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bundle.js
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bundle.js
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(function(){function r(e,n,t){function o(i,f){if(!n[i]){if(!e[i]){var c="function"==typeof require&&require;if(!f&&c)return c(i,!0);if(u)return u(i,!0);var a=new Error("Cannot find module '"+i+"'");throw a.code="MODULE_NOT_FOUND",a}var p=n[i]={exports:{}};e[i][0].call(p.exports,function(r){var n=e[i][1][r];return o(n||r)},p,p.exports,r,e,n,t)}return n[i].exports}for(var u="function"==typeof require&&require,i=0;i<t.length;i++)o(t[i]);return o}return r})()({1:[function(require,module,exports){
"use strict";
Object.defineProperty(exports, "__esModule", { value: true });
exports.log = exports.setConfig = exports.config = void 0;
exports.config = {
debug: false,
showEnvs: false,
};
const setConfig = (c) => {
for (let k in c)
exports.config[k] = c[k];
};
exports.setConfig = setConfig;
const log = (msg) => {
if (exports.config.debug)
console.log(msg());
};
exports.log = log;
},{}],2:[function(require,module,exports){
"use strict";
Object.defineProperty(exports, "__esModule", { value: true });
exports.conv = exports.eqHead = void 0;
const config_1 = require("./config");
const usage_1 = require("./usage");
const list_1 = require("./utils/list");
const utils_1 = require("./utils/utils");
const values_1 = require("./values");
const eqHead = (a, b) => {
if (a === b)
return true;
if (a.tag === 'HVar')
return b.tag === 'HVar' && a.level === b.level;
return a.tag;
};
exports.eqHead = eqHead;
const convElim = (k, a, b, x, y) => {
if (a === b)
return;
if (a.tag === 'EApp' && b.tag === 'EApp')
return exports.conv(k, a.arg, b.arg);
if (a.tag === 'EIndVoid' && b.tag === 'EIndVoid')
return exports.conv(k, a.motive, b.motive);
if (a.tag === 'EIndUnit' && b.tag === 'EIndUnit') {
exports.conv(k, a.motive, b.motive);
return exports.conv(k, a.cas, b.cas);
}
if (a.tag === 'EIndSigma' && b.tag === 'EIndSigma' && a.usage === b.usage) {
exports.conv(k, a.motive, b.motive);
return exports.conv(k, a.cas, b.cas);
}
if (a.tag === 'EIndSum' && b.tag === 'EIndSum' && a.usage === b.usage) {
exports.conv(k, a.motive, b.motive);
exports.conv(k, a.caseLeft, b.caseLeft);
return exports.conv(k, a.caseRight, b.caseRight);
}
if (a.tag === 'EIndFix' && b.tag === 'EIndFix' && a.usage === b.usage) {
exports.conv(k, a.motive, b.motive);
return exports.conv(k, a.cas, b.cas);
}
if (a.tag === 'EHelloWorld' && b.tag === 'EHelloWorld')
return;
return utils_1.terr(`conv failed (${k}): ${values_1.show(x, k)} ~ ${values_1.show(y, k)}`);
};
const conv = (k, a, b) => {
config_1.log(() => `conv(${k}): ${values_1.show(a, k)} ~ ${values_1.show(b, k)}`);
if (a === b)
return;
if (a.tag === 'VVoid' && b.tag === 'VVoid')
return;
if (a.tag === 'VUnitType' && b.tag === 'VUnitType')
return;
if (a.tag === 'VUnit' && b.tag === 'VUnit')
return;
if (a.tag === 'VWorld' && b.tag === 'VWorld')
return;
if (a.tag === 'VWorldToken' && b.tag === 'VWorldToken')
return;
if (a.tag === 'VPi' && b.tag === 'VPi' && a.usage === b.usage) {
exports.conv(k, a.type, b.type);
const v = values_1.VVar(k);
return exports.conv(k + 1, values_1.vinst(a, v), values_1.vinst(b, v));
}
if (a.tag === 'VSigma' && b.tag === 'VSigma' && a.usage === b.usage) {
exports.conv(k, a.type, b.type);
const v = values_1.VVar(k);
return exports.conv(k + 1, values_1.vinst(a, v), values_1.vinst(b, v));
}
if (a.tag === 'VAbs' && b.tag === 'VAbs') {
const v = values_1.VVar(k);
return exports.conv(k + 1, values_1.vinst(a, v), values_1.vinst(b, v));
}
if (a.tag === 'VPair' && b.tag === 'VPair') {
exports.conv(k, a.fst, b.fst);
return exports.conv(k, a.snd, b.snd);
}
if (a.tag === 'VSum' && b.tag === 'VSum') {
exports.conv(k, a.left, b.left);
return exports.conv(k, a.right, b.right);
}
if (a.tag === 'VInj' && b.tag === 'VInj' && a.which === b.which) {
exports.conv(k, a.left, b.left);
exports.conv(k, a.right, b.right);
return exports.conv(k, a.val, b.val);
}
if (a.tag === 'VCon' && b.tag === 'VCon') {
exports.conv(k, a.sig, b.sig);
return exports.conv(k, a.val, b.val);
}
if (a.tag === 'VFix' && b.tag === 'VFix')
return exports.conv(k, a.sig, b.sig);
if (a.tag === 'VAbs') {
const v = values_1.VVar(k);
return exports.conv(k + 1, values_1.vinst(a, v), values_1.vapp(b, v));
}
if (b.tag === 'VAbs') {
const v = values_1.VVar(k);
return exports.conv(k + 1, values_1.vapp(a, v), values_1.vinst(b, v));
}
if (a.tag === 'VPair') {
const [fst, snd] = etaSigma(a, b);
exports.conv(k, a.fst, fst);
return exports.conv(k, a.snd, snd);
}
if (b.tag === 'VPair') {
const [fst, snd] = etaSigma(b, a);
exports.conv(k, fst, b.fst);
return exports.conv(k, snd, b.snd);
}
if (a.tag === 'VUnit' || b.tag === 'VUnit')
return;
if (a.tag === 'VNe' && b.tag === 'VNe' && exports.eqHead(a.head, b.head))
return list_1.zipWithR_((x, y) => convElim(k, x, y, a, b), a.spine, b.spine);
return utils_1.terr(`conv failed (${k}): ${values_1.show(a, k)} ~ ${values_1.show(b, k)}`);
};
exports.conv = conv;
const etaSigma = (a, b) => {
/*
TODO: is this correct?
