bool latch_dominating_def (rtx reg, struct df_ref **def) { struct df_ref *single_rd = NULL, *adef; unsigned regno = REGNO (reg); struct df_reg_info *reg_info = DF_REG_DEF_GET (df, regno); struct df_rd_bb_info *bb_info = DF_RD_BB_INFO (df, current_loop->latch); for (adef = reg_info->reg_chain; adef; adef = adef->next_reg) { if (!bitmap_bit_p (bb_info->out, DF_REF_ID (adef))) continue; /* More than one reaching definition. */ if (single_rd) return false; if (!just_once_each_iteration_p (current_loop, DF_REF_BB (adef))) return false; single_rd = adef; } *def = single_rd; return true; } /* Gets definition of REG reaching its use in INSN and stores it to DEF. */ static enum iv_grd_result iv_get_reaching_def (rtx insn, rtx reg, struct df_ref **def) { struct df_ref *use, *adef; basic_block def_bb, use_bb; rtx def_insn; bool dom_p; *def = NULL; if (!simple_reg_p (reg)) return GRD_INVALID; if (GET_CODE (reg) == SUBREG) reg = SUBREG_REG (reg); gcc_assert (REG_P (reg)); use = df_find_use (df, insn, reg); gcc_assert (use != NULL); if (!DF_REF_CHAIN (use)) return GRD_INVARIANT; /* More than one reaching def. */ if (DF_REF_CHAIN (use)->next) return GRD_INVALID; adef = DF_REF_CHAIN (use)->ref; def_insn = DF_REF_INSN (adef); def_bb = DF_REF_BB (adef); use_bb = BLOCK_FOR_INSN (insn); if (use_bb == def_bb) dom_p = (DF_INSN_LUID (df, def_insn) < DF_INSN_LUID (df, insn)); else dom_p = dominated_by_p (CDI_DOMINATORS, use_bb, def_bb); if (dom_p) { *def = adef; return GRD_SINGLE_DOM; } /* The definition does not dominate the use. This is still OK if this may be a use of a biv, i.e. if the def_bb dominates loop latch. */ if (just_once_each_iteration_p (current_loop, def_bb)) return GRD_MAYBE_BIV; return GRD_INVALID; } /* Sets IV to invariant CST in MODE. Always returns true (just for consistency with other iv manipulation functions that may fail). */ static bool iv_constant (struct rtx_iv *iv, rtx cst, enum machine_mode mode) { if (mode == VOIDmode) mode = GET_MODE (cst); iv->mode = mode; iv->base = cst; iv->step = const0_rtx; iv->first_special = false; iv->extend = UNKNOWN; iv->extend_mode = iv->mode; iv->delta = const0_rtx; iv->mult = const1_rtx; return true; } /* Evaluates application of subreg to MODE on IV. */ static bool iv_subreg (struct rtx_iv *iv, enum machine_mode mode) { /* If iv is invariant, just calculate the new value. */ if (iv->step == const0_rtx && !iv->first_special) { rtx val = get_iv_value (iv, const0_rtx); val = lowpart_subreg (mode, val, iv->extend_mode); iv->base = val; iv->extend = UNKNOWN; iv->mode = iv->extend_mode = mode; iv->delta = const0_rtx; iv->mult = const1_rtx; return true; } if (iv->extend_mode == mode) return true; if (GET_MODE_BITSIZE (mode) > GET_MODE_BITSIZE (iv->mode)) return false; iv->extend = UNKNOWN; iv->mode = mode; iv->base = simplify_gen_binary (PLUS, iv->extend_mode, iv->delta, simplify_gen_binary (MULT, iv->extend_mode, iv->base, iv->mult)); iv->step = simplify_gen_binary (MULT, iv->extend_mode, iv->step, iv->mult); iv->mult = const1_rtx; iv->delta = const0_rtx; iv->first_special = false; return true; } /* Evaluates application of EXTEND to MODE on IV. */ static bool iv_extend (struct rtx_iv *iv, enum rtx_code extend, enum machine_mode mode) { /* If iv is invariant, just calculate the new value. */ if (iv->step == const0_rtx && !iv->first_special) { rtx val = get_iv_value (iv, const0_rtx); val = simplify_gen_unary (extend, mode, val, iv->extend_mode); iv->base = val; iv->extend = UNKNOWN; iv->mode = iv->extend_mode = mode; iv->delta = const0_rtx; iv->mult = const1_rtx; return true; } if (mode != iv->extend_mode) return false; if (iv->extend != UNKNOWN && iv->extend != extend) return false; iv->extend = extend; return true; } /* Evaluates negation of IV. */ static bool iv_neg (struct rtx_iv *iv) { if (iv->extend == UNKNOWN) { iv->base = simplify_gen_unary (NEG, iv->extend_mode, iv->base, iv->extend_mode); iv->step = simplify_gen_unary (NEG, iv->extend_mode, iv->step, iv->extend_mode); } else { iv->delta = simplify_gen_unary (NEG, iv->extend_mode, iv->delta, iv->extend_mode); iv->mult = simplify_gen_unary (NEG, iv->extend_mode, iv->mult, iv->extend_mode); } return true; } /* Evaluates addition or subtraction (according to OP) of IV1 to IV0. */ static bool iv_add (struct rtx_iv *iv0, struct rtx_iv *iv1, enum rtx_code op) { enum machine_mode mode; rtx arg; /* Extend the constant to extend_mode of the other operand if necessary. */ if (iv0->extend == UNKNOWN && iv0->mode == iv0->extend_mode && iv0->step == const0_rtx && GET_MODE_SIZE (iv0->extend_mode) < GET_MODE_SIZE (iv1->extend_mode)) { iv0->extend_mode = iv1->extend_mode; iv0->base = simplify_gen_unary (ZERO_EXTEND, iv0->extend_mode, iv0->base, iv0->mode); } if (iv1->extend == UNKNOWN && iv1->mode == iv1->extend_mode && iv1->step == const0_rtx && GET_MODE_SIZE (iv1->extend_mode) < GET_MODE_SIZE (iv0->extend_mode)) { iv1->extend_mode = iv0->extend_mode; iv1->base = simplify_gen_unary (ZERO_EXTEND, iv1->extend_mode, iv1->base, iv1->mode); } mode = iv0->extend_mode; if (mode != iv1->extend_mode) return false; if (iv0->extend == UNKNOWN && iv1->extend == UNKNOWN) { if (iv0->mode != iv1->mode) return false; iv0->base = simplify_gen_binary (op, mode, iv0->base, iv1->base); iv0->step = simplify_gen_binary (op, mode, iv0->step, iv1->step); return true; } /* Handle addition of constant. */ if (iv1->extend == UNKNOWN && iv1->mode == mode && iv1->step == const0_rtx) { iv0->delta = simplify_gen_binary (op, mode, iv0->delta, iv1->base); return true; } if (iv0->extend == UNKNOWN && iv0->mode == mode && iv0->step == const0_rtx) { arg = iv0->base; *iv0 = *iv1; if (op == MINUS && !iv_neg (iv0)) return false; iv0->delta = simplify_gen_binary (PLUS, mode, iv0->delta, arg); return true; } return false; } /* Evaluates multiplication of IV by constant CST. */ static bool iv_mult (struct rtx_iv *iv, rtx mby) { enum machine_mode mode = iv->extend_mode; if (GET_MODE (mby) != VOIDmode && GET_MODE (mby) != mode) return false; if (iv->extend == UNKNOWN) { iv->base = simplify_gen_binary (MULT, mode, iv->base, mby); iv->step = simplify_gen_binary (MULT, mode, iv->step, mby); } else { iv->delta = simplify_gen_binary (MULT, mode, iv->delta, mby); iv->mult = simplify_gen_binary (MULT, mode, iv->mult, mby); } return true; } /* Evaluates shift of IV by constant CST. */ static bool iv_shift (struct rtx_iv *iv, rtx mby) { enum machine_mode mode = iv->extend_mode; if (GET_MODE (mby) != VOIDmode && GET_MODE (mby) != mode) return false; if (iv->extend == UNKNOWN) { iv->base = simplify_gen_binary (ASHIFT, mode, iv->base, mby); iv->step = simplify_gen_binary (ASHIFT, mode, iv->step, mby); } else { iv->delta = simplify_gen_binary (ASHIFT, mode, iv->delta, mby); iv->mult = simplify_gen_binary (ASHIFT, mode, iv->mult, mby); } return true; } /* The recursive part of get_biv_step. Gets the value of the single value defined by DEF wrto initial value of REG inside loop, in shape described at get_biv_step. */ static bool get_biv_step_1 (struct df_ref *def, rtx reg, rtx *inner_step, enum machine_mode *inner_mode, enum rtx_code *extend, enum machine_mode outer_mode, rtx *outer_step) { rtx set, rhs, op0 = NULL_RTX, op1 = NULL_RTX; rtx next, nextr, tmp; enum rtx_code code; rtx insn = DF_REF_INSN (def); struct df_ref *next_def; enum iv_grd_result res; set = single_set (insn); if (!set) return false; rhs = find_reg_equal_equiv_note (insn); if (rhs) rhs = XEXP (rhs, 0); else rhs = SET_SRC (set); code = GET_CODE (rhs); switch (code) { case SUBREG: case REG: next = rhs; break; case PLUS: case MINUS: op0 = XEXP (rhs, 0); op1 = XEXP (rhs, 1); if (code == PLUS && CONSTANT_P (op0)) { tmp = op0; op0 = op1; op1 = tmp; } if (!simple_reg_p (op0) || !CONSTANT_P (op1)) return false; if (GET_MODE (rhs) != outer_mode) { /* ppc64 uses expressions like (set x:SI (plus:SI (subreg:SI y:DI) 1)). this is equivalent to (set x':DI (plus:DI y:DI 1)) (set x:SI (subreg:SI (x':DI)). */ if (GET_CODE (op0) != SUBREG) return false; if (GET_MODE (SUBREG_REG (op0)) != outer_mode) return false; } next = op0; break; case SIGN_EXTEND: case ZERO_EXTEND: if (GET_MODE (rhs) != outer_mode) return false; op0 = XEXP (rhs, 0); if (!simple_reg_p (op0)) return false; next = op0; break; default: return false; } if (GET_CODE (next) == SUBREG) { if (!subreg_lowpart_p (next)) return false; nextr = SUBREG_REG (next); if (GET_MODE (nextr) != outer_mode) return false; } else nextr = next; res = iv_get_reaching_def (insn, nextr, &next_def); if (res == GRD_INVALID || res == GRD_INVARIANT) return false; if (res == GRD_MAYBE_BIV) { if (!rtx_equal_p (nextr, reg)) return false; *inner_step = const0_rtx; *extend = UNKNOWN; *inner_mode = outer_mode; *outer_step = const0_rtx; } else if (!get_biv_step_1 (next_def, reg, inner_step, inner_mode, extend, outer_mode, outer_step)) return false; if (GET_CODE (next) == SUBREG) { enum machine_mode amode = GET_MODE (next); if (GET_MODE_SIZE (amode) > GET_MODE_SIZE (*inner_mode)) return false; *inner_mode = amode; *inner_step = simplify_gen_binary (PLUS, outer_mode, *inner_step, *outer_step); *outer_step = const0_rtx; *extend = UNKNOWN; } switch (code) { case REG: case SUBREG: break; case PLUS: case MINUS: if (*inner_mode == outer_mode /* See comment in previous switch. */ || GET_MODE (rhs) != outer_mode) *inner_step = simplify_gen_binary (code, outer_mode, *inner_step, op1); else *outer_step = simplify_gen_binary (code, outer_mode, *outer_step, op1); break; case SIGN_EXTEND: case ZERO_EXTEND: gcc_assert (GET_MODE (op0) == *inner_mode && *extend == UNKNOWN && *outer_step == const0_rtx); *extend = code; break; default: return false; } return true; } /* Gets the operation on register REG inside loop, in shape OUTER_STEP + EXTEND_{OUTER_MODE} (SUBREG_{INNER_MODE} (REG + INNER_STEP)) If the operation cannot be described in this shape, return false. LAST_DEF is the definition of REG that dominates loop latch. */ static bool get_biv_step (struct df_ref *last_def, rtx reg, rtx *inner_step, enum machine_mode *inner_mode, enum rtx_code *extend, enum machine_mode *outer_mode, rtx *outer_step) { *outer_mode = GET_MODE (reg); if (!get_biv_step_1 (last_def, reg, inner_step, inner_mode, extend, *outer_mode, outer_step)) return false; gcc_assert ((*inner_mode == *outer_mode) != (*extend != UNKNOWN)); gcc_assert (*inner_mode != *outer_mode || *outer_step == const0_rtx); return true; } /* Records information that DEF is induction variable IV. */ static void record_iv (struct df_ref *def, struct rtx_iv *iv) { struct rtx_iv *recorded_iv = XNEW (struct rtx_iv); *recorded_iv = *iv; DF_REF_IV_SET (def, recorded_iv); } /* If DEF was already analyzed for bivness, store the description of the biv to IV and return true. Otherwise return false. */ static bool analyzed_for_bivness_p (rtx def, struct rtx_iv *iv) { struct biv_entry *biv = htab_find_with_hash (bivs, def, REGNO (def)); if (!biv) return false; *iv = biv->iv; return true; } static void record_biv (rtx def, struct rtx_iv *iv) { struct biv_entry *biv = XNEW (struct biv_entry); void **slot = htab_find_slot_with_hash (bivs, def, REGNO (def), INSERT); biv->regno = REGNO (def); biv->iv = *iv; gcc_assert (!*slot); *slot = biv; } /* Determines whether DEF is a biv and if so, stores its description to *IV. */ static bool iv_analyze_biv (rtx def, struct rtx_iv *iv) { rtx inner_step, outer_step; enum machine_mode inner_mode, outer_mode; enum rtx_code extend; struct df_ref *last_def; if (dump_file) { fprintf (dump_file, "Analyzing "); print_rtl (dump_file, def); fprintf (dump_file, " for bivness.\n"); } if (!REG_P (def)) { if (!CONSTANT_P (def)) return false; return iv_constant (iv, def, VOIDmode); } if (!latch_dominating_def (def, &last_def)) { if (dump_file) fprintf (dump_file, " not simple.\n"); return false; } if (!last_def) return iv_constant (iv, def, VOIDmode); if (analyzed_for_bivness_p (def, iv)) { if (dump_file) fprintf (dump_file, " already analysed.\n"); return iv->base != NULL_RTX; } if (!get_biv_step (last_def, def, &inner_step, &inner_mode, &extend, &outer_mode, &outer_step)) { iv->base = NULL_RTX; goto end; } /* Loop transforms base to es (base + inner_step) + outer_step, where es means extend of subreg between inner_mode and outer_mode. The corresponding induction variable is es ((base - outer_step) + i * (inner_step + outer_step)) + outer_step */ iv->base = simplify_gen_binary (MINUS, outer_mode, def, outer_step); iv->step = simplify_gen_binary (PLUS, outer_mode, inner_step, outer_step); iv->mode = inner_mode; iv->extend_mode = outer_mode; iv->extend = extend; iv->mult = const1_rtx; iv->delta = outer_step; iv->first_special = inner_mode != outer_mode; end: if (dump_file) { fprintf (dump_file, " "); dump_iv_info (dump_file, iv); fprintf (dump_file, "\n"); } record_biv (def, iv); return iv->base != NULL_RTX; } /* Analyzes expression RHS used at INSN and stores the result to *IV. The mode of the induction variable is MODE. */ bool iv_analyze_expr (rtx insn, rtx rhs, enum machine_mode mode, struct rtx_iv *iv) { rtx mby = NULL_RTX, tmp; rtx op0 = NULL_RTX, op1 = NULL_RTX; struct rtx_iv iv0, iv1; enum rtx_code code = GET_CODE (rhs); enum machine_mode omode = mode; iv->mode = VOIDmode; iv->base = NULL_RTX; iv->step = NULL_RTX; gcc_assert (GET_MODE (rhs) == mode || GET_MODE (rhs) == VOIDmode); if (CONSTANT_P (rhs) || REG_P (rhs) || code == SUBREG) { if (!iv_analyze_op (insn, rhs, iv)) return false; if (iv->mode == VOIDmode) { iv->mode = mode; iv->extend_mode = mode; } return true; } switch (code) { case REG: op0 = rhs; break; case SIGN_EXTEND: case ZERO_EXTEND: case NEG: op0 = XEXP (rhs, 0); omode = GET_MODE (op0); break; case PLUS: case MINUS: op0 = XEXP (rhs, 0); op1 = XEXP (rhs, 1); break; case MULT: op0 = XEXP (rhs, 0); mby = XEXP (rhs, 1); if (!CONSTANT_P (mby)) { tmp = op0; op0 = mby; mby = tmp; } if (!CONSTANT_P (mby)) return false; break; case ASHIFT: op0 = XEXP (rhs, 0); mby = XEXP (rhs, 1); if (!CONSTANT_P (mby)) return false; break; default: return false; } if (op0 && !iv_analyze_expr (insn, op0, omode, &iv0)) return false; if (op1 && !iv_analyze_expr (insn, op1, omode, &iv1)) return false; switch (code) { case SIGN_EXTEND: case ZERO_EXTEND: if (!iv_extend (&iv0, code, mode)) return false; break; case NEG: if (!iv_neg (&iv0)) return false; break; case PLUS: case MINUS: if (!iv_add (&iv0, &iv1, code)) return false; break; case MULT: if (!iv_mult (&iv0, mby)) return false; break; case ASHIFT: if (!iv_shift (&iv0, mby)) return false; break; default: break; } *iv = iv0; return iv->base != NULL_RTX; } /* Analyzes iv DEF and stores the result to *IV. */ static bool iv_analyze_def (struct df_ref *def, struct rtx_iv *iv) { rtx insn = DF_REF_INSN (def); rtx reg = DF_REF_REG (def); rtx set, rhs; if (dump_file) { fprintf (dump_file, "Analysing def of "); print_rtl (dump_file, reg); fprintf (dump_file, " in insn "); print_rtl_single (dump_file, insn); } if (DF_REF_IV (def)) { if (dump_file) fprintf (dump_file, " already analysed.\n"); *iv = *DF_REF_IV (def); return iv->base != NULL_RTX; } iv->mode = VOIDmode; iv->base = NULL_RTX; iv->step = NULL_RTX; set = single_set (insn); if (!set || SET_DEST (set) != reg) return false; rhs = find_reg_equal_equiv_note (insn); if (rhs) rhs = XEXP (rhs, 0); else rhs = SET_SRC (set); iv_analyze_expr (insn, rhs, GET_MODE (reg), iv); record_iv (def, iv); if (dump_file) { print_rtl (dump_file, reg); fprintf (dump_file, " in insn "); print_rtl_single (dump_file, insn); fprintf (dump_file, " is "); dump_iv_info (dump_file, iv); fprintf (dump_file, "\n"); } return iv->base != NULL_RTX; } /* Analyzes operand OP of INSN and stores the result to *IV. */ static bool iv_analyze_op (rtx insn, rtx op, struct rtx_iv *iv) { struct df_ref *def = NULL; enum iv_grd_result res; if (dump_file) { fprintf (dump_file, "Analysing operand "); print_rtl (dump_file, op); fprintf (dump_file, " of insn "); print_rtl_single (dump_file, insn); } if (CONSTANT_P (op)) res = GRD_INVARIANT; else if (GET_CODE (op) == SUBREG) { if (!subreg_lowpart_p (op)) return false; if (!iv_analyze_op (insn, SUBREG_REG (op), iv)) return false; return iv_subreg (iv, GET_MODE (op)); } else { res = iv_get_reaching_def (insn, op, &def); if (res == GRD_INVALID) { if (dump_file) fprintf (dump_file, " not simple.\n"); return false; } } if (res == GRD_INVARIANT) { iv_constant (iv, op, VOIDmode); if (dump_file) { fprintf (dump_file, " "); dump_iv_info (dump_file, iv); fprintf (dump_file, "\n"); } return true; } if (res == GRD_MAYBE_BIV) return iv_analyze_biv (op, iv); return iv_analyze_def (def, iv); } /* Analyzes value VAL at INSN and stores the result to *IV. */ bool iv_analyze (rtx insn, rtx val, struct rtx_iv *iv) { rtx reg; /* We must find the insn in that val is used, so that we get to UD chains. Since the function is sometimes called on result of get_condition, this does not necessarily have to be directly INSN; scan also the following insns. */ if (simple_reg_p (val)) { if (GET_CODE (val) == SUBREG) reg = SUBREG_REG (val); else reg = val; while (!df_find_use (df, insn, reg)) insn = NEXT_INSN (insn); } return iv_analyze_op (insn, val, iv); } /* Analyzes definition of DEF in INSN and stores the result to IV. */ bool iv_analyze_result (rtx insn, rtx def, struct rtx_iv *iv) { struct df_ref *adef; adef = df_find_def (df, insn, def); if (!adef) return false; return iv_analyze_def (adef, iv); } /* Checks whether definition of register REG in INSN is a basic induction variable. IV analysis must have been initialized (via a call to iv_analysis_loop_init) for this function to produce a result. */ bool biv_p (rtx insn, rtx reg) { struct rtx_iv iv; struct df_ref *def, *last_def; if (!simple_reg_p (reg)) return false; def = df_find_def (df, insn, reg); gcc_assert (def != NULL); if (!latch_dominating_def (reg, &last_def)) return false; if (last_def != def) return false; if (!iv_analyze_biv (reg, &iv)) return false; return iv.step != const0_rtx; } /* Calculates value of IV at ITERATION-th iteration. */ rtx get_iv_value (struct rtx_iv *iv, rtx iteration) { rtx val; /* We would need to generate some if_then_else patterns, and so far it is not needed anywhere. */ gcc_assert (!iv->first_special); if (iv->step != const0_rtx && iteration != const0_rtx) val = simplify_gen_binary (PLUS, iv->extend_mode, iv->base, simplify_gen_binary (MULT, iv->extend_mode, iv->step, iteration)); else val = iv->base; if (iv->extend_mode == iv->mode) return val; val = lowpart_subreg (iv->mode, val, iv->extend_mode); if (iv->extend == UNKNOWN) return val; val = simplify_gen_unary (iv->extend, iv->extend_mode, val, iv->mode); val = simplify_gen_binary (PLUS, iv->extend_mode, iv->delta, simplify_gen_binary (MULT, iv->extend_mode, iv->mult, val)); return val; } /* Free the data for an induction variable analysis. */ void iv_analysis_done (void) { if (df) { clear_iv_info (); df_finish (df); df = NULL; htab_delete (bivs); bivs = NULL; } } /* Computes inverse to X modulo (1 << MOD). */ static unsigned HOST_WIDEST_INT inverse (unsigned HOST_WIDEST_INT x, int mod) { unsigned HOST_WIDEST_INT mask = ((unsigned HOST_WIDEST_INT) 1 << (mod - 1) << 1) - 1; unsigned HOST_WIDEST_INT rslt = 1; int i; for (i = 0; i < mod - 1; i++) { rslt = (rslt * x) & mask; x = (x * x) & mask; } return rslt; } /* Tries to estimate the maximum number of iterations. */ static unsigned HOST_WIDEST_INT determine_max_iter (struct niter_desc *desc) { rtx niter = desc->niter_expr; rtx mmin, mmax, left, right; unsigned HOST_WIDEST_INT nmax, inc; if (GET_CODE (niter) == AND && GET_CODE (XEXP (niter, 0)) == CONST_INT) { nmax = INTVAL (XEXP (niter, 0)); if (!