interpreter

This commit is contained in:
Elizabeth Hunt 2024-02-13 19:57:27 -07:00
commit 36834bb8f6
Signed by: simponic
GPG Key ID: 52B3774857EB24B1
4 changed files with 750 additions and 0 deletions

1
README.md Normal file
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usage: `bun repl.ts`

14
grammar.peggy Normal file
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LambdaTerm = Application / Abstraction / Variable
Application = LPAREN _ left:LambdaTerm _ right:LambdaTerm RPAREN { return { application: { left, right } }; }
Abstraction = LPAREN _ LAMBDA _ param:Variable _ DOT _ body:LambdaTerm RPAREN { return { abstraction: { param, body } }; }
Variable = param:[a-zA-Z0-9]+ { return param.join(""); }
LPAREN = "("
RPAREN = ")"
DOT = "."
LAMBDA = "λ" / "\\"
_ = ("\n" / " " / "\t" / "\r\n")*

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parser.js Normal file
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module.exports = // @generated by Peggy 4.0.0.
//
// https://peggyjs.org/
(function() {
"use strict";
function peg$subclass(child, parent) {
function C() { this.constructor = child; }
C.prototype = parent.prototype;
child.prototype = new C();
}
function peg$SyntaxError(message, expected, found, location) {
var self = Error.call(this, message);
// istanbul ignore next Check is a necessary evil to support older environments
if (Object.setPrototypeOf) {
Object.setPrototypeOf(self, peg$SyntaxError.prototype);
}
self.expected = expected;
self.found = found;
self.location = location;
self.name = "SyntaxError";
return self;
}
peg$subclass(peg$SyntaxError, Error);
function peg$padEnd(str, targetLength, padString) {
padString = padString || " ";
if (str.length > targetLength) { return str; }
targetLength -= str.length;
padString += padString.repeat(targetLength);
return str + padString.slice(0, targetLength);
}
peg$SyntaxError.prototype.format = function(sources) {
var str = "Error: " + this.message;
if (this.location) {
var src = null;
var k;
for (k = 0; k < sources.length; k++) {
if (sources[k].source === this.location.source) {
src = sources[k].text.split(/\r\n|\n|\r/g);
break;
}
}
var s = this.location.start;
var offset_s = (this.location.source && (typeof this.location.source.offset === "function"))
? this.location.source.offset(s)
: s;
var loc = this.location.source + ":" + offset_s.line + ":" + offset_s.column;
if (src) {
var e = this.location.end;
var filler = peg$padEnd("", offset_s.line.toString().length, ' ');
var line = src[s.line - 1];
var last = s.line === e.line ? e.column : line.length + 1;
var hatLen = (last - s.column) || 1;
str += "\n --> " + loc + "\n"
+ filler + " |\n"
+ offset_s.line + " | " + line + "\n"
+ filler + " | " + peg$padEnd("", s.column - 1, ' ')
+ peg$padEnd("", hatLen, "^");
} else {
str += "\n at " + loc;
}
}
return str;
};
peg$SyntaxError.buildMessage = function(expected, found) {
var DESCRIBE_EXPECTATION_FNS = {
literal: function(expectation) {
return "\"" + literalEscape(expectation.text) + "\"";
},
class: function(expectation) {
var escapedParts = expectation.parts.map(function(part) {
return Array.isArray(part)
? classEscape(part[0]) + "-" + classEscape(part[1])
