1645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner//===-- ConstantRange.cpp - ConstantRange implementation ------------------===// 2fd93908ae8b9684fe71c239e3c6cfe13ff6a2663Misha Brukman// 3b576c94c15af9a440f69d9d03c2afead7971118cJohn Criswell// The LLVM Compiler Infrastructure 4b576c94c15af9a440f69d9d03c2afead7971118cJohn Criswell// 54ee451de366474b9c228b4e5fa573795a715216dChris Lattner// This file is distributed under the University of Illinois Open Source 64ee451de366474b9c228b4e5fa573795a715216dChris Lattner// License. See LICENSE.TXT for details. 7fd93908ae8b9684fe71c239e3c6cfe13ff6a2663Misha Brukman// 8b576c94c15af9a440f69d9d03c2afead7971118cJohn Criswell//===----------------------------------------------------------------------===// 9645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// 10645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// Represent a range of possible values that may occur when the program is run 11645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// for an integral value. This keeps track of a lower and upper bound for the 12645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// constant, which MAY wrap around the end of the numeric range. To do this, it 13645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// keeps track of a [lower, upper) bound, which specifies an interval just like 14645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// STL iterators. When used with boolean values, the following are important 15645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// ranges (other integral ranges use min/max values for special range values): 16645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// 17645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// [F, F) = {} = Empty set 18645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// [T, F) = {T} 19645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// [F, T) = {F} 20645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// [T, T) = {F, T} = Full set 21645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner// 22645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner//===----------------------------------------------------------------------===// 23645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner 24f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar#include "llvm/IR/Instruction.h" 250b8c9a80f20772c3793201ab5b251d3520b9cea3Chandler Carruth#include "llvm/IR/InstrTypes.h" 26f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar#include "llvm/IR/Operator.h" 2736b56886974eae4f9c5ebc96befd3e7bfe5de338Stephen Hines#include "llvm/IR/ConstantRange.h" 287fd5fb4b4755c3df86da5a0ebedf0d328fafbc81David Greene#include "llvm/Support/Debug.h" 29944fac71e082cc2664cc71b4d3f6c72bab7143fbChris Lattner#include "llvm/Support/raw_ostream.h" 302cdd21c2e4d855500dfb53f77aa74da53ccf9de6Chris Lattnerusing namespace llvm; 31d0fde30ce850b78371fd1386338350591f9ff494Brian Gaeke 32645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// Initialize a full (the default) or empty set for the specified type. 33645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// 3438b06447615440f935008a2141bd0a1fe078d437Dan GohmanConstantRange::ConstantRange(uint32_t BitWidth, bool Full) { 35645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner if (Full) 36663e711dc235cae94eb50abb1c0571fd0b3a6a35Reid Spencer Lower = Upper = APInt::getMaxValue(BitWidth); 37645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner else 38663e711dc235cae94eb50abb1c0571fd0b3a6a35Reid Spencer Lower = Upper = APInt::getMinValue(BitWidth); 39645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner} 40645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner 41fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner/// Initialize a range to hold the single specified value. 42fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner/// 43318b7cc7f10d41370929ff93274de29c11f87b81Benjamin KramerConstantRange::ConstantRange(APIntMoveTy V) 4436b56886974eae4f9c5ebc96befd3e7bfe5de338Stephen Hines : Lower(std::move(V)), Upper(Lower + 1) {} 45645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner 46318b7cc7f10d41370929ff93274de29c11f87b81Benjamin KramerConstantRange::ConstantRange(APIntMoveTy L, APIntMoveTy U) 4736b56886974eae4f9c5ebc96befd3e7bfe5de338Stephen Hines : Lower(std::move(L)), Upper(std::move(U)) { 48318b7cc7f10d41370929ff93274de29c11f87b81Benjamin Kramer assert(Lower.getBitWidth() == Upper.getBitWidth() && 4938b06447615440f935008a2141bd0a1fe078d437Dan Gohman "ConstantRange with unequal bit widths"); 50318b7cc7f10d41370929ff93274de29c11f87b81Benjamin Kramer assert((Lower != Upper || (Lower.isMaxValue() || Lower.isMinValue())) && 51663e711dc235cae94eb50abb1c0571fd0b3a6a35Reid Spencer "Lower == Upper, but they aren't min or max value!"); 52663e711dc235cae94eb50abb1c0571fd0b3a6a35Reid Spencer} 53663e711dc235cae94eb50abb1c0571fd0b3a6a35Reid Spencer 544c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga NainarConstantRange ConstantRange::makeAllowedICmpRegion(CmpInst::Predicate Pred, 554c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar const ConstantRange &CR) { 56f2d7b7c879548090beae51b21c4b363da7dbbaadNick Lewycky if (CR.isEmptySet()) 57f2d7b7c879548090beae51b21c4b363da7dbbaadNick Lewycky return CR; 58f2d7b7c879548090beae51b21c4b363da7dbbaadNick Lewycky 59bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky uint32_t W = CR.getBitWidth(); 60bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky switch (Pred) { 614c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar default: 624c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar llvm_unreachable("Invalid ICmp predicate to makeAllowedICmpRegion()"); 63de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar case CmpInst::ICMP_EQ: 64de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return CR; 65de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar case CmpInst::ICMP_NE: 66de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (CR.isSingleElement()) 67de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(CR.getUpper(), CR.getLower()); 68de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(W); 69de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar case CmpInst::ICMP_ULT: { 70de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt UMax(CR.getUnsignedMax()); 71de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (UMax.isMinValue()) 72de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(W, /* empty */ false); 73de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(APInt::getMinValue(W), UMax); 74de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar } 75de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar case CmpInst::ICMP_SLT: { 76de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt SMax(CR.getSignedMax()); 77de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (SMax.isMinSignedValue()) 78de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(W, /* empty */ false); 79de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(APInt::getSignedMinValue(W), SMax); 80de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar } 81de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar case CmpInst::ICMP_ULE: { 82de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt UMax(CR.getUnsignedMax()); 83de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (UMax.isMaxValue()) 84bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky return ConstantRange(W); 85de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(APInt::getMinValue(W), UMax + 1); 86de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar } 87de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar case CmpInst::ICMP_SLE: { 88de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt SMax(CR.getSignedMax()); 89de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (SMax.isMaxSignedValue()) 90de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(W); 91de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(APInt::getSignedMinValue(W), SMax + 1); 92de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar } 93de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar case CmpInst::ICMP_UGT: { 94de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt UMin(CR.getUnsignedMin()); 95de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (UMin.isMaxValue()) 96de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(W, /* empty */ false); 97de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(UMin + 1, APInt::getNullValue(W)); 98de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar } 99de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar case CmpInst::ICMP_SGT: { 100de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt SMin(CR.getSignedMin()); 101de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (SMin.isMaxSignedValue()) 102de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(W, /* empty */ false); 103de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(SMin + 1, APInt::getSignedMinValue(W)); 104de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar } 105de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar case CmpInst::ICMP_UGE: { 106de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt UMin(CR.getUnsignedMin()); 107de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (UMin.isMinValue()) 108de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(W); 109de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(UMin, APInt::getNullValue(W)); 110de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar } 111de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar case CmpInst::ICMP_SGE: { 112de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt SMin(CR.getSignedMin()); 113de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (SMin.isMinSignedValue()) 114de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(W); 115de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(SMin, APInt::getSignedMinValue(W)); 116de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar } 117bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky } 118bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky} 119bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky 1204c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga NainarConstantRange ConstantRange::makeSatisfyingICmpRegion(CmpInst::Predicate Pred, 1214c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar const ConstantRange &CR) { 1224c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // Follows from De-Morgan's laws: 1234c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // 1244c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // ~(~A union ~B) == A intersect B. 1254c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // 1264c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar return makeAllowedICmpRegion(CmpInst::getInversePredicate(Pred), CR) 1274c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar .inverse(); 1284c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar} 1294c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar 130de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga NainarConstantRange ConstantRange::makeExactICmpRegion(CmpInst::Predicate Pred, 131de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar const APInt &C) { 132de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // Computes the exact range that is equal to both the constant ranges returned 133de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // by makeAllowedICmpRegion and makeSatisfyingICmpRegion. This is always true 134de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // when RHS is a singleton such as an APInt and so the assert is valid. 135de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // However for non-singleton RHS, for example ult [2,5) makeAllowedICmpRegion 136de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // returns [0,4) but makeSatisfyICmpRegion returns [0,2). 137de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // 138de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar assert(makeAllowedICmpRegion(Pred, C) == makeSatisfyingICmpRegion(Pred, C)); 139de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return makeAllowedICmpRegion(Pred, C); 140de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar} 141de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar 142de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainarbool ConstantRange::getEquivalentICmp(CmpInst::Predicate &Pred, 143de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt &RHS) const { 144de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar bool Success = false; 145de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar 146de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (isFullSet() || isEmptySet()) { 147de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar Pred = isEmptySet() ? CmpInst::ICMP_ULT : CmpInst::ICMP_UGE; 148de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar RHS = APInt(getBitWidth(), 0); 149de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar Success = true; 150de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar } else if (getLower().isMinSignedValue() || getLower().isMinValue()) { 151de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar Pred = 152de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar getLower().isMinSignedValue() ? CmpInst::ICMP_SLT : CmpInst::ICMP_ULT; 153de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar RHS = getUpper(); 154de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar Success = true; 155de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar } else if (getUpper().isMinSignedValue() || getUpper().isMinValue()) { 156de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar Pred = 157de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar getUpper().isMinSignedValue() ? CmpInst::ICMP_SGE : CmpInst::ICMP_UGE; 158de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar RHS = getLower(); 159de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar Success = true; 160de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar } 161de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar 162de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar assert((!Success || ConstantRange::makeExactICmpRegion(Pred, RHS) == *this) && 163de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar "Bad result!"); 164de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar 165de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return Success; 166de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar} 167de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar 168de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga NainarConstantRange 169de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga NainarConstantRange::makeGuaranteedNoWrapRegion(Instruction::BinaryOps BinOp, 170de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar const ConstantRange &Other, 171de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar unsigned NoWrapKind) { 172f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar typedef OverflowingBinaryOperator OBO; 173f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar 174f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar // Computes the intersection of CR0 and CR1. It is different from 175f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar // intersectWith in that the ConstantRange returned will only contain elements 176f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar // in both CR0 and CR1 (i.e. SubsetIntersect(X, Y) is a *subset*, proper or 177f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar // not, of both X and Y). 178f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar auto SubsetIntersect = 179f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar [](const ConstantRange &CR0, const ConstantRange &CR1) { 180f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar return CR0.inverse().unionWith(CR1.inverse()).inverse(); 181f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar }; 182f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar 183f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar assert(BinOp >= Instruction::BinaryOpsBegin && 184f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar BinOp < Instruction::BinaryOpsEnd && "Binary operators only!"); 185f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar 186f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar assert((NoWrapKind == OBO::NoSignedWrap || 187f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar NoWrapKind == OBO::NoUnsignedWrap || 188f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar NoWrapKind == (OBO::NoUnsignedWrap | OBO::NoSignedWrap)) && 189f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar "NoWrapKind invalid!"); 190f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar 191de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar unsigned BitWidth = Other.getBitWidth(); 192f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar if (BinOp != Instruction::Add) 193f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar // Conservative answer: empty set 194f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar return ConstantRange(BitWidth, false); 195f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar 196de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (auto *C = Other.getSingleElement()) 197de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (C->isMinValue()) 198de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // Full set: nothing signed / unsigned wraps when added to 0. 199de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(BitWidth); 200f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar 201f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar ConstantRange Result(BitWidth); 202f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar 203f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar if (NoWrapKind & OBO::NoUnsignedWrap) 204de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar Result = 205de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar SubsetIntersect(Result, ConstantRange(APInt::getNullValue(BitWidth), 206de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar -Other.getUnsignedMax())); 207f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar 208f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar if (NoWrapKind & OBO::NoSignedWrap) { 209de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt SignedMin = Other.getSignedMin(); 210de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt SignedMax = Other.getSignedMax(); 211de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar 212de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (SignedMax.isStrictlyPositive()) 213f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar Result = SubsetIntersect( 214de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar Result, 215de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar ConstantRange(APInt::getSignedMinValue(BitWidth), 216de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt::getSignedMinValue(BitWidth) - SignedMax)); 217de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar 218de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (SignedMin.isNegative()) 219f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar Result = SubsetIntersect( 220de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar Result, ConstantRange(APInt::getSignedMinValue(BitWidth) - SignedMin, 221f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar APInt::getSignedMinValue(BitWidth))); 222f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar } 223f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar 224f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar return Result; 225f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar} 226f3ef5332fa3f4d5ec72c178a2b19dac363a19383Pirama Arumuga Nainar 227645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// isFullSet - Return true if this set contains all of the elements possible 228645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// for this data-type 229645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattnerbool ConstantRange::isFullSet() const { 230c125c00e68138b8ae7861b589277a491ee217893Zhou Sheng return Lower == Upper && Lower.isMaxValue(); 231645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner} 232fd93908ae8b9684fe71c239e3c6cfe13ff6a2663Misha Brukman 233645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// isEmptySet - Return true if this set contains no members. 