FlatLinearValueConstraints represents an extension of FlatLinearConstraints where each non-local variable can have an SSA Value attached to it. More...
#include "mlir/Analysis/FlatLinearValueConstraints.h"
Inheritance diagram for mlir::FlatLinearValueConstraints:
Public Types | |
| using | Identifier = presburger::Identifier |
| The SSA Values attached to each non-local variable are stored as identifiers in the constraint system's space. More... | |
| Public Types inherited from mlir::presburger::IntegerRelation | |
| enum class | Kind { IntegerRelation , IntegerPolyhedron , FlatLinearConstraints , FlatLinearValueConstraints , FlatAffineValueConstraints , FlatAffineRelation } |
| All derived classes of IntegerRelation. More... | |
Public Member Functions | |
| FlatLinearValueConstraints (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... | |
| FlatLinearValueConstraints (unsigned numReservedInequalities, unsigned numReservedEqualities, unsigned numReservedCols, unsigned numDims, unsigned numSymbols, unsigned numLocals, ArrayRef< Value > valArgs) | |
| Constructs a constraint system reserving memory for the specified number of constraints and variables. More... | |
| FlatLinearValueConstraints (unsigned numDims, unsigned numSymbols, unsigned numLocals, ArrayRef< std::optional< Value >> valArgs) | |
| Constructs a constraint system with the specified number of dimensions and symbols. More... | |
| FlatLinearValueConstraints (unsigned numDims=0, unsigned numSymbols=0, unsigned numLocals=0, ArrayRef< Value > valArgs={}) | |
| Constructs a constraint system with the specified number of dimensions and symbols. More... | |
| FlatLinearValueConstraints (const IntegerPolyhedron &fac, ArrayRef< std::optional< Value >> valArgs={}) | |
| FlatLinearValueConstraints (IntegerSet set, ValueRange operands={}) | |
| Creates an affine constraint system from an IntegerSet. More... | |
| Kind | getKind () const override |
| Return the kind of this object. More... | |
| void | addBound (presburger::BoundType type, Value val, int64_t value) |
| Adds a constant bound for the variable associated with the given Value. More... | |
| Value | getValue (unsigned pos) const |
| Returns the Value associated with the pos^th variable. More... | |
| void | getValues (unsigned start, unsigned end, SmallVectorImpl< Value > *values) const |
| Returns the Values associated with variables in range [start, end). More... | |
| SmallVector< std::optional< Value > > | getMaybeValues () const |
| SmallVector< std::optional< Value > > | getMaybeValues (presburger::VarKind kind) const |
| bool | hasValue (unsigned pos) const |
| Returns true if the pos^th variable has an associated Value. More... | |
| unsigned | appendDimVar (ValueRange vals) |
| unsigned | appendSymbolVar (ValueRange vals) |
| 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) |
| 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... | |
| 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... | |
| bool | findVar (Value val, unsigned *pos, unsigned offset=0) const |
Looks up the position of the variable with the specified Value starting with variables at offset offset. More... | |
| bool | containsVar (Value val) const |
| Returns true if a variable with the specified Value exists, false otherwise. More... | |
| void | projectOut (Value val) |
| Projects out the variable that is associate with Value. More... | |
| void | printSpace (raw_ostream &os) const override |
| Prints the number of constraints, dimensions, symbols and locals in the FlatAffineValueConstraints. More... | |
| AffineMap | computeAlignedMap (AffineMap map, ValueRange operands) const |
Align map with this constraint system based on operands. More... | |
| void | mergeAndAlignVarsWithOther (unsigned offset, FlatLinearValueConstraints *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... | |
| void | mergeSymbolVars (FlatLinearValueConstraints &other) |
Merge and align symbols of this and other such that both get union of of symbols that are unique. More... | |
| bool | areVarsAlignedWithOther (const FlatLinearConstraints &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... | |
| LogicalResult | unionBoundingBox (const FlatLinearValueConstraints &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... | |
| LogicalResult | addBound (presburger::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 (presburger::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... | |
| unsigned | appendDimVar (unsigned num=1) |
| Append variables of the specified kind after the last variable of that kind. More... | |
| unsigned | appendSymbolVar (unsigned num=1) |
| unsigned | insertDimVar (unsigned pos, unsigned num=1) |
Insert variables of the specified kind at position pos. More... | |
| unsigned | insertSymbolVar (unsigned pos, unsigned num=1) |