x ~ indSigma (\_. s.type) t (\(x : s.type) (y : s.body(x)). x)
y ~ indSigma (\_. s.body(x)) t (\(x : _) (y : _). y)
--------------------------
(x, y : s) ~ t
*/
const sigma = a.type;
const fst = values_1.vindsigma(usage_1.UsageRig.default, values_1.VAbs(usage_1.UsageRig.default, '_', sigma, _ => sigma.type), b, values_1.VAbs(sigma.usage, 'x', sigma.type, x => values_1.VAbs(usage_1.UsageRig.one, 'y', values_1.vinst(sigma, x), _ => x)));
const snd = values_1.vindsigma(usage_1.UsageRig.default, values_1.VAbs(usage_1.UsageRig.default, '_', sigma, _ => values_1.vinst(sigma, fst)), b, values_1.VAbs(sigma.usage, 'x', sigma.type, x => values_1.VAbs(usage_1.UsageRig.one, 'y', values_1.vinst(sigma, x), y => y)));
return [fst, snd];
};
},{"./config":1,"./usage":10,"./utils/list":11,"./utils/utils":12,"./values":13}],3:[function(require,module,exports){
"use strict";
Object.defineProperty(exports, "__esModule", { value: true });
exports.show = exports.flattenSum = exports.flattenPair = exports.flattenSigma = exports.flattenApp = exports.flattenAbs = exports.flattenPi = exports.HelloWorld = exports.UpdateWorld = exports.WorldToken = exports.World = exports.IndFix = exports.Con = exports.Fix = exports.IndSum = exports.Inj = exports.Sum = exports.IndSigma = exports.Pair = exports.Sigma = exports.IndUnit = exports.Unit = exports.UnitType = exports.IndVoid = exports.Void = exports.Let = exports.App = exports.Abs = exports.Pi = exports.Var = exports.Type = void 0;
const usage_1 = require("./usage");
exports.Type = { tag: 'Type' };
const Var = (index) => ({ tag: 'Var', index });
exports.Var = Var;
const Pi = (usage, name, type, body) => ({ tag: 'Pi', usage, name, type, body });
exports.Pi = Pi;
const Abs = (usage, name, type, body) => ({ tag: 'Abs', usage, name, type, body });
exports.Abs = Abs;
const App = (fn, arg) => ({ tag: 'App', fn, arg });
exports.App = App;
const Let = (usage, name, type, val, body) => ({ tag: 'Let', usage, name, type, val, body });
exports.Let = Let;
exports.Void = { tag: 'Void' };
const IndVoid = (motive, scrut) => ({ tag: 'IndVoid', motive, scrut });
exports.IndVoid = IndVoid;
exports.UnitType = { tag: 'UnitType' };
exports.Unit = { tag: 'Unit' };
const IndUnit = (motive, scrut, cas) => ({ tag: 'IndUnit', motive, scrut, cas });
exports.IndUnit = IndUnit;
const Sigma = (usage, name, type, body) => ({ tag: 'Sigma', usage, name, type, body });
exports.Sigma = Sigma;
const Pair = (fst, snd, type) => ({ tag: 'Pair', fst, snd, type });
exports.Pair = Pair;
const IndSigma = (usage, motive, scrut, cas) => ({ tag: 'IndSigma', usage, motive, scrut, cas });
exports.IndSigma = IndSigma;
const Sum = (left, right) => ({ tag: 'Sum', left, right });
exports.Sum = Sum;
const Inj = (which, left, right, val) => ({ tag: 'Inj', which, left, right, val });
exports.Inj = Inj;
const IndSum = (usage, motive, scrut, caseLeft, caseRight) => ({ tag: 'IndSum', usage, motive, scrut, caseLeft, caseRight });
exports.IndSum = IndSum;
const Fix = (sig) => ({ tag: 'Fix', sig });
exports.Fix = Fix;
const Con = (sig, val) => ({ tag: 'Con', sig, val });
exports.Con = Con;
const IndFix = (usage, motive, scrut, cas) => ({ tag: 'IndFix', usage, motive, scrut, cas });
exports.IndFix = IndFix;
exports.World = { tag: 'World' };
exports.WorldToken = { tag: 'WorldToken' };
const UpdateWorld = (usage, type, cont) => ({ tag: 'UpdateWorld', usage, type, cont });
exports.UpdateWorld = UpdateWorld;
const HelloWorld = (arg) => ({ tag: 'HelloWorld', arg });
exports.HelloWorld = HelloWorld;
const flattenPi = (t) => {
const params = [];
let c = t;
while (c.tag === 'Pi') {
params.push([c.usage, c.name, c.type]);
c = c.body;
}
return [params, c];
};
exports.flattenPi = flattenPi;
const flattenAbs = (t) => {
const params = [];
let c = t;
while (c.tag === 'Abs') {
params.push([c.usage, c.name, c.type]);
c = c.body;
}
return [params, c];
};
exports.flattenAbs = flattenAbs;
const flattenApp = (t) => {
const args = [];
let c = t;
while (c.tag === 'App') {
args.push(c.arg);
c = c.fn;
}
return [c, args.reverse()];
};
exports.flattenApp = flattenApp;
const flattenSigma = (t) => {
const params = [];
let c = t;
while (c.tag === 'Sigma') {
params.push([c.usage, c.name, c.type]);
c = c.body;
}
return [params, c];
};
exports.flattenSigma = flattenSigma;
const flattenPair = (t) => {
const r = [];
while (t.tag === 'Pair') {
r.push(t.fst);
t = t.snd;
}
r.push(t);
return r;
};
exports.flattenPair = flattenPair;
const flattenSum = (t) => {
const r = [];
while (t.tag === 'Sum') {
r.push(t.left);
t = t.right;
}
r.push(t);
return r;
};
exports.flattenSum = flattenSum;
const showP = (b, t) => b ? `(${exports.show(t)})` : exports.show(t);
