feat: Runtime type reflection (#17)

Now each behavior specification "knows" its type information.
  Also bumps version number and sets up so that the scripts will run on Windows as well as Unix (thanks to Jos).
  Resolves #5.
  Resolves #16.

Co-authored-by: Jos de Jong <wjosdejong@gmail.com>
Reviewed-on: #17
Co-authored-by: Glen Whitney <glen@studioinfinity.org>
Co-committed-by: Glen Whitney <glen@studioinfinity.org>
This commit is contained in:
Glen Whitney 2023-10-17 22:02:18 +00:00 committed by Glen Whitney
parent 180e772dab
commit 40146c2f48
19 changed files with 1317 additions and 56 deletions

View File

@ -8,3 +8,7 @@ Convenience scripts:
* `pnpm build` -- compile the package
* `pnpm exec` -- run the compiled code produced by `pnpm build`
* `pnpm go` -- both of the above in sequence.
Important installation note:
after `pnpm install`, you must execute `npx ts-patch install` to activate the ts-macros compiler plugin.

View File

@ -1,13 +1,14 @@
{
name: 'typocomath',
version: '0.0.1',
version: '0.0.2',
description: 'A hopeful final typescipt-pragmatic mathjs proof-of-concept',
main: 'index.ts',
scripts: {
test: 'echo "Error: no test specified" && exit 1',
build: 'tsc && cp etc/package.json build',
exec: 'node build',
go: 'pnpm --sequential "/build|exec/"',
build: 'mkdirp build && cpy etc/package.json build --flat && tsc',
start: 'node build',
go: 'pnpm clean && pnpm build && pnpm start',
clean: 'del-cli build',
},
packageManager: 'pnpm',
keywords: [
@ -22,8 +23,13 @@
url: 'https://code.studioinfinity.org/glen/typocomath.git',
},
devDependencies: {
'@types/node': '^20.5.0',
'source-map': '^0.7.4',
typescript: '^5.1.6',
'@types/node': '20.8.4',
'cpy-cli': '5.0.0',
'del-cli': '5.1.0',
mkdirp: '3.0.1',
'source-map': '0.7.4',
'ts-macros': '2.6.0',
'ts-patch': '3.0.2',
typescript: '5.1.6',
},
}

View File

@ -6,19 +6,771 @@ settings:
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version: 0.7.4
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View File

@ -2,6 +2,7 @@ import {Complex} from './type.js'
import type {
Dependencies, Signature, Returns, RealType, AliasOf
} from '../interfaces/type.js'
import {$reflect} from '../interfaces/type.js'
declare module "../interfaces/type" {
interface Signatures<T> {
@ -78,11 +79,10 @@ export const sqrt =
& Dependencies<'zero' | 'complex', T>
& Dependencies<'absquare' | 're' | 'divideReal', Complex<T>>
& {
addTR: Signature<'addReal', T>,
addTR: Signature<'addReal', T>,
addRR: Signature<'add', RealType<T>>,
addCR: Signature<'addReal', Complex<T>>
}):
Signature<'sqrt', Complex<T>> =>
}): Signature<'sqrt', Complex<T>> =>
z => {
const myabs = dep.conservativeSqrt(dep.absquare(z))
const r = dep.re(z)
@ -98,4 +98,7 @@ export const sqrt =
return dep.divideReal(num, denom)
}
export const conservativeSqrt = sqrt
$reflect!([
add, addReal, unaryMinus, conj, subtract, multiply, absquare, divideReal,
reciprocal, divide, sqrt
])

View File

@ -1,9 +1,13 @@
import {Complex} from './type.js'
import type {Dependencies, Signature} from '../interfaces/type.js'
import {$reflect} from '../interfaces/type.js'
export const isReal =
<T>(dep: Dependencies<'add' | 'equal' | 'isReal', T>):
Signature<'isReal', Complex<T>> =>
z => dep.isReal(z.re) && dep.equal(z.re, dep.add(z.re, z.im))
export const isSquare: Signature<'isSquare', Complex<any>> = z => true // FIXME: not correct for Complex<bigint> once we get there
export const isSquare = (): Signature<'isSquare', Complex<unknown>> =>
z => true // FIXME: not correct for Complex<bigint> once we get there
$reflect!([isReal, isSquare])

