73#define DEBUG_TYPE "consthoist"
75STATISTIC(NumConstantsHoisted,
"Number of constants hoisted");
76STATISTIC(NumConstantsRebased,
"Number of constants rebased");
80 cl::desc(
"Enable the use of the block frequency analysis to reduce the "
81 "chance to execute const materialization more frequently than "
82 "without hoisting."));
86 cl::desc(
"Try hoisting constant gep expressions"));
90 cl::desc(
"Do not rebase if number of dependent constants of a Base is less "
124char ConstantHoistingLegacyPass::ID = 0;
127 "Constant Hoisting",
false,
false)
136 return new ConstantHoistingLegacyPass();
140bool ConstantHoistingLegacyPass::runOnFunction(
Function &Fn) {
141 if (skipFunction(Fn))
144 LLVM_DEBUG(
dbgs() <<
"********** Begin Constant Hoisting **********\n");
148 Impl.runImpl(Fn, getAnalysis<TargetTransformInfoWrapperPass>().getTTI(Fn),
149 getAnalysis<DominatorTreeWrapperPass>().getDomTree(),
151 ? &getAnalysis<BlockFrequencyInfoWrapperPass>().getBFI()
154 &getAnalysis<ProfileSummaryInfoWrapperPass>().getPSI());
156 LLVM_DEBUG(
dbgs() <<
"********** End Constant Hoisting **********\n");
161void ConstantHoistingPass::collectMatInsertPts(
171 unsigned Idx)
const {
176 if (
auto CastInst = dyn_cast<Instruction>(Opnd))
182 if (!isa<PHINode>(Inst) && !Inst->
isEHPad())
187 assert(Entry != Inst->
getParent() &&
"PHI or landing pad in entry block!");
189 if (
Idx != ~0U && isa<PHINode>(Inst)) {
190 InsertionBlock = cast<PHINode>(Inst)->getIncomingBlock(
Idx);
191 if (!InsertionBlock->
isEHPad()) {
202 while (IDom->getBlock()->isEHPad()) {
203 assert(Entry != IDom->getBlock() &&
"eh pad in entry block");
204 IDom = IDom->getIDom();
207 return IDom->getBlock()->getTerminator()->getIterator();
216 assert(!BBs.
count(Entry) &&
"Assume Entry is not in BBs");
223 for (
auto *BB : BBs) {
240 "Entry doens't dominate current Node");
261 if (Candidates.
count(ChildDomNode->getBlock()))
262 Orders.
push_back(ChildDomNode->getBlock());
267 using InsertPtsCostPair =
276 auto &[InsertPts, InsertPtsFreq] = InsertPtsMap[
Node];
281 if (InsertPtsFreq > BFI.getBlockFreq(
Node) ||
282 (InsertPtsFreq == BFI.getBlockFreq(
Node) && InsertPts.size() > 1))
292 auto &[ParentInsertPts, ParentPtsFreq] = InsertPtsMap[Parent];
301 (InsertPtsFreq > BFI.getBlockFreq(
Node) ||
302 (InsertPtsFreq == BFI.getBlockFreq(
Node) && InsertPts.size() > 1)))) {
304 ParentPtsFreq += BFI.getBlockFreq(
Node);
306 ParentInsertPts.insert_range(InsertPts);
307 ParentPtsFreq += InsertPtsFreq;
314ConstantHoistingPass::findConstantInsertionPoint(
323 BBs.
insert(MatInsertPt->getParent());
325 if (BBs.
count(Entry)) {
333 InsertPts.
insert(BB->getFirstInsertionPt());
337 while (BBs.size() >= 2) {
339 BB1 = BBs.pop_back_val();
340 BB2 = BBs.pop_back_val();
348 assert((BBs.size() == 1) &&
"Expected only one element.");
