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	//===- SDBM.h - MLIR SDBM declaration ---------------------------- C++ --===//
	//
	// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
	// See https://llvm.org/LICENSE.txt for license information.
	// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
	//
	//===----------------------------------------------------------------------===//
	//
	// A striped difference-bound matrix (SDBM) is a set in Z^N (or R^N) defined
	// as {(x_1, ... x_n) \| f(x_1, ... x_n) >= 0} where f is an SDBM expression.
	//
	//===----------------------------------------------------------------------===//

	#ifndef MLIR_DIALECT_SDBM_SDBM_H
	#define MLIR_DIALECT_SDBM_SDBM_H

	#include "mlir/Support/LLVM.h"
	#include "llvm/ADT/DenseMap.h"

	namespace mlir {

	class MLIRContext;
	class SDBMDialect;
	class SDBMExpr;
	class SDBMTermExpr;

	/// A utility class for SDBM to represent an integer with potentially infinite
	/// positive value. This uses the largest value of int64_t to represent infinity
	/// and redefines the arithmetic operators so that the infinity "saturates":
	/// inf + x = inf,
	/// inf - x = inf.
	/// If a sum of two finite values reaches the largest value of int64_t, the
	/// behavior of IntInfty is undefined (in practice, it asserts), similarly to
	/// regular signed integer overflow.
	class IntInfty {
	public:
	constexpr static int64_t infty = std::numeric_limits<int64_t>::max();

	/implicit/ IntInfty(int64_t v) : value(v) {}

	IntInfty &operator=(int64_t v) {
	value = v;
	return *this;
	}

	static IntInfty infinity() { return IntInfty(infty); }

	int64_t getValue() const { return value; }
	explicit operator int64_t() const { return value; }

	bool isFinite() { return value != infty; }

	private:
	int64_t value;
	};

	inline IntInfty operator+(IntInfty lhs, IntInfty rhs) {
	if (!lhs.isFinite() \|\| !rhs.isFinite())
	return IntInfty::infty;

	// Check for overflows, treating the sum of two values adding up to INT_MAX as
	// overflow. Convert values to unsigned to get an extra bit and avoid the
	// undefined behavior of signed integer overflows.
	assert((lhs.getValue() <= 0 \|\| rhs.getValue() <= 0 \|\|
	static_cast<uint64_t>(lhs.getValue()) +
	static_cast<uint64_t>(rhs.getValue()) <
	static_cast<uint64_t>(std::numeric_limits<int64_t>::max())) &&
	"IntInfty overflow");
	// Check for underflows by converting values to unsigned to avoid undefined
	// behavior of signed integers perform the addition (bitwise result is same
	// because numbers are required to be two's complement in C++) and check if
	// the sign bit remains negative.
	assert((lhs.getValue() >= 0 \|\| rhs.getValue() >= 0 \|\|
	((static_cast<uint64_t>(lhs.getValue()) +
	static_cast<uint64_t>(rhs.getValue())) >>
	63) == 1) &&
	"IntInfty underflow");

	return lhs.getValue() + rhs.getValue();
	}

	inline bool operator<(IntInfty lhs, IntInfty rhs) {
	return lhs.getValue() < rhs.getValue();
	}

	inline bool operator<=(IntInfty lhs, IntInfty rhs) {
	return lhs.getValue() <= rhs.getValue();
	}

	inline bool operator==(IntInfty lhs, IntInfty rhs) {
	return lhs.getValue() == rhs.getValue();
	}

	inline bool operator!=(IntInfty lhs, IntInfty rhs) { return !(lhs == rhs); }

	/// Striped difference-bound matrix is a representation of an integer set bound
	/// by a system of SDBMExprs interpreted as inequalities "expr <= 0".
	class SDBM {
	public:
	/// Obtain an SDBM from a list of SDBM expressions treated as inequalities and
	/// equalities with zero.
	static SDBM get(ArrayRef<SDBMExpr> inequalities,
	ArrayRef<SDBMExpr> equalities);

	void getSDBMExpressions(SDBMDialect *dialect,
	SmallVectorImpl<SDBMExpr> &inequalities,
	SmallVectorImpl<SDBMExpr> &equalities);

	void print(raw_ostream &os);
	void dump();

	IntInfty operator()(int i, int j) { return at(i, j); }

	private:
	/// Get the given element of the difference bounds matrix. First index
	/// corresponds to the negative term of the difference, second index
	/// corresponds to the positive term of the difference.
	IntInfty &at(int i, int j) { return matrix[i * getNumVariables() + j]; }

	/// Populate `inequalities` and `equalities` based on the values at(row,col)
	/// and at(col,row) of the DBM. Depending on the values being finite and
	/// being subsumed by stripe expressions, this may or may not add elements to
	/// the lists of equalities and inequalities.
	void convertDBMElement(unsigned row, unsigned col, SDBMTermExpr rowExpr,
	SDBMTermExpr colExpr,
	SmallVectorImpl<SDBMExpr> &inequalities,
	SmallVectorImpl<SDBMExpr> &equalities);

	/// Populate `inequalities` based on the value at(pos,pos) of the DBM. Only
	/// adds new inequalities if the inequality is not trivially true.
	void convertDBMDiagonalElement(unsigned pos, SDBMTermExpr expr,
	SmallVectorImpl<SDBMExpr> &inequalities);

	/// Get the total number of elements in the matrix.
	unsigned getNumVariables() const {
	return 1 + numDims + numSymbols + numTemporaries;
	}

	/// Get the position in the matrix that corresponds to the given dimension.
	unsigned getDimPosition(unsigned position) const { return 1 + position; }

	/// Get the position in the matrix that corresponds to the given symbol.
	unsigned getSymbolPosition(unsigned position) const {
	return 1 + numDims + position;
	}

	/// Get the position in the matrix that corresponds to the given temporary.
	unsigned getTemporaryPosition(unsigned position) const {
	return 1 + numDims + numSymbols + position;
	}

	/// Number of dimensions in the system,
	unsigned numDims;
	/// Number of symbols in the system.
	unsigned numSymbols;
	/// Number of temporary variables in the system.
	unsigned numTemporaries;

	/// Difference bounds matrix, stored as a linearized row-major vector.
	/// Each value in this matrix corresponds to an inequality
	///
	/// v@col - v@row <= at(row, col)
	///
	/// where v@col and v@row are the variables that correspond to the linearized
	/// position in the matrix. The positions correspond to
	///
	/// - constant 0 (producing constraints v@col <= X and -v@row <= Y);
	/// - SDBM expression dimensions (d0, d1, ...);
	/// - SDBM expression symbols (s0, s1, ...);
	/// - temporary variables (t0, t1, ...).
	///
	/// Temporary variables are introduced to represent expressions that are not
	/// trivially a difference between two variables. For example, if one side of
	/// a difference expression is itself a stripe expression, it will be replaced
	/// with a temporary variable assigned equal to this expression.
	///
	/// Infinite entries in the matrix correspond correspond to an absence of a
	/// constraint:
	///
	/// v@col - v@row <= infinity
	///
	/// is trivially true. Negated values at symmetric positions in the matrix
	/// allow one to couple two inequalities into a single equality.
	std::vector<IntInfty> matrix;

	/// The mapping between the indices of variables in the DBM and the stripe
	/// expressions they are equal to. These expressions are stored as they
	/// appeared when constructing an SDBM from a SDBMExprs, in particular no
	/// temporaries can appear in these expressions. This removes the need to
	/// iteratively substitute definitions of the temporaries in the reverse
	/// conversion.
	DenseMap<unsigned, SDBMExpr> stripeToPoint;
	};

	} // namespace mlir

	#endif // MLIR_DIALECT_SDBM_SDBM_H

mlir/include/mlir/Dialect/SDBM/SDBMDialect.h

This file was deleted.

	//===- SDBMDialect.h - Dialect for striped DBMs ------------------ C++ --===//
	//
	// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
	// See https://llvm.org/LICENSE.txt for license information.
	// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
	//
	//===----------------------------------------------------------------------===//

	#ifndef MLIR_DIALECT_SDBM_SDBMDIALECT_H
	#define MLIR_DIALECT_SDBM_SDBMDIALECT_H

	#include "mlir/IR/Dialect.h"
	#include "mlir/Support/StorageUniquer.h"

	namespace mlir {
	class MLIRContext;

	class SDBMDialect : public Dialect {
	public:
	SDBMDialect(MLIRContext *context);

	/// Since there are no other virtual methods in this derived class, override
	/// the destructor so that key methods get defined in the corresponding
	/// module.
	~SDBMDialect() override;

	static StringRef getDialectNamespace() { return "sdbm"; }

	/// Get the uniquer for SDBM expressions. This should not be used directly.
	StorageUniquer &getUniquer() { return uniquer; }

	private:
	StorageUniquer uniquer;
	};
	} // namespace mlir

	#endif // MLIR_DIALECT_SDBM_SDBMDIALECT_H

mlir/include/mlir/Dialect/SDBM/SDBMExpr.h

This file was deleted.

	//===- SDBMExpr.h - MLIR SDBM Expression ------------------------- C++ --===//
	//
	// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
	// See https://llvm.org/LICENSE.txt for license information.
	// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
	//
	//===----------------------------------------------------------------------===//
	//
	// A striped difference-bound matrix (SDBM) expression is a constant expression,
	// an identifier, a binary expression with constant RHS and +, stripe operators
	// or a difference expression between two identifiers.
	//
	//===----------------------------------------------------------------------===//

	#ifndef MLIR_DIALECT_SDBM_SDBMEXPR_H
	#define MLIR_DIALECT_SDBM_SDBMEXPR_H

	#include "mlir/Support/LLVM.h"
	#include "llvm/ADT/DenseMapInfo.h"

	namespace mlir {

	class AffineExpr;
	class MLIRContext;

	enum class SDBMExprKind { Add, Stripe, Diff, Constant, DimId, SymbolId, Neg };

	namespace detail {
	struct SDBMExprStorage;
	struct SDBMBinaryExprStorage;
	struct SDBMDiffExprStorage;
	struct SDBMTermExprStorage;
	struct SDBMConstantExprStorage;
	struct SDBMNegExprStorage;
	} // namespace detail

	class SDBMConstantExpr;
	class SDBMDialect;
	class SDBMDimExpr;
	class SDBMSymbolExpr;
	class SDBMTermExpr;

	/// Striped Difference-Bounded Matrix (SDBM) expression is a base left-hand side
	/// expression for the SDBM framework. SDBM expressions are a subset of affine
	/// expressions supporting low-complexity algorithms for the operations used in
	/// loop transformations. In particular, are supported:
	/// - constant expressions;
	/// - single variables (dimensions and symbols) with +1 or -1 coefficient;
	/// - stripe expressions: "x # C", where "x" is a single variable or another
	/// stripe expression, "#" is the stripe operator, and "C" is a constant
	/// expression; "#" is defined as x - x mod C.
	/// - sum expressions between single variable/stripe expressions and constant
	/// expressions;
	/// - difference expressions between single variable/stripe expressions.
	/// `SDBMExpr` class hierarchy provides a type-safe interface to constructing
	/// and operating on SDBM expressions. For example, it requires the LHS of a
	/// sum expression to be a single variable or a stripe expression. These
	/// restrictions are intended to force the caller to perform the necessary
	/// simplifications to stay within the SDBM domain, because SDBM expressions do
	/// not combine in more cases than they do. This choice may be reconsidered in
	/// the future.
	///
	/// SDBM expressions are grouped into the following structure
	/// - expression
	/// - varying
	/// - direct
	/// - sum <- (term, constant)
	/// - term
	/// - symbol
	/// - dimension
	/// - stripe <- (direct, constant)
	/// - negation <- (direct)
	/// - difference <- (direct, term)
	/// - constant
	/// The notation <- (...) denotes the types of subexpressions a compound
	/// expression can combine. The tree of subexpressions essentially imposes the
	/// following canonicalization rules:
	/// - constants are always folded;
	/// - constants can only appear on the RHS of an expression;
	/// - double negation must be elided;
	/// - an additive constant term is only allowed in a sum expression, and
	/// should be sunk into the nearest such expression in the tree;
	/// - zero constant expression can only appear at the top level.
	///
	/// `SDBMExpr` and derived classes are thin wrappers around a pointer owned by
	/// an MLIRContext, and should be used by-value. They are uniqued in the
	/// MLIRContext and immortal.
	class SDBMExpr {
	public:
	using ImplType = detail::SDBMExprStorage;
	SDBMExpr() : impl(nullptr) {}
	/* implicit / SDBMExpr(ImplType expr) : impl(expr) {}

	/// SDBM expressions are thin wrappers around a unique'ed immutable pointer,
	/// which makes them trivially assignable and trivially copyable.
	SDBMExpr(const SDBMExpr &) = default;
	SDBMExpr &operator=(const SDBMExpr &) = default;

	/// SDBM expressions can be compared straight-forwardly.
	bool operator==(const SDBMExpr &other) const { return impl == other.impl; }
	bool operator!=(const SDBMExpr &other) const { return !(*this == other); }

	/// SDBM expressions are convertible to `bool`: null expressions are converted
	/// to false, non-null expressions are converted to true.
	explicit operator bool() const { return impl != nullptr; }
	bool operator!() const { return !static_cast<bool>(*this); }

	/// Negate the given SDBM expression.
	SDBMExpr operator-();

	/// Prints the SDBM expression.
	void print(raw_ostream &os) const;
	void dump() const;

	/// LLVM-style casts.
	template <typename U> bool isa() const { return U::isClassFor(*this); }
	template <typename U> U dyn_cast() const {
	if (!isa<U>())
	return {};
	return U(const_cast<SDBMExpr *>(this)->impl);
	}
	template <typename U> U cast() const {
	assert(isa<U>() && "cast to incorrect subtype");
	return U(const_cast<SDBMExpr *>(this)->impl);
	}

	/// Support for LLVM hashing.
	::llvm::hash_code hash_value() const { return ::llvm::hash_value(impl); }

	/// Returns the kind of the SDBM expression.
	SDBMExprKind getKind() const;

	/// Returns the MLIR context in which this expression lives.
	MLIRContext *getContext() const;

	/// Returns the SDBM dialect instance.
	SDBMDialect *getDialect() const;

	/// Convert the SDBM expression into an Affine expression. This always
	/// succeeds because SDBM are a subset of affine.
	AffineExpr getAsAffineExpr() const;

	/// Try constructing an SDBM expression from the given affine expression.
	/// This may fail if the affine expression is not representable as SDBM, in
	/// which case llvm::None is returned. The conversion procedure recognizes
	/// (nested) multiplicative ((x floordiv B) * B) and additive (x - x mod B)
	/// patterns for the stripe expression.
	static Optional<SDBMExpr> tryConvertAffineExpr(AffineExpr affine);

	protected:
	ImplType *impl;
	};

	/// SDBM constant expression, wraps a 64-bit integer.
	class SDBMConstantExpr : public SDBMExpr {
	public:
	using ImplType = detail::SDBMConstantExprStorage;

	using SDBMExpr::SDBMExpr;

	/// Obtain or create a constant expression unique'ed in the given dialect
	/// (which belongs to a context).
	static SDBMConstantExpr get(SDBMDialect *dialect, int64_t value);

	static bool isClassFor(const SDBMExpr &expr) {
	return expr.getKind() == SDBMExprKind::Constant;
	}

	int64_t getValue() const;
	};

	/// SDBM varying expression can be one of:
	/// - input variable expression;
	/// - stripe expression;
	/// - negation (product with -1) of either of the above.
	/// - sum of a varying and a constant expression
	/// - difference between varying expressions
	class SDBMVaryingExpr : public SDBMExpr {
	public:
	using ImplType = detail::SDBMExprStorage;
	using SDBMExpr::SDBMExpr;

	static bool isClassFor(const SDBMExpr &expr) {
	return expr.getKind() == SDBMExprKind::DimId \|\|
	expr.getKind() == SDBMExprKind::SymbolId \|\|
	expr.getKind() == SDBMExprKind::Neg \|\|
	expr.getKind() == SDBMExprKind::Stripe \|\|
	expr.getKind() == SDBMExprKind::Add \|\|
	expr.getKind() == SDBMExprKind::Diff;
	}
	};

	/// SDBM direct expression includes exactly one variable (symbol or dimension),
	/// which is not negated in the expression. It can be one of:
	/// - term expression;
	/// - sum expression.
	class SDBMDirectExpr : public SDBMVaryingExpr {
	public:
	using SDBMVaryingExpr::SDBMVaryingExpr;

	/// If this is a sum expression, return its variable part, otherwise return
	/// self.
	SDBMTermExpr getTerm();

