MLIR  17.0.0git
mlir::FlatAffineValueConstraints Class Reference

FlatAffineValueConstraints represents an extension of IntegerPolyhedron where each non-local variable can have an SSA Value attached to it. More...

#include "mlir/Dialect/Affine/Analysis/AffineStructures.h"

Inheritance diagram for mlir::FlatAffineValueConstraints:
Collaboration diagram for mlir::FlatAffineValueConstraints:

## Public Member Functions

FlatAffineValueConstraints (unsigned numReservedInequalities, unsigned numReservedEqualities, unsigned numReservedCols, unsigned numDims, unsigned numSymbols, unsigned numLocals, ArrayRef< std::optional< Value >> valArgs={})
Constructs a constraint system reserving memory for the specified number of constraints and variables. More...

FlatAffineValueConstraints (unsigned numDims=0, unsigned numSymbols=0, unsigned numLocals=0, ArrayRef< std::optional< Value >> valArgs={})
Constructs a constraint system with the specified number of dimensions and symbols. More...

FlatAffineValueConstraints (const IntegerPolyhedron &fac, ArrayRef< std::optional< Value >> valArgs={})

FlatAffineValueConstraints (const AffineValueMap &avm)
Create a flat affine constraint system from an AffineValueMap or a list of these. More...

FlatAffineValueConstraints (ArrayRef< const AffineValueMap * > avmRef)

FlatAffineValueConstraints (IntegerSet set, ValueRange operands={})
Creates an affine constraint system from an IntegerSet. More...

Kind getKind () const override
Return the kind of this FlatAffineConstraints. More...

void reset (unsigned numReservedInequalities, unsigned numReservedEqualities, unsigned numReservedCols, unsigned numDims, unsigned numSymbols, unsigned numLocals=0)
Clears any existing data and reserves memory for the specified constraints. More...

void reset (unsigned numDims=0, unsigned numSymbols=0, unsigned numLocals=0)

void reset (unsigned numReservedInequalities, unsigned numReservedEqualities, unsigned numReservedCols, unsigned numDims, unsigned numSymbols, unsigned numLocals, ArrayRef< Value > valArgs)

void reset (unsigned numDims, unsigned numSymbols, unsigned numLocals, ArrayRef< Value > valArgs)

std::unique_ptr< FlatAffineValueConstraintsclone () const
Clones this object. More...

Adds constraints (lower and upper bounds) for the specified 'affine.for' operation's Value using IR information stored in its bound maps. More...

Add constraints (lower and upper bounds) for the specified 'affine.parallel' operation's Value using IR information stored in its bound maps. More...

LogicalResult addDomainFromSliceMaps (ArrayRef< AffineMap > lbMaps, ArrayRef< AffineMap > ubMaps, ArrayRef< Value > operands)
Adds constraints (lower and upper bounds) for each loop in the loop nest described by the bound maps lbMaps and ubMaps of a computation slice. More...

Adds constraints imposed by the affine.if operation. More...

LogicalResult addBound (BoundType type, unsigned pos, AffineMap boundMap, bool isClosedBound)
Adds a bound for the variable at the specified position with constraints being drawn from the specified bound map. More...

LogicalResult addBound (BoundType type, unsigned pos, AffineMap boundMap)
Adds a bound for the variable at the specified position with constraints being drawn from the specified bound map. More...

LogicalResult addBound (BoundType type, unsigned pos, AffineMap boundMap, ValueRange operands)
Adds a bound for the variable at the specified position with constraints being drawn from the specified bound map and operands. More...

void addBound (BoundType type, Value val, int64_t value)
Adds a constant bound for the variable associated with the given Value. More...

IntegerSet getAsIntegerSet (MLIRContext *context) const
Returns the constraint system as an integer set. More...

void getSliceBounds (unsigned offset, unsigned num, MLIRContext *context, SmallVectorImpl< AffineMap > *lbMaps, SmallVectorImpl< AffineMap > *ubMaps, bool getClosedUB=false)
Computes the lower and upper bounds of the first num dimensional variables (starting at offset) as an affine map of the remaining variables (dimensional and symbolic). More...

LogicalResult composeMatchingMap (AffineMap other)
Composes an affine map whose dimensions and symbols match one to one with the dimensions and symbols of this FlatAffineConstraints. More...

std::pair< AffineMap, AffineMapgetLowerAndUpperBound (unsigned pos, unsigned offset, unsigned num, unsigned symStartPos, ArrayRef< AffineExpr > localExprs, MLIRContext *context) const
Gets the lower and upper bound of the offset + posth variable treating [0, offset) U [offset + num, symStartPos) as dimensions and [symStartPos, getNumDimAndSymbolVars) as symbols, and pos lies in [0, num). More...

void getIneqAsAffineValueMap (unsigned pos, unsigned ineqPos, AffineValueMap &vmap, MLIRContext *context) const
Returns the bound for the variable at pos from the inequality at ineqPos as a 1-d affine value map (affine map + operands). More...

LogicalResult addSliceBounds (ArrayRef< Value > values, ArrayRef< AffineMap > lbMaps, ArrayRef< AffineMap > ubMaps, ArrayRef< Value > operands)
Adds slice lower bounds represented by lower bounds in lbMaps and upper bounds in ubMaps to each variable in the constraint system which has a value in values. More...

bool findVar (Value val, unsigned *pos) const
Looks up the position of the variable with the specified Value. More...

bool containsVar (Value val) const
Returns true if an variable with the specified Value exists, false otherwise. More...

void swapVar (unsigned posA, unsigned posB) override
Swap the posA^th variable with the posB^th variable. More...

unsigned insertDimVar (unsigned pos, unsigned num=1)
Insert variables of the specified kind at position pos. More...

unsigned insertSymbolVar (unsigned pos, unsigned num=1)

unsigned insertLocalVar (unsigned pos, unsigned num=1)

unsigned insertDimVar (unsigned pos, ValueRange vals)

unsigned insertSymbolVar (unsigned pos, ValueRange vals)

unsigned insertVar (presburger::VarKind kind, unsigned pos, unsigned num=1) override
Insert num variables of the specified kind at position pos. More...

unsigned insertVar (presburger::VarKind kind, unsigned pos, ValueRange vals)

unsigned appendDimVar (ValueRange vals)
Append variables of the specified kind after the last variable of that kind. More...

unsigned appendSymbolVar (ValueRange vals)

unsigned appendDimVar (unsigned num=1)

unsigned appendSymbolVar (unsigned num=1)

unsigned appendLocalVar (unsigned num=1)

void removeVarRange (presburger::VarKind kind, unsigned varStart, unsigned varLimit) override
Removes variables in the column range [varStart, varLimit), and copies any remaining valid data into place, updates member variables, and resizes arrays as needed. More...

Add the specified values as a dim or symbol var depending on its nature, if it already doesn't exist in the system. More...

