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 : Andrew Beach
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12 | // Last Modified On : Thu Aug 8 16:47:00 2019
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13 | // Update Count : 3
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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 "GenPoly/GenPoly.h" // for getFunctionType
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33 | #include "ResolvExpr/RenameVars.h" // for renameTyVars
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34 | #include "SymTab/Indexer.h" // for Indexer
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35 | #include "SymTab/Mangler.h" // for Mangler
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36 | #include "SynTree/Expression.h" // for InferredParams
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37 | #include "TypeEnvironment.h" // for TypeEnvironment, etc.
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38 | #include "typeops.h" // for adjustExprType, specCost
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39 | #include "Unify.h" // for unify
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40 |
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41 | namespace ResolvExpr {
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42 | /// Unified assertion candidate
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43 | struct AssnCandidate {
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44 | SymTab::Indexer::IdData cdata; ///< Satisfying declaration
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45 | Type* adjType; ///< Satisfying type
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46 | TypeEnvironment env; ///< Post-unification environment
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47 | AssertionSet have; ///< Post-unification have-set
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48 | AssertionSet need; ///< Post-unification need-set
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49 | OpenVarSet openVars; ///< Post-unification open-var set
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50 | UniqueId resnSlot; ///< Slot for any recursive assertion IDs
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51 |
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52 | AssnCandidate( const SymTab::Indexer::IdData& cdata, Type* adjType, TypeEnvironment&& env,
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53 | AssertionSet&& have, AssertionSet&& need, OpenVarSet&& openVars, UniqueId resnSlot )
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54 | : cdata(cdata), adjType(adjType), env(std::move(env)), have(std::move(have)),
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55 | need(std::move(need)), openVars(std::move(openVars)), resnSlot(resnSlot) {}
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56 | };
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57 |
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58 | /// List of candidate assertion resolutions
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59 | using CandidateList = std::vector<AssnCandidate>;
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60 |
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61 | /// Reference to single deferred item
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62 | struct DeferRef {
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63 | const DeclarationWithType* decl;
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64 | const AssertionSetValue& info;
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65 | const AssnCandidate& match;
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66 | };
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67 |
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68 | /// Wrapper for the deferred items from a single assertion resolution.
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69 | /// Acts like indexed list of DeferRef
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70 | struct DeferItem {
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71 | const DeclarationWithType* decl;
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72 | const AssertionSetValue& info;
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73 | CandidateList matches;
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74 |
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75 | DeferItem( const DeclarationWithType* decl, const AssertionSetValue& info, CandidateList&& matches )
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76 | : decl(decl), info(info), matches(std::move(matches)) {}
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77 |
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78 | bool empty() const { return matches.empty(); }
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79 |
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80 | CandidateList::size_type size() const { return matches.size(); }
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81 |
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82 | DeferRef operator[] ( unsigned i ) const { return { decl, info, matches[i] }; }
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83 | };
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84 |
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85 | /// List of deferred resolution items
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86 | using DeferList = std::vector<DeferItem>;
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87 |
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88 | /// Combo iterator that combines candidates into an output list, merging their environments.
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89 | /// Rejects an appended candidate if the environments cannot be merged.
