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 | // ResolveAssertions.cc --
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8 | //
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9 | // Author : Aaron B. Moss
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10 | // Created On : Fri Oct 05 13:46:00 2018
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11 | // Last Modified By : Aaron B. Moss
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12 | // Last Modified On : Fri Oct 05 13:46:00 2018
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13 | // Update Count : 1
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14 | //
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15 |
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16 | #include "ResolveAssertions.h"
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17 |
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18 | #include <algorithm> // for sort
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19 | #include <cassert> // for assertf
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20 | #include <list> // for list
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21 | #include <memory> // for unique_ptr
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22 | #include <sstream> // for ostringstream
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23 | #include <string> // for string
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24 | #include <unordered_map> // for unordered_map, unordered_multimap
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25 | #include <utility> // for move
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26 | #include <vector> // for vector
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27 |
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28 | #include "Alternative.h" // for Alternative, AssertionItem, AssertionList
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29 | #include "Common/FilterCombos.h" // for filterCombos
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30 | #include "Common/Indenter.h" // for Indenter
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31 | #include "Common/utility.h" // for sort_mins
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32 | #include "ResolvExpr/RenameVars.h" // for renameTyVars
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33 | #include "SymTab/Indexer.h" // for Indexer
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34 | #include "SymTab/Mangler.h" // for Mangler
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35 | #include "SynTree/Expression.h" // for InferredParams
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36 | #include "TypeEnvironment.h" // for TypeEnvironment, etc.
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37 | #include "typeops.h" // for adjustExprType, specCost
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38 | #include "Unify.h" // for unify
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39 |
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40 | namespace ResolvExpr {
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41 | /// Unified assertion candidate
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42 | struct AssnCandidate {
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43 | SymTab::Indexer::IdData cdata; ///< Satisfying declaration
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44 | Type* adjType; ///< Satisfying type
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45 | TypeEnvironment env; ///< Post-unification environment
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46 | AssertionSet have; ///< Post-unification have-set
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47 | AssertionSet need; ///< Post-unification need-set
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48 | OpenVarSet openVars; ///< Post-unification open-var set
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49 | UniqueId resnSlot; ///< Slot for any recursive assertion IDs
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50 |
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51 | AssnCandidate( const SymTab::Indexer::IdData& cdata, Type* adjType, TypeEnvironment&& env,
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52 | AssertionSet&& have, AssertionSet&& need, OpenVarSet&& openVars, UniqueId resnSlot )
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53 | : cdata(cdata), adjType(adjType), env(std::move(env)), have(std::move(have)),
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54 | need(std::move(need)), openVars(std::move(openVars)), resnSlot(resnSlot) {}
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55 | };
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56 |
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57 | /// List of candidate assertion resolutions
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58 | using CandidateList = std::vector<AssnCandidate>;
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59 |
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60 | /// Reference to single deferred item
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61 | struct DeferRef {
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62 | const DeclarationWithType* decl;
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63 | const AssertionSetValue& info;
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64 | const AssnCandidate& match;
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65 | };
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66 |
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67 | /// Wrapper for the deferred items from a single assertion resolution.
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68 | /// Acts like indexed list of DeferRef
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69 | struct DeferItem {
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70 | const DeclarationWithType* decl;
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71 | const AssertionSetValue& info;
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72 | CandidateList matches;
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73 |
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74 | DeferItem( DeclarationWithType* decl, const AssertionSetValue& info, CandidateList&& matches )
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75 | : decl(decl), info(info), matches(std::move(matches)) {}
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76 |
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77 | bool empty() const { return matches.empty(); }
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78 |
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79 | CandidateList::size_type size() const { return matches.size(); }
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80 |
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81 | DeferRef operator[] ( unsigned i ) const { return { decl, info, matches[i] }; }
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82 | };
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83 |
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84 | /// List of deferred resolution items
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85 | using DeferList = std::vector<DeferItem>;
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86 |
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87 | /// Combo iterator that combines candidates into an output list, merging their environments.
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88 | /// Rejects an appended candidate if the environments cannot be merged.