350 InsertPts.
insert(findMatInsertPt(&FirstInst));
360void ConstantHoistingPass::collectConstantCandidates(
369 if (
auto IntrInst = dyn_cast<IntrinsicInst>(Inst))
382 ConstPtrUnionType Cand = ConstInt;
383 std::tie(Itr, Inserted) = ConstCandMap.try_emplace(Cand);
386 Itr->second = ConstIntCandVec.size() - 1;
390 <<
"Collect constant " << *ConstInt <<
" from " << *Inst
391 <<
" with cost " <<
Cost <<
'\n';
392 else dbgs() <<
"Collect constant " << *ConstInt
393 <<
" indirectly from " << *Inst <<
" via "
400void ConstantHoistingPass::collectConstantCandidates(
415 auto *GEPO = cast<GEPOperator>(ConstExpr);
421 if (!GEPO->isInBounds())
424 if (!GEPO->accumulateConstantOffset(*DL,
Offset))
437 ConstCandVecType &ExprCandVec = ConstGEPCandMap[BaseGV];
440 ConstPtrUnionType Cand = ConstExpr;
441 std::tie(Itr, Inserted) = ConstCandMap.try_emplace(Cand);
446 Itr->second = ExprCandVec.size() - 1;
452void ConstantHoistingPass::collectConstantCandidates(
453 ConstCandMapType &ConstCandMap,
Instruction *Inst,
unsigned Idx) {
457 if (
auto ConstInt = dyn_cast<ConstantInt>(Opnd)) {
458 collectConstantCandidates(ConstCandMap, Inst,
Idx, ConstInt);
463 if (
auto CastInst = dyn_cast<Instruction>(Opnd)) {
472 collectConstantCandidates(ConstCandMap, Inst,
Idx, ConstInt);
478 if (
auto ConstExpr = dyn_cast<ConstantExpr>(Opnd)) {
481 collectConstantCandidates(ConstCandMap, Inst,
Idx, ConstExpr);
487 if (
auto ConstInt = dyn_cast<ConstantInt>(ConstExpr->
getOperand(0))) {
490 collectConstantCandidates(ConstCandMap, Inst,
Idx, ConstInt);
498void ConstantHoistingPass::collectConstantCandidates(
499 ConstCandMapType &ConstCandMap,
Instruction *Inst) {
512 collectConstantCandidates(ConstCandMap, Inst,
Idx);
519void ConstantHoistingPass::collectConstantCandidates(
Function &Fn) {
520 ConstCandMapType ConstCandMap;
527 collectConstantCandidates(ConstCandMap, &Inst);
555ConstantHoistingPass::maximizeConstantsInRange(ConstCandVecType::iterator S,
556 ConstCandVecType::iterator E,
557 ConstCandVecType::iterator &MaxCostItr) {
558 unsigned NumUses = 0;
560 if (!OptForSize || std::distance(S,E) > 100) {
561 for (
auto ConstCand = S; ConstCand != E; ++ConstCand) {
562 NumUses += ConstCand->Uses.size();
563 if (ConstCand->CumulativeCost > MaxCostItr->CumulativeCost)
564 MaxCostItr = ConstCand;
571 for (
auto ConstCand = S; ConstCand != E; ++ConstCand) {
572 auto Value = ConstCand->ConstInt->getValue();
573 Type *Ty = ConstCand->ConstInt->getType();
575 NumUses += ConstCand->Uses.size();
576 LLVM_DEBUG(
dbgs() <<
"= Constant: " << ConstCand->ConstInt->getValue()
579 for (
auto User : ConstCand->Uses) {
580 unsigned Opcode =
User.Inst->getOpcode();
581 unsigned OpndIdx =
User.OpndIdx;
586 for (
auto C2 = S; C2 != E; ++C2) {
587 APInt Diff = C2->ConstInt->getValue() - ConstCand->ConstInt->getValue();
592 <<
"has penalty: " << ImmCosts <<
"\n"
593 <<
"Adjusted cost: " <<
Cost <<
"\n");
597 if (
Cost > MaxCost) {
599 MaxCostItr = ConstCand;
600 LLVM_DEBUG(
dbgs() <<
"New candidate: " << MaxCostItr->ConstInt->getValue()
609void ConstantHoistingPass::findAndMakeBaseConstant(
610 ConstCandVecType::iterator S, ConstCandVecType::iterator E,
613 unsigned NumUses = maximizeConstantsInRange(S, E, MaxCostItr);
627 for (
auto ConstCand = S; ConstCand != E; ++ConstCand) {
628 APInt Diff = ConstCand->ConstInt->getValue() - ConstInt->
getValue();
629 Constant *
Offset = Diff == 0 ? nullptr : ConstantInt::get(Ty, Diff);
631 ConstCand->ConstExpr ? ConstCand->ConstExpr->getType() :
nullptr;
635 ConstInfoVec.
push_back(std::move(ConstInfo));