	/// If this is a sum expression, return its constant part, otherwise return 0.
	int64_t getConstant();

	static bool isClassFor(const SDBMExpr &expr) {
	return expr.getKind() == SDBMExprKind::DimId \|\|
	expr.getKind() == SDBMExprKind::SymbolId \|\|
	expr.getKind() == SDBMExprKind::Stripe \|\|
	expr.getKind() == SDBMExprKind::Add;
	}
	};

	/// SDBM term expression can be one of:
	/// - single variable expression;
	/// - stripe expression.
	/// Stripe expressions are treated as terms since, in the SDBM domain, they are
	/// attached to temporary variables and can appear anywhere a variable can.
	class SDBMTermExpr : public SDBMDirectExpr {
	public:
	using SDBMDirectExpr::SDBMDirectExpr;

	static bool isClassFor(const SDBMExpr &expr) {
	return expr.getKind() == SDBMExprKind::DimId \|\|
	expr.getKind() == SDBMExprKind::SymbolId \|\|
	expr.getKind() == SDBMExprKind::Stripe;
	}
	};

	/// SDBM sum expression. LHS is a term expression and RHS is a constant.
	class SDBMSumExpr : public SDBMDirectExpr {
	public:
	using ImplType = detail::SDBMBinaryExprStorage;
	using SDBMDirectExpr::SDBMDirectExpr;

	/// Obtain or create a sum expression unique'ed in the given context.
	static SDBMSumExpr get(SDBMTermExpr lhs, SDBMConstantExpr rhs);

	static bool isClassFor(const SDBMExpr &expr) {
	SDBMExprKind kind = expr.getKind();
	return kind == SDBMExprKind::Add;
	}

	SDBMTermExpr getLHS() const;
	SDBMConstantExpr getRHS() const;
	};

	/// SDBM difference expression. LHS is a direct expression, i.e. it may be a
	/// sum of a term and a constant. RHS is a term expression. Thus the
	/// expression (t1 - t2 + C) with term expressions t1,t2 is represented as
	/// diff(sum(t1, C), t2)
	/// and it is possible to extract the constant factor without negating it.
	class SDBMDiffExpr : public SDBMVaryingExpr {
	public:
	using ImplType = detail::SDBMDiffExprStorage;
	using SDBMVaryingExpr::SDBMVaryingExpr;

	/// Obtain or create a difference expression unique'ed in the given context.
	static SDBMDiffExpr get(SDBMDirectExpr lhs, SDBMTermExpr rhs);

	static bool isClassFor(const SDBMExpr &expr) {
	return expr.getKind() == SDBMExprKind::Diff;
	}

	SDBMDirectExpr getLHS() const;
	SDBMTermExpr getRHS() const;
	};

	/// SDBM stripe expression "x # C" where "x" is a term expression, "C" is a
	/// constant expression and "#" is the stripe operator defined as:
	/// x # C = x - x mod C.
	class SDBMStripeExpr : public SDBMTermExpr {
	public:
	using ImplType = detail::SDBMBinaryExprStorage;
	using SDBMTermExpr::SDBMTermExpr;

	static bool isClassFor(const SDBMExpr &expr) {
	return expr.getKind() == SDBMExprKind::Stripe;
	}

	static SDBMStripeExpr get(SDBMDirectExpr var, SDBMConstantExpr stripeFactor);

	SDBMDirectExpr getLHS() const;
	SDBMConstantExpr getStripeFactor() const;
	};

	/// SDBM "input" variable expression can be either a dimension identifier or
	/// a symbol identifier. When used to define SDBM functions, dimensions are
	/// interpreted as function arguments while symbols are treated as unknown but
	/// constant values, hence the name.
	class SDBMInputExpr : public SDBMTermExpr {
	public:
	using ImplType = detail::SDBMTermExprStorage;
	using SDBMTermExpr::SDBMTermExpr;

	static bool isClassFor(const SDBMExpr &expr) {
	return expr.getKind() == SDBMExprKind::DimId \|\|
	expr.getKind() == SDBMExprKind::SymbolId;
	}

	unsigned getPosition() const;
	};

	/// SDBM dimension expression. Dimensions correspond to function arguments
	/// when defining functions using SDBM expressions.
	class SDBMDimExpr : public SDBMInputExpr {
	public:
	using ImplType = detail::SDBMTermExprStorage;
	using SDBMInputExpr::SDBMInputExpr;

	/// Obtain or create a dimension expression unique'ed in the given dialect
	/// (which belongs to a context).
	static SDBMDimExpr get(SDBMDialect *dialect, unsigned position);

	static bool isClassFor(const SDBMExpr &expr) {
	return expr.getKind() == SDBMExprKind::DimId;
	}
	};

	/// SDBM symbol expression. Symbols correspond to symbolic constants when
	/// defining functions using SDBM expressions.
	class SDBMSymbolExpr : public SDBMInputExpr {
	public:
	using ImplType = detail::SDBMTermExprStorage;
	using SDBMInputExpr::SDBMInputExpr;

	/// Obtain or create a symbol expression unique'ed in the given dialect (which
	/// belongs to a context).
	static SDBMSymbolExpr get(SDBMDialect *dialect, unsigned position);

	static bool isClassFor(const SDBMExpr &expr) {
	return expr.getKind() == SDBMExprKind::SymbolId;
	}
	};

	/// Negation of an SDBM variable expression. Equivalent to multiplying the
	/// expression with -1 (SDBM does not support other coefficients that 1 and -1).
	class SDBMNegExpr : public SDBMVaryingExpr {
	public:
	using ImplType = detail::SDBMNegExprStorage;
	using SDBMVaryingExpr::SDBMVaryingExpr;

	/// Obtain or create a negation expression unique'ed in the given context.
	static SDBMNegExpr get(SDBMDirectExpr var);

	static bool isClassFor(const SDBMExpr &expr) {
	return expr.getKind() == SDBMExprKind::Neg;
	}

	SDBMDirectExpr getVar() const;
	};

	/// A visitor class for SDBM expressions. Calls the kind-specific function
	/// depending on the kind of expression it visits.
	template <typename Derived, typename Result = void> class SDBMVisitor {
	public:
	/// Visit the given SDBM expression, dispatching to kind-specific functions.
	Result visit(SDBMExpr expr) {
	auto derived = static_cast<Derived >(this);
	switch (expr.getKind()) {
	case SDBMExprKind::Add:
	case SDBMExprKind::Diff:
	case SDBMExprKind::DimId:
	case SDBMExprKind::SymbolId:
	case SDBMExprKind::Neg:
	case SDBMExprKind::Stripe:
	return derived->visitVarying(expr.cast<SDBMVaryingExpr>());
	case SDBMExprKind::Constant:
	return derived->visitConstant(expr.cast<SDBMConstantExpr>());
	}

	llvm_unreachable("unsupported SDBM expression kind");
	}

	/// Traverse the SDBM expression tree calling `visit` on each node
	/// in depth-first preorder.
	void walkPreorder(SDBMExpr expr) { return walk</isPreorder=/true>(expr); }

	/// Traverse the SDBM expression tree calling `visit` on each node in
	/// depth-first postorder.
	void walkPostorder(SDBMExpr expr) { return walk</isPreorder=/false>(expr); }

	protected:
	/// Default visitors do nothing.
	void visitSum(SDBMSumExpr) {}
	void visitDiff(SDBMDiffExpr) {}
	void visitStripe(SDBMStripeExpr) {}
	void visitDim(SDBMDimExpr) {}
	void visitSymbol(SDBMSymbolExpr) {}
	void visitNeg(SDBMNegExpr) {}
	void visitConstant(SDBMConstantExpr) {}

	/// Default implementation of visitDirect dispatches to the dedicated for sums
	/// or delegates to visitTerm for the other expression kinds. Concrete
	/// visitors can overload it.
	Result visitDirect(SDBMDirectExpr expr) {
	auto derived = static_cast<Derived >(this);
	if (auto sum = expr.dyn_cast<SDBMSumExpr>())
	return derived->visitSum(sum);
	else
	return derived->visitTerm(expr.cast<SDBMTermExpr>());
	}

	/// Default implementation of visitTerm dispatches to the special functions
	/// for stripes and other variables. Concrete visitors can override it.
	Result visitTerm(SDBMTermExpr expr) {
	auto derived = static_cast<Derived >(this);
	if (expr.getKind() == SDBMExprKind::Stripe)
	return derived->visitStripe(expr.cast<SDBMStripeExpr>());
	else
	return derived->visitInput(expr.cast<SDBMInputExpr>());
	}

	/// Default implementation of visitInput dispatches to the special
	/// functions for dimensions or symbols. Concrete visitors can override it to
	/// visit all variables instead.
	Result visitInput(SDBMInputExpr expr) {
	auto derived = static_cast<Derived >(this);
	if (expr.getKind() == SDBMExprKind::DimId)
	return derived->visitDim(expr.cast<SDBMDimExpr>());
	else
	return derived->visitSymbol(expr.cast<SDBMSymbolExpr>());
	}

	/// Default implementation of visitVarying dispatches to the special
	/// functions for variables and negations thereof. Concrete visitors can
	/// override it to visit all variables and negations instead.
	Result visitVarying(SDBMVaryingExpr expr) {
	auto derived = static_cast<Derived >(this);
	if (auto var = expr.dyn_cast<SDBMDirectExpr>())
	return derived->visitDirect(var);
	else if (auto neg = expr.dyn_cast<SDBMNegExpr>())
	return derived->visitNeg(neg);
	else if (auto diff = expr.dyn_cast<SDBMDiffExpr>())
	return derived->visitDiff(diff);

	llvm_unreachable("unhandled subtype of varying SDBM expression");
	}

	template <bool isPreorder> void walk(SDBMExpr expr) {
	if (isPreorder)
	visit(expr);
	if (auto sumExpr = expr.dyn_cast<SDBMSumExpr>()) {
	walk<isPreorder>(sumExpr.getLHS());
	walk<isPreorder>(sumExpr.getRHS());
	} else if (auto diffExpr = expr.dyn_cast<SDBMDiffExpr>()) {
	walk<isPreorder>(diffExpr.getLHS());
	walk<isPreorder>(diffExpr.getRHS());
	} else if (auto stripeExpr = expr.dyn_cast<SDBMStripeExpr>()) {
	walk<isPreorder>(stripeExpr.getLHS());
	walk<isPreorder>(stripeExpr.getStripeFactor());
	} else if (auto negExpr = expr.dyn_cast<SDBMNegExpr>()) {
	walk<isPreorder>(negExpr.getVar());
	}
	if (!isPreorder)
	visit(expr);
	}
	};

	/// Overloaded arithmetic operators for SDBM expressions asserting that their
	/// arguments have the proper SDBM expression subtype. Perform canonicalization
	/// and constant folding on these expressions.
	namespace ops_assertions {

	/// Add two SDBM expressions. At least one of the expressions must be a
	/// constant or a negation, but both expressions cannot be negations
	/// simultaneously.
	SDBMExpr operator+(SDBMExpr lhs, SDBMExpr rhs);
	inline SDBMExpr operator+(SDBMExpr lhs, int64_t rhs) {
	return lhs + SDBMConstantExpr::get(lhs.getDialect(), rhs);
	}
	inline SDBMExpr operator+(int64_t lhs, SDBMExpr rhs) {
	return SDBMConstantExpr::get(rhs.getDialect(), lhs) + rhs;
	}

	/// Subtract an SDBM expression from another SDBM expression. Both expressions
	/// must not be difference expressions.
	SDBMExpr operator-(SDBMExpr lhs, SDBMExpr rhs);
	inline SDBMExpr operator-(SDBMExpr lhs, int64_t rhs) {
	return lhs - SDBMConstantExpr::get(lhs.getDialect(), rhs);
	}
	inline SDBMExpr operator-(int64_t lhs, SDBMExpr rhs) {
	return SDBMConstantExpr::get(rhs.getDialect(), lhs) - rhs;
	}

	/// Construct a stripe expression from a positive expression and a positive
	/// constant stripe factor.
	SDBMExpr stripe(SDBMExpr expr, SDBMExpr factor);
	inline SDBMExpr stripe(SDBMExpr expr, int64_t factor) {
	return stripe(expr, SDBMConstantExpr::get(expr.getDialect(), factor));
	}
	} // namespace ops_assertions

	} // end namespace mlir

	namespace llvm {
	// SDBMExpr hash just like pointers.
	template <> struct DenseMapInfo<mlir::SDBMExpr> {
	static mlir::SDBMExpr getEmptyKey() {
	auto pointer = llvm::DenseMapInfo<void >::getEmptyKey();
	return mlir::SDBMExpr(static_cast<mlir::SDBMExpr::ImplType *>(pointer));
	}
	static mlir::SDBMExpr getTombstoneKey() {
	auto pointer = llvm::DenseMapInfo<void >::getTombstoneKey();
	return mlir::SDBMExpr(static_cast<mlir::SDBMExpr::ImplType *>(pointer));
	}
	static unsigned getHashValue(mlir::SDBMExpr expr) {
	return expr.hash_value();
	}
	static bool isEqual(mlir::SDBMExpr lhs, mlir::SDBMExpr rhs) {
	return lhs == rhs;
	}
	};

	// SDBMDirectExpr hash just like pointers.
	template <> struct DenseMapInfo<mlir::SDBMDirectExpr> {
	static mlir::SDBMDirectExpr getEmptyKey() {
	auto pointer = llvm::DenseMapInfo<void >::getEmptyKey();
	return mlir::SDBMDirectExpr(
	static_cast<mlir::SDBMExpr::ImplType *>(pointer));
	}
	static mlir::SDBMDirectExpr getTombstoneKey() {
	auto pointer = llvm::DenseMapInfo<void >::getTombstoneKey();
	return mlir::SDBMDirectExpr(
	static_cast<mlir::SDBMExpr::ImplType *>(pointer));
	}
	static unsigned getHashValue(mlir::SDBMDirectExpr expr) {
	return expr.hash_value();
	}
	static bool isEqual(mlir::SDBMDirectExpr lhs, mlir::SDBMDirectExpr rhs) {
	return lhs == rhs;
	}
	};

	// SDBMTermExpr hash just like pointers.
	template <> struct DenseMapInfo<mlir::SDBMTermExpr> {
	static mlir::SDBMTermExpr getEmptyKey() {
	auto pointer = llvm::DenseMapInfo<void >::getEmptyKey();
	return mlir::SDBMTermExpr(static_cast<mlir::SDBMExpr::ImplType *>(pointer));
	}
	static mlir::SDBMTermExpr getTombstoneKey() {
	auto pointer = llvm::DenseMapInfo<void >::getTombstoneKey();
	return mlir::SDBMTermExpr(static_cast<mlir::SDBMExpr::ImplType *>(pointer));
	}
	static unsigned getHashValue(mlir::SDBMTermExpr expr) {
	return expr.hash_value();
	}
	static bool isEqual(mlir::SDBMTermExpr lhs, mlir::SDBMTermExpr rhs) {
	return lhs == rhs;
	}
	};

	// SDBMConstantExpr hash just like pointers.
	template <> struct DenseMapInfo<mlir::SDBMConstantExpr> {
	static mlir::SDBMConstantExpr getEmptyKey() {
	auto pointer = llvm::DenseMapInfo<void >::getEmptyKey();
	return mlir::SDBMConstantExpr(
	static_cast<mlir::SDBMExpr::ImplType *>(pointer));
	}
	static mlir::SDBMConstantExpr getTombstoneKey() {
	auto pointer = llvm::DenseMapInfo<void >::getTombstoneKey();
	return mlir::SDBMConstantExpr(
	static_cast<mlir::SDBMExpr::ImplType *>(pointer));
	}
	static unsigned getHashValue(mlir::SDBMConstantExpr expr) {
	return expr.hash_value();
	}
	static bool isEqual(mlir::SDBMConstantExpr lhs, mlir::SDBMConstantExpr rhs) {
	return lhs == rhs;
	}
	};
	} // namespace llvm

