1 | .once
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2 |
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3 | .include "control-flow.dl"
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4 |
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5 | // Facts and Relations (Inputs)
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6 | // ============================
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7 |
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8 | // Objects can live in either local variables or object members.
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9 | .type Place = LocalVariable { f: Function, v: symbol }
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10 | | ObjectMember { o: symbol, m: symbol }
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11 |
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12 | // Places can be referenced by variables and object members.
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13 | .type Reference = VariableRef { v: symbol }
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14 | | MemberRef { o: symbol, m: symbol }
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15 |
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16 | // Variable (or object) `r` is allocated, or assigned a literal value, in
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17 | // statement `s` of `f`.
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18 | .decl define(f:Function, s:Statement, p:Place)
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19 | .input define
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20 |
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21 | // Reference `r` is assigned to a place `p` in statement `s` of `f`.
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22 | .decl assign(f:Function, s:Statement, p:Place, r:Reference)
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23 | .input assign
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24 |
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25 | // Place `a` is aliased by place `b`.
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26 | .decl alias(a: Place, b: Place)
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27 | .output alias
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28 |
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29 | // Rules and Outputs
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30 | // =================
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31 |
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32 | // `p` is implicitly defined when it is assigned to.
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33 | define(f, s, p) :- assign(f, s, p, _).
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34 |
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35 | // Simple aliasing with locals.
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36 | // a = ...
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37 | // b = a
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38 | alias($LocalVariable(f, a), $LocalVariable(f, b)) :-
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39 | define(f, s1, $LocalVariable(f, a)),
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40 | assign(f, s2, $LocalVariable(f, b), $VariableRef(a)),
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41 | CFGraph.reachable(f, s1, f, s2).
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42 |
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43 | // LocalVariables can also be aliased by object members. Note the special function name
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44 | // and statement number.
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45 | // a = ...
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46 | // b.m = a
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47 | alias($LocalVariable(f, a), $ObjectMember(b, m)) :-
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48 | define(f, s1, $LocalVariable(f, a)),
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49 | assign(f, s2, $ObjectMember(b, m), $VariableRef(a)),
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50 | CFGraph.reachable(f, s1, f, s2).
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51 |
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52 | // Objects members can be aliased too. Note the special function name and
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53 | // statement number.
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54 | // a.m = ...
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55 | // b = a.m
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56 | alias($ObjectMember(a, m), $LocalVariable(f, b)) :-
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57 | assign(f, _, $LocalVariable(f, b), $MemberRef(a, m)).
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58 | // a.m = ...
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59 | // b.m2 = a.m1
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60 | alias($ObjectMember(a, m1), $ObjectMember(b, m2)) :-
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61 | assign(_, _, $ObjectMember(b, m2), $MemberRef(a, m1)).
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62 |
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63 | // Inductive case.
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64 | alias(a, c) :- alias(a, b), alias(b, c).
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