View File

@ -1,6 +1,8 @@
import {Complex} from './type.js'
import {Dependencies, Signature} from '../interfaces/type.js'
import {$reflect} from '../interfaces/type.js'
export const equal =
<T>(dep: Dependencies<'equal', T>): Signature<'equal', Complex<T>> =>
(w, z) => dep.equal(w.re, z.re) && dep.equal(w.im, z.im)
$reflect!([equal])

View File

@ -2,6 +2,7 @@ import {joinTypes, typeOfDependency} from '../core/Dispatcher.js'
import type {
ZeroType, OneType, NaNType, Dependencies, Signature, Returns
} from '../interfaces/type.js'
import {$reflect} from '../interfaces/type.js'
export type Complex<T> = { re: T; im: T; }
@ -62,3 +63,5 @@ export const nan =
export const re =
<T>(dep: Dependencies<'re', T>): Signature<'re', Complex<T>> =>
z => dep.re(z.re)
$reflect!([complex, zero, one, nan, re])

View File

@ -5,6 +5,8 @@
* for specific types (including their own).
*/
import {parseReflectedType, ImplementationDef} from './parseReflectedType.js'
// First helper types and functions for the Dispatcher
type TypeName = string
@ -39,21 +41,25 @@ type SpecificationsGroup = Record<string, SpecObject>
export class Dispatcher {
installSpecification(
name: string,
signature: Signature,
returns: TypeName,
dependencies: Record<string, Signature>,
defn: ImplementationDef,
behavior: Function // possible todo: constrain this type based
// on the signature, return type, and dependencies. Not sure if
// that's really possible, though.
) {
console.log('Pretending to install', name, signature, '=>', returns)
console.log('Pretending to install', name, 'with signatures')
for (const signature of defn.fn.signatures) {
console.log(' ', signature.args, '=>', signature.returns)
}
if (defn.fn.aliasOf) {
console.log(' As an alias of', defn.fn.aliasOf)
}
//TODO: implement me
}
installType(name: TypeName, typespec: TypeSpecification) {
console.log('Pretending to install type', name, typespec)
//TODO: implement me
}
constructor(collection: SpecificationsGroup) {
constructor(collection: SpecificationsGroup) {
const implementations = []
for (const key in collection) {
console.log('Working on', key)
@ -71,7 +77,8 @@ export class Dispatcher {
for (const trio of implementations) {
const [k, id, imp] = trio
console.log('Handling implementation', id, 'from', k)
this.installSpecification(id, ['dunno'], 'unsure', {}, imp)
this.installSpecification(
id, parseReflectedType(id, imp.reflectedType), imp)
}
}
}