| Public Member Functions inherited from mlir::FlatLinearConstraints | |
| FlatLinearConstraints (unsigned numReservedInequalities, unsigned numReservedEqualities, unsigned numReservedCols, unsigned numDims, unsigned numSymbols, unsigned numLocals) | |
| Constructs a constraint system reserving memory for the specified number of constraints and variables. More... | |
| FlatLinearConstraints (unsigned numDims=0, unsigned numSymbols=0, unsigned numLocals=0) | |
| Constructs a constraint system with the specified number of dimensions and symbols. More... | |
| FlatLinearConstraints (const IntegerPolyhedron &fac) | |
| LogicalResult | addBound (presburger::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 (presburger::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... | |
| 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 closedUB=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 FlatLinearConstraints. More... | |
| std::pair< AffineMap, AffineMap > | getLowerAndUpperBound (unsigned pos, unsigned offset, unsigned num, unsigned symStartPos, ArrayRef< AffineExpr > localExprs, MLIRContext *context, bool closedUB=false) 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... | |
| 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 | appendDimVar (unsigned num=1) |
| Append variables of the specified kind after the last variable of that kind. More... | |
| unsigned | appendSymbolVar (unsigned num=1) |
| unsigned | appendLocalVar (unsigned num=1) |
| 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 PresburgerSpace &space, IntMatrix inequalities) | |
| Constructs a relation with the specified number of dimensions and symbols and adds the given inequalities. More... | |
| IntegerPolyhedron (const PresburgerSpace &space, FracMatrix inequalities) | |
| Constructs a relation with the specified number of dimensions and symbols and adds the given inequalities, after normalizing row-wise to integer values. 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... | |
| Kind | getKind () const override |
| Return the kind of this IntegerRelation. More... | |
| std::unique_ptr< IntegerPolyhedron > | clone () const |
| unsigned | insertVar (VarKind kind, unsigned pos, unsigned num=1) override |
Insert num variables of the specified kind at position pos. More... | |
| 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< IntegerRelation > | clone () const |
| const PresburgerSpace & | getSpace () 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... | |
| void | setId (VarKind kind, unsigned i, Identifier id) |
| Set the identifier for the ith variable of the specified kind of the IntegerRelation's PresburgerSpace. More... | |
| void | resetIds () |
| ArrayRef< Identifier > | getIds (VarKind kind) |
| Get the identifiers for the variables of specified varKind. 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 | isObviouslyEqual (const IntegerRelation &other) const |
Perform a quick equality check on this and other. 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... | |
| MPInt & | atEq (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... | |
| MPInt & | atIneq (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< MPInt > | getEquality (unsigned idx) const |
| ArrayRef< MPInt > | getInequality (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 |
| IntMatrix | getInequalities () 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... | |
| virtual void | swapVar (unsigned posA, unsigned posB) |
| Swap the posA^th variable with the posB^th variable. 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 | isObviouslyEmpty () const |
| Performs GCD checks and invalid constraint checks. 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... | |
| IntMatrix | 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< MPInt > | computeVolume () 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< MPInt > | getConstantBoundOnDimSize (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< MPInt > | getConstantBound (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 | simplify () |
| Simplify the constraint system by removing canonicalizing constraints and removing redundant constraints. More... | |
| 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) |
| void | mergeAndAlignSymbols (IntegerRelation &other) |
Merge and align symbol variables of this and other with respect to identifiers. More... | |
| 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... | |
| void | mergeAndCompose (const IntegerRelation &other) |
Given a relation other: (A -> B), this operation merges the symbol and local variables and then takes the composition of other on this: (B -> C). More... | |
| PresburgerRelation | computeReprWithOnlyDivLocals () const |
| Compute an equivalent representation of the same set, such that all local vars in all disjuncts have division representations. More... | |
