type:issubtypeof

docs/method-type-issubtypeof.md

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+# type:issubtypeof
+
+## Summary
+
+New method on the [`type`](./user-defined-type-functions.md#type-instance) userdata in type functions for performing subtype checks.
+
+## Motivation
+
+Currently there is no built in way to do subtype checks in User-Defined Type Functions. This means the developer has to write the following if they wanted to do a subtype check. Subtype checks are useful for type functions, because it makes code like in the following 2 example cases unneeded.
+
+Case 1: Checking if a type is a string or a string singleton
+```luau
+local is_string = t:is("string") or (t:is("singleton") and type(t:value()) == "string")
+```
+
+Case 2: Checking if a type is an enum
+```luau
+type function isenum(t)
+    if t:is("union") then
+        local components = t:components()
+        local components_that_are_string = 0
+
+        for _, component in components do
+            if tv:is("string") or (tv:is("singleton") and type(tv:value()) == "string") then
+                components_that_are_string += 1
+            end
+        end
+        return types.singleton(
+            components_that_are_string == #components
+        )
+    else
+        return types.singleton(false)
+    end
+end
+```
+
+Additionally it would be a pain for users to write a type function to be able to do subtype checks for any type. As the following example type function is already very long, despite not covering everything.
+
+```luau
+type function issubtypeof(a, b)
+    local false_type = types.singleton(false)
+    local true_type = types.singleton(true)
+    local is_subtype = false
+    local a_tag = a.tag
+    local b_tag = b.tag
+
+    if 
+        (a_tag == b_tag) or
+        (b_tag == "singleton" and type(b:value()) == a_tag) or
+        (b_tag == "negation" and type(b:inner()) == a_tag)
+    then
+        is_subtype = true
+    elseif b_tag == "union" or b_tag == "intersection" then
+        local components = b:components()
+        local conmponents_that_are_subtype = 0
+
+        for _, component in components do
+            if issubtypeof(component):value() then
+                conmponents_that_are_subtype += 1
+            end
+        end
+
+        return types.singleton(#components == conmponents_that_are_subtype)
+    elseif b_tag == "table" and a_tag == "table" then
+        local b_mt = b:metatable()
+        local a_mt = a:metatable()
+
+        if b_mt == a_mt then
+            return true_type
+        elseif b_mt and a_mt then
+            local b_mts = { b_mt }
+            local next_b_mt
+            local next_a_mt = a_mt
+
+            while next_b_mt do
+                table.insert(b_mts, next_b_mt)
+                next_b_mt = next_b_mt:metatable()
+            end
+
+            while next_a_mt do
+                for _, mt in b_mts do
+                    if mt == next_a_mt then
+                        return true_type
+                    end
+                end
+                next_a_mt = next_a_mt:metatable()
+            end
+        else
+            --[[
+                For the purposes of this rfc, my point has already been made. And I do not want to write the rest of this type function that nobody should ever use,
+                as its probably going to be an easy way to hit the type function time limit.
+            --]]
+        end
+    end
+
+    return types.singleton(is_subtype)
+end
+```
+
+## Design
+
+The [`type`](./user-defined-type-functions.md#type-instance) will gain a new method: `issubtypeof`:
+
+```luau
+type:issubtypeof(arg: type): boolean
+```
+
+This method will return a boolean indicating if the type is a subtype of `arg`, using luau's existing subtyping algorithm. 
+
+## Drawbacks
+
+Adds another method to the type userdata in User-Defined type functions.
+
+## Alternatives
+
+Do nothing, and let users write the checks themselves as it is currently.