View File

@ -0,0 +1,273 @@
export type FunctionDef {
name: string,
aliasOf?: string,
signatures: Array<{
args: Array<{ name: string, type: string }>
returns: string
}>
}
export type ImplementationDef = {
fn: FunctionDef,
dependencies: Record<string, FunctionDef>
}
/**
* Parse a reflected type coming out of TypeScript into a structured object, for example:
*
* '<T>(dep: configDependency & { complex: ((re: number) => Complex<number>) | ((re: number, im: number) => Complex<number>); }) => (a: number) => number | Complex<number>'
*/
export function parseReflectedType(name: string, reflectedType: string): ImplementationDef {
console.log('For', name, 'parsing', reflectedType)
const [factoryArgs, fnsClause] = split(reflectedType, '=>', 2).map(trim)
const fn = parseAlias(name, fnsClause)
const factoryArgsInner = findBlockContents(factoryArgs, '(', ')')
const depArg = split(factoryArgsInner.innerText, ':').map(trim)[1]
const depArgBlocks: string[] = depArg ? split(depArg, '&').map(trim) : []
const deps = depArgBlocks
.filter(depArgBlock => {
if (depArgBlock.startsWith('{') || depArgBlock === 'configDependency') {
return true
} else {
throw new SyntaxError(`Cannot parse dependency "${depArgBlock}"`)
}
})
.flatMap(parseDependencies)
const dependencies: Record<string, FunctionDef> = groupBy(deps, 'name')
return {fn, dependencies}
}
function parseDependencies(deps: string): FunctionDef[] {
if (deps === 'configDependency') {
return [{name: 'config', signatures: [{args: [], returns: 'Config'}]}]
}
const inner = findBlockContents(deps, '{', '}').innerText
return split(inner, ';')
.map(trim)
.filter(notEmpty)
.map(parseDependency)
}
// parse a dependency like "complex: ((re: number) => Complex<number>) | ((re: number, im: number) => Complex<number>)"
function parseDependency(dep: string): FunctionDef {
const [name, def] = split(dep, ':').map(trim)
return parseAlias(name, def)
}
// Parse a possibly aliased function
function parseAlias(name: string, alias: string): FunctionDef {
const { aliasOf, innerSignature } = parseAliasOf(alias)
return { name, signatures: parseSignatures(innerSignature), aliasOf }
}
// parse function signatures like ((re: number) => Complex<number>) | ((re: number, im: number) => Complex<number>)
// But also have to succeed on (a: number) => number | Complex<number>
// That's why we only split on an alternation bar `|` that's followed by
// a parenthesis; that way we avoid splitting a union return type. Note
// this is not necessarily foolproof, as there could be a return type that
// is a union with a complicated piece that has to be enclosed in parens;
// but so far it seems to work in practice.
function parseSignatures(sigs: string) {
return split(sigs, /[|]\s*(?=[(])/)
.map(trim)
.map(stripParenthesis)
.map(signature => {
const [argsBlock, returns] = split(signature, '=>').map(trim)
if (!returns) {
throw new SyntaxError(`Failed to find return type in '${signature}'`)
}
return {
args: parseArgs(argsBlock),
returns
}
})
}
// parse args like "(re: number, im: number)"
function parseArgs(argsBlock: string) : Array<{name: string, type: string}> {
const args = findBlockContents(argsBlock, '(', ')').innerText
return split(args, ',')
.map(trim)
.map(arg => {
const [name, type] = split(arg, ':').map(trim)
return { name, type}
})
}
// parse "AliasOf<"divide", (a: Complex<T>, b: RealType<Complex<T>>) => Complex<T>>"
function parseAliasOf(signature: string) : { innerSignature: string, aliasOf: string | undefined } {