	#endif // MLIR_DIALECT_SDBM_SDBMEXPR_H

mlir/include/mlir/InitAllDialects.h

Show All 29 Lines
#include "mlir/Dialect/Math/IR/Math.h"		#include "mlir/Dialect/Math/IR/Math.h"
#include "mlir/Dialect/MemRef/IR/MemRef.h"		#include "mlir/Dialect/MemRef/IR/MemRef.h"
#include "mlir/Dialect/OpenACC/OpenACC.h"		#include "mlir/Dialect/OpenACC/OpenACC.h"
#include "mlir/Dialect/OpenMP/OpenMPDialect.h"		#include "mlir/Dialect/OpenMP/OpenMPDialect.h"
#include "mlir/Dialect/PDL/IR/PDL.h"		#include "mlir/Dialect/PDL/IR/PDL.h"
#include "mlir/Dialect/PDLInterp/IR/PDLInterp.h"		#include "mlir/Dialect/PDLInterp/IR/PDLInterp.h"
#include "mlir/Dialect/Quant/QuantOps.h"		#include "mlir/Dialect/Quant/QuantOps.h"
#include "mlir/Dialect/SCF/SCF.h"		#include "mlir/Dialect/SCF/SCF.h"
#include "mlir/Dialect/SDBM/SDBMDialect.h"
#include "mlir/Dialect/SPIRV/IR/SPIRVDialect.h"		#include "mlir/Dialect/SPIRV/IR/SPIRVDialect.h"
#include "mlir/Dialect/Shape/IR/Shape.h"		#include "mlir/Dialect/Shape/IR/Shape.h"
#include "mlir/Dialect/SparseTensor/IR/SparseTensor.h"		#include "mlir/Dialect/SparseTensor/IR/SparseTensor.h"
#include "mlir/Dialect/StandardOps/IR/Ops.h"		#include "mlir/Dialect/StandardOps/IR/Ops.h"
#include "mlir/Dialect/Tensor/IR/Tensor.h"		#include "mlir/Dialect/Tensor/IR/Tensor.h"
#include "mlir/Dialect/Tosa/IR/TosaOps.h"		#include "mlir/Dialect/Tosa/IR/TosaOps.h"
#include "mlir/Dialect/Vector/VectorOps.h"		#include "mlir/Dialect/Vector/VectorOps.h"
#include "mlir/Dialect/X86Vector/X86VectorDialect.h"		#include "mlir/Dialect/X86Vector/X86VectorDialect.h"
Show All 23 Lines	registry.insert<acc::OpenACCDialect,
pdl_interp::PDLInterpDialect,		pdl_interp::PDLInterpDialect,
quant::QuantizationDialect,		quant::QuantizationDialect,
spirv::SPIRVDialect,		spirv::SPIRVDialect,
StandardOpsDialect,		StandardOpsDialect,
arm_sve::ArmSVEDialect,		arm_sve::ArmSVEDialect,
vector::VectorDialect,		vector::VectorDialect,
NVVM::NVVMDialect,		NVVM::NVVMDialect,
ROCDL::ROCDLDialect,		ROCDL::ROCDLDialect,
SDBMDialect,
shape::ShapeDialect,		shape::ShapeDialect,
sparse_tensor::SparseTensorDialect,		sparse_tensor::SparseTensorDialect,
tensor::TensorDialect,		tensor::TensorDialect,
tosa::TosaDialect,		tosa::TosaDialect,
x86vector::X86VectorDialect>();		x86vector::X86VectorDialect>();
// clang-format on		// clang-format on
}		}

Show All 10 Lines

mlir/lib/Dialect/CMakeLists.txt

	Show All 11 Lines
	add_subdirectory(Math)			add_subdirectory(Math)
	add_subdirectory(MemRef)			add_subdirectory(MemRef)
	add_subdirectory(OpenACC)			add_subdirectory(OpenACC)
	add_subdirectory(OpenMP)			add_subdirectory(OpenMP)
	add_subdirectory(PDL)			add_subdirectory(PDL)
	add_subdirectory(PDLInterp)			add_subdirectory(PDLInterp)
	add_subdirectory(Quant)			add_subdirectory(Quant)
	add_subdirectory(SCF)			add_subdirectory(SCF)
	add_subdirectory(SDBM)
	add_subdirectory(Shape)			add_subdirectory(Shape)
	add_subdirectory(SparseTensor)			add_subdirectory(SparseTensor)
	add_subdirectory(SPIRV)			add_subdirectory(SPIRV)
	add_subdirectory(StandardOps)			add_subdirectory(StandardOps)
	add_subdirectory(Tensor)			add_subdirectory(Tensor)
	add_subdirectory(Tosa)			add_subdirectory(Tosa)
	add_subdirectory(Utils)			add_subdirectory(Utils)
	add_subdirectory(Vector)			add_subdirectory(Vector)
	Show All 15 Lines

mlir/lib/Dialect/SDBM/CMakeLists.txt

This file was deleted.

	add_mlir_dialect_library(MLIRSDBM
	SDBM.cpp
	SDBMDialect.cpp
	SDBMExpr.cpp

	ADDITIONAL_HEADER_DIRS
	${MLIR_MAIN_INCLUDE_DIR}/mlir/Dialect/SDBM

	LINK_LIBS PUBLIC
	MLIRIR
	)

mlir/lib/Dialect/SDBM/SDBM.cpp

This file was deleted.

	//===- SDBM.cpp - MLIR SDBM implementation --------------------------------===//
	//
	// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
	// See https://llvm.org/LICENSE.txt for license information.
	// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
	//
	//===----------------------------------------------------------------------===//
	//
	// A striped difference-bound matrix (SDBM) is a set in Z^N (or R^N) defined
	// as {(x_1, ... x_n) \| f(x_1, ... x_n) >= 0} where f is an SDBM expression.
	//
	//===----------------------------------------------------------------------===//

	#include "mlir/Dialect/SDBM/SDBM.h"
	#include "mlir/Dialect/SDBM/SDBMExpr.h"

	#include "llvm/ADT/DenseMap.h"
	#include "llvm/ADT/SetVector.h"
	#include "llvm/Support/FormatVariadic.h"
	#include "llvm/Support/raw_ostream.h"

	using namespace mlir;

	// Helper function for SDBM construction that collects information necessary to
	// start building an SDBM in one sweep. In particular, it records the largest
	// position of a dimension in `dim`, that of a symbol in `symbol` as well as
	// collects all unique stripe expressions in `stripes`. Uses SetVector to
	// ensure these expressions always have the same order.
	static void collectSDBMBuildInfo(SDBMExpr expr, int &dim, int &symbol,
	llvm::SmallSetVector<SDBMExpr, 8> &stripes) {
	struct Visitor : public SDBMVisitor<Visitor> {
	void visitDim(SDBMDimExpr dimExpr) {
	int p = dimExpr.getPosition();
	if (p > maxDimPosition)
	maxDimPosition = p;
	}
	void visitSymbol(SDBMSymbolExpr symbExpr) {
	int p = symbExpr.getPosition();
	if (p > maxSymbPosition)
	maxSymbPosition = p;
	}
	void visitStripe(SDBMStripeExpr stripeExpr) { stripes.insert(stripeExpr); }

	Visitor(llvm::SmallSetVector<SDBMExpr, 8> &stripes) : stripes(stripes) {}

	int maxDimPosition = -1;
	int maxSymbPosition = -1;
	llvm::SmallSetVector<SDBMExpr, 8> &stripes;
	};

	Visitor visitor(stripes);
	visitor.walkPostorder(expr);
	dim = std::max(dim, visitor.maxDimPosition);
	symbol = std::max(symbol, visitor.maxSymbPosition);
	}

	namespace {
	// Utility class for SDBMBuilder. Represents a value that can be inserted in
	// the SDB matrix that corresponds to "v0 - v1 + C <= 0", where v0 and v1 is
	// any combination of the positive and negative positions. Since multiple
	// variables can be declared equal to the same stripe expression, the
	// constraints on this expression must be reflected to all these variables. For
	// example, if
	// d0 = s0 # 42
	// d1 = s0 # 42
	// d2 = s1 # 2
	// d3 = s1 # 2
	// the constraint
	// s0 # 42 - s1 # 2 <= C
	// should be reflected in the DB matrix as
	// d0 - d2 <= C
	// d1 - d2 <= C
	// d0 - d3 <= C
	// d1 - d3 <= C
	// since the DB matrix has no knowledge of the transitive equality between d0,
	// d1 and s0 # 42 as well as between d2, d3 and s1 # 2. This knowledge can be
	// obtained by computing a transitive closure, which is impossible until the
	// DBM is actually built.
	struct SDBMBuilderResult {
	// Positions in the matrix of the variables taken with the "+" sign in the
	// difference expression, 0 if it is a constant rather than a variable.
	SmallVector<unsigned, 2> positivePos;

	// Positions in the matrix of the variables taken with the "-" sign in the
	// difference expression, 0 if it is a constant rather than a variable.
	SmallVector<unsigned, 2> negativePos;

	// Constant value in the difference expression.
	int64_t value = 0;
	};

	// Visitor for building an SDBM from SDBM expressions. After traversing an SDBM
	// expression, produces an update to the SDB matrix specifying the positions in
	// the matrix and the negated value that should be stored. Both the positive
	// and the negative positions may be lists of indices in cases where multiple
	// variables are equal to the same stripe expression. In such cases, the update
	// applies to the cross product of positions because elements involved in the
	// update are (transitively) equal and should have the same constraints, but we
	// may not have an explicit equality for them.
	struct SDBMBuilder : public SDBMVisitor<SDBMBuilder, SDBMBuilderResult> {
	public:
	// A difference expression produces both the positive and the negative
	// coordinate in the matrix, recursively traversing the LHS and the RHS. The
	// value is the difference between values obtained from LHS and RHS.
	SDBMBuilderResult visitDiff(SDBMDiffExpr diffExpr) {
	auto lhs = visit(diffExpr.getLHS());
	auto rhs = visit(diffExpr.getRHS());
	assert(lhs.negativePos.size() == 1 && lhs.negativePos[0] == 0 &&
	"unexpected negative expression in a difference expression");
	assert(rhs.negativePos.size() == 1 && lhs.negativePos[0] == 0 &&
	"unexpected negative expression in a difference expression");

	SDBMBuilderResult result;
	result.positivePos = lhs.positivePos;
	result.negativePos = rhs.positivePos;
	result.value = lhs.value - rhs.value;
	return result;
	}

	// An input expression is always taken with the "+" sign and therefore
	// produces a positive coordinate keeping the negative coordinate zero for an
	// eventual constant.
	SDBMBuilderResult visitInput(SDBMInputExpr expr) {
	SDBMBuilderResult r;
	r.positivePos.push_back(linearPosition(expr));
	r.negativePos.push_back(0);
	return r;
	}

	// A stripe expression is always equal to one or more variables, which may be
	// temporaries, and appears with a "+" sign in the SDBM expression tree. Take
	// the positions of the corresponding variables as positive coordinates.
	SDBMBuilderResult visitStripe(SDBMStripeExpr expr) {
	SDBMBuilderResult r;
	assert(pointExprToStripe.count(expr));
	r.positivePos = pointExprToStripe[expr];
	r.negativePos.push_back(0);
	return r;
	}

	// A constant expression has both coordinates at zero.
	SDBMBuilderResult visitConstant(SDBMConstantExpr expr) {
	SDBMBuilderResult r;
	r.positivePos.push_back(0);
	r.negativePos.push_back(0);
	r.value = expr.getValue();
	return r;
	}

	// A negation expression swaps the positive and the negative coordinates
	// and also negates the constant value.
	SDBMBuilderResult visitNeg(SDBMNegExpr expr) {
	SDBMBuilderResult result = visit(expr.getVar());
	std::swap(result.positivePos, result.negativePos);
	result.value = -result.value;
	return result;
	}

	// The RHS of a sum expression must be a constant and therefore must have both
	// positive and negative coordinates at zero. Take the sum of the values
	// between LHS and RHS and keep LHS coordinates.
	SDBMBuilderResult visitSum(SDBMSumExpr expr) {
	auto lhs = visit(expr.getLHS());
	auto rhs = visit(expr.getRHS());
	for (auto pos : rhs.negativePos) {
	(void)pos;
	assert(pos == 0 && "unexpected variable on the RHS of SDBM sum");
	}
	for (auto pos : rhs.positivePos) {
	(void)pos;
	assert(pos == 0 && "unexpected variable on the RHS of SDBM sum");
	}

	lhs.value += rhs.value;
	return lhs;
	}

	SDBMBuilder(DenseMap<SDBMExpr, SmallVector<unsigned, 2>> &pointExprToStripe,
	function_ref<unsigned(SDBMInputExpr)> callback)
	: pointExprToStripe(pointExprToStripe), linearPosition(callback) {}

	DenseMap<SDBMExpr, SmallVector<unsigned, 2>> &pointExprToStripe;
	function_ref<unsigned(SDBMInputExpr)> linearPosition;
	};
	} // namespace

	SDBM SDBM::get(ArrayRef<SDBMExpr> inequalities, ArrayRef<SDBMExpr> equalities) {
	SDBM result;

	// TODO: consider detecting equalities in the list of inequalities.
	// This is potentially expensive and requires to
	// - create a list of negated inequalities (may allocate under lock);
	// - perform a pairwise comparison of direct and negated inequalities;
	// - copy the lists of equalities and inequalities, and move entries between
	// them;
	// only for the purpose of sparing a temporary variable in cases where an
	// implicit equality between a variable and a stripe expression is present in
	// the input.

	// Do the first sweep over (in)equalities to collect the information necessary
	// to allocate the SDB matrix (number of dimensions, symbol and temporary
	// variables required for stripe expressions).
	llvm::SmallSetVector<SDBMExpr, 8> stripes;
	int maxDim = -1;
	int maxSymbol = -1;
	for (auto expr : inequalities)
	collectSDBMBuildInfo(expr, maxDim, maxSymbol, stripes);
	for (auto expr : equalities)
	collectSDBMBuildInfo(expr, maxDim, maxSymbol, stripes);
	// Indexing of dimensions starts with 0, obtain the number of dimensions by
	// incrementing the maximal position of the dimension seen in expressions.
	result.numDims = maxDim + 1;
	result.numSymbols = maxSymbol + 1;
	result.numTemporaries = 0;

	// Helper function that returns the position of the variable represented by
	// an SDBM input expression.
	auto linearPosition = [result](SDBMInputExpr expr) {
	if (expr.isa<SDBMDimExpr>())
	return result.getDimPosition(expr.getPosition());
	return result.getSymbolPosition(expr.getPosition());
	};

	// Check if some stripe expressions are equal to another variable. In
	// particular, look for the equalities of the form
	// d0 - stripe-expression = 0, or
	// stripe-expression - d0 = 0.
	// There may be multiple variables that are equal to the same stripe
	// expression. Keep track of those in pointExprToStripe.
	// There may also be multiple stripe expressions equal to the same variable.
	// Introduce a temporary variable for each of those.
	DenseMap<SDBMExpr, SmallVector<unsigned, 2>> pointExprToStripe;
	unsigned numTemporaries = 0;

	auto updateStripePointMaps = [&numTemporaries, &result, &pointExprToStripe,
	linearPosition](SDBMInputExpr input,
	SDBMExpr expr) {
	unsigned position = linearPosition(input);
	if (result.stripeToPoint.count(position) &&
	result.stripeToPoint[position] != expr) {
	position = result.getNumVariables() + numTemporaries++;
	}
	pointExprToStripe[expr].push_back(position);
	result.stripeToPoint.insert(std::make_pair(position, expr));
	};

	for (auto eq : equalities) {
	auto diffExpr = eq.dyn_cast<SDBMDiffExpr>();
	if (!diffExpr)
	continue;

	auto lhs = diffExpr.getLHS();
	auto rhs = diffExpr.getRHS();
	auto lhsInput = lhs.dyn_cast<SDBMInputExpr>();
	auto rhsInput = rhs.dyn_cast<SDBMInputExpr>();

	if (lhsInput && stripes.count(rhs))
	updateStripePointMaps(lhsInput, rhs);
	if (rhsInput && stripes.count(lhs))
	updateStripePointMaps(rhsInput, lhs);
	}

	// Assign the remaining stripe expressions to temporary variables. These
	// expressions are the ones that could not be associated with an existing
	// variable in the previous step.
	for (auto expr : stripes) {
	if (pointExprToStripe.count(expr))
	continue;
	unsigned position = result.getNumVariables() + numTemporaries++;
	pointExprToStripe[expr].push_back(position);
	result.stripeToPoint.insert(std::make_pair(position, expr));
	}

	// Create the DBM matrix, initialized to infinity values for the least tight
	// possible bound (x - y <= infinity is always true).
	result.numTemporaries = numTemporaries;
	result.matrix.resize(result.getNumVariables() * result.getNumVariables(),
	IntInfty::infinity());

	SDBMBuilder builder(pointExprToStripe, linearPosition);

	// Only keep the tightest constraint. Since we transform everything into
	// less-than-or-equals-to inequalities, keep the smallest constant. For
	// example, if we have d0 - d1 <= 42 and d0 - d1 <= 2, we keep the latter.
	// Note that the input expressions are in the shape of d0 - d1 + -42 <= 0
	// so we negate the value before storing it.
	// In case where the positive and the negative positions are equal, the
	// corresponding expression has the form d0 - d0 + -42 <= 0. If the constant
	// value is positive, the set defined by SDBM is trivially empty. We store
	// this value anyway and continue processing to maintain the correspondence
	// between the matrix form and the list-of-SDBMExpr form.
	// TODO: we may want to reconsider this once we have canonicalization
	// or simplification in place
	auto updateMatrix = [](SDBM &sdbm, const SDBMBuilderResult &r) {
	for (auto positivePos : r.positivePos) {
	for (auto negativePos : r.negativePos) {
	auto &m = sdbm.at(negativePos, positivePos);
	m = m < -r.value ? m : -r.value;
	}
	}
	};

