parent
114f32cdc7
commit
df0dc199a0
@ -1,82 +1,58 @@ |
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import { L, _, fromNative as __, cnst, id, pipe } from './core'; |
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import { Bool, iif } from './bool'; |
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import { Num, Zero, ge, ifz, pred, succ } from './num'; |
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import { _, cnst, g, id, l, m, pipe, r } from './core'; |
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import { iif } from './bool'; |
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import { Zero, ge, ifz, pred, succ } from './num'; |
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import { x00 } from './byte'; |
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import { Char, fromChar as _c, dec as cdec, inc as cinc, eq, ifn } from './char'; |
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import { fromChar as _c, dec as cdec, inc as cinc, eq, ifn } from './char'; |
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import { Pair, first, fst, second, snd, uncurry } from './pair'; |
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import { List, cons, head, repeat, set, singleton, tail, update } from './list'; |
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import { Empty, String, get, len, snoc } from './string'; |
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import { cons, head, repeat, set, singleton, tail, update } from './list'; |
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import { Empty, get, len, snoc } from './string'; |
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|
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type Program = Pair<List<Num>, String>; |
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m('bf'); |
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|
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type Tape = Pair<Num, List<Char>>; |
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const done = g('done', uncurry._(l('p', cnst._(uncurry._(l('is', l('cs', ge._(head._('is'))._(len._('cs')))))._('p'))))); |
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|
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type IO = Pair<String, String>; |
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const command = g('command', l('c', uncurry._(l('p', cnst._(eq._('c')._(uncurry._(pipe._(get)._(head))._('p'))))))); |
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|
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type State = Pair<Program, Pair<Tape, IO>>; |
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const advance = g('advance', first._(first._(update._(succ)._(Zero)))); |
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|
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const done: L<(s: State) => Bool> |
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= uncurry(_(p => cnst(uncurry(_(is => _(cs => ge(head(is))(len(cs)))))(p)))); |
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const save = g('save', first._(first._(l('is', cons._(head._('is'))._('is'))))); |
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|
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const command: L<(c: String) => L<(s: State) => Bool>> |
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= _(c => uncurry(_(p => cnst(eq(c)(uncurry(pipe(get)(head))(p)))))); |
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const restore = g('restore', first._(first._(tail))); |
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|
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const advance: L<(s: State) => State> |
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= first(first(update(succ)(Zero))); |
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const reset = g('reset', first._(first._(l('is', cons._(head._('is'))._(tail._(tail._('is'))))))); |
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const save: L<(s: State) => State> |
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= first(first(_(is => cons(head(is))(is)))); |
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const inc = g('inc', second._(first._(l('t', second._(update._(cinc)._(fst._('t')))._('t'))))); |
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|
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const restore: L<(s: State) => State> |
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= first(first(tail)); |
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const dec = g('dec', second._(first._(l('t', second._(update._(cdec)._(fst._('t')))._('t'))))); |
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|
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const reset: L<(s: State) => State> |
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= first(first(_(is => cons(head(is))(tail(tail(is)))))); |
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const read = g('read', pipe._(pipe._(uncurry._(get))._(fst))._(snd)); |
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|
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const inc: L<(t: State) => State> |
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= second(first(_(t => second(update(cinc)(fst(t)))(t)))); |
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const input = g('input', second._(uncurry._(l('t', l('io', Pair._(second._(set._(head._(fst._('io')))._(fst._('t')))._('t'))._(first._(tail)._('io'))))))); |
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const dec: L<(t: State) => State> |
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= second(first(_(t => second(update(cdec)(fst(t)))(t)))); |
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const output = g('output', second._(uncurry._(l('t', pipe._(Pair._('t'))._(second._(l('os', snoc._('os')._(uncurry._(get)._('t'))))))))); |
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|
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const read: L<(s: State) => Char> |
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= pipe(pipe(uncurry(get))(fst))(snd); |
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const next = g('next', second._(first._(first._(succ)))); |
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|
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const input: L<(s: State) => State> |
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= second(uncurry(_(t => _(io => Pair(second(set(head(fst(io)))(fst(t)))(t))(first(tail)(io)))))); |
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const prev = g('prev', second._(first._(first._(pred)))); |
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const output: L<(s: State) => State> |
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= second(uncurry(_(t => pipe(Pair(t))(second(_(os => snoc(os)(uncurry(get)(t)))))))); |
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const jump = g('jump', l('d', l('s', |
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iif._(command._(_c('['))._('s'))._(r('bf::jump')._(succ._('d'))) |
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._(iif._(command._(_c(']'))._('s'))._(ifz._(pred._('d'))._(cnst._('s'))._(r('bf::jump')._(pred._('d')))) |
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._(r('bf::jump')._('d')))._(advance._('s'))))); |
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|
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const next: L<(t: State) => State> |
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= second(first(first(succ))); |
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const whlnz = g('whlnz', l('s', ifn._(read._('s'))._(jump._(Zero))._(save)._('s'))); |
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const prev: L<(t: State) => State> |
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= second(first(first(pred))); |
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const endwhl = g('endwhl', l('s', ifn._(read._('s'))._(reset)._(pipe._(save)._(restore))._('s'))); |
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const jump: L<(d: Num) => L<(s: State) => State>> |
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= _(d => _(s => |
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iif(command(_c('['))(s))(jump(succ(d))) |
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(iif(command(_c(']'))(s))(ifz(pred(d))(cnst(s))(jump(pred(d)))) |
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(jump(d)))(advance(s)))); |
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const exec = g('exec', l('s', iif._(done._('s'))._('s')._(r('bf::exec')._(advance |
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._(iif._(command._(_c('>'))._('s'))._(next) |
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._(iif._(command._(_c('<'))._('s'))._(prev) |
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._(iif._(command._(_c('+'))._('s'))._(inc) |
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._(iif._(command._(_c('-'))._('s'))._(dec) |
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._(iif._(command._(_c('.'))._('s'))._(output) |
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._(iif._(command._(_c(','))._('s'))._(input) |
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._(iif._(command._(_c('['))._('s'))._(whlnz) |
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._(iif._(command._(_c(']'))._('s'))._(endwhl) |
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._(id))))))))._('s')))))); |
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const whlnz: L<(t: State) => State> |
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= _(s => ifn(read(s))(jump(Zero))(save)(s)); |
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const endwhl: L<(t: State) => State> |
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= _(s => ifn(read(s))(reset)(pipe(save)(restore))(s)); |
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const exec: L<(s: State) => State> |
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= _(s => iif<State>(done(s))(s)(exec(advance |
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(iif(command(_c('>'))(s))(next) |
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(iif(command(_c('<'))(s))(prev) |
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(iif(command(_c('+'))(s))(inc) |
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(iif(command(_c('-'))(s))(dec) |
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(iif(command(_c('.'))(s))(output) |