if (!signature.startsWith('AliasOf')) {
return {
innerSignature: signature,
aliasOf: undefined
}
}
const inner = findBlockContents(signature, '<', '>').innerText.trim()
const [aliasOfWithQuotes, innerSignature] = split(inner, ',').map(trim)
return {
innerSignature,
aliasOf: aliasOfWithQuotes.substring(1, aliasOfWithQuotes.length - 1) // remove double quotes
}
}
// remove the outer parenthesis, for example "((re: number) => Complex<number>)" returns "(re: number) => Complex<number>"
function stripParenthesis(text: string) : string {
return text.startsWith('(') && text.endsWith(')')
? text.substring(1, text.length - 1)
: text
}
function findBlockContents(text: string, blockStart: string, blockEnd: string, startIndex = 0) : { start: number, end: number, innerText: string } | undefined {
let i = startIndex
while (!matchSubString(text, blockStart, i) && i < text.length) {
i++
}
if (i >= text.length) {
return undefined
}
i++
const start = i
while (!matchSubString(text, blockEnd, i) || matchSubString(text, '=>', i - 1)) {
i = skipBrackets(text, i)
i++
}
if (i >= text.length) {
return undefined
}
const end = i
return {
start,
end,
innerText: text.substring(start, end)
}
}
/**
* Given a string, generate a string source for a regexp that will match
* exactly the given string.
* Uses the fact that the only characters that need to be escaped in
* a character class are \, ], and ^
*/
function regexpQuote(s: string) {
const special = '\\]^'
let re = ''
for (const char of s) {
if (special.includes(char)) re += `\\${char}`
else re += `[${char}]`
}
return re
}
/**
* Split a string by a delimiter, but ignore all occurrences of the delimiter
* that are inside bracket pairs <> () [] {}
*/
export function split(
text: string, delimiter: string | RegExp, pieces = 0): string[] {
const delim: RegExp = typeof delimiter === 'string'
? new RegExp(regexpQuote(delimiter), 'y')
: new RegExp(delimiter.source, 'y')
const parts: string[] = []
let i = 0
let n = 1
let start = 0
while (i < text.length && (pieces === 0 || n < pieces)) {
i = skipBrackets(text, i)
delim.lastIndex = i
const result = delim.exec(text)
if (result) {
parts.push(text.substring(start, i))
n += 1
i += result[0].length
start = i
}
i++
}
parts.push(text.substring(start))
return parts
}
function skipBrackets(text: string, startIndex: number) : number {
let level = 0
let i = startIndex
do {
if (isBracketOpen(text, i)) {
level++
}
if (isBracketClose(text, i) && level > 0) {
level--
}
if (level === 0) {
break
}
i++
} while(i < text.length)
return i
}
function isBracketOpen(text: string, index: number) {
const char = text[index]
return char === '(' || char === '<' || char === '[' || char === '{'
}
function isBracketClose(text: string, index: number) {
const char = text[index]
// we need to take care of not matching the ">" of the operator "=>"
return char === ')' || (char === '>' && text[index - 1] !== '=') || char === ']' || char === '}'
}
function matchSubString(text: string, search: string, index: number) : boolean {
for (let i = 0; i < search.length; i++) {
if (text[i + index] !== search[i]) {
return false
}
}
return true
}
function trim(text: string) : string {
return text.trim()
}
function notEmpty(text: string) : boolean {
return text.length > 0
}
function groupBy<T>(items: T[], key: string) : Record<string, T> {
const obj: Record<string, T> = {}
items.forEach((item) => {
obj[item[key]] = item
})
return obj
}