: classEscape(part);
});
return "[" + (expectation.inverted ? "^" : "") + escapedParts.join("") + "]";
},
any: function() {
return "any character";
},
end: function() {
return "end of input";
},
other: function(expectation) {
return expectation.description;
}
};
function hex(ch) {
return ch.charCodeAt(0).toString(16).toUpperCase();
}
function literalEscape(s) {
return s
.replace(/\\/g, "\\\\")
.replace(/"/g, "\\\"")
.replace(/\0/g, "\\0")
.replace(/\t/g, "\\t")
.replace(/\n/g, "\\n")
.replace(/\r/g, "\\r")
.replace(/[\x00-\x0F]/g, function(ch) { return "\\x0" + hex(ch); })
.replace(/[\x10-\x1F\x7F-\x9F]/g, function(ch) { return "\\x" + hex(ch); });
}
function classEscape(s) {
return s
.replace(/\\/g, "\\\\")
.replace(/\]/g, "\\]")
.replace(/\^/g, "\\^")
.replace(/-/g, "\\-")
.replace(/\0/g, "\\0")
.replace(/\t/g, "\\t")
.replace(/\n/g, "\\n")
.replace(/\r/g, "\\r")
.replace(/[\x00-\x0F]/g, function(ch) { return "\\x0" + hex(ch); })
.replace(/[\x10-\x1F\x7F-\x9F]/g, function(ch) { return "\\x" + hex(ch); });
}
function describeExpectation(expectation) {
return DESCRIBE_EXPECTATION_FNS[expectation.type](expectation);
}
function describeExpected(expected) {
var descriptions = expected.map(describeExpectation);
var i, j;
descriptions.sort();
if (descriptions.length > 0) {
for (i = 1, j = 1; i < descriptions.length; i++) {
if (descriptions[i - 1] !== descriptions[i]) {
descriptions[j] = descriptions[i];
j++;
}
}
descriptions.length = j;
}
switch (descriptions.length) {
case 1:
return descriptions[0];
case 2:
return descriptions[0] + " or " + descriptions[1];
default:
return descriptions.slice(0, -1).join(", ")
+ ", or "
+ descriptions[descriptions.length - 1];
}
}
function describeFound(found) {
return found ? "\"" + literalEscape(found) + "\"" : "end of input";
}
return "Expected " + describeExpected(expected) + " but " + describeFound(found) + " found.";
};
function peg$parse(input, options) {
options = options !== undefined ? options : {};
var peg$FAILED = {};
var peg$source = options.grammarSource;
var peg$startRuleFunctions = { LambdaTerm: peg$parseLambdaTerm };
var peg$startRuleFunction = peg$parseLambdaTerm;
var peg$c0 = "(";
var peg$c1 = ")";
var peg$c2 = ".";
var peg$c3 = "\r\n";
var peg$r0 = /^[a-zA-Z0-9]/;
var peg$r1 = /^[\\\u03BB]/;
var peg$r2 = /^[\t-\n ]/;
var peg$e0 = peg$classExpectation([["a", "z"], ["A", "Z"], ["0", "9"]], false, false);
var peg$e1 = peg$literalExpectation("(", false);
var peg$e2 = peg$literalExpectation(")", false);
var peg$e3 = peg$literalExpectation(".", false);
var peg$e4 = peg$classExpectation(["\\", "\u03BB"], false, false);
var peg$e5 = peg$classExpectation([["\t", "\n"], " "], false, false);
var peg$e6 = peg$literalExpectation("\r\n", false);
var peg$f0 = function(left, right) { return { application: { left, right } }; };
var peg$f1 = function(param, body) { return { abstraction: { param, body } }; };
var peg$f2 = function(param) { return param.join(""); };
var peg$currPos = options.peg$currPos | 0;
var peg$savedPos = peg$currPos;
var peg$posDetailsCache = [{ line: 1, column: 1 }];
var peg$maxFailPos = peg$currPos;
var peg$maxFailExpected = options.peg$maxFailExpected || [];
