/* Lower complex number operations to scalar operations. Copyright (C) 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 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 . */ #include "config.h" #include "system.h" #include "coretypes.h" #include "tm.h" #include "tree.h" #include "flags.h" #include "tree-flow.h" #include "gimple.h" #include "tree-iterator.h" #include "tree-pass.h" #include "tree-ssa-propagate.h" /* For each complex ssa name, a lattice value. We're interested in finding out whether a complex number is degenerate in some way, having only real or only complex parts. */ enum { UNINITIALIZED = 0, ONLY_REAL = 1, ONLY_IMAG = 2, VARYING = 3 }; /* The type complex_lattice_t holds combinations of the above constants. */ typedef int complex_lattice_t; #define PAIR(a, b) ((a) << 2 | (b)) static vec complex_lattice_values; /* For each complex variable, a pair of variables for the components exists in the hashtable. */ static htab_t complex_variable_components; /* For each complex SSA_NAME, a pair of ssa names for the components. */ static vec complex_ssa_name_components; /* Lookup UID in the complex_variable_components hashtable and return the associated tree. */ static tree cvc_lookup (unsigned int uid) { struct int_tree_map *h, in; in.uid = uid; h = (struct int_tree_map *) htab_find_with_hash (complex_variable_components, &in, uid); return h ? h->to : NULL; } /* Insert the pair UID, TO into the complex_variable_components hashtable. */ static void cvc_insert (unsigned int uid, tree to) { struct int_tree_map *h; void **loc; h = XNEW (struct int_tree_map); h->uid = uid; h->to = to; loc = htab_find_slot_with_hash (complex_variable_components, h, uid, INSERT); *(struct int_tree_map **) loc = h; } /* Return true if T is not a zero constant. In the case of real values, we're only interested in +0.0. */ static int some_nonzerop (tree t) { int zerop = false; /* Operations with real or imaginary part of a complex number zero cannot be treated the same as operations with a real or imaginary operand if we care about the signs of zeros in the result. */ if (TREE_CODE (t) == REAL_CST && !flag_signed_zeros) zerop = REAL_VALUES_IDENTICAL (TREE_REAL_CST (t), dconst0); else if (TREE_CODE (t) == FIXED_CST) zerop = fixed_zerop (t); else if (TREE_CODE (t) == INTEGER_CST) zerop = integer_zerop (t); return !zerop; } /* Compute a lattice value from the components of a complex type REAL and IMAG. */ static complex_lattice_t find_lattice_value_parts (tree real, tree imag) { int r, i; complex_lattice_t ret; r = some_nonzerop (real); i = some_nonzerop (imag); ret = r * ONLY_REAL + i * ONLY_IMAG; /* ??? On occasion we could do better than mapping 0+0i to real, but we certainly don't want to leave it UNINITIALIZED, which eventually gets mapped to VARYING. */ if (ret == UNINITIALIZED) ret = ONLY_REAL; return ret; } /* Compute a lattice value from gimple_val T. */ static complex_lattice_t find_lattice_value (tree t) { tree real, imag; switch (TREE_CODE (t)) { case SSA_NAME: return complex_lattice_values[SSA_NAME_VERSION (t)]; case COMPLEX_CST: real = TREE_REALPART (t); imag = TREE_IMAGPART (t); break; default: gcc_unreachable (); } return find_lattice_value_parts (real, imag); } /* Determine if LHS is something for which we're interested in seeing simulation results. */ static bool is_complex_reg (tree lhs) { return TREE_CODE (TREE_TYPE (lhs)) == COMPLEX_TYPE && is_gimple_reg (lhs); } /* Mark the incoming parameters to the function as VARYING. */ static void init_parameter_lattice_values (void) { tree parm, ssa_name; for (parm = DECL_ARGUMENTS (cfun->decl); parm ; parm = DECL_CHAIN (parm)) if (is_complex_reg (parm) && (ssa_name = ssa_default_def (cfun, parm)) != NULL_TREE) complex_lattice_values[SSA_NAME_VERSION (ssa_name)] = VARYING; } /* Initialize simulation state for each statement. Return false if we found no statements we want to simulate, and thus there's nothing for the entire pass to do. */ static bool init_dont_simulate_again (void) { basic_block bb; gimple_stmt_iterator gsi; gimple phi; bool saw_a_complex_op = false; FOR_EACH_BB (bb) { for (gsi = gsi_start_phis (bb); !gsi_end_p (gsi); gsi_next (&gsi)) { phi = gsi_stmt (gsi); prop_set_simulate_again (phi, is_complex_reg (gimple_phi_result (phi))); } for (gsi = gsi_start_bb (bb); !gsi_end_p (gsi); gsi_next (&gsi)) { gimple stmt; tree op0, op1; bool sim_again_p; stmt = gsi_stmt (gsi); op0 = op1 = NULL_TREE; /* Most control-altering statements must be initially simulated, else we won't cover the entire cfg. */ sim_again_p = stmt_ends_bb_p (stmt); switch (gimple_code (stmt)) { case GIMPLE_CALL: if (gimple_call_lhs (stmt)) sim_again_p = is_complex_reg (gimple_call_lhs (stmt)); break; case GIMPLE_ASSIGN: sim_again_p = is_complex_reg (gimple_assign_lhs (stmt)); if (gimple_assign_rhs_code (stmt) == REALPART_EXPR || gimple_assign_rhs_code (stmt) == IMAGPART_EXPR) op0 = TREE_OPERAND (gimple_assign_rhs1 (stmt), 0); else op0 = gimple_assign_rhs1 (stmt); if (gimple_num_ops (stmt) > 2) op1 = gimple_assign_rhs2 (stmt); break; case GIMPLE_COND: op0 = gimple_cond_lhs (stmt); op1 = gimple_cond_rhs (stmt); break; default: break; } if (op0 || op1) switch (gimple_expr_code (stmt)) { case EQ_EXPR: case NE_EXPR: case PLUS_EXPR: case MINUS_EXPR: case MULT_EXPR: case TRUNC_DIV_EXPR: case CEIL_DIV_EXPR: case FLOOR_DIV_EXPR: case ROUND_DIV_EXPR: case RDIV_EXPR: if (TREE_CODE (TREE_TYPE (op0)) == COMPLEX_TYPE || TREE_CODE (TREE_TYPE (op1)) == COMPLEX_TYPE) saw_a_complex_op = true; break; case NEGATE_EXPR: case CONJ_EXPR: if (TREE_CODE (TREE_TYPE (op0)) == COMPLEX_TYPE) saw_a_complex_op = true; break; case REALPART_EXPR: case IMAGPART_EXPR: /* The total store transformation performed during gimplification creates such uninitialized loads and we need to lower the statement to be able to fix things up. */ if (TREE_CODE (op0) == SSA_NAME && ssa_undefined_value_p (op0)) saw_a_complex_op = true; break; default: break; } prop_set_simulate_again (stmt, sim_again_p); } } return saw_a_complex_op; } /* Evaluate statement STMT against the complex lattice defined above. */ static enum ssa_prop_result complex_visit_stmt (gimple stmt, edge *taken_edge_p ATTRIBUTE_UNUSED, tree *result_p) { complex_lattice_t new_l, old_l, op1_l, op2_l; unsigned int ver; tree lhs; lhs = gimple_get_lhs (stmt); /* Skip anything but GIMPLE_ASSIGN and GIMPLE_CALL with a lhs. */ if (!lhs) return SSA_PROP_VARYING; /* These conditions should be satisfied due to the initial filter set up in init_dont_simulate_again. */ gcc_assert (TREE_CODE (lhs) == SSA_NAME); gcc_assert (TREE_CODE (TREE_TYPE (lhs)) == COMPLEX_TYPE); *result_p = lhs; ver = SSA_NAME_VERSION (lhs); old_l = complex_lattice_values[ver]; switch (gimple_expr_code (stmt)) { case SSA_NAME: case COMPLEX_CST: new_l = find_lattice_value (gimple_assign_rhs1 (stmt)); break; case COMPLEX_EXPR: new_l = find_lattice_value_parts (gimple_assign_rhs1 (stmt), gimple_assign_rhs2 (stmt)); break; case PLUS_EXPR: case MINUS_EXPR: op1_l = find_lattice_value (gimple_assign_rhs1 (stmt)); op2_l = find_lattice_value (gimple_assign_rhs2 (stmt)); /* We've set up the lattice values such that IOR neatly models addition. */ new_l = op1_l | op2_l; break; case MULT_EXPR: case RDIV_EXPR: case TRUNC_DIV_EXPR: case CEIL_DIV_EXPR: case FLOOR_DIV_EXPR: case ROUND_DIV_EXPR: op1_l = find_lattice_value (gimple_assign_rhs1 (stmt)); op2_l = find_lattice_value (gimple_assign_rhs2 (stmt)); /* Obviously, if either varies, so does the result. */ if (op1_l == VARYING || op2_l == VARYING) new_l = VARYING; /* Don't prematurely promote variables if we've not yet seen their inputs. */ else if (op1_l == UNINITIALIZED) new_l = op2_l; else if (op2_l == UNINITIALIZED) new_l = op1_l; else { /* At this point both numbers have only one component. If the numbers are of opposite kind, the result is imaginary, otherwise the result is real. The add/subtract translates the real/imag from/to 0/1; the ^ performs the comparison. */ new_l = ((op1_l - ONLY_REAL) ^ (op2_l - ONLY_REAL)) + ONLY_REAL; /* Don't allow the lattice value to flip-flop indefinitely. */ new_l |= old_l; } break; case NEGATE_EXPR: case CONJ_EXPR: new_l = find_lattice_value (gimple_assign_rhs1 (stmt)); break; default: new_l = VARYING; break; } /* If nothing changed this round, let the propagator know. */ if (new_l == old_l) return SSA_PROP_NOT_INTERESTING; complex_lattice_values[ver] = new_l; return new_l == VARYING ? SSA_PROP_VARYING : SSA_PROP_INTERESTING; } /* Evaluate a PHI node against the complex lattice defined above. */ static enum ssa_prop_result complex_visit_phi (gimple phi) { complex_lattice_t new_l, old_l; unsigned int ver; tree lhs; int i; lhs = gimple_phi_result (phi); /* This condition should be satisfied due to the initial filter set up in init_dont_simulate_again. */ gcc_assert (TREE_CODE (TREE_TYPE (lhs)) == COMPLEX_TYPE); /* We've set up the lattice values such that IOR neatly models PHI meet. */ new_l = UNINITIALIZED; for (i = gimple_phi_num_args (phi) - 1; i >= 0; --i) new_l |= find_lattice_value (gimple_phi_arg_def (phi, i)); ver = SSA_NAME_VERSION (lhs); old_l = complex_lattice_values[ver]; if (new_l == old_l) return SSA_PROP_NOT_INTERESTING; complex_lattice_values[ver] = new_l; return new_l == VARYING ? SSA_PROP_VARYING : SSA_PROP_INTERESTING; } /* Create one backing variable for a complex component of ORIG. */ static tree create_one_component_var (tree type, tree orig, const char *prefix, const char *suffix, enum tree_code code) { tree r = create_tmp_var (type, prefix); DECL_SOURCE_LOCATION (r) = DECL_SOURCE_LOCATION (orig); DECL_ARTIFICIAL (r) = 1; if (DECL_NAME (orig) && !DECL_IGNORED_P (orig)) { const char *name = IDENTIFIER_POINTER (DECL_NAME (orig)); DECL_NAME (r) = get_identifier (ACONCAT ((name, suffix, NULL))); SET_DECL_DEBUG_EXPR (r, build1 (code, type, orig)); DECL_DEBUG_EXPR_IS_FROM (r) = 1; DECL_IGNORED_P (r) = 0; TREE_NO_WARNING (r) = TREE_NO_WARNING (orig); } else { DECL_IGNORED_P (r) = 1; TREE_NO_WARNING (r) = 1; } return r; } /* Retrieve a value for a complex component of VAR. */ static tree get_component_var (tree var, bool imag_p) { size_t decl_index = DECL_UID (var) * 2 + imag_p; tree ret = cvc_lookup (decl_index); if (ret == NULL) { ret = create_one_component_var (TREE_TYPE (TREE_TYPE (var)), var, imag_p ? "CI" : "CR", imag_p ? "$imag" : "$real", imag_p ? IMAGPART_EXPR : REALPART_EXPR); cvc_insert (decl_index, ret); } return ret; } /* Retrieve a value for a complex component of SSA_NAME. */ static tree get_component_ssa_name (tree ssa_name, bool imag_p) { complex_lattice_t lattice = find_lattice_value (ssa_name); size_t ssa_name_index; tree ret; if (lattice == (imag_p ? ONLY_REAL : ONLY_IMAG)) { tree inner_type = TREE_TYPE (TREE_TYPE (ssa_name)); if (SCALAR_FLOAT_TYPE_P (inner_type)) return build_real (inner_type, dconst0); else return build_int_cst (inner_type, 0); } ssa_name_index = SSA_NAME_VERSION (ssa_name) * 2 + imag_p; ret = complex_ssa_name_components[ssa_name_index]; if (ret == NULL) { if (SSA_NAME_VAR (ssa_name)) ret = get_component_var (SSA_NAME_VAR (ssa_name), imag_p); else ret = TREE_TYPE (TREE_TYPE (ssa_name)); ret = make_ssa_name (ret, NULL); /* Copy some properties from the original. In particular, whether it is used in an abnormal phi, and whether it's uninitialized. */ SSA_NAME_OCCURS_IN_ABNORMAL_PHI (ret) = SSA_NAME_OCCURS_IN_ABNORMAL_PHI (ssa_name); if (SSA_NAME_IS_DEFAULT_DEF (ssa_name) && TREE_CODE (SSA_NAME_VAR (ssa_name)) == VAR_DECL) { SSA_NAME_DEF_STMT (ret) = SSA_NAME_DEF_STMT (ssa_name); set_ssa_default_def (cfun, SSA_NAME_VAR (ret), ret); } complex_ssa_name_components[ssa_name_index] = ret; } return ret; } /* Set a value for a complex component of SSA_NAME, return a gimple_seq of stuff that needs doing. */ static gimple_seq set_component_ssa_name (tree ssa_name, bool imag_p, tree value) { complex_lattice_t lattice = find_lattice_value (ssa_name); size_t ssa_name_index; tree comp; gimple last; gimple_seq list; /* We know the value must be zero, else there's a bug in our lattice analysis. But the value may well be a variable known to contain zero. We should be safe ignoring it. */ if (lattice == (imag_p ? ONLY_REAL : ONLY_IMAG)) return NULL; /* If we've already assigned an SSA_NAME to this component, then this means that our walk of the basic blocks found a use before the set. This is fine. Now we should create an initialization for the value we created earlier. */ ssa_name_index = SSA_NAME_VERSION (ssa_name) * 2 + imag_p; comp = complex_ssa_name_components[ssa_name_index]; if (comp) ; /* If we've nothing assigned, and the value we're given is already stable, then install that as the value for this SSA_NAME. This preemptively copy-propagates the value, which avoids unnecessary memory allocation. */ else if (is_gimple_min_invariant (value) && !SSA_NAME_OCCURS_IN_ABNORMAL_PHI (ssa_name)) { complex_ssa_name_components[ssa_name_index] = value; return NULL; } else if (TREE_CODE (value) == SSA_NAME && !SSA_NAME_OCCURS_IN_ABNORMAL_PHI (ssa_name)) { /* Replace an anonymous base value with the variable from cvc_lookup. This should result in better debug info. */ if (SSA_NAME_VAR (ssa_name) && (!SSA_NAME_VAR (value) || DECL_IGNORED_P (SSA_NAME_VAR (value))) && !DECL_IGNORED_P (SSA_NAME_VAR (ssa_name))) { comp = get_component_var (SSA_NAME_VAR (ssa_name), imag_p); replace_ssa_name_symbol (value, comp); } complex_ssa_name_components[ssa_name_index] = value; return NULL; } /* Finally, we need to stabilize the result by installing the value into a new ssa name. */ else comp = get_component_ssa_name (ssa_name, imag_p); /* Do all the work to assign VALUE to COMP. */ list = NULL; value = force_gimple_operand (value, &list, false, NULL); last = gimple_build_assign (comp, value); gimple_seq_add_stmt (&list, last); gcc_assert (SSA_NAME_DEF_STMT (comp) == last); return list; } /* Extract the real or imaginary part of a complex variable or constant. Make sure that it's a proper gimple_val and gimplify it if not. Emit any new code before gsi. */ static tree extract_component (gimple_stmt_iterator *gsi, tree t, bool imagpart_p, bool gimple_p) { switch (TREE_CODE (t)) { case COMPLEX_CST: return imagpart_p ? TREE_IMAGPART (t) : TREE_REALPART (t); case COMPLEX_EXPR: gcc_unreachable (); case VAR_DECL: case RESULT_DECL: case PARM_DECL: case COMPONENT_REF: case ARRAY_REF: case VIEW_CONVERT_EXPR: case MEM_REF: { tree inner_type = TREE_TYPE (TREE_TYPE (t)); t = build1 ((imagpart_p ? IMAGPART_EXPR : REALPART_EXPR), inner_type, unshare_expr (t)); if (gimple_p) t = force_gimple_operand_gsi (gsi, t, true, NULL, true, GSI_SAME_STMT); return t; } case SSA_NAME: return get_component_ssa_name (t, imagpart_p); default: gcc_unreachable (); } } /* Update the complex components of the ssa name on the lhs of STMT. */ static void update_complex_components (gimple_stmt_iterator *gsi, gimple stmt, tree r, tree i) { tree lhs; gimple_seq list; lhs = gimple_get_lhs (stmt); list = set_component_ssa_name (lhs, false, r); if (list) gsi_insert_seq_after (gsi, list, GSI_CONTINUE_LINKING); list = set_component_ssa_name (lhs, true, i); if (list) gsi_insert_seq_after (gsi, list, GSI_CONTINUE_LINKING); } static void update_complex_components_on_edge (edge e, tree lhs, tree r, tree i) { gimple_seq list; list = set_component_ssa_name (lhs, false, r); if (list) gsi_insert_seq_on_edge (e, list); list = set_component_ssa_name (lhs, true, i); if (list) gsi_insert_seq_on_edge (e, list); } /* Update an assignment to a complex variable in place. */ static void update_complex_assignment (gimple_stmt_iterator *gsi, tree r, tree i) { gimple stmt; gimple_assign_set_rhs_with_ops (gsi, COMPLEX_EXPR, r, i); stmt = gsi_stmt (*gsi); update_stmt (stmt); if (maybe_clean_eh_stmt (stmt)) gimple_purge_dead_eh_edges (gimple_bb (stmt)); if (gimple_in_ssa_p (cfun)) update_complex_components (gsi, gsi_stmt (*gsi), r, i); } /* Generate code at the entry point of the function to initialize the component variables for a complex parameter. */ static void update_parameter_components (void) { edge entry_edge = single_succ_edge (ENTRY_BLOCK_PTR); tree parm; for (parm = DECL_ARGUMENTS (cfun->decl); parm ; parm = DECL_CHAIN (parm)) { tree type = TREE_TYPE (parm); tree ssa_name, r, i; if (TREE_CODE (type) != COMPLEX_TYPE || !is_gimple_reg (parm)) continue; type = TREE_TYPE (type); ssa_name = ssa_default_def (cfun, parm); if (!ssa_name) continue; r = build1 (REALPART_EXPR, type, ssa_name); i = build1 (IMAGPART_EXPR, type, ssa_name); update_complex_components_on_edge (entry_edge, ssa_name, r, i); } } /* Generate code to set the component variables of a complex variable to match the PHI statements in block BB. */ static void update_phi_components (basic_block bb) { gimple_stmt_iterator gsi; for (gsi = gsi_start_phis (bb); !gsi_end_p (gsi); gsi_next (&gsi)) { gimple phi = gsi_stmt (gsi); if (is_complex_reg (gimple_phi_result (phi))) { tree lr, li; gimple pr = NULL, pi = NULL; unsigned int i, n; lr = get_component_ssa_name (gimple_phi_result (phi), false); if (TREE_CODE (lr) == SSA_NAME) pr = create_phi_node (lr, bb); li = get_component_ssa_name (gimple_phi_result (phi), true); if (TREE_CODE (li) == SSA_NAME) pi = create_phi_node (li, bb); for (i = 0, n = gimple_phi_num_args (phi); i < n; ++i) { tree comp, arg = gimple_phi_arg_def (phi, i); if (pr) { comp = extract_component (NULL, arg, false, false); SET_PHI_ARG_DEF (pr, i, comp); } if (pi) { comp = extract_component (NULL, arg, true, false); SET_PHI_ARG_DEF (pi, i, comp); } } } } } /* Expand a complex move to scalars. */ static void expand_complex_move (gimple_stmt_iterator *gsi, tree type) { tree inner_type = TREE_TYPE (type); tree r, i, lhs, rhs; gimple stmt = gsi_stmt (*gsi); if (is_gimple_assign (stmt)) { lhs = gimple_assign_lhs (stmt); if (gimple_num_ops (stmt) == 2) rhs = gimple_assign_rhs1 (stmt); else rhs = NULL_TREE; } else if (is_gimple_call (stmt)) { lhs = gimple_call_lhs (stmt); rhs = NULL_TREE; } else gcc_unreachable (); if (TREE_CODE (lhs) == SSA_NAME) { if (is_ctrl_altering_stmt (stmt)) { edge e; /* The value is not assigned on the exception edges, so we need not concern ourselves there. We do need to update on the fallthru edge. Find it. */ e = find_fallthru_edge (gsi_bb (*gsi)->succs); if (!e) gcc_unreachable (); r = build1 (REALPART_EXPR, inner_type, lhs); i = build1 (IMAGPART_EXPR, inner_type, lhs); update_complex_components_on_edge (e, lhs, r, i); } else if (is_gimple_call (stmt) || gimple_has_side_effects (stmt) || gimple_assign_rhs_code (stmt) == PAREN_EXPR) { r = build1 (REALPART_EXPR, inner_type, lhs); i = build1 (IMAGPART_EXPR, inner_type, lhs); update_complex_components (gsi, stmt, r, i); } else { if (gimple_assign_rhs_code (stmt) != COMPLEX_EXPR) { r = extract_component (gsi, rhs, 0, true); i = extract_component (gsi, rhs, 1, true); } else { r = gimple_assign_rhs1 (stmt); i = gimple_assign_rhs2 (stmt); } update_complex_assignment (gsi, r, i); } } else if (rhs && TREE_CODE (rhs) == SSA_NAME && !TREE_SIDE_EFFECTS (lhs)) { tree x; gimple t; r = extract_component (gsi, rhs, 0, false); i = extract_component (gsi, rhs, 1, false); x = build1 (REALPART_EXPR, inner_type, unshare_expr (lhs)); t = gimple_build_assign (x, r); gsi_insert_before (gsi, t, GSI_SAME_STMT); if (stmt == gsi_stmt (*gsi)) { x = build1 (IMAGPART_EXPR, inner_type, unshare_expr (lhs)); gimple_assign_set_lhs (stmt, x); gimple_assign_set_rhs1 (stmt, i); } else { x = build1 (IMAGPART_EXPR, inner_type, unshare_expr (lhs)); t = gimple_build_assign (x, i); gsi_insert_before (gsi, t, GSI_SAME_STMT); stmt = gsi_stmt (*gsi); gcc_assert (gimple_code (stmt) == GIMPLE_RETURN); gimple_return_set_retval (stmt, lhs); } update_stmt (stmt); } } /* Expand complex addition to scalars: a + b = (ar + br) + i(ai + bi) a - b = (ar - br) + i(ai + bi) */ static void expand_complex_addition (gimple_stmt_iterator *gsi, tree inner_type, tree ar, tree ai, tree br, tree bi, enum tree_code code, complex_lattice_t al, complex_lattice_t bl) { tree rr, ri; switch (PAIR (al, bl)) { case PAIR (ONLY_REAL, ONLY_REAL): rr = gimplify_build2 (gsi, code, inner_type, ar, br); ri = ai; break; case PAIR (ONLY_REAL, ONLY_IMAG): rr = ar; if (code == MINUS_EXPR) ri = gimplify_build2 (gsi, MINUS_EXPR, inner_type, ai, bi); else ri = bi; break; case PAIR (ONLY_IMAG, ONLY_REAL): if (code == MINUS_EXPR) rr = gimplify_build2 (gsi, MINUS_EXPR, inner_type, ar, br); else rr = br; ri = ai; break; case PAIR (ONLY_IMAG, ONLY_IMAG): rr = ar; ri = gimplify_build2 (gsi, code, inner_type, ai, bi); break; case PAIR (VARYING, ONLY_REAL): rr = gimplify_build2 (gsi, code, inner_type, ar, br); ri = ai; break; case PAIR (VARYING, ONLY_IMAG): rr = ar; ri = gimplify_build2 (gsi, code, inner_type, ai, bi); break; case PAIR (ONLY_REAL, VARYING): if (code == MINUS_EXPR) goto general; rr = gimplify_build2 (gsi, code, inner_type, ar, br); ri = bi; break; case PAIR (ONLY_IMAG, VARYING): if (code == MINUS_EXPR) goto general; rr = br; ri = gimplify_build2 (gsi, code, inner_type, ai, bi); break; case PAIR (VARYING, VARYING): general: rr = gimplify_build2 (gsi, code, inner_type, ar, br); ri = gimplify_build2 (gsi, code, inner_type, ai, bi); break; default: gcc_unreachable (); } update_complex_assignment (gsi, rr, ri); } /* Expand a complex multiplication or division to a libcall to the c99 compliant routines. */ static void expand_complex_libcall (gimple_stmt_iterator *gsi, tree ar, tree ai, tree br, tree bi, enum tree_code code) { enum machine_mode mode; enum built_in_function bcode; tree fn, type, lhs; gimple old_stmt, stmt; old_stmt = gsi_stmt (*gsi); lhs = gimple_assign_lhs (old_stmt); type = TREE_TYPE (lhs); mode = TYPE_MODE (type); gcc_assert (GET_MODE_CLASS (mode) == MODE_COMPLEX_FLOAT); if (code == MULT_EXPR) bcode = ((enum built_in_function) (BUILT_IN_COMPLEX_MUL_MIN + mode - MIN_MODE_COMPLEX_FLOAT)); else if (code == RDIV_EXPR) bcode = ((enum built_in_function) (BUILT_IN_COMPLEX_DIV_MIN + mode - MIN_MODE_COMPLEX_FLOAT)); else gcc_unreachable (); fn = builtin_decl_explicit (bcode); stmt = gimple_build_call (fn, 4, ar, ai, br, bi); gimple_call_set_lhs (stmt, lhs); update_stmt (stmt); gsi_replace (gsi, stmt, false); if (maybe_clean_or_replace_eh_stmt (old_stmt, stmt)) gimple_purge_dead_eh_edges (gsi_bb (*gsi)); if (gimple_in_ssa_p (cfun)) { type = TREE_TYPE (type); update_complex_components (gsi, stmt, build1 (REALPART_EXPR, type, lhs), build1 (IMAGPART_EXPR, type, lhs)); SSA_NAME_DEF_STMT (lhs) = stmt; } } /* Expand complex multiplication to scalars: a * b = (ar*br - ai*bi) + i(ar*bi + br*ai) */ static void expand_complex_multiplication (gimple_stmt_iterator *gsi, tree inner_type, tree ar, tree ai, tree br, tree bi, complex_lattice_t al, complex_lattice_t bl) { tree rr, ri; if (al < bl) { complex_lattice_t tl; rr = ar, ar = br, br = rr; ri = ai, ai = bi, bi = ri; tl = al, al = bl, bl = tl; } switch (PAIR (al, bl)) { case PAIR (ONLY_REAL, ONLY_REAL): rr = gimplify_build2 (gsi, MULT_EXPR, inner_type, ar, br); ri = ai; break; case PAIR (ONLY_IMAG, ONLY_REAL): rr = ar; if (TREE_CODE (ai) == REAL_CST && REAL_VALUES_IDENTICAL (TREE_REAL_CST (ai), dconst1)) ri = br; else ri = gimplify_build2 (gsi, MULT_EXPR, inner_type, ai, br); break; case PAIR (ONLY_IMAG, ONLY_IMAG): rr = gimplify_build2 (gsi, MULT_EXPR, inner_type, ai, bi); rr = gimplify_build1 (gsi, NEGATE_EXPR, inner_type, rr); ri = ar; break; case PAIR (VARYING, ONLY_REAL): rr = gimplify_build2 (gsi, MULT_EXPR, inner_type, ar, br); ri = gimplify_build2 (gsi, MULT_EXPR, inner_type, ai, br); break; case PAIR (VARYING, ONLY_IMAG): rr = gimplify_build2 (gsi, MULT_EXPR, inner_type, ai, bi); rr = gimplify_build1 (gsi, NEGATE_EXPR, inner_type, rr); ri = gimplify_build2 (gsi, MULT_EXPR, inner_type, ar, bi); break; case PAIR (VARYING, VARYING): if (flag_complex_method == 2 && SCALAR_FLOAT_TYPE_P (inner_type)) { expand_complex_libcall (gsi, ar, ai, br, bi, MULT_EXPR); return; } else { tree t1, t2, t3, t4; t1 = gimplify_build2 (gsi, MULT_EXPR, inner_type, ar, br); t2 = gimplify_build2 (gsi, MULT_EXPR, inner_type, ai, bi); t3 = gimplify_build2 (gsi, MULT_EXPR, inner_type, ar, bi); /* Avoid expanding redundant multiplication for the common case of squaring a complex number. */ if (ar == br && ai == bi) t4 = t3; else t4 = gimplify_build2 (gsi, MULT_EXPR, inner_type, ai, br); rr = gimplify_build2 (gsi, MINUS_EXPR, inner_type, t1, t2); ri = gimplify_build2 (gsi, PLUS_EXPR, inner_type, t3, t4); } break; default: gcc_unreachable (); } update_complex_assignment (gsi, rr, ri); } /* Keep this algorithm in sync with fold-const.c:const_binop(). Expand complex division to scalars, straightforward algorithm. a / b = ((ar*br + ai*bi)/t) + i((ai*br - ar*bi)/t) t = br*br + bi*bi */ static void expand_complex_div_straight (gimple_stmt_iterator *gsi, tree inner_type, tree ar, tree ai, tree br, tree bi, enum tree_code code) { tree rr, ri, div, t1, t2, t3; t1 = gimplify_build2 (gsi, MULT_EXPR, inner_type, br, br); t2 = gimplify_build2 (gsi, MULT_EXPR, inner_type, bi, bi); div = gimplify_build2 (gsi, PLUS_EXPR, inner_type, t1, t2); t1 = gimplify_build2 (gsi, MULT_EXPR, inner_type, ar, br); t2 = gimplify_build2 (gsi, MULT_EXPR, inner_type, ai, bi); t3 = gimplify_build2 (gsi, PLUS_EXPR, inner_type, t1, t2); rr = gimplify_build2 (gsi, code, inner_type, t3, div); t1 = gimplify_build2 (gsi, MULT_EXPR, inner_type, ai, br); t2 = gimplify_build2 (gsi, MULT_EXPR, inner_type, ar, bi); t3 = gimplify_build2 (gsi, MINUS_EXPR, inner_type, t1, t2); ri = gimplify_build2 (gsi, code, inner_type, t3, div); update_complex_assignment (gsi, rr, ri); } /* Keep this algorithm in sync with fold-const.c:const_binop(). Expand complex division to scalars, modified algorithm to minimize overflow with wide input ranges. */ static void expand_complex_div_wide (gimple_stmt_iterator *gsi, tree inner_type, tree ar, tree ai, tree br, tree bi, enum tree_code code) { tree rr, ri, ratio, div, t1, t2, tr, ti, compare; basic_block bb_cond, bb_true, bb_false, bb_join; gimple stmt; /* Examine |br| < |bi|, and branch. */ t1 = gimplify_build1 (gsi, ABS_EXPR, inner_type, br); t2 = gimplify_build1 (gsi, ABS_EXPR, inner_type, bi); compare = fold_build2_loc (gimple_location (gsi_stmt (*gsi)), LT_EXPR, boolean_type_node, t1, t2); STRIP_NOPS (compare); bb_cond = bb_true = bb_false = bb_join = NULL; rr = ri = tr = ti = NULL; if (TREE_CODE (compare) != INTEGER_CST) { edge e; gimple stmt; tree cond, tmp; tmp = create_tmp_var (boolean_type_node, NULL); stmt = gimple_build_assign (tmp, compare); if (gimple_in_ssa_p (cfun)) { tmp = make_ssa_name (tmp, stmt); gimple_assign_set_lhs (stmt, tmp); } gsi_insert_before (gsi, stmt, GSI_SAME_STMT); cond = fold_build2_loc (gimple_location (stmt), EQ_EXPR, boolean_type_node, tmp, boolean_true_node); stmt = gimple_build_cond_from_tree (cond, NULL_TREE, NULL_TREE); gsi_insert_before (gsi, stmt, GSI_SAME_STMT); /* Split the original block, and create the TRUE and FALSE blocks. */ e = split_block (gsi_bb (*gsi), stmt); bb_cond = e->src; bb_join = e->dest; bb_true = create_empty_bb (bb_cond); bb_false = create_empty_bb (bb_true); /* Wire the blocks together. */ e->flags = EDGE_TRUE_VALUE; redirect_edge_succ (e, bb_true); make_edge (bb_cond, bb_false, EDGE_FALSE_VALUE); make_edge (bb_true, bb_join, EDGE_FALLTHRU); make_edge (bb_false, bb_join, EDGE_FALLTHRU); /* Update dominance info. Note that bb_join's data was updated by split_block. */ if (dom_info_available_p (CDI_DOMINATORS)) { set_immediate_dominator (CDI_DOMINATORS, bb_true, bb_cond); set_immediate_dominator (CDI_DOMINATORS, bb_false, bb_cond); } rr = create_tmp_reg (inner_type, NULL); ri = create_tmp_reg (inner_type, NULL); } /* In the TRUE branch, we compute ratio = br/bi; div = (br * ratio) + bi; tr = (ar * ratio) + ai; ti = (ai * ratio) - ar; tr = tr / div; ti = ti / div; */ if (bb_true || integer_nonzerop (compare)) { if (bb_true) { *gsi = gsi_last_bb (bb_true); gsi_insert_after (gsi, gimple_build_nop (), GSI_NEW_STMT); } ratio = gimplify_build2 (gsi, code, inner_type, br, bi); t1 = gimplify_build2 (gsi, MULT_EXPR, inner_type, br, ratio); div = gimplify_build2 (gsi, PLUS_EXPR, inner_type, t1, bi); t1 = gimplify_build2 (gsi, MULT_EXPR, inner_type, ar, ratio); tr = gimplify_build2 (gsi, PLUS_EXPR, inner_type, t1, ai); t1 = gimplify_build2 (gsi, MULT_EXPR, inner_type, ai, ratio); ti = gimplify_build2 (gsi, MINUS_EXPR, inner_type, t1, ar); tr = gimplify_build2 (gsi, code, inner_type, tr, div); ti = gimplify_build2 (gsi, code, inner_type, ti, div); if (bb_true) { stmt = gimple_build_assign (rr, tr); gsi_insert_before (gsi, stmt, GSI_SAME_STMT); stmt = gimple_build_assign (ri, ti); gsi_insert_before (gsi, stmt, GSI_SAME_STMT); gsi_remove (gsi, true); } } /* In the FALSE branch, we compute ratio = d/c; divisor = (d * ratio) + c; tr = (b * ratio) + a; ti = b - (a * ratio); tr = tr / div; ti = ti / div; */ if (bb_false || integer_zerop (compare)) { if (bb_false) { *gsi = gsi_last_bb (bb_false); gsi_insert_after (gsi, gimple_build_nop (), GSI_NEW_STMT); } ratio = gimplify_build2 (gsi, code, inner_type, bi, br); t1 = gimplify_build2 (gsi, MULT_EXPR, inner_type, bi, ratio); div = gimplify_build2 (gsi, PLUS_EXPR, inner_type, t1, br); t1 = gimplify_build2 (gsi, MULT_EXPR, inner_type, ai, ratio); tr = gimplify_build2 (gsi, PLUS_EXPR, inner_type, t1, ar); t1 = gimplify_build2 (gsi, MULT_EXPR, inner_type, ar, ratio); ti = gimplify_build2 (gsi, MINUS_EXPR, inner_type, ai, t1); tr = gimplify_build2 (gsi, code, inner_type, tr, div); ti = gimplify_build2 (gsi, code, inner_type, ti, div); if (bb_false) { stmt = gimple_build_assign (rr, tr); gsi_insert_before (gsi, stmt, GSI_SAME_STMT); stmt = gimple_build_assign (ri, ti); gsi_insert_before (gsi, stmt, GSI_SAME_STMT); gsi_remove (gsi, true); } } if (bb_join) *gsi = gsi_start_bb (bb_join); else rr = tr, ri = ti; update_complex_assignment (gsi, rr, ri); } /* Expand complex division to scalars. */ static void expand_complex_division (gimple_stmt_iterator *gsi, tree inner_type, tree ar, tree ai, tree br, tree bi, enum tree_code code, complex_lattice_t al, complex_lattice_t bl) { tree rr, ri; switch (PAIR (al, bl)) { case PAIR (ONLY_REAL, ONLY_REAL): rr = gimplify_build2 (gsi, code, inner_type, ar, br); ri = ai; break; case PAIR (ONLY_REAL, ONLY_IMAG): rr = ai; ri = gimplify_build2 (gsi, code, inner_type, ar, bi); ri = gimplify_build1 (gsi, NEGATE_EXPR, inner_type, ri); break; case PAIR (ONLY_IMAG, ONLY_REAL): rr = ar; ri = gimplify_build2 (gsi, code, inner_type, ai, br); break; case PAIR (ONLY_IMAG, ONLY_IMAG): rr = gimplify_build2 (gsi, code, inner_type, ai, bi); ri = ar; break; case PAIR (VARYING, ONLY_REAL): rr = gimplify_build2 (gsi, code, inner_type, ar, br); ri = gimplify_build2 (gsi, code, inner_type, ai, br); break; case PAIR (VARYING, ONLY_IMAG): rr = gimplify_build2 (gsi, code, inner_type, ai, bi); ri = gimplify_build2 (gsi, code, inner_type, ar, bi); ri = gimplify_build1 (gsi, NEGATE_EXPR, inner_type, ri); case PAIR (ONLY_REAL, VARYING): case PAIR (ONLY_IMAG, VARYING): case PAIR (VARYING, VARYING): switch (flag_complex_method) { case 0: /* straightforward implementation of complex divide acceptable. */ expand_complex_div_straight (gsi, inner_type, ar, ai, br, bi, code); break; case 2: if (SCALAR_FLOAT_TYPE_P (inner_type)) { expand_complex_libcall (gsi, ar, ai, br, bi, code); break; } /* FALLTHRU */ case 1: /* wide ranges of inputs must work for complex divide. */ expand_complex_div_wide (gsi, inner_type, ar, ai, br, bi, code); break; default: gcc_unreachable (); } return; default: gcc_unreachable (); } update_complex_assignment (gsi, rr, ri); } /* Expand complex negation to scalars: -a = (-ar) + i(-ai) */ static void expand_complex_negation (gimple_stmt_iterator *gsi, tree inner_type, tree ar, tree ai) { tree rr, ri; rr = gimplify_build1 (gsi, NEGATE_EXPR, inner_type, ar); ri = gimplify_build1 (gsi, NEGATE_EXPR, inner_type, ai); update_complex_assignment (gsi, rr, ri); } /* Expand complex conjugate to scalars: ~a = (ar) + i(-ai) */ static void expand_complex_conjugate (gimple_stmt_iterator *gsi, tree inner_type, tree ar, tree ai) { tree ri; ri = gimplify_build1 (gsi, NEGATE_EXPR, inner_type, ai); update_complex_assignment (gsi, ar, ri); } /* Expand complex comparison (EQ or NE only). */ static void expand_complex_comparison (gimple_stmt_iterator *gsi, tree ar, tree ai, tree br, tree bi, enum tree_code code) { tree cr, ci, cc, type; gimple stmt; cr = gimplify_build2 (gsi, code, boolean_type_node, ar, br); ci = gimplify_build2 (gsi, code, boolean_type_node, ai, bi); cc = gimplify_build2 (gsi, (code == EQ_EXPR ? TRUTH_AND_EXPR : TRUTH_OR_EXPR), boolean_type_node, cr, ci); stmt = gsi_stmt (*gsi); switch (gimple_code (stmt)) { case GIMPLE_RETURN: type = TREE_TYPE (gimple_return_retval (stmt)); gimple_return_set_retval (stmt, fold_convert (type, cc)); break; case GIMPLE_ASSIGN: type = TREE_TYPE (gimple_assign_lhs (stmt)); gimple_assign_set_rhs_from_tree (gsi, fold_convert (type, cc)); stmt = gsi_stmt (*gsi); break; case GIMPLE_COND: gimple_cond_set_code (stmt, EQ_EXPR); gimple_cond_set_lhs (stmt, cc); gimple_cond_set_rhs (stmt, boolean_true_node); break; default: gcc_unreachable (); } update_stmt (stmt); } /* Process one statement. If we identify a complex operation, expand it. */ static void expand_complex_operations_1 (gimple_stmt_iterator *gsi) { gimple stmt = gsi_stmt (*gsi); tree type, inner_type, lhs; tree ac, ar, ai, bc, br, bi; complex_lattice_t al, bl; enum tree_code code; lhs = gimple_get_lhs (stmt); if (!lhs && gimple_code (stmt) != GIMPLE_COND) return; type = TREE_TYPE (gimple_op (stmt, 0)); code = gimple_expr_code (stmt); /* Initial filter for operations we handle. */ switch (code) { case PLUS_EXPR: case MINUS_EXPR: case MULT_EXPR: case TRUNC_DIV_EXPR: case CEIL_DIV_EXPR: case FLOOR_DIV_EXPR: case ROUND_DIV_EXPR: case RDIV_EXPR: case NEGATE_EXPR: case CONJ_EXPR: if (TREE_CODE (type) != COMPLEX_TYPE) return; inner_type = TREE_TYPE (type); break; case EQ_EXPR: case NE_EXPR: /* Note, both GIMPLE_ASSIGN and GIMPLE_COND may have an EQ_EXPR subocde, so we need to access the operands using gimple_op. */ inner_type = TREE_TYPE (gimple_op (stmt, 1)); if (TREE_CODE (inner_type) != COMPLEX_TYPE) return; break; default: { tree rhs; /* GIMPLE_COND may also fallthru here, but we do not need to do anything with it. */ if (gimple_code (stmt) == GIMPLE_COND) return; if (TREE_CODE (type) == COMPLEX_TYPE) expand_complex_move (gsi, type); else if (is_gimple_assign (stmt) && (gimple_assign_rhs_code (stmt) == REALPART_EXPR || gimple_assign_rhs_code (stmt) == IMAGPART_EXPR) && TREE_CODE (lhs) == SSA_NAME) { rhs = gimple_assign_rhs1 (stmt); rhs = extract_component (gsi, TREE_OPERAND (rhs, 0), gimple_assign_rhs_code (stmt) == IMAGPART_EXPR, false); gimple_assign_set_rhs_from_tree (gsi, rhs); stmt = gsi_stmt (*gsi); update_stmt (stmt); } } return; } /* Extract the components of the two complex values. Make sure and handle the common case of the same value used twice specially. */ if (is_gimple_assign (stmt)) { ac = gimple_assign_rhs1 (stmt); bc = (gimple_num_ops (stmt) > 2) ? gimple_assign_rhs2 (stmt) : NULL; } /* GIMPLE_CALL can not get here. */ else { ac = gimple_cond_lhs (stmt); bc = gimple_cond_rhs (stmt); } ar = extract_component (gsi, ac, false, true); ai = extract_component (gsi, ac, true, true); if (ac == bc) br = ar, bi = ai; else if (bc) { br = extract_component (gsi, bc, 0, true); bi = extract_component (gsi, bc, 1, true); } else br = bi = NULL_TREE; if (gimple_in_ssa_p (cfun)) { al = find_lattice_value (ac); if (al == UNINITIALIZED) al = VARYING; if (TREE_CODE_CLASS (code) == tcc_unary) bl = UNINITIALIZED; else if (ac == bc) bl = al; else { bl = find_lattice_value (bc); if (bl == UNINITIALIZED) bl = VARYING; } } else al = bl = VARYING; switch (code) { case PLUS_EXPR: case MINUS_EXPR: expand_complex_addition (gsi, inner_type, ar, ai, br, bi, code, al, bl); break; case MULT_EXPR: expand_complex_multiplication (gsi, inner_type, ar, ai, br, bi, al, bl); break; case TRUNC_DIV_EXPR: case CEIL_DIV_EXPR: case FLOOR_DIV_EXPR: case ROUND_DIV_EXPR: case RDIV_EXPR: expand_complex_division (gsi, inner_type, ar, ai, br, bi, code, al, bl); break; case NEGATE_EXPR: expand_complex_negation (gsi, inner_type, ar, ai); break; case CONJ_EXPR: expand_complex_conjugate (gsi, inner_type, ar, ai); break; case EQ_EXPR: case NE_EXPR: expand_complex_comparison (gsi, ar, ai, br, bi, code); break; default: gcc_unreachable (); } } /* Entry point for complex operation lowering during optimization. */ static unsigned int tree_lower_complex (void) { int old_last_basic_block; gimple_stmt_iterator gsi; basic_block bb; if (!init_dont_simulate_again ()) return 0; complex_lattice_values.create (num_ssa_names); complex_lattice_values.safe_grow_cleared (num_ssa_names); init_parameter_lattice_values (); ssa_propagate (complex_visit_stmt, complex_visit_phi); complex_variable_components = htab_create (10, int_tree_map_hash, int_tree_map_eq, free); complex_ssa_name_components.create (2 * num_ssa_names); complex_ssa_name_components.safe_grow_cleared (2 * num_ssa_names); update_parameter_components (); /* ??? Ideally we'd traverse the blocks in breadth-first order. */ old_last_basic_block = last_basic_block; FOR_EACH_BB (bb) { if (bb->index >= old_last_basic_block) continue; update_phi_components (bb); for (gsi = gsi_start_bb (bb); !gsi_end_p (gsi); gsi_next (&gsi)) expand_complex_operations_1 (&gsi); } gsi_commit_edge_inserts (); htab_delete (complex_variable_components); complex_ssa_name_components.release (); complex_lattice_values.release (); return 0; } struct gimple_opt_pass pass_lower_complex = { { GIMPLE_PASS, "cplxlower", /* name */ OPTGROUP_NONE, /* optinfo_flags */ 0, /* gate */ tree_lower_complex, /* execute */ NULL, /* sub */ NULL, /* next */ 0, /* static_pass_number */ TV_NONE, /* tv_id */ PROP_ssa, /* properties_required */ PROP_gimple_lcx, /* properties_provided */ 0, /* properties_destroyed */ 0, /* todo_flags_start */ TODO_ggc_collect | TODO_update_ssa | TODO_verify_stmts /* todo_flags_finish */ } }; static bool gate_no_optimization (void) { /* With errors, normal optimization passes are not run. If we don't lower complex operations at all, rtl expansion will abort. */ return !(cfun->curr_properties & PROP_gimple_lcx); } struct gimple_opt_pass pass_lower_complex_O0 = { { GIMPLE_PASS, "cplxlower0", /* name */ OPTGROUP_NONE, /* optinfo_flags */ gate_no_optimization, /* gate */ tree_lower_complex, /* execute */ NULL, /* sub */ NULL, /* next */ 0, /* static_pass_number */ TV_NONE, /* tv_id */ PROP_cfg, /* properties_required */ PROP_gimple_lcx, /* properties_provided */ 0, /* properties_destroyed */ 0, /* todo_flags_start */ TODO_ggc_collect | TODO_update_ssa | TODO_verify_stmts /* todo_flags_finish */ } };