1 | //
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2 | // Cforall Version 1.0.0 Copyright (C) 2015 University of Waterloo
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3 | //
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4 | // The contents of this file are covered under the licence agreement in the
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5 | // file "LICENCE" distributed with Cforall.
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6 | //
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7 | // SatisfyAssertions.cpp --
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8 | //
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9 | // Author : Aaron B. Moss
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10 | // Created On : Mon Jun 10 17:45:00 2019
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11 | // Last Modified By : Aaron B. Moss
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12 | // Last Modified On : Mon Jun 10 17:45:00 2019
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13 | // Update Count : 1
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14 | //
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15 |
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16 | #include "SatisfyAssertions.hpp"
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17 |
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18 | #include <algorithm>
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19 | #include <cassert>
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20 | #include <sstream>
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21 | #include <string>
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22 | #include <unordered_map>
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23 | #include <vector>
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24 |
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25 | #include "Candidate.hpp"
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26 | #include "CandidateFinder.hpp"
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27 | #include "Cost.h"
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28 | #include "RenameVars.h"
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29 | #include "typeops.h"
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30 | #include "Unify.h"
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31 | #include "AST/Decl.hpp"
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32 | #include "AST/Expr.hpp"
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33 | #include "AST/Node.hpp"
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34 | #include "AST/Pass.hpp"
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35 | #include "AST/Print.hpp"
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36 | #include "AST/SymbolTable.hpp"
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37 | #include "AST/TypeEnvironment.hpp"
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38 | #include "Common/FilterCombos.h"
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39 | #include "Common/Indenter.h"
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40 | #include "GenPoly/GenPoly.h"
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41 | #include "SymTab/Mangler.h"
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42 |
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43 | namespace ResolvExpr {
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44 |
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45 | // in CandidateFinder.cpp; unique ID for assertion satisfaction
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46 | extern UniqueId globalResnSlot;
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47 |
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48 | namespace {
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49 | /// Post-unification assertion satisfaction candidate
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50 | struct AssnCandidate {
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51 | ast::SymbolTable::IdData cdata; ///< Satisfying declaration
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52 | ast::ptr< ast::Type > adjType; ///< Satisfying type
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53 | ast::TypeEnvironment env; ///< Post-unification environment
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54 | ast::AssertionSet have; ///< Post-unification have-set
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55 | ast::AssertionSet need; ///< Post-unification need-set
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56 | ast::OpenVarSet open; ///< Post-unification open-var-set
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57 | ast::UniqueId resnSlot; ///< Slot for any recursive assertion IDs
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58 |
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59 | AssnCandidate(
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60 | const ast::SymbolTable::IdData c, const ast::Type * at, ast::TypeEnvironment && e,
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61 | ast::AssertionSet && h, ast::AssertionSet && n, ast::OpenVarSet && o, ast::UniqueId rs )
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62 | : cdata( c ), adjType( at ), env( std::move( e ) ), have( std::move( h ) ),
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63 | need( std::move( n ) ), open( std::move( o ) ), resnSlot( rs ) {}
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64 | };
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65 |
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66 | /// List of assertion satisfaction candidates
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67 | using AssnCandidateList = std::vector< AssnCandidate >;
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68 |
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69 | /// Reference to a single deferred item
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70 | struct DeferRef {
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71 | const ast::DeclWithType * decl;
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72 | const ast::AssertionSetValue & info;
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73 | const AssnCandidate & match;
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74 | };
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75 |
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76 | /// Wrapper for the deferred items from a single assertion satisfaction.
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77 | /// Acts like an indexed list of DeferRef
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78 | struct DeferItem {
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79 | const ast::DeclWithType * decl;
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80 | const ast::AssertionSetValue & info;
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81 | AssnCandidateList matches;
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82 |
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83 | DeferItem(
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84 | const ast::DeclWithType * d, const ast::AssertionSetValue & i, AssnCandidateList && ms )
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85 | : decl( d ), info( i ), matches( std::move( ms ) ) {}
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86 |
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87 | bool empty() const { return matches.empty(); }
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88 |
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89 | AssnCandidateList::size_type size() const { return matches.size(); }
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90 |
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91 | DeferRef operator[] ( unsigned i ) const { return { decl, info, matches[i] }; }
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92 | };
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93 |
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94 | /// List of deferred satisfaction items
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95 | using DeferList = std::vector< DeferItem >;
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96 |
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97 | /// Set of assertion satisfactions, grouped by resolution ID
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98 | using InferCache = std::unordered_map< ast::UniqueId, ast::InferredParams >;
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99 |
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100 | /// Lexicographically-ordered vector of costs.