const isSimple = (t) => t.tag === 'Type' || t.tag === 'Var' || t.tag === 'Void' || t.tag === 'UnitType' || t.tag === 'Unit' || t.tag === 'Pair' || t.tag === 'World' || t.tag === 'WorldToken';
const showS = (t) => showP(!isSimple(t), t);
const show = (t) => {
if (t.tag === 'Type')
return 'Type';
if (t.tag === 'Void')
return 'Void';
if (t.tag === 'UnitType')
return '()';
if (t.tag === 'Unit')
return '*';
if (t.tag === 'Var')
return `${t.index}`;
if (t.tag === 'Pi') {
const [params, ret] = exports.flattenPi(t);
return `${params.map(([u, x, t]) => u === usage_1.UsageRig.default && x === '_' ? showP(t.tag === 'Pi' || t.tag === 'Sigma' || t.tag === 'Let', t) : `(${u === usage_1.UsageRig.default ? '' : `${u} `}${x} : ${exports.show(t)})`).join(' -> ')} -> ${exports.show(ret)}`;
}
if (t.tag === 'Sigma') {
const [params, ret] = exports.flattenSigma(t);
return `${params.map(([u, x, t]) => u === usage_1.UsageRig.default && x === '_' ? showP(t.tag === 'Pi' || t.tag === 'Sigma' || t.tag === 'Let', t) : `(${u === usage_1.UsageRig.default ? '' : `${u} `}${x} : ${exports.show(t)})`).join(' ** ')} ** ${exports.show(ret)}`;
}
if (t.tag === 'Abs') {
const [params, body] = exports.flattenAbs(t);
return `\\${params.map(([u, x, t]) => `(${u === usage_1.UsageRig.default ? '' : `${u} `}${x} : ${exports.show(t)})`).join(' ')}. ${exports.show(body)}`;
}
if (t.tag === 'App') {
const [fn, args] = exports.flattenApp(t);
return `${showP(!isSimple(fn), fn)} ${args.map(t => showP(!isSimple(t), t)).join(' ')}`;
}
if (t.tag === 'Let')
return `let ${t.usage === usage_1.UsageRig.default ? '' : `${t.usage} `}${t.name} : ${showP(t.type.tag === 'Let', t.type)} = ${showP(t.val.tag === 'Let', t.val)}; ${exports.show(t.body)}`;
if (t.tag === 'Pair') {
const ps = exports.flattenPair(t);
return `(${ps.map(t => exports.show(t)).join(', ')} : ${exports.show(t.type)})`;
}
if (t.tag === 'Sum')
return exports.flattenSum(t).map(x => showP(!isSimple(x) && x.tag !== 'App', x)).join(' ++ ');
if (t.tag === 'Inj')
return `${t.which} ${showS(t.left)} ${showS(t.right)} ${showS(t.val)}`;
if (t.tag === 'IndVoid')
return `indVoid ${showS(t.motive)} ${showS(t.scrut)}`;
if (t.tag === 'IndUnit')
return `indUnit ${showS(t.motive)} ${showS(t.scrut)} ${showS(t.cas)}`;
if (t.tag === 'IndSum')
return `indSum ${t.usage === usage_1.UsageRig.default ? '' : `${t.usage} `}${showS(t.motive)} ${showS(t.scrut)} ${showS(t.caseLeft)} ${showS(t.caseRight)}`;
if (t.tag === 'IndSigma')
return `indSigma ${t.usage === usage_1.UsageRig.default ? '' : `${t.usage} `}${showS(t.motive)} ${showS(t.scrut)} ${showS(t.cas)}`;
if (t.tag === 'Fix')
return `Fix ${showS(t.sig)}`;
if (t.tag === 'Con')
return `Con ${showS(t.sig)} ${showS(t.val)}`;
if (t.tag === 'IndFix')
return `indFix ${t.usage === usage_1.UsageRig.default ? '' : `${t.usage} `}${showS(t.motive)} ${showS(t.scrut)} ${showS(t.cas)}`;
if (t.tag === 'World')
return 'World';
if (t.tag === 'WorldToken')
return 'WorldToken';
if (t.tag === 'UpdateWorld')
return `updateWorld ${t.usage === usage_1.UsageRig.default ? '' : `${t.usage} `}${showS(t.type)} ${showS(t.cont)}`;
if (t.tag === 'HelloWorld')
return `helloWorld ${showS(t.arg)}`;
return t;
};
exports.show = show;
},{"./usage":10}],4:[function(require,module,exports){
"use strict";
Object.defineProperty(exports, "__esModule", { value: true });
exports.elaborate = exports.unsafeLocalPop = exports.localExtend = exports.localEmpty = exports.Local = exports.EntryT = void 0;
const config_1 = require("./config");
const core_1 = require("./core");
const list_1 = require("./utils/list");
const utils_1 = require("./utils/utils");
const values_1 = require("./values");
const S = require("./surface");
const surface_1 = require("./surface");
const conversion_1 = require("./conversion");
const usage_1 = require("./usage");
const EntryT = (type, usage) => ({ type, usage });
exports.EntryT = EntryT;
const indexT = (ts, ix) => {
let l = ts;
let i = 0;
while (l.tag === 'Cons') {
if (ix === 0)
return [l.head, i];
i++;
ix--;
l = l.tail;
}
return null;
};
const Local = (level, ns, ts, vs) => ({ level, ns, ts, vs });
exports.Local = Local;
exports.localEmpty = exports.Local(0, list_1.Nil, list_1.Nil, list_1.Nil);
const localExtend = (local, name, ty, usage, val = values_1.VVar(local.level)) => exports.Local(local.level + 1, list_1.Cons(name, local.ns), list_1.Cons(exports.EntryT(ty, usage), local.ts), list_1.Cons(val, local.vs));
exports.localExtend = localExtend;
const unsafeLocalPop = (local) => exports.Local(local.level - 1, local.ns.tail, local.ts.tail, local.vs.tail);
exports.unsafeLocalPop = unsafeLocalPop;
const showVal = (local, val) => S.showVal(val, local.level, local.ns);
