73 lines
3.3 KiB
TypeScript
73 lines
3.3 KiB
TypeScript
import {configDependency} from '../core/Config.js'
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import {
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Signature, ConservativeBinary, ConservativeUnary, Dependency, ImpType
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} from '../core/Dispatcher.js'
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import type {Complex, UnderlyingReal} from '../Complex/type.js'
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declare module "./type" {
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interface NumbersReturn<Params> {
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// This description loses information: some subtypes like NumInt or
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// Positive are closed under addition, but this says that the result
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// of add is just a number, not still of the reduced type
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// add: Signature<Params, [number, number], number>
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// Whereas this one preserves information, but lies
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// because it claims all subtypes of number are closed under addition,
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// which is not true for `1 | 2 | 3`, for example. But because in
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// generics that use add we often need to assign the result of add
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// to something of the exact generic type, generics using add won't
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// compile unless we lie in this way and assert that add returns
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// the subtype.
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add: ConservativeBinary<Params, number>
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// Not sure how this will need to go when we introduce NumInt.
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addReal: Params extends [infer R, infer S]
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? R extends number ? S extends R ? R : never : never
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: never
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unaryMinus: ConservativeUnary<Params, number>
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conj: ConservativeUnary<Params, number>
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subtract: ConservativeBinary<Params, number>
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multiply: ConservativeBinary<Params, number>
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absquare: Params extends [infer R]
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? R extends number ? UnderlyingReal<R> : never
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: never
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reciprocal: ConservativeUnary<Params, number>
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divide: ConservativeBinary<Params, number>
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divideByReal: Params extends [infer R, infer S]
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? R extends number ? S extends R ? R : never : never
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: never
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// best square root that remains the same type
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conservativeSqrt: ConservativeUnary<Params, number>
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// Best we can do for sqrt at compile time, since actual return
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// type depends on config. Not sure how this will play out
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// when we make a number-only bundle, but at least the import type
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// above for Complex<> does not lead to any emitted JavaScript.
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sqrt: Signature<Params, [number], number | Complex<number>>
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}
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}
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export const add: ImpType<'add', [number, number]> = (a, b) => a + b
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export const addReal = add
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export const unaryMinus: ImpType<'unaryMinus', [number]> = a => -a
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export const conj: ImpType<'conj', [number]> = a => a
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export const subtract: ImpType<'subtract', [number, number]> = (a, b) => a - b
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export const multiply: ImpType<'multiply', [number, number]> = (a, b) => a * b
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export const absquare: ImpType<'absquare', [number]> = a => a*a
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export const reciprocal: ImpType<'reciprocal', [number]> = a => 1/a
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export const divide: ImpType<'divide', [number, number]> = (a, b) => a / b
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export const divideByReal: ImpType<'divideByReal', [number, number]> = divide
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export const conservativeSqrt: ImpType<'conservativeSqrt', [number]> =
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a => isNaN(a) ? NaN : Math.sqrt(a)
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export const sqrt =
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(dep: configDependency
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& Dependency<'complex', [number, number]>): ImpType<'sqrt', [number]> => {
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if (dep.config.predictable || !dep.complex) return conservativeSqrt
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return a => {
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if (isNaN(a)) return NaN
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if (a >= 0) return Math.sqrt(a)
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return dep.complex(0, Math.sqrt(unaryMinus(a)))
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}
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}
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