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(iif(command(_c(','))(s))(input) |
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(iif(command(_c('['))(s))(whlnz) |
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(iif(command(_c(']'))(s))(endwhl) |
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(id))))))))(s))))); |
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export const run: L<(p: String) => L<(i: String) => String>> |
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= _(p => _(i => snd(snd(snd(exec(Pair(Pair(singleton(Zero))(p))(Pair(Pair(Zero)(repeat(x00)))(Pair(i)(Empty))))))))); |
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export const run = g('run', l('p', l('i', snd._(snd._(snd._(exec._(Pair._(Pair._(singleton._(Zero))._('p'))._(Pair._(Pair._(Zero)._(repeat._(x00)))._(Pair._('i')._(Empty)))))))))); |
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@ -0,0 +1,7 @@ |
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import { m, g, l } from './core'; |
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import { iif } from './bool'; |
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import { fromString as _s } from './string'; |
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m('bool.show'); |
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export const show = g('show', l('b', iif._('b')._(_s('True'))._(_s('False')))); |
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@ -1,53 +1,34 @@ |
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import { toNative as $$, L, _, fromNative as __, id, pipe } from './core'; |
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import { EQ, GT, LT, Ord } from './ord'; |
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import { String, fromString as _s } from './string'; |
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import { $, Term, _, c, g, id, l, m, pipe } from './core'; |
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import { EQ, GT, LT } from './ord'; |
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export type Bool = L<<T extends L>(t: T) => L<(f: T) => T>>; |
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m('bool'); |
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export const True: Bool |
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= _(t => _(_f => t)) as Bool; |
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export const True = g('True', l('t', l('_', 't'))); |
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export const False: Bool |
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= _(_t => _(f => f)); |
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export const False = g('False', l('_', l('f', 'f'))); |
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export const iif: L<<T extends L>(b: Bool) => L<(t: T) => L<(f: T) => T>>> |
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= id; |
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export const iif = g('iif', id); |
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export const not: L<(b: Bool) => Bool> |
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= _(b => b(False)(True)); |
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export const not = g('not', l('b', c('b', False, True))); |
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export const cmp: L<(l: Bool) => L<(r: Bool) => Ord>> |
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= _(l => _(r => l(r(EQ)(GT))(r(LT)(EQ)))); |
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export const cmp = g('cmp', l('l', l('r', c('l', c('r', EQ, GT), c('r', LT, EQ))))); |
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export const lt: L<(l: Bool) => L<(r: Bool) => Bool>> |
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= _(l => l(False)); |
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export const lt = g('lt', l('l', c('l', False))); |
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export const le: L<(l: Bool) => L<(r: Bool) => Bool>> |
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= _(l => not(l)(True)); |
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export const le = g('le', l('l', not._('l')._(True))); |
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export const eq: L<(l: Bool) => L<(r: Bool) => Bool>> |
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= _(l => _(r => l(r)(not(r)))); |
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export const eq = g('eq', l('l', l('r', c('l', 'r', not._('r'))))); |
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export const ge: L<(l: Bool) => L<(r: Bool) => Bool>> |
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= _(l => pipe(not)(lt(l))); |
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export const ge = g('ge', l('l', pipe._(not)._(lt._('l')))); |
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export const gt: L<(l: Bool) => L<(r: Bool) => Bool>> |
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= _(l => pipe(not)(le(l))); |
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export const gt = g('gt', l('l', pipe._(not)._(le._('l')))); |
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export const and: L<(l: Bool) => L<(r: Bool) => Bool>> |
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= _(l => not(l)(False)); |
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export const and = g('and', l('l', not._('l')._(False))); |
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export const or: L<(l: Bool) => L<(r: Bool) => Bool>> |
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= _(l => l(True)); |
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export const or = g('or', l('l', c('l', True))); |
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export const xor: L<(l: Bool) => L<(r: Bool) => Bool>> |
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= _(l => _(r => l(not(r))(r))); |
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export const xor = g('xor', l('l', l('r', c('l', not._('r'), 'r')))); |
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export const show: L<(b: Bool) => String> |
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= _(b => iif(b)(_s('True'))(_s('False'))); |
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export const fromBoolean: (b: boolean) => Term = b => b ? True : False; |
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export const fromBoolean: (b: boolean) => Bool |
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= b => b ? True : False; |
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export const toBoolean: (b: Bool) => boolean |
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= b => $$(b(__(true))(__(false))); |
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export const toBoolean: (b: Term) => boolean = b => $(b._(_(true))._(_(false)).reduce()); |
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@ -0,0 +1,5 @@ |
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import { m } from './core'; |
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m('byte.show'); |
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export { show } from './num.show'; |
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@ -1,34 +1,25 @@ |
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import { L, _, id } from './core'; |
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import { Term, _, g, id, l, m, r } from './core'; |
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import { iif } from './bool'; |
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import { Num, Succ, Zero, fromNumber as _n, eq } from './num'; |
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import { Succ, Zero, fromNumber as _n, eq } from './num'; |
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export type Byte = Num; |
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m('byte'); |
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export const x00: Byte |
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= Zero; |
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export const x00 = g('x00', Zero); |
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export const xFF: Num |
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= _n(255); |
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export const xFF = g('xFF', _n(255)); |
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export const Inc: L<(p: Byte) => Byte> |
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= _(p => iif(eq(xFF)(p))(x00)(Succ(p))); |
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export const Inc = g('Inc', l('p', iif._(eq._(xFF)._('p'))._(x00)._(Succ._('p')))); |
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export { ifz, cmp, lt, le, eq, ge, gt, even, odd, div, mod, show, toNumber } from './num'; |
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export { ifz, cmp, lt, le, eq, ge, gt, even, odd, div, mod, toNumber } from './num'; |
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export const inc: L<(n: Byte) => Byte> |
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= Inc; |
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export const inc = g('inc', Inc); |
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export const dec: L<(n: Byte) => Byte> |
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= _(n => n(xFF)(id)); |
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export const dec = g('dec', l('n', r('n')._(xFF)._(id))); |
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export const sum: L<(l: Byte) => L<(r: Byte) => Byte>> |
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= _(l => _(r => r(l)(sum(inc(l))))); |
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export const sum = g('sum', l('l', l('r', r('r')._('l')._(r('byte::sum')._(inc._('l')))))); |
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export const sub: L<(l: Byte) => L<(r: Byte) => Byte>> |
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= _(l => _(r => r(l)(sub(dec(l))))); |
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export const sub = g('sub', l('l', l('r', r('r')._('l')._(r('byte::sub')._(dec._('l')))))); |
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export const mul: L<(l: Byte) => L<(r: Byte) => Byte>> |
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= _(l => _(r => l(x00)(_(pl => sum(r)(mul(pl)(r)))))); |
