tests/compiler/dart2js/type_combination_test.dart

// Copyright (c) 2012, the Dart project authors.  Please see the AUTHORS file
// for details. All rights reserved. Use of this source code is governed by a
// BSD-style license that can be found in the LICENSE file.

import 'package:async_helper/async_helper.dart';
import 'package:expect/expect.dart';
import 'package:compiler/src/js_backend/js_backend.dart';
import 'package:compiler/src/types/types.dart';
import 'package:compiler/src/world.dart';
import 'compiler_helper.dart';
import 'type_mask_test_helper.dart';

TypeMask nullType;
TypeMask objectType;
TypeMask jsBoolean;
TypeMask jsNumber;
TypeMask jsInteger;
TypeMask jsDouble;
TypeMask jsBooleanOrNull;
TypeMask jsNumberOrNull;
TypeMask jsIntegerOrNull;
TypeMask jsDoubleOrNull;
TypeMask emptyType;
TypeMask dynamicType;

var patternClass;
TypeMask nonPrimitive1;
TypeMask nonPrimitive2;
TypeMask potentialArray;
TypeMask potentialString;
TypeMask jsInterceptor;

TypeMask jsIndexable;
TypeMask jsReadableArray;
TypeMask jsMutableArray;
TypeMask jsFixedArray;
TypeMask jsExtendableArray;
TypeMask jsUnmodifiableArray;
TypeMask jsString;
TypeMask jsStringOrNull;
TypeMask jsArrayOrNull;
TypeMask jsMutableArrayOrNull;
TypeMask jsFixedArrayOrNull;
TypeMask jsExtendableArrayOrNull;
TypeMask jsUnmodifiableArrayOrNull;
TypeMask jsIndexableOrNull;
TypeMask jsInterceptorOrNull;


class Pair {
  final first;
  final second;
  Pair(this.first, this.second);
  int get hashCode => first.hashCode * 47 + second.hashCode;
  bool operator==(Pair other) =>
      identical(first, other.first) && identical(second, other.second);
}

class RuleSet {
  final name;
  final operate;
  final Set typesSeen = new Set();
  final Set pairsSeen = new Set();

  RuleSet(this.name, this.operate);

  void rule(type1, type2, result) {
    typesSeen..add(type1)..add(type2);
    var pair1 = new Pair(type1, type2);
    var pair2 = new Pair(type2, type1);
    if (pairsSeen.contains(pair1)) {
      Expect.isFalse(true, 'Redundant rule ($type1, $type2, ...)');
    }
    pairsSeen..add(pair1)..add(pair2);

    var r1 = operate(type1, type2);
    var r2 = operate(type2, type1);
    Expect.equals(result, r1);
    Expect.equals(r1, r2, 'symmetry violation');
  }

  void check(type1, type2, predicate) {
    typesSeen..add(type1)..add(type2);
    var pair = new Pair(type1, type2);
    pairsSeen..add(pair);
    var result = operate(type1, type2);
    Expect.isTrue(predicate(result));
  }

  void validateCoverage() {
    for (var type1 in typesSeen) {
      for (var type2 in typesSeen) {
        var pair = new Pair(type1, type2);
        if (!pairsSeen.contains(pair)) {
          Expect.isTrue(false, 'Missing rule: $name($type1, $type2)');
        }
      }
    }
  }
}

void testUnion(MockCompiler compiler) {
  RuleSet ruleSet = new RuleSet('union',
      (t1, t2) => simplify(t1.union(t2, compiler.world), compiler));
  rule(type1, type2, result) => ruleSet.rule(type1, type2, result);
  check(type1, type2, predicate) => ruleSet.check(type1, type2, predicate);

  rule(emptyType, emptyType, emptyType);
  rule(emptyType, dynamicType, dynamicType);
  rule(emptyType, jsBoolean, jsBoolean);
  rule(emptyType, jsNumber, jsNumber);
  rule(emptyType, jsInteger, jsInteger);
  rule(emptyType, jsDouble, jsDouble);
  rule(emptyType, jsIndexable, jsIndexable);
  rule(emptyType, jsString, jsString);
  rule(emptyType, jsReadableArray, jsReadableArray);
  rule(emptyType, jsMutableArray, jsMutableArray);
  rule(emptyType, jsExtendableArray, jsExtendableArray);
  rule(emptyType, jsUnmodifiableArray, jsUnmodifiableArray);
  rule(emptyType, nonPrimitive1, nonPrimitive1);
  rule(emptyType, nonPrimitive2, nonPrimitive2);
  rule(emptyType, potentialArray, potentialArray);
  rule(emptyType, potentialString, potentialString);
  rule(emptyType, jsBooleanOrNull, jsBooleanOrNull);
  rule(emptyType, jsNumberOrNull, jsNumberOrNull);
  rule(emptyType, jsIntegerOrNull, jsIntegerOrNull);
  rule(emptyType, jsDoubleOrNull, jsDoubleOrNull);
  rule(emptyType, jsStringOrNull, jsStringOrNull);
  rule(emptyType, nullType, nullType);
  rule(emptyType, jsFixedArray, jsFixedArray);

  rule(dynamicType, dynamicType, dynamicType);
  rule(dynamicType, jsBoolean, dynamicType);
  rule(dynamicType, jsNumber, dynamicType);
  rule(dynamicType, jsInteger, dynamicType);
  rule(dynamicType, jsDouble, dynamicType);
  rule(dynamicType, jsIndexable, dynamicType);
  rule(dynamicType, jsString, dynamicType);
  rule(dynamicType, jsReadableArray, dynamicType);
  rule(dynamicType, jsMutableArray, dynamicType);
  rule(dynamicType, jsExtendableArray, dynamicType);
  rule(dynamicType, jsUnmodifiableArray, dynamicType);
  rule(dynamicType, nonPrimitive1, dynamicType);
  rule(dynamicType, nonPrimitive2, dynamicType);
  rule(dynamicType, potentialArray, dynamicType);
  rule(dynamicType, potentialString, dynamicType);
  rule(dynamicType, jsBooleanOrNull, dynamicType);
  rule(dynamicType, jsNumberOrNull, dynamicType);
  rule(dynamicType, jsIntegerOrNull, dynamicType);
  rule(dynamicType, jsDoubleOrNull, dynamicType);
  rule(dynamicType, jsStringOrNull, dynamicType);
  rule(dynamicType, nullType, dynamicType);
  rule(dynamicType, jsFixedArray, dynamicType);