(nmax & (nmax + 1))) { desc->niter_max = nmax; return nmax; } } get_mode_bounds (desc->mode, desc->signed_p, desc->mode, &mmin, &mmax); nmax = INTVAL (mmax) - INTVAL (mmin); if (GET_CODE (niter) == UDIV) { if (GET_CODE (XEXP (niter, 1)) != CONST_INT) { desc->niter_max = nmax; return nmax; } inc = INTVAL (XEXP (niter, 1)); niter = XEXP (niter, 0); } else inc = 1; if (GET_CODE (niter) == PLUS) { left = XEXP (niter, 0); right = XEXP (niter, 0); if (GET_CODE (right) == CONST_INT) right = GEN_INT (-INTVAL (right)); } else if (GET_CODE (niter) == MINUS) { left = XEXP (niter, 0); right = XEXP (niter, 0); } else { left = niter; right = mmin; } if (GET_CODE (left) == CONST_INT) mmax = left; if (GET_CODE (right) == CONST_INT) mmin = right; nmax = INTVAL (mmax) - INTVAL (mmin); desc->niter_max = nmax / inc; return nmax / inc; } /* Checks whether register *REG is in set ALT. Callback for for_each_rtx. */ static int altered_reg_used (rtx *reg, void *alt) { if (!REG_P (*reg)) return 0; return REGNO_REG_SET_P (alt, REGNO (*reg)); } /* Marks registers altered by EXPR in set ALT. */ static void mark_altered (rtx expr, rtx by ATTRIBUTE_UNUSED, void *alt) { if (GET_CODE (expr) == SUBREG) expr = SUBREG_REG (expr); if (!REG_P (expr)) return; SET_REGNO_REG_SET (alt, REGNO (expr)); } /* Checks whether RHS is simple enough to process. */ static bool simple_rhs_p (rtx rhs) { rtx op0, op1; if (CONSTANT_P (rhs) || REG_P (rhs)) return true; switch (GET_CODE (rhs)) { case PLUS: case MINUS: op0 = XEXP (rhs, 0); op1 = XEXP (rhs, 1); /* Allow reg + const sets only. */ if (REG_P (op0) && CONSTANT_P (op1)) return true; if (REG_P (op1) && CONSTANT_P (op0)) return true; return false; default: return false; } } /* Simplifies *EXPR using assignment in INSN. ALTERED is the set of registers altered so far. */ static void simplify_using_assignment (rtx insn, rtx *expr, regset altered) { rtx set = single_set (insn); rtx lhs = NULL_RTX, rhs; bool ret = false; if (set) { lhs = SET_DEST (set); if (!REG_P (lhs) || altered_reg_used (&lhs, altered)) ret = true; } else ret = true; note_stores (PATTERN (insn), mark_altered, altered); if (CALL_P (insn)) { int i; /* Kill all call clobbered registers. */ for (i = 0; i < FIRST_PSEUDO_REGISTER; i++) if (TEST_HARD_REG_BIT (regs_invalidated_by_call, i)) SET_REGNO_REG_SET (altered, i); } if (ret) return; rhs = find_reg_equal_equiv_note (insn); if (rhs) rhs = XEXP (rhs, 0); else rhs = SET_SRC (set); if (!simple_rhs_p (rhs)) return; if (for_each_rtx (&rhs, altered_reg_used, altered)) return; *expr = simplify_replace_rtx (*expr, lhs, rhs); } /* Checks whether A implies B. */ static bool implies_p (rtx a, rtx b) { rtx op0, op1, opb0, opb1, r; enum machine_mode mode; if (GET_CODE (a) == EQ) { op0 = XEXP (a, 0); op1 = XEXP (a, 1); if (REG_P (op0)) { r = simplify_replace_rtx (b, op0, op1); if (r == const_true_rtx) return true; } if (REG_P (op1)) { r = simplify_replace_rtx (b, op1, op0); if (r == const_true_rtx) return true; } } /* A < B implies A + 1 <= B. */ if ((GET_CODE (a) == GT || GET_CODE (a) == LT) && (GET_CODE (b) == GE || GET_CODE (b) == LE)) { op0 = XEXP (a, 0); op1 = XEXP (a, 1); opb0 = XEXP (b, 0); opb1 = XEXP (b, 1); if (GET_CODE (a) == GT) { r = op0; op0 = op1; op1 = r; } if (GET_CODE (b) == GE) { r = opb0; opb0 = opb1; opb1 = r; } mode = GET_MODE (op0); if (mode != GET_MODE (opb0)) mode = VOIDmode; else if (mode == VOIDmode) { mode = GET_MODE (op1); if (mode != GET_MODE (opb1)) mode = VOIDmode; } if (SCALAR_INT_MODE_P (mode) && rtx_equal_p (op1, opb1) && simplify_gen_binary (MINUS, mode, opb0, op0) == const1_rtx) return true; } return false; } /* Canonicalizes COND so that (1) Ensure that operands are ordered according to swap_commutative_operands_p. (2) (LE x const) will be replaced with (LT x <const+1>) and similarly for GE, GEU, and LEU. */ rtx canon_condition (rtx cond) { rtx tem; rtx op0, op1; enum rtx_code code; enum machine_mode mode; code = GET_CODE (cond); op0 = XEXP (cond, 0); op1 = XEXP (cond, 1); if (swap_commutative_operands_p (op0, op1)) { code = swap_condition (code); tem = op0; op0 = op1; op1 = tem; } mode = GET_MODE (op0); if (mode == VOIDmode) mode = GET_MODE (op1); gcc_assert (mode != VOIDmode); if (GET_CODE (op1) == CONST_INT && GET_MODE_CLASS (mode) != MODE_CC && GET_MODE_BITSIZE (mode) <= HOST_BITS_PER_WIDE_INT) { HOST_WIDE_INT const_val = INTVAL (op1); unsigned HOST_WIDE_INT uconst_val = const_val; unsigned HOST_WIDE_INT max_val = (unsigned HOST_WIDE_INT) GET_MODE_MASK (mode); switch (code) { case LE: if ((unsigned HOST_WIDE_INT) const_val != max_val >> 1) code = LT, op1 = gen_int_mode (const_val + 1, GET_MODE (op0)); break; /* When cross-compiling, const_val might be sign-extended from BITS_PER_WORD to HOST_BITS_PER_WIDE_INT */ case GE: if ((HOST_WIDE_INT) (const_val & max_val) != (((HOST_WIDE_INT) 1 << (GET_MODE_BITSIZE (GET_MODE (op0)) - 1)))) code = GT, op1 = gen_int_mode (const_val - 1, mode); break; case LEU: if (uconst_val < max_val) code = LTU, op1 = gen_int_mode (uconst_val + 1, mode); break; case GEU: if (uconst_val != 0) code = GTU, op1 = gen_int_mode (uconst_val - 1, mode); break; default: break; } } if (op0 != XEXP (cond, 0) || op1 != XEXP (cond, 1) || code != GET_CODE (cond) || GET_MODE (cond) != SImode) cond = gen_rtx_fmt_ee (code, SImode, op0, op1); return cond; } /* Tries to use the fact that COND holds to simplify EXPR. ALTERED is the set of altered regs. */ void simplify_using_condition (rtx cond, rtx *expr, regset altered) { rtx rev, reve, exp = *expr; if (!COMPARISON_P (exp)) return; /* If some register gets altered later, we do not really speak about its value at the time of comparison. */ if (altered && for_each_rtx (&cond, altered_reg_used, altered)) return; rev = reversed_condition (cond); reve = reversed_condition (exp); cond = canon_condition (cond); exp = canon_condition (exp); if (rev) rev = canon_condition (rev); if (reve) reve = canon_condition (reve); if (rtx_equal_p (exp, cond)) { *expr = const_true_rtx; return; } if (rev && rtx_equal_p (exp, rev)) { *expr = const0_rtx; return; } if (implies_p (cond, exp)) { *expr = const_true_rtx; return; } if (reve && implies_p (cond, reve)) { *expr = const0_rtx; return; } /* A proof by contradiction. If *EXPR implies (not cond), *EXPR must be false. */ if (rev && implies_p (exp, rev)) { *expr = const0_rtx; return; } /* Similarly, If (not *EXPR) implies (not cond), *EXPR must be true. */ if (rev && reve && implies_p (reve, rev)) { *expr = const_true_rtx; return; } /* We would like to have some other tests here. TODO. */ return; } /* Use relationship between A and *B to eventually eliminate *B. OP is the operation we consider. */ static void eliminate_implied_condition (enum rtx_code op, rtx a, rtx *b) { switch (op) { case AND: /* If A implies *B, we may replace *B by true. */ if (implies_p (a, *b)) *b = const_true_rtx; break; case IOR: /* If *B implies A, we may replace *B by false. */ if (implies_p (*b, a)) *b = const0_rtx; break; default: gcc_unreachable (); } } /* Eliminates the conditions in TAIL that are implied by HEAD. OP is the operation we consider. */ static void eliminate_implied_conditions (enum rtx_code op, rtx *head, rtx tail) { rtx elt; for (elt = tail; elt; elt = XEXP (elt, 1)) eliminate_implied_condition (op, *head, &XEXP (elt, 0)); for (elt = tail; elt; elt = XEXP (elt, 1)) eliminate_implied_condition (op, XEXP (elt, 0), head); } /* Simplifies *EXPR using initial values at the start of the LOOP. If *EXPR is a list, its elements are assumed to be combined using OP. */ static void simplify_using_initial_values (struct loop *loop, enum rtx_code op, rtx *expr) { rtx head, tail, insn; rtx neutral, aggr; regset altered; edge e; if (!