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90 | class CandidateEnvMerger {
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91 | /// Current list of merged candidates
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92 | std::vector<DeferRef> crnt;
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93 | /// Stack of environments to support backtracking
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94 | std::vector<TypeEnvironment> envs;
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95 | /// Stack of open variables to support backtracking
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96 | std::vector<OpenVarSet> varSets;
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97 | /// Indexer to use for merges
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98 | const SymTab::Indexer& indexer;
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99 |
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100 | public:
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101 | /// The merged environment/open variables and the list of candidates
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102 | struct OutType {
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103 | TypeEnvironment env;
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104 | OpenVarSet openVars;
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105 | std::vector<DeferRef> assns;
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106 | Cost cost;
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107 |
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108 | OutType( const TypeEnvironment& env, const OpenVarSet& openVars,
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109 | const std::vector<DeferRef>& assns )
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110 | : env(env), openVars(openVars), assns(assns), cost(Cost::infinity) {}
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111 | };
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112 |
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113 | CandidateEnvMerger( const TypeEnvironment& env, const OpenVarSet& openVars,
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114 | const SymTab::Indexer& indexer )
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115 | : crnt(), envs{ env }, varSets{ openVars }, indexer(indexer) {}
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116 |
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117 | bool append( DeferRef i ) {
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118 | TypeEnvironment env = envs.back();
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119 | OpenVarSet openVars = varSets.back();
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120 | mergeOpenVars( openVars, i.match.openVars );
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121 |
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122 | if ( ! env.combine( i.match.env, openVars, indexer ) ) return false;
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123 |
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124 | crnt.emplace_back( i );
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125 | envs.emplace_back( env );
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126 | varSets.emplace_back( openVars );
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127 | return true;
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128 | }
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129 |
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130 | void backtrack() {
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131 | crnt.pop_back();
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132 | envs.pop_back();
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133 | varSets.pop_back();
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134 | }
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135 |
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136 | OutType finalize() { return { envs.back(), varSets.back(), crnt }; }
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137 | };
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138 |
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139 | /// Comparator for CandidateEnvMerger outputs that sums their costs and caches the stored
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140 | /// sums
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141 | struct CandidateCost {
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142 | using Element = CandidateEnvMerger::OutType;
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143 | private:
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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( Element& x ) const {
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151 | // check cached cost
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152 | if ( x.cost != Cost::infinity ) return x.cost;
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153 |
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154 | // generate cost
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155 | Cost k = Cost::zero;
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156 | for ( const auto& assn : x.assns ) {
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157 | // compute conversion cost from satisfying decl to assertion
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158 | assert( !assn.match.adjType->get_lvalue() );
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159 | k += computeConversionCost(
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160 | assn.match.adjType, assn.decl->get_type(), false, indexer, x.env );
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161 |
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162 | // mark vars+specialization cost on function-type assertions
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163 | FunctionType* func = GenPoly::getFunctionType( assn.match.cdata.id->get_type() );
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164 | if ( ! func ) continue;
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165 |
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166 | for ( DeclarationWithType* formal : func->parameters ) {
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167 | k.decSpec( specCost( formal->get_type() ) );
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168 | }
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169 | k.incVar( func->forall.size() );
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170 | for ( TypeDecl* td : func->forall ) {
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171 | k.decSpec( td->assertions.size() );
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172 | }
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173 | }
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174 |
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175 | // cache and return
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176 | x.cost = k;
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177 | return k;
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178 | }
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179 |
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180 | /// compares elements by cost
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181 | bool operator() ( Element& a, Element& b ) const {
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182 | return get( a ) < get( b );
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183 | }
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184 | };
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185 |
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186 | /// Set of assertion resolutions, grouped by resolution ID
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187 | using InferCache = std::unordered_map< UniqueId, InferredParams >;
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188 |
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189 | /// Lexicographically-ordered vector of costs
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190 | using CostVec = std::vector< Cost >;
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191 |
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192 | int compare( const CostVec & a, const CostVec & b ) {