  rule(jsBoolean, jsBoolean, jsBoolean);
  rule(jsBoolean, jsNumber, jsInterceptor);
  rule(jsBoolean, jsInteger, jsInterceptor);
  rule(jsBoolean, jsDouble, jsInterceptor);
  rule(jsBoolean, jsIndexable, objectType);
  rule(jsBoolean, jsString, jsInterceptor);
  rule(jsBoolean, jsReadableArray, jsInterceptor);
  rule(jsBoolean, jsMutableArray, jsInterceptor);
  rule(jsBoolean, jsExtendableArray, jsInterceptor);
  rule(jsBoolean, jsUnmodifiableArray, jsInterceptor);
  rule(jsBoolean, nonPrimitive1, objectType);
  rule(jsBoolean, nonPrimitive2, objectType);
  rule(jsBoolean, potentialArray, dynamicType);
  rule(jsBoolean, potentialString, dynamicType);
  rule(jsBoolean, jsBooleanOrNull, jsBooleanOrNull);
  rule(jsBoolean, jsNumberOrNull, jsInterceptorOrNull);
  rule(jsBoolean, jsIntegerOrNull, jsInterceptorOrNull);
  rule(jsBoolean, jsDoubleOrNull, jsInterceptorOrNull);
  rule(jsBoolean, jsStringOrNull, jsInterceptorOrNull);
  rule(jsBoolean, nullType, jsBooleanOrNull);
  rule(jsBoolean, jsFixedArray, jsInterceptor);

  rule(jsNumber, jsNumber, jsNumber);
  rule(jsNumber, jsInteger, jsNumber);
  rule(jsNumber, jsDouble, jsNumber);
  rule(jsNumber, jsIndexable, objectType);
  rule(jsNumber, jsString, jsInterceptor);
  rule(jsNumber, jsReadableArray, jsInterceptor);
  rule(jsNumber, jsMutableArray, jsInterceptor);
  rule(jsNumber, jsExtendableArray, jsInterceptor);
  rule(jsNumber, jsUnmodifiableArray, jsInterceptor);
  rule(jsNumber, nonPrimitive1, objectType);
  rule(jsNumber, nonPrimitive2, objectType);
  rule(jsNumber, potentialArray, dynamicType);
  rule(jsNumber, potentialString, dynamicType);
  rule(jsNumber, jsBooleanOrNull, jsInterceptorOrNull);
  rule(jsNumber, jsNumberOrNull, jsNumberOrNull);
  rule(jsNumber, jsIntegerOrNull, jsNumberOrNull);
  rule(jsNumber, jsDoubleOrNull, jsNumberOrNull);
  rule(jsNumber, jsStringOrNull, jsInterceptorOrNull);
  rule(jsNumber, nullType, jsNumberOrNull);
  rule(jsNumber, jsFixedArray, jsInterceptor);

  rule(jsInteger, jsInteger, jsInteger);
  rule(jsInteger, jsDouble, jsNumber);
  rule(jsInteger, jsIndexable, objectType);
  rule(jsInteger, jsString, jsInterceptor);
  rule(jsInteger, jsReadableArray, jsInterceptor);
  rule(jsInteger, jsMutableArray, jsInterceptor);
  rule(jsInteger, jsExtendableArray, jsInterceptor);
  rule(jsInteger, jsUnmodifiableArray, jsInterceptor);
  rule(jsInteger, nonPrimitive1, objectType);
  rule(jsInteger, nonPrimitive2, objectType);
  rule(jsInteger, potentialArray, dynamicType);
  rule(jsInteger, potentialString, dynamicType);
  rule(jsInteger, jsBooleanOrNull, jsInterceptorOrNull);
  rule(jsInteger, jsNumberOrNull, jsNumberOrNull);
  rule(jsInteger, jsIntegerOrNull, jsIntegerOrNull);
  rule(jsInteger, jsDoubleOrNull, jsNumberOrNull);
  rule(jsInteger, jsStringOrNull, jsInterceptorOrNull);
  rule(jsInteger, nullType, jsIntegerOrNull);
  rule(jsInteger, jsFixedArray, jsInterceptor);

  rule(jsDouble, jsDouble, jsDouble);
  rule(jsDouble, jsIndexable, objectType);
  rule(jsDouble, jsString, jsInterceptor);
  rule(jsDouble, jsReadableArray, jsInterceptor);
  rule(jsDouble, jsMutableArray, jsInterceptor);
  rule(jsDouble, jsExtendableArray, jsInterceptor);
  rule(jsDouble, jsUnmodifiableArray, jsInterceptor);
  rule(jsDouble, nonPrimitive1, objectType);
  rule(jsDouble, nonPrimitive2, objectType);
  rule(jsDouble, potentialArray, dynamicType);
  rule(jsDouble, potentialString, dynamicType);
  rule(jsDouble, jsBooleanOrNull, jsInterceptorOrNull);
  rule(jsDouble, jsNumberOrNull, jsNumberOrNull);
  rule(jsDouble, jsIntegerOrNull, jsNumberOrNull);
  rule(jsDouble, jsDoubleOrNull, jsDoubleOrNull);
  rule(jsDouble, jsStringOrNull, jsInterceptorOrNull);
  rule(jsDouble, nullType, jsDoubleOrNull);
  rule(jsDouble, jsFixedArray, jsInterceptor);