234645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// 235645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattnerbool ConstantRange::isEmptySet() const { 236c125c00e68138b8ae7861b589277a491ee217893Zhou Sheng return Lower == Upper && Lower.isMinValue(); 237645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner} 238645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner 239645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// isWrappedSet - Return true if this set wraps around the top of the range, 240645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// for example: [100, 8) 241645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// 242a6e8a955d6ab82911a1909fac7a9f4256a4d090eReid Spencerbool ConstantRange::isWrappedSet() const { 243663e711dc235cae94eb50abb1c0571fd0b3a6a35Reid Spencer return Lower.ugt(Upper); 244645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner} 245645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner 24632cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky/// isSignWrappedSet - Return true if this set wraps around the INT_MIN of 24732cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky/// its bitwidth, for example: i8 [120, 140). 24832cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky/// 24932cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewyckybool ConstantRange::isSignWrappedSet() const { 25032cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky return contains(APInt::getSignedMaxValue(getBitWidth())) && 25132cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky contains(APInt::getSignedMinValue(getBitWidth())); 25232cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky} 25332cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky 254645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// getSetSize - Return the number of elements in this set. 255645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// 256663e711dc235cae94eb50abb1c0571fd0b3a6a35Reid SpencerAPInt ConstantRange::getSetSize() const { 2575d2fada44ce77c6db15173a8107bf253c2293170Nuno Lopes if (isFullSet()) { 2585d2fada44ce77c6db15173a8107bf253c2293170Nuno Lopes APInt Size(getBitWidth()+1, 0); 2595d2fada44ce77c6db15173a8107bf253c2293170Nuno Lopes Size.setBit(getBitWidth()); 2605d2fada44ce77c6db15173a8107bf253c2293170Nuno Lopes return Size; 261645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner } 262fd93908ae8b9684fe71c239e3c6cfe13ff6a2663Misha Brukman 2635d2fada44ce77c6db15173a8107bf253c2293170Nuno Lopes // This is also correct for wrapped sets. 264367308f798338e162b4ab76efa785caa847487c0Nuno Lopes return (Upper - Lower).zext(getBitWidth()+1); 265645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner} 266645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner 2673400e6af6b10acea219c02ac262637220f84218fNick Lewycky/// getUnsignedMax - Return the largest unsigned value contained in the 2683400e6af6b10acea219c02ac262637220f84218fNick Lewycky/// ConstantRange. 2693400e6af6b10acea219c02ac262637220f84218fNick Lewycky/// 2703400e6af6b10acea219c02ac262637220f84218fNick LewyckyAPInt ConstantRange::getUnsignedMax() const { 2713400e6af6b10acea219c02ac262637220f84218fNick Lewycky if (isFullSet() || isWrappedSet()) 2723400e6af6b10acea219c02ac262637220f84218fNick Lewycky return APInt::getMaxValue(getBitWidth()); 27348a09aec60c5daf67430811e24256d501a576766Nick Lewycky return getUpper() - 1; 2743400e6af6b10acea219c02ac262637220f84218fNick Lewycky} 2753400e6af6b10acea219c02ac262637220f84218fNick Lewycky 2763400e6af6b10acea219c02ac262637220f84218fNick Lewycky/// getUnsignedMin - Return the smallest unsigned value contained in the 2773400e6af6b10acea219c02ac262637220f84218fNick Lewycky/// ConstantRange. 2783400e6af6b10acea219c02ac262637220f84218fNick Lewycky/// 2793400e6af6b10acea219c02ac262637220f84218fNick LewyckyAPInt ConstantRange::getUnsignedMin() const { 2803400e6af6b10acea219c02ac262637220f84218fNick Lewycky if (isFullSet() || (isWrappedSet() && getUpper() != 0)) 2813400e6af6b10acea219c02ac262637220f84218fNick Lewycky return APInt::getMinValue(getBitWidth()); 28248a09aec60c5daf67430811e24256d501a576766Nick Lewycky return getLower(); 2833400e6af6b10acea219c02ac262637220f84218fNick Lewycky} 2843400e6af6b10acea219c02ac262637220f84218fNick Lewycky 2853400e6af6b10acea219c02ac262637220f84218fNick Lewycky/// getSignedMax - Return the largest signed value contained in the 2863400e6af6b10acea219c02ac262637220f84218fNick Lewycky/// ConstantRange. 2873400e6af6b10acea219c02ac262637220f84218fNick Lewycky/// 2883400e6af6b10acea219c02ac262637220f84218fNick LewyckyAPInt ConstantRange::getSignedMax() const { 289daacf22537e0d140c379a39a11a83d3321395d4dZhou Sheng APInt SignedMax(APInt::getSignedMaxValue(getBitWidth())); 2903400e6af6b10acea219c02ac262637220f84218fNick Lewycky if (!isWrappedSet()) { 291ae5eb7accf65ee94e22b3d235d466d71268f1e83Nick Lewycky if (getLower().sle(getUpper() - 1)) 2923400e6af6b10acea219c02ac262637220f84218fNick Lewycky return getUpper() - 1; 29348a09aec60c5daf67430811e24256d501a576766Nick Lewycky return SignedMax; 2943400e6af6b10acea219c02ac262637220f84218fNick Lewycky } 29548a09aec60c5daf67430811e24256d501a576766Nick Lewycky if (getLower().isNegative() == getUpper().isNegative()) 29648a09aec60c5daf67430811e24256d501a576766Nick Lewycky return SignedMax; 29748a09aec60c5daf67430811e24256d501a576766Nick Lewycky return getUpper() - 1; 2983400e6af6b10acea219c02ac262637220f84218fNick Lewycky} 2993400e6af6b10acea219c02ac262637220f84218fNick Lewycky 3003400e6af6b10acea219c02ac262637220f84218fNick Lewycky/// getSignedMin - Return the smallest signed value contained in the 3013400e6af6b10acea219c02ac262637220f84218fNick Lewycky/// ConstantRange. 3023400e6af6b10acea219c02ac262637220f84218fNick Lewycky/// 3033400e6af6b10acea219c02ac262637220f84218fNick LewyckyAPInt ConstantRange::getSignedMin() const { 304daacf22537e0d140c379a39a11a83d3321395d4dZhou Sheng APInt SignedMin(APInt::getSignedMinValue(getBitWidth())); 3053400e6af6b10acea219c02ac262637220f84218fNick Lewycky if (!isWrappedSet()) { 306ae5eb7accf65ee94e22b3d235d466d71268f1e83Nick Lewycky if (getLower().sle(getUpper() - 1)) 3073400e6af6b10acea219c02ac262637220f84218fNick Lewycky return getLower(); 30848a09aec60c5daf67430811e24256d501a576766Nick Lewycky return SignedMin; 30948a09aec60c5daf67430811e24256d501a576766Nick Lewycky } 31048a09aec60c5daf67430811e24256d501a576766Nick Lewycky if ((getUpper() - 1).slt(getLower())) { 31148a09aec60c5daf67430811e24256d501a576766Nick Lewycky if (getUpper() != SignedMin) 3123400e6af6b10acea219c02ac262637220f84218fNick Lewycky return SignedMin; 3133400e6af6b10acea219c02ac262637220f84218fNick Lewycky } 31448a09aec60c5daf67430811e24256d501a576766Nick Lewycky return getLower(); 3153400e6af6b10acea219c02ac262637220f84218fNick Lewycky} 3163400e6af6b10acea219c02ac262637220f84218fNick Lewycky 317fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner/// contains - Return true if the specified value is in the set. 318fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner/// 319a6e8a955d6ab82911a1909fac7a9f4256a4d090eReid Spencerbool ConstantRange::contains(const APInt &V) const { 320a6e8a955d6ab82911a1909fac7a9f4256a4d090eReid Spencer if (Lower == Upper) 321a6e8a955d6ab82911a1909fac7a9f4256a4d090eReid Spencer return isFullSet(); 322fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner 323a6e8a955d6ab82911a1909fac7a9f4256a4d090eReid Spencer if (!isWrappedSet()) 324a6e8a955d6ab82911a1909fac7a9f4256a4d090eReid Spencer return Lower.ule(V) && V.ult(Upper); 32548a09aec60c5daf67430811e24256d501a576766Nick Lewycky return Lower.ule(V) || V.ult(Upper); 326fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner} 327645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner 328bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky/// contains - Return true if the argument is a subset of this range. 3297f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky/// Two equal sets contain each other. The empty set contained by all other 3307f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky/// sets. 331bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky/// 332bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewyckybool ConstantRange::contains(const ConstantRange &Other) const { 3337f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky if (isFullSet() || Other.isEmptySet()) return true; 3347f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky if (isEmptySet() || Other.isFullSet()) return false; 335bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky 336bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky if (!isWrappedSet()) { 337bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky if (Other.isWrappedSet()) 338bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky return false; 339bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky 340bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky return Lower.ule(Other.getLower()) && Other.getUpper().ule(Upper); 341bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky } 342bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky 343bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky if (!Other.isWrappedSet()) 344bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky return Other.getUpper().ule(Upper) || 345bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky Lower.ule(Other.getLower()); 346bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky 347bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky return Other.getUpper().ule(Upper) && Lower.ule(Other.getLower()); 348bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky} 349bf8c7f0adf90c8271c790be9922a2f97d19d4c01Nick Lewycky 350fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner/// subtract - Subtract the specified constant from the endpoints of this 351fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner/// constant range. 