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export const mul = g('mul', l('l', l('r', r('l')._(x00)._(l('pl', sum._('r')._(r('byte::mul')._('pl')._('r'))))))); |
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export const fromNumber: (n: number) => Byte |
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= n => _n(n % 256); |
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export const fromNumber: (n: number) => Term = n => _n(n % 256); |
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@ -0,0 +1,7 @@ |
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import { g, l, m, pipe } from './core'; |
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import { singleton } from './list'; |
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import { wrap, fromString as _s } from './string'; |
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m('char.show'); |
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export const show = g('show', l('c', pipe._(wrap._(_s('\'')))._(singleton)._('c'))); |
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@ -1,20 +1,13 @@ |
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import { L, _, pipe } from './core'; |
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import { toNumber as $n, Byte, fromNumber as _n, x00 } from './byte'; |
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import { Term, g, l, m, pipe } from './core'; |
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import { toNumber as $n, fromNumber as _n, x00 } from './byte'; |
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import { singleton } from './list'; |
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import { String, fromString as _s, wrap } from './string'; |
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export type Char = Byte; |
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m('char'); |
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export const Null: Char |
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= x00; |
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export const Null = g('Null', x00); |
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export { inc, dec, ifz as ifn, cmp, lt, le, eq, ge, gt } from './byte'; |
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export const show: L<(c: Char) => String> |
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= _(c => pipe(wrap(_s('\'')))(singleton)(c)); |
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export const fromChar: (c: string) => Term = c => _n(c.charCodeAt(0)); |
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export const fromChar: (c: string) => Char |
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= c => _n(c.charCodeAt(0)); |
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export const toChar: (c: Char) => string |
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= c => String.fromCharCode($n(c)); |
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export const toChar: (c: Term) => string = c => String.fromCharCode($n(c)); |
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type F = (v: L) => L<any>; |
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import { withLog } from './debug'; |
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export type L<T extends F = F> = T & { run: () => T }; |
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let index = 0; |
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const defer: <T extends F>(run: () => T) => L<T> = <T extends F>(run: () => T) => |
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Object.assign(((p: Parameters<T>[0]): ReturnType<T> => { |
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let v: F; |
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return defer(() => run()(defer(() => v ??= p.run())).run()); |
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}) as T, { run }); |
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export abstract class Term { |
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protected id = index++; |
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protected cache: Term | null = null; |
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export const _ = <T extends F>(v: T): L<T> => defer(() => v); |
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public constructor(protected bindings: Record<string, Term>) { } |
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export const fromNative: <T>(v: T) => L<any> |
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= v => defer(() => v as any); |
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export const toNative: <T>(v: L<any>) => T |
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= <T>(v: L<any>) => v.run() as T; |
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public refs(_name: string): boolean { |
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return false; |
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}; |
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export const y = (f: () => L<F>) => defer(() => f().run()); |
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public bind(_name: string, _term: Term): Term { |
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return this; |
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} |
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export const undef: any = defer(() => { throw new Error('undefined'); }); |
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public reduce(): Term { |
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return this; |
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} |
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export const id: L<<T extends L>(v: T) => T> |
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= _(v => v); |
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export const cnst: L<<T extends L>(v: T) => L<(_: unknown) => T>> |
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= _(v => _(_ => v)) as L<<T extends L>(v: T) => L<(_: unknown) => T>>; |
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export const pipe: L<<A extends L, B extends L, C extends L>(f: L<(v: B) => C>) => L<(g: L<(v: A) => B>) => L<(v: A) => C>>> |
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= _(<A extends L, B extends L, C extends L>(f: L<(v: B) => C>) => |
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_((g: L<(v: A) => B>) => |
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_((v: A) => f(g(v))))); |
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public context(): string { |
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return !Object.keys(this.bindings).length ? `<${this.id}>` : `<${this.id}>[bound ${Object.keys(this.bindings).join(', ')}] `; |
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} |
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|
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public stringify(context?: boolean): string { |
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return `${context ? this.context() : ''}${this.constructor.name}`; |
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} |
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|
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public _(arg: RefTerm): Term { |
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return c(this, arg); |
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} |
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} |
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export class Undef extends Term { |
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constructor( |
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public from: string, |
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) { super({}); } |
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|
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override reduce(): Term { |
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throw new Error(`${this.from} = undef`); |
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} |
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} |
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|
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export class Native extends Term { |
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constructor( |
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public value: any, |
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) { super({}); } |
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|
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public override stringify(): string { |
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return `\`${JSON.stringify(this.value)}\``; |
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} |
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} |
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|
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export class Deferred extends Term { |
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constructor( |
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public func: (bindings: Record<string, Term>) => Term, |
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bindings: Record<string, Term> = {}, |
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) { super(bindings); } |
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|
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override refs(_name: string): boolean { |
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return true; |
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} |
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|
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public override bind(name: string, term: Term): Term { |
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return this.bindings[name] || !this.refs(name) |
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? this |
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: new Deferred(this.func, { ...this.bindings, [name]: term }); |
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} |
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|
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public override reduce(): Term { |
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const term = this.cache |
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? withLog( |
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`Executing ${this.stringify()}`, |
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() => this.cache!, |