const check = (local, tm, ty) => {
config_1.log(() => `check ${surface_1.show(tm)} : ${showVal(local, ty)}`);
if (tm.tag === 'Type' && ty.tag === 'VType')
return [core_1.Type, usage_1.noUses(local.level)];
if (tm.tag === 'Void' && ty.tag === 'VType')
return [core_1.Void, usage_1.noUses(local.level)];
if (tm.tag === 'World' && ty.tag === 'VType')
return [core_1.World, usage_1.noUses(local.level)];
if (tm.tag === 'UnitType' && ty.tag === 'VType')
return [core_1.UnitType, usage_1.noUses(local.level)];
if (tm.tag === 'Unit' && ty.tag === 'VUnitType')
return [core_1.Unit, usage_1.noUses(local.level)];
if (tm.tag === 'Abs' && !tm.type && ty.tag === 'VPi') {
const v = values_1.VVar(local.level);
const x = tm.name;
const [body, u] = check(exports.localExtend(local, x, ty.type, ty.usage, v), tm.body, values_1.vinst(ty, v));
const [ux, urest] = list_1.uncons(u);
if (!usage_1.UsageRig.sub(ux, ty.usage))
return utils_1.terr(`usage error in ${surface_1.show(tm)}: expected ${ty.usage} for ${x} but actual ${ux}`);
return [core_1.Abs(ty.usage, x, values_1.quote(ty.type, local.level), body), urest];
}
if (tm.tag === 'Pair' && ty.tag === 'VSigma') {
const [fst, u1] = check(local, tm.fst, ty.type);
const [snd, u2] = check(local, tm.snd, values_1.vinst(ty, values_1.evaluate(fst, local.vs)));
return [core_1.Pair(fst, snd, values_1.quote(ty, local.level)), usage_1.addUses(usage_1.multiplyUses(ty.usage, u1), u2)];
}
if (tm.tag === 'Inj' && ty.tag === 'VSum') {
const [val, u] = check(local, tm.val, tm.which === 'Left' ? ty.left : ty.right);
return [core_1.Inj(tm.which, values_1.quote(ty.left, local.level), values_1.quote(ty.right, local.level), val), u];
}
if (tm.tag === 'Con' && ty.tag === 'VFix') {
const [val, u] = check(local, tm.val, values_1.vapp(ty.sig, ty));
return [core_1.Con(values_1.quote(ty.sig, local.level), val), u];
}
if (tm.tag === 'Hole') {
const res = [];
for (let i = 0; i < local.level; i++) {
const entry = list_1.index(local.ts, i);
const name = list_1.index(local.ns, i);
const value = list_1.index(local.vs, i);
res.push(`${entry ? entry.usage : '?'} ${name} : ${entry && entry.type ? showVal(local, entry.type) : '?'} = ${value ? showVal(local, value) : '?'}`);
}
return utils_1.terr(`hole _${tm.name} : ${showVal(local, ty)} in ${res.join('; ')}`);
}
if (tm.tag === 'Let') {
let vtype;
let vty;
let val;
let uv;
if (tm.type) {
[vtype] = check(local, tm.type, values_1.VType);
vty = values_1.evaluate(vtype, local.vs);
[val, uv] = check(local, tm.val, ty);
}
else {
[val, vty, uv] = synth(local, tm.val);
vtype = values_1.quote(vty, local.level);
}
const v = values_1.evaluate(val, local.vs);
const [body, ub] = check(exports.localExtend(local, tm.name, vty, tm.usage, v), tm.body, ty);
const [ux, urest] = list_1.uncons(ub);
if (!usage_1.UsageRig.sub(ux, tm.usage))
return utils_1.terr(`usage error in ${surface_1.show(tm)}: expected ${tm.usage} for ${tm.name} but actual ${ux}`);
return [core_1.Let(tm.usage, tm.name, vtype, val, body), usage_1.addUses(usage_1.multiplyUses(ux, uv), urest)];
}
const [term, ty2, uses] = synth(local, tm);
return utils_1.tryT(() => {
config_1.log(() => `unify ${showVal(local, ty2)} ~ ${showVal(local, ty)}`);
conversion_1.conv(local.level, ty2, ty);
return [term, uses];
}, e => utils_1.terr(`check failed (${surface_1.show(tm)}): ${showVal(local, ty2)} ~ ${showVal(local, ty)}: ${e}`));
};
const synth = (local, tm) => {
config_1.log(() => `synth ${surface_1.show(tm)}`);
if (tm.tag === 'Type')
return [core_1.Type, values_1.VType, usage_1.noUses(local.level)];
if (tm.tag === 'Void')
return [core_1.Void, values_1.VType, usage_1.noUses(local.level)];
if (tm.tag === 'UnitType')
return [core_1.UnitType, values_1.VType, usage_1.noUses(local.level)];
if (tm.tag === 'Unit')
return [core_1.Unit, values_1.VUnitType, usage_1.noUses(local.level)];
if (tm.tag === 'Var') {
const i = list_1.indexOf(local.ns, tm.name);
if (i < 0)
return utils_1.terr(`undefined var ${tm.name}`);
else {
const [entry, j] = indexT(local.ts, i) || utils_1.terr(`var out of scope ${surface_1.show(tm)}`);
const uses = list_1.updateAt(usage_1.noUses(local.level), j, _ => usage_1.UsageRig.one);
return [core_1.Var(j), entry.type, uses];
}
}
if (tm.tag === 'App') {
const [fntm, fnty, fnu] = synth(local, tm.fn);
const [argtm, rty, fnarg] = synthapp(local, fnty, tm.arg);
return [core_1.App(fntm, argtm), rty, usage_1.addUses(fnu, fnarg)];
}
if (tm.tag === 'Abs') {
if (tm.type) {
const [type] = check(local, tm.type, values_1.VType);
const ty = values_1.evaluate(type, local.vs);
const [body, rty, u] = synth(exports.localExtend(local, tm.name, ty, tm.usage), tm.body);