	// Do the second sweep on (in)equalities, updating the SDB matrix to reflect
	// the constraints.
	for (auto ineq : inequalities)
	updateMatrix(result, builder.visit(ineq));

	// An equality f(x) = 0 is represented as a pair of inequalities {f(x) >= 0;
	// f(x) <= 0} or, alternatively, {-f(x) <= 0 and f(x) <= 0}.
	for (auto eq : equalities) {
	updateMatrix(result, builder.visit(eq));
	updateMatrix(result, builder.visit(-eq));
	}

	// Add the inequalities induced by stripe equalities.
	// t = x # C => t <= x <= t + C - 1
	// which is equivalent to
	// {t - x <= 0;
	// x - t - (C - 1) <= 0}.
	for (const auto &pair : result.stripeToPoint) {
	auto stripe = pair.second.cast<SDBMStripeExpr>();
	SDBMBuilderResult update = builder.visit(stripe.getLHS());
	assert(update.negativePos.size() == 1 && update.negativePos[0] == 0 &&
	"unexpected negated variable in stripe expression");
	assert(update.value == 0 &&
	"unexpected non-zero value in stripe expression");
	update.negativePos.clear();
	update.negativePos.push_back(pair.first);
	update.value = -(stripe.getStripeFactor().getValue() - 1);
	updateMatrix(result, update);

	std::swap(update.negativePos, update.positivePos);
	update.value = 0;
	updateMatrix(result, update);
	}

	return result;
	}

	// Given a row and a column position in the square DBM, insert one equality
	// or up to two inequalities that correspond the entries (col, row) and (row,
	// col) in the DBM. `rowExpr` and `colExpr` contain the expressions such that
	// colExpr - rowExpr <= V where V is the value at (row, col) in the DBM.
	// If one of the expressions is derived from another using a stripe operation,
	// check if the inequalities induced by the stripe operation subsume the
	// inequalities defined in the DBM and if so, elide these inequalities.
	void SDBM::convertDBMElement(unsigned row, unsigned col, SDBMTermExpr rowExpr,
	SDBMTermExpr colExpr,
	SmallVectorImpl<SDBMExpr> &inequalities,
	SmallVectorImpl<SDBMExpr> &equalities) {
	using ops_assertions::operator+;
	using ops_assertions::operator-;

	auto diffIJValue = at(col, row);
	auto diffJIValue = at(row, col);

	// If symmetric entries are opposite, the corresponding expressions are equal.
	if (diffIJValue.isFinite() &&
	diffIJValue.getValue() == -diffJIValue.getValue()) {
	equalities.push_back(rowExpr - colExpr - diffIJValue.getValue());
	return;
	}

	// Given an inequality x0 - x1 <= A, check if x0 is a stripe variable derived
	// from x1: x0 = x1 # B. If so, it would imply the constraints
	// x0 <= x1 <= x0 + (B - 1) <=> x0 - x1 <= 0 and x1 - x0 <= (B - 1).
	// Therefore, if A >= 0, this inequality is subsumed by that implied
	// by the stripe equality and thus can be elided.
	// Similarly, check if x1 is a stripe variable derived from x0: x1 = x0 # C.
	// If so, it would imply the constraints x1 <= x0 <= x1 + (C - 1) <=>
	// <=> x1 - x0 <= 0 and x0 - x1 <= (C - 1). Therefore, if A >= (C - 1), this
	// inequality can be elided.
	//
	// Note: x0 and x1 may be a stripe expressions themselves, we rely on stripe
	// expressions being stored without temporaries on the RHS and being passed
	// into this function as is.
	auto canElide = [this](unsigned x0, unsigned x1, SDBMExpr x0Expr,
	SDBMExpr x1Expr, int64_t value) {
	if (stripeToPoint.count(x0)) {
	auto stripe = stripeToPoint[x0].cast<SDBMStripeExpr>();
	SDBMDirectExpr var = stripe.getLHS();
	if (x1Expr == var && value >= 0)
	return true;
	}
	if (stripeToPoint.count(x1)) {
	auto stripe = stripeToPoint[x1].cast<SDBMStripeExpr>();
	SDBMDirectExpr var = stripe.getLHS();
	if (x0Expr == var && value >= stripe.getStripeFactor().getValue() - 1)
	return true;
	}
	return false;
	};

	// Check row - col.
	if (diffIJValue.isFinite() &&
	!canElide(row, col, rowExpr, colExpr, diffIJValue.getValue())) {
	inequalities.push_back(rowExpr - colExpr - diffIJValue.getValue());
	}
	// Check col - row.
	if (diffJIValue.isFinite() &&
	!canElide(col, row, colExpr, rowExpr, diffJIValue.getValue())) {
	inequalities.push_back(colExpr - rowExpr - diffJIValue.getValue());
	}
	}

	// The values on the main diagonal correspond to the upper bound on the
	// difference between a variable and itself: d0 - d0 <= C, or alternatively
	// to -C <= 0. Only construct the inequalities when C is negative, which
	// are trivially false but necessary for the returned system of inequalities
	// to indicate that the set it defines is empty.
	void SDBM::convertDBMDiagonalElement(unsigned pos, SDBMTermExpr expr,
	SmallVectorImpl<SDBMExpr> &inequalities) {
	auto selfDifference = at(pos, pos);
	if (selfDifference.isFinite() && selfDifference < 0) {
	auto selfDifferenceValueExpr =
	SDBMConstantExpr::get(expr.getDialect(), -selfDifference.getValue());
	inequalities.push_back(selfDifferenceValueExpr);
	}
	}

	void SDBM::getSDBMExpressions(SDBMDialect *dialect,
	SmallVectorImpl<SDBMExpr> &inequalities,
	SmallVectorImpl<SDBMExpr> &equalities) {
	using ops_assertions::operator-;
	using ops_assertions::operator+;

	// Helper function that creates an SDBMInputExpr given the linearized position
	// of variable in the DBM.
	auto getInput = [dialect, this](unsigned matrixPos) -> SDBMInputExpr {
	if (matrixPos < numDims)
	return SDBMDimExpr::get(dialect, matrixPos);
	return SDBMSymbolExpr::get(dialect, matrixPos - numDims);
	};

	// The top-left value corresponds to inequality 0 <= C. If C is negative, the
	// set defined by SDBM is trivially empty and we add the constraint -C <= 0 to
	// the list of inequalities. Otherwise, the constraint is trivially true and
	// we ignore it.
	auto difference = at(0, 0);
	if (difference.isFinite() && difference < 0) {
	inequalities.push_back(
	SDBMConstantExpr::get(dialect, -difference.getValue()));
	}

	// Traverse the segment of the matrix that involves non-temporary variables.
	unsigned numTrueVariables = numDims + numSymbols;
	for (unsigned i = 0; i < numTrueVariables; ++i) {
	// The first row and column represent numerical upper and lower bound on
	// each variable. Transform them into inequalities if they are finite.
	auto upperBound = at(0, 1 + i);
	auto lowerBound = at(1 + i, 0);
	auto inputExpr = getInput(i);
	if (upperBound.isFinite() &&
	upperBound.getValue() == -lowerBound.getValue()) {
	equalities.push_back(inputExpr - upperBound.getValue());
	} else if (upperBound.isFinite()) {
	inequalities.push_back(inputExpr - upperBound.getValue());
	} else if (lowerBound.isFinite()) {
	inequalities.push_back(-inputExpr - lowerBound.getValue());
	}

	// Introduce trivially false inequalities if required by diagonal elements.
	convertDBMDiagonalElement(1 + i, inputExpr, inequalities);

	// Introduce equalities or inequalities between non-temporary variables.
	for (unsigned j = 0; j < i; ++j) {
	convertDBMElement(1 + i, 1 + j, getInput(i), getInput(j), inequalities,
	equalities);
	}
	}

	// Add equalities for stripe expressions that define non-temporary
	// variables. Temporary variables will be substituted into their uses and
	// should not appear in the resulting equalities.
	for (const auto &stripePair : stripeToPoint) {
	unsigned position = stripePair.first;
	if (position < 1 + numTrueVariables) {
	equalities.push_back(getInput(position - 1) - stripePair.second);
	}
	}

	// Add equalities / inequalities involving temporaries by replacing the
	// temporaries with stripe expressions that define them.
	for (unsigned i = 1 + numTrueVariables, e = getNumVariables(); i < e; ++i) {
	// Mixed constraints involving one temporary (j) and one non-temporary (i)
	// variable.
	for (unsigned j = 0; j < numTrueVariables; ++j) {
	convertDBMElement(i, 1 + j, stripeToPoint[i].cast<SDBMStripeExpr>(),
	getInput(j), inequalities, equalities);
	}

	// Constraints involving only temporary variables.
	for (unsigned j = 1 + numTrueVariables; j < i; ++j) {
	convertDBMElement(i, j, stripeToPoint[i].cast<SDBMStripeExpr>(),
	stripeToPoint[j].cast<SDBMStripeExpr>(), inequalities,
	equalities);
	}

	// Introduce trivially false inequalities if required by diagonal elements.
	convertDBMDiagonalElement(i, stripeToPoint[i].cast<SDBMStripeExpr>(),
	inequalities);
	}
	}

	void SDBM::print(raw_ostream &os) {
	unsigned numVariables = getNumVariables();

	// Helper function that prints the name of the variable given its linearized
	// position in the DBM.
	auto getVarName = [this](unsigned matrixPos) -> std::string {
	if (matrixPos == 0)
	return "cst";
	matrixPos -= 1;
	if (matrixPos < numDims)
	return std::string(llvm::formatv("d{0}", matrixPos));
	matrixPos -= numDims;
	if (matrixPos < numSymbols)
	return std::string(llvm::formatv("s{0}", matrixPos));
	matrixPos -= numSymbols;
	return std::string(llvm::formatv("t{0}", matrixPos));
	};

	// Header row.
	os << " cst";
	for (unsigned i = 1; i < numVariables; ++i) {
	os << llvm::formatv(" {0,4}", getVarName(i));
	}
	os << '\n';

	// Data rows.
	for (unsigned i = 0; i < numVariables; ++i) {
	os << llvm::formatv("{0,-4}", getVarName(i));
	for (unsigned j = 0; j < numVariables; ++j) {
	IntInfty value = operator()(i, j);
	if (!value.isFinite())
	os << " inf";
	else
	os << llvm::formatv(" {0,4}", value.getValue());
	}
	os << '\n';
	}

	// Explanation of temporaries.
	for (const auto &pair : stripeToPoint) {
	os << getVarName(pair.first) << " = ";
	pair.second.print(os);
	os << '\n';
	}
	}

	void SDBM::dump() { print(llvm::errs()); }

mlir/lib/Dialect/SDBM/SDBMDialect.cpp

This file was deleted.

	//===- SDBMDialect.cpp - MLIR SDBM Dialect --------------------------------===//
	//
	// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
	// See https://llvm.org/LICENSE.txt for license information.
	// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
	//
	//===----------------------------------------------------------------------===//

	#include "mlir/Dialect/SDBM/SDBMDialect.h"
	#include "SDBMExprDetail.h"

	using namespace mlir;

	SDBMDialect::SDBMDialect(MLIRContext *context)
	: Dialect(getDialectNamespace(), context, TypeID::get<SDBMDialect>()) {
	uniquer.registerParametricStorageType<detail::SDBMBinaryExprStorage>();
	uniquer.registerParametricStorageType<detail::SDBMConstantExprStorage>();
	uniquer.registerParametricStorageType<detail::SDBMDiffExprStorage>();
	uniquer.registerParametricStorageType<detail::SDBMNegExprStorage>();
	uniquer.registerParametricStorageType<detail::SDBMTermExprStorage>();
	}

	SDBMDialect::~SDBMDialect() = default;

mlir/lib/Dialect/SDBM/SDBMExpr.cpp

This file was deleted.

	//===- SDBMExpr.cpp - MLIR SDBM Expression implementation -----------------===//
	//
	// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
	// See https://llvm.org/LICENSE.txt for license information.
	// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
	//
	//===----------------------------------------------------------------------===//
	//
	// A striped difference-bound matrix (SDBM) expression is a constant expression,
	// an identifier, a binary expression with constant RHS and +, stripe operators
	// or a difference expression between two identifiers.
	//
	//===----------------------------------------------------------------------===//

	#include "mlir/Dialect/SDBM/SDBMExpr.h"
	#include "SDBMExprDetail.h"
	#include "mlir/Dialect/SDBM/SDBMDialect.h"
	#include "mlir/IR/AffineExpr.h"
	#include "mlir/IR/AffineExprVisitor.h"

	#include "llvm/Support/raw_ostream.h"

	using namespace mlir;

	namespace {
	/// A simple compositional matcher for AffineExpr
	///
	/// Example usage:
	///
	/// ```c++
	/// AffineExprMatcher x, C, m;
	/// AffineExprMatcher pattern1 = ((x % C) * m) + x;
	/// AffineExprMatcher pattern2 = x + ((x % C) * m);
	/// if (pattern1.match(expr) \|\| pattern2.match(expr)) {
	/// ...
	/// }
	/// ```
	class AffineExprMatcherStorage;
	class AffineExprMatcher {
	public:
	AffineExprMatcher();
	AffineExprMatcher(const AffineExprMatcher &other);

	AffineExprMatcher operator+(AffineExprMatcher other) {
	return AffineExprMatcher(AffineExprKind::Add, *this, other);
	}
	AffineExprMatcher operator*(AffineExprMatcher other) {
	return AffineExprMatcher(AffineExprKind::Mul, *this, other);
	}
	AffineExprMatcher floorDiv(AffineExprMatcher other) {
	return AffineExprMatcher(AffineExprKind::FloorDiv, *this, other);
	}
	AffineExprMatcher ceilDiv(AffineExprMatcher other) {
	return AffineExprMatcher(AffineExprKind::CeilDiv, *this, other);
	}
	AffineExprMatcher operator%(AffineExprMatcher other) {
	return AffineExprMatcher(AffineExprKind::Mod, *this, other);
	}

	AffineExpr match(AffineExpr expr);
	AffineExpr matched();
	Optional<int> getMatchedConstantValue();

	private:
	AffineExprMatcher(AffineExprKind k, AffineExprMatcher a, AffineExprMatcher b);
	AffineExprKind kind; // only used to match in binary op cases.
	// A shared_ptr allows multiple references to same matcher storage without
	// worrying about ownership or dealing with an arena. To be cleaned up if we
	// go with this.
	std::shared_ptr<AffineExprMatcherStorage> storage;
	};

	class AffineExprMatcherStorage {
	public:
	AffineExprMatcherStorage() {}
	AffineExprMatcherStorage(const AffineExprMatcherStorage &other)
	: subExprs(other.subExprs.begin(), other.subExprs.end()),
	matched(other.matched) {}
	AffineExprMatcherStorage(ArrayRef<AffineExprMatcher> exprs)
	: subExprs(exprs.begin(), exprs.end()) {}
	AffineExprMatcherStorage(AffineExprMatcher &a, AffineExprMatcher &b)
	: subExprs({a, b}) {}
	SmallVector<AffineExprMatcher, 0> subExprs;
	AffineExpr matched;
	};
	} // namespace

	AffineExprMatcher::AffineExprMatcher()
	: kind(AffineExprKind::Constant), storage(new AffineExprMatcherStorage()) {}

	AffineExprMatcher::AffineExprMatcher(const AffineExprMatcher &other)
	: kind(other.kind), storage(other.storage) {}

	Optional<int> AffineExprMatcher::getMatchedConstantValue() {
	if (auto cst = storage->matched.dyn_cast<AffineConstantExpr>())
	return cst.getValue();
	return None;
	}

	AffineExpr AffineExprMatcher::match(AffineExpr expr) {
	if (kind > AffineExprKind::LAST_AFFINE_BINARY_OP) {
	if (storage->matched)
	if (storage->matched != expr)
	return AffineExpr();
	storage->matched = expr;
	return storage->matched;
	}
	if (kind != expr.getKind()) {
	return AffineExpr();
	}
	if (auto bin = expr.dyn_cast<AffineBinaryOpExpr>()) {
	if (!storage->subExprs.empty() &&
	!storage->subExprs[0].match(bin.getLHS())) {
	return AffineExpr();
	}
	if (!storage->subExprs.empty() &&
	!storage->subExprs[1].match(bin.getRHS())) {
	return AffineExpr();
	}
	if (storage->matched)
	if (storage->matched != expr)
	return AffineExpr();
	storage->matched = expr;
	return storage->matched;
	}
	llvm_unreachable("binary expected");
	}