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r => `got ${r.stringify()} (cached)`, |
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) |
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: this.cache = withLog( |
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`Executing ${this.stringify()}`, |
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() => this.func({ ...globals, ...this.bindings }), |
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r => `got ${r.stringify()}`, |
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); |
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return Object.entries(this.bindings).reduce((t, b) => t.bind(...b), term).reduce(); |
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} |
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|
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public override stringify(context: boolean = true): string { |
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return `${context ? this.context() : ''}\`deferred\``; |
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} |
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} |
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|
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export class Ref extends Term { |
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constructor( |
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public name: string, |
||||
bindings: Record<string, Term> = {}, |
||||
) { super(bindings); } |
||||
|
||||
override refs(name: string): boolean { |
||||
return this.name === name; |
||||
} |
||||
|
||||
public override bind(name: string, term: Term): Term { |
||||
return this.bindings[name] || !this.refs(name) |
||||
? this |
||||
: new Ref(this.name, { [name]: term }); |
||||
} |
||||
|
||||
public override reduce(): Term { |
||||
if (this.cache) { |
||||
return withLog( |
||||
`Substituting ${this.stringify()}`, |
||||
() => this.cache!, |
||||
r => `with ${r.stringify()} (cached)`, |
||||
); |
||||
} else { |
||||
return this.cache = withLog( |
||||
`Substituting ${this.stringify()}`, |
||||
() => (this.bindings[this.name] ?? globals[this.name] ?? new Undef(this.name)).reduce(), |
||||
r => `with ${r.stringify()}`, |
||||
).reduce(); |
||||
} |
||||
} |
||||
|
||||
public override stringify(context = true): string { |
||||
return `${context ? this.context() : ''}${this.name}`; |
||||
} |
||||
} |
||||
|
||||
export class Lambda extends Term { |
||||
constructor( |
||||
public param: string, |
||||
public body: Term, |
||||
bindings: Record<string, Term> = {}, |
||||
) { super(bindings); } |
||||
|
||||
override refs(name: string): boolean { |
||||
return this.param !== name && this.body.refs(name); |
||||
} |
||||
|
||||
override bind(name: string, term: Term): Term { |
||||
return this.bindings[name] || !this.refs(name) |
||||
? this |
||||
: new Lambda(this.param, this.body.bind(name, term), { ...this.bindings, [name]: term }); |
||||
} |
||||
|
||||
public override stringify(context = true): string { |
||||
return this.body instanceof Lambda |
||||
? `${context ? this.context() : ''}\\ ${this.param} ${this.body.stringify(false).slice(2)}` |
||||
: `${context ? this.context() : ''}\\ ${this.param} . ${this.body.stringify(false)}`; |
||||
} |
||||
} |
||||
|
||||
export class Call extends Term { |
||||
constructor( |
||||
public func: Term, |
||||
public arg: Term, |
||||
bindings: Record<string, Term> = {}, |
||||
) { super(bindings); } |
||||
|
||||
override refs(name: string): boolean { |
||||
return this.func.refs(name) || this.arg.refs(name); |
||||
} |
||||
|
||||
override bind(name: string, term: Term): Term { |
||||
return this.bindings[name] || !this.refs(name) |
||||
? this |
||||
: new Call(this.func.bind(name, term), this.arg.bind(name, term), { ...this.bindings, [name]: term }); |
||||
} |
||||
|
||||
override reduce(): Term { |
||||
if (this.cache) { |
||||
return withLog( |
||||
`Reducing ${this.stringify()}`, |
||||
() => this.cache!, |
||||
r => `to ${r.stringify()} (cached)`, |
||||
); |
||||
} else { |
||||
return this.cache = withLog( |
||||
`Reducing ${this.stringify()}`, |
||||
() => { |
||||
const func = this.func.reduce(); |
||||
if (func instanceof Lambda) { |
||||
return withLog( |
||||
`Applying ${func.stringify()} to ${this.arg.stringify()}`, |
||||
() => func.body.bind(func.param, this.arg), |
||||
r => `got ${r.stringify()}`, |
||||
).reduce(); |
||||
} |
||||
return this; |
||||
}, |
||||
r => `to ${r.stringify()}`, |
||||
); |
||||
} |
||||
} |
||||
|
||||
public override stringify(context = true): string { |
||||
return `${context ? this.context() : ''}${this.func instanceof Lambda ? `(${this.func.stringify(false)})` : this.func.stringify(false)} ${this.arg instanceof Ref || this.arg instanceof Native ? this.arg.stringify(false) : `(${this.arg.stringify(false)})`}`; |
||||
} |
||||
} |
||||
|
||||
const globals: Record<string, Term> = {}; |
||||
|
||||
type RefTerm = string | Term; |
||||
|
||||
const termify = (t: RefTerm) => typeof t === 'string' ? r(t) : t; |
||||
|
||||
export const _ = (v: any) => new Native(v); |
||||
export const r = (name: string): Ref => new Ref(name); |
||||
export const l = (param: string, body: RefTerm): Lambda => new Lambda(param, termify(body)); |
||||
export const c = (func: RefTerm, arg: RefTerm, ...args: RefTerm[]): Call => |
||||
args.reduce<Call>((f: Call, a: RefTerm) => new Call(f, termify(a)), new Call(termify(func), termify(arg))); |
||||
export const d = (func: (bindings: Record<string, Term>) => Term) => new Deferred(func); |
||||
|
||||
export const $ = <T>(t: Term): T => { |
||||
const rt = t.reduce(); |
||||
return rt instanceof Native ? rt.value : rt.stringify(); |
||||
}; |
||||
|
||||
let cm: string = 'core'; |
||||
|
||||
export const m = (name: string) => cm = name; |
||||
|
||||
export const g = (name: string, term: RefTerm) => { |
||||
name = `${cm}::${name}`; |
||||
if (globals[name]) { |
||||
throw new Error(`Duplicate global: "${name}"`); |
||||
} |
||||
globals[name] = termify(term); |
||||
return new Ref(name); |
||||
}; |
||||
|
||||
export const undef = g('undef', new Undef('undef')); |
||||
|
||||
export const id = g('id', l('f', 'f')); |
||||
export const cnst = g('cnst', l('x', l('_', 'x'))); |
||||
export const pipe = g('pipe', l('f', l('g', l('x', c('f', c('g', 'x')))))); |
||||
|
||||
@ -1,8 +1,30 @@ |
||||
import { L, _ } from './core'; |
||||
import { String, toString } from './string'; |
||||
|
||||
export const log: L<<T extends L>(s: String) => L<(p: T) => T>> |
||||
= _(s => _(p => { |
||||
console.log(toString(s)); |
||||
return p; |
||||
})); |
||||
let indent: string = ''; |
||||
const logs: string[] = []; |
||||
|
||||
let logging: boolean = false; |
||||
export function log(): void { |
||||
logging = true; |
||||
} |
||||
|
||||
export function withLog<T>(before: string, f: () => T, after: (v: T) => string): T { |
||||
if (!logging) { |
||||
return f(); |
||||
} |
||||
|
||||
logs.push(`${indent}${before}`); |
||||
const l = logs.length; |
||||
indent += ' '; |
||||
const result = f(); |
||||
indent = indent.slice(2); |
||||
if (logs.length === l) { |
||||
logs[logs.length - 1] += ` ${after(result)}`; |
||||
} else { |
||||
logs.push(`${indent}${after(result)}`); |
||||
} |
||||
return result; |
||||
} |
||||
|
||||
export function dump() { |
||||
console.log('\n\nExecution log:'); |
||||
console.log(logs.join('\n')); |
||||
} |
||||
|
||||
@ -1,7 +1,14 @@ |
||||
import { _, fromNative as __ } from './core'; |
||||
import { toString as $s, fromString as _s } from './string'; |
||||
import { run } from './bf'; |
||||
import { dump, log } from './debug'; |
||||
import { _ } from './core'; |
||||
import { fromNumber, toNumber } from './num'; |
||||
import { Cons, Nil, toArray } from './list'; |
||||
|
||||
console.log($s(run |
||||
(_s('++++++++[>++++[>++>+++>+++>+<<<<-]>+>+>->>+[<]<-]>>.>---.+++++++..+++.>>.<-.<.+++.------.--------.>>+.>++.')) |
||||
(_s('')))); |
||||
log(); |
||||
|
||||
const program = Cons._(fromNumber(0))._(Nil); |
||||
|
||||
try { |
||||
console.log(program.stringify(), ' -> ', toArray(program).map(toNumber)); |
||||
} finally { |
||||
dump(); |
||||
} |
||||
|
||||
@ -0,0 +1,7 @@ |
||||
import { _, g, l, m } from './core'; |
||||
import { concat, intersperse, map } from './list'; |
||||
import { fromString as _s, cons, snoc } from './string'; |
||||
|
||||
m('list.show'); |
||||
|
||||
export const show = g('show', l('eshow', l('xs', concat._(snoc._(cons._(_s('['))._(intersperse._(_s(', '))._(map._('eshow')._('xs'))))._(_s(']')))))); |
||||
@ -1,144 +1,72 @@ |
||||
import { toNative as $$, L, _, fromNative as __, cnst, id, pipe, undef, y } from './core'; |
||||
import { EQ, GT, LT, Ord, eq as eqc } from './ord'; |
||||
import { Bool, False, True, and, iif, or } from './bool'; |
||||
import { Num, Zero, succ } from './num'; |
||||
import { String, fromString as _s } from './string'; |
||||
|
||||
export type List<T extends L> = L<<R extends L>(z: R) => L<(f: L<(x: T) => L<(xs: List<T>) => R>>) => R>>; |
||||
|
||||
export const Nil: List<any> |
||||
= _(z => _(_f => z)) as List<any>; |
||||
|
||||
export const Cons: L<<T extends L>(x: T) => L<(xs: List<T>) => List<T>>> |
||||
= _(<T extends L>(x: T) => _((xs: List<T>) => _(_z => _(f => f(x)(xs))) as List<T>)); |
||||
|
||||
export const cons: L<<T extends L>(x: T) => L<(xs: List<T>) => List<T>>> |
||||
= Cons; |
||||
|
||||
export const snoc: L<<T extends L>(xs: List<T>) => L<(x: T) => List<T>>> |
||||
= _(<T extends L>(xs: List<T>) => |
||||
_((x: T) => xs(cons(x)(Nil))(_(y => _(ys => cons(y)(snoc(ys)(x))))))); |
||||
|
||||
export const nul: L<<T extends L>(xs: List<T>) => Bool> |
||||
= _(xs => xs(True)(cnst(cnst(False)))); |
||||
|
||||
export const len: L<<T extends L>(xs: List<T>) => Num> |
||||
= _(xs => xs(Zero)(cnst(pipe(succ)(len)))); |
||||
|
||||
export const singleton: L<<T extends L>(v: T) => List<T>> |
||||
= _(x => cons(x)(Nil)); |
||||
|
||||
export const append: L<<T extends L>(l: List<T>) => L<(r: List<T>) => List<T>>> |
||||
= _(l => _(r => l(r)(_(x => _(xs => cons(x)(append(xs)(r))))))); |
||||
|
||||
export const concat: L<<T extends L>(ls: List<List<T>>) => List<T>> |
||||
= _(ls => ls(Nil)(_(x => pipe(append(x))(concat)))); |
||||
|
||||
export const repeat: L<<T extends L>(x: T) => List<T>> |
||||
= _(x => cons(x)(repeat(x))); |
||||
import { $, Term, _, cnst, d, g, id, l, m, pipe, r, undef } from './core'; |
||||
import { EQ, GT, LT, eq as eqc } from './ord'; |
||||
import { False, True, and, iif, or } from './bool'; |
