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9 Commits

Author SHA1 Message Date
6bfd06cafb feat: extract generic parameter from the reflectedType (see #18) 2023-10-18 15:22:21 +02:00
0cdc9aba78 chore: fix typo in type definition of FunctionDef 2023-10-18 15:11:54 +02:00
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
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
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
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
f06943ba1a chore: Update to latest TypeScript and make sure instructions work 2023-08-18 10:36:11 -07:00
cc1e66c054 Declare implementations and dependencies via standard interfaces for operations (#8)
Adds a new subdirectory `interfaces` where standard interfaces
  are defined. Additional interfaces for a given operation can
  be added with an `AliasOf` type operator. Provides type
  operators that give the return type, full function type, and
  the type of a dependency on, a given operator.

  Resolves #6.

Co-authored-by: Glen Whitney <glen@studioinfinity.org>
Co-authored-by: Jos de Jong <wjosdejong@gmail.com>
Reviewed-on: #8
2023-01-22 01:34:57 +00:00
3fa216d1f4 refactor: Major simplification in providing implementation types (#2)
This PR is an effort to address #1. It removes all boilerplate
  from individual implementation files, and moves it into
  a small, fixed section in the single `all.ts` module for each
  type that collects up all of the implementations relating
  to that type.

Co-authored-by: Glen Whitney <glen@studioinfinity.org>
Reviewed-on: #2
2022-12-19 23:50:24 +00:00
30 changed files with 1695 additions and 190 deletions

5
.gitignore vendored
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@ -2,7 +2,7 @@
*~
# Typescript
# emitted code
obj
build
# ---> Node
# Logs
@ -129,6 +129,9 @@ dist
# Stores VSCode versions used for testing VSCode extensions
.vscode-test
# Webstorm
.idea
# yarn v2
.yarn/cache
.yarn/unplugged

1
.npmrc Normal file
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@ -0,0 +1 @@
shell-emulator=true

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@ -1,3 +1,14 @@
# typocomath
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.
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.
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.

1
etc/package.json Normal file
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@ -0,0 +1 @@
{"type": "module"}

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@ -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',
},
}

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@ -1,15 +1,920 @@
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View File

@ -1,8 +1,6 @@
import {ForType} from '../core/Dispatcher.js'
import * as Complex from './native.js'
import * as complex from './arithmetic.js'
export { complex }
export {Complex}
declare module "../core/Dispatcher" {
interface ImplementationTypes extends ForType<'Complex', typeof Complex> {}
}