AffineMap computeAlignedMap (AffineMap map, ValueRange operands) const
Align map with this constraint system based on operands. More...

LogicalResult composeMap (const AffineValueMap *vMap)
Composes the affine value map with this FlatAffineValueConstrains, adding the results of the map as dimensions at the front [0, vMap->getNumResults()) and with the dimensions set to the equalities specified by the value map. More...

void projectOut (Value val)
Projects out the variable that is associate with Value. More...

void convertLoopIVSymbolsToDims ()
Changes all symbol variables which are loop IVs to dim variables. More...

LogicalResult unionBoundingBox (const FlatAffineValueConstraints &other)
Updates the constraints to be the smallest bounding (enclosing) box that contains the points of this set and that of other, with the symbols being treated specially. More...

void mergeAndAlignVarsWithOther (unsigned offset, FlatAffineValueConstraints *other)
Merge and align the variables of this and other starting at offset, so that both constraint systems get the union of the contained variables that is dimension-wise and symbol-wise unique; both constraint systems are updated so that they have the union of all variables, with this's original variables appearing first followed by any of other's variables that didn't appear in this. More...

bool areVarsAlignedWithOther (const FlatAffineValueConstraints &other)
Returns true if this constraint system and other are in the same space, i.e., if they are associated with the same set of variables, appearing in the same order. More...

void clearAndCopyFrom (const IntegerRelation &other) override
Replaces the contents of this FlatAffineValueConstraints with other. More...

Value getValue (unsigned pos) const
Returns the Value associated with the pos^th variable. More...

bool hasValue (unsigned pos) const
Returns true if the pos^th variable has an associated Value. More...

bool hasValues () const
Returns true if at least one variable has an associated Value. More...

void getValues (unsigned start, unsigned end, SmallVectorImpl< Value > *values) const
Returns the Values associated with variables in range [start, end). More...

void getAllValues (SmallVectorImpl< Value > *values) const

ArrayRef< std::optional< Value > > getMaybeValues () const

ArrayRef< std::optional< Value > > getMaybeValues (presburger::VarKind kind) const

void setValue (unsigned pos, Value val)
Sets the Value associated with the pos^th variable. More...

void setValues (unsigned start, unsigned end, ArrayRef< Value > values)
Sets the Values associated with the variables in the range [start, end). More...

void mergeSymbolVars (FlatAffineValueConstraints &other)
Merge and align symbols of this and other such that both get union of of symbols that are unique. More...

Public Member Functions inherited from mlir::presburger::IntegerPolyhedron
IntegerPolyhedron (unsigned numReservedInequalities, unsigned numReservedEqualities, unsigned numReservedCols, const PresburgerSpace &space)
Constructs a set reserving memory for the specified number of constraints and variables. More...

IntegerPolyhedron (const PresburgerSpace &space)
Constructs a relation with the specified number of dimensions and symbols. More...

IntegerPolyhedron (const IntegerRelation &rel)
Construct a set from an IntegerRelation. More...

IntegerPolyhedron (IntegerRelation &&rel)
Construct a set from an IntegerRelation, but instead of creating a copy, use move constructor. More...

std::unique_ptr< IntegerPolyhedronclone () const

IntegerPolyhedron intersect (const IntegerPolyhedron &other) const
Return the intersection of the two relations. More...

PresburgerSet subtract (const PresburgerSet &other) const
Return the set difference of this set and the given set, i.e., return this \ set. More...

Public Member Functions inherited from mlir::presburger::IntegerRelation
IntegerRelation (unsigned numReservedInequalities, unsigned numReservedEqualities, unsigned numReservedCols, const PresburgerSpace &space)
Constructs a relation reserving memory for the specified number of constraints and variables. More...

IntegerRelation (const PresburgerSpace &space)
Constructs a relation with the specified number of dimensions and symbols. More...

virtual ~IntegerRelation ()=default

std::unique_ptr< IntegerRelationclone () const

const PresburgerSpacegetSpace () const
Returns a reference to the underlying space. More...

void setSpace (const PresburgerSpace &oSpace)
Set the space to oSpace, which should have the same number of ids as the current space. More...

void setSpaceExceptLocals (const PresburgerSpace &oSpace)
Set the space to oSpace, which should not have any local ids. More...

PresburgerSpace getSpaceWithoutLocals () const
Returns a copy of the space without locals. More...

void append (const IntegerRelation &other)
Appends constraints from other into this. More...

IntegerRelation intersect (IntegerRelation other) const
Return the intersection of the two relations. More...

bool isEqual (const IntegerRelation &other) const
Return whether this and other are equal. More...

bool isSubsetOf (const IntegerRelation &other) const
Return whether this is a subset of the given IntegerRelation. More...

MPInt atEq (unsigned i, unsigned j) const
Returns the value at the specified equality row and column. More...

int64_t atEq64 (unsigned i, unsigned j) const
The same, but casts to int64_t. More...

MPIntatEq (unsigned i, unsigned j)

MPInt atIneq (unsigned i, unsigned j) const
Returns the value at the specified inequality row and column. More...

int64_t atIneq64 (unsigned i, unsigned j) const
The same, but casts to int64_t. More...

MPIntatIneq (unsigned i, unsigned j)

unsigned getNumConstraints () const

unsigned getNumDomainVars () const

unsigned getNumRangeVars () const

unsigned getNumSymbolVars () const

unsigned getNumLocalVars () const

unsigned getNumDimVars () const

unsigned getNumDimAndSymbolVars () const

unsigned getNumVars () const

unsigned getNumCols () const
Returns the number of columns in the constraint system. More...

unsigned getNumEqualities () const

unsigned getNumInequalities () const

unsigned getNumReservedEqualities () const

unsigned getNumReservedInequalities () const

ArrayRef< MPIntgetEquality (unsigned idx) const

ArrayRef< MPIntgetInequality (unsigned idx) const

SmallVector< int64_t, 8 > getEquality64 (unsigned idx) const
The same, but casts to int64_t. More...

SmallVector< int64_t, 8 > getInequality64 (unsigned idx) const

unsigned getNumVarKind (VarKind kind) const
Get the number of vars of the specified kind. More...

unsigned getVarKindOffset (VarKind kind) const
Return the index at which the specified kind of vars starts. More...

unsigned getVarKindEnd (VarKind kind) const
Return the index at Which the specified kind of vars ends. More...

unsigned getVarKindOverlap (VarKind kind, unsigned varStart, unsigned varLimit) const
Get the number of elements of the specified kind in the range [varStart, varLimit). More...

VarKind getVarKindAt (unsigned pos) const
Return the VarKind of the var at the specified position. More...