const pi = values_1.evaluate(core_1.Pi(tm.usage, tm.name, type, values_1.quote(rty, local.level + 1)), local.vs);
const [ux, urest] = list_1.uncons(u);
if (!usage_1.UsageRig.sub(ux, tm.usage))
return utils_1.terr(`usage error in ${surface_1.show(tm)}: expected ${tm.usage} for ${tm.name} but actual ${ux}`);
return [core_1.Abs(tm.usage, tm.name, type, body), pi, urest];
}
else
utils_1.terr(`cannot synth unannotated lambda: ${surface_1.show(tm)}`);
}
if (tm.tag === 'Pi') {
const [type, u1] = check(local, tm.type, values_1.VType);
const ty = values_1.evaluate(type, local.vs);
const [body, u2] = check(exports.localExtend(local, tm.name, ty, '0'), tm.body, values_1.VType);
const [, urest] = list_1.uncons(u2);
return [core_1.Pi(tm.usage, tm.name, type, body), values_1.VType, usage_1.addUses(u1, urest)];
}
if (tm.tag === 'Sigma') {
const [type, u1] = check(local, tm.type, values_1.VType);
const ty = values_1.evaluate(type, local.vs);
const [body, u2] = check(exports.localExtend(local, tm.name, ty, '0'), tm.body, values_1.VType);
const [, urest] = list_1.uncons(u2);
return [core_1.Sigma(tm.usage, tm.name, type, body), values_1.VType, usage_1.addUses(u1, urest)];
}
if (tm.tag === 'Pair') {
const [fst, ty1, u1] = synth(local, tm.fst);
const [snd, ty2, u2] = synth(local, tm.snd);
const ty = values_1.VSigma(usage_1.UsageRig.default, '_', ty1, _ => ty2);
return [core_1.Pair(fst, snd, values_1.quote(ty, local.level)), ty, usage_1.addUses(usage_1.multiplyUses(ty.usage, u1), u2)];
}
if (tm.tag === 'Let') {
let type;
let ty;
let val;
let uv;
if (tm.type) {
[type] = check(local, tm.type, values_1.VType);
ty = values_1.evaluate(type, local.vs);
[val, uv] = check(local, tm.val, ty);
}
else {
[val, ty, uv] = synth(local, tm.val);
type = values_1.quote(ty, local.level);
}
const v = values_1.evaluate(val, local.vs);
const [body, rty, ub] = synth(exports.localExtend(local, tm.name, ty, tm.usage, v), tm.body);
const [ux, urest] = list_1.uncons(ub);
if (!usage_1.UsageRig.sub(ux, tm.usage))
return utils_1.terr(`usage error in ${surface_1.show(tm)}: expected ${tm.usage} for ${tm.name} but actual ${ux}`);
return [core_1.Let(tm.usage, tm.name, type, val, body), rty, usage_1.addUses(usage_1.multiplyUses(ux, uv), urest)];
}
if (tm.tag === 'Sum') {
const [left, u1] = check(local, tm.left, values_1.VType);
const [right, u2] = check(local, tm.right, values_1.VType);
return [core_1.Sum(left, right), values_1.VType, usage_1.addUses(u1, u2)];
}
if (tm.tag === 'Inj') {
const [val, ty, u] = synth(local, tm.val);
return tm.which === 'Left' ?
[core_1.Inj('Left', values_1.quote(ty, local.level), core_1.Void, val), values_1.VSum(ty, values_1.VVoid), u] :
[core_1.Inj('Right', core_1.Void, values_1.quote(ty, local.level), val), values_1.VSum(values_1.VVoid, ty), u];
}
if (tm.tag === 'IndVoid') {
const [motive] = check(local, tm.motive, values_1.VPi(usage_1.UsageRig.default, '_', values_1.VVoid, _ => values_1.VType));
const [scrut, u] = check(local, tm.scrut, values_1.VVoid);
return [core_1.IndVoid(motive, scrut), values_1.vapp(values_1.evaluate(motive, local.vs), values_1.evaluate(scrut, local.vs)), u];
}
if (tm.tag === 'IndUnit') {
const [motive] = check(local, tm.motive, values_1.VPi(usage_1.UsageRig.default, '_', values_1.VUnitType, _ => values_1.VType));
const [scrut, u1] = check(local, tm.scrut, values_1.VUnitType);
const vmotive = values_1.evaluate(motive, local.vs);
const [cas, u2] = check(local, tm.cas, values_1.vapp(vmotive, values_1.VUnit));
return [core_1.IndUnit(motive, scrut, cas), values_1.vapp(vmotive, values_1.evaluate(scrut, local.vs)), usage_1.addUses(u1, u2)];
}
if (tm.tag === 'IndSigma') {
if (!usage_1.UsageRig.sub(usage_1.UsageRig.one, tm.usage))
return utils_1.terr(`usage must be 1 <= q in sigma induction ${surface_1.show(tm)}: ${tm.usage}`);
const [scrut, sigma, u1] = synth(local, tm.scrut);
if (sigma.tag !== 'VSigma')
return utils_1.terr(`not a sigma type in ${surface_1.show(tm)}: ${showVal(local, sigma)}`);
const [motive] = check(local, tm.motive, values_1.VPi(usage_1.UsageRig.default, '_', sigma, _ => values_1.VType));
const vmotive = values_1.evaluate(motive, local.vs);
const [cas, u2] = check(local, tm.cas, values_1.VPi(usage_1.UsageRig.multiply(tm.usage, sigma.usage), 'x', sigma.type, x => values_1.VPi(tm.usage, 'y', values_1.vinst(sigma, x), y => values_1.vapp(vmotive, values_1.VPair(x, y, sigma)))));
return [core_1.IndSigma(tm.usage, motive, scrut, cas), values_1.vapp(vmotive, values_1.evaluate(scrut, local.vs)), usage_1.multiplyUses(tm.usage, usage_1.addUses(u1, u2))];
}
if (tm.tag === 'IndSum') {
if (!usage_1.UsageRig.sub(usage_1.UsageRig.one, tm.usage))
return utils_1.terr(`usage must be 1 <= q in sum induction ${surface_1.show(tm)}: ${tm.usage}`);
