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- #pragma once
- #ifdef __GNUC__
- #pragma GCC diagnostic push
- #pragma GCC diagnostic ignored "-Wunused-parameter"
- #endif
- //===- ConstantRange.h - Represent a range ----------------------*- C++ -*-===//
- //
- // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
- // See https://llvm.org/LICENSE.txt for license information.
- // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
- //
- //===----------------------------------------------------------------------===//
- //
- // Represent a range of possible values that may occur when the program is run
- // for an integral value. This keeps track of a lower and upper bound for the
- // constant, which MAY wrap around the end of the numeric range. To do this, it
- // keeps track of a [lower, upper) bound, which specifies an interval just like
- // STL iterators. When used with boolean values, the following are important
- // ranges: :
- //
- // [F, F) = {} = Empty set
- // [T, F) = {T}
- // [F, T) = {F}
- // [T, T) = {F, T} = Full set
- //
- // The other integral ranges use min/max values for special range values. For
- // example, for 8-bit types, it uses:
- // [0, 0) = {} = Empty set
- // [255, 255) = {0..255} = Full Set
- //
- // Note that ConstantRange can be used to represent either signed or
- // unsigned ranges.
- //
- //===----------------------------------------------------------------------===//
- #ifndef LLVM_IR_CONSTANTRANGE_H
- #define LLVM_IR_CONSTANTRANGE_H
- #include "llvm/ADT/APInt.h"
- #include "llvm/IR/InstrTypes.h"
- #include "llvm/IR/Instruction.h"
- #include "llvm/Support/Compiler.h"
- #include <cstdint>
- namespace llvm {
- class MDNode;
- class raw_ostream;
- struct KnownBits;
- /// This class represents a range of values.
- class LLVM_NODISCARD ConstantRange {
- APInt Lower, Upper;
- /// Create empty constant range with same bitwidth.
- ConstantRange getEmpty() const {
- return ConstantRange(getBitWidth(), false);
- }
- /// Create full constant range with same bitwidth.
- ConstantRange getFull() const {
- return ConstantRange(getBitWidth(), true);
- }
- public:
- /// Initialize a full or empty set for the specified bit width.
- explicit ConstantRange(uint32_t BitWidth, bool isFullSet);
- /// Initialize a range to hold the single specified value.
- ConstantRange(APInt Value);
- /// Initialize a range of values explicitly. This will assert out if
- /// Lower==Upper and Lower != Min or Max value for its type. It will also
- /// assert out if the two APInt's are not the same bit width.
- ConstantRange(APInt Lower, APInt Upper);
- /// Create empty constant range with the given bit width.
- static ConstantRange getEmpty(uint32_t BitWidth) {
- return ConstantRange(BitWidth, false);
- }
- /// Create full constant range with the given bit width.
- static ConstantRange getFull(uint32_t BitWidth) {
- return ConstantRange(BitWidth, true);
- }
- /// Create non-empty constant range with the given bounds. If Lower and
- /// Upper are the same, a full range is returned.
- static ConstantRange getNonEmpty(APInt Lower, APInt Upper) {
- if (Lower == Upper)
- return getFull(Lower.getBitWidth());
- return ConstantRange(std::move(Lower), std::move(Upper));
- }
- /// Initialize a range based on a known bits constraint. The IsSigned flag
- /// indicates whether the constant range should not wrap in the signed or
- /// unsigned domain.
- static ConstantRange fromKnownBits(const KnownBits &Known, bool IsSigned);
- /// Produce the smallest range such that all values that may satisfy the given
- /// predicate with any value contained within Other is contained in the
- /// returned range. Formally, this returns a superset of
- /// 'union over all y in Other . { x : icmp op x y is true }'. If the exact
- /// answer is not representable as a ConstantRange, the return value will be a
- /// proper superset of the above.
- ///
- /// Example: Pred = ult and Other = i8 [2, 5) returns Result = [0, 4)
- static ConstantRange makeAllowedICmpRegion(CmpInst::Predicate Pred,
- const ConstantRange &Other);
- /// Produce the largest range such that all values in the returned range
- /// satisfy the given predicate with all values contained within Other.