  rule(jsIndexable, jsIndexable, jsIndexable);
  rule(jsIndexable, jsString, jsIndexable);
  rule(jsIndexable, jsReadableArray, jsIndexable);
  rule(jsIndexable, jsMutableArray, jsIndexable);
  rule(jsIndexable, jsExtendableArray, jsIndexable);
  rule(jsIndexable, jsUnmodifiableArray, jsIndexable);
  rule(jsIndexable, nonPrimitive1, objectType);
  rule(jsIndexable, nonPrimitive2, objectType);
  rule(jsIndexable, potentialArray, dynamicType);
  rule(jsIndexable, potentialString, dynamicType);
  rule(jsIndexable, jsBooleanOrNull, dynamicType);
  rule(jsIndexable, jsNumberOrNull, dynamicType);
  rule(jsIndexable, jsIntegerOrNull, dynamicType);
  rule(jsIndexable, jsDoubleOrNull, dynamicType);
  rule(jsIndexable, jsStringOrNull, jsIndexableOrNull);
  rule(jsIndexable, nullType, jsIndexableOrNull);
  rule(jsIndexable, jsFixedArray, jsIndexable);

  rule(jsString, jsString, jsString);
  rule(jsString, jsReadableArray, jsIndexable);
  rule(jsString, jsMutableArray, jsIndexable);
  rule(jsString, jsExtendableArray, jsIndexable);
  rule(jsString, jsUnmodifiableArray, jsIndexable);
  rule(jsString, nonPrimitive1, objectType);
  rule(jsString, nonPrimitive2, objectType);
  rule(jsString, potentialArray, dynamicType);
  rule(jsString, potentialString, potentialString);
  rule(jsString, jsBooleanOrNull, jsInterceptorOrNull);
  rule(jsString, jsNumberOrNull, jsInterceptorOrNull);
  rule(jsString, jsIntegerOrNull, jsInterceptorOrNull);
  rule(jsString, jsDoubleOrNull, jsInterceptorOrNull);
  rule(jsString, jsStringOrNull, jsStringOrNull);
  rule(jsString, nullType, jsStringOrNull);
  rule(jsString, jsFixedArray, jsIndexable);

  rule(jsReadableArray, jsReadableArray, jsReadableArray);
  rule(jsReadableArray, jsMutableArray, jsReadableArray);
  rule(jsReadableArray, jsExtendableArray, jsReadableArray);
  rule(jsReadableArray, jsUnmodifiableArray, jsReadableArray);
  rule(jsReadableArray, nonPrimitive1, objectType);
  rule(jsReadableArray, nonPrimitive2, objectType);
  rule(jsReadableArray, potentialArray, potentialArray);
  rule(jsReadableArray, potentialString, dynamicType);
  rule(jsReadableArray, jsBooleanOrNull, jsInterceptorOrNull);
  rule(jsReadableArray, jsNumberOrNull, jsInterceptorOrNull);
  rule(jsReadableArray, jsIntegerOrNull, jsInterceptorOrNull);
  rule(jsReadableArray, jsDoubleOrNull, jsInterceptorOrNull);
  rule(jsReadableArray, jsStringOrNull, jsIndexableOrNull);
  rule(jsReadableArray, nullType, jsArrayOrNull);
  rule(jsReadableArray, jsFixedArray, jsReadableArray);

  rule(jsMutableArray, jsMutableArray, jsMutableArray);
  rule(jsMutableArray, jsExtendableArray, jsMutableArray);
  rule(jsMutableArray, jsUnmodifiableArray, jsReadableArray);
  rule(jsMutableArray, nonPrimitive1, objectType);
  rule(jsMutableArray, nonPrimitive2, objectType);
  rule(jsMutableArray, potentialArray, potentialArray);
  rule(jsMutableArray, potentialString, dynamicType);
  rule(jsMutableArray, jsBooleanOrNull, jsInterceptorOrNull);
  rule(jsMutableArray, jsNumberOrNull, jsInterceptorOrNull);
  rule(jsMutableArray, jsIntegerOrNull, jsInterceptorOrNull);
  rule(jsMutableArray, jsDoubleOrNull, jsInterceptorOrNull);
  rule(jsMutableArray, jsStringOrNull, jsIndexableOrNull);
  rule(jsMutableArray, nullType, jsMutableArrayOrNull);
  rule(jsMutableArray, jsFixedArray, jsMutableArray);

  rule(jsExtendableArray, jsExtendableArray, jsExtendableArray);
  rule(jsExtendableArray, jsUnmodifiableArray, jsReadableArray);
  rule(jsExtendableArray, nonPrimitive1, objectType);
  rule(jsExtendableArray, nonPrimitive2, objectType);
  rule(jsExtendableArray, potentialArray, potentialArray);
  rule(jsExtendableArray, potentialString, dynamicType);
  rule(jsExtendableArray, jsBooleanOrNull, jsInterceptorOrNull);
  rule(jsExtendableArray, jsNumberOrNull, jsInterceptorOrNull);
  rule(jsExtendableArray, jsIntegerOrNull, jsInterceptorOrNull);
  rule(jsExtendableArray, jsDoubleOrNull, jsInterceptorOrNull);
  rule(jsExtendableArray, jsStringOrNull, jsIndexableOrNull);
  rule(jsExtendableArray, nullType, jsExtendableArrayOrNull);
  rule(jsExtendableArray, jsFixedArray, jsMutableArray);