CountsSnapshot getCounts () const

void truncate (const CountsSnapshot &counts)

unsigned appendVar (VarKind kind, unsigned num=1)
Append num variables of the specified kind after the last variable of that kind. More...

void addInequality (ArrayRef< MPInt > inEq)
Adds an inequality (>= 0) from the coefficients specified in inEq. More...

void addInequality (ArrayRef< int64_t > inEq)

void addEquality (ArrayRef< MPInt > eq)
Adds an equality from the coefficients specified in eq. More...

void addEquality (ArrayRef< int64_t > eq)

virtual void eliminateRedundantLocalVar (unsigned posA, unsigned posB)
Eliminate the posB^th local variable, replacing every instance of it with the posA^th local variable. More...

void removeVar (VarKind kind, unsigned pos)
Removes variables of the specified kind with the specified pos (or within the specified range) from the system. More...

void removeVar (unsigned pos)
Removes the specified variable from the system. More...

void removeEquality (unsigned pos)

void removeInequality (unsigned pos)

void removeEqualityRange (unsigned start, unsigned end)
Remove the (in)equalities at positions [start, end). More...

void removeInequalityRange (unsigned start, unsigned end)

MaybeOptimum< SmallVector< Fraction, 8 > > findRationalLexMin () const
Get the lexicographically minimum rational point satisfying the constraints. More...

MaybeOptimum< SmallVector< MPInt, 8 > > findIntegerLexMin () const
Same as above, but returns lexicographically minimal integer point. More...

void clearConstraints ()
Removes all equalities and inequalities. More...

void setAndEliminate (unsigned pos, ArrayRef< MPInt > values)
Sets the values.size() variables starting at pos to the specified values and removes them. More...

void setAndEliminate (unsigned pos, ArrayRef< int64_t > values)

virtual void clearAndCopyFrom (const IntegerRelation &other)
Replaces the contents of this IntegerRelation with other. More...

void getLowerAndUpperBoundIndices (unsigned pos, SmallVectorImpl< unsigned > *lbIndices, SmallVectorImpl< unsigned > *ubIndices, SmallVectorImpl< unsigned > *eqIndices=nullptr, unsigned offset=0, unsigned num=0) const
Gather positions of all lower and upper bounds of the variable at pos, and optionally any equalities on it. More...

bool isEmpty () const
Checks for emptiness by performing variable elimination on all variables, running the GCD test on each equality constraint, and checking for invalid constraints. More...

bool isEmptyByGCDTest () const
Runs the GCD test on all equality constraints. More...

bool isIntegerEmpty () const
Returns true if the set of constraints is found to have no solution, false if a solution exists. More...

Matrix getBoundedDirections () const
Returns a matrix where each row is a vector along which the polytope is bounded. More...

std::optional< SmallVector< MPInt, 8 > > findIntegerSample () const
Find an integer sample point satisfying the constraints using a branch and bound algorithm with generalized basis reduction, with some additional processing using Simplex for unbounded sets. More...

std::optional< MPIntcomputeVolume () const
Compute an overapproximation of the number of integer points in the relation. More...

bool containsPoint (ArrayRef< MPInt > point) const
Returns true if the given point satisfies the constraints, or false otherwise. More...

bool containsPoint (ArrayRef< int64_t > point) const

std::optional< SmallVector< MPInt, 8 > > containsPointNoLocal (ArrayRef< MPInt > point) const
Given the values of non-local vars, return a satisfying assignment to the local if one exists, or an empty optional otherwise. More...

std::optional< SmallVector< MPInt, 8 > > containsPointNoLocal (ArrayRef< int64_t > point) const

DivisionRepr getLocalReprs (std::vector< MaybeLocalRepr > *repr=nullptr) const
Returns a DivisonRepr representing the division representation of local variables in the constraint system. More...

void addBound (BoundType type, unsigned pos, const MPInt &value)
Adds a constant bound for the specified variable. More...

void addBound (BoundType type, unsigned pos, int64_t value)

void addBound (BoundType type, ArrayRef< MPInt > expr, const MPInt &value)
Adds a constant bound for the specified expression. More...

void addBound (BoundType type, ArrayRef< int64_t > expr, int64_t value)

void addLocalFloorDiv (ArrayRef< MPInt > dividend, const MPInt &divisor)
Adds a new local variable as the floordiv of an affine function of other variables, the coefficients of which are provided in dividend and with respect to a positive constant divisor. More...

void addLocalFloorDiv (ArrayRef< int64_t > dividend, int64_t divisor)

void projectOut (unsigned pos, unsigned num)
Projects out (aka eliminates) num variables starting at position pos. More...

void projectOut (unsigned pos)

LogicalResult constantFoldVar (unsigned pos)
Tries to fold the specified variable to a constant using a trivial equality detection; if successful, the constant is substituted for the variable everywhere in the constraint system and then removed from the system. More...

void constantFoldVarRange (unsigned pos, unsigned num)
This method calls constantFoldVar for the specified range of variables, num variables starting at position pos. More...

LogicalResult unionBoundingBox (const IntegerRelation &other)
Updates the constraints to be the smallest bounding (enclosing) box that contains the points of this set and that of other, with the symbols being treated specially. More...

std::optional< MPIntgetConstantBoundOnDimSize (unsigned pos, SmallVectorImpl< MPInt > *lb=nullptr, MPInt *boundFloorDivisor=nullptr, SmallVectorImpl< MPInt > *ub=nullptr, unsigned *minLbPos=nullptr, unsigned *minUbPos=nullptr) const
Returns the smallest known constant bound for the extent of the specified variable (pos^th), i.e., the smallest known constant that is greater than or equal to 'exclusive upper bound' - 'lower bound' of the variable. More...

std::optional< int64_t > getConstantBoundOnDimSize64 (unsigned pos, SmallVectorImpl< int64_t > *lb=nullptr, int64_t *boundFloorDivisor=nullptr, SmallVectorImpl< int64_t > *ub=nullptr, unsigned *minLbPos=nullptr, unsigned *minUbPos=nullptr) const
The same, but casts to int64_t. More...

std::optional< MPIntgetConstantBound (BoundType type, unsigned pos) const
Returns the constant bound for the pos^th variable if there is one; std::nullopt otherwise. More...

std::optional< int64_t > getConstantBound64 (BoundType type, unsigned pos) const
The same, but casts to int64_t. More...

void removeIndependentConstraints (unsigned pos, unsigned num)
Removes constraints that are independent of (i.e., do not have a coefficient) variables in the range [pos, pos + num). More...

bool isHyperRectangular (unsigned pos, unsigned num) const
Returns true if the set can be trivially detected as being hyper-rectangular on the specified contiguous set of variables. More...

void removeTrivialRedundancy ()
Removes duplicate constraints, trivially true constraints, and constraints that can be detected as redundant as a result of differing only in their constant term part. More...

void removeRedundantInequalities ()
A more expensive check than removeTrivialRedundancy to detect redundant inequalities. More...

void removeRedundantConstraints ()
Removes redundant constraints using Simplex. More...

void removeDuplicateDivs ()

void convertVarKind (VarKind srcKind, unsigned varStart, unsigned varLimit, VarKind dstKind, unsigned pos)
Converts variables of kind srcKind in the range [varStart, varLimit) to variables of kind dstKind. More...

void convertVarKind (VarKind srcKind, unsigned varStart, unsigned varLimit, VarKind dstKind)

void convertToLocal (VarKind kind, unsigned varStart, unsigned varLimit)

unsigned mergeLocalVars (IntegerRelation &other)
Adds additional local vars to the sets such that they both have the union of the local vars in each set, without changing the set of points that lie in this and other. More...

bool hasOnlyDivLocals () const
Check whether all local ids have a division representation. More...

void setDimSymbolSeparation (unsigned newSymbolCount)
Changes the partition between dimensions and symbols. More...