||||
import { Zero, succ } from './num'; |
||||
|
||||
export const iterate: L<<T extends L>(f: L<(x: T) => T>) => L<(x: T) => List<T>>> |
||||
= _(<T extends L>(f: L<(x: T) => T>) => _((x: T) => cons(x)(iterate(f)(f(x))))); |
||||
m('list'); |
||||
|
||||
export const head: L<<T extends L>(xs: List<T>) => T> |
||||
= _(xs => xs(undef)(cnst)); |
||||
|
||||
export const tail: L<<T extends L>(xs: List<T>) => List<T>> |
||||
= _(xs => xs(undef)(cnst(id))); |
||||
|
||||
export const foldl: L<<T extends L, R extends L>(f: L<(a: R) => L<(x: T) => R>>) => L<(z: R) => L<(xs: List<T>) => R>>> |
||||
= _(<T extends L, R extends L>(f: L<(a: R) => L<(x: T) => R>>) => |
||||
_((z: R) => |
||||
_((xs: List<T>) => xs(z)(pipe(foldl(f))(f(z)))))); |
||||
|
||||
export const foldlz: L<<T extends L>(f: L<(a: T) => L<(x: T) => T>>) => L<(xs: List<T>) => T>> |
||||
= _(<T extends L>(f: L<(a: T) => L<(x: T) => T>>) => _((xs: List<T>) => xs(undef)(foldl(f)))); |
||||
|
||||
export const foldr: L<<T extends L, R extends L>(f: L<(x: T) => L<(a: R) => R>>) => L<(z: R) => L<(xs: List<T>) => R>>> |
||||
= _(<T extends L, R extends L>(f: L<(x: T) => L<(a: R) => R>>) => |
||||
_((z: R) => |
||||
_((xs: List<T>) => xs(z)(_(x => pipe(f(x))(foldr(f)(z))))))); |
||||
|
||||
export const foldrz: L<<T extends L>(f: L<(x: T) => L<(a: T) => T>>) => L<(xs: List<T>) => T>> |
||||
= undef; |
||||
|
||||
export const cmp: L<<T extends L>(ecmp: L<(l: T) => L <(r: T) => Ord>>) => L<(l: List<T>) => L<(r: List<T>) => Ord>>> |
||||
= _(<T extends L>(ecmp: L<(l: T) => L<(r: T) => Ord>>) => |
||||
_((l: List<T>) => |
||||
_((r: List<T>) => l |
||||
(r(EQ)(cnst(cnst(LT)))) |
||||
(_(lx => _(lxs => r(GT)(_(rx => _(rxs => iif |
||||
(eqc(EQ)(ecmp(lx)(rx))) |
||||
(cmp(ecmp)(lxs)(rxs)) |
||||
(ecmp(lx)(rx))))))))))); |
||||
|
||||
export const lt: L<<T extends L>(ecmp: L<(l: T) => L <(r: T) => Ord>>) => L<(l: List<T>) => L<(r: List<T>) => Bool>>> |
||||
= _(<T extends L>(ecmp: L<(l: T) => L<(r: T) => Ord>>) => |
||||
_((l: List<T>) => |
||||
_((r: List<T>) => |
||||
r(False)(_(rx => _(rxs => l(True)(_(lx => _(lxs => ecmp(lx)(rx)(True)(lt(ecmp)(lxs)(rxs))(False)))))))))); |
||||
|
||||
export const le: L<<T extends L>(ecmp: L<(l: T) => L <(r: T) => Ord>>) => L<(l: List<T>) => L<(r: List<T>) => Bool>>> |
||||
= _(<T extends L>(ecmp: L<(l: T) => L<(r: T) => Ord>>) => |
||||
_((l: List<T>) => |
||||
_((r: List<T>) => |
||||
l(True)(_(lx => _(lxs => r(False)(_(rx => _(rxs => ecmp(lx)(rx)(True)(le(ecmp)(lxs)(rxs))(False)))))))))); |
||||
|
||||
export const eq: L<<T extends L>(eeq: L<(l: T) => L <(r: T) => Bool>>) => L<(l: List<T>) => L<(r: List<T>) => Bool>>> |
||||
= _(<T extends L>(eeq: L<(l: T) => L<(r: T) => Bool>>) => |
||||
_((l: List<T>) => |
||||
_((r: List<T>) => l |
||||
(r(True)(cnst(cnst(False)))) |
||||
(_(lx => _(lxs => r(False)(_(rx => _(rxs => and(eeq(lx)(rx))(eq(eeq)(lxs)(rxs))))))))))); |
||||
|
||||
export const ge: L<<T extends L>(ecmp: L<(l: T) => L <(r: T) => Ord>>) => L<(l: List<T>) => L<(r: List<T>) => Bool>>> |
||||
= _(<T extends L>(ecmp: L<(l: T) => L<(r: T) => Ord>>) => |
||||
_((l: List<T>) => |
||||
_((r: List<T>) => |
||||
r(True)(_(rx => _(rxs => l(False)(_(lx => _(lxs => ecmp(lx)(rx)(False)(ge(ecmp)(lxs)(rxs))(True)))))))))); |
||||
|
||||
export const gt: L<<T extends L>(ecmp: L<(l: T) => L <(r: T) => Ord>>) => L<(l: List<T>) => L<(r: List<T>) => Bool>>> |
||||
= _(<T extends L>(ecmp: L<(l: T) => L<(r: T) => Ord>>) => |
||||
_((l: List<T>) => |
||||
_((r: List<T>) => |
||||
l(False)(_(lx => _(lxs => r(True)(_(rx => _(rxs => ecmp(lx)(rx)(False)(gt(ecmp)(lxs)(rxs))(True)))))))))); |
||||
export const Nil = g('Nil', l('z', l('_', 'z'))); |
||||
|
||||
export const map: L<<T extends L, R extends L>(f: L<(x: T) => R>) => L<(xs: List<T>) => List<R>>> |
||||
= _(<T extends L, R extends L>(f: L<(x: T) => R>) => |
||||
_((xs: List<T>) => xs(Nil)(_(x => pipe(cons(f(x)))(map(f)))))); |
||||
|
||||
export const filter: L<<T extends L>(f: L<(x: T) => Bool>) => L<(xs: List<T>) => List<T>>> |
||||
= _(<T extends L>(f: L<(x: T) => Bool>) => |
||||
_((xs: List<T>) => xs(Nil)(_(x => pipe(iif(f(x))(cons(x))(id))(filter(f)))))); |
||||
|
||||
export const any: L<<T extends L>(f: L<(x: T) => Bool>) => L<(xs: List<T>) => Bool>> |
||||
= _(<T extends L>(f: L<(x: T) => Bool>) => |
||||
_((xs: List<T>) => xs(False)(_(x => pipe(or(f(x)))(any(f)))))); |
||||
|
||||
export const all: L<<T extends L>(f: L<(x: T) => Bool>) => L<(xs: List<T>) => Bool>> |
||||
= _(<T extends L>(f: L<(x: T) => Bool>) => |
||||
_((xs: List<T>) => xs(True)(_(x => pipe(and(f(x)))(all(f)))))); |
||||
|
||||
export const get: L<<T extends L>(i: Num) => L<(xs: List<T>) => T>> |
||||
= _(i => _(xs => xs(undef)(_(x => i(cnst(x))(get))))); |
||||
|
||||
export const update: L<<T extends L>(f: L< (p: T) => T>) => L<(i: Num) => L<(xs: List<T>) => List<T>>>> |
||||
= _(<T extends L>(f: L< (p: T) => T>) => |
||||
_((i: Num) => |
||||
_((xs: List<T>) => |
||||
xs(undef)(_(x => _(xs => i(cons(f(x))(xs))(_(pi => cons(x)(update(f)(pi)(xs)))))))))); |
||||
|
||||
export const set: L<<T extends L>(v: T) => L<(i: Num) => L<(xs: List<T>) => List<T>>>> |
||||
= pipe(update)(cnst); |
||||
|
||||
export const intersperse: L<<T extends L>(v: T) => L<(xs: List<T>) => List<T>>> |
||||
= _(v => _(xs => xs(xs)(_(x => _(rxs => rxs(xs)(cnst(cnst(cons(x)(cons(v)(intersperse(v)(rxs))))))))))); |
||||
|
||||
export const show: L<<T extends L>(eshow: L<(e: T) => String>) => L<(xs: List<T>) => String>> |
||||
= _(eshow => _(xs => concat(snoc(cons(_s('['))(intersperse(_s(', '))(map(eshow)(xs))))(_s(']'))))); |
||||
|
||||
export const fromArray: <T extends L>(xs: T[]) => List<T> |
||||
= xs => xs.length === 0 ? Nil : cons(xs[0])(y(() => fromArray(xs.slice(1)))); |
||||
|
||||
export const toArray: <T extends L>(xs: List<T>) => L[] |
||||
= xs => $$(xs(__([]))(_(x => _(xs => __([x, ...toArray(xs)]))))); |
||||
export const Cons = g('Cons', l('x', l('xs', l('_', l('f', r('f')._('x')._('xs')))))); |
||||
|
||||
export const cons = g('cons', Cons); |
||||
|
||||
export const snoc = g('snoc', l('xs', l('x', r('xs')._(cons._('x')._(Nil))._(l('y', l('ys', cons._('y')._(r('list::snoc')._('ys')._('x')))))))); |
||||
|
||||
export const nul = g('nul', l('xs', r('xs')._(True)._(cnst._(cnst._(False))))); |
||||
|
||||
export const len = g('len', l('xs', r('xs')._(Zero)._(cnst._(pipe._(succ)._(r('list::len')))))); |
||||
|
||||
export const singleton = g('singleton', l('x', cons._('x')._(Nil))); |
||||
|
||||
export const append = g('append', l('l', l('r', r('l')._('r')._(l('x', l('xs', cons._('x')._(r('list::append')._('xs')._('r')))))))); |
||||
|
||||
export const concat = g('concat', l('ls', r('ls')._(Nil)._(l('x', pipe._(append._('x'))._(r('list::concat')))))); |
||||
|
||||
export const repeat = g('repeat', l('x', cons._('x')._(r('list::repeat')._('x')))); |
||||
|
||||
export const iterate = g('iterate', l('f', l('x', cons._('x')._(r('list::iterate')._('f')._(r('f')._('x')))))); |
||||
|
||||
export const head = g('head', l('xs', r('xs')._(undef)._(cnst))); |
||||
|
||||
export const tail = g('tail', l('xs', r('xs')._(undef)._(cnst._(id)))); |
||||
|
||||
export const foldl = g('foldl', l('f', l('z', l('xs', r('xs')._('z')._(pipe._(r('list::foldl')._('f'))._(r('f')._('z'))))))); |
||||
|
||||
export const foldlz = g('foldlz', l('f', l('xs', r('xs')._(undef)._(foldl._('f'))))); |
||||
|
||||
export const foldr = g('foldr', l('f', l('z', l('xs', r('xs')._('z')._(l('x', pipe._(r('f')._('x'))._(r('list::foldr')._('f')._('z')))))))); |
||||
|
||||
export const foldrz = g('foldrz', undef); |
||||
|
||||
export const cmp = g('cmp', l('ecmp', l('l', l('r', r('l')._(r('r')._(EQ)._(cnst._(cnst._(LT))))._(l('lx', l('lxs', r('r')._(GT)._(l('rx', l('rxs', iif._(eqc._(EQ)._(r('ecmp')._('lx')._('rx')))._(r('list::cmp')._('ecmp')._('lxs')._('rxs'))._(r('ecmp')._('lx')._('rx')))))))))))); |
||||
|
||||
export const lt = g('lt', l('ecmp', l('l', l('r', r('r')._(False)._(l('rx', l('rxs', r('l')._(True)._(l('lx', l('lxs', r('ecmp')._('lx')._('rx')._(True)._(r('list::lt')._('ecmp')._('lxs')._('rxs'))._(False))))))))))); |
||||
|
||||
export const le = g('le', l('ecmp', l('l', l('r', r('l')._(True)._(l('lx', l('lxs', r('r')._(False)._(l('rx', l('rxs', r('ecmp')._('lx')._('rx')._(True)._(r('list::le')._('ecmp')._('lxs')._('rxs'))._(False))))))))))); |
||||
|
||||
export const eq = g('eq', l('eeq', l('l', l('r', r('l')._(r('r')._(True)._(cnst._(cnst._(False))))._(l('lx', l('lxs', r('r')._(False)._(l('rx', l('rxs', and._(r('eeq')._('lx')._('rx'))._(r('list::eq')._('eeq')._('lxs')._('rxs')))))))))))); |
||||
|
||||
export const ge = g('ge', l('ecmp', l('l', l('r', r('r')._(True)._(l('rx', l('rxs', r('l')._(False)._(l('lx', l('lxs', r('ecmp')._('lx')._('rx')._(False)._(r('list::ge')._('ecmp')._('lxs')._('rxs'))._(True))))))))))); |
||||
|
||||
export const gt = g('gt', l('ecmp', l('l', l('r', r('l')._(False)._(l('lx', l('lxs', r('r')._(True)._(l('rx', l('rxs', r('ecmp')._('lx')._('rx')._(False)._(r('list::gt')._('ecmp')._('lxs')._('rxs'))._(True))))))))))); |
||||
|
||||
export const map = g('map', l('f', l('xs', r('xs')._(Nil)._(l('x', pipe._(cons._(r('f')._('x')))._(r('list::map')._('f'))))))); |
||||
|
||||
export const filter = g('filter', l('f', l('xs', r('xs')._(Nil)._(l('x', pipe._(iif._(r('f')._('x'))._(cons._('x'))._(id))._(r('list::filter')._('f'))))))); |
||||
|
||||
export const any = g('any', l('f', l('xs', r('xs')._(False)._(l('x', pipe._(or._(r('f')._('x')))._(r('list::any')._('f'))))))); |
||||
|
||||
export const all = g('all', l('f', l('xs', r('xs')._(True)._(l('x', pipe._(and._(r('f')._('x')))._(r('list::all')._('f'))))))); |
||||
|
||||
export const get = g('get', l('i', l('xs', r('xs')._(undef)._(l('x', r('i')._(cnst._('x'))._('list::get')))))); |
||||
|
||||
export const update = g('update', l('f', l('i', l('xs', r('xs')._(undef)._(l('x', l('xs', r('i')._(cons._(r('f')._('x'))._('xs'))._(l('pi', cons._('x')._(r('list::update')._('f')._('pi')._('xs'))))))))))); |
||||
|
||||
export const set = g('set', pipe._(update)._(cnst)); |
||||
|
||||
export const intersperse = g('intersperse', l('v', l('xs', r('xs')._('xs')._(l('x', l('rxs', r('rxs')._('xs')._(cnst._(cnst._(cons._('x')._(cons._('v')._(r('list::intersperse')._('v')._('rxs')))))))))))); |
||||
|
||||
export const fromArray: (xs: Term[]) => Term = xs => !xs.length ? Nil : Cons._(xs[0])._(d(() => fromArray(xs.slice(1)))); |
||||
|
||||
export const toArray: (xs: Term) => Term[] = xs => $(xs._(_([]))._(l('x', l('xs', d(bs => _([bs['x'], ...toArray(bs['xs'])])))))); |