  rule(jsUnmodifiableArray, jsUnmodifiableArray, jsUnmodifiableArray);
  rule(jsUnmodifiableArray, nonPrimitive1, objectType);
  rule(jsUnmodifiableArray, nonPrimitive2, objectType);
  rule(jsUnmodifiableArray, potentialArray, potentialArray);
  rule(jsUnmodifiableArray, potentialString, dynamicType);
  rule(jsUnmodifiableArray, jsBooleanOrNull, jsInterceptorOrNull);
  rule(jsUnmodifiableArray, jsNumberOrNull, jsInterceptorOrNull);
  rule(jsUnmodifiableArray, jsIntegerOrNull, jsInterceptorOrNull);
  rule(jsUnmodifiableArray, jsDoubleOrNull, jsInterceptorOrNull);
  rule(jsUnmodifiableArray, jsStringOrNull, jsIndexableOrNull);
  rule(jsUnmodifiableArray, nullType, jsUnmodifiableArrayOrNull);
  rule(jsUnmodifiableArray, jsFixedArray, jsReadableArray);

  rule(nonPrimitive1, nonPrimitive1, nonPrimitive1);
  rule(nonPrimitive1, nonPrimitive2, objectType);
  rule(nonPrimitive1, potentialArray, dynamicType);
  rule(nonPrimitive1, potentialString, dynamicType);
  rule(nonPrimitive1, jsBooleanOrNull, dynamicType);
  rule(nonPrimitive1, jsNumberOrNull, dynamicType);
  rule(nonPrimitive1, jsIntegerOrNull, dynamicType);
  rule(nonPrimitive1, jsDoubleOrNull, dynamicType);
  rule(nonPrimitive1, jsStringOrNull, dynamicType);
  rule(nonPrimitive1, jsFixedArray, objectType);

  rule(nonPrimitive2, nonPrimitive2, nonPrimitive2);
  rule(nonPrimitive2, potentialArray, dynamicType);
  rule(nonPrimitive2, potentialString, dynamicType);
  rule(nonPrimitive2, jsBooleanOrNull, dynamicType);
  rule(nonPrimitive2, jsNumberOrNull, dynamicType);
  rule(nonPrimitive2, jsIntegerOrNull, dynamicType);
  rule(nonPrimitive2, jsDoubleOrNull, dynamicType);
  rule(nonPrimitive2, jsStringOrNull, dynamicType);
  rule(nonPrimitive2, jsFixedArray, objectType);

  rule(potentialArray, potentialArray, potentialArray);
  rule(potentialArray, potentialString, dynamicType);
  rule(potentialArray, jsBooleanOrNull, dynamicType);
  rule(potentialArray, jsNumberOrNull, dynamicType);
  rule(potentialArray, jsIntegerOrNull, dynamicType);
  rule(potentialArray, jsDoubleOrNull, dynamicType);
  rule(potentialArray, jsStringOrNull, dynamicType);
  rule(potentialArray, nullType, potentialArray);
  rule(potentialArray, jsFixedArray, potentialArray);

  rule(potentialString, potentialString, potentialString);
  rule(potentialString, jsBooleanOrNull, dynamicType);
  rule(potentialString, jsNumberOrNull, dynamicType);
  rule(potentialString, jsIntegerOrNull, dynamicType);
  rule(potentialString, jsDoubleOrNull, dynamicType);
  rule(potentialString, jsStringOrNull, potentialString);
  rule(potentialString, nullType, potentialString);
  rule(potentialString, jsFixedArray, dynamicType);

  rule(jsBooleanOrNull, jsBooleanOrNull, jsBooleanOrNull);
  rule(jsBooleanOrNull, jsNumberOrNull, jsInterceptorOrNull);
  rule(jsBooleanOrNull, jsIntegerOrNull, jsInterceptorOrNull);
  rule(jsBooleanOrNull, jsDoubleOrNull, jsInterceptorOrNull);
  rule(jsBooleanOrNull, jsStringOrNull, jsInterceptorOrNull);
  rule(jsBooleanOrNull, nullType, jsBooleanOrNull);
  rule(jsBooleanOrNull, jsFixedArray, jsInterceptorOrNull);

  rule(jsNumberOrNull, jsNumberOrNull, jsNumberOrNull);
  rule(jsNumberOrNull, jsIntegerOrNull, jsNumberOrNull);
  rule(jsNumberOrNull, jsDoubleOrNull, jsNumberOrNull);
  rule(jsNumberOrNull, jsStringOrNull, jsInterceptorOrNull);
  rule(jsNumberOrNull, nullType, jsNumberOrNull);
  rule(jsNumberOrNull, jsFixedArray, jsInterceptorOrNull);

  rule(jsIntegerOrNull, jsIntegerOrNull, jsIntegerOrNull);
  rule(jsIntegerOrNull, jsDoubleOrNull, jsNumberOrNull);
  rule(jsIntegerOrNull, jsStringOrNull, jsInterceptorOrNull);
  rule(jsIntegerOrNull, nullType, jsIntegerOrNull);
  rule(jsIntegerOrNull, jsFixedArray, jsInterceptorOrNull);

  rule(jsDoubleOrNull, jsDoubleOrNull, jsDoubleOrNull);
  rule(jsDoubleOrNull, jsStringOrNull, jsInterceptorOrNull);
  rule(jsDoubleOrNull, nullType, jsDoubleOrNull);
  rule(jsDoubleOrNull, jsFixedArray, jsInterceptorOrNull);

  rule(jsStringOrNull, jsStringOrNull, jsStringOrNull);
  rule(jsStringOrNull, nullType, jsStringOrNull);
  rule(jsStringOrNull, jsFixedArray, jsIndexableOrNull);

  rule(nullType, nullType, nullType);
  rule(nullType, jsFixedArray, jsFixedArrayOrNull);

  rule(jsFixedArray, jsFixedArray, jsFixedArray);