- /// Formally, this returns a subset of
- /// 'intersection over all y in Other . { x : icmp op x y is true }'. If the
- /// exact answer is not representable as a ConstantRange, the return value
- /// will be a proper subset of the above.
- ///
- /// Example: Pred = ult and Other = i8 [2, 5) returns [0, 2)
- static ConstantRange makeSatisfyingICmpRegion(CmpInst::Predicate Pred,
- const ConstantRange &Other);
- /// Produce the exact range such that all values in the returned range satisfy
- /// the given predicate with any value contained within Other. Formally, this
- /// returns the exact answer when the superset of 'union over all y in Other
- /// is exactly same as the subset of intersection over all y in Other.
- /// { x : icmp op x y is true}'.
- ///
- /// Example: Pred = ult and Other = i8 3 returns [0, 3)
- static ConstantRange makeExactICmpRegion(CmpInst::Predicate Pred,
- const APInt &Other);
- /// Produce the largest range containing all X such that "X BinOp Y" is
- /// guaranteed not to wrap (overflow) for *all* Y in Other. However, there may
- /// be *some* Y in Other for which additional X not contained in the result
- /// also do not overflow.
- ///
- /// NoWrapKind must be one of OBO::NoUnsignedWrap or OBO::NoSignedWrap.
- ///
- /// Examples:
- /// typedef OverflowingBinaryOperator OBO;
- /// #define MGNR makeGuaranteedNoWrapRegion
- /// MGNR(Add, [i8 1, 2), OBO::NoSignedWrap) == [-128, 127)
- /// MGNR(Add, [i8 1, 2), OBO::NoUnsignedWrap) == [0, -1)
- /// MGNR(Add, [i8 0, 1), OBO::NoUnsignedWrap) == Full Set
- /// MGNR(Add, [i8 -1, 6), OBO::NoSignedWrap) == [INT_MIN+1, INT_MAX-4)
- /// MGNR(Sub, [i8 1, 2), OBO::NoSignedWrap) == [-127, 128)
- /// MGNR(Sub, [i8 1, 2), OBO::NoUnsignedWrap) == [1, 0)
- static ConstantRange makeGuaranteedNoWrapRegion(Instruction::BinaryOps BinOp,
- const ConstantRange &Other,
- unsigned NoWrapKind);
- /// Produce the range that contains X if and only if "X BinOp Other" does
- /// not wrap.
- static ConstantRange makeExactNoWrapRegion(Instruction::BinaryOps BinOp,
- const APInt &Other,
- unsigned NoWrapKind);
- /// Returns true if ConstantRange calculations are supported for intrinsic
- /// with \p IntrinsicID.
- static bool isIntrinsicSupported(Intrinsic::ID IntrinsicID);
- /// Compute range of intrinsic result for the given operand ranges.
- static ConstantRange intrinsic(Intrinsic::ID IntrinsicID,
- ArrayRef<ConstantRange> Ops);
- /// Set up \p Pred and \p RHS such that
- /// ConstantRange::makeExactICmpRegion(Pred, RHS) == *this. Return true if
- /// successful.
- bool getEquivalentICmp(CmpInst::Predicate &Pred, APInt &RHS) const;
- /// Return the lower value for this range.
- const APInt &getLower() const { return Lower; }
- /// Return the upper value for this range.
- const APInt &getUpper() const { return Upper; }
- /// Get the bit width of this ConstantRange.
- uint32_t getBitWidth() const { return Lower.getBitWidth(); }
- /// Return true if this set contains all of the elements possible
- /// for this data-type.
- bool isFullSet() const;
- /// Return true if this set contains no members.
- bool isEmptySet() const;
- /// Return true if this set wraps around the unsigned domain. Special cases:
- /// * Empty set: Not wrapped.
- /// * Full set: Not wrapped.
- /// * [X, 0) == [X, Max]: Not wrapped.
- bool isWrappedSet() const;
- /// Return true if the exclusive upper bound wraps around the unsigned
- /// domain. Special cases:
- /// * Empty set: Not wrapped.
- /// * Full set: Not wrapped.
- /// * [X, 0): Wrapped.
- bool isUpperWrapped() const;
- /// Return true if this set wraps around the signed domain. Special cases:
- /// * Empty set: Not wrapped.