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193 | unsigned i = 0;
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194 | do {
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195 | // lex-compare where shorter one is less
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196 | if ( i == a.size() ) {
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197 | return i == b.size() ? 0 : -1;
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198 | }
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199 | if ( i == b.size() /* && i < a.size() */ ) return 1;
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200 |
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201 | int c = a[i].compare( b[i] );
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202 | if ( c != 0 ) return c;
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203 | } while ( ++i );
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204 | assert(!"unreachable");
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205 | }
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206 |
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207 | bool operator< ( const CostVec & a, const CostVec & b ) { return compare( a, b ) < 0; }
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208 |
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209 | /// Flag for state iteration
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210 | enum IterateFlag { IterateState };
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211 |
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212 | /// State needed to resolve a set of assertions
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213 | struct ResnState {
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214 | Alternative alt; ///< Alternative assertion is rooted on
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215 | AssertionList need; ///< Assertions to find
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216 | AssertionSet newNeed; ///< New assertions for current resolutions
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217 | DeferList deferred; ///< Deferred matches
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218 | InferCache inferred; ///< Cache of already-inferred parameters
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219 | CostVec costs; ///< Costs of recursive assertion satisfaction for disambiguation
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220 | SymTab::Indexer& indexer; ///< Name lookup (depends on previous assertions)
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221 |
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222 | /// Initial resolution state for an alternative
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223 | ResnState( Alternative & a, SymTab::Indexer & indexer )
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224 | : alt(a), need(), newNeed(), deferred(), inferred(), costs{ Cost::zero }, indexer(indexer) {
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225 | need.swap( a.need );
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226 | }
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227 |
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228 | /// Updated resolution state with new need-list
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229 | ResnState( ResnState && o, IterateFlag )
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230 | : alt(std::move(o.alt)), need(o.newNeed.begin(), o.newNeed.end()), newNeed(), deferred(),
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231 | inferred(std::move(o.inferred)), costs(o.costs), indexer(o.indexer) {
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232 | costs.emplace_back( Cost::zero );
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233 | }
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234 | };
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235 |
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236 | /// Binds a single assertion, updating resolution state
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237 | void bindAssertion( const DeclarationWithType * decl, AssertionSetValue info, Alternative & alt,
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238 | AssnCandidate & match, InferCache & inferred ) {
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239 |
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240 | const DeclarationWithType * candidate = match.cdata.id;
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241 | assertf( candidate->uniqueId, "Assertion candidate does not have a unique ID: %s", toString( candidate ).c_str() );
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242 |
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243 | Expression * varExpr = match.cdata.combine( alt.cvtCost );
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244 | delete varExpr->result;
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245 | varExpr->result = match.adjType->clone();
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246 | if ( match.resnSlot ) { varExpr->resnSlots.push_back( match.resnSlot ); }
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247 |
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248 | // place newly-inferred assertion in proper place in cache
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249 | inferred[ info.resnSlot ][ decl->get_uniqueId() ] = ParamEntry{
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250 | candidate->uniqueId, candidate->clone(), match.adjType->clone(), decl->get_type()->clone(),
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251 | varExpr };
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252 | }
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253 |
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254 | /// Adds a captured assertion to the symbol table
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255 | void addToIndexer( AssertionSet & assertSet, SymTab::Indexer & indexer ) {
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256 | for ( auto& i : assertSet ) {
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257 | if ( i.second.isUsed ) {
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258 | indexer.addId( i.first );
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259 | }
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260 | }
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261 | }
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262 |
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263 | // in AlternativeFinder.cc; unique ID for assertion resolutions
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264 | extern UniqueId globalResnSlot;
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265 |
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266 | /// Resolve a single assertion, in context
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267 | bool resolveAssertion( AssertionItem & assn, ResnState & resn ) {
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268 | // skip unused assertions
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269 | if ( ! assn.info.isUsed ) return true;
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270 |
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271 | // lookup candidates for this assertion
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272 | std::list< SymTab::Indexer::IdData > candidates;
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273 | resn.indexer.lookupId( assn.decl->name, candidates );
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274 |
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275 | // find the candidates that unify with the desired type
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276 | CandidateList matches;
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277 | for ( const auto & cdata : candidates ) {
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278 | const DeclarationWithType * candidate = cdata.id;
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279 |
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280 | // build independent unification context for candidate
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281 | AssertionSet have, newNeed;
