typocomath/src/numbers/arithmetic.ts

36 lines
1.4 KiB
TypeScript

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 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(unaMinus(a)))
}
}
$reflect!([
add, unaryMinus, conj, subtract, multiply, absquare, reciprocal, divide,
conservativeSqrt, sqrt
])