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89 | class CandidateEnvMerger {
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90 | /// Current list of merged candidates
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91 | std::vector<DeferRef> crnt;
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92 | /// Stack of environments to support backtracking
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93 | std::vector<TypeEnvironment> envs;
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94 | /// Stack of open variables to support backtracking
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95 | std::vector<OpenVarSet> varSets;
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96 | /// Indexer to use for merges
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97 | const SymTab::Indexer& indexer;
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98 |
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99 | public:
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100 | /// The merged environment/open variables and the list of candidates
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101 | struct OutType {
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102 | TypeEnvironment env;
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103 | OpenVarSet openVars;
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104 | std::vector<DeferRef> assns;
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105 |
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106 | OutType( const TypeEnvironment& env, const OpenVarSet& openVars,
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107 | const std::vector<DeferRef>& assns )
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108 | : env(env), openVars(openVars), assns(assns) {}
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109 | };
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110 |
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111 | CandidateEnvMerger( const TypeEnvironment& env, const OpenVarSet& openVars,
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112 | const SymTab::Indexer& indexer )
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113 | : crnt(), envs{ env }, varSets{ openVars }, indexer(indexer) {}
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114 |
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115 | bool append( DeferRef i ) {
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116 | TypeEnvironment env = envs.back();
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117 | OpenVarSet openVars = varSets.back();
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118 | mergeOpenVars( openVars, i.match.openVars );
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119 |
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120 | if ( ! env.combine( i.match.env, openVars, indexer ) ) return false;
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121 |
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122 | crnt.emplace_back( i );
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123 | envs.emplace_back( env );
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124 | varSets.emplace_back( openVars );
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125 | return true;
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126 | }
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127 |
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128 | void backtrack() {
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129 | crnt.pop_back();
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130 | envs.pop_back();
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131 | varSets.pop_back();
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132 | }
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133 |
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134 | OutType finalize() { return { envs.back(), varSets.back(), crnt }; }
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135 | };
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136 |
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137 | /// Comparator for CandidateEnvMerger outputs that sums their costs and caches the stored
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138 | /// sums
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139 | struct CandidateCost {
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140 | using Element = CandidateEnvMerger::OutType;
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141 | private:
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142 | using Memo = std::unordered_map<const Element*, Cost>;
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143 | mutable Memo cache; ///< cache of element costs
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144 | const SymTab::Indexer& indexer; ///< Indexer for costing
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145 |
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146 | public:
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147 | CandidateCost( const SymTab::Indexer& indexer ) : indexer(indexer) {}
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148 |
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149 | /// reports the cost of an element
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150 | Cost get( const Element& x ) const {
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151 | Memo::const_iterator it = cache.find( &x );
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152 | if ( it == cache.end() ) {
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153 | Cost k = Cost::zero;
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154 | for ( const auto& assn : x.assns ) {
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155 | k += computeConversionCost(
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156 | assn.match.adjType, assn.decl->get_type(), indexer, x.env );
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157 |
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158 | // mark vars+specialization cost on function-type assertions
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159 | PointerType* ptr = dynamic_cast< PointerType* >( assn.decl->get_type() );
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160 | if ( ! ptr ) continue;
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161 | FunctionType* func = dynamic_cast< FunctionType* >( ptr->base );
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162 | if ( ! func ) continue;
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163 |
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164 | for ( DeclarationWithType* formal : func->parameters ) {
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165 | k.decSpec( specCost( formal->get_type() ) );
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166 | }
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167 | k.incVar( func->forall.size() );
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168 | for ( TypeDecl* td : func->forall ) {
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169 | k.decSpec( td->assertions.size() );
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170 | }
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171 | }
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172 | it = cache.emplace_hint( it, &x, k );
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173 | }
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174 | return it->second;
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175 | }
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176 |
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177 | /// compares elements by cost
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178 | bool operator() ( const Element& a, const Element& b ) const {
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179 | return get( a ) < get( b );
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180 | }
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181 | };
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182 |
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183 | /// Set of assertion resolutions, grouped by resolution ID
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184 | using InferCache = std::unordered_map< UniqueId, InferredParams >;
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185 |