| SymbolicLexOpt | findSymbolicIntegerLexMin () const |
| Compute the symbolic integer lexmin of the relation. More... | |
| SymbolicLexOpt | findSymbolicIntegerLexMax () const |
| Same as findSymbolicIntegerLexMin but produces lexmax instead of lexmin. 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 | removeTrivialEqualities () |
| bool | isFullDim () |
| void | print (raw_ostream &os) const |
| void | dump () const |
Static Public Member Functions | |
| 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 IntegerRelation | getEmpty (const PresburgerSpace &space) |
| Return an empty system containing an invalid equation 0 = 1. More... | |
| static bool | classof (const IntegerRelation *cst) |
Additional Inherited Members | |
| Protected Types inherited from mlir::FlatLinearConstraints | |
| using | VarKind = presburger::VarKind |
| Protected Member Functions inherited from mlir::FlatLinearConstraints | |
| LogicalResult | computeLocalVars (SmallVectorImpl< AffineExpr > &memo, MLIRContext *context) const |
| Compute an explicit representation for local vars. More... | |
| LogicalResult | flattenAlignedMapAndMergeLocals (AffineMap map, std::vector< SmallVector< int64_t, 8 >> *flattenedExprs) |
| Given an affine map that is aligned with this constraint system: 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< MPInt > | computeConstantLowerOrUpperBound (unsigned pos) |
| Returns the constant lower 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... | |
| bool | gaussianEliminate () |
| Perform a Gaussian elimination operation to reduce all equations to standard form. More... | |
| virtual void | fourierMotzkinEliminate (unsigned pos, bool darkShadow=false, bool *isResultIntegerExact=nullptr) |
| 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 | 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... | |
| bool | removeDuplicateConstraints () |
| Checks for identical inequalities and eliminates redundant inequalities. More... | |
| virtual bool | hasConsistentState () const |
| Returns false if the fields corresponding to various variable counts, or equality/inequality buffer sizes aren't consistent; true otherwise. 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 inherited from mlir::presburger::IntegerRelation | |
| PresburgerSpace | space |
| IntMatrix | equalities |
| Coefficients of affine equalities (in == 0 form). More... | |
| IntMatrix | inequalities |
| Coefficients of affine inequalities (in >= 0 form). 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
FlatLinearValueConstraints represents an extension of FlatLinearConstraints where each non-local variable can have an SSA Value attached to it.
Definition at line 206 of file FlatLinearValueConstraints.h.
Member Typedef Documentation
◆ Identifier
The SSA Values attached to each non-local variable are stored as identifiers in the constraint system's space.
Definition at line 210 of file FlatLinearValueConstraints.h.
Constructor & Destructor Documentation
◆ FlatLinearValueConstraints() [1/6]
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inline |
Constructs a constraint system reserving memory for the specified number of constraints and variables.
valArgs are the optional SSA values associated with each dimension/symbol. These must either be empty or match the number of dimensions and symbols.
Definition at line 216 of file FlatLinearValueConstraints.h.
References mlir::presburger::IntegerRelation::getNumDimAndSymbolVars(), and setValue().
◆ FlatLinearValueConstraints() [2/6]
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inline |
Constructs a constraint system reserving memory for the specified number of constraints and variables.
valArgs are the optional SSA values associated with each dimension/symbol. These must either be empty or match the number of dimensions and symbols.
Definition at line 233 of file FlatLinearValueConstraints.h.
References mlir::presburger::IntegerRelation::getNumDimAndSymbolVars(), and setValue().
◆ FlatLinearValueConstraints() [3/6]
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inline |
Constructs a constraint system with the specified number of dimensions and symbols.
valArgs are the optional SSA values associated with each dimension/symbol. These must either be empty or match the number of dimensions and symbols.
Definition at line 250 of file FlatLinearValueConstraints.h.
◆ FlatLinearValueConstraints() [4/6]
|
inline |
Constructs a constraint system with the specified number of dimensions and symbols.
valArgs are the optional SSA values associated with each dimension/symbol. These must either be empty or match the number of dimensions and symbols.
Definition at line 263 of file FlatLinearValueConstraints.h.
◆ FlatLinearValueConstraints() [5/6]
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inline |
Definition at line 272 of file FlatLinearValueConstraints.h.