*expr) return; if (CONSTANT_P (*expr)) return; if (GET_CODE (*expr) == EXPR_LIST) { head = XEXP (*expr, 0); tail = XEXP (*expr, 1); eliminate_implied_conditions (op, &head, tail); switch (op) { case AND: neutral = const_true_rtx; aggr = const0_rtx; break; case IOR: neutral = const0_rtx; aggr = const_true_rtx; break; default: gcc_unreachable (); } simplify_using_initial_values (loop, UNKNOWN, &head); if (head == aggr) { XEXP (*expr, 0) = aggr; XEXP (*expr, 1) = NULL_RTX; return; } else if (head == neutral) { *expr = tail; simplify_using_initial_values (loop, op, expr); return; } simplify_using_initial_values (loop, op, &tail); if (tail && XEXP (tail, 0) == aggr) { *expr = tail; return; } XEXP (*expr, 0) = head; XEXP (*expr, 1) = tail; return; } gcc_assert (op == UNKNOWN); e = loop_preheader_edge (loop); if (e->src == ENTRY_BLOCK_PTR) return; altered = ALLOC_REG_SET (®_obstack); while (1) { insn = BB_END (e->src); if (any_condjump_p (insn)) { rtx cond = get_condition (BB_END (e->src), NULL, false, true); if (cond && (e->flags & EDGE_FALLTHRU)) cond = reversed_condition (cond); if (cond) { simplify_using_condition (cond, expr, altered); if (CONSTANT_P (*expr)) { FREE_REG_SET (altered); return; } } } FOR_BB_INSNS_REVERSE (e->src, insn) { if (!INSN_P (insn)) continue; simplify_using_assignment (insn, expr, altered); if (CONSTANT_P (*expr)) { FREE_REG_SET (altered); return; } } if (!single_pred_p (e->src) || single_pred (e->src) == ENTRY_BLOCK_PTR) break; e = single_pred_edge (e->src); } FREE_REG_SET (altered); } /* Transforms invariant IV into MODE. Adds assumptions based on the fact that IV occurs as left operands of comparison COND and its signedness is SIGNED_P to DESC. */ static void shorten_into_mode (struct rtx_iv *iv, enum machine_mode mode, enum rtx_code cond, bool signed_p, struct niter_desc *desc) { rtx mmin, mmax, cond_over, cond_under; get_mode_bounds (mode, signed_p, iv->extend_mode, &mmin, &mmax); cond_under = simplify_gen_relational (LT, SImode, iv->extend_mode, iv->base, mmin); cond_over = simplify_gen_relational (GT, SImode, iv->extend_mode, iv->base, mmax); switch (cond) { case LE: case LT: case LEU: case LTU: if (cond_under != const0_rtx) desc->infinite = alloc_EXPR_LIST (0, cond_under, desc->infinite); if (cond_over != const0_rtx) desc->noloop_assumptions = alloc_EXPR_LIST (0, cond_over, desc->noloop_assumptions); break; case GE: case GT: case GEU: case GTU: if (cond_over != const0_rtx) desc->infinite = alloc_EXPR_LIST (0, cond_over, desc->infinite); if (cond_under != const0_rtx) desc->noloop_assumptions = alloc_EXPR_LIST (0, cond_under, desc->noloop_assumptions); break; case NE: if (cond_over != const0_rtx) desc->infinite = alloc_EXPR_LIST (0, cond_over, desc->infinite); if (cond_under != const0_rtx) desc->infinite = alloc_EXPR_LIST (0, cond_under, desc->infinite); break; default: gcc_unreachable (); } iv->mode = mode; iv->extend = signed_p ? SIGN_EXTEND : ZERO_EXTEND; } /* Transforms IV0 and IV1 compared by COND so that they are both compared as subregs of the same mode if possible (sometimes it is necessary to add some assumptions to DESC). */ static bool canonicalize_iv_subregs (struct rtx_iv *iv0, struct rtx_iv *iv1, enum rtx_code cond, struct niter_desc *desc) { enum machine_mode comp_mode; bool signed_p; /* If the ivs behave specially in the first iteration, or are added/multiplied after extending, we ignore them. */ if (iv0->first_special || iv0->mult != const1_rtx || iv0->delta != const0_rtx) return false; if (iv1->first_special || iv1->mult != const1_rtx || iv1->delta != const0_rtx) return false; /* If there is some extend, it must match signedness of the comparison. */ switch (cond) { case LE: case LT: if (iv0->extend == ZERO_EXTEND || iv1->extend == ZERO_EXTEND) return false; signed_p = true; break; case LEU: case LTU: if (iv0->extend == SIGN_EXTEND || iv1->extend == SIGN_EXTEND) return false; signed_p = false; break; case NE: if (iv0->extend != UNKNOWN && iv1->extend != UNKNOWN && iv0->extend != iv1->extend) return false; signed_p = false; if (iv0->extend != UNKNOWN) signed_p = iv0->extend == SIGN_EXTEND; if (iv1->extend != UNKNOWN) signed_p = iv1->extend == SIGN_EXTEND; break; default: gcc_unreachable (); } /* Values of both variables should be computed in the same mode. These might indeed be different, if we have comparison like (compare (subreg:SI (iv0)) (subreg:SI (iv1))) and iv0 and iv1 are both ivs iterating in SI mode, but calculated in different modes. This does not seem impossible to handle, but it hardly ever occurs in practice. The only exception is the case when one of operands is invariant. For example pentium 3 generates comparisons like (lt (subreg:HI (reg:SI)) 100). Here we assign HImode to 100, but we definitely do not want this prevent the optimization. */ comp_mode = iv0->extend_mode; if (GET_MODE_BITSIZE (comp_mode) < GET_MODE_BITSIZE (iv1->extend_mode)) comp_mode = iv1->extend_mode; if (iv0->extend_mode != comp_mode) { if (iv0->mode != iv0->extend_mode || iv0->step != const0_rtx) return false; iv0->base = simplify_gen_unary (signed_p ? SIGN_EXTEND : ZERO_EXTEND, comp_mode, iv0->base, iv0->mode); iv0->extend_mode = comp_mode; } if (iv1->extend_mode != comp_mode) { if (iv1->mode != iv1->extend_mode || iv1->step != const0_rtx) return false; iv1->base = simplify_gen_unary (signed_p ? SIGN_EXTEND : ZERO_EXTEND, comp_mode, iv1->base, iv1->mode); iv1->extend_mode = comp_mode; } /* Check that both ivs belong to a range of a single mode. If one of the operands is an invariant, we may need to shorten it into the common mode. */ if (iv0->mode == iv0->extend_mode && iv0->step == const0_rtx && iv0->mode != iv1->mode) shorten_into_mode (iv0, iv1->mode, cond, signed_p, desc); if (iv1->mode == iv1->extend_mode && iv1->step == const0_rtx && iv0->mode != iv1->mode) shorten_into_mode (iv1, iv0->mode, swap_condition (cond), signed_p, desc); if (iv0->mode != iv1->mode) return false; desc->mode = iv0->mode; desc->signed_p = signed_p; return true; } /* Computes number of iterations of the CONDITION in INSN in LOOP and stores the result into DESC. Very similar to determine_number_of_iterations (basically its rtl version), complicated by things like subregs. */ static void iv_number_of_iterations (struct loop *loop, rtx insn, rtx condition, struct niter_desc *desc) { rtx op0, op1, delta, step, bound, may_xform, tmp, tmp0, tmp1; struct