640void ConstantHoistingPass::findBaseConstants(
GlobalVariable *BaseGV) {
643 ConstCandVecType &ConstCandVec = BaseGV ?
644 ConstGEPCandMap[BaseGV] : ConstIntCandVec;
645 ConstInfoVecType &ConstInfoVec = BaseGV ?
646 ConstGEPInfoMap[BaseGV] : ConstIntInfoVec;
652 return LHS.ConstInt->getBitWidth() <
RHS.ConstInt->getBitWidth();
653 return LHS.ConstInt->getValue().ult(
RHS.ConstInt->getValue());
658 auto MinValItr = ConstCandVec.begin();
659 for (
auto CC = std::next(ConstCandVec.begin()), E = ConstCandVec.end();
661 if (MinValItr->ConstInt->getType() == CC->ConstInt->getType()) {
662 Type *MemUseValTy =
nullptr;
663 for (
auto &U : CC->Uses) {
665 if (
LoadInst *LI = dyn_cast<LoadInst>(UI)) {
666 MemUseValTy = LI->getType();
668 }
else if (
StoreInst *SI = dyn_cast<StoreInst>(UI)) {
670 if (
SI->getPointerOperand() ==
SI->getOperand(
U.OpndIdx)) {
671 MemUseValTy =
SI->getValueOperand()->getType();
678 APInt Diff = CC->ConstInt->getValue() - MinValItr->ConstInt->getValue();
690 findAndMakeBaseConstant(MinValItr, CC, ConstInfoVec);
695 findAndMakeBaseConstant(MinValItr, ConstCandVec.end(), ConstInfoVec);
705 if (
auto PHI = dyn_cast<PHINode>(Inst)) {
713 for (
unsigned i = 0; i <
Idx; ++i) {
714 if (
PHI->getIncomingBlock(i) == IncomingBB) {
715 Value *IncomingVal =
PHI->getIncomingValue(i);
729 UserAdjustment *Adj) {
733 if (!Adj->Offset && Adj->Ty && Adj->Ty !=
Base->getType())
740 "mat_gep", Adj->MatInsertPt);
743 Adj->MatInsertPt->getIterator());
748 "const_mat", Adj->MatInsertPt->getIterator());
751 <<
" + " << *Adj->Offset <<
") in BB "
756 Value *Opnd = Adj->User.Inst->getOperand(Adj->User.OpndIdx);
759 if (isa<ConstantInt>(Opnd)) {
761 if (!
updateOperand(Adj->User.Inst, Adj->User.OpndIdx, Mat) && Adj->Offset)
768 if (
auto CastInst = dyn_cast<Instruction>(Opnd)) {
773 if (!ClonedCastInst) {
780 <<
"To : " << *ClonedCastInst <<
'\n');
784 updateOperand(Adj->User.Inst, Adj->User.OpndIdx, ClonedCastInst);
790 if (
auto ConstExpr = dyn_cast<ConstantExpr>(Opnd)) {
791 if (isa<GEPOperator>(ConstExpr)) {
798 assert(ConstExpr->
isCast() &&
"ConstExpr should be a cast");
804 ConstExprInst->
setDebugLoc(Adj->User.Inst->getDebugLoc());
806 LLVM_DEBUG(
dbgs() <<
"Create instruction: " << *ConstExprInst <<
'\n'
807 <<
"From : " << *ConstExpr <<
'\n');
809 if (!
updateOperand(Adj->User.Inst, Adj->User.OpndIdx, ConstExprInst)) {
821bool ConstantHoistingPass::emitBaseConstants(
GlobalVariable *BaseGV) {
822 bool MadeChange =
false;
824 BaseGV ? ConstGEPInfoMap[BaseGV] : ConstIntInfoVec;
829 findConstantInsertionPoint(ConstInfo, MatInsertPts);
834 unsigned UsesNum = 0;
835 unsigned ReBasesNum = 0;
836 unsigned NotRebasedNum = 0;
843 UsesNum += RCI.Uses.size();
844 for (
auto const &U : RCI.Uses) {
849 if (IPSet.size() == 1 ||
850 DT->
dominates(IP->getParent(), OrigMatInsertBB))
851 ToBeRebased.
emplace_back(RCI.Offset, RCI.Ty, MatInsertPt, U);
858 NotRebasedNum += ToBeRebased.
size();
866 assert(BaseGV &&
"A base constant expression must have an base GV");
874 Base->setDebugLoc(IP->getDebugLoc());
877 <<
") to BB " << IP->getParent()->
getName() <<
'\n'
881 for (UserAdjustment &R : ToBeRebased) {
882 emitBaseConstants(
Base, &R);
886 Base->getDebugLoc(),
R.User.Inst->getDebugLoc()));
888 assert(!