352581b0d453a63f7f657248f80317976995262be11Reid SpencerConstantRange ConstantRange::subtract(const APInt &Val) const { 353bb626a6751db9a63d159d32522bdf88cedf46eebReid Spencer assert(Val.getBitWidth() == getBitWidth() && "Wrong bit width"); 354fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner // If the set is empty or full, don't modify the endpoints. 355663e711dc235cae94eb50abb1c0571fd0b3a6a35Reid Spencer if (Lower == Upper) 356663e711dc235cae94eb50abb1c0571fd0b3a6a35Reid Spencer return *this; 357663e711dc235cae94eb50abb1c0571fd0b3a6a35Reid Spencer return ConstantRange(Lower - Val, Upper - Val); 358fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner} 359fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner 36062d7afad8faf7a1fbbf3402f8e23ce4ece9ab108Nuno Lopes/// \brief Subtract the specified range from this range (aka relative complement 36162d7afad8faf7a1fbbf3402f8e23ce4ece9ab108Nuno Lopes/// of the sets). 36262d7afad8faf7a1fbbf3402f8e23ce4ece9ab108Nuno LopesConstantRange ConstantRange::difference(const ConstantRange &CR) const { 36362d7afad8faf7a1fbbf3402f8e23ce4ece9ab108Nuno Lopes return intersectWith(CR.inverse()); 36462d7afad8faf7a1fbbf3402f8e23ce4ece9ab108Nuno Lopes} 36562d7afad8faf7a1fbbf3402f8e23ce4ece9ab108Nuno Lopes 3663e051647c079fe29db049646b39611fc0135327dNick Lewycky/// intersectWith - Return the range that results from the intersection of this 3673a4a884c1618d94202ee714ea5c899cd80d1c536Nick Lewycky/// range with another range. The resultant range is guaranteed to include all 3683a4a884c1618d94202ee714ea5c899cd80d1c536Nick Lewycky/// elements contained in both input ranges, and to have the smallest possible 3693a4a884c1618d94202ee714ea5c899cd80d1c536Nick Lewycky/// set size that does so. Because there may be two intersections with the 3703a4a884c1618d94202ee714ea5c899cd80d1c536Nick Lewycky/// same set size, A.intersectWith(B) might not be equal to B.intersectWith(A). 371a6e8a955d6ab82911a1909fac7a9f4256a4d090eReid SpencerConstantRange ConstantRange::intersectWith(const ConstantRange &CR) const { 372bb626a6751db9a63d159d32522bdf88cedf46eebReid Spencer assert(getBitWidth() == CR.getBitWidth() && 373bb626a6751db9a63d159d32522bdf88cedf46eebReid Spencer "ConstantRange types don't agree!"); 374377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 375377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky // Handle common cases. 376377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if ( isEmptySet() || CR.isFullSet()) return *this; 377377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (CR.isEmptySet() || isFullSet()) return CR; 378377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 379377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (!isWrappedSet() && CR.isWrappedSet()) 3803a4a884c1618d94202ee714ea5c899cd80d1c536Nick Lewycky return CR.intersectWith(*this); 381377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 382377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (!isWrappedSet() && !CR.isWrappedSet()) { 383377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (Lower.ult(CR.Lower)) { 384377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (Upper.ule(CR.Lower)) 385377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return ConstantRange(getBitWidth(), false); 386377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 387377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (Upper.ult(CR.Upper)) 388377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return ConstantRange(CR.Lower, Upper); 389377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 390377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return CR; 39148a09aec60c5daf67430811e24256d501a576766Nick Lewycky } 39248a09aec60c5daf67430811e24256d501a576766Nick Lewycky if (Upper.ult(CR.Upper)) 39348a09aec60c5daf67430811e24256d501a576766Nick Lewycky return *this; 394377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 39548a09aec60c5daf67430811e24256d501a576766Nick Lewycky if (Lower.ult(CR.Upper)) 39648a09aec60c5daf67430811e24256d501a576766Nick Lewycky return ConstantRange(Lower, CR.Upper); 397377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 39848a09aec60c5daf67430811e24256d501a576766Nick Lewycky return ConstantRange(getBitWidth(), false); 399377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky } 400377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 401377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (isWrappedSet() && !CR.isWrappedSet()) { 402377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (CR.Lower.ult(Upper)) { 403377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (CR.Upper.ult(Upper)) 404377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return CR; 405377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 406fbb7a73631e3c23510abb3904e8ad38c87ff2a24Nuno Lopes if (CR.Upper.ule(Lower)) 407377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return ConstantRange(CR.Lower, Upper); 408377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 409377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (getSetSize().ult(CR.getSetSize())) 410377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return *this; 41148a09aec60c5daf67430811e24256d501a576766Nick Lewycky return CR; 41248a09aec60c5daf67430811e24256d501a576766Nick Lewycky } 41348a09aec60c5daf67430811e24256d501a576766Nick Lewycky if (CR.Lower.ult(Lower)) { 414377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (CR.Upper.ule(Lower)) 415377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return ConstantRange(getBitWidth(), false); 416377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 417377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return ConstantRange(Lower, CR.Upper); 418377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky } 419377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return CR; 420377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky } 421377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 422377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (CR.Upper.ult(Upper)) { 423377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (CR.Lower.ult(Upper)) { 424377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (getSetSize().ult(CR.getSetSize())) 425377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return *this; 42648a09aec60c5daf67430811e24256d501a576766Nick Lewycky return CR; 427377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky } 428377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 429377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (CR.Lower.ult(Lower)) 430377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return ConstantRange(Lower, CR.Upper); 431377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 432377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return CR; 43348a09aec60c5daf67430811e24256d501a576766Nick Lewycky } 434532516a87bc57f21e6d99f49548e4c2adf835551Nuno Lopes if (CR.Upper.ule(Lower)) { 435377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (CR.Lower.ult(Lower)) 436377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return *this; 437377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 438377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return ConstantRange(CR.Lower, Upper); 439377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky } 440377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky if (getSetSize().ult(CR.getSetSize())) 441377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky return *this; 44248a09aec60c5daf67430811e24256d501a576766Nick Lewycky return CR; 443377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky} 444377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 445377b1190cbcf99e9298300d890c4b744dd2ed2c7Nick Lewycky 4463e051647c079fe29db049646b39611fc0135327dNick Lewycky/// unionWith - Return the range that results from the union of this range with 447645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// another range. The resultant range is guaranteed to include the elements of 4489babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky/// both sets, but may contain more. For example, [3, 9) union [12,15) is 4499babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky/// [3, 15), which includes 9, 10, and 11, which were not included in either 4509babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky/// set before. 