- /// * Full set: Not wrapped.
- /// * [X, SignedMin) == [X, SignedMax]: Not wrapped.
- bool isSignWrappedSet() const;
- /// Return true if the (exclusive) upper bound wraps around the signed
- /// domain. Special cases:
- /// * Empty set: Not wrapped.
- /// * Full set: Not wrapped.
- /// * [X, SignedMin): Wrapped.
- bool isUpperSignWrapped() const;
- /// Return true if the specified value is in the set.
- bool contains(const APInt &Val) const;
- /// Return true if the other range is a subset of this one.
- bool contains(const ConstantRange &CR) const;
- /// If this set contains a single element, return it, otherwise return null.
- const APInt *getSingleElement() const {
- if (Upper == Lower + 1)
- return &Lower;
- return nullptr;
- }
- /// If this set contains all but a single element, return it, otherwise return
- /// null.
- const APInt *getSingleMissingElement() const {
- if (Lower == Upper + 1)
- return &Upper;
- return nullptr;
- }
- /// Return true if this set contains exactly one member.
- bool isSingleElement() const { return getSingleElement() != nullptr; }
- /// Compare set size of this range with the range CR.
- bool isSizeStrictlySmallerThan(const ConstantRange &CR) const;
- /// Compare set size of this range with Value.
- bool isSizeLargerThan(uint64_t MaxSize) const;
- /// Return true if all values in this range are negative.
- bool isAllNegative() const;
- /// Return true if all values in this range are non-negative.
- bool isAllNonNegative() const;
- /// Return the largest unsigned value contained in the ConstantRange.
- APInt getUnsignedMax() const;
- /// Return the smallest unsigned value contained in the ConstantRange.
- APInt getUnsignedMin() const;
- /// Return the largest signed value contained in the ConstantRange.
- APInt getSignedMax() const;
- /// Return the smallest signed value contained in the ConstantRange.
- APInt getSignedMin() const;
- /// Return true if this range is equal to another range.
- bool operator==(const ConstantRange &CR) const {
- return Lower == CR.Lower && Upper == CR.Upper;
- }
- bool operator!=(const ConstantRange &CR) const {
- return !operator==(CR);
- }
- /// Compute the maximal number of active bits needed to represent every value
- /// in this range.
- unsigned getActiveBits() const;
- /// Compute the maximal number of bits needed to represent every value
- /// in this signed range.
- unsigned getMinSignedBits() const;
- /// Subtract the specified constant from the endpoints of this constant range.
- ConstantRange subtract(const APInt &CI) const;
- /// Subtract the specified range from this range (aka relative complement of
- /// the sets).
- ConstantRange difference(const ConstantRange &CR) const;
- /// If represented precisely, the result of some range operations may consist
- /// of multiple disjoint ranges. As only a single range may be returned, any
- /// range covering these disjoint ranges constitutes a valid result, but some
- /// may be more useful than others depending on context. The preferred range
- /// type specifies whether a range that is non-wrapping in the unsigned or
- /// signed domain, or has the smallest size, is preferred. If a signedness is
- /// preferred but all ranges are non-wrapping or all wrapping, then the
- /// smallest set size is preferred. If there are multiple smallest sets, any
- /// one of them may be returned.
- enum PreferredRangeType { Smallest, Unsigned, Signed };
- /// Return the range that results from the intersection of this range with
- /// another range. If the intersection is disjoint, such that two results
- /// are possible, the preferred range is determined by the PreferredRangeType.
- ConstantRange intersectWith(const ConstantRange &CR,
- PreferredRangeType Type = Smallest) const;
- /// Return the range that results from the union of this range
- /// with another range. The resultant range is guaranteed to include the
- /// elements of both sets, but may contain more. For example, [3, 9) union
- /// [12,15) is [3, 15), which includes 9, 10, and 11, which were not included
- /// in either set before.
- ConstantRange unionWith(const ConstantRange &CR,
- PreferredRangeType Type = Smallest) const;
- /// Return a new range representing the possible values resulting
- /// from an application of the specified cast operator to this range. \p
- /// BitWidth is the target bitwidth of the cast. For casts which don't
- /// change bitwidth, it must be the same as the source bitwidth. For casts
- /// which do change bitwidth, the bitwidth must be consistent with the
- /// requested cast and source bitwidth.