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282 | TypeEnvironment newEnv{ resn.alt.env };
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283 | OpenVarSet newOpenVars{ resn.alt.openVars };
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284 | Type * adjType = candidate->get_type()->clone();
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285 | adjustExprType( adjType, newEnv, resn.indexer );
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286 | renameTyVars( adjType );
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287 |
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288 | // keep unifying candidates
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289 | if ( unify( assn.decl->get_type(), adjType, newEnv, newNeed, have, newOpenVars,
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290 | resn.indexer ) ) {
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291 | // set up binding slot for recursive assertions
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292 | UniqueId crntResnSlot = 0;
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293 | if ( ! newNeed.empty() ) {
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294 | crntResnSlot = ++globalResnSlot;
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295 | for ( auto& a : newNeed ) {
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296 | a.second.resnSlot = crntResnSlot;
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297 | }
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298 | }
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299 |
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300 | matches.emplace_back( cdata, adjType, std::move(newEnv), std::move(have),
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301 | std::move(newNeed), std::move(newOpenVars), crntResnSlot );
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302 | } else {
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303 | delete adjType;
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304 | }
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305 | }
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306 |
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307 | // break if no suitable assertion
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308 | if ( matches.empty() ) return false;
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309 |
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310 | // defer if too many suitable assertions
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311 | if ( matches.size() > 1 ) {
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312 | resn.deferred.emplace_back( assn.decl, assn.info, std::move(matches) );
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313 | return true;
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314 | }
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315 |
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316 | // otherwise bind current match in ongoing scope
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317 | AssnCandidate& match = matches.front();
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318 | addToIndexer( match.have, resn.indexer );
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319 | resn.newNeed.insert( match.need.begin(), match.need.end() );
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320 | resn.alt.env = std::move(match.env);
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321 | resn.alt.openVars = std::move(match.openVars);
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322 |
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323 | bindAssertion( assn.decl, assn.info, resn.alt, match, resn.inferred );
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324 | return true;
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325 | }
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326 |
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327 | /// Associates inferred parameters with an expression
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328 | struct InferMatcher {
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329 | InferCache& inferred;
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330 |
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331 | InferMatcher( InferCache& inferred ) : inferred( inferred ) {}
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332 |
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333 | Expression* postmutate( Expression* expr ) {
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334 | // defer missing inferred parameters until they are hopefully found later
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335 | std::vector<UniqueId> missingSlots;
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336 | // place inferred parameters into resolution slots
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337 | for ( UniqueId slot : expr->resnSlots ) {
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338 | // fail if no matching parameters found
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339 | auto it = inferred.find( slot );
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340 | if ( it == inferred.end() ) {
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341 | missingSlots.push_back( slot );
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342 | continue;
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343 | }
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344 | InferredParams& inferParams = it->second;
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345 |
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346 | // place inferred parameters into proper place in expression
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347 | for ( auto& entry : inferParams ) {
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348 | // recurse on inferParams of resolved expressions
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349 | entry.second.expr = postmutate( entry.second.expr );
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350 | // xxx - look at entry.second.inferParams?
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351 | auto res = expr->inferParams.emplace( entry.first, entry.second );
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352 | assert(res.second);
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353 | }
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354 | }
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355 |
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356 | // clear resolution slots and return
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357 | expr->resnSlots.swap( missingSlots );
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358 | return expr;
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359 | }
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360 | };
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361 |
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362 | /// Map of alternative return types to recursive assertion satisfaction costs
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363 | using PruneMap = std::unordered_map<std::string, CostVec>;
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364 |
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365 | /// Gets the pruning key for an alternative
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366 | std::string pruneKey( const Alternative & alt ) {
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367 | Type* resType = alt.expr->result->clone();
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368 | alt.env.apply( resType );
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369 | std::string resKey = SymTab::Mangler::mangleType( resType );
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370 | delete resType;
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371 | return resKey;
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372 | }
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373 |
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374 | /// Replace resnSlots with inferParams and add alternative to output list, if meets pruning
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375 | /// threshold.
