recursive types (and operations on them, like pretty-printing, comparison and unification) seem to be working.
big part of the code base still needs to be 'ported' to the updated type constructors.
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34 changed files with 523 additions and 295 deletions
87
examples/compare_types.js
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87
examples/compare_types.js
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@ -0,0 +1,87 @@
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import { compareTypes } from "../compare/type.js";
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import { makeGeneric, substitute, unify } from "../generics/generics.js";
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import { Double, Int, Unit } from "../primitives/types.js";
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import { fnType, lsType, prodType, setType, sumType } from "../structures/types.js";
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import { prettyGenT, prettyT } from "../util/pretty.js";
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// some recursive types:
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const listOfSetOfSelf = lsType(self => setType(_ => self));
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const makeLinkedList = elementType => sumType
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(self => prodType
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(_ => elementType)
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(_ => self))
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(_ => Unit);
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const linkedListOfInt = makeLinkedList(Int);
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const linkedListOfDouble = makeLinkedList(Double);
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// some generic types
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const genericFunction = makeGeneric((a,b) => fnType(_ => a)(_ => b));
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const genericLinkedList = makeGeneric(a => makeLinkedList(a));
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// pretty-printing of recursive types:
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console.log(prettyT(listOfSetOfSelf)); // #0[{#0}]
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console.log(prettyT(linkedListOfInt)); // #0((Int ⨯ #0) + Unit)
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console.log(prettyGenT(genericFunction)); // ∀a,b: (a -> b)
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console.log(prettyGenT(genericLinkedList)); // ∀a: #0((a ⨯ #0) + Unit)
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// comparison
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console.log(compareTypes(listOfSetOfSelf)(listOfSetOfSelf)) // 0
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console.log(compareTypes(linkedListOfInt)(linkedListOfInt)) // 0
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console.log(compareTypes(linkedListOfInt)(linkedListOfDouble)) // 1
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console.log(compareTypes(linkedListOfDouble)(linkedListOfInt)) // -1
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console.log(compareTypes(linkedListOfDouble)(linkedListOfDouble)) // 0
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console.log(compareTypes(linkedListOfDouble)(listOfSetOfSelf)) // 1
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console.log(compareTypes(listOfSetOfSelf)(linkedListOfDouble)) // -1
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const genericList = makeGeneric(a => lsType(_ => a));
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const intList = lsType(_ => Int);
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console.log(prettyGenT(genericList)); // ∀a: [a]
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// substitution of type parameters
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const substituted = substitute(
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genericList.type,
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new Map([[
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genericList.typeVars.keys().next().value,
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Int,
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]])
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);
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console.log(prettyT(substituted)); // [Int]
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// substitution (recursive this time)
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console.log("recursive substitution")
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console.log(prettyT(substitute(
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genericLinkedList.type,
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new Map([[
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genericLinkedList.typeVars.keys().next().value,
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Int,
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]])
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))); // #0((Int ⨯ #0) + Unit)
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// unification (simple case)
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const {typeVars, type} = unify(
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genericList,
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makeGeneric(() => intList));
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console.log(prettyT(type)); // [Int]
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// unification (recursive case)
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console.log("complex case...")