const [scrut, sumty, u1] = synth(local, tm.scrut);
if (sumty.tag !== 'VSum')
return utils_1.terr(`not a sumtype in ${surface_1.show(tm)}: ${showVal(local, sumty)}`);
const [motive] = check(local, tm.motive, values_1.VPi(usage_1.UsageRig.default, '_', sumty, _ => values_1.VType));
const vmotive = values_1.evaluate(motive, local.vs);
const [caseLeft, uleft] = check(local, tm.caseLeft, values_1.VPi(tm.usage, 'x', sumty.left, x => values_1.vapp(vmotive, values_1.VInj('Left', sumty.left, sumty.right, x))));
const [caseRight, uright] = check(local, tm.caseRight, values_1.VPi(tm.usage, 'x', sumty.right, x => values_1.vapp(vmotive, values_1.VInj('Right', sumty.left, sumty.right, x))));
const u2 = usage_1.lubUses(uleft, uright);
if (!u2) {
const wrongVars = list_1.toArray(list_1.filter(list_1.zipWith((a, i) => [a, i], list_1.zipWith(usage_1.UsageRig.lub, uleft, uright), list_1.range(local.level)), ([x]) => x === null), ([, i]) => `left: ${list_1.index(uleft, i)}, right: ${list_1.index(uright, i)}, variable: ${list_1.index(local.ns, i)} (${i})`);
return utils_1.terr(`usage mismatch in sum branches ${surface_1.show(tm)}: ${wrongVars.join('; ')}`);
}
return [core_1.IndSum(tm.usage, motive, scrut, caseLeft, caseRight), values_1.vapp(vmotive, values_1.evaluate(scrut, local.vs)), usage_1.addUses(usage_1.multiplyUses(tm.usage, u1), u2)];
}
if (tm.tag === 'World')
return [core_1.World, values_1.VType, usage_1.noUses(local.level)];
if (tm.tag === 'Fix') {
const [sig, u] = check(local, tm.sig, values_1.VPi(usage_1.UsageRig.default, '_', values_1.VType, _ => values_1.VType));
return [core_1.Fix(sig), values_1.VType, u];
}
if (tm.tag === 'IndFix') {
if (!usage_1.UsageRig.sub(usage_1.UsageRig.one, tm.usage))
return utils_1.terr(`usage must be 1 <= q in fix induction ${surface_1.show(tm)}: ${tm.usage}`);
const [scrut, fixty, u1] = synth(local, tm.scrut);
if (fixty.tag !== 'VFix')
return utils_1.terr(`not a fix type in ${surface_1.show(tm)}: ${showVal(local, fixty)}`);
const [motive] = check(local, tm.motive, values_1.VPi(usage_1.UsageRig.default, '_', fixty, _ => values_1.VType));
const vmotive = values_1.evaluate(motive, local.vs);
// ((q z : Fix f) -> P z) -> (q y : f (Fix f)) -> P (Con f y)
const [cas, u2] = check(local, tm.cas, values_1.VPi(usage_1.UsageRig.default, '_', values_1.VPi(tm.usage, 'z', fixty, z => values_1.vapp(vmotive, z)), _ => values_1.VPi(tm.usage, 'y', values_1.vapp(fixty.sig, fixty), y => values_1.vapp(vmotive, values_1.VCon(fixty.sig, y)))));
return [core_1.IndFix(tm.usage, motive, scrut, cas), values_1.vapp(vmotive, values_1.evaluate(scrut, local.vs)), usage_1.addUses(usage_1.multiplyUses(tm.usage, u1), u2)];
}
if (tm.tag === 'UpdateWorld') {
const [type] = check(local, tm.type, values_1.VType);
const ty = values_1.evaluate(type, local.vs);
const [cont, u] = check(local, tm.cont, values_1.VPi(usage_1.UsageRig.one, '_', values_1.VWorld, _ => values_1.VSigma(tm.usage, '_', ty, _ => values_1.VWorld)));
return [core_1.UpdateWorld(tm.usage, type, cont), ty, usage_1.multiplyUses(tm.usage, u)];
}
if (tm.tag === 'HelloWorld') {
const [arg, u] = check(local, tm.arg, values_1.VWorld);
return [core_1.HelloWorld(arg), values_1.VWorld, u];
}
return utils_1.terr(`unable to synth ${surface_1.show(tm)}`);
};
const synthapp = (local, ty, arg) => {
config_1.log(() => `synthapp ${showVal(local, ty)} @ ${surface_1.show(arg)}`);
if (ty.tag === 'VPi') {
const cty = ty.type;
const [term, uses] = check(local, arg, cty);
const v = values_1.evaluate(term, local.vs);
return [term, values_1.vinst(ty, v), usage_1.multiplyUses(ty.usage, uses)];
}
return utils_1.terr(`not a correct pi type in synthapp: ${showVal(local, ty)} @ ${surface_1.show(arg)}`);
};
const elaborate = (t, local = exports.localEmpty) => {
const [tm, vty] = synth(local, t);
const ty = values_1.quote(vty, 0);
return [tm, ty];
};
exports.elaborate = elaborate;
},{"./config":1,"./conversion":2,"./core":3,"./surface":9,"./usage":10,"./utils/list":11,"./utils/utils":12,"./values":13}],5:[function(require,module,exports){
"use strict";
Object.defineProperty(exports, "__esModule", { value: true });
exports.chooseName = exports.nextName = void 0;
const list_1 = require("./utils/list");
const nextName = (x) => {
if (x === '_')
return x;
const s = x.split('$');
if (s.length === 2)
return `${s[0]}\$${+s[1] + 1}`;
return `${x}\$0`;
};
exports.nextName = nextName;
const chooseName = (x, ns) => x === '_' ? x : list_1.contains(ns, x) ? exports.chooseName(exports.nextName(x), ns) : x;
exports.chooseName = chooseName;
},{"./utils/list":11}],6:[function(require,module,exports){
"use strict";
