Fix #17069 and #15371

1. `T[K]` now correctly produces `number` when
   `K extends string, T extends Record<K, number>`.

2. `T[K]` no longer allows any type to be assigned to it when
   `T extends object, K extends keyof T`.

Previously both of these cases failed in
getConstraintOfIndexedAccessType because both bases followed `K`'s base
constraint to `string` and then incorrectly produced `any` for types
(like `object`) with no string index signature. In (1), this produced an
error in checkBinaryLikeExpression`. In (2), this failed to produce an
error in `checkTypeRelatedTo`.

Author: sandersn

src/compiler/checker.ts

@@ -5911,7 +5911,14 @@ namespace ts {
                 return transformed;
             }
             const baseObjectType = getBaseConstraintOfType(type.objectType);
-            const baseIndexType = getBaseConstraintOfType(type.indexType);
+            const keepTypeParameterForMappedType = baseObjectType && getObjectFlags(baseObjectType) & ObjectFlags.Mapped &&
+                type.indexType.flags & TypeFlags.TypeParameter;
+            const baseIndexType = !keepTypeParameterForMappedType && getBaseConstraintOfType(type.indexType);
+            if (baseObjectType && baseIndexType === stringType && !getIndexInfoOfType(baseObjectType, IndexKind.String)) {
+                // getIndexedAccessType returns `any` for X[string] where X doesn't have an index signature.
+                // to avoid this, return `undefined`.
+                return undefined;
+            }
             return baseObjectType || baseIndexType ? getIndexedAccessType(baseObjectType || type.objectType, baseIndexType || type.indexType) : undefined;
         }
 
@@ -5961,8 +5968,9 @@ namespace ts {
             function computeBaseConstraint(t: Type): Type {
                 if (t.flags & TypeFlags.TypeParameter) {
                     const constraint = getConstraintFromTypeParameter(<TypeParameter>t);
-                    return (<TypeParameter>t).isThisType ? constraint :
-                        constraint ? getBaseConstraint(constraint) : undefined;
+                    return (t as TypeParameter).isThisType || !constraint ?
+                        constraint :
+                        getBaseConstraint(constraint);
                 }
                 if (t.flags & TypeFlags.UnionOrIntersection) {
                     const types = (<UnionOrIntersectionType>t).types;
@@ -5990,9 +5998,6 @@ namespace ts {
                     const baseIndexedAccess = baseObjectType && baseIndexType ? getIndexedAccessType(baseObjectType, baseIndexType) : undefined;
                     return baseIndexedAccess && baseIndexedAccess !== unknownType ? getBaseConstraint(baseIndexedAccess) : undefined;
                 }
-                if (isGenericMappedType(t)) {
-                    return emptyObjectType;
-                }
                 return t;
             }
         }
@@ -9289,7 +9294,7 @@ namespace ts {
                 }
                 else if (target.flags & TypeFlags.IndexedAccess) {
                     // A type S is related to a type T[K] if S is related to A[K], where K is string-like and
-                    // A is the apparent type of S.
+                    // A is the apparent type of T.
                     const constraint = getConstraintOfType(<IndexedAccessType>target);
                     if (constraint) {
                         if (result = isRelatedTo(source, constraint, reportErrors)) {

src/compiler/core.ts

@@ -718,7 +718,7 @@ namespace ts {
     export function sum<T extends Record<K, number>, K extends string>(array: T[], prop: K): number {
         let result = 0;
         for (const v of array) {
-            // Note: we need the following type assertion because of GH #17069
+            // TODO: Remove the following type assertion once the fix for #17069 is merged
             result += v[prop] as number;
         }
         return result;