1 /* 2 * Copyright (c) 2014, 2015, Oracle and/or its affiliates. All rights reserved. 3 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. 4 * 5 * This code is free software; you can redistribute it and/or modify it 6 * under the terms of the GNU General Public License version 2 only, as 7 * published by the Free Software Foundation. 8 * 9 * This code is distributed in the hope that it will be useful, but WITHOUT 10 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or 11 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License 12 * version 2 for more details (a copy is included in the LICENSE file that 13 * accompanied this code). 14 * 15 * You should have received a copy of the GNU General Public License version 16 * 2 along with this work; if not, write to the Free Software Foundation, 17 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. 18 * 19 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA 20 * or visit www.oracle.com if you need additional information or have any 21 * questions. 22 */ 23 package org.graalvm.compiler.replacements.nodes.arithmetic; 24 25 import static org.graalvm.compiler.nodeinfo.NodeCycles.CYCLES_4; 26 import static org.graalvm.compiler.nodeinfo.NodeSize.SIZE_4; 27 28 import java.util.function.BiFunction; 29 30 import org.graalvm.compiler.core.common.type.IntegerStamp; 31 import org.graalvm.compiler.core.common.type.Stamp; 32 import org.graalvm.compiler.core.common.type.StampFactory; 33 import org.graalvm.compiler.graph.NodeClass; 34 import org.graalvm.compiler.graph.spi.CanonicalizerTool; 35 import org.graalvm.compiler.lir.gen.ArithmeticLIRGeneratorTool; 36 import org.graalvm.compiler.nodeinfo.NodeInfo; 37 import org.graalvm.compiler.nodes.ConstantNode; 38 import org.graalvm.compiler.nodes.ValueNode; 39 import org.graalvm.compiler.nodes.calc.BinaryNode; 40 import org.graalvm.compiler.nodes.spi.ArithmeticLIRLowerable; 41 import org.graalvm.compiler.nodes.spi.NodeLIRBuilderTool; 42 43 import jdk.vm.ci.meta.JavaKind; 44 import jdk.vm.ci.meta.Value; 45 46 @NodeInfo(shortName = "|*H|", cycles = CYCLES_4, cyclesRationale = "mul + mov", size = SIZE_4) 47 public final class UnsignedMulHighNode extends BinaryNode implements ArithmeticLIRLowerable { 48 49 public static final NodeClass<UnsignedMulHighNode> TYPE = NodeClass.create(UnsignedMulHighNode.class); 50 51 public UnsignedMulHighNode(ValueNode x, ValueNode y) { 52 this((IntegerStamp) x.stamp().unrestricted(), x, y); 53 } 54 55 public UnsignedMulHighNode(IntegerStamp stamp, ValueNode x, ValueNode y) { 56 super(TYPE, stamp, x, y); 57 } 58 59 private static long[] getUnsignedExtremes(IntegerStamp stamp) { 60 if (stamp.lowerBound() < 0 && stamp.upperBound() >= 0) { 61 /* 62 * If -1 and 0 are both in the signed range, then we can't say anything about the 63 * unsigned range, so we have to return [0, MAX_UNSIGNED]. 64 */ 65 return new long[]{0, -1L}; 66 } else { 67 return new long[]{stamp.lowerBound(), stamp.upperBound()}; 68 } 69 } 70 71 /** 72 * Determines the minimum and maximum result of this node for the given inputs and returns the 73 * result of the given BiFunction on the minimum and maximum values. Note that the minima and 74 * maxima are calculated using signed min/max functions, while the values themselves are 75 * unsigned. 76 */ 77 private <T> T processExtremes(Stamp forX, Stamp forY, BiFunction<Long, Long, T> op) { 78 IntegerStamp xStamp = (IntegerStamp) forX; 79 IntegerStamp yStamp = (IntegerStamp) forY; 80 81 JavaKind kind = getStackKind(); 82 assert kind == JavaKind.Int || kind == JavaKind.Long; 83 long[] xExtremes = getUnsignedExtremes(xStamp); 84 long[] yExtremes = getUnsignedExtremes(yStamp); 85 long min = Long.MAX_VALUE; 86 long max = Long.MIN_VALUE; 87 for (long a : xExtremes) { 88 for (long b : yExtremes) { 89 long result = kind == JavaKind.Int ? multiplyHighUnsigned((int) a, (int) b) : multiplyHighUnsigned(a, b); 90 min = Math.min(min, result); 91 max = Math.max(max, result); 92 } 93 } 94 return op.apply(min, max); 95 } 96 97 @SuppressWarnings("cast") 98 @Override 99 public Stamp foldStamp(Stamp stampX, Stamp stampY) { 100 // if min is negative, then the value can reach into the unsigned range 101 return processExtremes(stampX, stampY, (min, max) -> (min == (long) max || min >= 0) ? StampFactory.forInteger(getStackKind(), min, max) : StampFactory.forKind(getStackKind())); 102 } 103 104 @SuppressWarnings("cast") 105 @Override 106 public ValueNode canonical(CanonicalizerTool tool, ValueNode forX, ValueNode forY) { 107 return processExtremes(forX.stamp(), forY.stamp(), (min, max) -> min == (long) max ? ConstantNode.forIntegerKind(getStackKind(), min) : this); 108 } 109 110 @Override 111 public void generate(NodeLIRBuilderTool nodeValueMap, ArithmeticLIRGeneratorTool gen) { 112 Value a = nodeValueMap.operand(getX()); 113 Value b = nodeValueMap.operand(getY()); 114 nodeValueMap.setResult(this, gen.emitUMulHigh(a, b)); 115 } 116 117 public static int multiplyHighUnsigned(int x, int y) { 118 long xl = x & 0xFFFFFFFFL; 119 long yl = y & 0xFFFFFFFFL; 120 long r = xl * yl; 121 return (int) (r >> 32); 122 } 123 124 public static long multiplyHighUnsigned(long x, long y) { 125 // Checkstyle: stop 126 long x0, y0, z0; 127 long x1, y1, z1, z2, t; 128 // Checkstyle: resume 129 130 x0 = x & 0xFFFFFFFFL; 131 x1 = x >>> 32; 132 133 y0 = y & 0xFFFFFFFFL; 134 y1 = y >>> 32; 135 136 z0 = x0 * y0; 137 t = x1 * y0 + (z0 >>> 32); 138 z1 = t & 0xFFFFFFFFL; 139 z2 = t >>> 32; 140 z1 += x0 * y1; 141 142 return x1 * y1 + z2 + (z1 >>> 32); 143 } 144 }