View File

@ -1,88 +1,104 @@
import {Complex, complex_binary} from './type.js'
import {Dependency} from '../core/Dispatcher.js'
import {Complex} from './type.js'
import type {
Dependencies, Signature, Returns, RealType, AliasOf
} from '../interfaces/type.js'
import {$reflect} from '../interfaces/type.js'
export const add = <T>(dep: Dependency<'add', [T,T]>) =>
(w: Complex<T>, z: Complex<T>) =>
complex_binary(dep.add(w.re, z.re), dep.add(w.im, z.im))
declare module "../interfaces/type" {
interface Signatures<T> {
addReal: AliasOf<'add', (a: T, b: RealType<T>) => T>
divideReal: AliasOf<'divide', (a: T, b: RealType<T>) => T>
}
}
export const unaryMinus = <T>(dep: Dependency<'unaryMinus', [T]>) =>
(z: Complex<T>) =>
complex_binary(dep.unaryMinus(z.re), dep.unaryMinus(z.im))
export const add =
<T>(dep: Dependencies<'add' | 'complex', T>): Signature<'add', Complex<T>> =>
(w, z) => dep.complex(dep.add(w.re, z.re), dep.add(w.im, z.im))
export const conj = <T>(dep: Dependency<'unaryMinus', [T]>) =>
(z: Complex<T>) =>
complex_binary(z.re, dep.unaryMinus(z.im))
export const addReal =
<T>(dep: Dependencies<'addReal' | 'complex', T>):
Signature<'addReal', Complex<T>> =>
(z, r) => dep.complex(dep.addReal(z.re, r), z.im)
export const subtract = <T>(dep: Dependency<'subtract', [T,T]>) =>
(w: Complex<T>, z: Complex<T>) =>
complex_binary(dep.subtract(w.re, z.re), dep.subtract(w.im, z.im))
export const unaryMinus =
<T>(dep: Dependencies<'unaryMinus' | 'complex', T>):
Signature<'unaryMinus', Complex<T>> =>
z => dep.complex(dep.unaryMinus(z.re), dep.unaryMinus(z.im))
export const conj =
<T>(dep: Dependencies<'unaryMinus' | 'conj' | 'complex', T>):
Signature<'conj', Complex<T>> =>
z => dep.complex(dep.conj(z.re), dep.unaryMinus(z.im))
export const subtract =
<T>(dep: Dependencies<'subtract' | 'complex', T>):
Signature<'subtract', Complex<T>> =>
(w, z) => dep.complex(dep.subtract(w.re, z.re), dep.subtract(w.im, z.im))
export const multiply =
<T>(dep: Dependency<'add', [T,T]>
& Dependency<'subtract', [T,T]>
& Dependency<'multiply', [T,T]>
& Dependency<'conj', [T]>) =>
(w: Complex<T>, z: Complex<T>) => {
<T>(dep: Dependencies<
'add' | 'subtract' | 'multiply' | 'conj' | 'complex', T>):
Signature<'multiply', Complex<T>> =>
(w, z) => {
const mult = dep.multiply
const realpart = dep.subtract(
mult( w.re, z.re), mult(dep.conj(w.im), z.im))
const imagpart = dep.add(
mult(dep.conj(w.re), z.im), mult( w.im, z.re))
return complex_binary(realpart, imagpart)
return dep.complex(realpart, imagpart)
}
declare module "../core/Dispatcher" {
interface ImplementationTypes {
add_Complex: typeof add
multiply_Complex: typeof multiply
}
}
type AbsquareReturns<T> = T extends Complex<infer U> ? AbsquareReturns<U> : T
export const absquare =
<T>(dep: Dependency<'absquare', [T]>
& Dependency<'add', [AbsquareReturns<T>, AbsquareReturns<T>]>) =>
(z: Complex<T>) => dep.add(dep.absquare(z.re), dep.absquare(z.im))
<T>(dep: Dependencies<'absquare', T>
& Dependencies<'add', Returns<'absquare', T>>):
Signature<'absquare', Complex<T>> =>
z => dep.add(dep.absquare(z.re), dep.absquare(z.im))
export const divideReal =
<T>(dep: Dependencies<'divideReal' | 'complex', T>):
Signature<'divideReal', Complex<T>> =>
(z, r) => dep.complex(dep.divideReal(z.re, r), dep.divideReal(z.im, r))
export const reciprocal =
<T>(dep: Dependency<'unaryMinus', [T]>
& Dependency<'absquare', [Complex<T>]>
& Dependency<'divide', [T, T]>) =>
(z: Complex<T>) => {
const denom = dep.absquare(z)
return complex_binary(
dep.divide(z.re, denom), dep.divide(dep.unaryMinus(z.im), denom))
}
<T>(dep: Dependencies<'conj' | 'absquare' | 'divideReal', Complex<T>>):
Signature<'reciprocal', Complex<T>> =>
z => dep.divideReal(dep.conj(z), dep.absquare(z))
export const divide =
<T>(dep: Dependency<'multiply', [Complex<T>, Complex<T>]>
& Dependency<'reciprocal', [Complex<T>]>) =>
(w: Complex<T>, z: Complex<T>) => dep.multiply(w, dep.reciprocal(z))
<T>(dep: Dependencies<'multiply' | 'reciprocal', Complex<T>>):
Signature<'divide', Complex<T>> =>
(w, z) => dep.multiply(w, dep.reciprocal(z))
// The dependencies are slightly tricky here, because there are three types
// involved: Complex<T>, T, and RealType<T>, all of which might be different,
// and we have to get it straight which operations we need on each type, and
// in fact, we need `addReal` on both T and Complex<T>, hence the dependency
// with a custom name, not generated via Dependencies<...>
export const sqrt =
<T>(dep: Dependency<'equal', [T,T]>
& Dependency<'add', [T,T]>
& Dependency<'isSquare', [T]>
& Dependency<'zero', [T]>
& Dependency<'sqrt', [T]>
& Dependency<'absquare', [Complex<T>]>
& Dependency<'one', [T]>
& Dependency<'divide', [T,T]>
& Dependency<'subtract', [T,T]>
& Dependency<'unaryMinus', [T]>
) =>
(z: Complex<T>) => {
if (dep.equal(z.re, dep.add(z.re, z.im)) && dep.isSquare(z.re)) {
// imaginary part negligible, just take square root of real part
return complex_binary(dep.sqrt(z.re), dep.zero(z.im))
<T>(dep: Dependencies<'equal' | 'conservativeSqrt' | 'unaryMinus', RealType<T>>
& Dependencies<'zero' | 'complex', T>
& Dependencies<'absquare' | 're' | 'divideReal', Complex<T>>
& {
addTR: Signature<'addReal', T>,
addRR: Signature<'add', RealType<T>>,
addCR: Signature<'addReal', Complex<T>>
}): Signature<'sqrt', Complex<T>> =>
z => {
const myabs = dep.conservativeSqrt(dep.absquare(z))
const r = dep.re(z)
const negr = dep.unaryMinus(r)
if (dep.equal(myabs, negr)) {
// pure imaginary square root; z.im already zero
return dep.complex(
dep.zero(z.re), dep.addTR(z.im, dep.conservativeSqrt(negr)))
}
const myabs = dep.sqrt(dep.absquare(z))
const real1 = dep.one(z.re)
const real2 = dep.add(real1, real1)
const realQuot = dep.divide(dep.add(myabs, z.re), real2)
const imagQuot = dep.divide(dep.subtract(myabs, z.re), real2)
let realPart = dep.sqrt(realQuot)
if (!(dep.isSquare(z.im))) realPart = dep.unaryMinus(realPart)
return complex_binary(realPart, dep.sqrt(imagQuot))
const num = dep.addCR(z, myabs)
const denomsq = dep.addRR(dep.addRR(myabs, myabs), dep.addRR(r, r))
const denom = dep.conservativeSqrt(denomsq)
return dep.divideReal(num, denom)
}
$reflect!([
add, addReal, unaryMinus, conj, subtract, multiply, absquare, divideReal,
reciprocal, divide, sqrt
])