451645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner/// 452a6e8a955d6ab82911a1909fac7a9f4256a4d090eReid SpencerConstantRange ConstantRange::unionWith(const ConstantRange &CR) const { 453bb626a6751db9a63d159d32522bdf88cedf46eebReid Spencer assert(getBitWidth() == CR.getBitWidth() && 454bb626a6751db9a63d159d32522bdf88cedf46eebReid Spencer "ConstantRange types don't agree!"); 455645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner 456c6a28fcf5db2b6e81607e45cd5210e3e07834eedNick Lewycky if ( isFullSet() || CR.isEmptySet()) return *this; 457c6a28fcf5db2b6e81607e45cd5210e3e07834eedNick Lewycky if (CR.isFullSet() || isEmptySet()) return CR; 458645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner 4599babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky if (!isWrappedSet() && CR.isWrappedSet()) return CR.unionWith(*this); 4609babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky 4619babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky if (!isWrappedSet() && !CR.isWrappedSet()) { 4627e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if (CR.Upper.ult(Lower) || Upper.ult(CR.Lower)) { 4637e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // If the two ranges are disjoint, find the smaller gap and bridge it. 4647e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky APInt d1 = CR.Lower - Upper, d2 = Lower - CR.Upper; 4657e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if (d1.ult(d2)) 4667e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky return ConstantRange(Lower, CR.Upper); 46748a09aec60c5daf67430811e24256d501a576766Nick Lewycky return ConstantRange(CR.Lower, Upper); 4687e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky } 4697e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky 4707e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky APInt L = Lower, U = Upper; 4719babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky if (CR.Lower.ult(L)) 4729babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky L = CR.Lower; 4737e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if ((CR.Upper - 1).ugt(U - 1)) 4749babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky U = CR.Upper; 4757e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky 4767e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if (L == 0 && U == 0) 4777e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky return ConstantRange(getBitWidth()); 4787e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky 4797e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky return ConstantRange(L, U); 4809babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky } 4819babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky 4827e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if (!CR.isWrappedSet()) { 4837e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // ------U L----- and ------U L----- : this 4847e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // L--U L--U : CR 4857e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if (CR.Upper.ule(Upper) || CR.Lower.uge(Lower)) 4869babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky return *this; 4879babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky 4887e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // ------U L----- : this 4897e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // L---------U : CR 4907e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if (CR.Lower.ule(Upper) && Lower.ule(CR.Upper)) 4919babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky return ConstantRange(getBitWidth()); 4929babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky 4937e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // ----U L---- : this 4947e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // L---U : CR 4957e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // <d1> <d2> 4967e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if (Upper.ule(CR.Lower) && CR.Upper.ule(Lower)) { 4979babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky APInt d1 = CR.Lower - Upper, d2 = Lower - CR.Upper; 4987e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if (d1.ult(d2)) 4997e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky return ConstantRange(Lower, CR.Upper); 50048a09aec60c5daf67430811e24256d501a576766Nick Lewycky return ConstantRange(CR.Lower, Upper); 5019babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky } 502c6a28fcf5db2b6e81607e45cd5210e3e07834eedNick Lewycky 5037e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // ----U L----- : this 5047e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // L----U : CR 5057e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if (Upper.ult(CR.Lower) && Lower.ult(CR.Upper)) 5067e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky return ConstantRange(CR.Lower, Upper); 5079babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky 5087e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // ------U L---- : this 5097e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // L-----U : CR 51048a09aec60c5daf67430811e24256d501a576766Nick Lewycky assert(CR.Lower.ult(Upper) && CR.Upper.ult(Lower) && 51148a09aec60c5daf67430811e24256d501a576766Nick Lewycky "ConstantRange::unionWith missed a case with one range wrapped"); 51248a09aec60c5daf67430811e24256d501a576766Nick Lewycky return ConstantRange(Lower, CR.Upper); 5139babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky } 5149babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky 5157e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // ------U L---- and ------U L---- : this 5167e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky // -U L----------- and ------------U L : CR 5177e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if (CR.Lower.ule(Upper) || Lower.ule(CR.Upper)) 5187e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky return ConstantRange(getBitWidth()); 5199babd0e0f2f380dcb84561c1d9f9ebc773c588f2Nick Lewycky 5207e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky APInt L = Lower, U = Upper; 5217e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if (CR.Upper.ugt(U)) 5227e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky U = CR.Upper; 5237e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky if (CR.Lower.ult(L)) 5247e7dc45eb15d3739564f2a63ab1c468c57d94ff8Nick Lewycky L = CR.Lower; 525c6a28fcf5db2b6e81607e45cd5210e3e07834eedNick Lewycky 526c6a28fcf5db2b6e81607e45cd5210e3e07834eedNick Lewycky return ConstantRange(L, U); 527645e00d1497dec37da92b59b47d76c4f922e6abcChris Lattner} 52896f9d7232c72867ee09641832d2db99f9166d6f0Chris Lattner 529fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner/// zeroExtend - Return a new range in the specified integer type, which must 530fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner/// be strictly larger than the current type. The returned range will 531e4d87aa2de6e52952dca73716386db09aad5a8fdReid Spencer/// correspond to the possible range of values as if the source range had been 532fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner/// zero extended. 533bb626a6751db9a63d159d32522bdf88cedf46eebReid SpencerConstantRange ConstantRange::zeroExtend(uint32_t DstTySize) const { 53432cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky if (isEmptySet()) return ConstantRange(DstTySize, /*isFullSet=*/false); 53532cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky 536bb626a6751db9a63d159d32522bdf88cedf46eebReid Spencer unsigned SrcTySize = getBitWidth(); 537663e711dc235cae94eb50abb1c0571fd0b3a6a35Reid Spencer assert(SrcTySize < DstTySize && "Not a value extension"); 538b42729b53a061e2a3def61eb10e2a648cecd60aeNuno Lopes if (isFullSet() || isWrappedSet()) { 53932cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky // Change into [0, 1 << src bit width) 540b42729b53a061e2a3def61eb10e2a648cecd60aeNuno Lopes APInt LowerExt(DstTySize, 0); 541b42729b53a061e2a3def61eb10e2a648cecd60aeNuno Lopes if (!Upper) // special case: [X, 0) -- not really wrapping around 542b42729b53a061e2a3def61eb10e2a648cecd60aeNuno Lopes LowerExt = Lower.zext(DstTySize); 5430a230e0d985625a3909cb78fd867a3abaf434565Benjamin Kramer return ConstantRange(LowerExt, APInt::getOneBitSet(DstTySize, SrcTySize)); 544b42729b53a061e2a3def61eb10e2a648cecd60aeNuno Lopes } 545fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner 54640f8f6264d5af2c38e797e0dc59827cd231e8ff7Jay Foad return ConstantRange(Lower.zext(DstTySize), Upper.zext(DstTySize)); 547e32157c6098ee7536315e9793eed98d21bf71fd0Nick Lewycky} 548e32157c6098ee7536315e9793eed98d21bf71fd0Nick Lewycky 549e32157c6098ee7536315e9793eed98d21bf71fd0Nick Lewycky/// signExtend - Return a new range in the specified integer type, which must 550e32157c6098ee7536315e9793eed98d21bf71fd0Nick Lewycky/// be strictly larger than the current type. The returned range will 551e32157c6098ee7536315e9793eed98d21bf71fd0Nick Lewycky/// correspond to the possible range of values as if the source range had been 552e32157c6098ee7536315e9793eed98d21bf71fd0Nick Lewycky/// sign extended. 553e32157c6098ee7536315e9793eed98d21bf71fd0Nick LewyckyConstantRange ConstantRange::signExtend(uint32_t DstTySize) const { 55432cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky if (isEmptySet()) return ConstantRange(DstTySize, /*isFullSet=*/false); 55532cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky 556e32157c6098ee7536315e9793eed98d21bf71fd0Nick Lewycky unsigned SrcTySize = getBitWidth(); 557e32157c6098ee7536315e9793eed98d21bf71fd0Nick Lewycky assert(SrcTySize < DstTySize && "Not a value extension"); 558d3b64efcb33415e980035371b3e8de1e501a6f12Nuno Lopes 559d3b64efcb33415e980035371b3e8de1e501a6f12Nuno Lopes // special case: [X, INT_MIN) -- not really wrapping around 5607de1b3bd458c33949b9b3f7eb1b9e0c07cfdf65aNuno Lopes if (Upper.isMinSignedValue()) 561d3b64efcb33415e980035371b3e8de1e501a6f12Nuno Lopes return ConstantRange(Lower.sext(DstTySize), Upper.zext(DstTySize)); 562d3b64efcb33415e980035371b3e8de1e501a6f12Nuno Lopes 56332cda119ef63ae1f1ee4b60e1d9e4a5ea8e00604Nick Lewycky if (isFullSet() || isSignWrappedSet()) { 564e32157c6098ee7536315e9793eed98d21bf71fd0Nick Lewycky return ConstantRange(APInt::getHighBitsSet(DstTySize,DstTySize-SrcTySize+1), 565ff84de767a9baded740abd1e846938477a4b285aNick Lewycky APInt::getLowBitsSet(DstTySize, SrcTySize-1) + 1); 566e32157c6098ee7536315e9793eed98d21bf71fd0Nick Lewycky } 567e32157c6098ee7536315e9793eed98d21bf71fd0Nick Lewycky 56840f8f6264d5af2c38e797e0dc59827cd231e8ff7Jay Foad return ConstantRange(Lower.sext(DstTySize), Upper.sext(DstTySize)); 569fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner} 570fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner 571fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner/// truncate - Return a new range in the specified integer type, which must be 572fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner/// strictly smaller than the current type. The returned range will 573e4d87aa2de6e52952dca73716386db09aad5a8fdReid Spencer/// correspond to the possible range of values as if the source range had been 574fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner/// truncated to the specified type. 575bb626a6751db9a63d159d32522bdf88cedf46eebReid SpencerConstantRange ConstantRange::truncate(uint32_t DstTySize) const { 576b3ff49e923225d0f7242ef5ac554bdef34c1b216Benjamin Kramer assert(getBitWidth() > DstTySize && "Not a value truncation"); 57755c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes if (isEmptySet()) 57855c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes return ConstantRange(DstTySize, /*isFullSet=*/false); 57955c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes if (isFullSet()) 5807f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(DstTySize, /*isFullSet=*/true); 581fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner 58255c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes APInt MaxValue = APInt::getMaxValue(DstTySize).zext(getBitWidth()); 58355c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes APInt MaxBitValue(getBitWidth(), 0); 58455c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes MaxBitValue.setBit(DstTySize); 58555c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes 58655c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes APInt LowerDiv(Lower), UpperDiv(Upper); 58755c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes ConstantRange Union(DstTySize, /*isFullSet=*/false); 58855c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes 58955c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes // Analyze wrapped sets in their two parts: [0, Upper) \/ [Lower, MaxValue] 59055c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes // We use the non-wrapped set code to analyze the [Lower, MaxValue) part, and 59155c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes // then we do the union with [MaxValue, Upper) 59255c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes if (isWrappedSet()) { 593de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // If Upper is greater than Max Value, it covers the whole truncated range. 59455c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes if (Upper.uge(MaxValue)) 59555c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes return ConstantRange(DstTySize, /*isFullSet=*/true); 59655c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes 59755c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes Union = ConstantRange(APInt::getMaxValue(DstTySize),Upper.trunc(DstTySize)); 59855c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes UpperDiv = APInt::getMaxValue(getBitWidth()); 59955c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes 60055c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes // Union covers the MaxValue case, so return if the remaining range is just 60155c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes // MaxValue. 60255c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes if (LowerDiv == UpperDiv) 60355c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes return Union; 60455c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes } 60555c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes 60655c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes // Chop off the most significant bits that are past the destination bitwidth. 60755c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes if (LowerDiv.uge(MaxValue)) { 60855c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes APInt Div(getBitWidth(), 0); 60955c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes APInt::udivrem(LowerDiv, MaxBitValue, Div, LowerDiv); 61055c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes UpperDiv = UpperDiv - MaxBitValue * Div; 61155c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes } 61255c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes 61355c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes if (UpperDiv.ule(MaxValue)) 61455c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes return ConstantRange(LowerDiv.trunc(DstTySize), 61555c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes UpperDiv.trunc(DstTySize)).unionWith(Union); 61655c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes 617de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // The truncated value wraps around. Check if we can do better than fullset. 61855c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes APInt UpperModulo = UpperDiv - MaxBitValue; 61955c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes if (UpperModulo.ult(LowerDiv)) 62055c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes return ConstantRange(LowerDiv.trunc(DstTySize), 62155c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes UpperModulo.trunc(DstTySize)).unionWith(Union); 62255c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes 62355c9ecba47953aa8a4a1baffef81461aee660e9aNuno Lopes return ConstantRange(DstTySize, /*isFullSet=*/true); 624fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner} 625fc33d30446843009b0eadf63c0bfca35ae2baac6Chris Lattner 62695a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes/// zextOrTrunc - make this range have the bit width given by \p DstTySize. The 62795a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes/// value is zero extended, truncated, or left alone to make it that width. 62895a3be0ba44e96308c65c28ee859acc36149ddd8Nuno LopesConstantRange ConstantRange::zextOrTrunc(uint32_t DstTySize) const { 62995a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes unsigned SrcTySize = getBitWidth(); 63095a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes if (SrcTySize > DstTySize) 63195a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes return truncate(DstTySize); 63248a09aec60c5daf67430811e24256d501a576766Nick Lewycky if (SrcTySize < DstTySize) 63395a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes return zeroExtend(DstTySize); 63448a09aec60c5daf67430811e24256d501a576766Nick Lewycky return *this; 63595a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes} 63695a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes 63795a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes/// sextOrTrunc - make this range have the bit width given by \p DstTySize. The 63895a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes/// value is sign extended, truncated, or left alone to make it that width. 63995a3be0ba44e96308c65c28ee859acc36149ddd8Nuno LopesConstantRange ConstantRange::sextOrTrunc(uint32_t DstTySize) const { 64095a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes unsigned SrcTySize = getBitWidth(); 64195a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes if (SrcTySize > DstTySize) 64295a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes return truncate(DstTySize); 64348a09aec60c5daf67430811e24256d501a576766Nick Lewycky if (SrcTySize < DstTySize) 64495a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes return signExtend(DstTySize); 64548a09aec60c5daf67430811e24256d501a576766Nick Lewycky return *this; 64695a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes} 64795a3be0ba44e96308c65c28ee859acc36149ddd8Nuno Lopes 648a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan GohmanConstantRange 649a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan GohmanConstantRange::add(const ConstantRange &Other) const { 650a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman if (isEmptySet() || Other.isEmptySet()) 651a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman return ConstantRange(getBitWidth(), /*isFullSet=*/false); 652cf9e07dea8aad32c5e7e2631d135566b20e1763cNick Lewycky if (isFullSet() || Other.isFullSet()) 653cf9e07dea8aad32c5e7e2631d135566b20e1763cNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/true); 654a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman 655a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman APInt Spread_X = getSetSize(), Spread_Y = Other.getSetSize(); 656a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman APInt NewLower = getLower() + Other.getLower(); 657a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman APInt NewUpper = getUpper() + Other.getUpper() - 1; 658a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman if (NewLower == NewUpper) 659a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman return ConstantRange(getBitWidth(), /*isFullSet=*/true); 660a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman 661a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman ConstantRange X = ConstantRange(NewLower, NewUpper); 662a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman if (X.getSetSize().ult(Spread_X) || X.getSetSize().ult(Spread_Y)) 663a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman // We've wrapped, therefore, full set. 664a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman return ConstantRange(getBitWidth(), /*isFullSet=*/true); 665a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman 666a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman return X; 667a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman} 668a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman 669a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan GohmanConstantRange 6707f9ef4bb514d5a28637789d8f397dadd4344dc1bNick LewyckyConstantRange::sub(const ConstantRange &Other) const { 6717f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky if (isEmptySet() || Other.isEmptySet()) 6727f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/false); 6737f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky if (isFullSet() || Other.isFullSet()) 6747f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/true); 6757f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky 6767f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky APInt Spread_X = getSetSize(), Spread_Y = Other.getSetSize(); 677e6240e8b83e9bd60e622650e9e801ebc957172b4Nick Lewycky APInt NewLower = getLower() - Other.getUpper() + 1; 678e6240e8b83e9bd60e622650e9e801ebc957172b4Nick Lewycky APInt NewUpper = getUpper() - Other.getLower(); 6797f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky if (NewLower == NewUpper) 6807f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/true); 6817f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky 6827f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky ConstantRange X = ConstantRange(NewLower, NewUpper); 6837f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky if (X.getSetSize().ult(Spread_X) || X.getSetSize().ult(Spread_Y)) 6847f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky // We've wrapped, therefore, full set. 6857f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/true); 6867f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky 6877f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return X; 6887f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky} 6897f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky 6907f9ef4bb514d5a28637789d8f397dadd4344dc1bNick LewyckyConstantRange 691a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan GohmanConstantRange::multiply(const ConstantRange &Other) const { 6928dcc58e6b44fbaab39a24b1f75e67f05275084dcDan Gohman // TODO: If either operand is a single element and the multiply is known to 6938dcc58e6b44fbaab39a24b1f75e67f05275084dcDan Gohman // be non-wrapping, round the result min and max value to the appropriate 6948dcc58e6b44fbaab39a24b1f75e67f05275084dcDan Gohman // multiple of that element. If wrapping is possible, at least adjust the 6958dcc58e6b44fbaab39a24b1f75e67f05275084dcDan Gohman // range according to the greatest power-of-two factor of the single element. 