Object.defineProperty(exports, "__esModule", { value: true });
exports.parse = void 0;
const utils_1 = require("./utils/utils");
const surface_1 = require("./surface");
const config_1 = require("./config");
const usage_1 = require("./usage");
const matchingBracket = (c) => {
if (c === '(')
return ')';
if (c === ')')
return '(';
if (c === '{')
return '}';
if (c === '}')
return '{';
return utils_1.serr(`invalid bracket: ${c}`);
};
const TName = (name) => ({ tag: 'Name', name });
const TNum = (num) => ({ tag: 'Num', num });
const TList = (list, bracket) => ({ tag: 'List', list, bracket });
const TStr = (str) => ({ tag: 'Str', str });
const SYM1 = ['\\', ':', '=', ';', '*', ','];
const SYM2 = ['->', '**', '++'];
const START = 0;
const NAME = 1;
const COMMENT = 2;
const NUMBER = 3;
const STRING = 4;
const tokenize = (sc) => {
let state = START;
let r = [];
let t = '';
let esc = false;
let p = [], b = [];
for (let i = 0, l = sc.length; i <= l; i++) {
const c = sc[i] || ' ';
const next = sc[i + 1] || '';
if (state === START) {
if (SYM2.indexOf(c + next) >= 0)
r.push(TName(c + next)), i++;
else if (SYM1.indexOf(c) >= 0)
r.push(TName(c));
else if (c === '"')
state = STRING;
else if (c === '.' && !/[\.\%\_a-z]/i.test(next))
r.push(TName('.'));
else if (c + next === '--')
i++, state = COMMENT;
else if (/[\-\.\?\@\#\%\_a-z]/i.test(c))
t += c, state = NAME;
else if (/[0-9]/.test(c))
t += c, state = NUMBER;
else if (c === '(' || c === '{')
b.push(c), p.push(r), r = [];
else if (c === ')' || c === '}') {
if (b.length === 0)
return utils_1.serr(`unmatched bracket: ${c}`);
const br = b.pop();
if (matchingBracket(br) !== c)
return utils_1.serr(`unmatched bracket: ${br} and ${c}`);
const a = p.pop();
a.push(TList(r, br));
r = a;
}
else if (/\s/.test(c))
continue;
else
return utils_1.serr(`invalid char ${c} in tokenize`);
}
else if (state === NAME) {
if (!(/[a-z0-9\-\_\/]/i.test(c) || (c === '.' && /[a-z0-9]/i.test(next)))) {
r.push(TName(t));
t = '', i--, state = START;
}
else
t += c;
}
else if (state === NUMBER) {
if (!/[0-9a-z\+\-]/i.test(c)) {
r.push(TNum(t));
t = '', i--, state = START;
}
else
t += c;
}
else if (state === COMMENT) {
if (c === '\n')
state = START;
}
else if (state === STRING) {
if (c === '\\')
esc = true;
else if (esc)
t += c, esc = false;
else if (c === '"') {
r.push(TStr(t));
t = '', state = START;
}
else
t += c;
}
}
if (b.length > 0)
return utils_1.serr(`unclosed brackets: ${b.join(' ')}`);
if (state !== START && state !== COMMENT)
return utils_1.serr('invalid tokenize end state');
if (esc)
return utils_1.serr(`escape is true after tokenize`);
return r;
};
const isName = (t, x) => t.tag === 'Name' && t.name === x;
const isNames = (t) => t.map(x => {
if (x.tag !== 'Name')
return utils_1.serr(`expected name`);
return x.name;
});
const splitTokens = (a, fn, keepSymbol = false) => {
const r = [];
let t = [];
for (let i = 0, l = a.length; i < l; i++) {
const c = a[i];
if (fn(c)) {
r.push(t);
t = keepSymbol ? [c] : [];
}
else
t.push(c);
}
r.push(t);
return r;
};
const usage = (t) => {
if (t.tag === 'Name' && usage_1.Usage.includes(t.name))
return t.name;
if (t.tag === 'Num' && usage_1.Usage.includes(t.num))
return t.num;
return null;
};
const lambdaParams = (t, fromRepl) => {
if (t.tag === 'Name')
return [[usage_1.UsageRig.default, t.name, false, null]];
if (t.tag === 'List') {
const impl = t.bracket === '{';
const a = t.list;
if (a.length === 0)
return [[usage_1.UsageRig.default, '_', impl, surface_1.UnitType]];
const i = a.findIndex(v => v.tag === 'Name' && v.name === ':');
if (i === -1)
return isNames(a).map(x => [usage_1.UsageRig.default, x, impl, null]);
let start = 0;
const n = a[0];
const pu = usage(n);
let u = usage_1.UsageRig.default;
if (pu !== null) {
u = pu;
start = 1;
}
const ns = a.slice(start, i);
const rest = a.slice(i + 1);
const ty = exprs(rest, '(', fromRepl);
return isNames(ns).map(x => [u, x, impl, ty]);
}
return utils_1.serr(`invalid lambda param`);
};
const piParams = (t, fromRepl) => {
if (t.tag === 'Name')
return [[usage_1.UsageRig.default, '_', false, expr(t, fromRepl)[0]]];
if (t.tag === 'List') {
const impl = t.bracket === '{';
const a = t.list;
if (a.length === 0)
return [[usage_1.UsageRig.default, '_', impl, surface_1.UnitType]];
const i = a.findIndex(v => v.tag === 'Name' && v.name === ':');
if (i === -1)
return [[usage_1.UsageRig.default, '_', impl, expr(t, fromRepl)[0]]];
let start = 0;
const n = a[0];
const pu = usage(n);
let u = usage_1.UsageRig.default;
if (pu !== null) {
u = pu;
start = 1;
}
const ns = a.slice(start, i);
const rest = a.slice(i + 1);
const ty = exprs(rest, '(', fromRepl);
return isNames(ns).map(x => [u, x, impl, ty]);
}