13
src/Complex/predicate.ts Normal file
View File

@ -0,0 +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<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 {Dependency} from '../core/Dispatcher.js'
import {Dependencies, Signature} from '../interfaces/type.js'
import {$reflect} from '../interfaces/type.js'
export const equal = <T>(dep: Dependency<'equal', [T,T]>) =>
(w: Complex<T>, z: Complex<T>) =>
dep.equal(w.re, z.re) && dep.equal(w.im, z.im)
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

@ -1,28 +1,67 @@
import {joinTypes, typeOfDependency, Dependency} from '../core/Dispatcher.js'
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 type Complex<T> = { re: T; im: T; }
export const Complex_type = {
test: <T>(dep: {testT: (z: unknown) => z is T}) =>
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' && 're' in z && 'im' in z
&& dep.testT(z.re) && dep.testT(z.im),
typeof z === 'object' && z != null && 're' in z && 'im' in z
&& dep.testT(z['re']) && dep.testT(z['im']),
infer: (dep: typeOfDependency) =>
(z: Complex<unknown>) => joinTypes(dep.typeOf(z.re), dep.typeOf(z.im)),
from: {
T: <T>(dep: Dependency<'zero', [T]>) => (t: T) =>
({re: t, im: dep.zero(t)}),
Complex: <U,T>(dep: {convert: (from: U) => T}) =>
(z: Complex<U>) => ({re: dep.convert(z.re), im: dep.convert(z.im)})
T: <T>(dep: Dependencies<'zero', T>) => (t: T) =>
({ re: t, im: dep.zero(t) }),
Complex: <U, T>(dep: { convert: (from: U) => T }) =>
(z: Complex<U>) => ({ re: dep.convert(z.re), im: dep.convert(z.im) })
}
}
export const complex_unary = <T>(dep: Dependency<'zero', [T]>) =>
(t: T) => ({re: t, im: dep.zero(t)})
export const complex_binary = <T>(t: T, u: T) => ({re: t, im: u})
declare module "../interfaces/type" {
interface AssociatedTypes<T> {
Complex: T extends Complex<infer R> ? {
type: Complex<R>
zero: Complex<ZeroType<R>>
one: Complex<OneType<R> | ZeroType<R>>
nan: Complex<NaNType<R>>
real: RealType<R>
} : never
}
export const zero = <T>(dep: Dependency<'zero', [T]>) => (z: Complex<T>) =>
complex_binary(dep.zero(z.re), dep.zero(z.im))
export const one = <T>(dep: Dependency<'one', [T]> & Dependency<'zero', [T]>) =>
(z: Complex<T>) =>
complex_binary(dep.one(z.re), dep.zero(z.im))
interface Signatures<T> {
complex: ((re: T) => Complex<T>) | ((re: T, im: T) => Complex<T>)
}
}
export const complex =
<T>(dep: Dependencies<'zero', T>): Signature<'complex', T> =>
(a, b) => ({re: a, im: b || dep.zero(a)})
export const zero =
<T>(dep: Dependencies<'zero', T>
& Dependencies<'complex', Returns<'zero', T>>):
Signature<'zero', Complex<T>> =>
z => dep.complex(dep.zero(z.re), dep.zero(z.im))
export const one =
<T>(dep: Dependencies<'one' | 'zero', T>
& Dependencies<'complex', Returns<'one' | 'zero', T>>):
Signature<'one', Complex<T>> =>
z => dep.complex(dep.one(z.re), dep.zero(z.im))
export const nan =
<T>(dep: Dependencies<'nan', T>
& Dependencies<'complex', Returns<'nan', T>>):
Signature<'nan', Complex<T>> =>
z => dep.complex(dep.nan(z.re), dep.nan(z.im))
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

