fix and test absquare for quaternion

.gitignore

@@ -129,6 +129,9 @@ dist
 # Stores VSCode versions used for testing VSCode extensions
 .vscode-test
 
+# WebStorm
+.idea
+
 # yarn v2
 .yarn/cache
 .yarn/unplugged

src/Complex/arithmetic.ts

@@ -51,11 +51,11 @@ export const multiply =
       }
 
 export const absquare =
-   <T>(dep: {
-      add: (a: T, b: T) => T,
-      absquare: (z: T) => T
+   <T, U>(dep: {
+      add: (a: U, b: U) => U,
+      absquare: (z: T) => U
    }) =>
-      (z: Complex<T>): T => dep.add(dep.absquare(z.re), dep.absquare(z.im))
+      (z: Complex<T>): U => dep.add(dep.absquare(z.re), dep.absquare(z.im))
 
 export const divideByReal =
    <T>(dep: {

src/index.ts

@@ -2,3 +2,22 @@ import {Dispatcher} from './core/Dispatcher.js'
 import * as Specifications from './all.js'
 
 export default new Dispatcher(Specifications)
+
+
+// Test https://github.com/josdejong/pocomath/issues/1#issuecomment-1364056151
+
+import {Complex} from './Complex/type.js'
+import {absquare as absquare_complex} from './Complex/arithmetic.js'
+
+const mockRealAdd = (a: number, b: number) => a+b
+const mockComplexAbsquare = (z: Complex<number>) => z.re*z.re + z.im*z.im
+
+const quatAbsquare = absquare_complex({
+    add: mockRealAdd,
+    absquare: mockComplexAbsquare
+})
+
+const myabs = quatAbsquare({re: {re: 0, im: 1}, im: {re:2, im: 3}})
+const typeTest: typeof myabs = 7 // check myabs is just a number
+
+console.log('Result is', myabs)