var peg$silentFails = options.peg$silentFails | 0;
var peg$result;
if (options.startRule) {
if (!(options.startRule in peg$startRuleFunctions)) {
throw new Error("Can't start parsing from rule \"" + options.startRule + "\".");
}
peg$startRuleFunction = peg$startRuleFunctions[options.startRule];
}
function text() {
return input.substring(peg$savedPos, peg$currPos);
}
function offset() {
return peg$savedPos;
}
function range() {
return {
source: peg$source,
start: peg$savedPos,
end: peg$currPos
};
}
function location() {
return peg$computeLocation(peg$savedPos, peg$currPos);
}
function expected(description, location) {
location = location !== undefined
? location
: peg$computeLocation(peg$savedPos, peg$currPos);
throw peg$buildStructuredError(
[peg$otherExpectation(description)],
input.substring(peg$savedPos, peg$currPos),
location
);
}
function error(message, location) {
location = location !== undefined
? location
: peg$computeLocation(peg$savedPos, peg$currPos);
throw peg$buildSimpleError(message, location);
}
function peg$literalExpectation(text, ignoreCase) {
return { type: "literal", text: text, ignoreCase: ignoreCase };
}
function peg$classExpectation(parts, inverted, ignoreCase) {
return { type: "class", parts: parts, inverted: inverted, ignoreCase: ignoreCase };
}
function peg$anyExpectation() {
return { type: "any" };
}
function peg$endExpectation() {
return { type: "end" };
}
function peg$otherExpectation(description) {
return { type: "other", description: description };
}
function peg$computePosDetails(pos) {
var details = peg$posDetailsCache[pos];
var p;
if (details) {
return details;
} else {
if (pos >= peg$posDetailsCache.length) {
p = peg$posDetailsCache.length - 1;
} else {
p = pos;
while (!peg$posDetailsCache[--p]) {}
}
details = peg$posDetailsCache[p];
details = {
line: details.line,
column: details.column
};
while (p < pos) {
if (input.charCodeAt(p) === 10) {
details.line++;
details.column = 1;
} else {
details.column++;
}
p++;
}
peg$posDetailsCache[pos] = details;
return details;
}
}
function peg$computeLocation(startPos, endPos, offset) {
var startPosDetails = peg$computePosDetails(startPos);
var endPosDetails = peg$computePosDetails(endPos);
var res = {
source: peg$source,
start: {
offset: startPos,
line: startPosDetails.line,
column: startPosDetails.column
},
end: {
offset: endPos,
line: endPosDetails.line,
column: endPosDetails.column
}
};
if (offset && peg$source && (typeof peg$source.offset === "function")) {
res.start = peg$source.offset(res.start);
res.end = peg$source.offset(res.end);
}
return res;
}
function peg$fail(expected) {
if (peg$currPos < peg$maxFailPos) { return; }
if (peg$currPos > peg$maxFailPos) {
peg$maxFailPos = peg$currPos;
peg$maxFailExpected = [];
}
peg$maxFailExpected.push(expected);
}
function peg$buildSimpleError(message, location) {
return new peg$SyntaxError(message, null, null, location);
}
function peg$buildStructuredError(expected, found, location) {
return new peg$SyntaxError(
peg$SyntaxError.buildMessage(expected, found),
expected,
found,
location
);
}
function peg$parseLambdaTerm() {
var s0;
s0 = peg$parseApplication();
if (s0 === peg$FAILED) {
s0 = peg$parseAbstraction();
if (s0 === peg$FAILED) {
