/* Lower complex number operations to scalar operations. Copyright (C) 2004, 2005 Free Software Foundation, Inc. This file is part of GCC. GCC is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2, or (at your option) any later version. GCC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with GCC; see the file COPYING. If not, write to the Free Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #include "config.h" #include "system.h" #include "coretypes.h" #include "tree.h" #include "tm.h" #include "rtl.h" #include "expr.h" #include "insn-codes.h" #include "diagnostic.h" #include "optabs.h" #include "machmode.h" #include "langhooks.h" #include "tree-flow.h" #include "tree-gimple.h" #include "tree-iterator.h" #include "tree-pass.h" #include "flags.h" #include "ggc.h" /* 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 BSI. */ static tree extract_component (block_stmt_iterator *bsi, tree t, bool imagpart_p) { tree ret, inner_type; inner_type = TREE_TYPE (TREE_TYPE (t)); switch (TREE_CODE (t)) { case COMPLEX_CST: ret = (imagpart_p ? TREE_IMAGPART (t) : TREE_REALPART (t)); break; case COMPLEX_EXPR: ret = TREE_OPERAND (t, imagpart_p); break; case VAR_DECL: case PARM_DECL: ret = build1 ((imagpart_p ? IMAGPART_EXPR : REALPART_EXPR), inner_type, t); break; default: gcc_unreachable (); } return gimplify_val (bsi, inner_type, ret); } /* Update an assignment to a complex variable in place. */ static void update_complex_assignment (block_stmt_iterator *bsi, tree r, tree i) { tree stmt = bsi_stmt (*bsi); tree type; if (TREE_CODE (stmt) == RETURN_EXPR) stmt = TREE_OPERAND (stmt, 0); type = TREE_TYPE (TREE_OPERAND (stmt, 1)); TREE_OPERAND (stmt, 1) = build (COMPLEX_EXPR, type, r, i); mark_stmt_modified (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 (block_stmt_iterator *bsi, tree inner_type, tree ar, tree ai, tree br, tree bi, enum tree_code code) { tree rr, ri; rr = gimplify_build2 (bsi, code, inner_type, ar, br); ri = gimplify_build2 (bsi, code, inner_type, ai, bi); update_complex_assignment (bsi, rr, ri); } /* Expand a complex multiplication or division to a libcall to the c99 compliant routines. */ static void expand_complex_libcall (block_stmt_iterator *bsi, tree ar, tree ai, tree br, tree bi, enum tree_code code) { enum machine_mode mode; enum built_in_function bcode; tree args, fn, stmt, type; args = tree_cons (NULL, bi, NULL); args = tree_cons (NULL, br, args); args = tree_cons (NULL, ai, args); args = tree_cons (NULL, ar, args); stmt = bsi_stmt (*bsi); type = TREE_TYPE (TREE_OPERAND (stmt, 1)); mode = TYPE_MODE (type); gcc_assert (GET_MODE_CLASS (mode) == MODE_COMPLEX_FLOAT); if (code == MULT_EXPR) bcode = BUILT_IN_COMPLEX_MUL_MIN + mode - MIN_MODE_COMPLEX_FLOAT; else if (code == RDIV_EXPR) bcode = BUILT_IN_COMPLEX_DIV_MIN + mode - MIN_MODE_COMPLEX_FLOAT; else gcc_unreachable (); fn = built_in_decls[bcode]; TREE_OPERAND (stmt, 1) = build3 (CALL_EXPR, type, build_fold_addr_expr (fn), args, NULL); update_stmt (stmt); } /* Expand complex multiplication to scalars: a * b = (ar*br - ai*bi) + i(ar*bi + br*ai) */ static void expand_complex_multiplication (block_stmt_iterator *bsi, tree inner_type, tree ar, tree ai, tree br, tree bi) { tree t1, t2, t3, t4, rr, ri; if (flag_complex_method == 2 && SCALAR_FLOAT_TYPE_P (inner_type)) { expand_complex_libcall (bsi, ar, ai, br, bi, MULT_EXPR); return; } t1 = gimplify_build2 (bsi, MULT_EXPR, inner_type, ar, br); t2 = gimplify_build2 (bsi, MULT_EXPR, inner_type, ai, bi); t3 = gimplify_build2 (bsi, 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 (bsi, MULT_EXPR, inner_type, ai, br); rr = gimplify_build2 (bsi, MINUS_EXPR, inner_type, t1, t2); ri = gimplify_build2 (bsi, PLUS_EXPR, inner_type, t3, t4); update_complex_assignment (bsi, rr, ri); } /* 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 (block_stmt_iterator *bsi, 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 (bsi, MULT_EXPR, inner_type, br, br); t2 = gimplify_build2 (bsi, MULT_EXPR, inner_type, bi, bi); div = gimplify_build2 (bsi, PLUS_EXPR, inner_type, t1, t2); t1 = gimplify_build2 (bsi, MULT_EXPR, inner_type, ar, br); t2 = gimplify_build2 (bsi, MULT_EXPR, inner_type, ai, bi); t3 = gimplify_build2 (bsi, PLUS_EXPR, inner_type, t1, t2); rr = gimplify_build2 (bsi, code, inner_type, t3, div); t1 = gimplify_build2 (bsi, MULT_EXPR, inner_type, ai, br); t2 = gimplify_build2 (bsi, MULT_EXPR, inner_type, ar, bi); t3 = gimplify_build2 (bsi, MINUS_EXPR, inner_type, t1, t2); ri = gimplify_build2 (bsi, code, inner_type, t3, div); update_complex_assignment (bsi, rr, ri); } /* Expand complex division to scalars, modified algorithm to minimize overflow with wide input ranges. */ static void expand_complex_div_wide (block_stmt_iterator *bsi, tree inner_type, tree ar, tree ai, tree br, tree bi, enum tree_code code) { tree rr, ri, ratio, div, t1, t2, tr, ti, cond; basic_block bb_cond, bb_true, bb_false, bb_join; /* Examine |br| < |bi|, and branch. */ t1 = gimplify_build1 (bsi, ABS_EXPR, inner_type, br); t2 = gimplify_build1 (bsi, ABS_EXPR, inner_type, bi); cond = fold (build (LT_EXPR, boolean_type_node, t1, t2)); STRIP_NOPS (cond); bb_cond = bb_true = bb_false = bb_join = NULL; rr = ri = tr = ti = NULL; if (!TREE_CONSTANT (cond)) { edge e; cond = build (COND_EXPR, void_type_node, cond, NULL, NULL); bsi_insert_before (bsi, cond, BSI_SAME_STMT); /* Split the original block, and create the TRUE and FALSE blocks. */ e = split_block (bsi->bb, cond); bb_cond = e->src; bb_join = e->dest; bb_true = create_empty_bb (bb_cond); bb_false = create_empty_bb (bb_true); t1 = build (GOTO_EXPR, void_type_node, tree_block_label (bb_true)); t2 = build (GOTO_EXPR, void_type_node, tree_block_label (bb_false)); COND_EXPR_THEN (cond) = t1; COND_EXPR_ELSE (cond) = t2; /* 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 = make_rename_temp (inner_type, NULL); ri = make_rename_temp (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 (cond)) { if (bb_true) { *bsi = bsi_last (bb_true); bsi_insert_after (bsi, build_empty_stmt (), BSI_NEW_STMT); } ratio = gimplify_build2 (bsi, code, inner_type, br, bi); t1 = gimplify_build2 (bsi, MULT_EXPR, inner_type, br, ratio); div = gimplify_build2 (bsi, PLUS_EXPR, inner_type, t1, bi); t1 = gimplify_build2 (bsi, MULT_EXPR, inner_type, ar, ratio); tr = gimplify_build2 (bsi, PLUS_EXPR, inner_type, t1, ai); t1 = gimplify_build2 (bsi, MULT_EXPR, inner_type, ai, ratio); ti = gimplify_build2 (bsi, MINUS_EXPR, inner_type, t1, ar); tr = gimplify_build2 (bsi, code, inner_type, tr, div); ti = gimplify_build2 (bsi, code, inner_type, ti, div); if (bb_true) { t1 = build (MODIFY_EXPR, inner_type, rr, tr); bsi_insert_before (bsi, t1, BSI_SAME_STMT); t1 = build (MODIFY_EXPR, inner_type, ri, ti); bsi_insert_before (bsi, t1, BSI_SAME_STMT); bsi_remove (bsi); } } /* 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 (cond)) { if (bb_false) { *bsi = bsi_last (bb_false); bsi_insert_after (bsi, build_empty_stmt (), BSI_NEW_STMT); } ratio = gimplify_build2 (bsi, code, inner_type, bi, br); t1 = gimplify_build2 (bsi, MULT_EXPR, inner_type, bi, ratio); div = gimplify_build2 (bsi, PLUS_EXPR, inner_type, t1, br); t1 = gimplify_build2 (bsi, MULT_EXPR, inner_type, ai, ratio); tr = gimplify_build2 (bsi, PLUS_EXPR, inner_type, t1, ar); t1 = gimplify_build2 (bsi, MULT_EXPR, inner_type, ar, ratio); ti = gimplify_build2 (bsi, MINUS_EXPR, inner_type, ai, t1); tr = gimplify_build2 (bsi, code, inner_type, tr, div); ti = gimplify_build2 (bsi, code, inner_type, ti, div); if (bb_false) { t1 = build (MODIFY_EXPR, inner_type, rr, tr); bsi_insert_before (bsi, t1, BSI_SAME_STMT); t1 = build (MODIFY_EXPR, inner_type, ri, ti); bsi_insert_before (bsi, t1, BSI_SAME_STMT); bsi_remove (bsi); } } if (bb_join) *bsi = bsi_start (bb_join); else rr = tr, ri = ti; update_complex_assignment (bsi, rr, ri); } /* Expand complex division to scalars. */ static void expand_complex_division (block_stmt_iterator *bsi, tree inner_type, tree ar, tree ai, tree br, tree bi, enum tree_code code) { switch (flag_complex_method) { case 0: /* straightforward implementation of complex divide acceptable. */ expand_complex_div_straight (bsi, inner_type, ar, ai, br, bi, code); break; case 2: if (SCALAR_FLOAT_TYPE_P (inner_type)) { expand_complex_libcall (bsi, ar, ai, br, bi, code); return; } /* FALLTHRU */ case 1: /* wide ranges of inputs must work for complex divide. */ expand_complex_div_wide (bsi, inner_type, ar, ai, br, bi, code); break; default: gcc_unreachable (); } } /* Expand complex negation to scalars: -a = (-ar) + i(-ai) */ static void expand_complex_negation (block_stmt_iterator *bsi, tree inner_type, tree ar, tree ai) { tree rr, ri; rr = gimplify_build1 (bsi, NEGATE_EXPR, inner_type, ar); ri = gimplify_build1 (bsi, NEGATE_EXPR, inner_type, ai); update_complex_assignment (bsi, rr, ri); } /* Expand complex conjugate to scalars: ~a = (ar) + i(-ai) */ static void expand_complex_conjugate (block_stmt_iterator *bsi, tree inner_type, tree ar, tree ai) { tree ri; ri = gimplify_build1 (bsi, NEGATE_EXPR, inner_type, ai); update_complex_assignment (bsi, ar, ri); } /* Expand complex comparison (EQ or NE only). */ static void expand_complex_comparison (block_stmt_iterator *bsi, tree ar, tree ai, tree br, tree bi, enum tree_code code) { tree cr, ci, cc, stmt, expr, type; cr = gimplify_build2 (bsi, code, boolean_type_node, ar, br); ci = gimplify_build2 (bsi, code, boolean_type_node, ai, bi); cc = gimplify_build2 (bsi, (code == EQ_EXPR ? TRUTH_AND_EXPR : TRUTH_OR_EXPR), boolean_type_node, cr, ci); stmt = expr = bsi_stmt (*bsi); switch (TREE_CODE (stmt)) { case RETURN_EXPR: expr = TREE_OPERAND (stmt, 0); /* FALLTHRU */ case MODIFY_EXPR: type = TREE_TYPE (TREE_OPERAND (expr, 1)); TREE_OPERAND (expr, 1) = fold_convert (type, cc); break; case COND_EXPR: TREE_OPERAND (stmt, 0) = cc; break; default: gcc_unreachable (); } mark_stmt_modified (stmt); } /* Process one statement. If we identify a complex operation, expand it. */ static void expand_complex_operations_1 (block_stmt_iterator *bsi) { tree stmt = bsi_stmt (*bsi); tree rhs, type, inner_type; tree ac, ar, ai, bc, br, bi; enum tree_code code; switch (TREE_CODE (stmt)) { case RETURN_EXPR: stmt = TREE_OPERAND (stmt, 0); if (!stmt) return; if (TREE_CODE (stmt) != MODIFY_EXPR) return; /* FALLTHRU */ case MODIFY_EXPR: rhs = TREE_OPERAND (stmt, 1); break; case COND_EXPR: rhs = TREE_OPERAND (stmt, 0); break; default: return; } type = TREE_TYPE (rhs); code = TREE_CODE (rhs); /* 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: inner_type = TREE_TYPE (TREE_OPERAND (rhs, 1)); if (TREE_CODE (inner_type) != COMPLEX_TYPE) return; break; default: return; } /* Extract the components of the two complex values. Make sure and handle the common case of the same value used twice specially. */ ac = TREE_OPERAND (rhs, 0); ar = extract_component (bsi, ac, 0); ai = extract_component (bsi, ac, 1); if (TREE_CODE_CLASS (code) == tcc_unary) bc = br = bi = NULL; else { bc = TREE_OPERAND (rhs, 1); if (ac == bc) br = ar, bi = ai; else { br = extract_component (bsi, bc, 0); bi = extract_component (bsi, bc, 1); } } switch (code) { case PLUS_EXPR: case MINUS_EXPR: expand_complex_addition (bsi, inner_type, ar, ai, br, bi, code); break; case MULT_EXPR: expand_complex_multiplication (bsi, inner_type, ar, ai, br, bi); break; case TRUNC_DIV_EXPR: case CEIL_DIV_EXPR: case FLOOR_DIV_EXPR: case ROUND_DIV_EXPR: case RDIV_EXPR: expand_complex_division (bsi, inner_type, ar, ai, br, bi, code); break; case NEGATE_EXPR: expand_complex_negation (bsi, inner_type, ar, ai); break; case CONJ_EXPR: expand_complex_conjugate (bsi, inner_type, ar, ai); break; case EQ_EXPR: case NE_EXPR: expand_complex_comparison (bsi, ar, ai, br, bi, code); break; default: gcc_unreachable (); } update_stmt_if_modified (stmt); } static void tree_lower_complex (void) { int old_last_basic_block = last_basic_block; block_stmt_iterator bsi; basic_block bb; FOR_EACH_BB (bb) { if (bb->index >= old_last_basic_block) continue; for (bsi = bsi_start (bb); !bsi_end_p (bsi); bsi_next (&bsi)) expand_complex_operations_1 (&bsi); } } struct tree_opt_pass pass_lower_complex = { "cplxlower", /* name */ 0, /* gate */ tree_lower_complex, /* execute */ NULL, /* sub */ NULL, /* next */ 0, /* static_pass_number */ 0, /* tv_id */ PROP_cfg, /* properties_required */ 0, /* properties_provided */ 0, /* properties_destroyed */ 0, /* todo_flags_start */ TODO_dump_func | TODO_ggc_collect | TODO_verify_stmts, /* todo_flags_finish */ 0 /* letter */ };