Abstract NewInference & related from KotlinType

Cleanup TypeConstructors & KotlinTypes in VariableFixationFinder
Cleanup TypeConstructors & KotlinTypes in TypeVariableDirectionCalculator
Cleanup KotlinTypes in TypeCheckerContext for ConstraintSystem
Cleanup KotlinTypes in NewCommonSuperTypeCalculator
Cleanup KotlinTypes in TypeApproximator
Cleanup type substitution
Cleanup NewTypeVariable
Cleanup StubType
Cleanup TypeCheckerContext creation, extract common supertype context
Provide TypeSystemInferenceExtensionContext via dependency injection

compiler/ir/ir.tree/src/org/jetbrains/kotlin/ir/util/DeclarationStubGenerator.kt

@@ -45,7 +45,7 @@ class DeclarationStubGenerator(
         }
 
 
-    private val typeTranslator = TypeTranslator(lazyTable, languageVersionSettings, LazyScopedTypeParametersResolver(lazyTable), true)
+    private val typeTranslator = TypeTranslator(lazyTable, languageVersionSettings, moduleDescriptor.builtIns, LazyScopedTypeParametersResolver(lazyTable), true)
     private val constantValueGenerator = ConstantValueGenerator(moduleDescriptor, lazyTable)
 
     init {

compiler/ir/ir.tree/src/org/jetbrains/kotlin/ir/util/TypeTranslator.kt

@@ -5,6 +5,7 @@
 
 package org.jetbrains.kotlin.ir.util
 
+import org.jetbrains.kotlin.builtins.KotlinBuiltIns
 import org.jetbrains.kotlin.config.LanguageFeature
 import org.jetbrains.kotlin.config.LanguageVersionSettings
 import org.jetbrains.kotlin.descriptors.ClassDescriptor
@@ -25,11 +26,12 @@ import org.jetbrains.kotlin.types.typesApproximation.approximateCapturedTypes
 class TypeTranslator(
     private val symbolTable: ReferenceSymbolTable,
     val languageVersionSettings: LanguageVersionSettings,
+    builtIns: KotlinBuiltIns,
     private val typeParametersResolver: TypeParametersResolver = ScopedTypeParametersResolver(),
     private val enterTableScope: Boolean = false
 ) {
 
-    private val typeApproximatorForNI = TypeApproximator()
+    private val typeApproximatorForNI = TypeApproximator(builtIns)
     lateinit var constantValueGenerator: ConstantValueGenerator
 
     fun enterScope(irElement: IrTypeParametersContainer) {
@@ -124,7 +126,11 @@ class TypeTranslator(
             if (ktType.constructor.isDenotable) return ktType
 
             return if (languageVersionSettings.supportsFeature(LanguageFeature.NewInference))
-                typeApproximatorForNI.approximateDeclarationType(ktType, local = false, languageVersionSettings = languageVersionSettings)
+                typeApproximatorForNI.approximateDeclarationType(
+                    ktType,
+                    local = false,
+                    languageVersionSettings = languageVersionSettings
+                )
             else
                 approximateCapturedTypes(ktType).upper
         }