IntegerPolyhedron getDomainSet () const
Return a set corresponding to all points in the domain of the relation. More...

IntegerPolyhedron getRangeSet () const
Return a set corresponding to all points in the range of the relation. More...

void intersectDomain (const IntegerPolyhedron &poly)
Intersect the given poly with the domain in-place. More...

void intersectRange (const IntegerPolyhedron &poly)
Intersect the given poly with the range in-place. More...

void inverse ()
Invert the relation i.e., swap its domain and range. More...

void compose (const IntegerRelation &rel)
Let the relation this be R1, and the relation rel be R2. More...

void applyDomain (const IntegerRelation &rel)
Given a relation rel, apply the relation to the domain of this relation. More...

void applyRange (const IntegerRelation &rel)
Given a relation rel, apply the relation to the range of this relation. More...

PresburgerRelation computeReprWithOnlyDivLocals () const
Compute an equivalent representation of the same set, such that all local vars in all disjuncts have division representations. More...

SymbolicLexMin findSymbolicIntegerLexMin () const
Compute the symbolic integer lexmin of the relation. More...

PresburgerRelation subtract (const PresburgerRelation &set) const
Return the set difference of this set and the given set, i.e., return this \ set. More...

void print (raw_ostream &os) const

void dump () const

## Static Public Member Functions

static FlatAffineValueConstraints getHyperrectangular (ValueRange ivs, ValueRange lbs, ValueRange ubs)

static bool classof (const IntegerRelation *cst)

Static Public Member Functions inherited from mlir::presburger::IntegerPolyhedron
static IntegerPolyhedron getUniverse (const PresburgerSpace &space)
Return a system with no constraints, i.e., one which is satisfied by all points. More...

static bool classof (const IntegerRelation *cst)

Static Public Member Functions inherited from mlir::presburger::IntegerRelation
static IntegerRelation getUniverse (const PresburgerSpace &space)
Return a system with no constraints, i.e., one which is satisfied by all points. More...

static bool classof (const IntegerRelation *cst)

## Protected Types

using VarKind = presburger::VarKind

## Protected Member Functions

bool hasConsistentState () const override
Returns false if the fields corresponding to various variable counts, or equality/inequality buffer sizes aren't consistent; true otherwise. More...

LogicalResult flattenAlignedMapAndMergeLocals (AffineMap map, std::vector< SmallVector< int64_t, 8 >> *flattenedExprs)
Given an affine map that is aligned with this constraint system: More...

void fourierMotzkinEliminate (unsigned pos, bool darkShadow=false, bool *isResultIntegerExact=nullptr) override
Eliminates the variable at the specified position using Fourier-Motzkin variable elimination, but uses Gaussian elimination if there is an equality involving that variable. More...

void printSpace (raw_ostream &os) const override
Prints the number of constraints, dimensions, symbols and locals in the FlatAffineConstraints. More...

Protected Member Functions inherited from mlir::presburger::IntegerRelation
bool hasInvalidConstraint () const
Checks all rows of equality/inequality constraints for trivial contradictions (for example: 1 == 0, 0 >= 1), which may have surfaced after elimination. More...

template<bool isLower>
std::optional< MPIntcomputeConstantLowerOrUpperBound (unsigned pos)
Returns the constant lower bound bound if isLower is true, and the upper bound if isLower is false. More...

template<bool isLower>
std::optional< int64_t > computeConstantLowerOrUpperBound64 (unsigned pos)
The same, but casts to int64_t. More...

LogicalResult gaussianEliminateVar (unsigned position)
Eliminates a single variable at position from equality and inequality constraints. More...

void removeRedundantLocalVars ()
Removes local variables using equalities. More...

unsigned gaussianEliminateVars (unsigned posStart, unsigned posLimit)
Eliminates variables from equality and inequality constraints in column range [posStart, posLimit). More...

void gcdTightenInequalities ()
Tightens inequalities given that we are dealing with integer spaces. More...

void normalizeConstraintsByGCD ()
Normalized each constraints by the GCD of its coefficients. More...

bool findConstraintWithNonZeroAt (unsigned colIdx, bool isEq, unsigned *rowIdx) const
Searches for a constraint with a non-zero coefficient at colIdx in equality (isEq=true) or inequality (isEq=false) constraints. More...

bool isColZero (unsigned pos) const
Returns true if the pos^th column is all zero for both inequalities and equalities. More...

void removeVarRange (unsigned varStart, unsigned varLimit)
Removes variables in the column range [varStart, varLimit), and copies any remaining valid data into place, updates member variables, and resizes arrays as needed. More...

void truncateVarKind (VarKind kind, unsigned num)
Truncate the vars of the specified kind to the specified number by dropping some vars at the end. More...

void truncateVarKind (VarKind kind, const CountsSnapshot &counts)
Truncate the vars to the number in the space of the specified CountsSnapshot. More...

## Protected Attributes

SmallVector< std::optional< Value >, 8 > values
Values corresponding to the (column) non-local variables of this constraint system appearing in the order the variables correspond to columns. More...

Protected Attributes inherited from mlir::presburger::IntegerRelation
PresburgerSpace space

Matrix equalities
Coefficients of affine equalities (in == 0 form). More...

Matrix inequalities
Coefficients of affine inequalities (in >= 0 form). More...

Public Types inherited from mlir::presburger::IntegerRelation
enum class  Kind { FlatAffineConstraints , FlatAffineValueConstraints , IntegerRelation , IntegerPolyhedron }
All derived classes of IntegerRelation. More...

enum  BoundType { EQ , LB , UB }
The type of bound: equal, lower bound or upper bound. More...

Static Protected Attributes inherited from mlir::presburger::IntegerRelation
constexpr static unsigned kExplosionFactor = 32
A parameter that controls detection of an unrealistic number of constraints. More...

## Detailed Description

FlatAffineValueConstraints represents an extension of IntegerPolyhedron where each non-local variable can have an SSA Value attached to it.

Definition at line 43 of file AffineStructures.h.

## ◆ VarKind

 protected

Definition at line 475 of file AffineStructures.h.