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186 | /// Flag for state iteration
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187 | enum IterateFlag { IterateState };
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188 |
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189 | /// State needed to resolve a set of assertions
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190 | struct ResnState {
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191 | Alternative alt; ///< Alternative assertion is rooted on
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192 | AssertionList need; ///< Assertions to find
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193 | AssertionSet newNeed; ///< New assertions for current resolutions
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194 | DeferList deferred; ///< Deferred matches
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195 | InferCache inferred; ///< Cache of already-inferred parameters
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196 | SymTab::Indexer& indexer; ///< Name lookup (depends on previous assertions)
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197 |
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198 | /// Initial resolution state for an alternative
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199 | ResnState( Alternative& a, SymTab::Indexer& indexer )
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200 | : alt(a), need(), newNeed(), deferred(), inferred(), indexer(indexer) {
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201 | need.swap( a.need );
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202 | }
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203 |
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204 | /// Updated resolution state with new need-list
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205 | ResnState( ResnState&& o, IterateFlag )
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206 | : alt(std::move(o.alt)), need(o.newNeed.begin(), o.newNeed.end()), newNeed(), deferred(),
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207 | inferred(std::move(o.inferred)), indexer(o.indexer) {}
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208 | };
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209 |
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210 | /// Binds a single assertion, updating resolution state
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211 | void bindAssertion( const DeclarationWithType* decl, AssertionSetValue info, Alternative& alt,
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212 | AssnCandidate& match, InferCache& inferred ) {
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213 |
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214 | DeclarationWithType* candidate = match.cdata.id;
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215 | assertf( candidate->get_uniqueId(), "Assertion candidate does not have a unique ID: %s", toString( candidate ).c_str() );
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216 |
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217 | Expression* varExpr = match.cdata.combine( alt.cvtCost );
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218 | delete varExpr->result;
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219 | varExpr->result = match.adjType->clone();
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220 | if ( match.resnSlot ) { varExpr->resnSlots.push_back( match.resnSlot ); }
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221 |
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222 | // place newly-inferred assertion in proper place in cache
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223 | inferred[ info.resnSlot ][ decl->get_uniqueId() ] = ParamEntry{
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224 | candidate->get_uniqueId(), match.adjType->clone(), decl->get_type()->clone(),
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225 | varExpr };
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226 | }
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227 |
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228 | /// Adds a captured assertion to the symbol table
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229 | void addToIndexer( AssertionSet &assertSet, SymTab::Indexer &indexer ) {
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230 | for ( auto& i : assertSet ) {
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231 | if ( i.second.isUsed ) {
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232 | indexer.addId( i.first );
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233 | }
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234 | }
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235 | }
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236 |
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237 | // in AlternativeFinder.cc; unique ID for assertion resolutions
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238 | extern UniqueId globalResnSlot;
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239 |
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240 | /// Resolve a single assertion, in context
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241 | bool resolveAssertion( AssertionItem& assn, ResnState& resn ) {
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242 | // skip unused assertions
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243 | if ( ! assn.info.isUsed ) return true;
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244 |
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245 | // lookup candidates for this assertion
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246 | std::list< SymTab::Indexer::IdData > candidates;
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247 | resn.indexer.lookupId( assn.decl->name, candidates );
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248 |
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249 | // find the candidates that unify with the desired type
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250 | CandidateList matches;
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251 | for ( const auto& cdata : candidates ) {
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252 | DeclarationWithType* candidate = cdata.id;
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253 |
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254 | // build independent unification context for candidate
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255 | AssertionSet have, newNeed;
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256 | TypeEnvironment newEnv{ resn.alt.env };
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257 | OpenVarSet newOpenVars{ resn.alt.openVars };
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258 | Type* adjType = candidate->get_type()->clone();
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259 | adjustExprType( adjType, newEnv, resn.indexer );
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260 | renameTyVars( adjType );
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261 |
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262 | // keep unifying candidates
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263 | if ( unify( assn.decl->get_type(), adjType, newEnv, newNeed, have, newOpenVars,
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264 | resn.indexer ) ) {
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265 | // set up binding slot for recursive assertions
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266 | UniqueId crntResnSlot = 0;
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267 | if ( ! newNeed.empty() ) {
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268 | crntResnSlot = ++globalResnSlot;
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269 | for ( auto& a : newNeed ) {
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270 | a.second.resnSlot = crntResnSlot;
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271 | }
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272 | }
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273 |
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274 | matches.emplace_back( cdata, adjType, std::move(newEnv), std::move(have),