rtx_iv iv0, iv1, tmp_iv; rtx assumption, may_not_xform; enum rtx_code cond; enum machine_mode mode, comp_mode; rtx mmin, mmax, mode_mmin, mode_mmax; unsigned HOST_WIDEST_INT s, size, d, inv; HOST_WIDEST_INT up, down, inc, step_val; int was_sharp = false; rtx old_niter; bool step_is_pow2; /* The meaning of these assumptions is this: if !assumptions then the rest of information does not have to be valid if noloop_assumptions then the loop does not roll if infinite then this exit is never used */ desc->assumptions = NULL_RTX; desc->noloop_assumptions = NULL_RTX; desc->infinite = NULL_RTX; desc->simple_p = true; desc->const_iter = false; desc->niter_expr = NULL_RTX; desc->niter_max = 0; cond = GET_CODE (condition); gcc_assert (COMPARISON_P (condition)); mode = GET_MODE (XEXP (condition, 0)); if (mode == VOIDmode) mode = GET_MODE (XEXP (condition, 1)); /* The constant comparisons should be folded. */ gcc_assert (mode != VOIDmode); /* We only handle integers or pointers. */ if (GET_MODE_CLASS (mode) != MODE_INT && GET_MODE_CLASS (mode) != MODE_PARTIAL_INT) goto fail; op0 = XEXP (condition, 0); if (!iv_analyze (insn, op0, &iv0)) goto fail; if (iv0.extend_mode == VOIDmode) iv0.mode = iv0.extend_mode = mode; op1 = XEXP (condition, 1); if (!iv_analyze (insn, op1, &iv1)) goto fail; if (iv1.extend_mode == VOIDmode) iv1.mode = iv1.extend_mode = mode; if (GET_MODE_BITSIZE (iv0.extend_mode) > HOST_BITS_PER_WIDE_INT || GET_MODE_BITSIZE (iv1.extend_mode) > HOST_BITS_PER_WIDE_INT) goto fail; /* Check condition and normalize it. */ switch (cond) { case GE: case GT: case GEU: case GTU: tmp_iv = iv0; iv0 = iv1; iv1 = tmp_iv; cond = swap_condition (cond); break; case NE: case LE: case LEU: case LT: case LTU: break; default: goto fail; } /* Handle extends. This is relatively nontrivial, so we only try in some easy cases, when we can canonicalize the ivs (possibly by adding some assumptions) to shape subreg (base + i * step). This function also fills in desc->mode and desc->signed_p. */ if (!canonicalize_iv_subregs (&iv0, &iv1, cond, desc)) goto fail; comp_mode = iv0.extend_mode; mode = iv0.mode; size = GET_MODE_BITSIZE (mode); get_mode_bounds (mode, (cond == LE || cond == LT), comp_mode, &mmin, &mmax); mode_mmin = lowpart_subreg (mode, mmin, comp_mode); mode_mmax = lowpart_subreg (mode, mmax, comp_mode); if (GET_CODE (iv0.step) != CONST_INT || GET_CODE (iv1.step) != CONST_INT) goto fail; /* We can take care of the case of two induction variables chasing each other if the test is NE. I have never seen a loop using it, but still it is cool. */ if (iv0.step != const0_rtx && iv1.step != const0_rtx) { if (cond != NE) goto fail; iv0.step = simplify_gen_binary (MINUS, comp_mode, iv0.step, iv1.step); iv1.step = const0_rtx; } /* This is either infinite loop or the one that ends immediately, depending on initial values. Unswitching should remove this kind of conditions. */ if (iv0.step == const0_rtx && iv1.step == const0_rtx) goto fail; if (cond != NE) { if (iv0.step == const0_rtx) step_val = -INTVAL (iv1.step); else step_val = INTVAL (iv0.step); /* Ignore loops of while (i-- < 10) type. */ if (step_val < 0) goto fail; step_is_pow2 = !(step_val & (step_val - 1)); } else { /* We do not care about whether the step is power of two in this case. */ step_is_pow2 = false; step_val = 0; } /* Some more condition normalization. We must record some assumptions due to overflows. */ switch (cond) { case LT: case LTU: /* We want to take care only of non-sharp relationals; this is easy, as in cases the overflow would make the transformation unsafe the loop does not roll. Seemingly it would make more sense to want to take care of sharp relationals instead, as NE is more similar to them, but the problem is that here the transformation would be more difficult due to possibly infinite loops. */ if (iv0.step == const0_rtx) { tmp = lowpart_subreg (mode, iv0.base, comp_mode); assumption = simplify_gen_relational (EQ, SImode, mode, tmp, mode_mmax); if (assumption == const_true_rtx) goto zero_iter_simplify; iv0.base = simplify_gen_binary (PLUS, comp_mode, iv0.base, const1_rtx); } else { tmp = lowpart_subreg (mode, iv1.base, comp_mode); assumption = simplify_gen_relational (EQ, SImode, mode, tmp, mode_mmin); if (assumption == const_true_rtx) goto zero_iter_simplify; iv1.base = simplify_gen_binary (PLUS, comp_mode, iv1.base, constm1_rtx); } if (assumption != const0_rtx) desc->noloop_assumptions = alloc_EXPR_LIST (0, assumption, desc->noloop_assumptions); cond = (cond == LT) ? LE : LEU; /* It will be useful to be able to tell the difference once more in LE -> NE reduction. */ was_sharp = true; break; default: ; } /* Take care of trivially infinite loops. */ if (cond != NE) { if (iv0.step == const0_rtx) { tmp = lowpart_subreg (mode, iv0.base, comp_mode); if (rtx_equal_p (tmp, mode_mmin)) { desc->infinite = alloc_EXPR_LIST (0, const_true_rtx, NULL_RTX); /* Fill in the remaining fields somehow. */ goto zero_iter_simplify; } } else { tmp = lowpart_subreg (mode, iv1.base, comp_mode); if (rtx_equal_p (tmp, mode_mmax)) { desc->infinite = alloc_EXPR_LIST (0, const_true_rtx, NULL_RTX); /* Fill in the remaining fields somehow. */ goto zero_iter_simplify; } } } /* If we can we want to take care of NE conditions instead of size comparisons, as they are much more friendly (most importantly this takes care of special handling of loops with step 1). We can do it if we first check that upper bound is greater or equal to lower bound, their difference is constant c modulo step and that there is not an overflow. */ if (cond != NE) { if (iv0.step == const0_rtx) step = simplify_gen_unary (NEG, comp_mode, iv1.step, comp_mode); else step = iv0.step; delta = simplify_gen_binary (MINUS, comp_mode, iv1.base, iv0.base); delta = lowpart_subreg (mode, delta, comp_mode); delta = simplify_gen_binary (UMOD, mode, delta, step); may_xform = const0_rtx; may_not_xform = const_true_rtx; if (GET_CODE (delta) == CONST_INT) { if (was_sharp && INTVAL (delta) == INTVAL (step) - 1) { /* A special case. We have transformed condition of type for (i = 0; i < 4; i += 4) into for (i = 0; i <= 3; i += 4) obviously if the test for overflow during that transformation passed, we cannot overflow here. Most importantly any loop with sharp end condition and step 1 falls into this category, so handling this case specially is definitely worth the troubles. */ may_xform = const_true_rtx; } else if (iv0.step == const0_rtx) { bound = simplify_gen_binary (PLUS, comp_mode, mmin, step); bound = simplify_gen_binary (MINUS, comp_mode, bound, delta); bound = lowpart_subreg (mode, bound, comp_mode); tmp = lowpart_subreg (mode, iv0.base, comp_mode); may_xform = simplify_gen_relational (cond, SImode, mode, bound, tmp); may_not_xform = simplify_gen_relational (reverse_condition (cond), SImode, mode, bound, tmp); } else { bound = simplify_gen_binary (MINUS, comp_mode, mmax, step); bound = simplify_gen_binary (PLUS, comp_mode, bound, delta); bound = lowpart_subreg (mode, bound, comp_mode); tmp = lowpart_subreg (mode, iv1.base, comp_mode); may_xform = simplify_gen_relational (cond, SImode, mode, tmp, bound); may_not_xform = simplify_gen_relational (reverse_condition (cond), SImode, mode, tmp, bound); } } if (may_xform != const0_rtx) { /* We perform the transformation always provided that it is not completely senseless. This is OK, as we would need this assumption to determine the number of iterations anyway. */ if (may_xform != const_true_rtx) { /* If the step is a power of two and the final value we have computed overflows, the cycle is infinite. Otherwise it is nontrivial to compute the number of iterations. */ if (step_is_pow2) desc->infinite = alloc_EXPR_LIST (0, may_not_xform, desc->infinite); else desc->assumptions = alloc_EXPR_LIST (0, may_xform, desc->assumptions); } /* We are going to lose some information about upper bound on number of iterations in this step, so record the information here. */ inc = INTVAL (iv0.step) - INTVAL (iv1.step); if (GET_CODE (iv1.base) == CONST_INT) up = INTVAL (iv1.base); else up = INTVAL (mode_mmax) - inc; down = INTVAL (GET_CODE (iv0.base) == CONST_INT ? iv0.base : mode_mmin); desc->niter_max = (up - down) / inc + 1; if (iv0.step == const0_rtx) { iv0.base = simplify_gen_binary (PLUS, comp_mode, iv0.base, delta); iv0.base = simplify_gen_binary (MINUS, comp_mode, iv0.base, step); } else { iv1.base = simplify_gen_binary (MINUS, comp_mode, iv1.base, delta); iv1.base = simplify_gen_binary (PLUS, comp_mode, iv1.base, step); } tmp0 = lowpart_subreg (mode, iv0.base, comp_mode); tmp1 = lowpart_subreg (mode, iv1.base, comp_mode); assumption = simplify_gen_relational (reverse_condition (cond), SImode, mode, tmp0, tmp1); if (assumption == const_true_rtx) goto zero_iter_simplify; else if (assumption != const0_rtx) desc->noloop_assumptions = alloc_EXPR_LIST (0, assumption, desc->noloop_assumptions); cond = NE; } } /* Count the number of iterations. */ if (cond == NE) { /* Everything we do here is just arithmetics modulo size of mode. This makes us able to do more involved computations of number of iterations than in other cases. First transform the condition into shape s * i <> c, with s positive. */ iv1.base = simplify_gen_binary (MINUS, comp_mode, iv1.base, iv0.base); iv0.base = const0_rtx; iv0.step = simplify_gen_binary (MINUS, comp_mode, iv0.step, iv1.step); iv1.step = const0_rtx; if (INTVAL (iv0.step) < 0) { iv0.step = simplify_gen_unary (NEG, comp_mode, iv0.step, mode); iv1.base = simplify_gen_unary (NEG, comp_mode, iv1.base, mode); } iv0.step = lowpart_subreg (mode, iv0.step, comp_mode); /* Let nsd (s, size of mode) = d. If d does not divide c, the loop is infinite. Otherwise, the number of iterations is (inverse(s/d) * (c/d)) mod (size of mode/d). */ s = INTVAL (iv0.step); d = 1; while (s % 2 != 1) { s /= 2; d *= 2; size--; } bound = GEN_INT (((unsigned HOST_WIDEST_INT) 1 << (size - 1 ) << 1) - 1); tmp1 = lowpart_subreg (mode, iv1.base, comp_mode); tmp = simplify_gen_binary (UMOD, mode, tmp1, GEN_INT (d)); assumption = simplify_gen_relational (NE, SImode, mode, tmp, const0_rtx); desc->infinite = alloc_EXPR_LIST (0, assumption, desc->infinite); tmp = simplify_gen_binary (UDIV, mode, tmp1, GEN_INT (d)); inv = inverse (s, size); tmp = simplify_gen_binary (MULT, mode, tmp, gen_int_mode (inv, mode)); desc->niter_expr = simplify_gen_binary (AND, mode, tmp, bound); } else { if (iv1.step == const0_rtx) /* Condition in shape a + s * i <= b We must know that b + s does not overflow and a <= b + s and then we can compute number of iterations as (b + s - a) / s. (It might seem that we in fact could be more clever about testing the b + s overflow condition using some information about b - a mod s, but it was already taken into account during LE -> NE transform). */ { step = iv0.step; tmp0 = lowpart_subreg (mode, iv0.base, comp_mode); tmp1 = lowpart_subreg (mode, iv1.base, comp_mode); bound = simplify_gen_binary (MINUS, mode, mode_mmax, lowpart_subreg (mode, step, comp_mode)); if (step_is_pow2) { rtx t0, t1; /* If s is power of 2, we know that the loop is infinite if a % s <= b % s and b + s overflows. */ assumption = simplify_gen_relational (reverse_condition (cond), SImode, mode, tmp1, bound); t0 = simplify_gen_binary (UMOD, mode, copy_rtx (tmp0), step); t1 = simplify_gen_binary (UMOD, mode, copy_rtx (tmp1), step); tmp = simplify_gen_relational (cond, SImode, mode, t0, t1); assumption = simplify_gen_binary (AND, SImode, assumption, tmp); desc->infinite = alloc_EXPR_LIST (0, assumption, desc->infinite); } else { assumption = simplify_gen_relational (cond, SImode, mode, tmp1, bound); desc->assumptions = alloc_EXPR_LIST (0, assumption, desc->assumptions); } tmp = simplify_gen_binary (PLUS, comp_mode, iv1.base, iv0.step); tmp = lowpart_subreg (mode, tmp, comp_mode); assumption = simplify_gen_relational (reverse_condition (cond), SImode, mode, tmp0, tmp); delta = simplify_gen_binary (PLUS, mode, tmp1, step); delta = simplify_gen_binary (MINUS, mode, delta, tmp0); } else { /* Condition in shape a <= b - s * i We must know that a - s does not overflow and a - s <= b and then we can again compute number of iterations as (b - (a - s)) / s. */ step = simplify_gen_unary (NEG, mode, iv1.step, mode); tmp0 = lowpart_subreg (mode, iv0.base, comp_mode); tmp1 = lowpart_subreg (mode, iv1.base, comp_mode); bound = simplify_gen_binary (PLUS, mode, mode_mmin, lowpart_subreg (mode, step, comp_mode)); if (step_is_pow2) { rtx t0, t1; /* If s is power of 2, we know that the loop is infinite if a % s <= b % s and a - s overflows. */ assumption = simplify_gen_relational (reverse_condition (cond), SImode, mode, bound, tmp0); t0 = simplify_gen_binary (UMOD, mode, copy_rtx (tmp0), step); t1 = simplify_gen_binary (UMOD, mode, copy_rtx (tmp1), step); tmp = simplify_gen_relational (cond, SImode, mode, t0, t1); assumption = simplify_gen_binary (AND, SImode, assumption, tmp); desc->infinite = alloc_EXPR_LIST (0, assumption, desc->infinite); } else { assumption = simplify_gen_relational (cond, SImode, mode, bound, tmp0); desc->assumptions = alloc_EXPR_LIST (0, assumption, desc->assumptions); } tmp = simplify_gen_binary (PLUS, comp_mode, iv0.base, iv1.step); tmp = lowpart_subreg (mode, tmp, comp_mode); assumption = simplify_gen_relational (reverse_condition (cond), SImode, mode, tmp, tmp1); delta = simplify_gen_binary (MINUS, mode, tmp0, step); delta = simplify_gen_binary (MINUS, mode, tmp1, delta); } if (assumption == const_true_rtx) goto