## ◆ FlatAffineValueConstraints() [1/6]

 mlir::FlatAffineValueConstraints::FlatAffineValueConstraints ( unsigned numReservedInequalities, unsigned numReservedEqualities, unsigned numReservedCols, unsigned numDims, unsigned numSymbols, unsigned numLocals, ArrayRef< std::optional< Value >> valArgs = {} )
inline

Constructs a constraint system reserving memory for the specified number of constraints and variables.

Definition at line 47 of file AffineStructures.h.

Referenced by getSliceBounds(), and reset().

## ◆ FlatAffineValueConstraints() [2/6]

 mlir::FlatAffineValueConstraints::FlatAffineValueConstraints ( unsigned numDims = 0, unsigned numSymbols = 0, unsigned numLocals = 0, ArrayRef< std::optional< Value >> valArgs = {} )
inline

Constructs a constraint system with the specified number of dimensions and symbols.

Definition at line 67 of file AffineStructures.h.

## ◆ FlatAffineValueConstraints() [3/6]

 mlir::FlatAffineValueConstraints::FlatAffineValueConstraints ( const IntegerPolyhedron & fac, ArrayRef< std::optional< Value >> valArgs = {} )
inline

Definition at line 76 of file AffineStructures.h.

## ◆ FlatAffineValueConstraints() [4/6]

 mlir::FlatAffineValueConstraints::FlatAffineValueConstraints ( const AffineValueMap & avm )
explicit

Create a flat affine constraint system from an AffineValueMap or a list of these.

The constructed system will only include equalities.

## ◆ FlatAffineValueConstraints() [5/6]

 mlir::FlatAffineValueConstraints::FlatAffineValueConstraints ( ArrayRef< const AffineValueMap * > avmRef )
explicit

## ◆ FlatAffineValueConstraints() [6/6]

 FlatAffineValueConstraints::FlatAffineValueConstraints ( IntegerSet set, ValueRange operands = {} )
explicit

## Member Function Documentation

 LogicalResult FlatAffineValueConstraints::addAffineForOpDomain ( AffineForOp forOp )

Adds constraints (lower and upper bounds) for the specified 'affine.for' operation's Value using IR information stored in its bound maps.

The right variable is first looked up using forOp's Value. Asserts if the Value corresponding to the 'affine.for' operation isn't found in the constraint system. Returns failure for the yet unimplemented/unsupported cases. Any new variables that are found in the bound operands of the 'affine.for' operation are added as trailing variables (either dimensional or symbolic depending on whether the operand is a valid symbol).

Definition at line 597 of file AffineStructures.cpp.

 void FlatAffineValueConstraints::addAffineIfOpDomain ( AffineIfOp ifOp )

Adds constraints imposed by the affine.if operation.

These constraints are collected from the IntegerSet attached to the given affine.if instance argument (ifOp). It is asserted that: 1) The IntegerSet of the given affine.if instance should not contain semi-affine expressions, 2) The columns of the constraint system created from ifOp should match the columns in the current one regarding numbers and values.

Definition at line 725 of file AffineStructures.cpp.

Referenced by mlir::getIndexSet().

 LogicalResult FlatAffineValueConstraints::addAffineParallelOpDomain ( AffineParallelOp parallelOp )

Add constraints (lower and upper bounds) for the specified 'affine.parallel' operation's Value using IR information stored in its bound maps.

Returns failure for the yet unimplemented/unsupported cases. Asserts if the Value corresponding to the 'affine.parallel' operation isn't found in the constraint system.

Definition at line 648 of file AffineStructures.cpp.

Referenced by mlir::getIndexSet().

 LogicalResult FlatAffineValueConstraints::addBound ( BoundType type, unsigned pos, AffineMap boundMap )

Adds a bound for the variable at the specified position with constraints being drawn from the specified bound map.

In case of an EQ bound, the bound map is expected to have exactly one result. In case of a LB/UB, the bound map may have more than one result, for each of which an inequality is added. Note: The dimensions/symbols of this FlatAffineConstraints must match the dimensions/symbols of the affine map. By default the lower bound is closed and the upper bound is open.

Definition at line 1255 of file AffineStructures.cpp.

 LogicalResult FlatAffineValueConstraints::addBound ( BoundType type, unsigned pos, AffineMap boundMap, bool isClosedBound )

Adds a bound for the variable at the specified position with constraints being drawn from the specified bound map.

In case of an EQ bound, the bound map is expected to have exactly one result. In case of a LB/UB, the bound map may have more than one result, for each of which an inequality is added.

The bound can be added as open or closed by specifying isClosedBound. In case of a LB/UB, isClosedBound = false means the bound is added internally as a closed bound by +1/-1 respectively. In case of an EQ bound, it can only be added as a closed bound.

Note: The dimensions/symbols of this FlatAffineConstraints must match the dimensions/symbols of the affine map.

Definition at line 1203 of file AffineStructures.cpp.

 LogicalResult FlatAffineValueConstraints::addBound ( BoundType type, unsigned pos, AffineMap boundMap, ValueRange operands )

Adds a bound for the variable at the specified position with constraints being drawn from the specified bound map and operands.

In case of an EQ bound, the bound map is expected to have exactly one result. In case of a LB/UB, the bound map may have more than one result, for each of which an inequality is added.

Definition at line 1293 of file AffineStructures.cpp.

 void FlatAffineValueConstraints::addBound ( BoundType type, Value val, int64_t value )

Adds a constant bound for the variable associated with the given Value.

Definition at line 1394 of file AffineStructures.cpp.

 LogicalResult FlatAffineValueConstraints::addDomainFromSliceMaps ( ArrayRef< AffineMap > lbMaps, ArrayRef< AffineMap > ubMaps, ArrayRef< Value > operands )

Adds constraints (lower and upper bounds) for each loop in the loop nest described by the bound maps lbMaps and ubMaps of a computation slice.

Every pair (lbMaps[i], ubMaps[i]) describes the bounds of a loop in the nest, sorted outer-to-inner. operands contains the bound operands for a single bound map. All the bound maps will use the same bound operands. Note that some loops described by a computation slice might not exist yet in the IR so the Value attached to those dimension variables might be empty. For that reason, this method doesn't perform Value look-ups to retrieve the dimension variable positions. Instead, it assumes the position of the dim variables in the constraint system is the same as the position of the loop in the loop nest.

Definition at line 676 of file AffineStructures.cpp.

Referenced by mlir::ComputationSliceState::isMaximal().

 void FlatAffineValueConstraints::addInductionVarOrTerminalSymbol ( Value val )

Add the specified values as a dim or symbol var depending on its nature, if it already doesn't exist in the system.

val has to be either a terminal symbol or a loop IV, i.e., it cannot be the result affine.apply of any symbols or loop IVs. The variable is added to the end of the existing dims or symbols. Additional information on the variable is extracted from the IR and added to the constraint system.

Definition at line 574 of file AffineStructures.cpp.

