// Copyright (c) 2018 Google LLC. // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. #ifndef SOURCE_OPT_SCALAR_ANALYSIS_H_ #define SOURCE_OPT_SCALAR_ANALYSIS_H_ #include <algorithm> #include <cstdint> #include <map> #include <memory> #include <unordered_set> #include <utility> #include <vector> #include "source/opt/basic_block.h" #include "source/opt/instruction.h" #include "source/opt/scalar_analysis_nodes.h" namespace spvtools { namespace opt { class IRContext; class Loop; // Manager for the Scalar Evolution analysis. Creates and maintains a DAG of // scalar operations generated from analysing the use def graph from incoming // instructions. Each node is hashed as it is added so like node (for instance, // two induction variables i=0,i++ and j=0,j++) become the same node. After // creating a DAG with AnalyzeInstruction it can the be simplified into a more // usable form with SimplifyExpression. class ScalarEvolutionAnalysis { public: explicit ScalarEvolutionAnalysis(IRContext* context); // Create a unary negative node on |operand|. SENode* CreateNegation(SENode* operand); // Creates a subtraction between the two operands by adding |operand_1| to the // negation of |operand_2|. SENode* CreateSubtraction(SENode* operand_1, SENode* operand_2); // Create an addition node between two operands. The |simplify| when set will // allow the function to return an SEConstant instead of an addition if the // two input operands are also constant. SENode* CreateAddNode(SENode* operand_1, SENode* operand_2); // Create a multiply node between two operands. SENode* CreateMultiplyNode(SENode* operand_1, SENode* operand_2); // Create a node representing a constant integer. SENode* CreateConstant(int64_t integer); // Create a value unknown node, such as a load. SENode* CreateValueUnknownNode(const Instruction* inst); // Create a CantComputeNode. Used to exit out of analysis. SENode* CreateCantComputeNode(); // Create a new recurrent node with |offset| and |coefficient|, with respect // to |loop|. SENode* CreateRecurrentExpression(const Loop* loop, SENode* offset, SENode* coefficient); // Construct the DAG by traversing use def chain of |inst|. SENode* AnalyzeInstruction(const Instruction* inst); // Simplify the |node| by grouping like terms or if contains a recurrent // expression, rewrite the graph so the whole DAG (from |node| down) is in // terms of that recurrent expression. // // For example. // Induction variable i=0, i++ would produce Rec(0,1) so i+1 could be // transformed into Rec(1,1). // // X+X*2+Y-Y+34-17 would be transformed into 3*X + 17, where X and Y are // ValueUnknown nodes (such as a load instruction). SENode* SimplifyExpression(SENode* node); // Add |prospective_node| into the cache and return a raw pointer to it. If // |prospective_node| is already in the cache just return the raw pointer. SENode* GetCachedOrAdd(std::unique_ptr<SENode> prospective_node); // Checks that the graph starting from |node| is invariant to the |loop|. bool IsLoopInvariant(const Loop* loop, const SENode* node) const; // Sets |is_gt_zero| to true if |node| represent a value always strictly // greater than 0. The result of |is_gt_zero| is valid only if the function // returns true. bool IsAlwaysGreaterThanZero(SENode* node, bool* is_gt_zero) const; // Sets |is_ge_zero| to true if |node| represent a value greater or equals to // 0. The result of |is_ge_zero| is valid only if the function returns true. bool IsAlwaysGreaterOrEqualToZero(SENode* node, bool* is_ge_zero) const; // Find the recurrent term belonging to |loop| in the graph starting from // |node| and return the coefficient of that recurrent term. Constant zero // will be returned if no recurrent could be found. |node| should be in // simplest form. SENode* GetCoefficientFromRecurrentTerm(SENode* node, const Loop* loop); // Return a rebuilt graph starting from |node| with the recurrent expression // belonging to |loop| being zeroed out. Returned node will be simplified. SENode* BuildGraphWithoutRecurrentTerm(SENode* node, const Loop* loop); // Return the recurrent term belonging to |loop| if it appears in the graph // starting at |node| or null if it doesn't. SERecurrentNode* GetRecurrentTerm(SENode* node, const Loop* loop); SENode* UpdateChildNode(SENode* parent, SENode* child, SENode* new_child); // The loops in |loop_pair| will be considered the same when constructing // SERecurrentNode objects. This enables analysing dependencies that will be // created during loop fusion. void AddLoopsToPretendAreTheSame( const std::pair<const Loop*, const Loop*>& loop_pair) { pretend_equal_[std::get<1>(loop_pair)] = std::get<0>(loop_pair); } private: SENode* AnalyzeConstant(const Instruction* inst); // Handles both addition and subtraction. If the |instruction| is OpISub // then the resulting node will be op1+(-op2) otherwise if it is OpIAdd then // the result will be op1+op2. |instruction| must be OpIAdd or OpISub. SENode* AnalyzeAddOp(const Instruction* instruction); SENode* AnalyzeMultiplyOp(const Instruction* multiply); SENode* AnalyzePhiInstruction(const Instruction* phi); IRContext* context_; // A map of instructions to SENodes. This is used to track recurrent // expressions as they are added when analyzing instructions. Recurrent // expressions come from phi nodes which by nature can include recursion so we // check if nodes have already been built when analyzing