	AffineExpr AffineExprMatcher::matched() { return storage->matched; }

	AffineExprMatcher::AffineExprMatcher(AffineExprKind k, AffineExprMatcher a,
	AffineExprMatcher b)
	: kind(k), storage(new AffineExprMatcherStorage(a, b)) {
	storage->subExprs.push_back(a);
	storage->subExprs.push_back(b);
	}

	//===----------------------------------------------------------------------===//
	// SDBMExpr
	//===----------------------------------------------------------------------===//

	SDBMExprKind SDBMExpr::getKind() const { return impl->getKind(); }

	MLIRContext *SDBMExpr::getContext() const {
	return impl->dialect->getContext();
	}

	SDBMDialect *SDBMExpr::getDialect() const { return impl->dialect; }

	void SDBMExpr::print(raw_ostream &os) const {
	struct Printer : public SDBMVisitor<Printer> {
	Printer(raw_ostream &ostream) : prn(ostream) {}

	void visitSum(SDBMSumExpr expr) {
	visit(expr.getLHS());
	prn << " + ";
	visit(expr.getRHS());
	}
	void visitDiff(SDBMDiffExpr expr) {
	visit(expr.getLHS());
	prn << " - ";
	visit(expr.getRHS());
	}
	void visitDim(SDBMDimExpr expr) { prn << 'd' << expr.getPosition(); }
	void visitSymbol(SDBMSymbolExpr expr) { prn << 's' << expr.getPosition(); }
	void visitStripe(SDBMStripeExpr expr) {
	SDBMDirectExpr lhs = expr.getLHS();
	bool isTerm = lhs.isa<SDBMTermExpr>();
	if (!isTerm)
	prn << '(';
	visit(lhs);
	if (!isTerm)
	prn << ')';
	prn << " # ";
	visitConstant(expr.getStripeFactor());
	}
	void visitNeg(SDBMNegExpr expr) {
	bool isSum = expr.getVar().isa<SDBMSumExpr>();
	prn << '-';
	if (isSum)
	prn << '(';
	visit(expr.getVar());
	if (isSum)
	prn << ')';
	}
	void visitConstant(SDBMConstantExpr expr) { prn << expr.getValue(); }

	raw_ostream &prn;
	};
	Printer printer(os);
	printer.visit(*this);
	}

	void SDBMExpr::dump() const {
	print(llvm::errs());
	llvm::errs() << '\n';
	}

	namespace {
	// Helper class to perform negation of an SDBM expression.
	struct SDBMNegator : public SDBMVisitor<SDBMNegator, SDBMExpr> {
	// Any term expression is wrapped into a negation expression.
	// -(x) = -x
	SDBMExpr visitDirect(SDBMDirectExpr expr) { return SDBMNegExpr::get(expr); }
	// A negation expression is unwrapped.
	// -(-x) = x
	SDBMExpr visitNeg(SDBMNegExpr expr) { return expr.getVar(); }
	// The value of the constant is negated.
	SDBMExpr visitConstant(SDBMConstantExpr expr) {
	return SDBMConstantExpr::get(expr.getDialect(), -expr.getValue());
	}

	// Terms of a difference are interchanged. Since only the LHS of a diff
	// expression is allowed to be a sum with a constant, we need to recreate the
	// sum with the negated value:
	// -((x + C) - y) = (y - C) - x.
	SDBMExpr visitDiff(SDBMDiffExpr expr) {
	// If the LHS is just a term, we can do straightforward interchange.
	if (auto term = expr.getLHS().dyn_cast<SDBMTermExpr>())
	return SDBMDiffExpr::get(expr.getRHS(), term);

	auto sum = expr.getLHS().cast<SDBMSumExpr>();
	auto cst = visitConstant(sum.getRHS()).cast<SDBMConstantExpr>();
	return SDBMDiffExpr::get(SDBMSumExpr::get(expr.getRHS(), cst),
	sum.getLHS());
	}
	};
	} // namespace

	SDBMExpr SDBMExpr::operator-() { return SDBMNegator().visit(*this); }

	//===----------------------------------------------------------------------===//
	// SDBMSumExpr
	//===----------------------------------------------------------------------===//

	SDBMSumExpr SDBMSumExpr::get(SDBMTermExpr lhs, SDBMConstantExpr rhs) {
	assert(lhs && "expected SDBM variable expression");
	assert(rhs && "expected SDBM constant");

	// If LHS of a sum is another sum, fold the constant RHS parts.
	if (auto lhsSum = lhs.dyn_cast<SDBMSumExpr>()) {
	lhs = lhsSum.getLHS();
	rhs = SDBMConstantExpr::get(rhs.getDialect(),
	rhs.getValue() + lhsSum.getRHS().getValue());
	}

	StorageUniquer &uniquer = lhs.getDialect()->getUniquer();
	return uniquer.get<detail::SDBMBinaryExprStorage>(
	/initFn=/{}, static_cast<unsigned>(SDBMExprKind::Add), lhs, rhs);
	}

	SDBMTermExpr SDBMSumExpr::getLHS() const {
	return static_cast<ImplType *>(impl)->lhs.cast<SDBMTermExpr>();
	}

	SDBMConstantExpr SDBMSumExpr::getRHS() const {
	return static_cast<ImplType *>(impl)->rhs;
	}

	AffineExpr SDBMExpr::getAsAffineExpr() const {
	struct Converter : public SDBMVisitor<Converter, AffineExpr> {
	AffineExpr visitSum(SDBMSumExpr expr) {
	AffineExpr lhs = visit(expr.getLHS()), rhs = visit(expr.getRHS());
	return lhs + rhs;
	}

	AffineExpr visitStripe(SDBMStripeExpr expr) {
	AffineExpr lhs = visit(expr.getLHS()),
	rhs = visit(expr.getStripeFactor());
	return lhs - (lhs % rhs);
	}

	AffineExpr visitDiff(SDBMDiffExpr expr) {
	AffineExpr lhs = visit(expr.getLHS()), rhs = visit(expr.getRHS());
	return lhs - rhs;
	}

	AffineExpr visitDim(SDBMDimExpr expr) {
	return getAffineDimExpr(expr.getPosition(), expr.getContext());
	}

	AffineExpr visitSymbol(SDBMSymbolExpr expr) {
	return getAffineSymbolExpr(expr.getPosition(), expr.getContext());
	}

	AffineExpr visitNeg(SDBMNegExpr expr) {
	return getAffineBinaryOpExpr(AffineExprKind::Mul,
	getAffineConstantExpr(-1, expr.getContext()),
	visit(expr.getVar()));
	}

	AffineExpr visitConstant(SDBMConstantExpr expr) {
	return getAffineConstantExpr(expr.getValue(), expr.getContext());
	}
	} converter;
	return converter.visit(*this);
	}

	// Given a direct expression `expr`, add the given constant to it and pass the
	// resulting expression to `builder` before returning its result. If the
	// expression is already a sum expression, update its constant and extract the
	// LHS if the constant becomes zero. Otherwise, construct a sum expression.
	template <typename Result>
	static Result addConstantAndSink(SDBMDirectExpr expr, int64_t constant,
	bool negated,
	function_ref<Result(SDBMDirectExpr)> builder) {
	SDBMDialect *dialect = expr.getDialect();
	if (auto sumExpr = expr.dyn_cast<SDBMSumExpr>()) {
	if (negated)
	constant = sumExpr.getRHS().getValue() - constant;
	else
	constant += sumExpr.getRHS().getValue();

	if (constant != 0) {
	auto sum = SDBMSumExpr::get(sumExpr.getLHS(),
	SDBMConstantExpr::get(dialect, constant));
	return builder(sum);
	} else {
	return builder(sumExpr.getLHS());
	}
	}
	if (constant != 0)
	return builder(SDBMSumExpr::get(
	expr.cast<SDBMTermExpr>(),
	SDBMConstantExpr::get(dialect, negated ? -constant : constant)));
	return expr;
	}

	// Construct an expression lhs + constant while maintaining the canonical form
	// of the SDBM expressions, in particular sink the constant expression to the
	// nearest sum expression in the left subtree of the expression tree.
	static SDBMExpr addConstant(SDBMVaryingExpr lhs, int64_t constant) {
	if (auto lhsDiff = lhs.dyn_cast<SDBMDiffExpr>())
	return addConstantAndSink<SDBMExpr>(
	lhsDiff.getLHS(), constant, /negated=/false,
	[lhsDiff](SDBMDirectExpr e) {
	return SDBMDiffExpr::get(e, lhsDiff.getRHS());
	});
	if (auto lhsNeg = lhs.dyn_cast<SDBMNegExpr>())
	return addConstantAndSink<SDBMExpr>(
	lhsNeg.getVar(), constant, /negated=/true,
	[](SDBMDirectExpr e) { return SDBMNegExpr::get(e); });
	if (auto lhsSum = lhs.dyn_cast<SDBMSumExpr>())
	return addConstantAndSink<SDBMExpr>(lhsSum, constant, /negated=/false,
	[](SDBMDirectExpr e) { return e; });
	if (constant != 0)
	return SDBMSumExpr::get(lhs.cast<SDBMTermExpr>(),
	SDBMConstantExpr::get(lhs.getDialect(), constant));
	return lhs;
	}

	// Build a difference expression given a direct expression and a negation
	// expression.
	static SDBMExpr buildDiffExpr(SDBMDirectExpr lhs, SDBMNegExpr rhs) {
	// Fold (x + C) - (x + D) = C - D.
	if (lhs.getTerm() == rhs.getVar().getTerm())
	return SDBMConstantExpr::get(
	lhs.getDialect(), lhs.getConstant() - rhs.getVar().getConstant());

	return SDBMDiffExpr::get(
	addConstantAndSink<SDBMDirectExpr>(lhs, -rhs.getVar().getConstant(),
	/negated=/false,
	[](SDBMDirectExpr e) { return e; }),
	rhs.getVar().getTerm());
	}

	// Try folding an expression (lhs + rhs) where at least one of the operands
	// contains a negated variable, i.e. is a negation or a difference expression.
	static SDBMExpr foldSumDiff(SDBMExpr lhs, SDBMExpr rhs) {
	// If exactly one of LHS, RHS is a negation expression, we can construct
	// a difference expression, which is a special kind in SDBM.
	auto lhsDirect = lhs.dyn_cast<SDBMDirectExpr>();
	auto rhsDirect = rhs.dyn_cast<SDBMDirectExpr>();
	auto lhsNeg = lhs.dyn_cast<SDBMNegExpr>();
	auto rhsNeg = rhs.dyn_cast<SDBMNegExpr>();

	if (lhsDirect && rhsNeg)
	return buildDiffExpr(lhsDirect, rhsNeg);
	if (lhsNeg && rhsDirect)
	return buildDiffExpr(rhsDirect, lhsNeg);

	// If a subexpression appears in a diff expression on the LHS(RHS) of a
	// sum expression where it also appears on the RHS(LHS) with the opposite
	// sign, we can simplify it away and obtain the SDBM form.
	auto lhsDiff = lhs.dyn_cast<SDBMDiffExpr>();
	auto rhsDiff = rhs.dyn_cast<SDBMDiffExpr>();

	// -(x + A) + ((x + B) - y) = -(y + (A - B))
	if (lhsNeg && rhsDiff &&
	lhsNeg.getVar().getTerm() == rhsDiff.getLHS().getTerm()) {
	int64_t constant =
	lhsNeg.getVar().getConstant() - rhsDiff.getLHS().getConstant();
	// RHS of the diff is a term expression, its sum with a constant is a direct
	// expression.
	return SDBMNegExpr::get(
	addConstant(rhsDiff.getRHS(), constant).cast<SDBMDirectExpr>());
	}

	// (x + A) + ((y + B) - x) = (y + B) + A.
	if (lhsDirect && rhsDiff && lhsDirect.getTerm() == rhsDiff.getRHS())
	return addConstant(rhsDiff.getLHS(), lhsDirect.getConstant());

	// ((x + A) - y) + (-(x + B)) = -(y + (B - A)).
	if (lhsDiff && rhsNeg &&
	lhsDiff.getLHS().getTerm() == rhsNeg.getVar().getTerm()) {
	int64_t constant =
	rhsNeg.getVar().getConstant() - lhsDiff.getLHS().getConstant();
	// RHS of the diff is a term expression, its sum with a constant is a direct
	// expression.
	return SDBMNegExpr::get(
	addConstant(lhsDiff.getRHS(), constant).cast<SDBMDirectExpr>());
	}

	// ((x + A) - y) + (y + B) = (x + A) + B.
	if (rhsDirect && lhsDiff && rhsDirect.getTerm() == lhsDiff.getRHS())
	return addConstant(lhsDiff.getLHS(), rhsDirect.getConstant());

	return {};
	}

	Optional<SDBMExpr> SDBMExpr::tryConvertAffineExpr(AffineExpr affine) {
	struct Converter : public AffineExprVisitor<Converter, SDBMExpr> {
	SDBMExpr visitAddExpr(AffineBinaryOpExpr expr) {
	auto lhs = visit(expr.getLHS()), rhs = visit(expr.getRHS());
	if (!lhs \|\| !rhs)
	return {};

	// In a "add" AffineExpr, the constant always appears on the right. If
	// there were two constants, they would have been folded away.
	assert(!lhs.isa<SDBMConstantExpr>() && "non-canonical affine expression");

	// If RHS is a constant, we can always extend the SDBM expression to
	// include it by sinking the constant into the nearest sum expression.
	if (auto rhsConstant = rhs.dyn_cast<SDBMConstantExpr>()) {
	int64_t constant = rhsConstant.getValue();
	auto varying = lhs.dyn_cast<SDBMVaryingExpr>();
	assert(varying && "unexpected uncanonicalized sum of constants");
	return addConstant(varying, constant);
	}

	// Try building a difference expression if one of the values is negated,
	// or check if a difference on either hand side cancels out the outer term
	// so as to remain correct within SDBM. Return null otherwise.
	return foldSumDiff(lhs, rhs);
	}

	SDBMExpr visitMulExpr(AffineBinaryOpExpr expr) {
	// Attempt to recover a stripe expression "x # C = (x floordiv C) * C".
	AffineExprMatcher x, C;
	AffineExprMatcher pattern = (x.floorDiv(C)) * C;
	if (pattern.match(expr)) {
	if (SDBMExpr converted = visit(x.matched())) {
	if (auto varConverted = converted.dyn_cast<SDBMTermExpr>())
	// TODO: return varConverted.stripe(C.getConstantValue());
	return SDBMStripeExpr::get(
	varConverted,
	SDBMConstantExpr::get(dialect,
	C.getMatchedConstantValue().getValue()));
	}
	}

	auto lhs = visit(expr.getLHS()), rhs = visit(expr.getRHS());
	if (!lhs \|\| !rhs)
	return {};

	// In a "mul" AffineExpr, the constant always appears on the right. If
	// there were two constants, they would have been folded away.
	assert(!lhs.isa<SDBMConstantExpr>() && "non-canonical affine expression");
	auto rhsConstant = rhs.dyn_cast<SDBMConstantExpr>();
	if (!rhsConstant)
	return {};

	// The only supported "multiplication" expression is an SDBM is dimension
	// negation, that is a product of dimension and constant -1.
	if (rhsConstant.getValue() != -1)
	return {};

	if (auto lhsVar = lhs.dyn_cast<SDBMTermExpr>())
	return SDBMNegExpr::get(lhsVar);
	if (auto lhsDiff = lhs.dyn_cast<SDBMDiffExpr>())
	return SDBMNegator().visitDiff(lhsDiff);

	// Other multiplications are not allowed in SDBM.
	return {};
	}

	SDBMExpr visitModExpr(AffineBinaryOpExpr expr) {
	auto lhs = visit(expr.getLHS()), rhs = visit(expr.getRHS());
	if (!lhs \|\| !rhs)
	return {};

	// 'mod' can only be converted to SDBM if its LHS is a direct expression
	// and its RHS is a constant. Then it `x mod c = x - x stripe c`.
	auto rhsConstant = rhs.dyn_cast<SDBMConstantExpr>();
	auto lhsVar = lhs.dyn_cast<SDBMDirectExpr>();
	if (!lhsVar \|\| !rhsConstant)
	return {};
	return SDBMDiffExpr::get(lhsVar,
	SDBMStripeExpr::get(lhsVar, rhsConstant));
	}

	// `a floordiv b = (a stripe b) / b`, but we have no division in SDBM
	SDBMExpr visitFloorDivExpr(AffineBinaryOpExpr expr) { return {}; }
	SDBMExpr visitCeilDivExpr(AffineBinaryOpExpr expr) { return {}; }

	// Dimensions, symbols and constants are converted trivially.
	SDBMExpr visitConstantExpr(AffineConstantExpr expr) {
	return SDBMConstantExpr::get(dialect, expr.getValue());
	}
	SDBMExpr visitDimExpr(AffineDimExpr expr) {
	return SDBMDimExpr::get(dialect, expr.getPosition());
	}
	SDBMExpr visitSymbolExpr(AffineSymbolExpr expr) {
	return SDBMSymbolExpr::get(dialect, expr.getPosition());
	}