696153f1ebeb8fd394e5b11b27edde9472de0cbb57fDan Gohman 6972ff893f48698005f87163c8029224c718cf4cba9Nick Lewycky if (isEmptySet() || Other.isEmptySet()) 6982ff893f48698005f87163c8029224c718cf4cba9Nick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/false); 6997e733eab2f11fceb24d6b4f25c27d7ba7d92d97eNuno Lopes 7004c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // Multiplication is signedness-independent. However different ranges can be 7014c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // obtained depending on how the input ranges are treated. These different 7024c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // ranges are all conservatively correct, but one might be better than the 7034c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // other. We calculate two ranges; one treating the inputs as unsigned 7044c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // and the other signed, then return the smallest of these ranges. 7054c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar 7064c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // Unsigned range first. 707f1db120d0494ec55d9265cea7dab22e80dcae10cNick Lewycky APInt this_min = getUnsignedMin().zext(getBitWidth() * 2); 708f1db120d0494ec55d9265cea7dab22e80dcae10cNick Lewycky APInt this_max = getUnsignedMax().zext(getBitWidth() * 2); 709f1db120d0494ec55d9265cea7dab22e80dcae10cNick Lewycky APInt Other_min = Other.getUnsignedMin().zext(getBitWidth() * 2); 710f1db120d0494ec55d9265cea7dab22e80dcae10cNick Lewycky APInt Other_max = Other.getUnsignedMax().zext(getBitWidth() * 2); 7112ff893f48698005f87163c8029224c718cf4cba9Nick Lewycky 712f1db120d0494ec55d9265cea7dab22e80dcae10cNick Lewycky ConstantRange Result_zext = ConstantRange(this_min * Other_min, 713f1db120d0494ec55d9265cea7dab22e80dcae10cNick Lewycky this_max * Other_max + 1); 7144c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar ConstantRange UR = Result_zext.truncate(getBitWidth()); 7154c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar 716de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // If the unsigned range doesn't wrap, and isn't negative then it's a range 717de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // from one positive number to another which is as good as we can generate. 718de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // In this case, skip the extra work of generating signed ranges which aren't 719de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // going to be better than this range. 720de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (!UR.isWrappedSet() && UR.getLower().isNonNegative()) 721de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return UR; 722de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar 7234c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // Now the signed range. Because we could be dealing with negative numbers 7244c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // here, the lower bound is the smallest of the cartesian product of the 7254c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // lower and upper ranges; for example: 7264c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // [-1,4) * [-2,3) = min(-1*-2, -1*2, 3*-2, 3*2) = -6. 7274c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar // Similarly for the upper bound, swapping min for max. 7284c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar 7294c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar this_min = getSignedMin().sext(getBitWidth() * 2); 7304c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar this_max = getSignedMax().sext(getBitWidth() * 2); 7314c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar Other_min = Other.getSignedMin().sext(getBitWidth() * 2); 7324c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar Other_max = Other.getSignedMax().sext(getBitWidth() * 2); 7334c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar 7344c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar auto L = {this_min * Other_min, this_min * Other_max, 7354c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar this_max * Other_min, this_max * Other_max}; 7364c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar auto Compare = [](const APInt &A, const APInt &B) { return A.slt(B); }; 7374c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar ConstantRange Result_sext(std::min(L, Compare), std::max(L, Compare) + 1); 7384c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar ConstantRange SR = Result_sext.truncate(getBitWidth()); 7394c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar 7404c5e43da7792f75567b693105cc53e3f1992ad98Pirama Arumuga Nainar return UR.getSetSize().ult(SR.getSetSize()) ? UR : SR; 741a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman} 742a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman 743a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan GohmanConstantRange 744a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan GohmanConstantRange::smax(const ConstantRange &Other) const { 74538b06447615440f935008a2141bd0a1fe078d437Dan Gohman // X smax Y is: range(smax(X_smin, Y_smin), 74638b06447615440f935008a2141bd0a1fe078d437Dan Gohman // smax(X_smax, Y_smax)) 74738b06447615440f935008a2141bd0a1fe078d437Dan Gohman if (isEmptySet() || Other.isEmptySet()) 74838b06447615440f935008a2141bd0a1fe078d437Dan Gohman return ConstantRange(getBitWidth(), /*isFullSet=*/false); 74938b06447615440f935008a2141bd0a1fe078d437Dan Gohman APInt NewL = APIntOps::smax(getSignedMin(), Other.getSignedMin()); 75038b06447615440f935008a2141bd0a1fe078d437Dan Gohman APInt NewU = APIntOps::smax(getSignedMax(), Other.getSignedMax()) + 1; 75138b06447615440f935008a2141bd0a1fe078d437Dan Gohman if (NewU == NewL) 75238b06447615440f935008a2141bd0a1fe078d437Dan Gohman return ConstantRange(getBitWidth(), /*isFullSet=*/true); 75338b06447615440f935008a2141bd0a1fe078d437Dan Gohman return ConstantRange(NewL, NewU); 754a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman} 755a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman 756a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan GohmanConstantRange 757a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan GohmanConstantRange::umax(const ConstantRange &Other) const { 758a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman // X umax Y is: range(umax(X_umin, Y_umin), 759a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman // umax(X_umax, Y_umax)) 760a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman if (isEmptySet() || Other.isEmptySet()) 761a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman return ConstantRange(getBitWidth(), /*isFullSet=*/false); 762a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman APInt NewL = APIntOps::umax(getUnsignedMin(), Other.getUnsignedMin()); 763a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman APInt NewU = APIntOps::umax(getUnsignedMax(), Other.getUnsignedMax()) + 1; 764a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman if (NewU == NewL) 765a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman return ConstantRange(getBitWidth(), /*isFullSet=*/true); 766a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman return ConstantRange(NewL, NewU); 767a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman} 768a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman 769a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan GohmanConstantRange 770de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga NainarConstantRange::smin(const ConstantRange &Other) const { 771de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // X smin Y is: range(smin(X_smin, Y_smin), 772de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // smin(X_smax, Y_smax)) 773de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (isEmptySet() || Other.isEmptySet()) 774de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(getBitWidth(), /*isFullSet=*/false); 775de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt NewL = APIntOps::smin(getSignedMin(), Other.getSignedMin()); 776de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt NewU = APIntOps::smin(getSignedMax(), Other.getSignedMax()) + 1; 777de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (NewU == NewL) 778de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(getBitWidth(), /*isFullSet=*/true); 779de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(NewL, NewU); 780de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar} 781de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar 782de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga NainarConstantRange 783de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga NainarConstantRange::umin(const ConstantRange &Other) const { 784de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // X umin Y is: range(umin(X_umin, Y_umin), 