View File

@ -1,7 +1,9 @@
import type {Dependencies, Signature} from '../interfaces/type.js'
import {$reflect} from '../interfaces/type.js'
export const square =
<T>(dep: Dependencies<'multiply', T>): Signature<'square', T> =>
z => dep.multiply(z, z)
// z => dep.fooBar(z, z) // fails as desired
// z => dep.multiply(z, 'foo') // fails as desired
// z => dep.multiply(z, 'foo') // still fails as desired
$reflect!([square])

View File

@ -1,5 +1,7 @@
import {Dependencies, Signature} from '../interfaces/type.js'
import {$reflect} from '../interfaces/type.js'
export const unequal =
<T>(dep: Dependencies<'equal', T>): Signature<'unequal', T> =>
(x, y) => !dep.equal(x, y)
$reflect!([unequal])

View File

@ -1,3 +1,4 @@
import {inspect} from 'node:util'
import {Dispatcher} from './core/Dispatcher.js'
import * as Specifications from './all.js'
@ -5,16 +6,48 @@ export default new Dispatcher(Specifications)
import {Complex} from './Complex/type.js'
import {absquare as absquare_complex} from './Complex/arithmetic.js'
import {parseReflectedType} from './core/parseReflectedType.js'
const mockRealAdd = (a: number, b: number) => a+b
const mockComplexAbsquare = (z: Complex<number>) => z.re*z.re + z.im*z.im
const mockComplex = (re: number, im: number) => ({ re, im })
const config = {
predictable: false,
epsilon: 1e-14
}
const quatAbsquare = absquare_complex({
add: mockRealAdd,
absquare: mockComplexAbsquare
add: mockRealAdd,
absquare: mockComplexAbsquare
})
const myabs = quatAbsquare({re: {re: 0, im: 1}, im: {re:2, im: 3}})
const typeTest: typeof myabs = 7 // check myabs is just a number
console.log('Result is myabs=', myabs)
console.log('Result is', myabs)
const sqrt = Specifications.numbers.sqrt({
config,
complex: mockComplex
})
console.log('Result of sqrt(16)=', sqrt(16))
console.log('Result of sqrt(-4)=', sqrt(-4))
console.log()
console.log('1) NUMBER SQRT')
console.log(`1.1) REFLECTED TYPE: "${Specifications.numbers.sqrt.reflectedType}"`)
console.log(
'1.2) PARSED TYPE:',
inspect(
parseReflectedType('sqrt', Specifications.numbers.sqrt.reflectedType),
{ depth: null, colors: true }))
console.log()
console.log('2) GENERIC SQUARE')
console.log(`1.1) REFLECTED TYPE: "${Specifications.generic.square.reflectedType}"`)
console.log('2.2) PARSED TYPE:', inspect(parseReflectedType('square', Specifications.generic.square.reflectedType), { depth: null, colors: true }))
console.log()
console.log('3) COMPLEX SQRT')
console.log(`1.1) REFLECTED TYPE: "${Specifications.complex.sqrt.reflectedType}"`)
console.log('3.2) PARSED TYPE:', inspect(parseReflectedType('sqrt', Specifications.complex.sqrt.reflectedType), { depth: null, colors: true }))

View File

@ -1,3 +1,5 @@
import {$$typeToString} from 'ts-macros'
/*****
* Every typocomath type has some associated types; they need
* to be published in the following interface. The key is the
@ -73,7 +75,16 @@ export interface Signatures<T> {
type SignatureKey<T> = keyof Signatures<T>
export type Signature<Name extends SignatureKey<T>, T> = Signatures<T>[Name]
export type Returns<Name extends SignatureKey<T>, T> = ReturnType<Signatures<T>[Name]>
export type Dependencies<Name extends SignatureKey<T>, T> = {[K in Name]: Signature<K, T>}
export type Returns<Name extends SignatureKey<T>, T> =
ReturnType<Signatures<T>[Name]>
type Deps<T> = T extends unknown ? { [K in keyof T]: T[K] } : never;
export type Dependencies<Name extends SignatureKey<T>, T> =
Deps<{[K in Name]: Signature<K, T>}>
export type AliasOf<Name extends string, T> = T & {aliasOf?: Name}
// For defining implementations with type reflection
export function $reflect<ImplTuple>(tup: ImplTuple) {
+[[tup], <T>(elt: T) =>
elt.reflectedType = $$typeToString!<T>(true, false, true)]
}