- ConstantRange castOp(Instruction::CastOps CastOp,
- uint32_t BitWidth) const;
- /// Return a new range in the specified integer type, which must
- /// be strictly larger than the current type. The returned range will
- /// correspond to the possible range of values if the source range had been
- /// zero extended to BitWidth.
- ConstantRange zeroExtend(uint32_t BitWidth) const;
- /// Return a new range in the specified integer type, which must
- /// be strictly larger than the current type. The returned range will
- /// correspond to the possible range of values if the source range had been
- /// sign extended to BitWidth.
- ConstantRange signExtend(uint32_t BitWidth) const;
- /// Return a new range in the specified integer type, which must be
- /// strictly smaller than the current type. The returned range will
- /// correspond to the possible range of values if the source range had been
- /// truncated to the specified type.
- ConstantRange truncate(uint32_t BitWidth) const;
- /// Make this range have the bit width given by \p BitWidth. The
- /// value is zero extended, truncated, or left alone to make it that width.
- ConstantRange zextOrTrunc(uint32_t BitWidth) const;
- /// Make this range have the bit width given by \p BitWidth. The
- /// value is sign extended, truncated, or left alone to make it that width.
- ConstantRange sextOrTrunc(uint32_t BitWidth) const;
- /// Return a new range representing the possible values resulting
- /// from an application of the specified binary operator to an left hand side
- /// of this range and a right hand side of \p Other.
- ConstantRange binaryOp(Instruction::BinaryOps BinOp,
- const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from an application of the specified overflowing binary operator to a
- /// left hand side of this range and a right hand side of \p Other given
- /// the provided knowledge about lack of wrapping \p NoWrapKind.
- ConstantRange overflowingBinaryOp(Instruction::BinaryOps BinOp,
- const ConstantRange &Other,
- unsigned NoWrapKind) const;
- /// Return a new range representing the possible values resulting
- /// from an addition of a value in this range and a value in \p Other.
- ConstantRange add(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from an addition with wrap type \p NoWrapKind of a value in this
- /// range and a value in \p Other.
- /// If the result range is disjoint, the preferred range is determined by the
- /// \p PreferredRangeType.
- ConstantRange addWithNoWrap(const ConstantRange &Other, unsigned NoWrapKind,
- PreferredRangeType RangeType = Smallest) const;
- /// Return a new range representing the possible values resulting
- /// from a subtraction of a value in this range and a value in \p Other.
- ConstantRange sub(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from an subtraction with wrap type \p NoWrapKind of a value in this
- /// range and a value in \p Other.
- /// If the result range is disjoint, the preferred range is determined by the
- /// \p PreferredRangeType.
- ConstantRange subWithNoWrap(const ConstantRange &Other, unsigned NoWrapKind,
- PreferredRangeType RangeType = Smallest) const;
- /// Return a new range representing the possible values resulting
- /// from a multiplication of a value in this range and a value in \p Other,
- /// treating both this and \p Other as unsigned ranges.
- ConstantRange multiply(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from a signed maximum of a value in this range and a value in \p Other.
- ConstantRange smax(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from an unsigned maximum of a value in this range and a value in \p Other.
- ConstantRange umax(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from a signed minimum of a value in this range and a value in \p Other.
- ConstantRange smin(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from an unsigned minimum of a value in this range and a value in \p Other.
- ConstantRange umin(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from an unsigned division of a value in this range and a value in
- /// \p Other.
- ConstantRange udiv(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from a signed division of a value in this range and a value in
- /// \p Other. Division by zero and division of SignedMin by -1 are considered
- /// undefined behavior, in line with IR, and do not contribute towards the
- /// result.
- ConstantRange sdiv(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from an unsigned remainder operation of a value in this range and a
- /// value in \p Other.
- ConstantRange urem(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from a signed remainder operation of a value in this range and a
- /// value in \p Other.
- ConstantRange srem(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting from
- /// a binary-xor of a value in this range by an all-one value,
- /// aka bitwise complement operation.
- ConstantRange binaryNot() const;
- /// Return a new range representing the possible values resulting
- /// from a binary-and of a value in this range by a value in \p Other.
- ConstantRange binaryAnd(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from a binary-or of a value in this range by a value in \p Other.
- ConstantRange binaryOr(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from a binary-xor of a value in this range by a value in \p Other.
- ConstantRange binaryXor(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting
- /// from a left shift of a value in this range by a value in \p Other.
- /// TODO: This isn't fully implemented yet.
- ConstantRange shl(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting from a
- /// logical right shift of a value in this range and a value in \p Other.
- ConstantRange lshr(const ConstantRange &Other) const;
- /// Return a new range representing the possible values resulting from a
- /// arithmetic right shift of a value in this range and a value in \p Other.
- ConstantRange ashr(const ConstantRange &Other) const;
- /// Perform an unsigned saturating addition of two constant ranges.
- ConstantRange uadd_sat(const ConstantRange &Other) const;
- /// Perform a signed saturating addition of two constant ranges.
- ConstantRange sadd_sat(const ConstantRange &Other) const;
- /// Perform an unsigned saturating subtraction of two constant ranges.
- ConstantRange usub_sat(const ConstantRange &Other) const;
- /// Perform a signed saturating subtraction of two constant ranges.
- ConstantRange ssub_sat(const ConstantRange &Other) const;
- /// Perform an unsigned saturating multiplication of two constant ranges.
- ConstantRange umul_sat(const ConstantRange &Other) const;
- /// Perform a signed saturating multiplication of two constant ranges.
- ConstantRange smul_sat(const ConstantRange &Other) const;
- /// Perform an unsigned saturating left shift of this constant range by a
- /// value in \p Other.
- ConstantRange ushl_sat(const ConstantRange &Other) const;
- /// Perform a signed saturating left shift of this constant range by a
- /// value in \p Other.
- ConstantRange sshl_sat(const ConstantRange &Other) const;
- /// Return a new range that is the logical not of the current set.
- ConstantRange inverse() const;
- /// Calculate absolute value range. If the original range contains signed
- /// min, then the resulting range will contain signed min if and only if
- /// \p IntMinIsPoison is false.
- ConstantRange abs(bool IntMinIsPoison = false) const;
- /// Represents whether an operation on the given constant range is known to
- /// always or never overflow.
- enum class OverflowResult {
- /// Always overflows in the direction of signed/unsigned min value.
- AlwaysOverflowsLow,
- /// Always overflows in the direction of signed/unsigned max value.
- AlwaysOverflowsHigh,
- /// May or may not overflow.
- MayOverflow,
- /// Never overflows.
- NeverOverflows,
- };
- /// Return whether unsigned add of the two ranges always/never overflows.
- OverflowResult unsignedAddMayOverflow(const ConstantRange &Other) const;
- /// Return whether signed add of the two ranges always/never overflows.
- OverflowResult signedAddMayOverflow(const ConstantRange &Other) const;
- /// Return whether unsigned sub of the two ranges always/never overflows.
- OverflowResult unsignedSubMayOverflow(const ConstantRange &Other) const;
- /// Return whether signed sub of the two ranges always/never overflows.
- OverflowResult signedSubMayOverflow(const ConstantRange &Other) const;
- /// Return whether unsigned mul of the two ranges always/never overflows.
- OverflowResult unsignedMulMayOverflow(const ConstantRange &Other) const;
- /// Print out the bounds to a stream.
- void print(raw_ostream &OS) const;
- /// Allow printing from a debugger easily.
- void dump() const;
- };
- inline raw_ostream &operator<<(raw_ostream &OS, const ConstantRange &CR) {
- CR.print(OS);
- return OS;
- }
- /// Parse out a conservative ConstantRange from !range metadata.
- ///
- /// E.g. if RangeMD is !{i32 0, i32 10, i32 15, i32 20} then return [0, 20).
- ConstantRange getConstantRangeFromMetadata(const MDNode &RangeMD);
- } // end namespace llvm
- #endif // LLVM_IR_CONSTANTRANGE_H
- #ifdef __GNUC__
- #pragma GCC diagnostic pop
- #endif
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