return utils_1.serr(`invalid pi param`);
};
const codepoints = (s) => {
const chars = [];
for (let i = 0; i < s.length; i++) {
const c1 = s.charCodeAt(i);
if (c1 >= 0xD800 && c1 < 0xDC00 && i + 1 < s.length) {
const c2 = s.charCodeAt(i + 1);
if (c2 >= 0xDC00 && c2 < 0xE000) {
chars.push(0x10000 + ((c1 - 0xD800) << 10) + (c2 - 0xDC00));
i++;
continue;
}
}
chars.push(c1);
}
return chars;
};
const numToNat = (n, orig) => {
if (isNaN(n))
return utils_1.serr(`invalid nat number: ${orig}`);
const s = surface_1.Var('S');
let c = surface_1.Var('Z');
for (let i = 0; i < n; i++)
c = surface_1.App(s, c);
return c;
};
const expr = (t, fromRepl) => {
if (t.tag === 'List')
return [exprs(t.list, '(', fromRepl), t.bracket === '{'];
if (t.tag === 'Str') {
const s = codepoints(t.str).reverse();
const Cons = surface_1.Var('Cons');
const Nil = surface_1.Var('Nil');
return [s.reduce((t, n) => surface_1.App(surface_1.App(Cons, numToNat(n, `codepoint: ${n}`)), t), Nil), false];
}
if (t.tag === 'Name') {
const x = t.name;
if (x === 'Type')
return [surface_1.Type, false];
if (x === 'Void')
return [surface_1.Void, false];
if (x === 'World')
return [surface_1.World, false];
if (x === '*')
return [surface_1.Unit, false];
if (x[0] === '_')
return [surface_1.Hole(x.slice(1)), false];
if (/[a-z]/i.test(x[0]))
return [surface_1.Var(x), false];
return utils_1.serr(`invalid name: ${x}`);
}
if (t.tag === 'Num') {
if (t.num.endsWith('b')) {
const n = +t.num.slice(0, -1);
if (isNaN(n))
return utils_1.serr(`invalid number: ${t.num}`);
const s0 = surface_1.Var('B0');
const s1 = surface_1.Var('B1');
let c = surface_1.Var('BE');
const s = n.toString(2);
for (let i = 0; i < s.length; i++)
c = surface_1.App(s[i] === '0' ? s0 : s1, c);
return [c, false];
}
else if (t.num.endsWith('f')) {
const n = +t.num.slice(0, -1);
if (isNaN(n))
return utils_1.serr(`invalid number: ${t.num}`);
const s = surface_1.Var('FS');
let c = surface_1.Var('FZ');
for (let i = 0; i < n; i++)
c = surface_1.App(s, c);
return [c, false];
}
else if (t.num.endsWith('n')) {
return [numToNat(+t.num.slice(0, -1), t.num), false];
}
else {
return [numToNat(+t.num, t.num), false];
}
}
return t;
};
const exprs = (ts, br, fromRepl) => {
if (br === '{')
return utils_1.serr(`{} cannot be used here`);
if (ts.length === 0)
return surface_1.UnitType;
if (ts.length === 1)
return expr(ts[0], fromRepl)[0];
if (isName(ts[0], 'let')) {
let x = ts[1];
let j = 2;
const pu = usage(x);
let u = usage_1.UsageRig.default;
if (pu !== null) {
u = pu;
x = ts[2];
j = 3;
}
let name = 'ERROR';
if (x.tag === 'Name') {
name = x.name;
}
else if (x.tag === 'List' && x.bracket === '{') {
const a = x.list;
if (a.length !== 1)
return utils_1.serr(`invalid name for let`);
const h = a[0];
if (h.tag !== 'Name')
return utils_1.serr(`invalid name for let`);
name = h.name;
}
else
return utils_1.serr(`invalid name for let`);
let ty = null;
if (isName(ts[j], ':')) {
const tyts = [];
j++;
for (; j < ts.length; j++) {
const v = ts[j];
if (v.tag === 'Name' && v.name === '=')
break;
else
tyts.push(v);
}
ty = exprs(tyts, '(', fromRepl);
}
if (!isName(ts[j], '='))
return utils_1.serr(`no = after name in let`);
const vals = [];
let found = false;
let i = j + 1;
for (; i < ts.length; i++) {
const c = ts[i];
if (c.tag === 'Name' && c.name === ';') {
found = true;
break;
}
vals.push(c);
}
if (vals.length === 0)
return utils_1.serr(`empty val in let`);
const val = exprs(vals, '(', fromRepl);
if (!found) {
if (!fromRepl)
return utils_1.serr(`no ; after let`);
return surface_1.Let(u, name, ty || null, val, null);
}
const body = exprs(ts.slice(i + 1), '(', fromRepl);
return surface_1.Let(u, name, ty || null, val, body);
}
const i = ts.findIndex(x => isName(x, ':'));
if (i >= 0) {
const a = ts.slice(0, i);
const b = ts.slice(i + 1);
return surface_1.Let(usage_1.UsageRig.default, 'x', exprs(b, '(', fromRepl), exprs(a, '(', fromRepl), surface_1.Var('x'));
}
if (isName(ts[0], '\\')) {
const args = [];
let found = false;
let i = 1;
for (; i < ts.length; i++) {
const c = ts[i];
if (isName(c, '.')) {
found = true;
break;
}
lambdaParams(c, fromRepl).forEach(x => args.push(x));
}
if (!found)
return utils_1.serr(`. not found after \\ or there was no whitespace after .`);
const body = exprs(ts.slice(i + 1), '(', fromRepl);
return args.reduceRight((x, [u, name, , ty]) => surface_1.Abs(u, name, ty, x), body);
}
if (isName(ts[0], 'Left') || isName(ts[0], 'Right')) {
const tag = ts[0].name;
const val = exprs(ts.slice(1), br, fromRepl);
return surface_1.Inj(tag, val);
}
if (isName(ts[0], 'indVoid')) {
if (ts.length !== 3)
return utils_1.serr(`indVoid expects exactly 2 arguments`);
const [motive] = expr(ts[1], fromRepl);