Base->use_empty() &&
"The use list is empty!?");
890 "All uses should be instructions.");
896 assert(UsesNum == (ReBasesNum + NotRebasedNum) &&
897 "Not all uses are rebased");
899 NumConstantsHoisted++;
912void ConstantHoistingPass::deleteDeadCastInst()
const {
913 for (
auto const &
I : ClonedCastMap)
914 if (
I.first->use_empty())
915 I.first->eraseFromParent();
927 this->Entry = &Entry;
933 collectConstantCandidates(Fn);
937 if (!ConstIntCandVec.empty())
938 findBaseConstants(
nullptr);
939 for (
const auto &MapEntry : ConstGEPCandMap)
940 if (!MapEntry.second.empty())
941 findBaseConstants(MapEntry.first);
945 bool MadeChange =
false;
946 if (!ConstIntInfoVec.
empty())
947 MadeChange = emitBaseConstants(
nullptr);
948 for (
const auto &MapEntry : ConstGEPInfoMap)
949 if (!MapEntry.second.empty())
950 MadeChange |= emitBaseConstants(MapEntry.first);
954 deleteDeadCastInst();
assert(UImm &&(UImm !=~static_cast< T >(0)) &&"Invalid immediate!")
This file implements a class to represent arbitrary precision integral constant values and operations...
static bool updateOperand(Instruction *Inst, unsigned Idx, Instruction *Mat)
Updates the operand at Idx in instruction Inst with the result of instruction Mat.
static void findBestInsertionSet(DominatorTree &DT, BlockFrequencyInfo &BFI, BasicBlock *Entry, SetVector< BasicBlock * > &BBs)
Given BBs as input, find another set of BBs which collectively dominates BBs and have the minimal sum...
static cl::opt< unsigned > MinNumOfDependentToRebase("consthoist-min-num-to-rebase", cl::desc("Do not rebase if number of dependent constants of a Base is less " "than this number."), cl::init(0), cl::Hidden)
static cl::opt< bool > ConstHoistWithBlockFrequency("consthoist-with-block-frequency", cl::init(true), cl::Hidden, cl::desc("Enable the use of the block frequency analysis to reduce the " "chance to execute const materialization more frequently than " "without hoisting."))
static cl::opt< bool > ConstHoistGEP("consthoist-gep", cl::init(false), cl::Hidden, cl::desc("Try hoisting constant gep expressions"))
This file contains the declarations for the subclasses of Constant, which represent the different fla...
Returns the sub type a function will return at a given Idx Should correspond to the result type of an ExtractValue instruction executed with just that one unsigned Idx
This file defines the DenseMap class.
static bool isCandidate(const MachineInstr *MI, Register &DefedReg, Register FrameReg)
#define INITIALIZE_PASS_DEPENDENCY(depName)
#define INITIALIZE_PASS_END(passName, arg, name, cfg, analysis)
#define INITIALIZE_PASS_BEGIN(passName, arg, name, cfg, analysis)
This file defines the SmallPtrSet class.
This file defines the SmallVector class.
This file defines the 'Statistic' class, which is designed to be an easy way to expose various metric...
#define STATISTIC(VARNAME, DESC)
Class for arbitrary precision integers.
unsigned getBitWidth() const
Return the number of bits in the APInt.
int64_t getSExtValue() const
Get sign extended value.
A container for analyses that lazily runs them and caches their results.
PassT::Result & getResult(IRUnitT &IR, ExtraArgTs... ExtraArgs)
Get the result of an analysis pass for a given IR unit.
Represent the analysis usage information of a pass.
AnalysisUsage & addRequired()
LLVM_ABI void setPreservesCFG()
This function should be called by the pass, iff they do not:
ArrayRef - Represent a constant reference to an array (0 or more elements consecutively in memory),...
