delete unused module
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1 changed files with 0 additions and 150 deletions
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import { compareTypes } from "../compare/type.js";
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import { getHumanReadableName } from "../primitives/symbol.js";
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import { eqType, getSymbol } from "../primitives/type.js";
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import { isTypeVar } from "../primitives/typevars.js";
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import { emptySet, add, has } from "../structures/set.js";
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import { prettyT } from "../util/pretty.js";
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import { zip } from "../util/util.js";
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import { UnifyError } from "./generics.js";
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const emptyTypeSet = emptySet(compareTypes);
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// Low-level unify
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// Assumes that if types variables in typeA and typeB are overlapping, they are the same, so it may be necessary to re-compute type variables before calling this function.
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export const unifyLL = (typeA, typeB, stackA = [], stackB = []) => {
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if (eqType(typeA)(typeB)) {
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return new Map();
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}
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if (isTypeVar(typeA) || isTypeVar(typeB)) {
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const unifA = isTypeVar(typeA)
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? new Map([[getSymbol(typeA), add(emptyTypeSet)(typeB)]])
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: new Map();
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const unifB = isTypeVar(typeB)
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? new Map([[getSymbol(typeB), add(emptyTypeSet)(typeA)]])
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: new Map();
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return mergeUnifications(unifA, unifB);
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}
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// recursively unify
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if (typeA.symbol !== typeB.symbol) {
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throw new UnifyError(`cannot unify ${prettyT(typeA)} and ${prettyT(typeB)}`);
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}
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const tagA = stackA.length;
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const tagB = stackB.length;
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const unifParams = zip(typeA.params, typeB.params)
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.map(([getParamA, getParamB]) => {
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const paramA = getParamA(tagA);
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const paramB = getParamB(tagB);
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// type recursively points to an enclosing type that we've already seen
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if (stackA[paramA] !== stackB[paramB]) {
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// note that both are also allowed not to be mapped (undefined)
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throw new UnifyError("cannot unify: types differ in their recursion");
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}
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if (stackA[paramA] !== undefined) {
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// we've already seen this type, don't endlessly recurse:
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return new Map();
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}
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return unifyLL(paramA, paramB,
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[...stackA, tagA],
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[...stackB, tagB]);
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});
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return unifParams.reduce(
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(acc, cur) => mergeUnifications(acc, cur),
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new Map());
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};
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// Given two unifications, try to merge them (may throw UnifyError).
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// Useful when the same type variable occurs in multiple places, to see if there are conflicts.
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export const mergeUnifications = (unifA, unifB) => {
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const allSymbols = new Set([...unifA.keys(), ...unifB.keys()]);
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const result = new Map();
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for (const symbol of allSymbols) {
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const setOfTypesA = unifA.get(symbol) || emptyTypeSet;
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const setOfTypesB = unifB.get(symbol) || emptyTypeSet;
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let union = setOfTypesA;
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for (const typeB of setOfTypesB.keys()) {
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union = addIfSafe(union, typeB);
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}
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result.set(symbol, union);
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}
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// console.log(`mergeUnifications(${prettyU(unifA)}, ${prettyU(unifB)}) = ${prettyU(result)}`);
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// return transitivelyMerge(result);
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return result;
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};
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export const transitivelyGrow = (unif) => {
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let stable = true;
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const result = new Map();
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for (const [symbol, setOfTypes] of unif) {
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let newSetOfTypes = setOfTypes;
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for (const type of setOfTypes.keys()) {
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if (isTypeVar(type)) {
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const haveTypes = unif.get(getSymbol(type));
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if (haveTypes) {
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for (const transitiveType of haveTypes.keys()) {
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if (!has(newSetOfTypes)(transitiveType)) {
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newSetOfTypes = addIfSafe(newSetOfTypes, transitiveType);
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stable = false;
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}
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}
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}
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}
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}
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result.set(symbol, newSetOfTypes);
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}
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// repeat until stable
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return stable ? result : transitivelyGrow(result);
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};
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const addIfSafe = (setOfTypes, typeToAdd) => {
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for (const alreadyHaveType of setOfTypes.keys()) {
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if (!has(setOfTypes)(typeToAdd)) {
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if (isTypeVar(alreadyHaveType) && isTypeVar(typeToAdd)) {
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continue; // not a problem
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}
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// console.log('can unify', prettyT(typeToAdd), 'and', prettyT(alreadyHaveType), '?');
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unifyLL(alreadyHaveType, typeToAdd); // may throw
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}
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}
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return add(setOfTypes)(typeToAdd);
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};
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// Given a non-conflicting, non-empty set of types, reduce it to a single type
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export const reduce = (setOfTypes) => {
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for (const type of setOfTypes.keys()) {
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if (!isTypeVar(type)) {
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// console.log('reduce', prettyST(setOfTypes), 'to', prettyT(type));
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return type;
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}
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}
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// console.log('reduce', prettyST(setOfTypes), 'to', prettyT(setOfTypes.keys()[0]));
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return setOfTypes.keys()[0];
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};
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// Reduce a unification to a mapping: {symbol => Type}
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// this mapping can then be used for substituting the typevars (=symbols) in a type by concrete types
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export const reduceUnification = (unif) => {
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// console.log('b4 grown:', prettyU(unif));
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const grown = transitivelyGrow(unif);
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// console.log('grown:', prettyU(grown));
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const result = new Map([...grown]
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.map(([symbol, types]) =>
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[symbol, reduce(types)]));
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// console.log('reduce', prettyU(grown), 'to', result);
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return result;
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};
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// For debugging
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export const prettyU = unif => {
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return `{${[...unif].map(([symbol, types]) => `${getHumanReadableName(symbol)} => ${prettyST(types)}`).join(', ')}}`;
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};
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export const prettyST = st => {
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return `(${st.keys().map(prettyT).join(',')})`;
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};
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