  check(nonPrimitive1, nullType, (type) => type == nonPrimitive1.nullable());
  check(nonPrimitive2, nullType, (type) => type == nonPrimitive2.nullable());
  check(nullType, nonPrimitive1, (type) => type == nonPrimitive1.nullable());
  check(nullType, nonPrimitive2, (type) => type == nonPrimitive2.nullable());

  ruleSet.validateCoverage();
}

void testIntersection(MockCompiler compiler) {
  JavaScriptBackend backend = compiler.backend;
  RuleSet ruleSet = new RuleSet('intersection',
      (t1, t2) => t1.intersection(t2, compiler.world));
  rule(type1, type2, result) => ruleSet.rule(type1, type2, result);

  rule(emptyType, emptyType, emptyType);
  rule(emptyType, dynamicType, emptyType);
  rule(emptyType, jsBoolean, emptyType);
  rule(emptyType, jsNumber, emptyType);
  rule(emptyType, jsInteger, emptyType);
  rule(emptyType, jsDouble, emptyType);
  rule(emptyType, jsIndexable, emptyType);
  rule(emptyType, jsString, emptyType);
  rule(emptyType, jsReadableArray, emptyType);
  rule(emptyType, jsMutableArray, emptyType);
  rule(emptyType, jsExtendableArray, emptyType);
  rule(emptyType, jsUnmodifiableArray, emptyType);
  rule(emptyType, nonPrimitive1, emptyType);
  rule(emptyType, nonPrimitive2, emptyType);
  rule(emptyType, potentialArray, emptyType);
  rule(emptyType, potentialString, emptyType);
  rule(emptyType, jsBooleanOrNull, emptyType);
  rule(emptyType, jsNumberOrNull, emptyType);
  rule(emptyType, jsIntegerOrNull, emptyType);
  rule(emptyType, jsDoubleOrNull, emptyType);
  rule(emptyType, jsStringOrNull, emptyType);
  rule(emptyType, nullType, emptyType);
  rule(emptyType, jsFixedArray, emptyType);

  rule(dynamicType, dynamicType, dynamicType);
  rule(dynamicType, jsBoolean, jsBoolean);
  rule(dynamicType, jsNumber, jsNumber);
  rule(dynamicType, jsInteger, jsInteger);
  rule(dynamicType, jsDouble, jsDouble);
  rule(dynamicType, jsIndexable, jsIndexable);
  rule(dynamicType, jsString, jsString);
  rule(dynamicType, jsReadableArray, jsReadableArray);
  rule(dynamicType, jsMutableArray, jsMutableArray);
  rule(dynamicType, jsExtendableArray, jsExtendableArray);
  rule(dynamicType, jsUnmodifiableArray, jsUnmodifiableArray);
  rule(dynamicType, nonPrimitive1, nonPrimitive1);
  rule(dynamicType, nonPrimitive2, nonPrimitive2);
  rule(dynamicType, potentialArray, potentialArray);
  rule(dynamicType, potentialString, potentialString);
  rule(dynamicType, jsBooleanOrNull, jsBooleanOrNull);
  rule(dynamicType, jsNumberOrNull, jsNumberOrNull);
  rule(dynamicType, jsIntegerOrNull, jsIntegerOrNull);
  rule(dynamicType, jsDoubleOrNull, jsDoubleOrNull);
  rule(dynamicType, jsStringOrNull, jsStringOrNull);
  rule(dynamicType, nullType, nullType);
  rule(dynamicType, jsFixedArray, jsFixedArray);

  rule(jsBoolean, jsBoolean, jsBoolean);
  rule(jsBoolean, jsNumber, emptyType);
  rule(jsBoolean, jsInteger, emptyType);
  rule(jsBoolean, jsDouble, emptyType);
  rule(jsBoolean, jsIndexable, emptyType);
  rule(jsBoolean, jsString, emptyType);
  rule(jsBoolean, jsReadableArray, emptyType);
  rule(jsBoolean, jsMutableArray, emptyType);
  rule(jsBoolean, jsExtendableArray, emptyType);
  rule(jsBoolean, jsUnmodifiableArray, emptyType);
  rule(jsBoolean, nonPrimitive1, emptyType);
  rule(jsBoolean, nonPrimitive2, emptyType);
  rule(jsBoolean, potentialArray, emptyType);
  rule(jsBoolean, potentialString, emptyType);
  rule(jsBoolean, jsBooleanOrNull, jsBoolean);
  rule(jsBoolean, jsNumberOrNull, emptyType);
  rule(jsBoolean, jsIntegerOrNull, emptyType);
  rule(jsBoolean, jsDoubleOrNull, emptyType);
  rule(jsBoolean, jsStringOrNull, emptyType);
  rule(jsBoolean, nullType, emptyType);
  rule(jsBoolean, jsFixedArray, emptyType);

  rule(jsNumber, jsNumber, jsNumber);
  rule(jsNumber, jsInteger, jsInteger);
  rule(jsNumber, jsDouble, jsDouble);
  rule(jsNumber, jsIndexable, emptyType);
  rule(jsNumber, jsString, emptyType);
  rule(jsNumber, jsReadableArray, emptyType);
  rule(jsNumber, jsMutableArray, emptyType);
  rule(jsNumber, jsExtendableArray, emptyType);
  rule(jsNumber, jsUnmodifiableArray, emptyType);
  rule(jsNumber, nonPrimitive1, emptyType);
  rule(jsNumber, nonPrimitive2, emptyType);
  rule(jsNumber, potentialArray, emptyType);
  rule(jsNumber, potentialString, emptyType);
  rule(jsNumber, jsBooleanOrNull, emptyType);
  rule(jsNumber, jsNumberOrNull, jsNumber);
  rule(jsNumber, jsIntegerOrNull, jsInteger);
  rule(jsNumber, jsDoubleOrNull, jsDouble);
  rule(jsNumber, jsStringOrNull, emptyType);
  rule(jsNumber, nullType, emptyType);
  rule(jsNumber, jsFixedArray, emptyType);