785de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar // umin(X_umax, Y_umax)) 786de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (isEmptySet() || Other.isEmptySet()) 787de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(getBitWidth(), /*isFullSet=*/false); 788de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt NewL = APIntOps::umin(getUnsignedMin(), Other.getUnsignedMin()); 789de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar APInt NewU = APIntOps::umin(getUnsignedMax(), Other.getUnsignedMax()) + 1; 790de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar if (NewU == NewL) 791de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(getBitWidth(), /*isFullSet=*/true); 792de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar return ConstantRange(NewL, NewU); 793de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar} 794de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga Nainar 795de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga NainarConstantRange 796956daf0f7f7fa473cf92c8193905a8a441932b69Nick LewyckyConstantRange::udiv(const ConstantRange &RHS) const { 797956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky if (isEmptySet() || RHS.isEmptySet() || RHS.getUnsignedMax() == 0) 798956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/false); 799956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky if (RHS.isFullSet()) 800956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/true); 801956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky 802956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky APInt Lower = getUnsignedMin().udiv(RHS.getUnsignedMax()); 803956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky 804956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky APInt RHS_umin = RHS.getUnsignedMin(); 805956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky if (RHS_umin == 0) { 806956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky // We want the lowest value in RHS excluding zero. Usually that would be 1 807956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky // except for a range in the form of [X, 1) in which case it would be X. 808956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky if (RHS.getUpper() == 1) 809956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky RHS_umin = RHS.getLower(); 810956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky else 811956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky RHS_umin = APInt(getBitWidth(), 1); 812956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky } 813956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky 814956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky APInt Upper = getUnsignedMax().udiv(RHS_umin) + 1; 815956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky 816956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky // If the LHS is Full and the RHS is a wrapped interval containing 1 then 817956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky // this could occur. 818956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky if (Lower == Upper) 819956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/true); 820956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky 821956daf0f7f7fa473cf92c8193905a8a441932b69Nick Lewycky return ConstantRange(Lower, Upper); 822a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman} 823a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman 82434e992da381bf8b1a9cbcc1bde0b117207809649Nuno LopesConstantRange 825198381e542320265e1c5fed18e938db3563a45bfNick LewyckyConstantRange::binaryAnd(const ConstantRange &Other) const { 826198381e542320265e1c5fed18e938db3563a45bfNick Lewycky if (isEmptySet() || Other.isEmptySet()) 827198381e542320265e1c5fed18e938db3563a45bfNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/false); 828198381e542320265e1c5fed18e938db3563a45bfNick Lewycky 829198381e542320265e1c5fed18e938db3563a45bfNick Lewycky // TODO: replace this with something less conservative 830198381e542320265e1c5fed18e938db3563a45bfNick Lewycky 831198381e542320265e1c5fed18e938db3563a45bfNick Lewycky APInt umin = APIntOps::umin(Other.getUnsignedMax(), getUnsignedMax()); 832198381e542320265e1c5fed18e938db3563a45bfNick Lewycky if (umin.isAllOnesValue()) 833198381e542320265e1c5fed18e938db3563a45bfNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/true); 834198381e542320265e1c5fed18e938db3563a45bfNick Lewycky return ConstantRange(APInt::getNullValue(getBitWidth()), umin + 1); 835198381e542320265e1c5fed18e938db3563a45bfNick Lewycky} 836198381e542320265e1c5fed18e938db3563a45bfNick Lewycky 837198381e542320265e1c5fed18e938db3563a45bfNick LewyckyConstantRange 838198381e542320265e1c5fed18e938db3563a45bfNick LewyckyConstantRange::binaryOr(const ConstantRange &Other) const { 839198381e542320265e1c5fed18e938db3563a45bfNick Lewycky if (isEmptySet() || Other.isEmptySet()) 840198381e542320265e1c5fed18e938db3563a45bfNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/false); 841198381e542320265e1c5fed18e938db3563a45bfNick Lewycky 842198381e542320265e1c5fed18e938db3563a45bfNick Lewycky // TODO: replace this with something less conservative 843198381e542320265e1c5fed18e938db3563a45bfNick Lewycky 844198381e542320265e1c5fed18e938db3563a45bfNick Lewycky APInt umax = APIntOps::umax(getUnsignedMin(), Other.getUnsignedMin()); 845198381e542320265e1c5fed18e938db3563a45bfNick Lewycky if (umax.isMinValue()) 846198381e542320265e1c5fed18e938db3563a45bfNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/true); 847198381e542320265e1c5fed18e938db3563a45bfNick Lewycky return ConstantRange(umax, APInt::getNullValue(getBitWidth())); 848198381e542320265e1c5fed18e938db3563a45bfNick Lewycky} 849198381e542320265e1c5fed18e938db3563a45bfNick Lewycky 850198381e542320265e1c5fed18e938db3563a45bfNick LewyckyConstantRange 8517f9ef4bb514d5a28637789d8f397dadd4344dc1bNick LewyckyConstantRange::shl(const ConstantRange &Other) const { 8527f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky if (isEmptySet() || Other.isEmptySet()) 8537f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/false); 85434e992da381bf8b1a9cbcc1bde0b117207809649Nuno Lopes 8557f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky APInt min = getUnsignedMin().shl(Other.getUnsignedMin()); 8567f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky APInt max = getUnsignedMax().shl(Other.getUnsignedMax()); 85734e992da381bf8b1a9cbcc1bde0b117207809649Nuno Lopes 85834e992da381bf8b1a9cbcc1bde0b117207809649Nuno Lopes // there's no overflow! 8594459145c2ccb5d063841a5d8c76b8b8ac9adaf2fNuno Lopes APInt Zeros(getBitWidth(), getUnsignedMax().countLeadingZeros()); 8607f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky if (Zeros.ugt(Other.getUnsignedMax())) 8617f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(min, max + 1); 86234e992da381bf8b1a9cbcc1bde0b117207809649Nuno Lopes 86334e992da381bf8b1a9cbcc1bde0b117207809649Nuno Lopes // FIXME: implement the other tricky cases 8647f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/true); 86534e992da381bf8b1a9cbcc1bde0b117207809649Nuno Lopes} 86634e992da381bf8b1a9cbcc1bde0b117207809649Nuno Lopes 86734e992da381bf8b1a9cbcc1bde0b117207809649Nuno LopesConstantRange 8687f9ef4bb514d5a28637789d8f397dadd4344dc1bNick LewyckyConstantRange::lshr(const ConstantRange &Other) const { 8697f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky if (isEmptySet() || Other.isEmptySet()) 8707f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/false); 87134e992da381bf8b1a9cbcc1bde0b117207809649Nuno Lopes 8727f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky APInt max = getUnsignedMax().lshr(Other.getUnsignedMin()); 8737f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky APInt min = getUnsignedMin().lshr(Other.getUnsignedMax()); 8747f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky if (min == max + 1) 8757f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/true); 8767f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky 8777f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(min, max + 1); 87834e992da381bf8b1a9cbcc1bde0b117207809649Nuno Lopes} 87934e992da381bf8b1a9cbcc1bde0b117207809649Nuno Lopes 8809773e45a1e97f5098905bac26b8b8b7c844473f0Owen AndersonConstantRange ConstantRange::inverse() const { 88148a09aec60c5daf67430811e24256d501a576766Nick Lewycky if (isFullSet()) 8827f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/false); 88348a09aec60c5daf67430811e24256d501a576766Nick Lewycky if (isEmptySet()) 8847f9ef4bb514d5a28637789d8f397dadd4344dc1bNick Lewycky return ConstantRange(getBitWidth(), /*isFullSet=*/true); 8859773e45a1e97f5098905bac26b8b8b7c844473f0Owen Anderson return ConstantRange(Upper, Lower); 8869773e45a1e97f5098905bac26b8b8b7c844473f0Owen Anderson} 8879773e45a1e97f5098905bac26b8b8b7c844473f0Owen Anderson 88838b06447615440f935008a2141bd0a1fe078d437Dan Gohman/// print - Print out the bounds to a stream... 889a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman/// 89038b06447615440f935008a2141bd0a1fe078d437Dan Gohmanvoid ConstantRange::print(raw_ostream &OS) const { 891df6d5e03940c8a2a560b74a69061aff4ae1badf3Dan Gohman if (isFullSet()) 892df6d5e03940c8a2a560b74a69061aff4ae1badf3Dan Gohman OS << "full-set"; 893df6d5e03940c8a2a560b74a69061aff4ae1badf3Dan Gohman else if (isEmptySet()) 894df6d5e03940c8a2a560b74a69061aff4ae1badf3Dan Gohman OS << "empty-set"; 895df6d5e03940c8a2a560b74a69061aff4ae1badf3Dan Gohman else 896df6d5e03940c8a2a560b74a69061aff4ae1badf3Dan Gohman OS << "[" << Lower << "," << Upper << ")"; 897a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman} 898a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman 89938b06447615440f935008a2141bd0a1fe078d437Dan Gohman/// dump - Allow printing from a debugger easily... 900a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman/// 901de2d8694e25a814696358e95141f4b1aa4d8847ePirama Arumuga NainarLLVM_DUMP_METHOD void ConstantRange::dump() const { 9027fd5fb4b4755c3df86da5a0ebedf0d328fafbc81David Greene print(dbgs()); 903a3755d8d366fdd7a2415b93ac0253f8e677c9dfdDan Gohman} 904