View File

@ -1,25 +1,35 @@
import type {configDependency} from '../core/Config.js'
import type {Dependencies, Signature} from '../interfaces/type.js'
import {$reflect} from '../interfaces/type.js'
export const add: Signature<'add', number> = (a, b) => a + b
export const unaryMinus: Signature<'unaryMinus', number> = a => -a
export const conj: Signature<'conj', number> = a => a
export const subtract: Signature<'subtract', number> = (a, b) => a - b
export const multiply: Signature<'multiply', number> = (a, b) => a * b
export const absquare: Signature<'absquare', number> = a => a * a
export const reciprocal: Signature<'reciprocal', number> = a => 1 / a
export const divide: Signature<'divide', number> = (a, b) => a / b
export const add = (): Signature<'add', number> => (a, b) => a + b
const unaMinus = (a: number) => -a
export const unaryMinus = (): Signature<'unaryMinus', number> => unaMinus
export const conj = (): Signature<'conj', number> => a => a
export const subtract = (): Signature<'subtract', number> => (a, b) => a - b
export const multiply = (): Signature<'multiply', number> => (a, b) => a * b
export const absquare = (): Signature<'absquare', number> => a => a * a
export const reciprocal = (): Signature<'reciprocal', number> => a => 1 / a
export const divide = (): Signature<'divide', number> => (a, b) => a / b
const basicSqrt = a => isNaN(a) ? NaN : Math.sqrt(a)
export const conservativeSqrt: Signature<'conservativeSqrt', number> = basicSqrt
const basicSqrt = (a: number) => isNaN(a) ? NaN : Math.sqrt(a)
export const conservativeSqrt = (): Signature<'conservativeSqrt', number> =>
basicSqrt
export const sqrt =
(dep: configDependency & Dependencies<'complex', number>):
Signature<'sqrt', number> => {
if (dep.config.predictable || !dep.complex) return basicSqrt
return a => {
if (isNaN(a)) return NaN
if (a >= 0) return Math.sqrt(a)
return dep.complex(0, Math.sqrt(unaryMinus(a)))
}
(dep: configDependency
& Dependencies<'complex', number>): Signature<'sqrt', number> => {
if (dep.config.predictable || !dep.complex) {
return basicSqrt
}
return a => {
if (isNaN(a)) return NaN
if (a >= 0) return Math.sqrt(a)
return dep.complex(0, Math.sqrt(unaMinus(a)))
}
}
$reflect!([
add, unaryMinus, conj, subtract, multiply, absquare, reciprocal, divide,
conservativeSqrt, sqrt
])

View File

@ -1,2 +1,4 @@
export * from './type.js'
export * from './arithmetic.js'
export * from './predicate.js'
export * from './relational.js'

View File

@ -1,4 +1,7 @@
import type {Signature} from '../interfaces/type.js'
import {$reflect} from '../interfaces/type.js'
export const isReal: Signature<'isReal', number> = (a) => true
export const isSquare: Signature<'isSquare', number> = (a) => a >= 0
export const isReal = (): Signature<'isReal', number> => (a) => true
export const isSquare = (): Signature<'isSquare', number> => (a) => a >= 0
$reflect!([isReal, isSquare])

View File

@ -1,5 +1,6 @@
import {configDependency} from '../core/Config.js'
import {Signature} from '../interfaces/type.js'
import {$reflect} from '../interfaces/type.js'
const DBL_EPSILON = Number.EPSILON || 2.2204460492503130808472633361816E-16
@ -19,3 +20,4 @@ export const equal =
return false
}
$reflect!([equal])

View File

@ -1,4 +1,5 @@
import type { Signature } from '../interfaces/type.js'
import {$reflect} from '../interfaces/type.js'
export const number_type = {
name: 'number', // just until we have reflection to tell us
@ -20,7 +21,9 @@ declare module "../interfaces/type" {
}
// I don't like the redundancy of repeating 'zero'; any way to eliminate that?
export const zero: Signature<'zero', number> = (a) => 0
export const one: Signature<'one', number> = (a) => 1
export const nan: Signature<'nan', number> = (a) => NaN
export const re: Signature<'re', number> = (a) => a
export const zero = (): Signature<'zero', number> => (a) => 0
export const one = (): Signature<'one', number> => (a) => 1
export const nan = (): Signature<'nan', number> => (a) => NaN
export const re = (): Signature<'re', number> => (a) => a
$reflect!([zero, one, nan, re])

View File

@ -1,8 +1,12 @@
{
"compilerOptions": {
"target": "ES2022",
"target": "esnext",
"rootDir": "./src",
"outDir": "./build",
"moduleResolution": "nodenext"
"moduleResolution": "nodenext",
"plugins": [ {
"transform": "ts-macros/dist/type-resolve",
"transformProgram": true
} ]
}
}