s0 = peg$parseVariable();
}
}
return s0;
}
function peg$parseApplication() {
var s0, s1, s2, s3, s4, s5, s6;
s0 = peg$currPos;
s1 = peg$parseLPAREN();
if (s1 !== peg$FAILED) {
s2 = peg$parse_();
s3 = peg$parseLambdaTerm();
if (s3 !== peg$FAILED) {
s4 = peg$parse_();
s5 = peg$parseLambdaTerm();
if (s5 !== peg$FAILED) {
s6 = peg$parseRPAREN();
if (s6 !== peg$FAILED) {
peg$savedPos = s0;
s0 = peg$f0(s3, s5);
} else {
peg$currPos = s0;
s0 = peg$FAILED;
}
} else {
peg$currPos = s0;
s0 = peg$FAILED;
}
} else {
peg$currPos = s0;
s0 = peg$FAILED;
}
} else {
peg$currPos = s0;
s0 = peg$FAILED;
}
return s0;
}
function peg$parseAbstraction() {
var s0, s1, s2, s3, s4, s5, s6, s7, s8, s9, s10;
s0 = peg$currPos;
s1 = peg$parseLPAREN();
if (s1 !== peg$FAILED) {
s2 = peg$parse_();
s3 = peg$parseLAMBDA();
if (s3 !== peg$FAILED) {
s4 = peg$parse_();
s5 = peg$parseVariable();
if (s5 !== peg$FAILED) {
s6 = peg$parse_();
s7 = peg$parseDOT();
if (s7 !== peg$FAILED) {
s8 = peg$parse_();
s9 = peg$parseLambdaTerm();
if (s9 !== peg$FAILED) {
s10 = peg$parseRPAREN();
if (s10 !== peg$FAILED) {
peg$savedPos = s0;
s0 = peg$f1(s5, s9);
} else {
peg$currPos = s0;
s0 = peg$FAILED;
}
} else {
peg$currPos = s0;
s0 = peg$FAILED;
}
} else {
peg$currPos = s0;
s0 = peg$FAILED;
}
} else {
peg$currPos = s0;
s0 = peg$FAILED;
}
} else {
peg$currPos = s0;
s0 = peg$FAILED;
}
} else {
peg$currPos = s0;
s0 = peg$FAILED;
}
return s0;
}
function peg$parseVariable() {
var s0, s1, s2;
s0 = peg$currPos;
s1 = [];
s2 = input.charAt(peg$currPos);
if (peg$r0.test(s2)) {
peg$currPos++;
} else {
s2 = peg$FAILED;
if (peg$silentFails === 0) { peg$fail(peg$e0); }
}
if (s2 !== peg$FAILED) {
while (s2 !== peg$FAILED) {
s1.push(s2);
s2 = input.charAt(peg$currPos);
if (peg$r0.test(s2)) {
peg$currPos++;
} else {
s2 = peg$FAILED;
if (peg$silentFails === 0) { peg$fail(peg$e0); }
}
}
} else {
s1 = peg$FAILED;
}
if (s1 !== peg$FAILED) {
peg$savedPos = s0;
s1 = peg$f2(s1);
}
s0 = s1;
return s0;
}
function peg$parseLPAREN() {
var s0;
if (input.charCodeAt(peg$currPos) === 40) {
s0 = peg$c0;
peg$currPos++;
} else {
s0 = peg$FAILED;
if (peg$silentFails === 0) { peg$fail(peg$e1); }
}
return s0;
}
function peg$parseRPAREN() {
var s0;
if (input.charCodeAt(peg$currPos) === 41) {
s0 = peg$c1;
peg$currPos++;
} else {
s0 = peg$FAILED;
if (peg$silentFails === 0) { peg$fail(peg$e2); }
}
return s0;
}
function peg$parseDOT() {
var s0;
if (input.charCodeAt(peg$currPos) === 46) {
s0 = peg$c2;
peg$currPos++;
} else {
s0 = peg$FAILED;
if (peg$silentFails === 0) { peg$fail(peg$e3); }
}
return s0;
}
function peg$parseLAMBDA() {
var s0;
s0 = input.charAt(peg$currPos);
if (peg$r1.test(s0)) {
peg$currPos++;
} else {
s0 = peg$FAILED;
if (peg$silentFails === 0) { peg$fail(peg$e4); }
}
return s0;
}
function peg$parse_() {
var s0, s1;
s0 = [];
s1 = input.charAt(peg$currPos);
if (peg$r2.test(s1)) {
peg$currPos++;
} else {
s1 = peg$FAILED;
if (peg$silentFails === 0) { peg$fail(peg$e5); }
}
if (s1 === peg$FAILED) {
if (input.substr(peg$currPos, 2) === peg$c3) {
s1 = peg$c3;
peg$currPos += 2;
} else {
s1 = peg$FAILED;
if (peg$silentFails === 0) { peg$fail(peg$e6); }
}
}
while (s1 !== peg$FAILED) {
s0.push(s1);
s1 = input.charAt(peg$currPos);