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101 | /// Lexicographic order comes from default operator< on std::vector.
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102 | using CostVec = std::vector< Cost >;
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103 |
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104 | /// Flag for state iteration
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105 | enum IterateFlag { IterateState };
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106 |
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107 | /// Intermediate state for satisfying a set of assertions
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108 | struct SatState {
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109 | CandidateRef cand; ///< Candidate assertion is rooted on
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110 | ast::AssertionList need; ///< Assertions to find
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111 | ast::AssertionSet newNeed; ///< Recursive assertions from current satisfied assertions
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112 | DeferList deferred; ///< Deferred matches
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113 | InferCache inferred; ///< Cache of already-inferred assertions
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114 | CostVec costs; ///< Disambiguating costs of recursive assertion satisfaction
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115 | ast::SymbolTable symtab; ///< Name lookup (depends on previous assertions)
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116 |
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117 | /// Initial satisfaction state for a candidate
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118 | SatState( CandidateRef & c, const ast::SymbolTable & syms )
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119 | : cand( c ), need(), newNeed(), deferred(), inferred(), costs{ Cost::zero },
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120 | symtab( syms ) { need.swap( c->need ); }
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121 |
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122 | /// Update satisfaction state for next step after previous state
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123 | SatState( SatState && o, IterateFlag )
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124 | : cand( std::move( o.cand ) ), need( o.newNeed.begin(), o.newNeed.end() ), newNeed(),
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125 | deferred(), inferred( std::move( o.inferred ) ), costs( std::move( o.costs ) ),
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126 | symtab( o.symtab ) { costs.emplace_back( Cost::zero ); }
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127 |
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128 | /// Field-wise next step constructor
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129 | SatState(
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130 | CandidateRef && c, ast::AssertionSet && nn, InferCache && i, CostVec && cs,
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131 | ast::SymbolTable && syms )
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132 | : cand( std::move( c ) ), need( nn.begin(), nn.end() ), newNeed(), deferred(),
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133 | inferred( std::move( i ) ), costs( std::move( cs ) ), symtab( std::move( syms ) )
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134 | { costs.emplace_back( Cost::zero ); }
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135 | };
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136 |
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137 | /// Adds a captured assertion to the symbol table
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138 | void addToSymbolTable( const ast::AssertionSet & have, ast::SymbolTable & symtab ) {
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139 | for ( auto & i : have ) {
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140 | if ( i.second.isUsed ) { symtab.addId( i.first ); }
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141 | }
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142 | }
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143 |
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144 | /// Binds a single assertion, updating satisfaction state
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145 | void bindAssertion(
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146 | const ast::DeclWithType * decl, const ast::AssertionSetValue & info, CandidateRef & cand,
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147 | AssnCandidate & match, InferCache & inferred
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148 | ) {
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149 | const ast::DeclWithType * candidate = match.cdata.id;
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150 | assertf( candidate->uniqueId,
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151 | "Assertion candidate does not have a unique ID: %s", toString( candidate ).c_str() );
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152 |
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153 | ast::Expr * varExpr = match.cdata.combine( cand->expr->location, cand->cvtCost );
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154 | varExpr->result = match.adjType;
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155 | if ( match.resnSlot ) { varExpr->inferred.resnSlots().emplace_back( match.resnSlot ); }
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156 |
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157 | // place newly-inferred assertion in proper location in cache
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158 | inferred[ info.resnSlot ][ decl->uniqueId ] = ast::ParamEntry{
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159 | candidate->uniqueId, candidate, match.adjType, decl->get_type(), varExpr };
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160 | }
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161 |
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162 | /// Satisfy a single assertion
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163 | bool satisfyAssertion( ast::AssertionList::value_type & assn, SatState & sat ) {
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164 | // skip unused assertions
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165 | if ( ! assn.second.isUsed ) return true;
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166 |
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167 | // find candidates that unify with the desired type
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168 | AssnCandidateList matches;
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169 | for ( const ast::SymbolTable::IdData & cdata : sat.symtab.lookupId( assn.first->name ) ) {
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170 | const ast::DeclWithType * candidate = cdata.id;
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171 |
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172 | // build independent unification context for candidate
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173 | ast::AssertionSet have, newNeed;
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174 | ast::TypeEnvironment newEnv{ sat.cand->env };
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175 | ast::OpenVarSet newOpen{ sat.cand->open };
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176 | ast::ptr< ast::Type > toType = assn.first->get_type();
