/* * Copyright © 2010 Intel Corporation * * Permission is hereby granted, free of charge, to any person obtaining a * copy of this software and associated documentation files (the "Software"), * to deal in the Software without restriction, including without limitation * the rights to use, copy, modify, merge, publish, distribute, sublicense, * and/or sell copies of the Software, and to permit persons to whom the * Software is furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice (including the next * paragraph) shall be included in all copies or substantial portions of the * Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER * DEALINGS IN THE SOFTWARE. */ /** * \file opt_algebraic.cpp * * Takes advantage of association, commutivity, and other algebraic * properties to simplify expressions. */ #include "ir.h" #include "ir_visitor.h" #include "ir_rvalue_visitor.h" #include "ir_optimization.h" #include "ir_builder.h" #include "glsl_types.h" using namespace ir_builder; namespace { /** * Visitor class for replacing expressions with ir_constant values. */ class ir_algebraic_visitor : public ir_rvalue_visitor { public: ir_algebraic_visitor(bool native_integers, const struct gl_shader_compiler_options *options) : options(options) { this->progress = false; this->mem_ctx = NULL; this->native_integers = native_integers; } virtual ~ir_algebraic_visitor() { } ir_rvalue *handle_expression(ir_expression *ir); void handle_rvalue(ir_rvalue **rvalue); bool reassociate_constant(ir_expression *ir1, int const_index, ir_constant *constant, ir_expression *ir2); void reassociate_operands(ir_expression *ir1, int op1, ir_expression *ir2, int op2); ir_rvalue *swizzle_if_required(ir_expression *expr, ir_rvalue *operand); const struct gl_shader_compiler_options *options; void *mem_ctx; bool native_integers; bool progress; }; } /* unnamed namespace */ static inline bool is_vec_zero(ir_constant *ir) { return (ir == NULL) ? false : ir->is_zero(); } static inline bool is_vec_one(ir_constant *ir) { return (ir == NULL) ? false : ir->is_one(); } static inline bool is_vec_two(ir_constant *ir) { return (ir == NULL) ? false : ir->is_value(2.0, 2); } static inline bool is_vec_negative_one(ir_constant *ir) { return (ir == NULL) ? false : ir->is_negative_one(); } static inline bool is_valid_vec_const(ir_constant *ir) { if (ir == NULL) return false; if (!ir->type->is_scalar() && !ir->type->is_vector()) return false; return true; } static inline bool is_less_than_one(ir_constant *ir) { if (!is_valid_vec_const(ir)) return false; unsigned component = 0; for (int c = 0; c < ir->type->vector_elements; c++) { if (ir->get_float_component(c) < 1.0f) component++; } return (component == ir->type->vector_elements); } static inline bool is_greater_than_zero(ir_constant *ir) { if (!is_valid_vec_const(ir)) return false; unsigned component = 0; for (int c = 0; c < ir->type->vector_elements; c++) { if (ir->get_float_component(c) > 0.0f) component++; } return (component == ir->type->vector_elements); } static void update_type(ir_expression *ir) { if (ir->operands[0]->type->is_vector()) ir->type = ir->operands[0]->type; else ir->type = ir->operands[1]->type; } /* Recognize (v.x + v.y) + (v.z + v.w) as dot(v, 1.0) */ static ir_expression * try_replace_with_dot(ir_expression *expr0, ir_expression *expr1, void *mem_ctx) { if (expr0 && expr0->operation == ir_binop_add && expr0->type->is_float() && expr1 && expr1->operation == ir_binop_add && expr1->type->is_float()) { ir_swizzle *x = expr0->operands[0]->as_swizzle(); ir_swizzle *y = expr0->operands[1]->as_swizzle(); ir_swizzle *z = expr1->operands[0]->as_swizzle(); ir_swizzle *w = expr1->operands[1]->as_swizzle(); if (!x || x->mask.num_components != 1 || !y || y->mask.num_components != 1 || !z || z->mask.num_components != 1 || !w || w->mask.num_components != 1) { return NULL; } bool swiz_seen[4] = {false, false, false, false}; swiz_seen[x->mask.x] = true; swiz_seen[y->mask.x] = true; swiz_seen[z->mask.x] = true; swiz_seen[w->mask.x] = true; if (!swiz_seen[0] || !swiz_seen[1] || !swiz_seen[2] || !swiz_seen[3]) { return NULL; } if (x->val->equals(y->val) && x->val->equals(z->val) && x->val->equals(w->val)) { return dot(x->val, new(mem_ctx) ir_constant(1.0f, 4)); } } return NULL; } void ir_algebraic_visitor::reassociate_operands(ir_expression *ir1, int op1, ir_expression *ir2, int op2) { ir_rvalue *temp = ir2->operands[op2]; ir2->operands[op2] = ir1->operands[op1]; ir1->operands[op1] = temp; /* Update the type of ir2. The type of ir1 won't have changed -- * base types matched, and at least one of the operands of the 2 * binops is still a vector if any of them were. */ update_type(ir2); this->progress = true; } /** * Reassociates a constant down a tree of adds or multiplies. * * Consider (2 * (a * (b * 0.5))). We want to send up with a * b. */ bool ir_algebraic_visitor::reassociate_constant(ir_expression *ir1, int const_index, ir_constant *constant, ir_expression *ir2) { if (!ir2 || ir1->operation != ir2->operation) return false; /* Don't want to even think about matrices. */ if (ir1->operands[0]->type->is_matrix() || ir1->operands[1]->type->is_matrix() || ir2->operands[0]->type->is_matrix() || ir2->operands[1]->type->is_matrix()) return false; ir_constant *ir2_const[2]; ir2_const[0] = ir2->operands[0]->constant_expression_value(); ir2_const[1] = ir2->operands[1]->constant_expression_value(); if (ir2_const[0] && ir2_const[1]) return false; if (ir2_const[0]) { reassociate_operands(ir1, const_index, ir2, 1); return true; } else if (ir2_const[1]) { reassociate_operands(ir1, const_index, ir2, 0); return true; } if (reassociate_constant(ir1, const_index, constant, ir2->operands[0]->as_expression())) { update_type(ir2); return true; } if (reassociate_constant(ir1, const_index, constant, ir2->operands[1]->as_expression())) { update_type(ir2); return true; } return false; } /* When eliminating an expression and just returning one of its operands, * we may need to swizzle that operand out to a vector if the expression was * vector type. */ ir_rvalue * ir_algebraic_visitor::swizzle_if_required(ir_expression *expr, ir_rvalue *operand) { if (expr->type->is_vector() && operand->type->is_scalar()) { return new(mem_ctx) ir_swizzle(operand, 0, 0, 0, 0, expr->type->vector_elements); } else return operand; } ir_rvalue * ir_algebraic_visitor::handle_expression(ir_expression *ir) { ir_constant *op_const[4] = {NULL, NULL, NULL, NULL}; ir_expression *op_expr[4] = {NULL, NULL, NULL, NULL}; unsigned int i; assert(ir->get_num_operands() <= 4); for (i = 0; i < ir->get_num_operands(); i++) { if (ir->operands[i]->type->is_matrix()) return ir; op_const[i] = ir->operands[i]->constant_expression_value(); op_expr[i] = ir->operands[i]->as_expression(); } if (this->mem_ctx == NULL) this->mem_ctx = ralloc_parent(ir); switch (ir->operation) { case ir_unop_bit_not: if (op_expr[0] && op_expr[0]->operation == ir_unop_bit_not) return op_expr[0]->operands[0]; break; case ir_unop_abs: if (op_expr[0] == NULL) break; switch (op_expr[0]->operation) { case ir_unop_abs: case ir_unop_neg: return abs(op_expr[0]->operands[0]); default: break; } break; case ir_unop_neg: if (op_expr[0] == NULL) break; if (op_expr[0]->operation == ir_unop_neg) { return op_expr[0]->operands[0]; } break; case ir_unop_exp: if (op_expr[0] == NULL) break; if (op_expr[0]->operation == ir_unop_log) { return op_expr[0]->operands[0]; } break; case ir_unop_log: if (op_expr[0] == NULL) break; if (op_expr[0]->operation == ir_unop_exp) { return op_expr[0]->operands[0]; } break; case ir_unop_exp2: if (op_expr[0] == NULL) break; if (op_expr[0]->operation == ir_unop_log2) { return op_expr[0]->operands[0]; } if (!options->EmitNoPow && op_expr[0]->operation == ir_binop_mul) { for (int log2_pos = 0; log2_pos < 2; log2_pos++) { ir_expression *log2_expr = op_expr[0]->operands[log2_pos]->as_expression(); if (log2_expr && log2_expr->operation == ir_unop_log2) { return new(mem_ctx) ir_expression(ir_binop_pow, ir->type, log2_expr->operands[0], op_expr[0]->operands[1 - log2_pos]); } } } break; case ir_unop_log2: if (op_expr[0] == NULL) break; if (op_expr[0]->operation == ir_unop_exp2) { return op_expr[0]->operands[0]; } break; case ir_unop_logic_not: { enum ir_expression_operation new_op = ir_unop_logic_not; if (op_expr[0] == NULL) break; switch (op_expr[0]->operation) { case ir_binop_less: new_op = ir_binop_gequal; break; case ir_binop_greater: new_op = ir_binop_lequal; break; case ir_binop_lequal: new_op = ir_binop_greater; break; case ir_binop_gequal: new_op = ir_binop_less; break; case ir_binop_equal: new_op = ir_binop_nequal; break; case ir_binop_nequal: new_op = ir_binop_equal; break; case ir_binop_all_equal: new_op = ir_binop_any_nequal; break; case ir_binop_any_nequal: new_op = ir_binop_all_equal; break; default: /* The default case handler is here to silence a warning from GCC. */ break; } if (new_op != ir_unop_logic_not) { return new(mem_ctx) ir_expression(new_op, ir->type, op_expr[0]->operands[0], op_expr[0]->operands[1]); } break; } case ir_binop_add: if (is_vec_zero(op_const[0])) return ir->operands[1]; if (is_vec_zero(op_const[1])) return ir->operands[0]; /* Reassociate addition of constants so that we can do constant * folding. */ if (op_const[0] && !op_const[1]) reassociate_constant(ir, 0, op_const[0], op_expr[1]); if (op_const[1] && !op_const[0]) reassociate_constant(ir, 1, op_const[1], op_expr[0]); /* Recognize (v.x + v.y) + (v.z + v.w) as dot(v, 1.0) */ if (options->OptimizeForAOS) { ir_expression *expr = try_replace_with_dot(op_expr[0], op_expr[1], mem_ctx); if (expr) return expr; } /* Replace (-x + y) * a + x and commutative variations with lrp(x, y, a). * * (-x + y) * a + x * (x * -a) + (y * a) + x * x + (x * -a) + (y * a) * x * (1 - a) + y * a * lrp(x, y, a) */ for (int mul_pos = 0; mul_pos < 2; mul_pos++) { ir_expression *mul = op_expr[mul_pos]; if (!mul || mul->operation != ir_binop_mul) continue; /* Multiply found on one of the operands. Now check for an * inner addition operation. */ for (int inner_add_pos = 0; inner_add_pos < 2; inner_add_pos++) { ir_expression *inner_add = mul->operands[inner_add_pos]->as_expression(); if (!inner_add || inner_add->operation != ir_binop_add) continue; /* Inner addition found on one of the operands. Now check for * one of the operands of the inner addition to be the negative * of x_operand. */ for (int neg_pos = 0; neg_pos < 2; neg_pos++) { ir_expression *neg = inner_add->operands[neg_pos]->as_expression(); if (!neg || neg->operation != ir_unop_neg) continue; ir_rvalue *x_operand = ir->operands[1 - mul_pos]; if (!neg->operands[0]->equals(x_operand)) continue; ir_rvalue *y_operand = inner_add->operands[1 - neg_pos]; ir_rvalue *a_operand = mul->operands[1 - inner_add_pos]; if (x_operand->type != y_operand->type || x_operand->type != a_operand->type) continue; return lrp(x_operand, y_operand, a_operand); } } } break; case ir_binop_sub: if (is_vec_zero(op_const[0])) return neg(ir->operands[1]); if (is_vec_zero(op_const[1])) return ir->operands[0]; break; case ir_binop_mul: if (is_vec_one(op_const[0])) return ir->operands[1]; if (is_vec_one(op_const[1])) return ir->operands[0]; if (is_vec_zero(op_const[0]) || is_vec_zero(op_const[1])) return ir_constant::zero(ir, ir->type); if (is_vec_negative_one(op_const[0])) return neg(ir->operands[1]); if (is_vec_negative_one(op_const[1])) return neg(ir->operands[0]); /* Reassociate multiplication of constants so that we can do * constant folding. */ if (op_const[0] && !op_const[1]) reassociate_constant(ir, 0, op_const[0], op_expr[1]); if (op_const[1] && !op_const[0]) reassociate_constant(ir, 1, op_const[1], op_expr[0]); break; case ir_binop_div: if (is_vec_one(op_const[0]) && ir->type->base_type == GLSL_TYPE_FLOAT) { return new(mem_ctx) ir_expression(ir_unop_rcp, ir->operands[1]->type, ir->operands[1], NULL); } if (is_vec_one(op_const[1])) return ir->operands[0]; break; case ir_binop_dot: if (is_vec_zero(op_const[0]) || is_vec_zero(op_const[1])) return ir_constant::zero(mem_ctx, ir->type); for (int i = 0; i < 2; i++) { if (!op_const[i]) continue; unsigned components[4] = { 0 }, count = 0; for (unsigned c = 0; c < op_const[i]->type->vector_elements; c++) { if (op_const[i]->value.f[c] == 0.0) continue; components[count] = c; count++; } /* No channels had zero values; bail. */ if (count >= op_const[i]->type->vector_elements) break; ir_expression_operation op = count == 1 ? ir_binop_mul : ir_binop_dot; /* Swizzle both operands to remove the channels that were zero. */ return new(mem_ctx) ir_expression(op, glsl_type::float_type, new(mem_ctx) ir_swizzle(ir->operands[0], components, count), new(mem_ctx) ir_swizzle(ir->operands[1], components, count)); } break; case ir_binop_less: case ir_binop_lequal: case ir_binop_greater: case ir_binop_gequal: case ir_binop_equal: case ir_binop_nequal: for (int add_pos = 0; add_pos < 2; add_pos++) { ir_expression *add = op_expr[add_pos]; if (!add || add->operation != ir_binop_add) continue; ir_constant *zero = op_const[1 - add_pos]; if (!is_vec_zero(zero)) continue; return new(mem_ctx) ir_expression(ir->operation, add->operands[0], neg(add->operands[1])); } break; case ir_binop_all_equal: case ir_binop_any_nequal: if (ir->operands[0]->type->is_scalar() && ir->operands[1]->type->is_scalar()) return new(mem_ctx) ir_expression(ir->operation == ir_binop_all_equal ? ir_binop_equal : ir_binop_nequal, ir->operands[0], ir->operands[1]); break; case ir_binop_rshift: case ir_binop_lshift: /* 0 >> x == 0 */ if (is_vec_zero(op_const[0])) return ir->operands[0]; /* x >> 0 == x */ if (is_vec_zero(op_const[1])) return ir->operands[0]; break; case ir_binop_logic_and: if (is_vec_one(op_const[0])) { return ir->operands[1]; } else if (is_vec_one(op_const[1])) { return ir->operands[0]; } else if (is_vec_zero(op_const[0]) || is_vec_zero(op_const[1])) { return ir_constant::zero(mem_ctx, ir->type); } else if (op_expr[0] && op_expr[0]->operation == ir_unop_logic_not && op_expr[1] && op_expr[1]->operation == ir_unop_logic_not) { /* De Morgan's Law: * (not A) and (not B) === not (A or B) */ return logic_not(logic_or(op_expr[0]->operands[0], op_expr[1]->operands[0])); } else if (ir->operands[0]->equals(ir->operands[1])) { /* (a && a) == a */ return ir->operands[0]; } break; case ir_binop_logic_xor: if (is_vec_zero(op_const[0])) { return ir->operands[1]; } else if (is_vec_zero(op_const[1])) { return ir->operands[0]; } else if (is_vec_one(op_const[0])) { return logic_not(ir->operands[1]); } else if (is_vec_one(op_const[1])) { return logic_not(ir->operands[0]); } else if (ir->operands[0]->equals(ir->operands[1])) { /* (a ^^ a) == false */ return ir_constant::zero(mem_ctx, ir->type); } break; case ir_binop_logic_or: if (is_vec_zero(op_const[0])) { return ir->operands[1]; } else if (is_vec_zero(op_const[1])) { return ir->operands[0]; } else if (is_vec_one(op_const[0]) || is_vec_one(op_const[1])) { ir_constant_data data; for (unsigned i = 0; i < 16; i++) data.b[i] = true; return new(mem_ctx) ir_constant(ir->type, &data); } else if (op_expr[0] && op_expr[0]->operation == ir_unop_logic_not && op_expr[1] && op_expr[1]->operation == ir_unop_logic_not) { /* De Morgan's Law: * (not A) or (not B) === not (A and B) */ return logic_not(logic_and(op_expr[0]->operands[0], op_expr[1]->operands[0])); } else if (ir->operands[0]->equals(ir->operands[1])) { /* (a || a) == a */ return ir->operands[0]; } break; case ir_binop_pow: /* 1^x == 1 */ if (is_vec_one(op_const[0])) return op_const[0]; /* x^1 == x */ if (is_vec_one(op_const[1])) return ir->operands[0]; /* pow(2,x) == exp2(x) */ if (is_vec_two(op_const[0])) return expr(ir_unop_exp2, ir->operands[1]); if (is_vec_two(op_const[1])) { ir_variable *x = new(ir) ir_variable(ir->operands[1]->type, "x", ir_var_temporary); base_ir->insert_before(x); base_ir->insert_before(assign(x, ir->operands[0])); return mul(x, x); } break; case ir_binop_min: case ir_binop_max: if (ir->type->base_type != GLSL_TYPE_FLOAT) break; /* Replace min(max) operations and its commutative combinations with * a