Defined the signature of the function that is being created too

.gitignore

@@ -3,6 +3,7 @@
 # Typescript
 # emitted code
 obj
+build
 
 # ---> Node
 # Logs

README.md

@@ -1,3 +1,3 @@
 # typocomath
 
-A final (?) prototype for a refactor of mathjs, culminating the picomath, pocomath, typomath series. Provides an extensible core with "fuzzy" types for its operations, that can at any time generate exact .d.ts file for its current state.
+A final (?) prototype for a refactor of mathjs, culminating the picomath, pocomath, typomath series. Provides an extensible core with "fuzzy" types for its operations, that can at any time generate exact .d.ts file for its current state.

package.json5

@@ -4,7 +4,7 @@
    description: 'A hopeful final typescipt-pragmatic mathjs proof-of-concept',
    main: 'index.ts',
    scripts: {
-      test: 'echo "Error: no test specified" && exit 1',
+      go: 'tsc && node build/infer.js'
    },
    keywords: [
       'math',

pnpm-lock.yaml

@@ -1,14 +1,17 @@
-lockfileVersion: 5.4
+lockfileVersion: '6.0'
 
-specifiers:
-  typescript: ^4.9.3
+settings:
+  autoInstallPeers: true
+  excludeLinksFromLockfile: false
 
 devDependencies:
-  typescript: 4.9.3
+  typescript:
+    specifier: ^4.9.3
+    version: 4.9.3
 
 packages:
 
-  /typescript/4.9.3:
+  /typescript@4.9.3:
     resolution: {integrity: sha512-CIfGzTelbKNEnLpLdGFgdyKhG23CKdKgQPOBc+OUNrkJ2vr+KSzsSV5kq5iWhEQbok+quxgGzrAtGWCyU7tHnA==}
     engines: {node: '>=4.2.0'}
     hasBin: true

src/infer.ts

@@ -5,53 +5,79 @@
  * infer TypeScript interfaces from that using infer in template literal types.
  */
 
-type T = {} // TODO: how to do generics?
-
 const create = createFactory<{
-    number: number
-    bigint: bigint
-    T: T // TODO: how to do generics?
-    'Complex<T>': unknown  // TODO: how to do generics?
+  number: number
+  bigint: bigint
+  string: string
+  any: any
 }>()
 
-
+// These are our string based interfaces, which we can use both in typed-function and in TypeScript:
+const Multiply = 'multiply(number,number)=>number'
+const Sqrt = 'sqrt(number)=>number'
+const Zero = 'zero(number)=>number'
+// TODO: get generics working
 // TODO: how to pass config?
-// FIXME: multiple signatures do not work
 
-const createSquare = create({
-        multiply: '(number, number) : number',
-        // zero: '(number) : number'
-    },dep => {
-        return (x: number) => dep.multiply(x, x)
-    }
+const createSquare = create(Sqrt, [Multiply, Zero],dep =>
+    x => dep.multiply(x, x)
 )
 
 // the code works in JS, and works in TS
 const multiply = (a: number, b: number) => a * b
-const square = createSquare({ multiply })
+const zero = (a: number) => 0
+const square = createSquare({ multiply, zero })
 console.log('square', square(8)) // 64
 
 function createFactory<BaseTypes extends Record<string, unknown>>() {
-    type K = string & keyof BaseTypes
+  type BaseTypeNames = string & keyof BaseTypes
+  type ResolveType<TypeName extends BaseTypeNames> = BaseTypes[TypeName]
 
-    type ResolveType<T extends K> = BaseTypes[T]
+  type Value<K> = K
 
-    type ResolveArguments<S extends string> =
-        S extends '' ? [] :
-          S extends `${infer T extends K}, ${infer U}`
-            ? [ResolveType<T>, ...ResolveArguments<U>]
-            : S extends `${infer T extends K}` ? [ResolveType<T>]
-              : never;
+  type ResolveArguments<S extends string> = S extends ''
+    ? []
+    : S extends `${infer Arg extends BaseTypeNames},${infer Tail}`
+      ? [ResolveType<Arg>, ...ResolveArguments<Tail>]
+      : S extends `${infer Arg extends BaseTypeNames}`
+        ? [ResolveType<Arg>]
+        : never
 
-    type ResolveFunctionDef<T> =
-        T extends `${infer Name}(${infer Args}) : ${infer L extends K}`
-            ? (...args: ResolveArguments<Args>) => ResolveType<L>
-            : never
+  type DependencyRecord<FnType> =
+    FnType extends Value<infer K>
+      ? K extends `${infer Name}(${infer Args})=>${infer ReturnType extends BaseTypeNames}`
+        ? Record<Name, (...args: ResolveArguments<Args>) => ResolveType<ReturnType>>
+        : never
+      : never
 
-    return function create<T extends string, U extends string, V>(
-        dependencies: { [L in T]: U },
-        callback: (deps: { [L in T]: ResolveFunctionDef<U> }) => V
-    ) {
-        return callback
-    }
+  type CreatedFunctionType<FnType> =
+    FnType extends Value<infer K>
+      ? K extends `${infer Name}(${infer Args})=>${infer ReturnType extends BaseTypeNames}`
+        ? (...args: ResolveArguments<Args>) => ResolveType<ReturnType>
+        : never
+      : never
+
+  // inspired by: https://stackoverflow.com/questions/68391632/infer-type-from-array-literal
+  type DependenciesRecord<
+    Arr extends Array<Value<any>>,
+    Result extends Record<string, any> = {}
+  > = Arr extends []
+    ? Result
+    : Arr extends [infer H, ...infer Tail]
+      ? Tail extends Array<Value<any>>
+        ? H extends Value<any>
+          ? DependenciesRecord<Tail, Result & DependencyRecord<H>>
+          : never
+        : never
+      : never
+
+  return function create<K extends string, Dependencies extends Value<K>[], W extends Value<K>>(
+    signature: W,
+    dependencies: [...Dependencies],
+    callback: (deps: DependenciesRecord<[...Dependencies]>) => CreatedFunctionType<W>
+  ) {
+    console.log('Creating typed-function with', { signature, dependencies })
+    // TODO: create a typed-function for real
+    return callback
+  }
 }

tsconfig.json

@@ -2,6 +2,6 @@
     "compilerOptions": {
         "target": "ES2022",
         "rootDir": "./src",
-        "outDir": "./obj"
+        "outDir": "./build"
     }
 }