  rule(jsInteger, jsInteger, jsInteger);
  rule(jsInteger, jsDouble, emptyType);
  rule(jsInteger, jsIndexable, emptyType);
  rule(jsInteger, jsString, emptyType);
  rule(jsInteger, jsReadableArray, emptyType);
  rule(jsInteger, jsMutableArray, emptyType);
  rule(jsInteger, jsExtendableArray, emptyType);
  rule(jsInteger, jsUnmodifiableArray, emptyType);
  rule(jsInteger, nonPrimitive1, emptyType);
  rule(jsInteger, nonPrimitive2, emptyType);
  rule(jsInteger, potentialArray, emptyType);
  rule(jsInteger, potentialString, emptyType);
  rule(jsInteger, jsBooleanOrNull, emptyType);
  rule(jsInteger, jsNumberOrNull, jsInteger);
  rule(jsInteger, jsIntegerOrNull, jsInteger);
  rule(jsInteger, jsDoubleOrNull, emptyType);
  rule(jsInteger, jsStringOrNull, emptyType);
  rule(jsInteger, nullType, emptyType);
  rule(jsInteger, jsFixedArray, emptyType);

  rule(jsDouble, jsDouble, jsDouble);
  rule(jsDouble, jsIndexable, emptyType);
  rule(jsDouble, jsString, emptyType);
  rule(jsDouble, jsReadableArray, emptyType);
  rule(jsDouble, jsMutableArray, emptyType);
  rule(jsDouble, jsExtendableArray, emptyType);
  rule(jsDouble, jsUnmodifiableArray, emptyType);
  rule(jsDouble, nonPrimitive1, emptyType);
  rule(jsDouble, nonPrimitive2, emptyType);
  rule(jsDouble, potentialArray, emptyType);
  rule(jsDouble, potentialString, emptyType);
  rule(jsDouble, jsBooleanOrNull, emptyType);
  rule(jsDouble, jsNumberOrNull, jsDouble);
  rule(jsDouble, jsIntegerOrNull, emptyType);
  rule(jsDouble, jsDoubleOrNull, jsDouble);
  rule(jsDouble, jsStringOrNull, emptyType);
  rule(jsDouble, nullType, emptyType);
  rule(jsDouble, jsFixedArray, emptyType);

  rule(jsIndexable, jsIndexable, jsIndexable);
  rule(jsIndexable, jsString, jsString);
  rule(jsIndexable, jsReadableArray, jsReadableArray);
  rule(jsIndexable, jsMutableArray, jsMutableArray);
  rule(jsIndexable, jsExtendableArray, jsExtendableArray);
  rule(jsIndexable, jsUnmodifiableArray, jsUnmodifiableArray);
  rule(jsIndexable, nonPrimitive1, emptyType);
  rule(jsIndexable, nonPrimitive2, emptyType);
  rule(jsIndexable, potentialArray, new TypeMask.nonNullSubtype(
      backend.jsArrayClass, compiler.world));
  rule(jsIndexable, potentialString, new TypeMask.nonNullSubtype(
      backend.jsStringClass, compiler.world));
  rule(jsIndexable, jsBooleanOrNull, emptyType);
  rule(jsIndexable, jsNumberOrNull, emptyType);
  rule(jsIndexable, jsIntegerOrNull, emptyType);
  rule(jsIndexable, jsDoubleOrNull, emptyType);
  rule(jsIndexable, jsStringOrNull, jsString);
  rule(jsIndexable, nullType, emptyType);
  rule(jsIndexable, jsFixedArray, jsFixedArray);

  rule(jsString, jsString, jsString);
  rule(jsString, jsReadableArray, emptyType);
  rule(jsString, jsMutableArray, emptyType);
  rule(jsString, jsExtendableArray, emptyType);
  rule(jsString, jsUnmodifiableArray, emptyType);
  rule(jsString, nonPrimitive1, emptyType);
  rule(jsString, nonPrimitive2, emptyType);
  rule(jsString, potentialArray, emptyType);
  rule(jsString, potentialString, jsString);
  rule(jsString, jsBooleanOrNull, emptyType);
  rule(jsString, jsNumberOrNull, emptyType);
  rule(jsString, jsIntegerOrNull, emptyType);
  rule(jsString, jsDoubleOrNull, emptyType);
  rule(jsString, jsStringOrNull, jsString);
  rule(jsString, nullType, emptyType);
  rule(jsString, jsFixedArray, emptyType);

  rule(jsReadableArray, jsReadableArray, jsReadableArray);
  rule(jsReadableArray, jsMutableArray, jsMutableArray);
  rule(jsReadableArray, jsExtendableArray, jsExtendableArray);
  rule(jsReadableArray, jsUnmodifiableArray, jsUnmodifiableArray);
  rule(jsReadableArray, nonPrimitive1, emptyType);
  rule(jsReadableArray, nonPrimitive2, emptyType);
  rule(jsReadableArray, potentialArray, jsReadableArray);
  rule(jsReadableArray, potentialString, emptyType);
  rule(jsReadableArray, jsBooleanOrNull, emptyType);
  rule(jsReadableArray, jsNumberOrNull, emptyType);
  rule(jsReadableArray, jsIntegerOrNull, emptyType);
  rule(jsReadableArray, jsDoubleOrNull, emptyType);
  rule(jsReadableArray, jsStringOrNull, emptyType);
  rule(jsReadableArray, nullType, emptyType);
  rule(jsReadableArray, jsFixedArray, jsFixedArray);