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177 | ast::ptr< ast::Type > adjType =
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178 | renameTyVars( adjustExprType( candidate->get_type(), newEnv, sat.symtab ) );
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179 |
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180 | // only keep candidates which unify
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181 | if ( unify( toType, adjType, newEnv, newNeed, have, newOpen, sat.symtab ) ) {
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182 | // set up binding slot for recursive assertions
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183 | ast::UniqueId crntResnSlot = 0;
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184 | if ( ! newNeed.empty() ) {
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185 | crntResnSlot = ++globalResnSlot;
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186 | for ( auto & a : newNeed ) { a.second.resnSlot = crntResnSlot; }
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187 | }
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188 |
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189 | matches.emplace_back(
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190 | cdata, adjType, std::move( newEnv ), std::move( newNeed ), std::move( have ),
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191 | std::move( newOpen ), crntResnSlot );
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192 | }
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193 | }
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194 |
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195 | // break if no satisfying match
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196 | if ( matches.empty() ) return false;
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197 |
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198 | // defer if too many satisfying matches
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199 | if ( matches.size() > 1 ) {
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200 | sat.deferred.emplace_back( assn.first, assn.second, std::move( matches ) );
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201 | return true;
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202 | }
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203 |
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204 | // otherwise bind unique match in ongoing scope
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205 | AssnCandidate & match = matches.front();
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206 | addToSymbolTable( match.have, sat.symtab );
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207 | sat.newNeed.insert( match.need.begin(), match.need.end() );
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208 | sat.cand->env = std::move( match.env );
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209 | sat.cand->open = std::move( match.open );
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210 |
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211 | bindAssertion( assn.first, assn.second, sat.cand, match, sat.inferred );
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212 | return true;
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213 | }
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214 |
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215 | /// Map of candidate return types to recursive assertion satisfaction costs
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216 | using PruneMap = std::unordered_map< std::string, CostVec >;
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217 |
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218 | /// Gets the pruning key for a candidate (derived from environment-adjusted return type)
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219 | std::string pruneKey( const Candidate & cand ) {
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220 | ast::ptr< ast::Type > resType = cand.expr->result;
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221 | cand.env.apply( resType );
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222 | return Mangle::mangle( resType, Mangle::typeMode() );
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223 | }
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224 |
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225 | /// Associates inferred parameters with an expression
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226 | struct InferMatcher final {
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227 | InferCache & inferred;
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228 |
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229 | InferMatcher( InferCache & inferred ) : inferred( inferred ) {}
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230 |
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231 | const ast::Expr * postmutate( const ast::Expr * expr ) {
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232 | // Skip if no slots to find
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233 | if ( expr->inferred.mode != ast::Expr::InferUnion::Slots ) return expr;
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234 |
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235 | // find inferred parameters for resolution slots
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236 | ast::InferredParams newInferred;
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237 | for ( UniqueId slot : expr->inferred.resnSlots() ) {
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238 | // fail if no matching assertions found
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239 | auto it = inferred.find( slot );
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240 | if ( it == inferred.end() ) {
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241 | assert(!"missing assertion");
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242 | }
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243 |
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244 | // place inferred parameters into new map
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245 | for ( auto & entry : it->second ) {
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246 | // recurse on inferParams of resolved expressions
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247 | entry.second.expr = postmutate( entry.second.expr );
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248 | auto res = newInferred.emplace( entry );
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249 | assert( res.second && "all assertions newly placed" );
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250 | }
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251 | }
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252 |
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253 | ast::Expr * ret = mutate( expr );
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254 | ret->inferred.set_inferParams( std::move( newInferred ) );
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255 | return ret;
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256 | }
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257 | };
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258 |
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259 | /// Replace ResnSlots with InferParams and add alternative to output list, if it meets pruning
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260 | /// threshold.