saturate operation */ for (int op = 0; op < 2; op++) { ir_expression *minmax = op_expr[op]; ir_constant *outer_const = op_const[1 - op]; ir_expression_operation op_cond = (ir->operation == ir_binop_max) ? ir_binop_min : ir_binop_max; if (!minmax || !outer_const || (minmax->operation != op_cond)) continue; /* Found a min(max) combination. Now try to see if its operands * meet our conditions that we can do just a single saturate operation */ for (int minmax_op = 0; minmax_op < 2; minmax_op++) { ir_rvalue *inner_val_a = minmax->operands[minmax_op]; ir_rvalue *inner_val_b = minmax->operands[1 - minmax_op]; if (!inner_val_a || !inner_val_b) continue; /* Found a {min|max} ({max|min} (x, 0.0), 1.0) operation and its variations */ if ((outer_const->is_one() && inner_val_a->is_zero()) || (inner_val_a->is_one() && outer_const->is_zero())) return saturate(inner_val_b); /* Found a {min|max} ({max|min} (x, 0.0), b) where b < 1.0 * and its variations */ if (is_less_than_one(outer_const) && inner_val_b->is_zero()) return expr(ir_binop_min, saturate(inner_val_a), outer_const); if (!inner_val_b->as_constant()) continue; if (is_less_than_one(inner_val_b->as_constant()) && outer_const->is_zero()) return expr(ir_binop_min, saturate(inner_val_a), inner_val_b); /* Found a {min|max} ({max|min} (x, b), 1.0), where b > 0.0 * and its variations */ if (outer_const->is_one() && is_greater_than_zero(inner_val_b->as_constant())) return expr(ir_binop_max, saturate(inner_val_a), inner_val_b); if (inner_val_b->as_constant()->is_one() && is_greater_than_zero(outer_const)) return expr(ir_binop_max, saturate(inner_val_a), outer_const); } } break; case ir_unop_rcp: if (op_expr[0] && op_expr[0]->operation == ir_unop_rcp) return op_expr[0]->operands[0]; /* While ir_to_mesa.cpp will lower sqrt(x) to rcp(rsq(x)), it does so at * its IR level, so we can always apply this transformation. */ if (op_expr[0] && op_expr[0]->operation == ir_unop_rsq) return sqrt(op_expr[0]->operands[0]); /* As far as we know, all backends are OK with rsq. */ if (op_expr[0] && op_expr[0]->operation == ir_unop_sqrt) { return rsq(op_expr[0]->operands[0]); } break; case ir_triop_fma: /* Operands are op0 * op1 + op2. */ if (is_vec_zero(op_const[0]) || is_vec_zero(op_const[1])) { return ir->operands[2]; } else if (is_vec_zero(op_const[2])) { return mul(ir->operands[0], ir->operands[1]); } else if (is_vec_one(op_const[0])) { return add(ir->operands[1], ir->operands[2]); } else if (is_vec_one(op_const[1])) { return add(ir->operands[0], ir->operands[2]); } break; case ir_triop_lrp: /* Operands are (x, y, a). */ if (is_vec_zero(op_const[2])) { return ir->operands[0]; } else if (is_vec_one(op_const[2])) { return ir->operands[1]; } else if (ir->operands[0]->equals(ir->operands[1])) { return ir->operands[0]; } else if (is_vec_zero(op_const[0])) { return mul(ir->operands[1], ir->operands[2]); } else if (is_vec_zero(op_const[1])) { unsigned op2_components = ir->operands[2]->type->vector_elements; ir_constant *one = new(mem_ctx) ir_constant(1.0f, op2_components); return mul(ir->operands[0], add(one, neg(ir->operands[2]))); } break; case ir_triop_csel: if (is_vec_one(op_const[0])) return ir->operands[1]; if (is_vec_zero(op_const[0])) return ir->operands[2]; break; default: break; } return ir; } void ir_algebraic_visitor::handle_rvalue(ir_rvalue **rvalue) { if (!*rvalue) return; ir_expression *expr = (*rvalue)->as_expression(); if (!expr || expr->operation == ir_quadop_vector) return; ir_rvalue *new_rvalue = handle_expression(expr); if (new_rvalue == *rvalue) return; /* If the expr used to be some vec OP scalar returning a vector, and the * optimization gave us back a scalar, we still need to turn it into a * vector. */ *rvalue = swizzle_if_required(expr, new_rvalue); this->progress = true; } bool do_algebraic(exec_list *instructions, bool native_integers, const struct gl_shader_compiler_options *options) { ir_algebraic_visitor v(native_integers, options); visit_list_elements(&v, instructions); return v.progress; }