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Update eager-inference-annotations-for-polymorphic-types.md
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## Summary
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Introduce a way to annotate a polymorphic function signature to express that it will only allow the first usage of a polymorphic type to interact with implicit instantiation.
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The RFC introduces a feature to annotate a polymorphic function signature to express that the first instantiation of a polymorphic type T is the one that sticks.
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## Motivation
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Currently, Luau's type solver allows polymorphic types to widen into unions when they are instantiated with multiple types. For example:
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The purpose of this feature is to prevent polymorphic types from widening into a union (e.g., number | string) when the function is called with different arguments, like in the case of `test(1, "a")`. Without the `!` annotation, the solver would infer `T` to be `number | string`, which is undesirable when the intention is to enforce strict type consistency across the function.
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```luau
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function test<T>(a: T, b: T): T
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return a
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end
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local result = test(1, "string") -- inferred type: 1 | "string"
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local result = test(1, "string") -- inferred type: number | string"
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```
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This behaviour can be useful in some cases but is undesirable when a function is intended to enforce strict monomorphism. A monomorphic binding would prevent `T` from being instantiated with different types and instead produce a type error if `b` does not match `a`.
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This behaviour can be useful in some cases but is undesirable when a function is intended to constrain the type to. An eager binding would prevent `T` from being instantiated with different types and instead produce a type error if `b` does not match `a`.
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## Design
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We propose adding some symbol as a suffix (or prefix) that annotates the inference behaviour for the polymorphic type.
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### New Syntax
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The `T!` syntax would would enforce an eager inference behaviour for `T`.
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```luau
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function test<T!>(a: T, b: T)
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test(1, "string") -- Type error: Expected `number`, got `string`
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```
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## Design
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This RFC proposes adding some symbol as a suffix (or prefix) that annotates the inference behaviour for the polymorphic type.
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### New Syntax
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The `T!` syntax would indicate a that the type binding for `T` is monomorphic.
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### Type Checking Rules
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- If a different type is encountered, a **type error** is raised.
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- `T` will not expand into a union.
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2. **Behavior in Unions**
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2. **Behaviour in Unions**
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- A function or type with `T!` cannot instantiate `T` with a union.
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- If `T` is already a union, it must remain a union as new types cannot be added to it.
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- Introduces a new syntax modifier (`T!`), which may lead to a symbol soup, but it doesn't seem too shabby next to `T?`.
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## Alternatives
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### Function-argument-bindings
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Flip the relationship being declarared per-type-parameter to be per-argument which provides more control in expressing the inference and could allow both instantiation behaviours of polymorphic types under an uniform syntax.
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A polymorphic function has arguments marked with T! will not contribute to the inference of `T`. Instead `T` should be inferred on the arguments without the annotation.
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```luau
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function test<T>(first: T!, second: T!, third: T): T
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end
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test(1, "string", true) -- Type error: Expected `boolean`, got `number`
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```
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### Type Function Constraint
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Provide a `types.monomorphic<T>` function in user-defined type functions to enforce monomorphism dynamically. But this would probably require some way to propagate an `*error-type*` to the user.
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### Keywords
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Something like `<greedy T>` or `<strict T>` should also be considered if we want to reduce symbols.
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- **Type Function Constraint**: Provide a `types.monomorphic<T>` function in user-defined type functions to enforce monomorphism dynamically. But this would probably require some way to propagate an `*error-type*` to the user.
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- **Keywords**: Something like `<greedy T>` or `<strict T>` should also be considered if we want to reduce symbols.
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- **Function-argument-bindings**: Flip the relationship from being declared per-type-parameter to be set per-argument:<br>`function test<T>(a: T, b: T, c: T!)` which provides the user more control, and could allow both instantiation behaviours of polymorphic types under a uniform syntax.
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