typocomath/src/numbers/arithmetic.ts

51 lines
1.9 KiB
TypeScript

import {configDependency} from '../core/Config.js'
import {
Dependency, ImpType
} from '../core/Dispatcher.js'
import type {Complex, UnderlyingReal} from '../Complex/type.js'
type UnaryNumber = (a: number) => number
type BinaryNumber = (a: number, b:number) => number
declare module "./type" {
interface NumbersImpTypes {
add: BinaryNumber
unaryMinus: UnaryNumber
conj: UnaryNumber
subtract: BinaryNumber
multiply: BinaryNumber
absquare: UnaryNumber
reciprocal: UnaryNumber
divide: BinaryNumber
conservativeSqrt: UnaryNumber
// Best we can do for sqrt at compile time, since actual return
// type depends on config. Not sure how this will play out
// when we make a number-only bundle, but at least the import type
// above for Complex<> does not lead to any emitted JavaScript.
sqrt: (a: number) => number | Complex<number>
}
}
export const add: ImpType<'add', [number, number]> = (a, b) => a + b
export const unaryMinus: ImpType<'unaryMinus', [number]> = a => -a
export const conj: ImpType<'conj', [number]> = a => a
export const subtract: ImpType<'subtract', [number, number]> = (a, b) => a - b
export const multiply: ImpType<'multiply', [number, number]> = (a, b) => a * b
export const absquare: ImpType<'absquare', [number]> = a => a*a
export const reciprocal: ImpType<'reciprocal', [number]> = a => 1/a
export const divide: ImpType<'divide', [number, number]> = (a, b) => a / b
export const conservativeSqrt: ImpType<'conservativeSqrt', [number]> =
a => isNaN(a) ? NaN : Math.sqrt(a)
export const sqrt =
(dep: configDependency
& Dependency<'complex', [number, number]>): ImpType<'sqrt', [number]> => {
if (dep.config.predictable || !dep.complex) return conservativeSqrt
return a => {
if (isNaN(a)) return NaN
if (a >= 0) return Math.sqrt(a)
return dep.complex(0, Math.sqrt(unaryMinus(a)))
}
}