◆ FlatLinearValueConstraints() [6/6]
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explicit |
Creates an affine constraint system from an IntegerSet.
Definition at line 815 of file FlatLinearValueConstraints.cpp.
References mlir::presburger::IntegerRelation::addEquality(), mlir::presburger::IntegerRelation::addInequality(), mlir::presburger::IntegerRelation::append(), mlir::failed(), mlir::IntegerSet::getEqFlags(), mlir::getFlattenedAffineExprs(), mlir::presburger::IntegerRelation::getNumCols(), mlir::IntegerSet::getNumConstraints(), mlir::IntegerSet::getNumInputs(), mlir::presburger::IntegerRelation::getNumLocalVars(), mlir::presburger::IntegerRelation::getNumVarKind(), insertVar(), and setValue().
Member Function Documentation
◆ addBound() [1/3]
| LogicalResult FlatLinearConstraints::addBound |
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 FlatLinearConstraints 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 93 of file FlatLinearValueConstraints.cpp.
◆ addBound() [2/3]
| LogicalResult FlatLinearConstraints::addBound |
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 FlatLinearConstraints must match the dimensions/symbols of the affine map.
Definition at line 82 of file FlatLinearValueConstraints.cpp.
Referenced by addBound().
◆ addBound() [3/3]
| void FlatLinearValueConstraints::addBound | ( | presburger::BoundType | type, |
| Value | val, | ||
| int64_t | value | ||
| ) |
Adds a constant bound for the variable associated with the given Value.
Definition at line 1114 of file FlatLinearValueConstraints.cpp.
References addBound(), and findVar().
◆ appendDimVar() [1/2]
|
inline |
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 166 of file FlatLinearValueConstraints.h.
◆ appendDimVar() [2/2]
| unsigned FlatLinearValueConstraints::appendDimVar | ( | ValueRange | vals | ) |
Definition at line 851 of file FlatLinearValueConstraints.cpp.
References mlir::presburger::IntegerRelation::getNumDimVars(), and insertVar().
Referenced by mlir::scf::addLoopRangeConstraints(), mlir::affine::getRelationFromMap(), and mergeAndAlignVars().
◆ appendSymbolVar() [1/2]
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inline |
Definition at line 169 of file FlatLinearValueConstraints.h.
◆ appendSymbolVar() [2/2]
| unsigned FlatLinearValueConstraints::appendSymbolVar | ( | ValueRange | vals | ) |
Definition at line 856 of file FlatLinearValueConstraints.cpp.
References mlir::presburger::IntegerRelation::getNumSymbolVars(), and insertVar().
Referenced by mlir::scf::addLoopRangeConstraints(), and alignAndAddBound().
◆ areVarsAlignedWithOther()
| bool FlatLinearValueConstraints::areVarsAlignedWithOther | ( | const FlatLinearConstraints & | 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 910 of file FlatLinearValueConstraints.cpp.
References areVarsAligned().
Referenced by mlir::affine::computeSliceUnion().
◆ classof()
|
inlinestatic |
Definition at line 289 of file FlatLinearValueConstraints.h.
References mlir::presburger::IntegerRelation::FlatAffineRelation, and mlir::presburger::IntegerRelation::FlatLinearValueConstraints.
◆ computeAlignedMap()
| AffineMap FlatLinearValueConstraints::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 1066 of file FlatLinearValueConstraints.cpp.
References mlir::alignAffineMapWithValues(), mlir::presburger::PresburgerSpace::getId(), mlir::presburger::IntegerRelation::getNumDimVars(), mlir::AffineMap::getNumInputs(), mlir::presburger::IntegerRelation::getNumSymbolVars(), mlir::presburger::IntegerRelation::getNumVarKind(), hasValue(), and mlir::presburger::IntegerRelation::space.
◆ containsVar()
| bool FlatLinearValueConstraints::containsVar | ( | Value | val | ) | const |
Returns true if a variable with the specified Value exists, false otherwise.
Definition at line 1109 of file FlatLinearValueConstraints.cpp.
References findVar().
Referenced by mlir::affine::ComputationSliceState::getAsConstraints().