  rule(jsMutableArray, jsMutableArray, jsMutableArray);
  rule(jsMutableArray, jsExtendableArray, jsExtendableArray);
  rule(jsMutableArray, jsUnmodifiableArray, emptyType);
  rule(jsMutableArray, nonPrimitive1, emptyType);
  rule(jsMutableArray, nonPrimitive2, emptyType);
  rule(jsMutableArray, potentialArray, jsMutableArray);
  rule(jsMutableArray, potentialString, emptyType);
  rule(jsMutableArray, jsBooleanOrNull, emptyType);
  rule(jsMutableArray, jsNumberOrNull, emptyType);
  rule(jsMutableArray, jsIntegerOrNull, emptyType);
  rule(jsMutableArray, jsDoubleOrNull, emptyType);
  rule(jsMutableArray, jsStringOrNull, emptyType);
  rule(jsMutableArray, nullType, emptyType);
  rule(jsMutableArray, jsFixedArray, jsFixedArray);

  rule(jsExtendableArray, jsExtendableArray, jsExtendableArray);
  rule(jsExtendableArray, jsUnmodifiableArray, emptyType);
  rule(jsExtendableArray, nonPrimitive1, emptyType);
  rule(jsExtendableArray, nonPrimitive2, emptyType);
  rule(jsExtendableArray, potentialArray, jsExtendableArray);
  rule(jsExtendableArray, potentialString, emptyType);
  rule(jsExtendableArray, jsBooleanOrNull, emptyType);
  rule(jsExtendableArray, jsNumberOrNull, emptyType);
  rule(jsExtendableArray, jsIntegerOrNull, emptyType);
  rule(jsExtendableArray, jsDoubleOrNull, emptyType);
  rule(jsExtendableArray, jsStringOrNull, emptyType);
  rule(jsExtendableArray, nullType, emptyType);
  rule(jsExtendableArray, jsFixedArray, emptyType);

  rule(jsUnmodifiableArray, jsUnmodifiableArray, jsUnmodifiableArray);
  rule(jsUnmodifiableArray, nonPrimitive1, emptyType);
  rule(jsUnmodifiableArray, nonPrimitive2, emptyType);
  rule(jsUnmodifiableArray, potentialArray, jsUnmodifiableArray);
  rule(jsUnmodifiableArray, potentialString, emptyType);
  rule(jsUnmodifiableArray, jsBooleanOrNull, emptyType);
  rule(jsUnmodifiableArray, jsNumberOrNull, emptyType);
  rule(jsUnmodifiableArray, jsIntegerOrNull, emptyType);
  rule(jsUnmodifiableArray, jsDoubleOrNull, emptyType);
  rule(jsUnmodifiableArray, jsStringOrNull, emptyType);
  rule(jsUnmodifiableArray, nullType, emptyType);
  rule(jsUnmodifiableArray, jsFixedArray, emptyType);

  rule(nonPrimitive1, nonPrimitive1, nonPrimitive1);
  rule(nonPrimitive1, nonPrimitive2, emptyType);
  rule(nonPrimitive1, potentialArray, emptyType);
  rule(nonPrimitive1, potentialString, emptyType);
  rule(nonPrimitive1, jsBooleanOrNull, emptyType);
  rule(nonPrimitive1, jsNumberOrNull, emptyType);
  rule(nonPrimitive1, jsIntegerOrNull, emptyType);
  rule(nonPrimitive1, jsDoubleOrNull, emptyType);
  rule(nonPrimitive1, jsStringOrNull, emptyType);
  rule(nonPrimitive1, nullType, emptyType);
  rule(nonPrimitive1, jsFixedArray, emptyType);

  rule(nonPrimitive2, nonPrimitive2, nonPrimitive2);
  rule(nonPrimitive2, potentialArray, emptyType);
  rule(nonPrimitive2, potentialString, emptyType);
  rule(nonPrimitive2, jsBooleanOrNull, emptyType);
  rule(nonPrimitive2, jsNumberOrNull, emptyType);
  rule(nonPrimitive2, jsIntegerOrNull, emptyType);
  rule(nonPrimitive2, jsDoubleOrNull, emptyType);
  rule(nonPrimitive2, jsStringOrNull, emptyType);
  rule(nonPrimitive2, nullType, emptyType);
  rule(nonPrimitive2, jsFixedArray, emptyType);

  rule(potentialArray, potentialArray, potentialArray);
  rule(potentialArray, potentialString, nullType);
  rule(potentialArray, jsBooleanOrNull, nullType);
  rule(potentialArray, jsNumberOrNull, nullType);
  rule(potentialArray, jsIntegerOrNull, nullType);
  rule(potentialArray, jsDoubleOrNull, nullType);
  rule(potentialArray, jsStringOrNull, nullType);
  rule(potentialArray, nullType, nullType);
  rule(potentialArray, jsFixedArray, jsFixedArray);

  rule(potentialString, potentialString, potentialString);
  rule(potentialString, jsBooleanOrNull, nullType);
  rule(potentialString, jsNumberOrNull, nullType);
  rule(potentialString, jsIntegerOrNull, nullType);
  rule(potentialString, jsDoubleOrNull, nullType);
  rule(potentialString, jsStringOrNull, jsStringOrNull);
  rule(potentialString, nullType, nullType);
  rule(potentialString, jsFixedArray, emptyType);

  rule(jsBooleanOrNull, jsBooleanOrNull, jsBooleanOrNull);
  rule(jsBooleanOrNull, jsNumberOrNull, nullType);
  rule(jsBooleanOrNull, jsIntegerOrNull, nullType);
  rule(jsBooleanOrNull, jsDoubleOrNull, nullType);
  rule(jsBooleanOrNull, jsStringOrNull, nullType);
  rule(jsBooleanOrNull, nullType, nullType);
  rule(jsBooleanOrNull, jsFixedArray, emptyType);