||||
|
||||
@ -0,0 +1,7 @@ |
||||
import { l, d } from './core'; |
||||
import { toString } from './string'; |
||||
|
||||
export const log = l('s', l('p', d(bs => { |
||||
console.log(toString(bs['s'])); |
||||
return bs['p']; |
||||
}))); |
||||
@ -0,0 +1,8 @@ |
||||
import { _, g, l, m, r } from './core'; |
||||
import { iif } from './bool'; |
||||
import { fromNumber as _n, sum, div, mod, lt } from './num'; |
||||
import { append, cons, Empty } from './string'; |
||||
|
||||
m('num.show'); |
||||
|
||||
export const show = g('show', l('n', iif._(lt._('n')._(_n(10)))._(cons._(sum._('n')._(_n(48)))._(Empty))._(append._(r('num.show::show')._(div._('n')._(_n(10))))._(r('num.show::show')._(mod._('n')._(_n(10))))))); |
||||
@ -1,71 +1,45 @@ |
||||
import { toNative as $$, L, _, fromNative as __, cnst, id, pipe, y } from './core'; |
||||
import { EQ, GT, LT, Ord } from './ord'; |
||||
import { Bool, False, True, iif } from './bool'; |
||||
import { Empty, String, append, cons } from './string'; |
||||
import { $, Term, _, cnst, d, g, id, l, m, pipe, r } from './core'; |
||||
import { EQ, GT, LT } from './ord'; |
||||
import { False, True, iif } from './bool'; |
||||
|
||||
export type Num = L<<T extends L>(z: T) => L<(n: L<(p: Num) => T>) => T>>; |
||||
m('num'); |
||||
|
||||
export const Zero: Num |
||||
= _(z => _(_n => z)) as Num; |
||||
export const Zero = g('Zero', l('z', l('_n', 'z'))); |
||||
|
||||
export const Succ: L<(p: Num) => Num> |
||||
= _(p => _(_z => _(n => n(p)))); |
||||
export const Succ = g('Succ', l('p', l('_z', l('n', r('n')._('p'))))); |
||||
|
||||
export const ifz: L<<T extends L>(n: Num) => L<(t: T) => L<(f: T) => T>>> |
||||
= _(n => _(t => _(f => n(t)(cnst(f))))); |
||||
export const ifz = g('ifz', l('n', l('t', l('f', r('n')._('t')._(cnst._('f')))))); |
||||
|
||||
export const succ: L<(n: Num) => Num> |
||||
= Succ; |
||||
export const succ = g('succ', Succ); |
||||
|
||||
export const pred: L<(n: Num) => Num> |
||||
= _(n => n(Zero)(id)); |
||||
export const pred = g('pred', l('n', r('n')._(Zero)._(id))); |
||||
|
||||
export const cmp: L<(l: Num) => L<(r: Num) => Ord>> |
||||
= _(l => _(r => l(r(EQ)(cnst(LT)))(pipe(r(GT))(cmp)))); |
||||
export const cmp = g('cmp', l('l', l('r', r('l')._(r('r')._(EQ)._(cnst._(LT)))._(pipe._(r('r')._(GT))._('num::cmp'))))); |
||||
|
||||
export const lt: L<(l: Num) => L<(r: Num) => Bool>> |
||||
= _(l => _(r => r(False)(l(cnst(True))(lt)))); |
||||
export const lt = g('lt', l('l', l('r', r('r')._(False)._(r('l')._(cnst._(True))._('num::lt'))))); |
||||
|
||||
export const le: L<(l: Num) => L<(r: Num) => Bool>> |
||||
= _(l => _(r => l(True)(r(cnst(False))(ge)))); |
||||
export const le = g('le', l('l', l('r', r('l')._(True)._(r('r')._(cnst._(False))._('num::ge'))))); |
||||
|
||||
export const eq: L<(l: Num) => L<(r: Num) => Bool>> |
||||
= _(l => _(r => l(r(True)(cnst(False)))(r(cnst(False))(eq)))); |
||||
export const eq = g('eq', l('l', l('r', r('l')._(r('r')._(True)._(cnst._(False)))._(r('r')._(cnst._(False))._('num::eq'))))); |
||||
|
||||
export const ge: L<(l: Num) => L<(r: Num) => Bool>> |
||||
= _(l => _(r => r(True)(l(cnst(False))(ge)))); |
||||
export const ge = g('ge', l('l', l('r', r('r')._(True)._(r('l')._(cnst._(False))._('num::ge'))))); |
||||
|
||||
export const gt: L<(l: Num) => L<(r: Num) => Bool>> |
||||
= _(l => _(r => l(False)(r(cnst(True))(lt)))); |
||||
export const gt = g('gt', l('l', l('r', r('l')._(False)._(r('r')._(cnst._(True))._(lt))))); |
||||
|
||||
export const even: L<(n: Num) => Bool> |
||||
= _(n => n(True)(odd)); |
||||
export const even = g('even', l('n', r('n')._(True)._('num::odd'))); |
||||
|
||||
export const odd: L<(n: Num) => Bool> |
||||
= _(n => n(False)(even)); |
||||
export const odd = g('odd', l('n', r('n')._(False)._('num::even'))); |
||||
|
||||
export const sum: L<(l: Num) => L<(r: Num) => Num>> |
||||
= _(l => _(r => r(l)(sum(Succ(l))))); |
||||
export const sum = g('sum', l('l', l('r', r('r')._('l')._(r('num::sum')._(Succ._('l')))))); |
||||
|
||||
export const sub: L<(l: Num) => L<(r: Num) => Num>> |
||||
= _(l => _(r => r(l)(l(cnst(Zero))(sub)))); |
||||
export const sub = g('sub', l('l', l('r', r('r')._('l')._(r('l')._(cnst._(Zero))._('num::sub'))))); |
||||
|
||||
export const mul: L<(l: Num) => L<(r: Num) => Num>> |
||||
= _(l => _(r => l(Zero)(_(pl => sum(r)(mul(pl)(r)))))); |
||||
export const mul = g('mul', l('l', l('r', r('l')._(Zero)._(l('pl', sum._('r')._(r('num::mul')._('pl')._('r'))))))); |
||||
|
||||
export const div: L<(l: Num) => L<(r: Num) => Num>> |
||||
= _(l => _(r => iif(lt(l)(r))(Zero)(succ(div(sub(l)(r))(r))))); |
||||
export const div = g('div', l('l', l('r', iif._(lt._('l')._('r'))._(Zero)._(succ._(r('num::div')._(sub._('l')._('r'))._('r')))))); |
||||
|
||||
export const mod: L<(l: Num) => L<(r: Num) => Num>> |
||||
= _(l => _(r => iif(lt(l)(r))(l)(mod(sub(l)(r))(r)))); |
||||
export const mod = g('mod', l('l', l('r', iif._(lt._('l')._('r'))._('l')._(r('num::mod')._(sub._('l')._('r'))._('r'))))); |
||||
|
||||
export const show: L<(n: Num) => String> |
||||
= _(n => iif(lt(n)(fromNumber(10))) |
||||
(cons(sum(n)(fromNumber(48)))(Empty)) |
||||
(append(show(div(n)(fromNumber(10))))(show(mod(n)(fromNumber(10)))))); |
||||
export const fromNumber: (n: number) => Term = n => !n ? Zero : Succ._(d(() => fromNumber(n - 1))); |
||||
|
||||
export const fromNumber: (n: number) => Num |
||||
= n => !n ? Zero : Succ(y(() => fromNumber(n - 1))); |
||||
|
||||
export const toNumber: (n: Num) => number |
||||
= n => $$(n(__(0))(_(p => __(1 + toNumber(p))))); |
||||
export const toNumber: (n: Term) => number = n => $(n._(_(0))._(l('p', d(bs => _(1 + toNumber(bs['p'])))))); |
||||
|
||||
@ -0,0 +1,6 @@ |
||||
import { _, g, l, m, r } from './core'; |
||||
import { fromString as _s } from './string'; |
||||
|
||||
m('ord.show'); |
||||
|
||||
export const show = g('show', l('o', r('o')._(_s('LT'))._(_s('EQ'))._(_s('GT')))); |
||||
@ -0,0 +1,8 @@ |
||||
import { _, g, l, m, r } from './core'; |
||||
import { uncurry } from './pair'; |
||||
import { concat, cons, Nil } from './list'; |
||||
import { fromString as _s } from './string'; |
||||
|
||||
m('pair.show'); |
||||
|
||||
export const show = g('show', l('fshow', l('sshow', uncurry._(l('f', l('s', concat._(cons._(_s('('))._(cons._(r('fshow')._('f'))._(cons._(_s(', '))._(cons._(r('sshow')._('s'))._(cons._(_s(')'))._(Nil)))))))))))); |
||||
@ -1,82 +1,32 @@ |
||||
import { L, _ } from './core'; |
||||
import { GT, LT, Ord } from './ord'; |
||||
import { Bool, False, True, and } from './bool'; |
||||
import { Nil, concat, cons } from './list'; |
||||
import { String, fromString as _s } from './string'; |
||||
import { _, g, l, m, r } from './core'; |
||||
import { GT, LT } from './ord'; |
||||
import { False, True, and } from './bool'; |
||||
import { fromString as _s } from './string'; |
||||
|
||||
export type Pair<F extends L, S extends L> = L<<R extends L>(f: L<(f: F) => L<(s: S) => R>>) => R>; |
||||
m('pair'); |
||||
|
||||
export const Pair: L<<F extends L, S extends L>(f: F) => L<(s: S) => Pair<F, S>>> |
||||
= _(<F extends L, S extends L>(f: F) => |
||||
_((s: S) => |
||||
_(<R extends L>(p: L<(f: F) => L<(s: S) => R>>) => p(f)(s)))); |
||||
export const Pair = g('Pair', l('f', l('s', l('p', r('p')._('f')._('s'))))); |
||||
|
||||
export const fst: L<<F extends L, S extends L>(p: Pair<F, S>) => F> |
||||
= _(p => p(_(f => _(_s => f)))); |
||||
export const fst = g('fst', l('p', r('p')._(l('f', l('_', 'f'))))); |
||||
|
||||
export const snd: L<<F extends L, S extends L>(p: Pair<F, S>) => S> |
||||
= _(p => p(_(_f => _(s => s)))); |
||||
export const snd = g('snd', l('p', r('p')._(l('_', l('s', 's'))))); |
||||
|
||||
export const first: L<<F extends L, FR extends L, S extends L>(t: L<(f: F) => FR>) => L<(p: Pair<F, S>) => Pair<FR, S>>> |
||||
= _(<F extends L, FR extends L>(t: L<(f: F) => FR>) => |
||||
_(<S extends L>(p: Pair<F, S>) => p(_(f => _(s => Pair(t(f))(s)))))); |
||||
export const first = g('first', l('t', l('p', r('p')._(l('f', l('s', Pair._(r('t')._('f'))._('s'))))))); |
||||
|
||||
export const second: L<<F extends L, S extends L, SR extends L>(t: L<(s: S) => SR>) => L<(p: Pair<F, S>) => Pair<F, SR>>> |
||||
= _(<S extends L, SR extends L>(t: L<(s: S) => SR>) => |
||||
_(<F extends L>(p: Pair<F, S>) => p(_(f => _(s => Pair(f)(t(s))))))); |
||||
export const second = g('second', l('t', l('p', r('p')._(l('f', l('s', Pair._('f')._(r('t')._('s')))))))); |
||||
|
||||
export const both: L<<F extends L, FR extends L, S extends L, SR extends L>(tf: L<(f: F) => FR>) => L<(ts: L<(s: S) => SR>) => L<(p: Pair<F, S>) => Pair<FR, SR>>>> |
||||
= _(<F extends L, FR extends L>(tf: L<(f: F) => FR>) => |
||||
_(<S extends L, SR extends L>(ts: L<(s: S) => SR>) => |
||||
_((p: Pair<F, S>) => p(_(f => _(s => Pair(tf(f))(ts(s)))))))); |
||||
export const both = g('both', l('tf', l('ts', l('p', r('p')._(l('f', l('s', Pair._(r('tf')._('f'))._(r('ts')._('s'))))))))); |
||||
|
||||
export const uncurry: L<<F extends L, S extends L, R extends L>(t: L<(f: F) => L<(s: S) => R>>) => L<(p: Pair<F, S>) => R>> |
||||
= _(<F extends L, S extends L, R extends L>(t: L<(f: F) => L<(s: S) => R>>) => |
||||
_((p: Pair<F, S>) => p(t))); |
||||
export const uncurry = g('uncurry', l('t', l('p', r('p')._('t')))); |
||||
|
||||
export const cmp: L<<F extends L, S extends L>(fcmp: L<(l: F) => L<(r: F) => Ord>>) => L<(scmp: L<(l: S) => L<(r: S) => Ord>>) => L<(l: Pair<F, S>) => L<(r: Pair<F, S>) => Ord>>>> |
||||
= _(<F extends L, S extends L>(fcmp: L<(l: F) => L<(r: F) => Ord>>) => |
||||
_((scmp: L<(l: S) => L<(r: S) => Ord>>) => |
||||
uncurry(_((lf: F) => _((ls: S) => |
||||
uncurry(_((rf: F) => _((rs: S) => |
||||
fcmp(lf)(rf)(LT)(scmp(ls)(rs))(GT))))))))); |
||||
export const cmp = g('cmp', l('fcmp', l('scmp', uncurry._(l('lf', l('ls', uncurry._(l('rf', l('rs', r('fcmp')._('lf')._('rf')._(LT)._(r('scmp')._('ls')._('rs'))._(GT)))))))))); |
||||
|
||||
export const lt: L<<F extends L, S extends L>(fcmp: L<(l: F) => L<(r: F) => Ord>>) => L<(scmp: L<(l: S) => L<(r: S) => Bool>>) => L<(l: Pair<F, S>) => L<(r: Pair<F, S>) => Bool>>>> |
||||
= _(<F extends L, S extends L>(fcmp: L<(l: F) => L<(r: F) => Ord>>) => |
||||
_((scmp: L<(l: S) => L<(r: S) => Ord>>) => |
||||
uncurry(_((lf: F) => _((ls: S) => |
||||
uncurry(_((rf: F) => _((rs: S) => |
||||
fcmp(lf)(rf)(True)(scmp(ls)(rs)(True)(False)(False))(False))))))))); |
||||
