Declare implementations and dependencies via standard interfaces for operations #8
@ -5,10 +5,6 @@ import type {
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declare module "../interfaces/type" {
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interface Signatures<T> {
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// TODO: Make Dispatcher collapse operations that match
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// after removing any `_...` suffixes; the following should be
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// additional dispatches for add and divide, not separate
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// operations, in the final mathjs bundle.
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addReal: AliasOf<'add', (a: T, b: RealType<T>) => T>
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divideReal: AliasOf<'divide', (a: T, b: RealType<T>) => T>
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}
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@ -18,7 +14,7 @@ export const add =
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<T>(dep: Dependencies<'add' | 'complex', T>): Signature<'add', Complex<T>> =>
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(w, z) => dep.complex(dep.add(w.re, z.re), dep.add(w.im, z.im))
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export const add_real =
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export const addReal =
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<T>(dep: Dependencies<'addReal' | 'complex', T>):
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Signature<'addReal', Complex<T>> =>
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(z, r) => dep.complex(dep.addReal(z.re, r), z.im)
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@ -57,7 +53,7 @@ export const absquare =
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Signature<'absquare', Complex<T>> =>
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z => dep.add(dep.absquare(z.re), dep.absquare(z.im))
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export const divideByReal =
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export const divideReal =
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<T>(dep: Dependencies<'divideReal' | 'complex', T>):
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Signature<'divideReal', Complex<T>> =>
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(z, r) => dep.complex(dep.divideReal(z.re, r), dep.divideReal(z.im, r))
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@ -75,16 +71,16 @@ export const divide =
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// The dependencies are slightly tricky here, because there are three types
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// involved: Complex<T>, T, and RealType<T>, all of which might be different,
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// and we have to get it straight which operations we need on each type, and
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// in fact, we need `add_real` on both T and Complex<T>, hence the dependency
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// in fact, we need `addReal` on both T and Complex<T>, hence the dependency
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// with a custom name, not generated via Dependencies<...>
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export const sqrt =
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<T>(dep: Dependencies<'equal' | 'conservativeSqrt' | 'unaryMinus', RealType<T>>
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& Dependencies<'zero' | 'complex', T>
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& Dependencies<'absquare' | 're' | 'divideReal', Complex<T>>
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& {
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addNumber: Signature<'addReal', T>, // TODO: should use Signature<'add'> here
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addReal: Signature<'add', RealType<T>>,
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addComplex: Signature<'addReal', Complex<T>> // TODO: should use Signature<'add'> here
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addTR: Signature<'addReal', T>,
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addRR: Signature<'add', RealType<T>>,
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addCR: Signature<'addReal', Complex<T>>
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}):
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Signature<'sqrt', Complex<T>> =>
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z => {
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@ -94,10 +90,10 @@ export const sqrt =
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if (dep.equal(myabs, negr)) {
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// pure imaginary square root; z.im already zero
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return dep.complex(
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dep.zero(z.re), dep.addNumber(z.im, dep.conservativeSqrt(negr)))
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dep.zero(z.re), dep.addTR(z.im, dep.conservativeSqrt(negr)))
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}
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const num = dep.addComplex(z, myabs)
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const denomsq = dep.addReal(dep.addReal(myabs, myabs), dep.addReal(r, r))
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const num = dep.addCR(z, myabs)
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const denomsq = dep.addRR(dep.addRR(myabs, myabs), dep.addRR(r, r))
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const denom = dep.conservativeSqrt(denomsq)
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return dep.divideReal(num, denom)
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}
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