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275 | std::move(newNeed), std::move(newOpenVars), crntResnSlot );
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276 | } else {
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277 | delete adjType;
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278 | }
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279 | }
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280 |
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281 | // break if no suitable assertion
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282 | if ( matches.empty() ) return false;
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283 |
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284 | // defer if too many suitable assertions
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285 | if ( matches.size() > 1 ) {
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286 | resn.deferred.emplace_back( assn.decl, assn.info, std::move(matches) );
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287 | return true;
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288 | }
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289 |
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290 | // otherwise bind current match in ongoing scope
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291 | AssnCandidate& match = matches.front();
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292 | addToIndexer( match.have, resn.indexer );
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293 | resn.newNeed.insert( match.need.begin(), match.need.end() );
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294 | resn.alt.env = std::move(match.env);
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295 | resn.alt.openVars = std::move(match.openVars);
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296 |
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297 | bindAssertion( assn.decl, assn.info, resn.alt, match, resn.inferred );
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298 | return true;
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299 | }
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300 |
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301 | /// Associates inferred parameters with an expression
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302 | struct InferMatcher {
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303 | InferCache& inferred;
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304 |
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305 | InferMatcher( InferCache& inferred ) : inferred( inferred ) {}
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306 |
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307 | Expression* postmutate( Expression* expr ) {
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308 | // defer missing inferred parameters until they are hopefully found later
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309 | std::vector<UniqueId> missingSlots;
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310 | // place inferred parameters into resolution slots
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311 | for ( UniqueId slot : expr->resnSlots ) {
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312 | // fail if no matching parameters found
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313 | auto it = inferred.find( slot );
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314 | if ( it == inferred.end() ) {
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315 | missingSlots.push_back( slot );
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316 | continue;
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317 | }
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318 | InferredParams& inferParams = it->second;
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319 |
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320 | // place inferred parameters into proper place in expression
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321 | for ( auto& entry : inferParams ) {
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322 | // recurse on inferParams of resolved expressions
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323 | entry.second.expr = postmutate( entry.second.expr );
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324 | // xxx - look at entry.second.inferParams?
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325 | expr->inferParams[ entry.first ] = entry.second;
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326 | }
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327 | }
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328 |
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329 | // clear resolution slots and return
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330 | expr->resnSlots.swap( missingSlots );
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331 | return expr;
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332 | }
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333 | };
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334 |
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335 | void finalizeAssertions( Alternative& alt, InferCache& inferred, AltList& out ) {
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336 | PassVisitor<InferMatcher> matcher{ inferred };
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337 | alt.expr = alt.expr->acceptMutator( matcher );
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338 | out.emplace_back( alt );
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339 | }
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340 |
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341 | /// Limit to depth of recursion of assertion satisfaction
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342 | static const int recursionLimit = /* 10 */ 4;
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343 |
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344 | void resolveAssertions( Alternative& alt, const SymTab::Indexer& indexer, AltList& out, std::list<std::string>& errors ) {
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345 | // finish early if no assertions to resolve
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346 | if ( alt.need.empty() ) {
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347 | out.emplace_back( alt );
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348 | return;
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349 | }
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350 |
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351 | // build list of possible resolutions
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352 | using ResnList = std::vector<ResnState>;
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353 | SymTab::Indexer root_indexer{ indexer };
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354 | ResnList resns{ ResnState{ alt, root_indexer } };
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355 | ResnList new_resns{};
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356 |
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357 | // resolve assertions in breadth-first-order up to a limited number of levels deep
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358 | for ( unsigned level = 0; level < recursionLimit; ++level ) {
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359 | // scan over all mutually-compatible resolutions
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360 | for ( auto& resn : resns ) {
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361 | // make initial pass at matching assertions
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362 | for ( auto& assn : resn.need ) {
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363 | // fail early if any assertion is not resolvable
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364 | if ( ! resolveAssertion( assn, resn ) ) {
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365 | Indenter tabs{ Indenter::tabsize, 3 };
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366 | std::ostringstream ss;
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367 | ss << tabs << "Unsatisfiable alternative:\n";
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368 | resn.alt.print( ss, ++tabs );