export const lt = g('lt', l('fcmp', l('scmp', uncurry._(l('lf', l('ls', uncurry._(l('rf', l('rs', r('fcmp')._('lf')._('rf')._(True)._(r('scmp')._('ls')._('rs')._(True)._(False)._(False))._(False)))))))))); |
||||
|
||||
export const le: L<<F extends L, S extends L>(fcmp: L<(l: F) => L<(r: F) => Ord>>) => L<(scmp: L<(l: S) => L<(r: S) => Bool>>) => L<(l: Pair<F, S>) => L<(r: Pair<F, S>) => Bool>>>> |
||||
= _(<F extends L, S extends L>(fcmp: L<(l: F) => L<(r: F) => Ord>>) => |
||||
_((scmp: L<(l: S) => L<(r: S) => Ord>>) => |
||||
uncurry(_((lf: F) => _((ls: S) => |
||||
uncurry(_((rf: F) => _((rs: S) => |
||||
fcmp(lf)(rf)(True)(scmp(ls)(rs)(True)(True)(False))(False))))))))); |
||||
export const le = g('le', l('fcmp', l('scmp', uncurry._(l('lf', l('ls', uncurry._(l('rf', l('rs', r('fcmp')._('lf')._('rf')._(True)._(r('scmp')._('ls')._('rs')._(True)._(True)._(False))._(False)))))))))); |
||||
|
||||
export const eq: L<<F extends L, S extends L>(feq: L<(l: F) => L<(r: F) => Bool>>) => L<(seq: L<(l: S) => L<(r: S) => Bool>>) => L<(l: Pair<F, S>) => L<(r: Pair<F, S>) => Bool>>>> |
||||
= _(<F extends L, S extends L>(feq: L<(l: F) => L<(r: F) => Bool>>) => |
||||
_((seq: L<(l: S) => L<(r: S) => Bool>>) => |
||||
uncurry(_((lf: F) => _((ls: S) => |
||||
uncurry(_((rf: F) => _((rs: S) => |
||||
and(feq(lf)(rf))(seq(ls)(rs)))))))))); |
||||
export const eq = g('eq', l('feq', l('seq', uncurry._(l('lf', l('ls', uncurry._(l('rf', l('rs', and._(r('feq')._('lf')._('rf'))._(r('seq')._('ls')._('rs'))))))))))); |
||||
|
||||
export const ge: L<<F extends L, S extends L>(fcmp: L<(l: F) => L<(r: F) => Ord>>) => L<(scmp: L<(l: S) => L<(r: S) => Bool>>) => L<(l: Pair<F, S>) => L<(r: Pair<F, S>) => Bool>>>> |
||||
= _(<F extends L, S extends L>(fcmp: L<(l: F) => L<(r: F) => Ord>>) => |
||||
_((scmp: L<(l: S) => L<(r: S) => Ord>>) => |
||||
uncurry(_((lf: F) => _((ls: S) => |
||||
uncurry(_((rf: F) => _((rs: S) => |
||||
fcmp(lf)(rf)(False)(scmp(ls)(rs)(False)(True)(True))(True))))))))); |
||||
export const ge = g('ge', l('fcmp', l('scmp', uncurry._(l('lf', l('ls', uncurry._(l('rf', l('rs', r('fcmp')._('lf')._('rf')._(False)._(r('scmp')._('ls')._('rs')._(False)._(True)._(True))._(True)))))))))); |
||||
|
||||
export const gt: L<<F extends L, S extends L>(fcmp: L<(l: F) => L<(r: F) => Ord>>) => L<(scmp: L<(l: S) => L<(r: S) => Bool>>) => L<(l: Pair<F, S>) => L<(r: Pair<F, S>) => Bool>>>> |
||||
= _(<F extends L, S extends L>(fcmp: L<(l: F) => L<(r: F) => Ord>>) => |
||||
_((scmp: L<(l: S) => L<(r: S) => Ord>>) => |
||||
uncurry(_((lf: F) => _((ls: S) => |
||||
uncurry(_((rf: F) => _((rs: S) => |
||||
fcmp(lf)(rf)(False)(scmp(ls)(rs)(False)(False)(True))(True))))))))); |
||||
|
||||
export const show: L<<F extends L, S extends L>(fshow: L<(f: F) => String>) => L<(sshow: L<(s: S) => String>) => L<(p: Pair<F, S>) => String>>> |
||||
= _(<F extends L>(fshow: L<(f: F) => String>) => |
||||
_(<S extends L>(sshow: L<(s: S) => String>) => |
||||
uncurry(_((f: F) => _((s: S) => concat(cons(_s('('))(cons(fshow(f))(cons(_s(', '))(cons(sshow(s))(cons(_s(')'))(Nil))))))))))); |
||||
export const gt = g('gt', l('fcmp', l('scmp', uncurry._(l('lf', l('ls', uncurry._(l('rf', l('rs', r('fcmp')._('lf')._('rf')._(False)._(r('scmp')._('ls')._('rs')._(False)._(False)._(True))._(True)))))))))); |
||||
|
||||
@ -0,0 +1,7 @@ |
||||
import { _, g, m } from './core'; |
||||
import { fromChar as _c } from './char'; |
||||
import { wrap, fromString as _s } from './string'; |
||||
|
||||
m('string.show'); |
||||
|
||||
export const show = g('show', wrap._(_s('"'))); |
||||
@ -1,40 +1,29 @@ |
||||
import { toNative as $$, L, _, fromNative as __, y } from './core'; |
||||
import { Ord } from './ord'; |
||||
import { Bool } from './bool'; |
||||
import { fromNumber as _nn } from './num'; |
||||
import { toChar as $c, Char, fromChar as _c, cmp as cmpc, eq as eqc } from './char'; |
||||
import { Cons, List, Nil, append, cmp as cmpl, eq as eql, ge as gel, gt as gtl, le as lel, lt as ltl } from './list'; |
||||
import { $, Term, _, d, g, l, m } from './core'; |
||||
import { fromChar as _c, cmp as cmpc, eq as eqc, fromChar, toChar } from './char'; |
||||
import { Cons, Nil, append, cmp as cmpl, eq as eql, ge as gel, gt as gtl, le as lel, lt as ltl, nul } from './list'; |
||||
|
||||
export type String = List<Char>; |
||||
export { len, Cons, cons, snoc, append, repeat, iterate, get, update, set } from './list'; |
||||
|
||||
export { Nil as Empty, nul as empty, len, Cons, cons, snoc, append, repeat, iterate, get, update, set } from './list'; |
||||
m('string'); |
||||
|
||||
export const cmp: L<(l: String) => L<(r: String) => Ord>> |
||||
= cmpl(cmpc); |
||||
export const Empty = g('Empty', Nil); |
||||
|
||||
export const lt: L<(l: String) => L<(r: String) => Bool>> |
||||
= ltl(cmpc); |
||||
export const empty = g('empty', nul); |
||||
|
||||
export const le: L<(l: String) => L<(r: String) => Bool>> |
||||
= lel(cmpc); |
||||
export const cmp = g('cmp', cmpl._(cmpc)); |
||||
|
||||
export const eq: L<(l: String) => L<(r: String) => Bool>> |
||||
= eql(eqc); |
||||
export const lt = g('lt', ltl._(cmpc)); |
||||
|
||||
export const ge: L<(l: String) => L<(r: String) => Bool>> |
||||
= gel(cmpc); |
||||
export const le = g('le', lel._(cmpc)); |
||||
|
||||
export const gt: L<(l: String) => L<(r: String) => Bool>> |
||||
= gtl(cmpc); |
||||
export const eq = g('eq', eql._(eqc)); |
||||
|
||||
export const wrap: L<(w: String) => L<(c: String) => String>> |
||||
= _(w => _(c => append(w)(append(c)(w)))); |
||||
export const ge = g('ge', gel._(cmpc)); |
||||
|
||||
export const fromString: (xs: string) => String |
||||
= xs => xs.length === 0 ? Nil : Cons(_c(xs[0]))(y(() => fromString(xs.slice(1)))); |
||||
export const gt = g('gt', gtl._(cmpc)); |
||||
|
||||
export const toString: (xs: String) => string |
||||
= xs => $$(xs(__(''))(_(x => _(xs => __($c(x) + toString(xs)))))); |
||||
export const wrap = g('wrap', l('w', l('c', append._('w')._(append._('c')._('w'))))); |
||||
|
||||
export const show: L<(s: String) => String> |
||||
= wrap(fromString('"')); |
||||
export const fromString: (xs: string) => Term = s => !s.length ? Nil : Cons._(fromChar(s[0]))._(d(() => fromString(s.slice(1)))); |
||||
|
||||
export const toString: (xs: Term) => string = s => $(s._(_(''))._(l('x', l('xs', d(bs => _(toChar(bs['x']) + toString(bs['xs']))))))); |
||||
|
||||
@ -1,230 +1,233 @@ |
||||
import { describe, expect, it } from '@jest/globals'; |
||||
import { undef } from '../src/core'; |
||||
import { toNOrd as $o, NOrd } from '../src/ord'; |
||||
import { toBoolean as $b, fromBoolean as _b, cmp as bcmp, eq as beq, show as bshow, not } from '../src/bool'; |
||||
import { toNumber as $n, fromNumber as _n, cmp as ncmp, eq as neq, show as nshow, succ } from '../src/num'; |
||||
import { Pair, both, cmp, eq, first, fst, ge, gt, le, lt, second, show, snd } from '../src/pair'; |
||||
import { toString as $s } from '../src/string'; |
||||
import { toBoolean as $b, fromBoolean as _b, cmp as bcmp, eq as beq, not } from '../src/bool'; |
||||
import { toNumber as $n, fromNumber as _n, cmp as ncmp, eq as neq, succ } from '../src/num'; |
||||
import { Pair, both, cmp, eq, first, fst, ge, gt, le, lt, second, snd } from '../src/pair'; |
||||
import { toString } from '../src/string'; |
||||
import { show as bshow } from '../src/bool.show'; |
||||
import { show as nshow } from '../src/num.show'; |
||||
import { show } from '../src/pair.show'; |
||||
|
||||
describe('Pair', () => { |
||||
describe('fst', () => { |
||||
it('returns first', () => { |
||||
expect($b(fst(Pair(_b(false))(_n(0))))).toBe(false); |
||||
expect($b(fst._(Pair._(_b(false))._(_n(0))))).toBe(false); |
||||
}); |
||||
|
||||
it('ignores second', () => { |
||||
expect($b(fst(Pair(_b(false))(undef)))).toBe(false); |
||||
expect($b(fst._(Pair._(_b(false))._(undef)))).toBe(false); |
||||
}); |
||||
}); |
||||
|
||||
describe('snd', () => { |
||||
it('returns second', () => { |
||||
expect($n(snd(Pair(_b(false))(_n(0))))).toBe(0); |
||||
expect($n(snd._(Pair._(_b(false))._(_n(0))))).toBe(0); |
||||
}); |
||||
|
||||
it('ignores first', () => { |
||||
expect($n(snd(Pair(undef)(_n(0))))).toBe(0); |
||||
expect($n(snd._(Pair._(undef)._(_n(0))))).toBe(0); |
||||
}); |
||||
}); |
||||
|
||||
describe('first', () => { |
||||
it('updates first', () => { |
||||
expect($b(fst(first(not)(Pair(_b(false))(_n(0)))))).toBe(true); |
||||
expect($b(fst._(first._(not)._(Pair._(_b(false))._(_n(0)))))).toBe(true); |
||||
}); |
||||
|
||||
it('ignores second', () => { |
||||
expect($b(fst(first(not)(Pair(_b(false))(undef))))).toBe(true); |
||||
expect($b(fst._(first._(not)._(Pair._(_b(false))._(undef))))).toBe(true); |
||||
}); |
||||
}); |
||||
|
||||
describe('second', () => { |
||||
it('updates second', () => { |
||||
expect($n(snd(second(succ)(Pair(_b(false))(_n(0)))))).toBe(1); |
||||
expect($n(snd._(second._(succ)._(Pair._(_b(false))._(_n(0)))))).toBe(1); |
||||
}); |
||||
|
||||
it('ignores first', () => { |
||||
expect($n(snd(second(succ)(Pair(undef)(_n(0)))))).toBe(1); |
||||
expect($n(snd._(second._(succ)._(Pair._(undef)._(_n(0)))))).toBe(1); |
||||
}); |
||||
}); |
||||
|
||||
describe('both', () => { |
||||
it('updates both', () => { |
||||
expect($b(fst(both(not)(succ)(Pair(_b(false))(_n(0)))))).toBe(true); |
||||
expect($n(snd(both(not)(succ)(Pair(_b(false))(_n(0)))))).toBe(1); |
||||
expect($b(fst._(both._(not)._(succ)._(Pair._(_b(false))._(_n(0)))))).toBe(true); |
||||
expect($n(snd._(both._(not)._(succ)._(Pair._(_b(false))._(_n(0)))))).toBe(1); |
||||
}); |
||||
}); |
||||
|
||||
describe('cmp', () => { |
||||
it('(False, 0) cmp (False, 0) is EQ', () => { |
||||
expect($o(cmp(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(false))(_n(0))))).toBe(NOrd.EQ); |
||||
expect($o(cmp._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(false))._(_n(0))))).toBe(NOrd.EQ); |
||||
}); |
||||
|
||||
it('(False, 0) cmp (False, 1) is LT', () => { |
||||
expect($o(cmp(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(false))(_n(1))))).toBe(NOrd.LT); |
||||
expect($o(cmp._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(false))._(_n(1))))).toBe(NOrd.LT); |
||||
}); |
||||
|
||||
it('(False, 1) cmp (False, 0) is GT', () => { |
||||
expect($o(cmp(bcmp)(ncmp)(Pair(_b(false))(_n(1)))(Pair(_b(false))(_n(0))))).toBe(NOrd.GT); |
||||
expect($o(cmp._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(1)))._(Pair._(_b(false))._(_n(0))))).toBe(NOrd.GT); |
||||
}); |
||||
|
||||
it('(False, 0) cmp (True, 0) is LT', () => { |
||||
expect($o(cmp(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(true))(_n(0))))).toBe(NOrd.LT); |