	SDBMDialect *dialect;
	} converter;
	converter.dialect = affine.getContext()->getOrLoadDialect<SDBMDialect>();

	if (auto result = converter.visit(affine))
	return result;
	return None;
	}

	//===----------------------------------------------------------------------===//
	// SDBMDiffExpr
	//===----------------------------------------------------------------------===//

	SDBMDiffExpr SDBMDiffExpr::get(SDBMDirectExpr lhs, SDBMTermExpr rhs) {
	assert(lhs && "expected SDBM dimension");
	assert(rhs && "expected SDBM dimension");

	StorageUniquer &uniquer = lhs.getDialect()->getUniquer();
	return uniquer.get<detail::SDBMDiffExprStorage>(/initFn=/{}, lhs, rhs);
	}

	SDBMDirectExpr SDBMDiffExpr::getLHS() const {
	return static_cast<ImplType *>(impl)->lhs;
	}

	SDBMTermExpr SDBMDiffExpr::getRHS() const {
	return static_cast<ImplType *>(impl)->rhs;
	}

	//===----------------------------------------------------------------------===//
	// SDBMDirectExpr
	//===----------------------------------------------------------------------===//

	SDBMTermExpr SDBMDirectExpr::getTerm() {
	if (auto sum = dyn_cast<SDBMSumExpr>())
	return sum.getLHS();
	return cast<SDBMTermExpr>();
	}

	int64_t SDBMDirectExpr::getConstant() {
	if (auto sum = dyn_cast<SDBMSumExpr>())
	return sum.getRHS().getValue();
	return 0;
	}

	//===----------------------------------------------------------------------===//
	// SDBMStripeExpr
	//===----------------------------------------------------------------------===//

	SDBMStripeExpr SDBMStripeExpr::get(SDBMDirectExpr var,
	SDBMConstantExpr stripeFactor) {
	assert(var && "expected SDBM variable expression");
	assert(stripeFactor && "expected non-null stripe factor");
	if (stripeFactor.getValue() <= 0)
	llvm::report_fatal_error("non-positive stripe factor");

	StorageUniquer &uniquer = var.getDialect()->getUniquer();
	return uniquer.get<detail::SDBMBinaryExprStorage>(
	/initFn=/{}, static_cast<unsigned>(SDBMExprKind::Stripe), var,
	stripeFactor);
	}

	SDBMDirectExpr SDBMStripeExpr::getLHS() const {
	if (SDBMVaryingExpr lhs = static_cast<ImplType *>(impl)->lhs)
	return lhs.cast<SDBMDirectExpr>();
	return {};
	}

	SDBMConstantExpr SDBMStripeExpr::getStripeFactor() const {
	return static_cast<ImplType *>(impl)->rhs;
	}

	//===----------------------------------------------------------------------===//
	// SDBMInputExpr
	//===----------------------------------------------------------------------===//

	unsigned SDBMInputExpr::getPosition() const {
	return static_cast<ImplType *>(impl)->position;
	}

	//===----------------------------------------------------------------------===//
	// SDBMDimExpr
	//===----------------------------------------------------------------------===//

	SDBMDimExpr SDBMDimExpr::get(SDBMDialect *dialect, unsigned position) {
	assert(dialect && "expected non-null dialect");

	auto assignDialect = [dialect](detail::SDBMTermExprStorage *storage) {
	storage->dialect = dialect;
	};

	StorageUniquer &uniquer = dialect->getUniquer();
	return uniquer.get<detail::SDBMTermExprStorage>(
	assignDialect, static_cast<unsigned>(SDBMExprKind::DimId), position);
	}

	//===----------------------------------------------------------------------===//
	// SDBMSymbolExpr
	//===----------------------------------------------------------------------===//

	SDBMSymbolExpr SDBMSymbolExpr::get(SDBMDialect *dialect, unsigned position) {
	assert(dialect && "expected non-null dialect");

	auto assignDialect = [dialect](detail::SDBMTermExprStorage *storage) {
	storage->dialect = dialect;
	};

	StorageUniquer &uniquer = dialect->getUniquer();
	return uniquer.get<detail::SDBMTermExprStorage>(
	assignDialect, static_cast<unsigned>(SDBMExprKind::SymbolId), position);
	}

	//===----------------------------------------------------------------------===//
	// SDBMConstantExpr
	//===----------------------------------------------------------------------===//

	SDBMConstantExpr SDBMConstantExpr::get(SDBMDialect *dialect, int64_t value) {
	assert(dialect && "expected non-null dialect");

	auto assignCtx = [dialect](detail::SDBMConstantExprStorage *storage) {
	storage->dialect = dialect;
	};

	StorageUniquer &uniquer = dialect->getUniquer();
	return uniquer.get<detail::SDBMConstantExprStorage>(assignCtx, value);
	}

	int64_t SDBMConstantExpr::getValue() const {
	return static_cast<ImplType *>(impl)->constant;
	}

	//===----------------------------------------------------------------------===//
	// SDBMNegExpr
	//===----------------------------------------------------------------------===//

	SDBMNegExpr SDBMNegExpr::get(SDBMDirectExpr var) {
	assert(var && "expected non-null SDBM direct expression");

	StorageUniquer &uniquer = var.getDialect()->getUniquer();
	return uniquer.get<detail::SDBMNegExprStorage>(/initFn=/{}, var);
	}

	SDBMDirectExpr SDBMNegExpr::getVar() const {
	return static_cast<ImplType *>(impl)->expr;
	}

	SDBMExpr mlir::ops_assertions::operator+(SDBMExpr lhs, SDBMExpr rhs) {
	if (auto folded = foldSumDiff(lhs, rhs))
	return folded;
	assert(!(lhs.isa<SDBMNegExpr>() && rhs.isa<SDBMNegExpr>()) &&
	"a sum of negated expressions is a negation of a sum of variables and "
	"not a correct SDBM");

	// Fold (x - y) + (y - x) = 0.
	auto lhsDiff = lhs.dyn_cast<SDBMDiffExpr>();
	auto rhsDiff = rhs.dyn_cast<SDBMDiffExpr>();
	if (lhsDiff && rhsDiff) {
	if (lhsDiff.getLHS() == rhsDiff.getRHS() &&
	lhsDiff.getRHS() == rhsDiff.getLHS())
	return SDBMConstantExpr::get(lhs.getDialect(), 0);
	}

	// If LHS is a constant and RHS is not, swap the order to get into a supported
	// sum case. From now on, RHS must be a constant.
	auto lhsConstant = lhs.dyn_cast<SDBMConstantExpr>();
	auto rhsConstant = rhs.dyn_cast<SDBMConstantExpr>();
	if (!rhsConstant && lhsConstant) {
	std::swap(lhs, rhs);
	std::swap(lhsConstant, rhsConstant);
	}
	assert(rhsConstant && "at least one operand must be a constant");

	// Constant-fold if LHS is also a constant.
	if (lhsConstant)
	return SDBMConstantExpr::get(lhs.getDialect(), lhsConstant.getValue() +
	rhsConstant.getValue());
	return addConstant(lhs.cast<SDBMVaryingExpr>(), rhsConstant.getValue());
	}

	SDBMExpr mlir::ops_assertions::operator-(SDBMExpr lhs, SDBMExpr rhs) {
	// Fold x - x == 0.
	if (lhs == rhs)
	return SDBMConstantExpr::get(lhs.getDialect(), 0);

	// LHS and RHS may be constants.
	auto lhsConstant = lhs.dyn_cast<SDBMConstantExpr>();
	auto rhsConstant = rhs.dyn_cast<SDBMConstantExpr>();

	// Constant fold if both LHS and RHS are constants.
	if (lhsConstant && rhsConstant)
	return SDBMConstantExpr::get(lhs.getDialect(), lhsConstant.getValue() -
	rhsConstant.getValue());

	// Replace a difference with a sum with a negated value if one of LHS and RHS
	// is a constant:
	// x - C == x + (-C);
	// C - x == -x + C.
	// This calls into operator+ for further simplification.
	if (rhsConstant)
	return lhs + (-rhsConstant);
	if (lhsConstant)
	return -rhs + lhsConstant;

	return buildDiffExpr(lhs.cast<SDBMDirectExpr>(), (-rhs).cast<SDBMNegExpr>());
	}

	SDBMExpr mlir::ops_assertions::stripe(SDBMExpr expr, SDBMExpr factor) {
	auto constantFactor = factor.cast<SDBMConstantExpr>();
	assert(constantFactor.getValue() > 0 && "non-positive stripe");

	// Fold x # 1 = x.
	if (constantFactor.getValue() == 1)
	return expr;

	return SDBMStripeExpr::get(expr.cast<SDBMDirectExpr>(), constantFactor);
	}

mlir/lib/Dialect/SDBM/SDBMExprDetail.h

This file was deleted.

	//===- SDBMExprDetail.h - MLIR SDBM Expression storage details --- C++ --===//
	//
	// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
	// See https://llvm.org/LICENSE.txt for license information.
	// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
	//
	//===----------------------------------------------------------------------===//
	//
	// This holds implementation details of SDBMExpr, in particular underlying
	// storage types.
	//
	//===----------------------------------------------------------------------===//

	#ifndef MLIR_IR_SDBMEXPRDETAIL_H
	#define MLIR_IR_SDBMEXPRDETAIL_H

	#include "mlir/Dialect/SDBM/SDBMExpr.h"
	#include "mlir/Support/StorageUniquer.h"

	namespace mlir {

	class SDBMDialect;

	namespace detail {

	// Base storage class for SDBMExpr.
	struct SDBMExprStorage : public StorageUniquer::BaseStorage {
	SDBMExprKind getKind() { return kind; }

	SDBMDialect *dialect;
	SDBMExprKind kind;
	};

	// Storage class for SDBM sum and stripe expressions.
	struct SDBMBinaryExprStorage : public SDBMExprStorage {
	using KeyTy = std::tuple<unsigned, SDBMDirectExpr, SDBMConstantExpr>;

	bool operator==(const KeyTy &key) const {
	return static_cast<SDBMExprKind>(std::get<0>(key)) == kind &&
	std::get<1>(key) == lhs && std::get<2>(key) == rhs;
	}

	static SDBMBinaryExprStorage *
	construct(StorageUniquer::StorageAllocator &allocator, const KeyTy &key) {
	auto *result = allocator.allocate<SDBMBinaryExprStorage>();
	result->lhs = std::get<1>(key);
	result->rhs = std::get<2>(key);
	result->dialect = result->lhs.getDialect();
	result->kind = static_cast<SDBMExprKind>(std::get<0>(key));
	return result;
	}

	SDBMDirectExpr lhs;
	SDBMConstantExpr rhs;
	};

	// Storage class for SDBM difference expressions.
	struct SDBMDiffExprStorage : public SDBMExprStorage {
	using KeyTy = std::pair<SDBMDirectExpr, SDBMTermExpr>;

	bool operator==(const KeyTy &key) const {
	return std::get<0>(key) == lhs && std::get<1>(key) == rhs;
	}

	static SDBMDiffExprStorage *
	construct(StorageUniquer::StorageAllocator &allocator, const KeyTy &key) {
	auto *result = allocator.allocate<SDBMDiffExprStorage>();
	result->lhs = std::get<0>(key);
	result->rhs = std::get<1>(key);
	result->dialect = result->lhs.getDialect();
	result->kind = SDBMExprKind::Diff;
	return result;
	}

	SDBMDirectExpr lhs;
	SDBMTermExpr rhs;
	};

	// Storage class for SDBM constant expressions.
	struct SDBMConstantExprStorage : public SDBMExprStorage {
	using KeyTy = int64_t;

	bool operator==(const KeyTy &key) const { return constant == key; }

	static SDBMConstantExprStorage *
	construct(StorageUniquer::StorageAllocator &allocator, const KeyTy &key) {
	auto *result = allocator.allocate<SDBMConstantExprStorage>();
	result->constant = key;
	result->kind = SDBMExprKind::Constant;
	return result;
	}

	int64_t constant;
	};

	// Storage class for SDBM dimension and symbol expressions.
	struct SDBMTermExprStorage : public SDBMExprStorage {
	using KeyTy = std::pair<unsigned, unsigned>;

	bool operator==(const KeyTy &key) const {
	return kind == static_cast<SDBMExprKind>(key.first) &&
	position == key.second;
	}

	static SDBMTermExprStorage *
	construct(StorageUniquer::StorageAllocator &allocator, const KeyTy &key) {
	auto *result = allocator.allocate<SDBMTermExprStorage>();
	result->kind = static_cast<SDBMExprKind>(key.first);
	result->position = key.second;
	return result;
	}

	unsigned position;
	};

	// Storage class for SDBM negation expressions.
	struct SDBMNegExprStorage : public SDBMExprStorage {
	using KeyTy = SDBMDirectExpr;

	bool operator==(const KeyTy &key) const { return key == expr; }

	static SDBMNegExprStorage *
	construct(StorageUniquer::StorageAllocator &allocator, const KeyTy &key) {
	auto *result = allocator.allocate<SDBMNegExprStorage>();
	result->expr = key;
	result->dialect = key.getDialect();
	result->kind = SDBMExprKind::Neg;
	return result;
	}

	SDBMDirectExpr expr;
	};

	} // end namespace detail
	} // end namespace mlir

	#endif // MLIR_IR_SDBMEXPRDETAIL_H

mlir/test/CMakeLists.txt

add_subdirectory(CAPI)		add_subdirectory(CAPI)
add_subdirectory(SDBM)
add_subdirectory(lib)		add_subdirectory(lib)

if(MLIR_ENABLE_BINDINGS_PYTHON)		if(MLIR_ENABLE_BINDINGS_PYTHON)
add_subdirectory(python)		add_subdirectory(python)
endif()		endif()

llvm_canonicalize_cmake_booleans(		llvm_canonicalize_cmake_booleans(
MLIR_ENABLE_BINDINGS_PYTHON		MLIR_ENABLE_BINDINGS_PYTHON
▲ Show 20 Lines • Show All 59 Lines • ▼ Show 20 Lines	set(MLIR_TEST_DEPENDS
mlir-capi-pass-test		mlir-capi-pass-test
mlir-capi-sparse-tensor-test		mlir-capi-sparse-tensor-test
mlir-cpu-runner		mlir-cpu-runner
mlir-linalg-ods-gen		mlir-linalg-ods-gen
mlir-linalg-ods-yaml-gen		mlir-linalg-ods-yaml-gen
mlir-lsp-server		mlir-lsp-server
mlir-opt		mlir-opt
mlir-reduce		mlir-reduce
mlir-sdbm-api-test
mlir-tblgen		mlir-tblgen
mlir-translate		mlir-translate
mlir_runner_utils		mlir_runner_utils
mlir_c_runner_utils		mlir_c_runner_utils
mlir_async_runtime		mlir_async_runtime
)		)

if(MLIR_ENABLE_CUDA_RUNNER)		if(MLIR_ENABLE_CUDA_RUNNER)
▲ Show 20 Lines • Show All 54 Lines • Show Last 20 Lines

mlir/test/SDBM/CMakeLists.txt

This file was deleted.

	set(LLVM_LINK_COMPONENTS
	Core
	Support
	)

	add_llvm_executable(mlir-sdbm-api-test
	sdbm-api-test.cpp
	)

	llvm_update_compile_flags(mlir-sdbm-api-test)

	target_link_libraries(mlir-sdbm-api-test
	PRIVATE
	MLIRIR
	MLIRSDBM
	MLIRSupport
	)

	target_include_directories(mlir-sdbm-api-test PRIVATE ..)

mlir/test/SDBM/lit.local.cfg

This file was deleted.

config.suffixes.add('.cpp')

mlir/test/SDBM/sdbm-api-test.cpp

This file was deleted.