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376 | void finalizeAssertions( ResnState& resn, PruneMap & pruneThresholds, AltList& out ) {
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377 | // prune if cheaper alternative for same key has already been generated
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378 | std::string resKey = pruneKey( resn.alt );
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379 | auto it = pruneThresholds.find( resKey );
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380 | if ( it != pruneThresholds.end() ) {
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381 | if ( it->second < resn.costs ) return;
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382 | } else {
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383 | pruneThresholds.emplace_hint( it, resKey, resn.costs );
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384 | }
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385 |
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386 | // replace resolution slots with inferred params, add to output
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387 | PassVisitor<InferMatcher> matcher{ resn.inferred };
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388 | resn.alt.expr = resn.alt.expr->acceptMutator( matcher );
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389 | out.emplace_back( resn.alt );
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390 | }
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391 |
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392 | /// Limit to depth of recursion of assertion satisfaction
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393 | static const int recursionLimit = 4;
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394 | /// Maximum number of simultaneously-deferred assertions to attempt concurrent satisfaction of
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395 | static const int deferLimit = 10;
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396 |
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397 | void resolveAssertions( Alternative& alt, const SymTab::Indexer& indexer, AltList& out, std::list<std::string>& errors ) {
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398 | // finish early if no assertions to resolve
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399 | if ( alt.need.empty() ) {
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400 | out.emplace_back( alt );
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401 | return;
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402 | }
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403 |
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404 | // build list of possible resolutions
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405 | using ResnList = std::vector<ResnState>;
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406 | SymTab::Indexer root_indexer{ indexer };
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407 | ResnList resns{ ResnState{ alt, root_indexer } };
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408 | ResnList new_resns{};
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409 |
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410 | // Pruning thresholds by result type of the output alternatives.
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411 | // Alternatives *should* be generated in sorted order, so no need to retroactively prune
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412 | PruneMap thresholds;
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413 |
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414 | // resolve assertions in breadth-first-order up to a limited number of levels deep
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415 | for ( unsigned level = 0; level < recursionLimit; ++level ) {
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416 | // scan over all mutually-compatible resolutions
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417 | for ( auto& resn : resns ) {
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418 | // stop this branch if already found a better option
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419 | auto it = thresholds.find( pruneKey( resn.alt ) );
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420 | if ( it != thresholds.end() && it->second < resn.costs ) goto nextResn;
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421 |
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422 | // make initial pass at matching assertions
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423 | for ( auto& assn : resn.need ) {