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261 | void finalizeAssertions(
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262 | CandidateRef & cand, InferCache & inferred, PruneMap & thresholds, CostVec && costs,
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263 | CandidateList & out
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264 | ) {
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265 | // prune if cheaper alternative for same key has already been generated
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266 | std::string key = pruneKey( *cand );
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267 | auto it = thresholds.find( key );
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268 | if ( it != thresholds.end() ) {
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269 | if ( it->second < costs ) return;
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270 | } else {
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271 | thresholds.emplace_hint( it, key, std::move( costs ) );
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272 | }
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273 |
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274 | // replace resolution slots with inferred parameters, add to output
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275 | ast::Pass< InferMatcher > matcher{ inferred };
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276 | cand->expr = cand->expr->accept( matcher );
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277 | out.emplace_back( cand );
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278 | }
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279 |
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280 | /// Combo iterator that combines candidates into an output list, merging their environments.
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281 | /// Rejects an appended candidate if environments cannot be merged. See `Common/FilterCombos.h`
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282 | /// for description of "combo iterator".
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283 | class CandidateEnvMerger {
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284 | /// Current list of merged candidates
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285 | std::vector< DeferRef > crnt;
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286 | /// Stack of environments to support backtracking
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287 | std::vector< ast::TypeEnvironment > envs;
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288 | /// Stack of open variables to support backtracking
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289 | std::vector< ast::OpenVarSet > opens;
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290 | /// Symbol table to use for merges
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291 | const ast::SymbolTable & symtab;
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292 |
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293 | public:
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294 | /// The merged environment/open variables and the list of candidates
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295 | struct OutType {
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296 | ast::TypeEnvironment env;
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297 | ast::OpenVarSet open;
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298 | std::vector< DeferRef > assns;
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299 | Cost cost;
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300 |
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301 | OutType(
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302 | const ast::TypeEnvironment & e, const ast::OpenVarSet & o,
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303 | const std::vector< DeferRef > & as, const ast::SymbolTable & symtab )
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304 | : env( e ), open( o ), assns( as ), cost( Cost::zero ) {
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305 | // compute combined conversion cost
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306 | for ( const DeferRef & assn : assns ) {
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307 | // compute conversion cost from satisfying decl to assertion
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308 | cost += computeConversionCost(
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309 | assn.match.adjType, assn.decl->get_type(), symtab, env );
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310 |
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311 | // mark vars+specialization on function-type assertions
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312 | const ast::FunctionType * func =
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313 | GenPoly::getFunctionType( assn.match.cdata.id->get_type() );
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314 | if ( ! func ) continue;
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315 |
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316 | for ( const ast::DeclWithType * param : func->params ) {
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317 | cost.decSpec( specCost( param->get_type() ) );
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318 | }
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319 |
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320 | cost.incVar( func->forall.size() );
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321 |
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322 | for ( const ast::TypeDecl * td : func->forall ) {
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323 | cost.decSpec( td->assertions.size() );
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324 | }
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325 | }
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326 | }
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327 |
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328 | bool operator< ( const OutType & o ) const { return cost < o.cost; }
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329 | };
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330 |
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331 | CandidateEnvMerger(
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332 | const ast::TypeEnvironment & env, const ast::OpenVarSet & open,
