import {ReturnsAs} from './helpers.js'

import {Returns, ReturnTyping} from '#core/Type.js'
import {match, Any} from '#core/TypePatterns.js'

export const abs = match(Any, (math, T) => {
   const absq = math.absquare.resolve(T)
   const sqrt = math.sqrt.resolve(absq.returns, ReturnTyping.conservative)
   return ReturnsAs(sqrt, t => sqrt(absq(t)))
})
export const conj = match(Any, (_math, T) => Returns(T, t => t))
export const square = match(Any, (math, T, strategy) => {
   const mult = math.multiply.resolve([T, T], strategy)
   return Returns(mult.returns, t => mult(t, t))
})