  rule(jsNumberOrNull, jsNumberOrNull, jsNumberOrNull);
  rule(jsNumberOrNull, jsIntegerOrNull, jsIntegerOrNull);
  rule(jsNumberOrNull, jsDoubleOrNull, jsDoubleOrNull);
  rule(jsNumberOrNull, jsStringOrNull, nullType);
  rule(jsNumberOrNull, nullType, nullType);
  rule(jsNumberOrNull, jsFixedArray, emptyType);

  rule(jsIntegerOrNull, jsIntegerOrNull, jsIntegerOrNull);
  rule(jsIntegerOrNull, jsDoubleOrNull, nullType);
  rule(jsIntegerOrNull, jsStringOrNull, nullType);
  rule(jsIntegerOrNull, nullType, nullType);
  rule(jsIntegerOrNull, jsFixedArray, emptyType);

  rule(jsDoubleOrNull, jsDoubleOrNull, jsDoubleOrNull);
  rule(jsDoubleOrNull, jsStringOrNull, nullType);
  rule(jsDoubleOrNull, nullType, nullType);
  rule(jsDoubleOrNull, jsFixedArray, emptyType);

  rule(jsStringOrNull, jsStringOrNull, jsStringOrNull);
  rule(jsStringOrNull, nullType, nullType);
  rule(jsStringOrNull, jsFixedArray, emptyType);

  rule(nullType, nullType, nullType);
  rule(nullType, jsFixedArray, emptyType);

  rule(jsFixedArray, jsFixedArray, jsFixedArray);

  ruleSet.validateCoverage();
}

void testRegressions(MockCompiler compiler) {
  TypeMask nonNullPotentialString = new TypeMask.nonNullSubtype(
      patternClass, compiler.world);
  Expect.equals(
      potentialString, jsStringOrNull.union(
          nonNullPotentialString, compiler.world));
}

void main() {
  asyncTest(() => MockCompiler.create((MockCompiler compiler) {
    JavaScriptBackend backend = compiler.backend;
    World world = compiler.world;
    backend.interceptorsLibrary.forEachLocalMember((element) {
      if (element.isClass) {
        element.ensureResolved(compiler.resolution);
        backend.registerInstantiatedType(
            element.rawType,
            compiler.enqueuer.resolution,
            compiler.globalDependencies);
      }
    });
    backend.registerInstantiatedType(
        compiler.coreTypes.mapType(),
        compiler.enqueuer.resolution,
        compiler.globalDependencies);
    backend.registerInstantiatedType(
        compiler.coreTypes.functionType,
        compiler.enqueuer.resolution,
        compiler.globalDependencies);
    compiler.world.populate();

    // Grab hold of a supertype for String so we can produce potential
    // string types.
    patternClass = compiler.coreLibrary.find('Pattern');

    nonPrimitive1 = new TypeMask.nonNullSubtype(
        compiler.mapClass, world);
    nonPrimitive2 = new TypeMask.nonNullSubtype(
        compiler.functionClass, world);
    potentialArray = new TypeMask.subtype(
        compiler.listClass, world);
    potentialString = new TypeMask.subtype(patternClass, world);
    jsInterceptor = new TypeMask.nonNullSubclass(backend.jsInterceptorClass,
        world);
    jsArrayOrNull = new TypeMask.subclass(backend.jsArrayClass, world);
    jsReadableArray = new TypeMask.nonNullSubclass(backend.jsArrayClass,
        world);
    jsMutableArrayOrNull = new TypeMask.subclass(backend.jsMutableArrayClass,
        world);
    jsMutableArray = new TypeMask.nonNullSubclass(backend.jsMutableArrayClass,
        world);
    jsFixedArrayOrNull = new TypeMask.exact(backend.jsFixedArrayClass, world);
    jsFixedArray = new TypeMask.nonNullExact(backend.jsFixedArrayClass, world);
    jsExtendableArrayOrNull = new TypeMask.exact(backend.jsExtendableArrayClass,
        world);
    jsExtendableArray = new TypeMask.nonNullExact(
        backend.jsExtendableArrayClass, world);
    jsUnmodifiableArrayOrNull =
        new TypeMask.exact(backend.jsUnmodifiableArrayClass, world);
    jsUnmodifiableArray =
        new TypeMask.nonNullExact(backend.jsUnmodifiableArrayClass, world);
    jsIndexableOrNull = new TypeMask.subtype(backend.jsIndexableClass, world);
    jsIndexable = new TypeMask.nonNullSubtype(backend.jsIndexableClass, world);
    jsInterceptorOrNull = new TypeMask.subclass(backend.jsInterceptorClass,
        world);
    jsStringOrNull = new TypeMask.exact(backend.jsStringClass, world);
    jsString = new TypeMask.nonNullExact(backend.jsStringClass, world);
    jsBoolean = new TypeMask.nonNullExact(backend.jsBoolClass, world);
    jsNumber = new TypeMask.nonNullSubclass(backend.jsNumberClass, world);
    jsInteger = new TypeMask.nonNullExact(backend.jsIntClass, world);
    jsDouble = new TypeMask.nonNullExact(backend.jsDoubleClass, world);
    jsBooleanOrNull = new TypeMask.exact(backend.jsBoolClass, world);
    jsNumberOrNull = new TypeMask.subclass(backend.jsNumberClass, world);
    jsIntegerOrNull = new TypeMask.exact(backend.jsIntClass, world);
    jsDoubleOrNull = new TypeMask.exact(backend.jsDoubleClass, world);
    nullType = const TypeMask.empty();
    objectType = new TypeMask.nonNullSubclass(
        compiler.objectClass, world);
    emptyType = const TypeMask.nonNullEmpty();
    dynamicType = new TypeMask.subclass(
        compiler.objectClass, world);

    testUnion(compiler);
    testIntersection(compiler);
    testRegressions(compiler);
  }));
}