◆ findVar()
| bool FlatLinearValueConstraints::findVar | ( | Value | val, |
| unsigned * | pos, | ||
| unsigned | offset = 0 |
||
| ) | const |
Looks up the position of the variable with the specified Value starting with variables at offset offset.
Returns true if found (false otherwise). pos is set to the (column) position of the variable.
Definition at line 1098 of file FlatLinearValueConstraints.cpp.
References getMaybeValues().
Referenced by addBound(), containsVar(), mergeAndAlignVars(), mergeSymbolVars(), projectOut(), and turnSymbolIntoDim().
◆ getKind()
|
inlineoverridevirtual |
Return the kind of this object.
Reimplemented from mlir::FlatLinearConstraints.
Reimplemented in mlir::affine::FlatAffineRelation, and mlir::affine::FlatAffineValueConstraints.
Definition at line 287 of file FlatLinearValueConstraints.h.
References mlir::presburger::IntegerRelation::FlatLinearValueConstraints.
◆ getMaybeValues() [1/2]
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inline |
Definition at line 320 of file FlatLinearValueConstraints.h.
References mlir::presburger::IntegerRelation::getNumDimAndSymbolVars(), getValue(), and hasValue().
Referenced by alignAndAddBound(), areVarsAligned(), areVarsUnique(), mlir::affine::FlatAffineRelation::compose(), findVar(), mergeAndAlignVars(), and unionBoundingBox().
◆ getMaybeValues() [2/2]
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inline |
Definition at line 333 of file FlatLinearValueConstraints.h.
◆ getValue()
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inline |
Returns the Value associated with the pos^th variable.
Asserts if no Value variable was associated.
Definition at line 300 of file FlatLinearValueConstraints.h.
References mlir::presburger::IntegerRelation::getNumDimAndSymbolVars(), and hasValue().
Referenced by addMissingLoopIVBounds(), mlir::affine::computeSliceUnion(), mlir::affine::MemRefAccess::getAccessRelation(), mlir::affine::getComputationSliceState(), getMaybeValues(), getNumCommonLoops(), getValues(), mergeAndAlignVars(), and mergeSymbolVars().
◆ getValues()
|
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 310 of file FlatLinearValueConstraints.h.
References mlir::presburger::IntegerRelation::getNumDimAndSymbolVars(), and getValue().
Referenced by mlir::affine::computeSliceUnion(), createPrivateMemRef(), createSeparationCondition(), generateCopy(), mlir::affine::getComputationSliceState(), mergeAndAlignVars(), and mergeSymbolVars().
◆ hasValue()
|
inline |
Returns true if the pos^th variable has an associated Value.
Definition at line 349 of file FlatLinearValueConstraints.h.
References mlir::presburger::IntegerRelation::getNumDimAndSymbolVars().
Referenced by computeAlignedMap(), getMaybeValues(), getValue(), and printSpace().
◆ insertDimVar() [1/2]
|
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 149 of file FlatLinearValueConstraints.h.
◆ insertDimVar() [2/2]
| unsigned FlatLinearValueConstraints::insertDimVar | ( | unsigned | pos, |
| ValueRange | vals | ||
| ) |
Definition at line 861 of file FlatLinearValueConstraints.cpp.
References insertVar().
Referenced by mergeAndAlignVars().
◆ insertSymbolVar() [1/2]
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inline |
Definition at line 152 of file FlatLinearValueConstraints.h.
Referenced by mergeSymbolVars().
◆ insertSymbolVar() [2/2]
| unsigned FlatLinearValueConstraints::insertSymbolVar | ( | unsigned | pos, |
| ValueRange | vals | ||
| ) |
Definition at line 866 of file FlatLinearValueConstraints.cpp.
References insertVar().
Referenced by mergeSymbolVars().
◆ insertVar() [1/2]
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overridevirtual |
Insert num 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. Return the absolute column position (i.e., not relative to the kind of variable) of the first added variable.
Reimplemented from mlir::presburger::IntegerRelation.
Definition at line 871 of file FlatLinearValueConstraints.cpp.
Referenced by appendDimVar(), appendSymbolVar(), FlatLinearValueConstraints(), insertDimVar(), and insertSymbolVar().