if (peg$r2.test(s1)) {
peg$currPos++;
} else {
s1 = peg$FAILED;
if (peg$silentFails === 0) { peg$fail(peg$e5); }
}
if (s1 === peg$FAILED) {
if (input.substr(peg$currPos, 2) === peg$c3) {
s1 = peg$c3;
peg$currPos += 2;
} else {
s1 = peg$FAILED;
if (peg$silentFails === 0) { peg$fail(peg$e6); }
}
}
}
return s0;
}
peg$result = peg$startRuleFunction();
if (options.peg$library) {
return /** @type {any} */ ({
peg$result,
peg$currPos,
peg$FAILED,
peg$maxFailExpected,
peg$maxFailPos
});
}
if (peg$result !== peg$FAILED && peg$currPos === input.length) {
return peg$result;
} else {
if (peg$result !== peg$FAILED && peg$currPos < input.length) {
peg$fail(peg$endExpectation());
}
throw peg$buildStructuredError(
peg$maxFailExpected,
peg$maxFailPos < input.length ? input.charAt(peg$maxFailPos) : null,
peg$maxFailPos < input.length
? peg$computeLocation(peg$maxFailPos, peg$maxFailPos + 1)
: peg$computeLocation(peg$maxFailPos, peg$maxFailPos)
);
}
}
return {
StartRules: ["LambdaTerm"],
SyntaxError: peg$SyntaxError,
parse: peg$parse
};
})()
;

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repl.ts Normal file
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const peggy = require("./parser.js");
const isVariable = (ast: any) => typeof ast === "string";
const isApplication = (ast: any) =>
typeof ast === "object" && "application" in ast;
const isAbstraction = (ast: any) =>
typeof ast === "object" && "abstraction" in ast;
const emitCode = (ast: any) => {
if (isVariable(ast)) {
return ast;
}
if (isApplication(ast)) {
const { application } = ast;
const { left, right } = application;
return `( ${emitCode(left)} ${emitCode(right)} )`;
}
const { abstraction } = ast;
const { param, body } = abstraction;
return `${emitCode(param)} . ${emitCode(body)})`;
};
const substitute = (param: string, term: any, result: any) => {
if (isVariable(term)) {
if (term === param) {
return result;
}
return term;
}
if (isApplication(term)) {
const { application } = term;
const { left, right } = application;
return {
application: {
left: substitute(param, left, result),
right: substitute(param, right, result),
},
};
}
const { abstraction } = term;
const { body } = abstraction;
return {
abstraction: {
param: abstraction.param,
body: substitute(param, body, result),
},
};
};
const betaReduce = (ast: any) => {
if (isVariable(ast)) {
return ast;
}
if (isApplication(ast)) {
const { application } = ast;
const { left, right } = application;
if (isAbstraction(left)) {
const { abstraction } = left;
const { param } = abstraction;
return substitute(param, right);
}
return {
application: {
left: betaReduce(left),
right: betaReduce(right),
},
};
}
// it's an abstraction
const { abstraction } = ast;
const { param, body } = abstraction;
return { param: betaReduce(param), body: betaReduce(body) };
};
const evaluate = (lambdaTerm: string) => {
const ast = peggy.parse(lambdaTerm);
const fullBetaReduction = betaReduce(ast);
return emitCode(fullBetaReduction);
};
const doRepl = async () => {
const prompt = ">>> ";
process.stdout.write(prompt);
for await (const line of console) {
const result = evaluate(line);
console.log(result);
break;
}
await doRepl();
};
await doRepl();