||||
expect($o(cmp._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(true))._(_n(0))))).toBe(NOrd.LT); |
||||
}); |
||||
|
||||
it('(True, 0) cmp (False, 0) is GT', () => { |
||||
expect($o(cmp(bcmp)(ncmp)(Pair(_b(true))(_n(0)))(Pair(_b(false))(_n(0))))).toBe(NOrd.GT); |
||||
expect($o(cmp._(bcmp)._(ncmp)._(Pair._(_b(true))._(_n(0)))._(Pair._(_b(false))._(_n(0))))).toBe(NOrd.GT); |
||||
}); |
||||
|
||||
it('ignores second if first not equal', () => { |
||||
expect($o(cmp(bcmp)(undef)(Pair(_b(false))(undef))(Pair(_b(true))(undef)))).toBe(NOrd.LT); |
||||
expect($o(cmp._(bcmp)._(undef)._(Pair._(_b(false))._(undef))._(Pair._(_b(true))._(undef)))).toBe(NOrd.LT); |
||||
}); |
||||
}); |
||||
|
||||
describe('lt', () => { |
||||
it('(False, 0) lt (False, 0) is False', () => { |
||||
expect($b(lt(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(false))(_n(0))))).toBe(false); |
||||
expect($b(lt._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(false))._(_n(0))))).toBe(false); |
||||
}); |
||||
|
||||
it('(False, 0) lt (False, 1) is True', () => { |
||||
expect($b(lt(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(false))(_n(1))))).toBe(true); |
||||
expect($b(lt._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(false))._(_n(1))))).toBe(true); |
||||
}); |
||||
|
||||
it('(False, 1) lt (False, 0) is False', () => { |
||||
expect($b(lt(bcmp)(ncmp)(Pair(_b(false))(_n(1)))(Pair(_b(false))(_n(0))))).toBe(false); |
||||
expect($b(lt._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(1)))._(Pair._(_b(false))._(_n(0))))).toBe(false); |
||||
}); |
||||
|
||||
it('(False, 0) lt (True, 0) is True', () => { |
||||
expect($b(lt(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(true))(_n(0))))).toBe(true); |
||||
expect($b(lt._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(true))._(_n(0))))).toBe(true); |
||||
}); |
||||
|
||||
it('(True, 0) lt (False, 0) is False', () => { |
||||
expect($b(lt(bcmp)(ncmp)(Pair(_b(true))(_n(0)))(Pair(_b(false))(_n(0))))).toBe(false); |
||||
expect($b(lt._(bcmp)._(ncmp)._(Pair._(_b(true))._(_n(0)))._(Pair._(_b(false))._(_n(0))))).toBe(false); |
||||
}); |
||||
|
||||
it('ignores second if first not equal', () => { |
||||
expect($b(lt(bcmp)(undef)(Pair(_b(false))(undef))(Pair(_b(true))(undef)))).toBe(true); |
||||
expect($b(lt._(bcmp)._(undef)._(Pair._(_b(false))._(undef))._(Pair._(_b(true))._(undef)))).toBe(true); |
||||
}); |
||||
}); |
||||
|
||||
describe('le', () => { |
||||
it('(False, 0) le (False, 0) is True', () => { |
||||
expect($b(le(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(false))(_n(0))))).toBe(true); |
||||
expect($b(le._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(false))._(_n(0))))).toBe(true); |
||||
}); |
||||
|
||||
it('(False, 0) le (False, 1) is True', () => { |
||||
expect($b(le(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(false))(_n(1))))).toBe(true); |
||||
expect($b(le._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(false))._(_n(1))))).toBe(true); |
||||
}); |
||||
|
||||
it('(False, 1) le (False, 0) is False', () => { |
||||
expect($b(le(bcmp)(ncmp)(Pair(_b(false))(_n(1)))(Pair(_b(false))(_n(0))))).toBe(false); |
||||
expect($b(le._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(1)))._(Pair._(_b(false))._(_n(0))))).toBe(false); |
||||
}); |
||||
|
||||
it('(False, 0) le (True, 0) is True', () => { |
||||
expect($b(le(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(true))(_n(0))))).toBe(true); |
||||
expect($b(le._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(true))._(_n(0))))).toBe(true); |
||||
}); |
||||
|
||||
it('(True, 0) le (False, 0) is False', () => { |
||||
expect($b(le(bcmp)(ncmp)(Pair(_b(true))(_n(0)))(Pair(_b(false))(_n(0))))).toBe(false); |
||||
expect($b(le._(bcmp)._(ncmp)._(Pair._(_b(true))._(_n(0)))._(Pair._(_b(false))._(_n(0))))).toBe(false); |
||||
}); |
||||
|
||||
it('ignores second if first not equal', () => { |
||||
expect($b(le(bcmp)(undef)(Pair(_b(false))(undef))(Pair(_b(true))(undef)))).toBe(true); |
||||
expect($b(le._(bcmp)._(undef)._(Pair._(_b(false))._(undef))._(Pair._(_b(true))._(undef)))).toBe(true); |
||||
}); |
||||
}); |
||||
|
||||
describe('eq', () => { |
||||
it('(False, 0) eq (False, 0) is True', () => { |
||||
expect($b(eq(beq)(neq)(Pair(_b(false))(_n(0)))(Pair(_b(false))(_n(0))))).toBe(true); |
||||
expect($b(eq._(beq)._(neq)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(false))._(_n(0))))).toBe(true); |
||||
}); |
||||
|
||||
it('(False, 0) eq (False, 1) is False', () => { |
||||
expect($b(eq(beq)(neq)(Pair(_b(false))(_n(0)))(Pair(_b(false))(_n(1))))).toBe(false); |
||||
expect($b(eq._(beq)._(neq)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(false))._(_n(1))))).toBe(false); |
||||
}); |
||||
|
||||
it('(False, 1) eq (False, 0) is False', () => { |
||||
expect($b(eq(beq)(neq)(Pair(_b(false))(_n(1)))(Pair(_b(false))(_n(0))))).toBe(false); |
||||
expect($b(eq._(beq)._(neq)._(Pair._(_b(false))._(_n(1)))._(Pair._(_b(false))._(_n(0))))).toBe(false); |
||||
}); |
||||
|
||||
it('(False, 0) eq (True, 0) is True', () => { |
||||
expect($b(eq(beq)(neq)(Pair(_b(false))(_n(0)))(Pair(_b(true))(_n(0))))).toBe(false); |
||||
expect($b(eq._(beq)._(neq)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(true))._(_n(0))))).toBe(false); |
||||
}); |
||||
|
||||
it('(True, 0) eq (False, 0) is True', () => { |
||||
expect($b(eq(beq)(neq)(Pair(_b(true))(_n(0)))(Pair(_b(false))(_n(0))))).toBe(false); |
||||
expect($b(eq._(beq)._(neq)._(Pair._(_b(true))._(_n(0)))._(Pair._(_b(false))._(_n(0))))).toBe(false); |
||||
}); |
||||
|
||||
it('ignores second if first not equal', () => { |
||||
expect($b(eq(beq)(undef)(Pair(_b(false))(undef))(Pair(_b(true))(undef)))).toBe(false); |
||||
expect($b(eq._(beq)._(undef)._(Pair._(_b(false))._(undef))._(Pair._(_b(true))._(undef)))).toBe(false); |
||||
}); |
||||
}); |
||||
|
||||
describe('ge', () => { |
||||
it('(False, 0) ge (False, 0) is True', () => { |
||||
expect($b(ge(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(false))(_n(0))))).toBe(true); |
||||
expect($b(ge._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(false))._(_n(0))))).toBe(true); |
||||
}); |
||||
|
||||
it('(False, 0) ge (False, 1) is False', () => { |
||||
expect($b(ge(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(false))(_n(1))))).toBe(false); |
||||
expect($b(ge._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(false))._(_n(1))))).toBe(false); |
||||
}); |
||||
|
||||
it('(False, 1) ge (False, 0) is True', () => { |
||||
expect($b(ge(bcmp)(ncmp)(Pair(_b(false))(_n(1)))(Pair(_b(false))(_n(0))))).toBe(true); |
||||
expect($b(ge._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(1)))._(Pair._(_b(false))._(_n(0))))).toBe(true); |
||||
}); |
||||
|
||||
it('(False, 0) ge (True, 0) is False', () => { |
||||
expect($b(ge(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(true))(_n(0))))).toBe(false); |
||||
expect($b(ge._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(true))._(_n(0))))).toBe(false); |
||||
}); |
||||
|
||||
it('(True, 0) ge (False, 0) is True', () => { |
||||
expect($b(ge(bcmp)(ncmp)(Pair(_b(true))(_n(0)))(Pair(_b(false))(_n(0))))).toBe(true); |
||||
expect($b(ge._(bcmp)._(ncmp)._(Pair._(_b(true))._(_n(0)))._(Pair._(_b(false))._(_n(0))))).toBe(true); |
||||
}); |
||||
|
||||
it('ignores second if first not equal', () => { |
||||
expect($b(ge(bcmp)(undef)(Pair(_b(false))(undef))(Pair(_b(true))(undef)))).toBe(false); |
||||
expect($b(ge._(bcmp)._(undef)._(Pair._(_b(false))._(undef))._(Pair._(_b(true))._(undef)))).toBe(false); |
||||
}); |
||||
}); |
||||
|
||||
describe('gt', () => { |
||||
it('(False, 0) gt (False, 0) is False', () => { |
||||
expect($b(gt(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(false))(_n(0))))).toBe(false); |
||||
expect($b(gt._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(false))._(_n(0))))).toBe(false); |
||||
}); |
||||
|
||||
it('(False, 0) gt (False, 1) is False', () => { |
||||
expect($b(gt(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(false))(_n(1))))).toBe(false); |
||||
expect($b(gt._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(false))._(_n(1))))).toBe(false); |
||||
}); |
||||
|
||||
it('(False, 1) gt (False, 0) is True', () => { |
||||
expect($b(gt(bcmp)(ncmp)(Pair(_b(false))(_n(1)))(Pair(_b(false))(_n(0))))).toBe(true); |
||||
expect($b(gt._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(1)))._(Pair._(_b(false))._(_n(0))))).toBe(true); |
||||
}); |
||||
|
||||
it('(False, 0) gt (True, 0) is False', () => { |
||||
expect($b(gt(bcmp)(ncmp)(Pair(_b(false))(_n(0)))(Pair(_b(true))(_n(0))))).toBe(false); |
||||
expect($b(gt._(bcmp)._(ncmp)._(Pair._(_b(false))._(_n(0)))._(Pair._(_b(true))._(_n(0))))).toBe(false); |
||||
}); |
||||
|
||||
it('(True, 0) gt (False, 0) is True', () => { |
||||
expect($b(gt(bcmp)(ncmp)(Pair(_b(true))(_n(0)))(Pair(_b(false))(_n(0))))).toBe(true); |
||||
expect($b(gt._(bcmp)._(ncmp)._(Pair._(_b(true))._(_n(0)))._(Pair._(_b(false))._(_n(0))))).toBe(true); |
||||
}); |
||||
|
||||
it('ignores second if first not equal', () => { |
||||
expect($b(gt(bcmp)(undef)(Pair(_b(false))(undef))(Pair(_b(true))(undef)))).toBe(false); |
||||
expect($b(gt._(bcmp)._(undef)._(Pair._(_b(false))._(undef))._(Pair._(_b(true))._(undef)))).toBe(false); |
||||
}); |
||||
}); |
||||
|
||||
describe('show', () => { |
||||
it('show (False, 0) is "(False, 0)"', () => { |
||||
expect($s(show(bshow)(nshow)(Pair(_b(false))(_n(0))))).toBe('(False, 0)'); |
||||
expect(toString(show._(bshow)._(nshow)._(Pair._(_b(false))._(_n(0))))).toBe('(False, 0)'); |
||||
}); |
||||
|
||||
it('show (False, 1) is "(False, 1)"', () => { |
||||
expect($s(show(bshow)(nshow)(Pair(_b(false))(_n(1))))).toBe('(False, 1)'); |
||||
expect(toString(show._(bshow)._(nshow)._(Pair._(_b(false))._(_n(1))))).toBe('(False, 1)'); |
||||
}); |
||||
|
||||
it('show (True, 0) is "(True, 0)"', () => { |
||||
expect($s(show(bshow)(nshow)(Pair(_b(true))(_n(0))))).toBe('(True, 0)'); |
||||
expect(toString(show._(bshow)._(nshow)._(Pair._(_b(true))._(_n(0))))).toBe('(True, 0)'); |
||||
}); |
||||
|
||||
it('show (True, 1) is "(True, 1)"', () => { |
||||
expect($s(show(bshow)(nshow)(Pair(_b(true))(_n(1))))).toBe('(True, 1)'); |
||||
expect(toString(show._(bshow)._(nshow)._(Pair._(_b(true))._(_n(1))))).toBe('(True, 1)'); |
||||
}); |
||||
}); |
||||
}); |
||||
|
||||
@ -1,6 +1,7 @@ |
||||
{ |
||||
"extends": "../tsconfig.json", |
||||
"include": [ |
||||
"../src/**/*.ts", |
||||
"**/*.ts", |
||||
], |
||||
} |
||||
|
||||
Loading…
Reference in new issue