@ -1,2 +1,3 @@
export * from './numbers/all.js'
export * from './Complex/all.js'
export * from './generic/all.js'

View File

@ -5,52 +5,29 @@
* for specific types (including their own).
*/
import {parseReflectedType, ImplementationDef} from './parseReflectedType.js'
// First helper types and functions for the Dispatcher
type TypeName = string
type Parameter = TypeName
type Signature = Parameter[]
type DependenciesType = Record<string, Function>
export interface ImplementationTypes {}
// A "canned" dependency for a builtin function:
export type typeOfDependency = {typeOf: (x: unknown) => TypeName}
// Helper for collecting implementations
// (Really just suffixes the type name onto the keys of exports)
export type ForType<T extends string, Exports> = keyof Exports extends string
? {[K in keyof Exports as `${K}_${T}`]: Exports[K]}
: never
// Utility needed in type definitions
//dummy implementation for now
export function joinTypes(a: TypeName, b: TypeName) {
if (a === b) return a
return 'any'
}
/**
* Build up to Dependency type lookup
*/
type DependenciesType = Record<string, Function>
type FinalShape<FuncType> =
FuncType extends (arg: DependenciesType) => Function
? ReturnType<FuncType> : FuncType
type BeginsWith<Name extends string> = `${Name}${string}`
type DependencyTypes<Ob, Name extends string, Params extends unknown[]> =
{[K in keyof Ob]: K extends BeginsWith<Name>
? FinalShape<Ob[K]> extends (...args: Params) => any
? FinalShape<Ob[K]>
: never
: never}
export type Dependency<Name extends string, Params extends unknown[]> =
{[N in Name]:
DependencyTypes<ImplementationTypes, N, Params>[keyof ImplementationTypes]}
// 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),
@ -64,38 +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)
}
}
}

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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
}

1
src/generic/all.ts Normal file
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export * as generic from './native.js'

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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])

2
src/generic/native.ts Normal file
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@ -0,0 +1,2 @@
export * from './arithmetic.js'
export * from './relational.js'

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@ -0,0 +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])

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@ -1,4 +1,53 @@
import {inspect} from 'node:util'
import {Dispatcher} from './core/Dispatcher.js'
import * as Specifications from './all.js'
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
})
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)
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 }))

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import type {Complex} from '../Complex/type.js'
import type {RealType} from './type.js'
declare module "./type" {
interface Signatures<T> {
add: (a: T, b: T) => T
unaryMinus: (a: T) => T
conj: (a: T) => T
subtract: (a: T, b: T) => T
multiply: (a: T, b: T) => T
square: (a: T) => T
absquare: (a: T) => RealType<T>
reciprocal: (a: T) => T
divide: (a: T, b: T) => T
conservativeSqrt: (a: T) => T
sqrt: (a: T)=> T extends Complex<unknown> ? T : T | Complex<T>
}
}

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@ -0,0 +1,10 @@
// Warning: a module must have something besides just a "declare module"
// section; otherwise it is ignored.
export type UnaryPredicate<T> = (a: T) => boolean
declare module "./type" {
interface Signatures<T> {
isReal: (a: T) => boolean
isSquare: (a: T) => boolean
}
}

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@ -0,0 +1,9 @@
// Warning: a module must have something besides just a "declare module"
// section; otherwise it is ignored.
export type BinaryPredicate<T> = (a: T, b: T) => T
declare module "./type" {
interface Signatures<T> {
equal: (a: T, b: T) => boolean
unequal: (a: T, b: T) => boolean
}
}

90
src/interfaces/type.ts Normal file
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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
* name of the type, and within the subinterface for that key,
* the type of the 'type' property is the actual TypeScript type
* we are associating the other properties to. Note the interface
* is generic with one parameter, corresponding to the fact that
* typocomath currently only allows generic types with a single
* generic parameter. This way, AssociatedTypes<SubType> can give the
* associated types for a generic type instantiated with SubType.
* That's not necessary for the 'undefined' type (or if you look in the
* `numbers` subdirectory, the 'number' type) or any concrete type,
* 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
zero: undefined
one: undefined
nan: undefined
real: undefined
}
}
type AssociatedTypeNames = keyof AssociatedTypes<unknown>['undefined']
type ALookup<T, Name extends AssociatedTypeNames> = ValueIntersectionByKeyUnion<{
[K in 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
export type OneType<T> = ALookup<T, 'one'> & T
// But I believe 'nan' really might not be, like I think we will have to use
// 'undefined' for the nan of 'bigint', as it has nothing at all like NaN,
// so don't force it:
export type NaNType<T> = ALookup<T, 'nan'>
export type RealType<T> = ALookup<T, 'real'>
/*****
* The global signature patterns for all operations need to be published in the
* following interface. Each key is the name of an operation (but note that
* the Dispatcher will automatically merge operations that have the same
* name when the first underscore `_` and everything thereafter is stripped).
* The type of each key should be an interface with two properties: 'params'
* whose type is the type of the parameter list for the operation, and
* 'returns' whose type is the return type of the operation on those
* parameters. These types are generic in a parameter type T which should
* be interpreted as the type that the operation is supposed to "primarily"
* operate on, although note that some of the parameters and/or return types
* may depend on T rather than be exactly T.
* So note that the example 're' below provides essentially the same
* information that e.g.
* `type ReOp<T> = (t: T) => RealType<T>`
* would, but in a way that is much easier to manipulate in TypeScript,
* and it records the name of the operation as 're' also by virtue of the
* key 're' in the interface.
****/
export interface Signatures<T> {
zero: (a: T) => ZeroType<T>
one: (a: T) => OneType<T>
// nan needs to be able to operate on its own output for everything
// else to compile. That's why its parameter type is widened:
nan: (a: T | NaNType<T>) => NaNType<T>
re: (a: T) => RealType<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]>
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)]
}

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@ -1,8 +1,3 @@
import {ForType} from '../core/Dispatcher.js'
import * as numbers from './native.js'
export {numbers}
declare module "../core/Dispatcher" {
interface ImplementationTypes extends ForType<'numbers', typeof numbers> {}
}

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@ -1,23 +1,35 @@
import {configDependency} from '../core/Config.js'
import {Dependency} from '../core/Dispatcher.js'
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
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: number) => isNaN(a) ? NaN : Math.sqrt(a)
export const conservativeSqrt = (): Signature<'conservativeSqrt', number> =>
basicSqrt
export const add = (a: number, b: number) => a + b
export const unaryMinus = (a: number) => -a
export const conj = (a: number) => a
export const subtract = (a: number, b: number) => a - b
export const multiply = (a: number, b: number) => a * b
export const absquare = (a: number) => a * a
export const reciprocal = (a: number) => 1 / a
export const divide = (a: number, b: number) => a / b
export const sqrt =
(dep: configDependency
& Dependency<'complex', [number, number]>) => {
if (dep.config.predictable || !dep.complex) {
return (a: number) => isNaN(a) ? NaN : Math.sqrt(a)
}
return (a: number) => {
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
])

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

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@ -1 +1,7 @@
export const isSquare = (a:number) => a >=0
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
$reflect!([isReal, isSquare])

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@ -1,18 +1,23 @@
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
export const equal = (dep: configDependency) => (x: number, y: number) => {
const eps = dep.config.epsilon
if (eps === null || eps === undefined) return x === y
if (x === y) return true
if (isNaN(x) || isNaN(y)) return false
export const equal =
(dep: configDependency): Signature<'equal', number> =>
(x, y) => {
const eps = dep.config.epsilon
if (eps === null || eps === undefined) return x === y
if (x === y) return true
if (isNaN(x) || isNaN(y)) return false
if (isFinite(x) && isFinite(y)) {
const diff = Math.abs(x - y)
if (diff < DBL_EPSILON) return true
return diff <= Math.max(Math.abs(x), Math.abs(y)) * eps
if (isFinite(x) && isFinite(y)) {
const diff = Math.abs(x - y)
if (diff < DBL_EPSILON) return true
return diff <= Math.max(Math.abs(x), Math.abs(y)) * eps
}
return false
}
return false
}
$reflect!([equal])

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@ -1,8 +1,29 @@
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 => +s}
from: { string: (s: string) => +s }
}
export const zero = (a: number) => 0
export const one = (a: number) => 0
declare module "../interfaces/type" {
interface AssociatedTypes<T> {
number: {
type: number
zero: 0
one: 1
nan: typeof NaN
real: number
}
}
}
// 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
$reflect!([zero, one, nan, re])

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@ -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
} ]
}
}