	//===- sdbm-api-test.cpp - Tests for SDBM expression APIs -----------------===//
	//
	// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
	// See https://llvm.org/LICENSE.txt for license information.
	// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
	//
	//===----------------------------------------------------------------------===//

	// RUN: mlir-sdbm-api-test \| FileCheck %s

	#include "mlir/Dialect/SDBM/SDBM.h"
	#include "mlir/Dialect/SDBM/SDBMDialect.h"
	#include "mlir/Dialect/SDBM/SDBMExpr.h"
	#include "mlir/IR/MLIRContext.h"

	#include "llvm/Support/raw_ostream.h"

	#include "APITest.h"

	using namespace mlir;


	static MLIRContext *ctx() {
	static thread_local MLIRContext context;
	static thread_local bool once =
	(context.getOrLoadDialect<SDBMDialect>(), true);
	(void)once;
	return &context;
	}

	static SDBMDialect *dialect() {
	static thread_local SDBMDialect *d = nullptr;
	if (!d) {
	d = ctx()->getOrLoadDialect<SDBMDialect>();
	}
	return d;
	}

	static SDBMExpr dim(unsigned pos) { return SDBMDimExpr::get(dialect(), pos); }

	static SDBMExpr symb(unsigned pos) {
	return SDBMSymbolExpr::get(dialect(), pos);
	}

	namespace {

	using namespace mlir::ops_assertions;

	TEST_FUNC(SDBM_SingleConstraint) {
	// Build an SDBM defined by
	// d0 - 3 <= 0 <=> d0 <= 3.
	auto sdbm = SDBM::get(dim(0) - 3, llvm::None);

	// CHECK: cst d0
	// CHECK-NEXT: cst inf 3
	// CHECK-NEXT: d0 inf inf
	sdbm.print(llvm::outs());
	}

	TEST_FUNC(SDBM_Equality) {
	// Build an SDBM defined by
	//
	// d0 - d1 - 3 = 0
	// <=> {d0 - d1 - 3 <= 0 and d0 - d1 - 3 >= 0}
	// <=> {d0 - d1 <= 3 and d1 - d0 <= -3}.
	auto sdbm = SDBM::get(llvm::None, dim(0) - dim(1) - 3);

	// CHECK: cst d0 d1
	// CHECK-NEXT: cst inf inf inf
	// CHECK-NEXT: d0 inf inf -3
	// CHECK-NEXT: d1 inf 3 inf
	sdbm.print(llvm::outs());
	}

	TEST_FUNC(SDBM_TrivialSimplification) {
	// Build an SDBM defined by
	//
	// d0 - 3 <= 0 <=> d0 <= 3
	// d0 - 5 <= 0 <=> d0 <= 5
	//
	// which should get simplified on construction to only the former.
	auto sdbm = SDBM::get({dim(0) - 3, dim(0) - 5}, llvm::None);

	// CHECK: cst d0
	// CHECK-NEXT: cst inf 3
	// CHECK-NEXT: d0 inf inf
	sdbm.print(llvm::outs());
	}

	TEST_FUNC(SDBM_StripeInducedIneqs) {
	// Build an SDBM defined by d1 = d0 # 3, which induces the constraints
	//
	// d1 - d0 <= 0
	// d0 - d1 <= 3 - 1 = 2
	auto sdbm = SDBM::get(llvm::None, dim(1) - stripe(dim(0), 3));

	// CHECK: cst d0 d1
	// CHECK-NEXT: cst inf inf inf
	// CHECK-NEXT: d0 inf inf 0
	// CHECK-NEXT: d1 inf 2 0
	// CHECK-NEXT: d1 = d0 # 3
	sdbm.print(llvm::outs());
	}

	TEST_FUNC(SDBM_StripeTemporaries) {
	// Build an SDBM defined by d0 # 3 <= 0, which creates a temporary
	// t0 = d0 # 3 leading to a constraint t0 <= 0 and the stripe-induced
	// constraints
	//
	// t0 - d0 <= 0
	// d0 - t0 <= 3 - 1 = 2
	auto sdbm = SDBM::get(stripe(dim(0), 3), llvm::None);

	// CHECK: cst d0 t0
	// CHECK-NEXT: cst inf inf 0
	// CHECK-NEXT: d0 inf inf 0
	// CHECK-NEXT: t0 inf 2 inf
	// CHECK-NEXT: t0 = d0 # 3
	sdbm.print(llvm::outs());
	}

	TEST_FUNC(SDBM_ElideInducedInequalities) {
	// Build an SDBM defined by a single stripe equality d0 = s0 # 3 and make sure
	// the induced inequalities are not present after converting the SDBM back
	// into lists of expressions.
	auto sdbm = SDBM::get(llvm::None, {dim(0) - stripe(symb(0), 3)});

	SmallVector<SDBMExpr, 4> eqs, ineqs;
	sdbm.getSDBMExpressions(dialect(), ineqs, eqs);
	// CHECK-EMPTY:
	for (auto ineq : ineqs)
	ineq.print(llvm::outs() << '\n');
	llvm::outs() << "\n";

	// CHECK: d0 - s0 # 3
	// CHECK-EMPTY:
	for (auto eq : eqs)
	eq.print(llvm::outs() << '\n');
	llvm::outs() << "\n\n";
	}

	TEST_FUNC(SDBM_StripeTightening) {
	// Build an SDBM defined by
	//
	// d0 = s0 # 3 # 5
	// s0 # 3 # 5 - d1 + 42 = 0
	// s0 # 3 - d0 <= 2
	//
	// where the last inequality is tighter than that induced by the first stripe
	// equality (s0 # 3 - d0 <= 5 - 1 = 4). Check that the conversion from SDBM
	// back to the lists of constraints conserves both the stripe equality and the
	// tighter inequality.
	auto s = stripe(stripe(symb(0), 3), 5);
	auto tight = stripe(symb(0), 3) - dim(0) - 2;
	auto sdbm = SDBM::get({tight}, {s - dim(0), s - dim(1) + 42});

	SmallVector<SDBMExpr, 4> eqs, ineqs;
	sdbm.getSDBMExpressions(dialect(), ineqs, eqs);
	// CHECK: s0 # 3 + -2 - d0
	// CHECK-EMPTY:
	for (auto ineq : ineqs)
	ineq.print(llvm::outs() << '\n');
	llvm::outs() << "\n";

	// CHECK-DAG: d1 + -42 - d0
	// CHECK-DAG: d0 - s0 # 3 # 5
	for (auto eq : eqs)
	eq.print(llvm::outs() << '\n');
	llvm::outs() << "\n\n";
	}

	TEST_FUNC(SDBM_StripeTransitive) {
	// Build an SDBM defined by
	//
	// d0 = d1 # 3
	// d0 = d2 # 7
	//
	// where the same dimension is declared equal to two stripe expressions over
	// different variables. This is practically handled by introducing a
	// temporary variable for the second stripe expression and adding an equality
	// constraint between this variable and the original dimension variable.
	auto sdbm = SDBM::get(
	llvm::None, {stripe(dim(1), 3) - dim(0), stripe(dim(2), 7) - dim(0)});

	// CHECK: cst d0 d1 d2 t0
	// CHECK-NEXT: cst inf inf inf inf inf
	// CHECK-NEXT: d0 inf 0 2 inf 0
	// CHECK-NEXT: d1 inf 0 inf inf inf
	// CHECK-NEXT: d2 inf inf inf inf 0
	// CHECK-NEXT: t0 inf 0 inf 6 inf
	// CHECK-NEXT: t0 = d2 # 7
	// CHECK-NEXT: d0 = d1 # 3
	sdbm.print(llvm::outs());
	}

	} // end namespace

	int main() {
	RUN_TESTS();
	return 0;
	}

mlir/test/lit.cfg.py

Show First 20 Lines • Show All 59 Lines • ▼ Show 20 Lines	tools = [
'mlir-translate',		'mlir-translate',
'mlir-lsp-server',		'mlir-lsp-server',
'mlir-capi-ir-test',		'mlir-capi-ir-test',
'mlir-capi-pass-test',		'mlir-capi-pass-test',
'mlir-cpu-runner',		'mlir-cpu-runner',
'mlir-linalg-ods-gen',		'mlir-linalg-ods-gen',
'mlir-linalg-ods-yaml-gen',		'mlir-linalg-ods-yaml-gen',
'mlir-reduce',		'mlir-reduce',
'mlir-sdbm-api-test',
]		]

# The following tools are optional		# The following tools are optional
tools.extend([		tools.extend([
ToolSubst('%PYTHON', config.python_executable, unresolved='ignore'),		ToolSubst('%PYTHON', config.python_executable, unresolved='ignore'),
ToolSubst('toy-ch1', unresolved='ignore'),		ToolSubst('toy-ch1', unresolved='ignore'),
ToolSubst('toy-ch2', unresolved='ignore'),		ToolSubst('toy-ch2', unresolved='ignore'),
ToolSubst('toy-ch3', unresolved='ignore'),		ToolSubst('toy-ch3', unresolved='ignore'),
Show All 38 Lines

mlir/test/mlir-opt/commandline.mlir

	Show All 15 Lines
	// CHECK-NEXT: memref			// CHECK-NEXT: memref
	// CHECK-NEXT: nvvm			// CHECK-NEXT: nvvm
	// CHECK-NEXT: omp			// CHECK-NEXT: omp
	// CHECK-NEXT: pdl			// CHECK-NEXT: pdl
	// CHECK-NEXT: pdl_interp			// CHECK-NEXT: pdl_interp
	// CHECK-NEXT: quant			// CHECK-NEXT: quant
	// CHECK-NEXT: rocdl			// CHECK-NEXT: rocdl
	// CHECK-NEXT: scf			// CHECK-NEXT: scf
	// CHECK-NEXT: sdbm
	// CHECK-NEXT: shape			// CHECK-NEXT: shape
	// CHECK-NEXT: sparse_tensor			// CHECK-NEXT: sparse_tensor
	// CHECK-NEXT: spv			// CHECK-NEXT: spv
	// CHECK-NEXT: std			// CHECK-NEXT: std
	// CHECK-NEXT: tensor			// CHECK-NEXT: tensor
	// CHECK-NEXT: test			// CHECK-NEXT: test
	// CHECK-NEXT: tosa			// CHECK-NEXT: tosa
	// CHECK-NEXT: vector			// CHECK-NEXT: vector
	// CHECK-NEXT: x86vector			// CHECK-NEXT: x86vector

mlir/unittests/CMakeLists.txt

	set_target_properties(MLIRUnitTests PROPERTIES FOLDER "MLIR Tests")			set_target_properties(MLIRUnitTests PROPERTIES FOLDER "MLIR Tests")

	function(add_mlir_unittest test_dirname)			function(add_mlir_unittest test_dirname)
	add_unittest(MLIRUnitTests ${test_dirname} ${ARGN})			add_unittest(MLIRUnitTests ${test_dirname} ${ARGN})
	endfunction()			endfunction()

	add_subdirectory(Analysis)			add_subdirectory(Analysis)
	add_subdirectory(Dialect)			add_subdirectory(Dialect)
	add_subdirectory(ExecutionEngine)			add_subdirectory(ExecutionEngine)
	add_subdirectory(Interfaces)			add_subdirectory(Interfaces)
	add_subdirectory(IR)			add_subdirectory(IR)
	add_subdirectory(Pass)			add_subdirectory(Pass)
	add_subdirectory(Rewrite)			add_subdirectory(Rewrite)
	add_subdirectory(SDBM)
	add_subdirectory(TableGen)			add_subdirectory(TableGen)

mlir/unittests/SDBM/CMakeLists.txt

This file was deleted.

	add_mlir_unittest(MLIRSDBMTests
	SDBMTest.cpp
	)
	target_link_libraries(MLIRSDBMTests
	PRIVATE
	MLIRSDBM
	)

mlir/unittests/SDBM/SDBMTest.cpp

This file was deleted.

	//===- SDBMTest.cpp - SDBM expression unit tests --------------------------===//
	//
	// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
	// See https://llvm.org/LICENSE.txt for license information.
	// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
	//
	//===----------------------------------------------------------------------===//

	#include "mlir/Dialect/SDBM/SDBM.h"
	#include "mlir/Dialect/SDBM/SDBMDialect.h"
	#include "mlir/Dialect/SDBM/SDBMExpr.h"
	#include "mlir/IR/AffineExpr.h"
	#include "mlir/IR/MLIRContext.h"
	#include "gtest/gtest.h"

	#include "llvm/ADT/DenseSet.h"

	using namespace mlir;


	static MLIRContext *ctx() {
	static thread_local MLIRContext context;
	context.getOrLoadDialect<SDBMDialect>();
	return &context;
	}

	static SDBMDialect *dialect() {
	static thread_local SDBMDialect *d = nullptr;
	if (!d) {
	d = ctx()->getOrLoadDialect<SDBMDialect>();
	}
	return d;
	}

	static SDBMExpr dim(unsigned pos) { return SDBMDimExpr::get(dialect(), pos); }

	static SDBMExpr symb(unsigned pos) {
	return SDBMSymbolExpr::get(dialect(), pos);
	}

	namespace {

	using namespace mlir::ops_assertions;

	TEST(SDBMOperators, Add) {
	auto expr = dim(0) + 42;
	auto sumExpr = expr.dyn_cast<SDBMSumExpr>();
	ASSERT_TRUE(sumExpr);
	EXPECT_EQ(sumExpr.getLHS(), dim(0));
	EXPECT_EQ(sumExpr.getRHS().getValue(), 42);
	}

	TEST(SDBMOperators, AddFolding) {
	auto constant = SDBMConstantExpr::get(dialect(), 2) + 42;
	auto constantExpr = constant.dyn_cast<SDBMConstantExpr>();
	ASSERT_TRUE(constantExpr);
	EXPECT_EQ(constantExpr.getValue(), 44);

	auto expr = (dim(0) + 10) + 32;
	auto sumExpr = expr.dyn_cast<SDBMSumExpr>();
	ASSERT_TRUE(sumExpr);
	EXPECT_EQ(sumExpr.getRHS().getValue(), 42);

	expr = dim(0) + SDBMNegExpr::get(SDBMDimExpr::get(dialect(), 1));
	auto diffExpr = expr.dyn_cast<SDBMDiffExpr>();
	ASSERT_TRUE(diffExpr);
	EXPECT_EQ(diffExpr.getLHS(), dim(0));
	EXPECT_EQ(diffExpr.getRHS(), dim(1));

	auto inverted = SDBMNegExpr::get(SDBMDimExpr::get(dialect(), 1)) + dim(0);
	EXPECT_EQ(inverted, expr);

	// Check that opposite values cancel each other, and that we elide the zero
	// constant.
	expr = dim(0) + 42;
	auto onlyDim = expr - 42;
	EXPECT_EQ(onlyDim, dim(0));

	// Check that we can sink a constant under a negation.
	expr = -(dim(0) + 2);
	auto negatedSum = (expr + 10).dyn_cast<SDBMNegExpr>();
	ASSERT_TRUE(negatedSum);
	auto sum = negatedSum.getVar().dyn_cast<SDBMSumExpr>();
	ASSERT_TRUE(sum);
	EXPECT_EQ(sum.getRHS().getValue(), -8);

	// Sum with zero is the same as the original expression.
	EXPECT_EQ(dim(0) + 0, dim(0));

	// Sum of opposite differences is zero.
	auto diffOfDiffs =
	((dim(0) - dim(1)) + (dim(1) - dim(0))).dyn_cast<SDBMConstantExpr>();
	EXPECT_EQ(diffOfDiffs.getValue(), 0);
	}

	TEST(SDBMOperators, AddNegativeTerms) {
	const int64_t A = 7;
	const int64_t B = -5;
	auto x = SDBMDimExpr::get(dialect(), 0);
	auto y = SDBMDimExpr::get(dialect(), 1);

	// Check the simplification patterns in addition where one of the variables is
	// cancelled out and the result remains an SDBM.
	EXPECT_EQ(-(x + A) + ((x + B) - y), -(y + (A - B)));
	EXPECT_EQ((x + A) + ((y + B) - x), (y + B) + A);
	EXPECT_EQ(((x + A) - y) + (-(x + B)), -(y + (B - A)));
	EXPECT_EQ(((x + A) - y) + (y + B), (x + A) + B);
	}

	TEST(SDBMOperators, Diff) {
	auto expr = dim(0) - dim(1);
	auto diffExpr = expr.dyn_cast<SDBMDiffExpr>();
	ASSERT_TRUE(diffExpr);
	EXPECT_EQ(diffExpr.getLHS(), dim(0));
	EXPECT_EQ(diffExpr.getRHS(), dim(1));
	}

	TEST(SDBMOperators, DiffFolding) {
	auto constant = SDBMConstantExpr::get(dialect(), 10) - 3;
	auto constantExpr = constant.dyn_cast<SDBMConstantExpr>();
	ASSERT_TRUE(constantExpr);
	EXPECT_EQ(constantExpr.getValue(), 7);

	auto expr = dim(0) - 3;
	auto sumExpr = expr.dyn_cast<SDBMSumExpr>();
	ASSERT_TRUE(sumExpr);
	EXPECT_EQ(sumExpr.getRHS().getValue(), -3);

	auto zero = dim(0) - dim(0);
	constantExpr = zero.dyn_cast<SDBMConstantExpr>();
	ASSERT_TRUE(constantExpr);
	EXPECT_EQ(constantExpr.getValue(), 0);