◆ insertVar() [2/2]
| unsigned FlatLinearValueConstraints::insertVar | ( | presburger::VarKind | kind, |
| unsigned | pos, | ||
| ValueRange | vals | ||
| ) |
Definition at line 878 of file FlatLinearValueConstraints.cpp.
◆ mergeAndAlignVarsWithOther()
| void FlatLinearValueConstraints::mergeAndAlignVarsWithOther | ( | unsigned | offset, |
| FlatLinearValueConstraints * | 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 1020 of file FlatLinearValueConstraints.cpp.
References mergeAndAlignVars().
Referenced by mlir::affine::computeSliceUnion().
◆ mergeSymbolVars()
| void FlatLinearValueConstraints::mergeSymbolVars | ( | FlatLinearValueConstraints & | other | ) |
Merge and align symbols of this and other such that both get union of of symbols that are unique.
Merge and align symbols of this and other such that both get union of of symbols.
Symbols in this and other should be unique. Symbols with Value as None are considered to be inequal to all other symbols.
Existing symbols need not be unique; they will be aligned from left to right with duplicates aligned in the same order. Symbols with Value as None are considered to be inequal to all other symbols.
Definition at line 1029 of file FlatLinearValueConstraints.cpp.
References findVar(), mlir::presburger::IntegerRelation::getNumDimAndSymbolVars(), mlir::presburger::IntegerRelation::getNumDimVars(), mlir::presburger::IntegerRelation::getNumSymbolVars(), getValue(), getValues(), insertSymbolVar(), and mlir::presburger::IntegerRelation::swapVar().
Referenced by mergeAndAlignVars().
◆ printSpace()
|
overridevirtual |
Prints the number of constraints, dimensions, symbols and locals in the FlatAffineValueConstraints.
Also, prints for each variable whether there is an SSA Value attached to it.
Reimplemented from mlir::FlatLinearConstraints.
Definition at line 1135 of file FlatLinearValueConstraints.cpp.
References mlir::presburger::IntegerRelation::getNumDimAndSymbolVars(), mlir::presburger::IntegerRelation::getVarKindEnd(), mlir::presburger::IntegerRelation::getVarKindOffset(), hasValue(), and impl::printSpace().
◆ projectOut()
| void FlatLinearValueConstraints::projectOut | ( | Value | val | ) |
Projects out the variable that is associate with Value.
Definition at line 1151 of file FlatLinearValueConstraints.cpp.
References findVar(), and mlir::presburger::IntegerRelation::fourierMotzkinEliminate().
Referenced by mlir::affine::getComputationSliceState(), mlir::affine::ComputationSliceState::isSliceValid(), and mlir::affine::normalizeMemRefType().
◆ removeVarRange()
|
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::affine::FlatAffineRelation.
Definition at line 1060 of file FlatLinearValueConstraints.cpp.
◆ setValue()
|
inline |
Sets the Value associated with the pos^th variable.
Stores the Value in the space's identifiers.
Definition at line 381 of file FlatLinearValueConstraints.h.
References mlir::presburger::IntegerRelation::getNumDimAndSymbolVars().
Referenced by mlir::affine::FlatAffineRelation::compose(), FlatLinearValueConstraints(), mlir::affine::getRelationFromMap(), and setValues().
◆ setValues()
|
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 390 of file FlatLinearValueConstraints.h.
References mlir::presburger::IntegerRelation::getNumVars(), and setValue().
◆ unionBoundingBox()
| LogicalResult FlatLinearValueConstraints::unionBoundingBox | ( | const FlatLinearValueConstraints & | 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 1159 of file FlatLinearValueConstraints.cpp.
References areVarsAligned(), getMaybeValues(), mlir::presburger::IntegerRelation::getNumDimVars(), mlir::presburger::IntegerRelation::getNumLocalVars(), and mergeAndAlignVars().
Referenced by mlir::affine::computeSliceUnion().
The documentation for this class was generated from the following files:
- include/mlir/Analysis/FlatLinearValueConstraints.h
- lib/Analysis/FlatLinearValueConstraints.cpp