LLVM Basic Block Representation.
iterator begin()
Instruction iterator methods.
const Function * getParent() const
Return the enclosing method, or null if none.
InstListType::iterator iterator
Instruction iterators...
bool isEHPad() const
Return true if this basic block is an exception handling block.
const Instruction * getTerminator() const LLVM_READONLY
Returns the terminator instruction if the block is well formed or null if the block is not well forme...
static LLVM_ABI BinaryOperator * Create(BinaryOps Op, Value *S1, Value *S2, const Twine &Name=Twine(), InsertPosition InsertBefore=nullptr)
Construct a binary instruction, given the opcode and the two operands.
This class represents a no-op cast from one type to another.
Analysis pass which computes BlockFrequencyInfo.
Legacy analysis pass which computes BlockFrequencyInfo.
BlockFrequencyInfo pass uses BlockFrequencyInfoImpl implementation to estimate IR basic block frequen...
Represents analyses that only rely on functions' control flow.
This is the base class for all instructions that perform data casts.
A constant value that is initialized with an expression using other constant values.
LLVM_ABI bool isCast() const
Return true if this is a convert constant expression.
LLVM_ABI Instruction * getAsInstruction() const
Returns an Instruction which implements the same operation as this ConstantExpr.
bool runImpl(Function &F, TargetTransformInfo &TTI, DominatorTree &DT, BlockFrequencyInfo *BFI, BasicBlock &Entry, ProfileSummaryInfo *PSI)
Optimize expensive integer constants in the given function.
PreservedAnalyses run(Function &F, FunctionAnalysisManager &AM)
This is the shared class of boolean and integer constants.
IntegerType * getIntegerType() const
Variant of the getType() method to always return an IntegerType, which reduces the amount of casting ...
const APInt & getValue() const
Return the constant as an APInt value reference.
This is an important base class in LLVM.
LLVM_ABI IntegerType * getIndexType(LLVMContext &C, unsigned AddressSpace) const
Returns the type of a GEP index in AddressSpace.
TypeSize getTypeSizeInBits(Type *Ty) const
Size examples:
static LLVM_ABI DebugLoc getMergedLocation(DebugLoc LocA, DebugLoc LocB)
When two instructions are combined into a single instruction we also need to combine the original loc...
DenseMapIterator< KeyT, ValueT, KeyInfoT, BucketT > iterator
std::pair< iterator, bool > insert(const std::pair< KeyT, ValueT > &KV)
void reserve(size_type NumEntries)
Grow the densemap so that it can contain at least NumEntries items before resizing again.
iterator_range< iterator > children()
DomTreeNodeBase * getIDom() const
Analysis pass which computes a DominatorTree.
DomTreeNodeBase< NodeT > * getNode(const NodeT *BB) const
getNode - return the (Post)DominatorTree node for the specified basic block.
Legacy analysis pass which computes a DominatorTree.
Concrete subclass of DominatorTreeBase that is used to compute a normal dominator tree.
LLVM_ABI bool isReachableFromEntry(const Use &U) const
Provide an overload for a Use.
LLVM_ABI Instruction * findNearestCommonDominator(Instruction *I1, Instruction *I2) const
Find the nearest instruction I that dominates both I1 and I2, in the sense that a result produced bef...
LLVM_ABI bool dominates(const BasicBlock *BB, const Use &U) const
Return true if the (end of the) basic block BB dominates the use U.
FunctionPass class - This class is used to implement most global optimizations.
virtual bool runOnFunction(Function &F)=0
runOnFunction - Virtual method overriden by subclasses to do the per-function processing of the pass.
const BasicBlock & getEntryBlock() const
const DataLayout & getDataLayout() const
Get the data layout of the module this function belongs to.
LLVMContext & getContext() const
getContext - Return a reference to the LLVMContext associated with this function.
static GetElementPtrInst * Create(Type *PointeeType, Value *Ptr, ArrayRef< Value * > IdxList, const Twine &NameStr="", InsertPosition InsertBefore=nullptr)
PointerType * getType() const
Global values are always pointers.
CostType getValue() const
This function is intended to be used as sparingly as possible, since the class provides the full rang...
LLVM_ABI Instruction * clone() const
Create a copy of 'this' instruction that is identical in all ways except the following:
const DebugLoc & getDebugLoc() const
Return the debug location for this node as a DebugLoc.