zero_iter_simplify; else if (assumption != const0_rtx) desc->noloop_assumptions = alloc_EXPR_LIST (0, assumption, desc->noloop_assumptions); delta = simplify_gen_binary (UDIV, mode, delta, step); desc->niter_expr = delta; } old_niter = desc->niter_expr; simplify_using_initial_values (loop, AND, &desc->assumptions); if (desc->assumptions && XEXP (desc->assumptions, 0) == const0_rtx) goto fail; simplify_using_initial_values (loop, IOR, &desc->noloop_assumptions); simplify_using_initial_values (loop, IOR, &desc->infinite); simplify_using_initial_values (loop, UNKNOWN, &desc->niter_expr); /* Rerun the simplification. Consider code (created by copying loop headers) i = 0; if (0 < n) { do { i++; } while (i < n); } The first pass determines that i = 0, the second pass uses it to eliminate noloop assumption. */ simplify_using_initial_values (loop, AND, &desc->assumptions); if (desc->assumptions && XEXP (desc->assumptions, 0) == const0_rtx) goto fail; simplify_using_initial_values (loop, IOR, &desc->noloop_assumptions); simplify_using_initial_values (loop, IOR, &desc->infinite); simplify_using_initial_values (loop, UNKNOWN, &desc->niter_expr); if (desc->noloop_assumptions && XEXP (desc->noloop_assumptions, 0) == const_true_rtx) goto zero_iter; if (GET_CODE (desc->niter_expr) == CONST_INT) { unsigned HOST_WIDEST_INT val = INTVAL (desc->niter_expr); desc->const_iter = true; desc->niter_max = desc->niter = val & GET_MODE_MASK (desc->mode); } else { if (!desc->niter_max) desc->niter_max = determine_max_iter (desc); /* simplify_using_initial_values does a copy propagation on the registers in the expression for the number of iterations. This prolongs life ranges of registers and increases register pressure, and usually brings no gain (and if it happens to do, the cse pass will take care of it anyway). So prevent this behavior, unless it enabled us to derive that the number of iterations is a constant. */ desc->niter_expr = old_niter; } return; zero_iter_simplify: /* Simplify the assumptions. */ simplify_using_initial_values (loop, AND, &desc->assumptions); if (desc->assumptions && XEXP (desc->assumptions, 0) == const0_rtx) goto fail; simplify_using_initial_values (loop, IOR, &desc->infinite); /* Fallthru. */ zero_iter: desc->const_iter = true; desc->niter = 0; desc->niter_max = 0; desc->noloop_assumptions = NULL_RTX; desc->niter_expr = const0_rtx; return; fail: desc->simple_p = false; return; } /* Checks whether E is a simple exit from LOOP and stores its description into DESC. */ static void check_simple_exit (struct loop *loop, edge e, struct niter_desc *desc) { basic_block exit_bb; rtx condition, at; edge ein; exit_bb = e->src; desc->simple_p = false; /* It must belong directly to the loop. */ if (exit_bb->loop_father != loop) return; /* It must be tested (at least) once during any iteration. */ if (!dominated_by_p (CDI_DOMINATORS, loop->latch, exit_bb)) return; /* It must end in a simple conditional jump. */ if (!any_condjump_p (BB_END (exit_bb))) return; ein = EDGE_SUCC (exit_bb, 0); if (ein == e) ein = EDGE_SUCC (exit_bb, 1); desc->out_edge = e; desc->in_edge = ein; /* Test whether the condition is suitable. */ if (!(condition = get_condition (BB_END (ein->src), &at, false, false))) return; if (ein->flags & EDGE_FALLTHRU) { condition = reversed_condition (condition); if (!condition) return; } /* Check that we are able to determine number of iterations and fill in information about it. */ iv_number_of_iterations (loop, at, condition, desc); } /* Finds a simple exit of LOOP and stores its description into DESC. */ void find_simple_exit (struct loop *loop, struct niter_desc *desc) { unsigned i; basic_block *body; edge e; struct niter_desc act; bool any = false; edge_iterator ei; desc->simple_p = false; body = get_loop_body (loop); for (i = 0; i < loop->num_nodes; i++) { FOR_EACH_EDGE (e, ei, body[i]->succs) { if (flow_bb_inside_loop_p (loop, e->dest)) continue; check_simple_exit (loop, e, &act); if (!act.simple_p) continue; if (!any) any = true; else { /* Prefer constant iterations; the less the better. */ if (!act.const_iter || (desc->const_iter && act.niter >= desc->niter)) continue; /* Also if the actual exit may be infinite, while the old one not, prefer the old one. */ if (act.infinite && !desc->infinite) continue; } *desc = act; } } if (dump_file) { if (desc->simple_p) { fprintf (dump_file, "Loop %d is simple:\n", loop->num); fprintf (dump_file, " simple exit %d -> %d\n", desc->out_edge->src->index, desc->out_edge->dest->index); if (desc->assumptions) { fprintf (dump_file, " assumptions: "); print_rtl (dump_file, desc->assumptions); fprintf (dump_file, "\n"); } if (desc->noloop_assumptions) { fprintf (dump_file, " does not roll if: "); print_rtl (dump_file, desc->noloop_assumptions); fprintf (dump_file, "\n"); } if (desc->infinite) { fprintf (dump_file, " infinite if: "); print_rtl (dump_file, desc->infinite); fprintf (dump_file, "\n"); } fprintf (dump_file, " number of iterations: "); print_rtl (dump_file, desc->niter_expr); fprintf (dump_file, "\n"); fprintf (dump_file, " upper bound: "); fprintf (dump_file, HOST_WIDEST_INT_PRINT_DEC, desc->niter_max); fprintf (dump_file, "\n"); } else fprintf (dump_file, "Loop %d is not simple.\n", loop->num); } free (body); } /* Creates a simple loop description of LOOP if it was not computed already. */ struct niter_desc * get_simple_loop_desc (struct loop *loop) { struct niter_desc *desc = simple_loop_desc (loop); if (desc) return desc; desc = XNEW (struct niter_desc); iv_analysis_loop_init (loop); find_simple_exit (loop, desc); loop->aux = desc; if (desc->simple_p && (desc->assumptions || desc->infinite)) { const char *wording; /* Assume that no overflow happens and that the loop is finite. We already warned at the tree level if we ran optimizations there. */ if (!flag_tree_loop_optimize && warn_unsafe_loop_optimizations) { if (desc->infinite) { wording = flag_unsafe_loop_optimizations ? N_("assuming that the loop is not infinite") : N_("cannot optimize possibly infinite loops"); warning (OPT_Wunsafe_loop_optimizations, "%s", gettext (wording)); } if (desc->assumptions) { wording = flag_unsafe_loop_optimizations ? N_("assuming that the loop counter does not overflow") : N_("cannot optimize loop, the loop counter may overflow"); warning (OPT_Wunsafe_loop_optimizations, "%s", gettext (wording)); } } if (flag_unsafe_loop_optimizations) { desc->assumptions = NULL_RTX; desc->infinite = NULL_RTX; } } return desc; } /* Releases simple loop description for LOOP. */ void free_simple_loop_desc (struct loop *loop) { struct niter_desc *desc = simple_loop_desc (loop); if (!desc) return; free (desc); loop->aux = NULL; }
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