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const unified = unify(
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genericLinkedList,
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makeGeneric(() => linkedListOfInt));
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console.log(prettyGenT(unified)); // ∀: #0((Int ⨯ #0) + Unit)
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@ -7,7 +7,7 @@ import { lsType, prettyT } from "../structures/types.js";
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const variants = [
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newProduct("price")(Int),
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newProduct("prices")(lsType(Int)),
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newProduct("prices")(lsType(() =>Int)),
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newProduct("not_found")(Unit),
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];
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@ -1,38 +1,41 @@
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import { Bool, Int } from "../primitives/types.js";
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import { fnType, lsType, prettyT } from "../structures/types.js";
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import { fnType, lsType } from "../structures/types.js";
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import { assign, makeGeneric, unify } from "../generics/generics.js";
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import { prettyGenT, prettyT } from "../util/pretty.js";
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// a -> Int
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const a_to_Int = makeGeneric(a => fnType(a)(Int));
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const a_to_Int = makeGeneric(a => fnType(() => a)(() => Int));
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console.log((prettyGenT(a_to_Int))); // ∀a: (a -> Int)
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// Bool -> Int
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const Bool_to_Int = makeGeneric(() => fnType(lsType(Bool))(Int));
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const Bool_to_Int = makeGeneric(() => fnType(() => lsType(() =>Bool))(() => Int));
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console.log((prettyGenT(Bool_to_Int))); // ∀: ([Bool] -> Int)
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console.log("should be: [Bool] -> Int")
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console.log(prettyT(unify(a_to_Int, Bool_to_Int)));
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console.log(prettyGenT(unify(a_to_Int, Bool_to_Int)));
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// (a -> a) -> b
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const fnType2 = makeGeneric((a,b) => fnType(fnType(a)(a))(b));
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const fnType2 = makeGeneric((a,b) => fnType(() => fnType(a)(a))(() => b));
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// (Bool -> Bool) -> a
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const fnType3 = makeGeneric(a => fnType(fnType(Bool)(Bool))(a));
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const fnType3 = makeGeneric(a => fnType(() => fnType(Bool)(Bool))(() => a));
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console.log("should be: (Bool -> Bool) -> a");
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console.log(prettyT(unify(fnType2, fnType3)));
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// (a -> b) -> [a] -> [b]
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const mapFnType = makeGeneric((a,b) =>
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fnType
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(fnType(a)(b))
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(fnType(lsType(a))(lsType(b))))
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(fnType(() => a)(() => b))
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(fnType(() => lsType(() =>a))(() => lsType(() =>b))))
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// a -> a
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const idFnType = makeGeneric((_,__,c) =>
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fnType(c)(c));
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fnType(() => c)(() => c));
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console.log("should be: [c] -> [c]");
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console.log(prettyT(assign(mapFnType, idFnType)));
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// (a -> Int) -> [a] -> a
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const weirdFnType = makeGeneric(a =>
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fnType
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(fnType(a)(Int))
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(fnType(() => a)(() => Int))
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(fnType
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(lsType(a))
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(lsType(() =>a))
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(a)))
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// we call this function with parameter of type (b -> b) ...
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// giving these substitutions:
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@ -4,14 +4,14 @@ import { newLeft, newRight, match } from "../structures/sum.js";
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import { fnType, sumType } from "../structures/types.js";
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import { pretty } from '../util/pretty.js';
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const IntOrBool = sumType(Int)(Bool);
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const IntOrBool = sumType(() => Int)(() => Bool);
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// console.log(int5);
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console.log(pretty(unify(
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makeGeneric(() => IntOrBool),
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makeGeneric(a => sumType(Int)(a)),
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makeGeneric(a => sumType(() => Int)(() => a)),
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)));
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const cipFunction = (x) => {
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@ -38,7 +38,7 @@ const typeAtCallSite = assign(
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makeGeneric((a, b) =>
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fnType
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(a)
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(sumType(a)(b))
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(sumType(() => a)(() => b))
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),
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makeGeneric(() => Int));
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console.log(pretty(typeAtCallSite));
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@ -12,7 +12,7 @@ const square = numDict => x => getMul(numDict)(x)(x);
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const squareFnType = makeGeneric(a =>
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fnType
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(numDictType(a))
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(fnType(a)(a))
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(fnType(() => a)(() => a))
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);
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console.log("should be: Int -> Int");
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@ -6,7 +6,7 @@ import { isFunction } from '../structures/types.js';
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import { ModuleStd } from '../stdlib.js';
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import { Double, GenericType, Int, SymbolT, Type } from "../primitives/types.js";
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import { eqType } from '../primitives/type.js';
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import { Any } from "../primitives/types.js";
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import { Top } from "../primitives/types.js";
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import { assignFn, makeGeneric, onlyOccurring } from '../generics/generics.js';
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import { prettyT } from '../util/pretty.js';
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@ -48,7 +48,7 @@ class Context {
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// console.log(strI, '::', strT);
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this.types.getdefault(i, true).add(t);
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this.types.getdefault(i, true).add(Any);
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this.types.getdefault(i, true).add(Top);
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if (t.typeVars) {
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// console.log("generic:", prettyT(t));
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this.types.getdefault(t, true).add(GenericType);
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@ -59,7 +59,7 @@ class Context {
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}
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this.instances.getdefault(t, true).add(i);
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this.instances.getdefault(Any, true).add(i);
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this.instances.getdefault(Top, true).add(i);
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}
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const addIfFunctionType = (t, originalT, add) => {
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if (isFunction(t)) {
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