LLVM_ABI void insertBefore(InstListType::iterator InsertPos)
Insert an unlinked instruction into a basic block immediately before the specified position.
bool isEHPad() const
Return true if the instruction is a variety of EH-block.
LLVM_ABI InstListType::iterator eraseFromParent()
This method unlinks 'this' from the containing basic block and deletes it.
unsigned getOpcode() const
Returns a member of one of the enums like Instruction::Add.
void setDebugLoc(DebugLoc Loc)
Set the debug location information for this instruction.
LLVM_ABI void insertAfter(Instruction *InsertPos)
Insert an unlinked instruction into a basic block immediately after the specified instruction.
Class to represent integer types.
An instruction for reading from memory.
An analysis over an "inner" IR unit that provides access to an analysis manager over a "outer" IR uni...
static LLVM_ABI PassRegistry * getPassRegistry()
getPassRegistry - Access the global registry object, which is automatically initialized at applicatio...
virtual void getAnalysisUsage(AnalysisUsage &) const
getAnalysisUsage - This function should be overriden by passes that need analysis information to do t...
virtual StringRef getPassName() const
getPassName - Return a nice clean name for a pass.
A set of analyses that are preserved following a run of a transformation pass.
static PreservedAnalyses all()
Construct a special preserved set that preserves all passes.
PreservedAnalyses & preserveSet()
Mark an analysis set as preserved.
An analysis pass based on the new PM to deliver ProfileSummaryInfo.
An analysis pass based on legacy pass manager to deliver ProfileSummaryInfo.
Analysis providing profile information.
A vector that has set insertion semantics.
void insert_range(Range &&R)
void clear()
Completely clear the SetVector.
size_type count(const key_type &key) const
Count the number of elements of a given key in the SetVector.
bool empty() const
Determine if the SetVector is empty or not.
bool insert(const value_type &X)
Insert a new element into the SetVector.
size_type count(ConstPtrType Ptr) const
count - Return 1 if the specified pointer is in the set, 0 otherwise.
void insert_range(Range &&R)
SmallPtrSet - This class implements a set which is optimized for holding SmallSize or less elements.
This class consists of common code factored out of the SmallVector class to reduce code duplication b...
reference emplace_back(ArgTypes &&... Args)
void push_back(const T &Elt)
An instruction for storing to memory.
StringRef - Represent a constant reference to a string, i.e.
Analysis pass providing the TargetTransformInfo.
The instances of the Type class are immutable: once they are created, they are never changed.
bool isVectorTy() const
True if this is an instance of VectorType.
static LLVM_ABI IntegerType * getInt8Ty(LLVMContext &C)
static LLVM_ABI IntegerType * getInt32Ty(LLVMContext &C)
void setOperand(unsigned i, Value *Val)
Value * getOperand(unsigned i) const
unsigned getNumOperands() const
LLVM Value Representation.
Type * getType() const
All values are typed, get the type of this value.
LLVM_ABI StringRef getName() const
Return a constant reference to the value's name.
const ParentTy * getParent() const
self_iterator getIterator()
unsigned ID
LLVM IR allows to use arbitrary numbers as calling convention identifiers.
initializer< Ty > init(const Ty &Val)
This is an optimization pass for GlobalISel generic memory operations.
void stable_sort(R &&Range)
LLVM_ABI FunctionPass * createConstantHoistingPass()
LLVM_ABI bool shouldOptimizeForSize(const MachineFunction *MF, ProfileSummaryInfo *PSI, const MachineBlockFrequencyInfo *BFI, PGSOQueryType QueryType=PGSOQueryType::Other)
Returns true if machine function MF is suggested to be size-optimized based on the profile.
auto reverse(ContainerTy &&C)
LLVM_ABI raw_ostream & dbgs()
dbgs() - This returns a reference to a raw_ostream for debugging messages.
LLVM_ABI void initializeConstantHoistingLegacyPassPass(PassRegistry &)
LLVM_ABI bool canReplaceOperandWithVariable(const Instruction *I, unsigned OpIdx)
Given an instruction, is it legal to set operand OpIdx to a non-constant value?
Keeps track of a constant candidate and its uses.
A base constant and all its rebased constants.
RebasedConstantListType RebasedConstants
Keeps track of the user of a constant and the operand index where the constant is used.
This represents a constant that has been rebased with respect to a base constant.