 LogicalResult FlatAffineValueConstraints::addSliceBounds ( ArrayRef< Value > values, ArrayRef< AffineMap > lbMaps, ArrayRef< AffineMap > ubMaps, ArrayRef< Value > operands )

Adds slice lower bounds represented by lower bounds in lbMaps and upper bounds in ubMaps to each variable in the constraint system which has a value in values.

Note that both lower/upper bounds share the same operand list operands. This function assumes values.size == lbMaps.size == ubMaps.size. Note that both lower/upper bounds use operands from operands.

Definition at line 1317 of file AffineStructures.cpp.

Referenced by mlir::ComputationSliceState::getAsConstraints().

## ◆ appendDimVar() [1/2]

 unsigned mlir::FlatAffineValueConstraints::appendDimVar ( unsigned num = 1 )
inline

Definition at line 317 of file AffineStructures.h.

## ◆ appendDimVar() [2/2]

 unsigned FlatAffineValueConstraints::appendDimVar ( ValueRange vals )

Append variables of the specified kind after the last variable of that kind.

The coefficient columns corresponding to the added variables are initialized to zero. vals are the Values corresponding to the variables. Return the absolute column position (i.e., not relative to the kind of variable) of the first appended variable.

Note: Empty Values are allowed in vals.

Definition at line 278 of file AffineStructures.cpp.

References mlir::presburger::IntegerRelation::getNumDimVars(), and insertVar().

## ◆ appendLocalVar()

 unsigned mlir::FlatAffineValueConstraints::appendLocalVar ( unsigned num = 1 )
inline

Definition at line 323 of file AffineStructures.h.

Referenced by flattenAlignedMapAndMergeLocals().

## ◆ appendSymbolVar() [1/2]

 unsigned mlir::FlatAffineValueConstraints::appendSymbolVar ( unsigned num = 1 )
inline

Definition at line 320 of file AffineStructures.h.

## ◆ appendSymbolVar() [2/2]

 unsigned FlatAffineValueConstraints::appendSymbolVar ( ValueRange vals )

## ◆ areVarsAlignedWithOther()

 bool FlatAffineValueConstraints::areVarsAlignedWithOther ( const FlatAffineValueConstraints & other )

Returns true if this constraint system and other are in the same space, i.e., if they are associated with the same set of variables, appearing in the same order.

Calls areVarsAligned to check if two constraint systems have the same set of variables in the same order.

Returns false otherwise.

Definition at line 344 of file AffineStructures.cpp.

References areVarsAligned().

Referenced by mlir::computeSliceUnion().

## ◆ classof()

 static bool mlir::FlatAffineValueConstraints::classof ( const IntegerRelation * cst )
inlinestatic

Definition at line 111 of file AffineStructures.h.

## ◆ clearAndCopyFrom()

 void FlatAffineValueConstraints::clearAndCopyFrom ( const IntegerRelation & other )
override

Replaces the contents of this FlatAffineValueConstraints with other.

Definition at line 1419 of file AffineStructures.cpp.

Referenced by getFlattenedAffineExprs().

## ◆ clone()

 std::unique_ptr< FlatAffineValueConstraints > FlatAffineValueConstraints::clone ( ) const

Clones this object.

Definition at line 148 of file AffineStructures.cpp.

## ◆ composeMap()

 LogicalResult FlatAffineValueConstraints::composeMap ( const AffineValueMap * vMap )

Composes the affine value map with this FlatAffineValueConstrains, adding the results of the map as dimensions at the front [0, vMap->getNumResults()) and with the dimensions set to the equalities specified by the value map.

Returns failure if the composition fails (when vMap is a semi-affine map). The vMap's operand Value's are used to look up the right positions in the FlatAffineConstraints with which to associate. Every operand of vMap should have a matching dim/symbol column in this constraint system (with the same associated Value).

Definition at line 455 of file AffineStructures.cpp.

## ◆ composeMatchingMap()

 LogicalResult FlatAffineValueConstraints::composeMatchingMap ( AffineMap other )

Composes an affine map whose dimensions and symbols match one to one with the dimensions and symbols of this FlatAffineConstraints.

The results of the map other are added as the leading dimensions of this constraint system. Returns failure if other is a semi-affine map.

Definition at line 463 of file AffineStructures.cpp.

Referenced by composeMap(), and mlir::normalizeMemRefType().

## ◆ computeAlignedMap()

 AffineMap FlatAffineValueConstraints::computeAlignedMap ( AffineMap map, ValueRange operands ) const

Align map with this constraint system based on operands.

Each operand must already have a corresponding dim/symbol in this constraint system.

Definition at line 1261 of file AffineStructures.cpp.

Referenced by addBound(), composeMap(), and mlir::linalg::getUpperBoundForIndex().

## ◆ containsVar()

 bool FlatAffineValueConstraints::containsVar ( Value val ) const

Returns true if an variable with the specified Value exists, false otherwise.

Definition at line 1372 of file AffineStructures.cpp.

References values.

## ◆ convertLoopIVSymbolsToDims()

 void FlatAffineValueConstraints::convertLoopIVSymbolsToDims ( )

Changes all symbol variables which are loop IVs to dim variables.

Definition at line 561 of file AffineStructures.cpp.

Referenced by mlir::computeSliceUnion().

## ◆ findVar()

 bool FlatAffineValueConstraints::findVar ( Value val, unsigned * pos ) const

Looks up the position of the variable with the specified Value.

Returns true if found (false otherwise). pos is set to the (column) position of the variable.

Definition at line 1360 of file AffineStructures.cpp.

References values.

## ◆ flattenAlignedMapAndMergeLocals()

 LogicalResult FlatAffineValueConstraints::flattenAlignedMapAndMergeLocals ( AffineMap map, std::vector< SmallVector< int64_t, 8 >> * flattenedExprs )
protected

Given an affine map that is aligned with this constraint system:

• Flatten the map.
• Add newly introduced local columns at the beginning of this constraint system (local column pos 0).
• Add equalities that define the new local columns to this constraint system.
• Return the flattened expressions via flattenedExprs.

Note: This is a shared helper function of addLowerOrUpperBound and composeMatchingMap.

Definition at line 1179 of file AffineStructures.cpp.

## ◆ fourierMotzkinEliminate()

 void FlatAffineValueConstraints::fourierMotzkinEliminate ( unsigned pos, bool darkShadow = false, bool * isResultIntegerExact = nullptr )
overrideprotectedvirtual

Eliminates the variable at the specified position using Fourier-Motzkin variable elimination, but uses Gaussian elimination if there is an equality involving that variable.

If the result of the elimination is integer exact, *isResultIntegerExact is set to true. If darkShadow is set to true, a potential under approximation (subset) of the rational shadow / exact integer shadow is computed.

Reimplemented from mlir::presburger::IntegerRelation.

Definition at line 1432 of file AffineStructures.cpp.

Referenced by projectOut().

## ◆ getAllValues()

 void mlir::FlatAffineValueConstraints::getAllValues ( SmallVectorImpl< Value > * values ) const
inline

Definition at line 436 of file AffineStructures.h.