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333 | const ast::SymbolTable & syms )
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334 | : crnt(), envs{ env }, opens{ open }, symtab( syms ) {}
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335 |
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336 | bool append( DeferRef i ) {
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337 | ast::TypeEnvironment env = envs.back();
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338 | ast::OpenVarSet open = opens.back();
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339 | mergeOpenVars( open, i.match.open );
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340 |
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341 | if ( ! env.combine( i.match.env, open, symtab ) ) return false;
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342 |
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343 | crnt.emplace_back( i );
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344 | envs.emplace_back( std::move( env ) );
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345 | opens.emplace_back( std::move( open ) );
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346 | return true;
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347 | }
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348 |
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349 | void backtrack() {
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350 | crnt.pop_back();
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351 | envs.pop_back();
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352 | opens.pop_back();
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353 | }
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354 |
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355 | OutType finalize() { return { envs.back(), opens.back(), crnt, symtab }; }
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356 | };
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357 |
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358 | /// Limit to depth of recursion of assertion satisfaction
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359 | static const int recursionLimit = 4;
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360 | /// Maximum number of simultaneously-deferred assertions to attempt concurrent satisfaction of
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361 | static const int deferLimit = 10;
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362 | } // anonymous namespace
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363 |
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364 | void satisfyAssertions(
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365 | CandidateRef & cand, const ast::SymbolTable & symtab, CandidateList & out,
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366 | std::vector<std::string> & errors
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367 | ) {
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368 | // finish early if no assertions to satisfy
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369 | if ( cand->need.empty() ) {
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370 | out.emplace_back( cand );
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371 | return;
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372 | }
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373 |
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374 | // build list of possible combinations of satisfying declarations
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375 | std::vector< SatState > sats{ SatState{ cand, symtab } };
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376 | std::vector< SatState > nextSats{};
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377 |
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378 | // pruning thresholds by result type of output candidates.
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379 | // Candidates *should* be generated in sorted order, so no need to retroactively prune
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380 | PruneMap thresholds;
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381 |
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382 | // satisfy assertions in breadth-first order over the recursion tree of assertion satisfaction.
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383 | // Stop recursion at a limited number of levels deep to avoid infinite loops.
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384 | for ( unsigned level = 0; level < recursionLimit; ++level ) {
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385 | // for each current mutually-compatible set of assertions
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386 | for ( SatState & sat : sats ) {
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387 | // stop this branch if a better option is already found
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388 | auto it = thresholds.find( pruneKey( *sat.cand ) );
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389 | if ( it != thresholds.end() && it->second < sat.costs ) goto nextSat;
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390 |
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391 | // make initial pass at matching assertions
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392 | for ( auto & assn : sat.need ) {
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393 | // fail early if any assertion is not satisfiable
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394 | if ( ! satisfyAssertion( assn, sat ) ) {
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395 | Indenter tabs{ 3 };
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396 | std::ostringstream ss;
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397 | ss << tabs << "Unsatisfiable alternative:\n";
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398 | print( ss, *sat.cand, ++tabs );
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399 | ss << (tabs-1) << "Could not satisfy assertion:\n";
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400 | ast::print( ss, assn.first, tabs );
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401 |
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402 | errors.emplace_back( ss.str() );
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403 | goto nextSat;
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404 | }