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424 | // fail early if any assertion is not resolvable
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425 | if ( ! resolveAssertion( assn, resn ) ) {
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426 | Indenter tabs{ 3 };
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427 | std::ostringstream ss;
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428 | ss << tabs << "Unsatisfiable alternative:\n";
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429 | resn.alt.print( ss, ++tabs );
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430 | ss << (tabs-1) << "Could not satisfy assertion:\n";
|
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431 | assn.decl->print( ss, tabs );
|
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432 |
|
---|
433 | errors.emplace_back( ss.str() );
|
---|
434 | goto nextResn;
|
---|
435 | }
|
---|
436 | }
|
---|
437 |
|
---|
438 | if ( resn.deferred.empty() ) {
|
---|
439 | // either add successful match or push back next state
|
---|
440 | if ( resn.newNeed.empty() ) {
|
---|
441 | finalizeAssertions( resn, thresholds, out );
|
---|
442 | } else {
|
---|
443 | new_resns.emplace_back( std::move(resn), IterateState );
|
---|
444 | }
|
---|
445 | } else if ( resn.deferred.size() > deferLimit ) {
|
---|
446 | // too many deferred assertions to attempt mutual compatibility
|
---|
447 | Indenter tabs{ 3 };
|
---|
448 | std::ostringstream ss;
|
---|
449 | ss << tabs << "Unsatisfiable alternative:\n";
|
---|
450 | resn.alt.print( ss, ++tabs );
|
---|
451 | ss << (tabs-1) << "Too many non-unique satisfying assignments for "
|
---|
452 | "assertions:\n";
|
---|
453 | for ( const auto& d : resn.deferred ) {
|
---|
454 | d.decl->print( ss, tabs );
|
---|
455 | }
|
---|
456 |
|
---|
457 | errors.emplace_back( ss.str() );
|
---|
458 | goto nextResn;
|
---|
459 | } else {
|
---|
460 | // resolve deferred assertions by mutual compatibility
|
---|
461 | std::vector<CandidateEnvMerger::OutType> compatible = filterCombos(
|
---|
462 | resn.deferred,
|
---|
463 | CandidateEnvMerger{ resn.alt.env, resn.alt.openVars, resn.indexer } );
|
---|
464 | // fail early if no mutually-compatible assertion satisfaction
|
---|
465 | if ( compatible.empty() ) {
|
---|
466 | Indenter tabs{ 3 };
|
---|
467 | std::ostringstream ss;
|
---|
468 | ss << tabs << "Unsatisfiable alternative:\n";
|
---|
469 | resn.alt.print( ss, ++tabs );
|
---|
470 | ss << (tabs-1) << "No mutually-compatible satisfaction for assertions:\n";
|
---|
471 | for ( const auto& d : resn.deferred ) {
|
---|
472 | d.decl->print( ss, tabs );
|
---|
473 | }
|
---|
474 |
|
---|
475 | errors.emplace_back( ss.str() );
|
---|
476 | goto nextResn;
|
---|
477 | }
|
---|
478 | // sort by cost for overall pruning
|
---|
479 | CandidateCost coster{ resn.indexer };
|
---|
480 | std::sort( compatible.begin(), compatible.end(), coster );
|
---|
481 |
|
---|
482 | for ( auto& compat : compatible ) {
|
---|
483 | ResnState new_resn = resn;
|
---|
484 |
|
---|
485 | // add compatible assertions to new resolution state
|
---|
486 | for ( DeferRef r : compat.assns ) {
|
---|
487 | AssnCandidate match = r.match;
|
---|
488 | addToIndexer( match.have, new_resn.indexer );
|
---|
489 | new_resn.newNeed.insert( match.need.begin(), match.need.end() );
|
---|
490 |
|
---|
491 | bindAssertion( r.decl, r.info, new_resn.alt, match, new_resn.inferred );
|
---|
492 | }
|
---|
493 |
|
---|
494 | // set mutual environment into resolution state
|
---|
495 | new_resn.alt.env = std::move(compat.env);
|
---|
496 | new_resn.alt.openVars = std::move(compat.openVars);
|
---|
497 |
|
---|
498 | // mark cost of this path
|
---|
499 | new_resn.costs.back() += compat.cost;
|
---|
500 |
|
---|
501 | // either add sucessful match or push back next state
|
---|
502 | if ( new_resn.newNeed.empty() ) {
|
---|
503 | finalizeAssertions( new_resn, thresholds, out );
|
---|
504 | } else {
|
---|
505 | new_resns.emplace_back( std::move(new_resn), IterateState );
|
---|
506 | }
|
---|
507 | }
|
---|
508 | }
|
---|
509 | nextResn:; }
|
---|
510 |
|
---|
511 | // finish or reset for next round
|
---|
512 | if ( new_resns.empty() ) return;
|
---|
513 | resns.swap( new_resns );
|
---|
514 | new_resns.clear();
|
---|
515 | }
|
---|
516 |
|
---|
517 | // exceeded recursion limit if reaches here
|
---|
518 | if ( out.empty() ) {
|
---|
519 | SemanticError( alt.expr->location, "Too many recursive assertions" );
|
---|
520 | }
|
---|
521 | }
|
---|
522 | } // namespace ResolvExpr
|
---|
523 |
|
---|
524 | // Local Variables: //
|
---|
525 | // tab-width: 4 //
|
---|
526 | // mode: c++ //
|
---|
527 | // compile-command: "make install" //
|
---|
528 | // End: //
|
---|