Referenced by mlir::linalg::getUpperBoundForIndex().

## ◆ getAsIntegerSet()

 IntegerSet FlatAffineValueConstraints::getAsIntegerSet ( MLIRContext * context ) const

Returns the constraint system as an integer set.

Returns a null integer set if the system has no constraints, or if an integer set couldn't be constructed as a result of a local variable's explicit representation not being known and such a local variable appearing in any of the constraints.

Definition at line 1551 of file AffineStructures.cpp.

Referenced by createSeparationCondition(), and mlir::simplifyIntegerSet().

## ◆ getHyperrectangular()

 FlatAffineValueConstraints FlatAffineValueConstraints::getHyperrectangular ( ValueRange ivs, ValueRange lbs, ValueRange ubs )
static

Definition at line 204 of file AffineStructures.cpp.

## ◆ getIneqAsAffineValueMap()

 void FlatAffineValueConstraints::getIneqAsAffineValueMap ( unsigned pos, unsigned ineqPos, AffineValueMap & vmap, MLIRContext * context ) const

Returns the bound for the variable at pos from the inequality at ineqPos as a 1-d affine value map (affine map + operands).

The returned affine value map can either be a lower bound or an upper bound depending on the sign of atIneq(ineqPos, pos). Asserts if the row at ineqPos does not involve the posth variable.

Definition at line 1505 of file AffineStructures.cpp.

Referenced by createFullTiles().

## ◆ getKind()

 Kind mlir::FlatAffineValueConstraints::getKind ( ) const
inlineoverridevirtual

Return the kind of this FlatAffineConstraints.

Reimplemented from mlir::presburger::IntegerPolyhedron.

Definition at line 109 of file AffineStructures.h.

## ◆ getLowerAndUpperBound()

 std::pair< AffineMap, AffineMap > FlatAffineValueConstraints::getLowerAndUpperBound ( unsigned pos, unsigned offset, unsigned num, unsigned symStartPos, ArrayRef< AffineExpr > localExprs, MLIRContext * context ) const

Gets the lower and upper bound of the offset + posth variable treating [0, offset) U [offset + num, symStartPos) as dimensions and [symStartPos, getNumDimAndSymbolVars) as symbols, and pos lies in [0, num).

The multi-dimensional maps in the returned pair represent the max and min of potentially multiple affine expressions. The upper bound is exclusive. localExprs holds pre-computed AffineExpr's for all local variables in the system.

Add to 'b' from 'a' in set [0, offset) U [offset + num, symbStartPos).

Definition at line 920 of file AffineStructures.cpp.

## ◆ getMaybeValues() [1/2]

 ArrayRef > mlir::FlatAffineValueConstraints::getMaybeValues ( ) const
inline

Definition at line 440 of file AffineStructures.h.

References values.

## ◆ getMaybeValues() [2/2]

 ArrayRef > mlir::FlatAffineValueConstraints::getMaybeValues ( presburger::VarKind kind ) const
inline

Definition at line 445 of file AffineStructures.h.

## ◆ getSliceBounds()

 void FlatAffineValueConstraints::getSliceBounds ( unsigned offset, unsigned num, MLIRContext * context, SmallVectorImpl< AffineMap > * lbMaps, SmallVectorImpl< AffineMap > * ubMaps, bool getClosedUB = false )

Computes the lower and upper bounds of the first num dimensional variables (starting at offset) as an affine map of the remaining variables (dimensional and symbolic).

Computes the lower and upper bounds of the first 'num' dimensional variables (starting at 'offset') as affine maps of the remaining variables (dimensional and symbolic variables).

This method is able to detect variables as floordiv's and mod's of affine expressions of other variables with respect to (positive) constants. Sets bound map to a null AffineMap if such a bound can't be found (or yet unimplemented).

By default the returned lower bounds are closed and upper bounds are open. This can be changed by getClosedUB.

Local variables are themselves explicitly computed as affine functions of other variables in this process if needed.

Definition at line 1008 of file AffineStructures.cpp.

## ◆ getValue()

 Value mlir::FlatAffineValueConstraints::getValue ( unsigned pos ) const
inline

Returns the Value associated with the pos^th variable.

Asserts if no Value variable was associated.

Definition at line 410 of file AffineStructures.h.

## ◆ getValues()

 void mlir::FlatAffineValueConstraints::getValues ( unsigned start, unsigned end, SmallVectorImpl< Value > * values ) const
inline

Returns the Values associated with variables in range [start, end).

Asserts if no Value was associated with one of these variables.

Definition at line 427 of file AffineStructures.h.

## ◆ hasConsistentState()

 bool FlatAffineValueConstraints::hasConsistentState ( ) const
overrideprotectedvirtual

Returns false if the fields corresponding to various variable counts, or equality/inequality buffer sizes aren't consistent; true otherwise.

This is meant to be used within an assert internally.

Reimplemented from mlir::presburger::IntegerRelation.

Definition at line 742 of file AffineStructures.cpp.

## ◆ hasValue()

 bool mlir::FlatAffineValueConstraints::hasValue ( unsigned pos ) const
inline

Returns true if the pos^th variable has an associated Value.

Definition at line 417 of file AffineStructures.h.

Referenced by convertLoopIVSymbolsToDims(), getValue(), and printSpace().

## ◆ hasValues()

 bool FlatAffineValueConstraints::hasValues ( ) const

Returns true if at least one variable has an associated Value.

Definition at line 327 of file AffineStructures.cpp.

References values.

## ◆ insertDimVar() [1/2]

 unsigned mlir::FlatAffineValueConstraints::insertDimVar ( unsigned pos, unsigned num = 1 )
inline

Insert variables of the specified kind at position pos.

Positions are relative to the kind of variable. The coefficient columns corresponding to the added variables are initialized to zero. vals are the Values corresponding to the variables. Values should not be used with VarKind::Local since values can only be attached to non-local variables. Return the absolute column position (i.e., not relative to the kind of variable) of the first added variable.

Note: Empty Values are allowed in vals.

Definition at line 293 of file AffineStructures.h.

References insertVar().

## ◆ insertDimVar() [2/2]

 unsigned FlatAffineValueConstraints::insertDimVar ( unsigned pos, ValueRange vals )

Definition at line 288 of file AffineStructures.cpp.

References insertVar().

## ◆ insertLocalVar()

 unsigned mlir::FlatAffineValueConstraints::insertLocalVar ( unsigned pos, unsigned num = 1 )
inline

Definition at line 299 of file AffineStructures.h.

References insertVar().

Referenced by flattenAlignedMapAndMergeLocals().

## ◆ insertSymbolVar() [1/2]

 unsigned mlir::FlatAffineValueConstraints::insertSymbolVar ( unsigned pos, unsigned num = 1 )
inline

Definition at line 296 of file AffineStructures.h.

References insertVar().

Referenced by mergeSymbolVars().