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369 | ss << --tabs << "Could not satisfy assertion:\n";
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370 | assn.decl->print( ss, ++tabs );
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371 |
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372 | errors.emplace_back( ss.str() );
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373 | goto nextResn;
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374 | }
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375 | }
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376 |
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377 | if ( resn.deferred.empty() ) {
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378 | // either add successful match or push back next state
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379 | if ( resn.newNeed.empty() ) {
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380 | finalizeAssertions( resn.alt, resn.inferred, out );
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381 | } else {
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382 | new_resns.emplace_back( std::move(resn), IterateState );
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383 | }
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384 | } else {
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385 | // resolve deferred assertions by mutual compatibility
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386 | std::vector<CandidateEnvMerger::OutType> compatible = filterCombos(
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387 | resn.deferred,
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388 | CandidateEnvMerger{ resn.alt.env, resn.alt.openVars, resn.indexer } );
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389 | // fail early if no mutually-compatible assertion satisfaction
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390 | if ( compatible.empty() ) {
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391 | Indenter tabs{ Indenter::tabsize, 3 };
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392 | std::ostringstream ss;
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393 | ss << tabs << "Unsatisfiable alternative:\n";
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394 | resn.alt.print( ss, ++tabs );
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395 | ss << --tabs << "No mutually-compatible satisfaction for assertions:\n";
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396 | ++tabs;
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397 | for ( const auto& d : resn.deferred ) {
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398 | d.decl->print( ss, tabs );
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399 | }
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400 |
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401 | errors.emplace_back( ss.str() );
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402 | goto nextResn;
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403 | }
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404 | // sort by cost
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405 | CandidateCost coster{ resn.indexer };
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406 | std::sort( compatible.begin(), compatible.end(), coster );
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407 |
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408 | // keep map of detected options
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409 | std::unordered_map<std::string, Cost> found;
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410 | for ( auto& compat : compatible ) {
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411 | // filter by environment-adjusted result type, keep only cheapest option
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412 | Type* resType = alt.expr->result->clone();
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413 | compat.env.apply( resType );
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414 | // skip if cheaper alternative already processed with same result type
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415 | Cost resCost = coster.get( compat );
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416 | auto it = found.emplace( SymTab::Mangler::mangleType( resType ), resCost );
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417 | delete resType;
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418 | if ( it.second == false && it.first->second < resCost ) continue;
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419 |
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420 | // proceed with resolution step
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421 | ResnState new_resn = resn;
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422 |
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423 | // add compatible assertions to new resolution state
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424 | for ( DeferRef r : compat.assns ) {
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425 | AssnCandidate match = r.match;
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426 | addToIndexer( match.have, new_resn.indexer );
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427 | new_resn.newNeed.insert( match.need.begin(), match.need.end() );
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428 |
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429 | bindAssertion( r.decl, r.info, new_resn.alt, match, new_resn.inferred );
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430 | }
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431 |
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432 | // set mutual environment into resolution state
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433 | new_resn.alt.env = std::move(compat.env);
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434 | new_resn.alt.openVars = std::move(compat.openVars);
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435 |
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436 | // either add sucessful match or push back next state
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437 | if ( new_resn.newNeed.empty() ) {
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438 | finalizeAssertions( new_resn.alt, new_resn.inferred, out );
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439 | } else {
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440 | new_resns.emplace_back( std::move(new_resn), IterateState );
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441 | }
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442 | }
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443 | }
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444 | nextResn:; }
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445 |
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446 | // finish or reset for next round
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447 | if ( new_resns.empty() ) return;
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448 | resns.swap( new_resns );
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449 | new_resns.clear();
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450 | }
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451 |
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452 | // exceeded recursion limit if reaches here
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453 | if ( out.empty() ) {
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454 | SemanticError( alt.expr->location, "Too many recursive assertions" );
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455 | }
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456 | }
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457 | } // namespace ResolvExpr
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458 |
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459 | // Local Variables: //
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460 | // tab-width: 4 //
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461 | // mode: c++ //
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462 | // compile-command: "make install" //
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463 | // End: //
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