instructions. std::map<const Instruction*, SENode*> recurrent_node_map_; // On creation we create and cache the CantCompute node so we not need to // perform a needless create step. SENode* cached_cant_compute_; // Helper functor to allow two unique_ptr to nodes to be compare. Only // needed // for the unordered_set implementation. struct NodePointersEquality { bool operator()(const std::unique_ptr<SENode>& lhs, const std::unique_ptr<SENode>& rhs) const { return *lhs == *rhs; } }; // Cache of nodes. All pointers to the nodes are references to the memory // managed by they set. std::unordered_set<std::unique_ptr<SENode>, SENodeHash, NodePointersEquality> node_cache_; // Loops that should be considered the same for performing analysis for loop // fusion. std::map<const Loop*, const Loop*> pretend_equal_; }; // Wrapping class to manipulate SENode pointer using + - * / operators. class SExpression { public: // Implicit on purpose ! SExpression(SENode* node) : node_(node->GetParentAnalysis()->SimplifyExpression(node)), scev_(node->GetParentAnalysis()) {} inline operator SENode*() const { return node_; } inline SENode* operator->() const { return node_; } const SENode& operator*() const { return *node_; } inline ScalarEvolutionAnalysis* GetScalarEvolutionAnalysis() const { return scev_; } inline SExpression operator+(SENode* rhs) const; template <typename T, typename std::enable_if<std::is_integral<T>::value, int>::type = 0> inline SExpression operator+(T integer) const; inline SExpression operator+(SExpression rhs) const; inline SExpression operator-() const; inline SExpression operator-(SENode* rhs) const; template <typename T, typename std::enable_if<std::is_integral<T>::value, int>::type = 0> inline SExpression operator-(T integer) const; inline SExpression operator-(SExpression rhs) const; inline SExpression operator*(SENode* rhs) const; template <typename T, typename std::enable_if<std::is_integral<T>::value, int>::type = 0> inline SExpression operator*(T integer) const; inline SExpression operator*(SExpression rhs) const; template <typename T, typename std::enable_if<std::is_integral<T>::value, int>::type = 0> inline std::pair<SExpression, int64_t> operator/(T integer) const; // Try to perform a division. Returns the pair <this.node_ / rhs, division // remainder>. If it fails to simplify it, the function returns a // CanNotCompute node. std::pair<SExpression, int64_t> operator/(SExpression rhs) const; private: SENode* node_; ScalarEvolutionAnalysis* scev_; }; inline SExpression SExpression::operator+(SENode* rhs) const { return scev_->CreateAddNode(node_, rhs); } template <typename T, typename std::enable_if<std::is_integral<T>::value, int>::type> inline SExpression SExpression::operator+(T integer) const { return *this + scev_->CreateConstant(integer); } inline SExpression SExpression::operator+(SExpression rhs) const { return *this + rhs.node_; } inline SExpression SExpression::operator-() const { return scev_->CreateNegation(node_); } inline SExpression SExpression::operator-(SENode* rhs) const { return *this + scev_->CreateNegation(rhs); } template <typename T, typename std::enable_if<std::is_integral<T>::value, int>::type> inline SExpression SExpression::operator-(T integer) const { return *this - scev_->CreateConstant(integer); } inline SExpression SExpression::operator-(SExpression rhs) const { return *this - rhs.node_; } inline SExpression SExpression::operator*(SENode* rhs) const { return scev_->CreateMultiplyNode(node_, rhs); } template <typename T, typename std::enable_if<std::is_integral<T>::value, int>::type> inline SExpression SExpression::operator*(T integer) const { return *this * scev_->CreateConstant(integer); } inline SExpression SExpression::operator*(SExpression rhs) const { return *this * rhs.node_; } template <typename T, typename std::enable_if<std::is_integral<T>::value, int>::type> inline std::pair<SExpression, int64_t> SExpression::operator/(T integer) const { return *this / scev_->CreateConstant(integer); } template <typename T, typename std::enable_if<std::is_integral<T>::value, int>::type> inline SExpression operator+(T lhs, SExpression rhs) { return rhs + lhs; } inline SExpression operator+(SENode* lhs, SExpression rhs) { return rhs + lhs; } template <typename T, typename std::enable_if<std::is_integral<T>::value, int>::type> inline SExpression operator-(T lhs, SExpression rhs) { // NOLINTNEXTLINE(whitespace/braces) return SExpression{rhs.GetScalarEvolutionAnalysis()->CreateConstant(lhs)} - rhs; } inline SExpression operator-(SENode* lhs, SExpression rhs) { // NOLINTNEXTLINE(whitespace/braces) return SExpression{lhs} - rhs; } template <typename T, typename std::enable_if<std::is_integral<T>::value, int>::type> inline SExpression operator*(T lhs, SExpression rhs) { return rhs * lhs; } inline SExpression operator*(SENode* lhs, SExpression rhs) { return rhs * lhs; } template <typename T, typename std::enable_if<std::is_integral<T>::value, int>::type> inline std::pair<SExpression, int64_t> operator/(T lhs, SExpression rhs) { // NOLINTNEXTLINE(whitespace/braces) return SExpression{rhs.GetScalarEvolutionAnalysis()->CreateConstant(lhs)} / rhs; } inline std::pair<SExpression, int64_t> operator/(SENode* lhs, SExpression rhs) { // NOLINTNEXTLINE(whitespace/braces) return SExpression{lhs} / rhs; } } // namespace opt } // namespace spvtools #endif // SOURCE_OPT_SCALAR_ANALYSIS_H_