## ◆ insertSymbolVar() [2/2]

 unsigned FlatAffineValueConstraints::insertSymbolVar ( unsigned pos, ValueRange vals )

Definition at line 293 of file AffineStructures.cpp.

References insertVar().

## ◆ insertVar() [1/2]

 unsigned FlatAffineValueConstraints::insertVar ( presburger::VarKind kind, unsigned pos, unsigned num = 1 )
overridevirtual

Insert num variables of the specified kind at position pos.

Positions are relative to the kind of variable. Return the absolute column position (i.e., not relative to the kind of variable) of the first added variable.

Reimplemented from mlir::presburger::IntegerPolyhedron.

Definition at line 298 of file AffineStructures.cpp.

## ◆ insertVar() [2/2]

 unsigned FlatAffineValueConstraints::insertVar ( presburger::VarKind kind, unsigned pos, ValueRange vals )

Definition at line 310 of file AffineStructures.cpp.

## ◆ mergeAndAlignVarsWithOther()

 void FlatAffineValueConstraints::mergeAndAlignVarsWithOther ( unsigned offset, FlatAffineValueConstraints * other )

Merge and align the variables of this and other starting at offset, so that both constraint systems get the union of the contained variables that is dimension-wise and symbol-wise unique; both constraint systems are updated so that they have the union of all variables, with this's original variables appearing first followed by any of other's variables that didn't appear in this.

Local variables in other that have the same division representation as local variables in this are merged into one.

Definition at line 449 of file AffineStructures.cpp.

References mergeAndAlignVars().

## ◆ mergeSymbolVars()

 void FlatAffineValueConstraints::mergeSymbolVars ( FlatAffineValueConstraints & other )

Merge and align symbols of this and other such that both get union of of symbols that are unique.

Symbols in this and other should be unique. Symbols with Value as None are considered to be inequal to all other symbols.

Definition at line 525 of file AffineStructures.cpp.

## ◆ printSpace()

 void FlatAffineValueConstraints::printSpace ( raw_ostream & os ) const
overrideprotectedvirtual

Prints the number of constraints, dimensions, symbols and locals in the FlatAffineConstraints.

Also, prints for each variable whether there is an SSA Value attached to it.

Reimplemented from mlir::presburger::IntegerRelation.

Definition at line 1403 of file AffineStructures.cpp.

## ◆ projectOut()

 void FlatAffineValueConstraints::projectOut ( Value val )

Projects out the variable that is associate with Value.

Definition at line 1444 of file AffineStructures.cpp.

References findVar(), and fourierMotzkinEliminate().

## ◆ removeVarRange()

 void FlatAffineValueConstraints::removeVarRange ( presburger::VarKind kind, unsigned varStart, unsigned varLimit )
overridevirtual

Removes variables in the column range [varStart, varLimit), and copies any remaining valid data into place, updates member variables, and resizes arrays as needed.

Reimplemented from mlir::presburger::IntegerRelation.

Reimplemented in mlir::FlatAffineRelation.

Definition at line 747 of file AffineStructures.cpp.

References mlir::presburger::IntegerRelation::getVarKindOffset(), and values.

Referenced by mlir::FlatAffineRelation::removeVarRange().

## ◆ reset() [1/4]

 void FlatAffineValueConstraints::reset ( unsigned numDims, unsigned numSymbols, unsigned numLocals, ArrayRef< Value > valArgs )

Definition at line 270 of file AffineStructures.cpp.

References reset().

## ◆ reset() [2/4]

 void FlatAffineValueConstraints::reset ( unsigned numDims = 0, unsigned numSymbols = 0, unsigned numLocals = 0 )

Definition at line 247 of file AffineStructures.cpp.

References reset().

## ◆ reset() [3/4]

 void FlatAffineValueConstraints::reset ( unsigned numReservedInequalities, unsigned numReservedEqualities, unsigned numReservedCols, unsigned numDims, unsigned numSymbols, unsigned numLocals, ArrayRef< Value > valArgs )

Definition at line 255 of file AffineStructures.cpp.

References FlatAffineValueConstraints().

## ◆ reset() [4/4]

 void FlatAffineValueConstraints::reset ( unsigned numReservedInequalities, unsigned numReservedEqualities, unsigned numReservedCols, unsigned numDims, unsigned numSymbols, unsigned numLocals = 0 )

Clears any existing data and reserves memory for the specified constraints.

Definition at line 234 of file AffineStructures.cpp.

References FlatAffineValueConstraints().

## ◆ setValue()

 void mlir::FlatAffineValueConstraints::setValue ( unsigned pos, Value val )
inline

Sets the Value associated with the pos^th variable.

Definition at line 452 of file AffineStructures.h.

## ◆ setValues()

 void mlir::FlatAffineValueConstraints::setValues ( unsigned start, unsigned end, ArrayRef< Value > values )
inline

Sets the Values associated with the variables in the range [start, end).

The range must contain only dim and symbol variables.

Definition at line 459 of file AffineStructures.h.

References mlir::presburger::IntegerRelation::getNumVars(), setValue(), and values.

## ◆ swapVar()

 void FlatAffineValueConstraints::swapVar ( unsigned posA, unsigned posB )
overridevirtual

Swap the posA^th variable with the posB^th variable.

Reimplemented from mlir::presburger::IntegerRelation.

Definition at line 1378 of file AffineStructures.cpp.

References mlir::presburger::IntegerRelation::getVarKindAt(), and values.

## ◆ unionBoundingBox()

 LogicalResult FlatAffineValueConstraints::unionBoundingBox ( const FlatAffineValueConstraints & other )

Updates the constraints to be the smallest bounding (enclosing) box that contains the points of this set and that of other, with the symbols being treated specially.

For each of the dimensions, the min of the lower bounds (symbolic) and the max of the upper bounds (symbolic) is computed to determine such a bounding box. other is expected to have the same dimensional variables as this constraint system (in the same order).

E.g.: 1) this = {0 <= d0 <= 127}, other = {16 <= d0 <= 192}, output = {0 <= d0 <= 192} 2) this = {s0 + 5 <= d0 <= s0 + 20}, other = {s0 + 1 <= d0 <= s0 + 9}, output = {s0 + 1 <= d0 <= s0 + 20} 3) this = {0 <= d0 <= 5, 1 <= d1 <= 9} other = {2 <= d0 <= 6, 5 <= d1 <= 15}, output = {0 <= d0 <= 6, 1 <= d1 <= 15}

Definition at line 1452 of file AffineStructures.cpp.

Referenced by mlir::computeSliceUnion().

## ◆ values

 SmallVector, 8> mlir::FlatAffineValueConstraints::values
protected

Values corresponding to the (column) non-local variables of this constraint system appearing in the order the variables correspond to columns.

Variables that aren't associated with any Value are set to None.

Definition at line 514 of file AffineStructures.h.

The documentation for this class was generated from the following files: