feat: extract generic parameter from the reflectedType (see #18 )

chore: fix typo in type definition of `FunctionDef`
feat: Runtime type reflection (#17 )
2023-10-18 15:22:21 +02:00 · 2023-10-18 15:11:54 +02:00 · 2023-10-17 22:02:18 +00:00 · 2023-08-26 02:15:59 +00:00 · 2023-08-23 16:52:16 +00:00 · 2023-08-23 03:20:10 +00:00
22 changed files with 1375 additions and 71 deletions
--- a/.gitignore
+++ b/.gitignore
@ -2,7 +2,7 @@
 *~
 # Typescript
 # emitted code
-obj
+build

 # ---> Node
 # Logs
--- a/.npmrc
+++ b/.npmrc
@ -0,0 +1 @@
+shell-emulator=true
--- a/README.md
+++ b/README.md
@ -2,9 +2,13 @@

 A final (?) prototype for a refactor of mathjs, culminating the picomath, pocomath, typomath series. Provides an extensible core with "fuzzy" types for its operations, that can at any time generate exact .d.ts file for its current state.

-To build and run the prototype, run:

-```
-npx tsc
-node obj
-```
+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.
--- a/etc/package.json
+++ b/etc/package.json
@ -0,0 +1 @@
+{"type": "module"}
--- a/package.json5
+++ b/package.json5
@ -1,11 +1,16 @@
 {
   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: '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: [
      'math',
      'algebra',
@ -18,6 +23,13 @@
      url: 'https://code.studioinfinity.org/glen/typocomath.git',
   },
   devDependencies: {
-      typescript: '^4.9.3',
+      '@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',
   },
 }
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@ -1,15 +1,920 @@
-lockfileVersion: 5.4
+lockfileVersion: '6.0'

-specifiers:
-  typescript: ^4.9.3
+settings:
+  autoInstallPeers: true
+  excludeLinksFromLockfile: false

 devDependencies:
-  typescript: 4.9.3
+  '@types/node':
+    specifier: 20.8.4
+    version: 20.8.4
+  cpy-cli:
+    specifier: 5.0.0
+    version: 5.0.0
+  del-cli:
+    specifier: 5.1.0
+    version: 5.1.0
+  mkdirp:
+    specifier: 3.0.1
+    version: 3.0.1
+  source-map:
+    specifier: 0.7.4
+    version: 0.7.4
+  ts-macros:
+    specifier: 2.6.0
+    version: 2.6.0(typescript@5.1.6)
+  ts-patch:
+    specifier: 3.0.2
+    version: 3.0.2
+  typescript:
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+    version: 5.1.6

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+      yargs-parser: 21.1.1
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+    dependencies:
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+      spdx-expression-parse: 3.0.1
+    dev: true
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+    dependencies:
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+    dev: true
+
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+    resolution: {integrity: sha512-y11nGElTIV+CT3Zv9t7VKl+Q3hTQoT9a1Qzezhhl6Rp21gJ/IVTW7Z3y9EWXhuUBC2Shnf+DX0antecpAwSP8w==}
+    engines: {node: '>=10'}
+    dev: true
+
+  /yargs-parser@21.1.1:
+    resolution: {integrity: sha512-tVpsJW7DdjecAiFpbIB1e3qxIQsE6NoPc5/eTdrbbIC4h0LVsWhnoa3g+m2HclBIujHzsxZ4VJVA+GUuc2/LBw==}
+    engines: {node: '>=12'}
+    dev: true
+
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+    resolution: {integrity: sha512-rVksvsnNCdJ/ohGc6xgPwyN8eheCxsiLM8mxuE/t/mOVqJewPuO1miLpTHQiRgTKCLexL4MeAFVagts7HmNZ2Q==}
+    engines: {node: '>=10'}
+    dev: true
--- a/src/Complex/arithmetic.ts
+++ b/src/Complex/arithmetic.ts
@ -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
+$reflect!([
+   add, addReal, unaryMinus, conj, subtract, multiply, absquare, divideReal,
+   reciprocal, divide, sqrt
+])
--- a/src/Complex/predicate.ts
+++ b/src/Complex/predicate.ts
@ -1,9 +1,13 @@
 import {Complex} from './type.js'
 import type {Dependencies, Signature} from '../interfaces/type.js'
+import {$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
+
+$reflect!([isReal, isSquare])
--- a/src/Complex/relational.ts
+++ b/src/Complex/relational.ts
@ -1,6 +1,8 @@
 import {Complex} from './type.js'
 import {Dependencies, Signature} from '../interfaces/type.js'
+import {$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)
+$reflect!([equal])
--- a/src/Complex/type.ts
+++ b/src/Complex/type.ts
@ -2,10 +2,12 @@ import {joinTypes, typeOfDependency} from '../core/Dispatcher.js'
 import type {
   ZeroType, OneType, NaNType, Dependencies, Signature, Returns
 } from '../interfaces/type.js'
+import {$reflect} from '../interfaces/type.js'

 export type Complex<T> = { re: T; im: T; }

 export const Complex_type = {
+   name: 'Complex', // just until we have reflection to tell us
   test: <T>(dep: { testT: (z: unknown) => z is T }) =>
      (z: unknown): z is Complex<T> =>
         typeof z === 'object' && z != null && 're' in z && 'im' in z
@ -61,3 +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])
--- a/src/core/Dispatcher.ts
+++ b/src/core/Dispatcher.ts
@ -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
@ -25,6 +27,7 @@ export function joinTypes(a: TypeName, b: TypeName) {
 // Now types used in the Dispatcher class itself

 type TypeSpecification = {
+   name: string, // just until we get reflection, then we can remove this property
   before?: TypeName[],
   test: ((x: unknown) => boolean)
      | ((d: DependenciesType) => (x: unknown) => boolean),
@ -38,38 +41,44 @@ 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)
         for (const identifier in collection[key]) {
-            console.log('Handling', key, ':', identifier)
-            const parts = identifier.split('_')
-            if (parts[parts.length - 1] === 'type') {
-               parts.pop()
-               const name = parts.join('_')
-               this.installType(
-                  name, collection[key][identifier] as TypeSpecification)
+            const item = collection[key][identifier]
+            if (typeof item === 'function') {
+               implementations.push([key, identifier, item])
            } else {
-               const name = parts[0]
-               this.installSpecification(
-                  name, ['dunno'], 'unsure', {},
-                  collection[key][identifier] as Function)
+               console.log('Handling type', key, ':', identifier)
+               this.installType(
+                  item.name, collection[key][identifier] as TypeSpecification)
            }
         }
      }
+      for (const trio of implementations) {
+         const [k, id, imp] = trio
+         console.log('Handling implementation', id, 'from', k)
+         this.installSpecification(
+            id, parseReflectedType(id, imp.reflectedType), imp)
+      }
   }
 }
--- a/src/core/parseReflectedType.ts
+++ b/src/core/parseReflectedType.ts
@ -0,0 +1,279 @@
+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>
+  genericParameter: string | null
+}
+
+/**
+ * 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)
+
+  // extract the generic parameter like '<T>' at the start of the type
+  const genericParameter = factoryArgs.trim().startsWith('<')
+    ? findBlockContents(factoryArgs, '<', '>')?.innerText || null
+    : null
+
+  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 "${depArgBlock}"`)
+      }
+    })
+    .flatMap(parseDependencies)
+
+  const dependencies: Record<string, FunctionDef> = groupBy(deps, 'name')
+
+  return {fn, dependencies, genericParameter }
+}
+
+function parseDependencies(deps: string): FunctionDef[] {
+  if (deps === 'configDependency') {
+    return [{name: 'config', signatures: [{args: [], returns: 'Config'}]}]
+  }
+  const inner = findBlockContents(deps, '{', '}').innerText
+  return split(inner, ';')
+    .map(trim)
+    .filter(notEmpty)
+    .map(parseDependency)
+}
+
+// parse a dependency like "complex: ((re: number) => Complex<number>) | ((re: number, im: number) => Complex<number>)"
+function parseDependency(dep: string): FunctionDef {
+  const [name, def] = split(dep, ':').map(trim)
+
+  return parseAlias(name, def)
+}
+
+// Parse a possibly aliased function
+function parseAlias(name: string, alias: string): FunctionDef {
+  const { aliasOf, innerSignature } = parseAliasOf(alias)
+
+  return { name, signatures: parseSignatures(innerSignature), aliasOf }
+}
+
+// parse function signatures like ((re: number) => Complex<number>) | ((re: number, im: number) => Complex<number>)
+// But also have to succeed on (a: number) => number | Complex<number>
+// That's why we only split on an alternation bar `|` that's followed by
+// a parenthesis; that way we avoid splitting a union return type. Note
+// this is not necessarily foolproof, as there could be a return type that
+// is a union with a complicated piece that has to be enclosed in parens;
+// but so far it seems to work in practice.
+function parseSignatures(sigs: string) {
+  return split(sigs, /[|]\s*(?=[(])/)
+    .map(trim)
+    .map(stripParenthesis)
+    .map(signature => {
+      const [argsBlock, returns] = split(signature, '=>').map(trim)
+
+      if (!returns) {
+        throw new SyntaxError(`Failed to find return type in '${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
+}
--- a/src/generic/arithmetic.ts
+++ b/src/generic/arithmetic.ts
@ -1,5 +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') // still fails as desired
+$reflect!([square])
--- a/src/generic/relational.ts
+++ b/src/generic/relational.ts
@ -1,5 +1,7 @@
 import {Dependencies, Signature} from '../interfaces/type.js'
+import {$reflect} from '../interfaces/type.js'

 export const unequal =
   <T>(dep: Dependencies<'equal', T>): Signature<'unequal', T> =>
   (x, y) => !dep.equal(x, y)
+$reflect!([unequal])
--- a/src/index.ts
+++ b/src/index.ts
@ -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 }))
--- a/src/interfaces/type.ts
+++ b/src/interfaces/type.ts
@ -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
@ -13,6 +15,10 @@
 * but that's OK, the generic parameter doesn't hurt in those cases.
 ****/

+type ValueIntersectionByKeyUnion<T,  TKey extends keyof T> = {
+  [P in TKey]: (k: T[P])=>void
+} [TKey] extends ((k: infer I)=>void) ? I : never
+
 export interface AssociatedTypes<T> {
   undefined: {
      type: undefined
@ -24,10 +30,10 @@ export interface AssociatedTypes<T> {
 }

 type AssociatedTypeNames = keyof AssociatedTypes<unknown>['undefined']
-type ALookup<T, Name extends AssociatedTypeNames> = {
+type ALookup<T, Name extends AssociatedTypeNames> = ValueIntersectionByKeyUnion<{
   [K in keyof AssociatedTypes<T>]:
-   T extends AssociatedTypes<T>[K]['type'] ? AssociatedTypes<T>[K][Name] : never
-}[keyof AssociatedTypes<T>]
+   T extends AssociatedTypes<T>[K]['type'] ? AssociatedTypes<T>[K][Name] : unknown},
+   keyof AssociatedTypes<T>>

 // For everything to compile, zero and one must be subtypes of T:
 export type ZeroType<T> = ALookup<T, 'zero'> & T
@ -69,7 +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)]
+}
--- a/src/numbers/arithmetic.ts
+++ b/src/numbers/arithmetic.ts
@ -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)))
+    }
   }
+
+$reflect!([
+  add, unaryMinus, conj, subtract, multiply, absquare, reciprocal, divide,
+  conservativeSqrt, sqrt
+])
--- a/src/numbers/native.ts
+++ b/src/numbers/native.ts
@ -1,2 +1,4 @@
 export * from './type.js'
 export * from './arithmetic.js'
+export * from './predicate.js'
+export * from './relational.js'
--- a/src/numbers/predicate.ts
+++ b/src/numbers/predicate.ts
@ -1,4 +1,7 @@
 import type {Signature} from '../interfaces/type.js'
+import {$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
+
+$reflect!([isReal, isSquare])
--- a/src/numbers/relational.ts
+++ b/src/numbers/relational.ts
@ -1,5 +1,6 @@
 import {configDependency} from '../core/Config.js'
 import {Signature} from '../interfaces/type.js'
+import {$reflect} from '../interfaces/type.js'

 const DBL_EPSILON = Number.EPSILON || 2.2204460492503130808472633361816E-16

@ -19,3 +20,4 @@ export const equal =

      return false
   }
+$reflect!([equal])
--- a/src/numbers/type.ts
+++ b/src/numbers/type.ts
@ -1,6 +1,8 @@
 import type { Signature } from '../interfaces/type.js'
+import {$reflect} from '../interfaces/type.js'

 export const number_type = {
+   name: 'number', // just until we have reflection to tell us
   before: ['Complex'],
   test: (n: unknown): n is number => typeof n === 'number',
   from: { string: (s: string) => +s }
@ -8,7 +10,7 @@ export const number_type = {

 declare module "../interfaces/type" {
   interface AssociatedTypes<T> {
-      numbers: {
+      number: {
         type: number
         zero: 0
         one: 1
@ -19,7 +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])
--- a/tsconfig.json
+++ b/tsconfig.json
@ -1,7 +1,12 @@
 {
    "compilerOptions": {
-        "target": "ES2022",
+        "target": "esnext",
        "rootDir": "./src",
-        "outDir": "./obj"
+        "outDir": "./build",
+        "moduleResolution": "nodenext",
+        "plugins": [ {
+            "transform": "ts-macros/dist/type-resolve",
+            "transformProgram": true
+        } ]
    }
 }
Author	SHA1	Message	Date
Jos de Jong	6bfd06cafb	feat: extract generic parameter from the reflectedType (see #18 )	2023-10-18 15:22:21 +02:00
Jos de Jong	0cdc9aba78	chore: fix typo in type definition of `FunctionDef`	2023-10-18 15:11:54 +02:00
Glen Whitney	40146c2f48	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>	2023-10-17 22:02:18 +00:00
Glen Whitney	180e772dab	fix: Add types first and distinguish them semantically. (#15 ) Rather than via some format on the name of the identifier, this commit changes the construction of Dispatcher to assume that functions are implementations and other objects are type specifiers. Also installs all types first, before any implementations. Resolves #3. Resolves #12. Reviewed-on: #15 Co-authored-by: Glen Whitney <glen@studioinfinity.org> Co-committed-by: Glen Whitney <glen@studioinfinity.org>	2023-08-26 02:15:59 +00:00
Glen Whitney	327a9385ed	fix: Use intersection of matching types in AssociatedTypes<> lookup (#14 ) Resolves #11. Reviewed-on: #14 Co-authored-by: Glen Whitney <glen@studioinfinity.org> Co-committed-by: Glen Whitney <glen@studioinfinity.org>	2023-08-23 16:52:16 +00:00
Glen Whitney	76e144bc2a	feat: add build script (#13 ) This commit adds pnpm scripts for compiling and running the typocomath package, and a convenience script `pnpm go` that does both in succession. It also configure pnpm to use a shell emulator so that it should work on Windows as well. Finally, it changes the directory for object files from obj to build. Resolves #9. Reviewed-on: #13 Co-authored-by: Glen Whitney <glen@studioinfinity.org> Co-committed-by: Glen Whitney <glen@studioinfinity.org>	2023-08-23 03:20:10 +00:00
Glen Whitney	f06943ba1a	chore: Update to latest TypeScript and make sure instructions work	2023-08-18 10:36:11 -07:00