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