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405 | }
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406 |
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407 | if ( sat.deferred.empty() ) {
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408 | // either add successful match or push back next state
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409 | if ( sat.newNeed.empty() ) {
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410 | finalizeAssertions(
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411 | sat.cand, sat.inferred, thresholds, std::move( sat.costs ), out );
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412 | } else {
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413 | nextSats.emplace_back( std::move( sat ), IterateState );
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414 | }
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415 | } else if ( sat.deferred.size() > deferLimit ) {
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416 | // too many deferred assertions to attempt mutual compatibility
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417 | Indenter tabs{ 3 };
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418 | std::ostringstream ss;
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419 | ss << tabs << "Unsatisfiable alternative:\n";
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420 | print( ss, *sat.cand, ++tabs );
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421 | ss << (tabs-1) << "Too many non-unique satisfying assignments for assertions:\n";
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422 | for ( const auto & d : sat.deferred ) {
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423 | ast::print( ss, d.decl, tabs );
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424 | }
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425 |
|
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426 | errors.emplace_back( ss.str() );
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427 | goto nextSat;
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428 | } else {
|
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429 | // combine deferred assertions by mutual compatibility
|
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430 | std::vector< CandidateEnvMerger::OutType > compatible = filterCombos(
|
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431 | sat.deferred, CandidateEnvMerger{ sat.cand->env, sat.cand->open, sat.symtab } );
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432 |
|
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433 | // fail early if no mutually-compatible assertion satisfaction
|
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434 | if ( compatible.empty() ) {
|
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435 | Indenter tabs{ 3 };
|
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436 | std::ostringstream ss;
|
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437 | ss << tabs << "Unsatisfiable alternative:\n";
|
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438 | print( ss, *sat.cand, ++tabs );
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439 | ss << (tabs-1) << "No mutually-compatible satisfaction for assertions:\n";
|
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440 | for ( const auto& d : sat.deferred ) {
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441 | ast::print( ss, d.decl, tabs );
|
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442 | }
|
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443 |
|
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444 | errors.emplace_back( ss.str() );
|
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445 | goto nextSat;
|
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446 | }
|
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447 |
|
---|
448 | // sort by cost (for overall pruning order)
|
---|
449 | std::sort( compatible.begin(), compatible.end() );
|
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450 |
|
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451 | // process mutually-compatible combinations
|
---|
452 | for ( auto & compat : compatible ) {
|
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453 | // set up next satisfaction state
|
---|
454 | CandidateRef nextCand = std::make_shared<Candidate>(
|
---|
455 | sat.cand->expr, std::move( compat.env ), std::move( compat.open ),
|
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456 | ast::AssertionSet{} /* need moved into satisfaction state */,
|
---|
457 | sat.cand->cost, sat.cand->cvtCost );
|
---|
458 |
|
---|
459 | ast::AssertionSet nextNewNeed{ sat.newNeed };
|
---|
460 | InferCache nextInferred{ sat.inferred };
|
---|
461 |
|
---|
462 | CostVec nextCosts{ sat.costs };
|
---|
463 | nextCosts.back() += compat.cost;
|
---|
464 |
|
---|
465 | ast::SymbolTable nextSymtab{ sat.symtab };
|
---|
466 |
|
---|
467 | // add compatible assertions to new satisfaction state
|
---|
468 | for ( DeferRef r : compat.assns ) {
|
---|
469 | AssnCandidate match = r.match;
|
---|
470 | addToSymbolTable( match.have, nextSymtab );
|
---|
471 | nextNewNeed.insert( match.need.begin(), match.need.end() );
|
---|
472 |
|
---|
473 | bindAssertion( r.decl, r.info, nextCand, match, nextInferred );
|
---|
474 | }
|
---|
475 |
|
---|
476 | // either add successful match or push back next state
|
---|
477 | if ( nextNewNeed.empty() ) {
|
---|
478 | finalizeAssertions(
|
---|
479 | nextCand, nextInferred, thresholds, std::move( nextCosts ), out );
|
---|
480 | } else {
|
---|
481 | nextSats.emplace_back(
|
---|
482 | std::move( nextCand ), std::move( nextNewNeed ),
|
---|
483 | std::move( nextInferred ), std::move( nextCosts ),
|
---|
484 | std::move( nextSymtab ) );
|
---|
485 | }
|
---|
486 | }
|
---|
487 | }
|
---|
488 | nextSat:; }
|
---|
489 |
|
---|
490 | // finish or reset for next round
|
---|
491 | if ( nextSats.empty() ) return;
|
---|
492 | sats.swap( nextSats );
|
---|
493 | nextSats.clear();
|
---|
494 | }
|
---|
495 |
|
---|
496 | // exceeded recursion limit if reaches here
|
---|
497 | if ( out.empty() ) {
|
---|
498 | SemanticError( cand->expr->location, "Too many recursive assertions" );
|
---|
499 | }
|
---|
500 | }
|
---|
501 |
|
---|
502 | } // namespace ResolvExpr
|
---|
503 |
|
---|
504 | // Local Variables: //
|
---|
505 | // tab-width: 4 //
|
---|
506 | // mode: c++ //
|
---|
507 | // compile-command: "make install" //
|
---|
508 | // End: //
|
---|