	// Check that the constant terms in difference-of-sums are folded.
	// (d0 - 3) - (d1 - 5) = (d0 + 2) - d1
	auto diffOfSums = ((dim(0) - 3) - (dim(1) - 5)).dyn_cast<SDBMDiffExpr>();
	ASSERT_TRUE(diffOfSums);
	auto lhs = diffOfSums.getLHS().dyn_cast<SDBMSumExpr>();
	ASSERT_TRUE(lhs);
	EXPECT_EQ(lhs.getLHS(), dim(0));
	EXPECT_EQ(lhs.getRHS().getValue(), 2);
	EXPECT_EQ(diffOfSums.getRHS(), dim(1));

	// Check that identical dimensions with opposite signs cancel each other.
	auto cstOnly = ((dim(0) + 42) - dim(0)).dyn_cast<SDBMConstantExpr>();
	ASSERT_TRUE(cstOnly);
	EXPECT_EQ(cstOnly.getValue(), 42);

	// Check that identical terms in sum of diffs cancel out.
	auto dimOnly = (-dim(0) + (dim(0) - dim(1)));
	EXPECT_EQ(dimOnly, -dim(1));
	dimOnly = (dim(0) - dim(1)) + (-dim(0));
	EXPECT_EQ(dimOnly, -dim(1));
	dimOnly = (dim(0) - dim(1)) + dim(1);
	EXPECT_EQ(dimOnly, dim(0));
	dimOnly = dim(0) + (dim(1) - dim(0));
	EXPECT_EQ(dimOnly, dim(1));

	// Top-level zero constant is fine.
	cstOnly = (-symb(1) + symb(1)).dyn_cast<SDBMConstantExpr>();
	ASSERT_TRUE(cstOnly);
	EXPECT_EQ(cstOnly.getValue(), 0);
	}

	TEST(SDBMOperators, Negate) {
	auto sum = dim(0) + 3;
	auto negated = (-sum).dyn_cast<SDBMNegExpr>();
	ASSERT_TRUE(negated);
	EXPECT_EQ(negated.getVar(), sum);
	}

	TEST(SDBMOperators, Stripe) {
	auto expr = stripe(dim(0), 3);
	auto stripeExpr = expr.dyn_cast<SDBMStripeExpr>();
	ASSERT_TRUE(stripeExpr);
	EXPECT_EQ(stripeExpr.getLHS(), dim(0));
	EXPECT_EQ(stripeExpr.getStripeFactor().getValue(), 3);
	}

	TEST(SDBM, RoundTripEqs) {
	// Build an SDBM defined by
	//
	// d0 = s0 # 3 # 5
	// s0 # 3 # 5 - d1 + 42 = 0
	//
	// and perform a double round-trip between the "list of equalities" and SDBM
	// representation. After the first round-trip, the equalities may be
	// different due to simplification or equivalent substitutions (e.g., the
	// second equality may become d0 - d1 + 42 = 0). However, there should not
	// be any further simplification after the second round-trip,

	// Build the SDBM from a pair of equalities and extract back the lists of
	// inequalities and equalities. Check that all equalities are properly
	// detected and none of them decayed into inequalities.
	auto s = stripe(stripe(symb(0), 3), 5);
	auto sdbm = SDBM::get(llvm::None, {s - dim(0), s - dim(1) + 42});
	SmallVector<SDBMExpr, 4> eqs, ineqs;
	sdbm.getSDBMExpressions(dialect(), ineqs, eqs);
	ASSERT_TRUE(ineqs.empty());

	// Do the second round-trip.
	auto sdbm2 = SDBM::get(llvm::None, eqs);
	SmallVector<SDBMExpr, 4> eqs2, ineqs2;
	sdbm2.getSDBMExpressions(dialect(), ineqs2, eqs2);
	ASSERT_EQ(eqs.size(), eqs2.size());

	// Check that the sets of equalities are equal, their order is not relevant.
	llvm::DenseSet<SDBMExpr> eqSet, eq2Set;
	eqSet.insert(eqs.begin(), eqs.end());
	eq2Set.insert(eqs2.begin(), eqs2.end());
	EXPECT_EQ(eqSet, eq2Set);
	}

	TEST(SDBMExpr, Constant) {
	// We can create constants and query them.
	auto expr = SDBMConstantExpr::get(dialect(), 42);
	EXPECT_EQ(expr.getValue(), 42);

	// Two separately created constants with identical values are trivially equal.
	auto expr2 = SDBMConstantExpr::get(dialect(), 42);
	EXPECT_EQ(expr, expr2);

	// Hierarchy is okay.
	auto generic = static_cast<SDBMExpr>(expr);
	EXPECT_TRUE(generic.isa<SDBMConstantExpr>());
	}

	TEST(SDBMExpr, Dim) {
	// We can create dimension expressions and query them.
	auto expr = SDBMDimExpr::get(dialect(), 0);
	EXPECT_EQ(expr.getPosition(), 0u);

	// Two separately created dimensions with the same position are trivially
	// equal.
	auto expr2 = SDBMDimExpr::get(dialect(), 0);
	EXPECT_EQ(expr, expr2);

	// Hierarchy is okay.
	auto generic = static_cast<SDBMExpr>(expr);
	EXPECT_TRUE(generic.isa<SDBMDimExpr>());
	EXPECT_TRUE(generic.isa<SDBMInputExpr>());
	EXPECT_TRUE(generic.isa<SDBMTermExpr>());
	EXPECT_TRUE(generic.isa<SDBMDirectExpr>());
	EXPECT_TRUE(generic.isa<SDBMVaryingExpr>());

	// Dimensions are not Symbols.
	auto symbol = SDBMSymbolExpr::get(dialect(), 0);
	EXPECT_NE(expr, symbol);
	EXPECT_FALSE(expr.isa<SDBMSymbolExpr>());
	}

	TEST(SDBMExpr, Symbol) {
	// We can create symbol expressions and query them.
	auto expr = SDBMSymbolExpr::get(dialect(), 0);
	EXPECT_EQ(expr.getPosition(), 0u);

	// Two separately created symbols with the same position are trivially equal.
	auto expr2 = SDBMSymbolExpr::get(dialect(), 0);
	EXPECT_EQ(expr, expr2);

	// Hierarchy is okay.
	auto generic = static_cast<SDBMExpr>(expr);
	EXPECT_TRUE(generic.isa<SDBMSymbolExpr>());
	EXPECT_TRUE(generic.isa<SDBMInputExpr>());
	EXPECT_TRUE(generic.isa<SDBMTermExpr>());
	EXPECT_TRUE(generic.isa<SDBMDirectExpr>());
	EXPECT_TRUE(generic.isa<SDBMVaryingExpr>());

	// Dimensions are not Symbols.
	auto symbol = SDBMDimExpr::get(dialect(), 0);
	EXPECT_NE(expr, symbol);
	EXPECT_FALSE(expr.isa<SDBMDimExpr>());
	}

	TEST(SDBMExpr, Stripe) {
	auto cst2 = SDBMConstantExpr::get(dialect(), 2);
	auto cst0 = SDBMConstantExpr::get(dialect(), 0);
	auto var = SDBMSymbolExpr::get(dialect(), 0);

	// We can create stripe expressions and query them.
	auto expr = SDBMStripeExpr::get(var, cst2);
	EXPECT_EQ(expr.getLHS(), var);
	EXPECT_EQ(expr.getStripeFactor(), cst2);

	// Two separately created stripe expressions with the same LHS and RHS are
	// trivially equal.
	auto expr2 = SDBMStripeExpr::get(SDBMSymbolExpr::get(dialect(), 0), cst2);
	EXPECT_EQ(expr, expr2);

	// Stripes can be nested.
	SDBMStripeExpr::get(expr, SDBMConstantExpr::get(dialect(), 4));

	// Non-positive stripe factors are not allowed.
	EXPECT_DEATH(SDBMStripeExpr::get(var, cst0), "non-positive");

	// Stripes can have sums on the LHS.
	SDBMStripeExpr::get(SDBMSumExpr::get(var, cst2), cst2);

	// Hierarchy is okay.
	auto generic = static_cast<SDBMExpr>(expr);
	EXPECT_TRUE(generic.isa<SDBMStripeExpr>());
	EXPECT_TRUE(generic.isa<SDBMTermExpr>());
	EXPECT_TRUE(generic.isa<SDBMDirectExpr>());
	EXPECT_TRUE(generic.isa<SDBMVaryingExpr>());
	}

	TEST(SDBMExpr, Neg) {
	auto cst2 = SDBMConstantExpr::get(dialect(), 2);
	auto var = SDBMSymbolExpr::get(dialect(), 0);
	auto stripe = SDBMStripeExpr::get(var, cst2);

	// We can create negation expressions and query them.
	auto expr = SDBMNegExpr::get(var);
	EXPECT_EQ(expr.getVar(), var);
	auto expr2 = SDBMNegExpr::get(stripe);
	EXPECT_EQ(expr2.getVar(), stripe);

	// Neg expressions are trivially comparable.
	EXPECT_EQ(expr, SDBMNegExpr::get(var));

	// Hierarchy is okay.
	auto generic = static_cast<SDBMExpr>(expr);
	EXPECT_TRUE(generic.isa<SDBMNegExpr>());
	EXPECT_TRUE(generic.isa<SDBMVaryingExpr>());
	}

	TEST(SDBMExpr, Sum) {
	auto cst2 = SDBMConstantExpr::get(dialect(), 2);
	auto var = SDBMSymbolExpr::get(dialect(), 0);
	auto stripe = SDBMStripeExpr::get(var, cst2);

	// We can create sum expressions and query them.
	auto expr = SDBMSumExpr::get(var, cst2);
	EXPECT_EQ(expr.getLHS(), var);
	EXPECT_EQ(expr.getRHS(), cst2);
	auto expr2 = SDBMSumExpr::get(stripe, cst2);
	EXPECT_EQ(expr2.getLHS(), stripe);
	EXPECT_EQ(expr2.getRHS(), cst2);

	// Sum expressions are trivially comparable.
	EXPECT_EQ(expr, SDBMSumExpr::get(var, cst2));

	// Hierarchy is okay.
	auto generic = static_cast<SDBMExpr>(expr);
	EXPECT_TRUE(generic.isa<SDBMSumExpr>());
	EXPECT_TRUE(generic.isa<SDBMDirectExpr>());
	EXPECT_TRUE(generic.isa<SDBMVaryingExpr>());
	}

	TEST(SDBMExpr, Diff) {
	auto cst2 = SDBMConstantExpr::get(dialect(), 2);
	auto var = SDBMSymbolExpr::get(dialect(), 0);
	auto stripe = SDBMStripeExpr::get(var, cst2);

	// We can create sum expressions and query them.
	auto expr = SDBMDiffExpr::get(var, stripe);
	EXPECT_EQ(expr.getLHS(), var);
	EXPECT_EQ(expr.getRHS(), stripe);
	auto expr2 = SDBMDiffExpr::get(stripe, var);
	EXPECT_EQ(expr2.getLHS(), stripe);
	EXPECT_EQ(expr2.getRHS(), var);

	// Sum expressions are trivially comparable.
	EXPECT_EQ(expr, SDBMDiffExpr::get(var, stripe));

	// Hierarchy is okay.
	auto generic = static_cast<SDBMExpr>(expr);
	EXPECT_TRUE(generic.isa<SDBMDiffExpr>());
	EXPECT_TRUE(generic.isa<SDBMVaryingExpr>());
	}

	TEST(SDBMExpr, AffineRoundTrip) {
	// Build an expression (s0 - s0 # 2)
	auto cst2 = SDBMConstantExpr::get(dialect(), 2);
	auto var = SDBMSymbolExpr::get(dialect(), 0);
	auto stripe = SDBMStripeExpr::get(var, cst2);
	auto expr = SDBMDiffExpr::get(var, stripe);

	// Check that it can be converted to AffineExpr and back, i.e. stripe
	// detection works correctly.
	Optional<SDBMExpr> roundtripped =
	SDBMExpr::tryConvertAffineExpr(expr.getAsAffineExpr());
	ASSERT_TRUE(roundtripped.hasValue());
	EXPECT_EQ(roundtripped, static_cast<SDBMExpr>(expr));

	// Check that (s0 # 2 # 5) can be converted to AffineExpr, i.e. stripe
	// detection supports nested expressions.
	auto cst5 = SDBMConstantExpr::get(dialect(), 5);
	auto outerStripe = SDBMStripeExpr::get(stripe, cst5);
	roundtripped = SDBMExpr::tryConvertAffineExpr(outerStripe.getAsAffineExpr());
	ASSERT_TRUE(roundtripped.hasValue());
	EXPECT_EQ(roundtripped, static_cast<SDBMExpr>(outerStripe));

	// Check that ((s0 + 2) # 5) can be round-tripped through AffineExpr, i.e.
	// stripe detection supports sum expressions.
	auto inner = SDBMSumExpr::get(var, cst2);
	auto stripeSum = SDBMStripeExpr::get(inner, cst5);
	roundtripped = SDBMExpr::tryConvertAffineExpr(stripeSum.getAsAffineExpr());
	ASSERT_TRUE(roundtripped.hasValue());
	EXPECT_EQ(roundtripped, static_cast<SDBMExpr>(stripeSum));

	// Check that (s0 # 2 # 5 - s0 # 2) + 2 can be converted as an example of a
	// deeper expression tree.
	auto sum = SDBMSumExpr::get(outerStripe, cst2);
	auto diff = SDBMDiffExpr::get(sum, stripe);
	roundtripped = SDBMExpr::tryConvertAffineExpr(diff.getAsAffineExpr());
	ASSERT_TRUE(roundtripped.hasValue());
	EXPECT_EQ(roundtripped, static_cast<SDBMExpr>(diff));

	// Check a nested stripe-sum combination.
	auto cst7 = SDBMConstantExpr::get(dialect(), 7);
	auto nestedStripe =
	SDBMStripeExpr::get(SDBMSumExpr::get(stripeSum, cst2), cst7);
	diff = SDBMDiffExpr::get(nestedStripe, stripe);
	roundtripped = SDBMExpr::tryConvertAffineExpr(diff.getAsAffineExpr());
	ASSERT_TRUE(roundtripped.hasValue());
	EXPECT_EQ(roundtripped, static_cast<SDBMExpr>(diff));
	}

	TEST(SDBMExpr, MatchStripeMulPattern) {
	// Make sure conversion from AffineExpr recognizes multiplicative stripe
	// pattern (x floordiv B) * B == x # B.
	auto cst = getAffineConstantExpr(42, ctx());
	auto dim = getAffineDimExpr(0, ctx());
	auto floor = dim.floorDiv(cst);
	auto mul = cst * floor;
	Optional<SDBMExpr> converted = SDBMStripeExpr::tryConvertAffineExpr(mul);
	ASSERT_TRUE(converted.hasValue());
	EXPECT_TRUE(converted->isa<SDBMStripeExpr>());
	}

	TEST(SDBMExpr, NonSDBM) {
	auto d0 = getAffineDimExpr(0, ctx());
	auto d1 = getAffineDimExpr(1, ctx());
	auto sum = d0 + d1;
	auto c2 = getAffineConstantExpr(2, ctx());
	auto prod = d0 * c2;
	auto ceildiv = d1.ceilDiv(c2);

	// The following are not valid SDBM expressions:
	// - a sum of two variables
	EXPECT_FALSE(SDBMExpr::tryConvertAffineExpr(sum).hasValue());
	// - a variable with coefficient other than 1 or -1
	EXPECT_FALSE(SDBMExpr::tryConvertAffineExpr(prod).hasValue());
	// - a ceildiv expression
	EXPECT_FALSE(SDBMExpr::tryConvertAffineExpr(ceildiv).hasValue());
	}

	} // end namespace

This is an archive of the discontinued LLVM Phabricator instance.

[mlir] Remove SDBMClosedPublic

Details

Diff Detail

Event Timeline

Revision Contents

Diff 355184

mlir/include/mlir/Dialect/SDBM/SDBM.h

mlir/include/mlir/Dialect/SDBM/SDBMDialect.h

mlir/include/mlir/Dialect/SDBM/SDBMExpr.h

mlir/include/mlir/InitAllDialects.h

mlir/lib/Dialect/CMakeLists.txt

mlir/lib/Dialect/SDBM/CMakeLists.txt

mlir/lib/Dialect/SDBM/SDBM.cpp

mlir/lib/Dialect/SDBM/SDBMDialect.cpp

mlir/lib/Dialect/SDBM/SDBMExpr.cpp

mlir/lib/Dialect/SDBM/SDBMExprDetail.h

mlir/test/CMakeLists.txt

mlir/test/SDBM/CMakeLists.txt

mlir/test/SDBM/lit.local.cfg

mlir/test/SDBM/sdbm-api-test.cpp

mlir/test/lit.cfg.py

mlir/test/mlir-opt/commandline.mlir

mlir/unittests/CMakeLists.txt

mlir/unittests/SDBM/CMakeLists.txt

mlir/unittests/SDBM/SDBMTest.cpp

[mlir] Remove SDBM
ClosedPublic