fix(input): register builtin parsers/formatters before anyone else

Previously, builtin parsers/formatters for e.g. `input[date]`
or `input[number]` were added in the post linking phase to `ngModelController`,
which in most cases was after a custom formatter/parser was registered.

This commit registers builtin parsers/formatters already
in the pre linking phase. With that builtin 
parsers run first, and builtin formatters run last.

Closes angular#9218
Closes angular#9358

src/ng/directive/input.js

@@ -1091,16 +1091,15 @@ function createDateInputType(type, regexp, parseDate, format) {
     badInputChecker(scope, element, attr, ctrl);
     baseInputType(scope, element, attr, ctrl, $sniffer, $browser);
     var timezone = ctrl && ctrl.$options && ctrl.$options.timezone;
+    var previousDate;
 
     ctrl.$$parserName = type;
     ctrl.$parsers.push(function(value) {
       if (ctrl.$isEmpty(value)) return null;
       if (regexp.test(value)) {
-        var previousDate = ctrl.$modelValue;
-        if (previousDate && timezone === 'UTC') {
-          var timezoneOffset = 60000 * previousDate.getTimezoneOffset();
-          previousDate = new Date(previousDate.getTime() + timezoneOffset);
-        }
+        // Note: We cannot read ctrl.$modelValue, as there might be a different
+        // parser/formatter in the processing chain so that the model
+        // contains some different data format!
         var parsedDate = parseDate(value, previousDate);
         if (timezone === 'UTC') {
           parsedDate.setMinutes(parsedDate.getMinutes() - parsedDate.getTimezoneOffset());
@@ -1112,7 +1111,14 @@ function createDateInputType(type, regexp, parseDate, format) {
 
     ctrl.$formatters.push(function(value) {
       if (isDate(value)) {
+        previousDate = value;
+        if (previousDate && timezone === 'UTC') {
+          var timezoneOffset = 60000 * previousDate.getTimezoneOffset();
+          previousDate = new Date(previousDate.getTime() + timezoneOffset);
+        }
         return $filter('date')(value, format, timezone);
+      } else {
+        previousDate = null;
       }
       return '';
     });
@@ -1452,10 +1458,12 @@ var inputDirective = ['$browser', '$sniffer', '$filter', '$parse',
   return {
     restrict: 'E',
     require: ['?ngModel'],
-    link: function(scope, element, attr, ctrls) {
-      if (ctrls[0]) {
-        (inputType[lowercase(attr.type)] || inputType.text)(scope, element, attr, ctrls[0], $sniffer,
-                                                            $browser, $filter, $parse);
+    link: {
+      pre: function(scope, element, attr, ctrls) {
+        if (ctrls[0]) {
+          (inputType[lowercase(attr.type)] || inputType.text)(scope, element, attr, ctrls[0], $sniffer,
+                                                              $browser, $filter, $parse);
+        }
       }
     }
   };
@@ -2380,6 +2388,10 @@ var ngModelDirective = function() {
     restrict: 'A',
     require: ['ngModel', '^?form', '^?ngModelOptions'],
     controller: NgModelController,
+    // Prelink needs to run before any input directive
+    // so that we can set the NgModelOptions in NgModelController
+    // before anyone else uses it.
+    priority: 1,
     link: {
       pre: function(scope, element, attr, ctrls) {
         var modelCtrl = ctrls[0],

test/ng/directive/inputSpec.js

@@ -946,6 +946,69 @@ describe('ngModel', function() {
     dealoc(element);
   }));
 
+  describe('custom formatter and parser that are added by a directive in post linking', function() {
+    var inputElm, scope;
+    beforeEach(module(function($compileProvider) {
+      $compileProvider.directive('customFormat', function() {
+        return {
+          require: 'ngModel',
+          link: function(scope, element, attrs, ngModelCtrl) {
+            ngModelCtrl.$formatters.push(function(value) {
+              return value.part;
+            });
+            ngModelCtrl.$parsers.push(function(value) {
+              return {part: value};
+            });
+          }
+        };
+      });
+    }));
+
+    afterEach(function() {
+      dealoc(inputElm);
+    });
+
+    function createInput(type) {
+      inject(function($compile, $rootScope) {
+        scope = $rootScope;
+        inputElm = $compile('<input type="'+type+'" ng-model="val" custom-format/>')($rootScope);
+      });
+    }
+
+    it('should use them after the builtin ones for text inputs', function() {
+      createInput('text');
+      scope.$apply('val = {part: "a"}');
+      expect(inputElm.val()).toBe('a');
+
+      inputElm.val('b');
+      browserTrigger(inputElm, 'change');
+      expect(scope.val).toEqual({part: 'b'});
+    });
+
+    it('should use them after the builtin ones for number inputs', function() {
+      createInput('number');
+      scope.$apply('val = {part: 1}');
+      expect(inputElm.val()).toBe('1');
+
+      inputElm.val('2');
+      browserTrigger(inputElm, 'change');
+      expect(scope.val).toEqual({part: 2});
+    });
+
+    it('should use them after the builtin ones for date inputs', function() {
+      createInput('date');
+      scope.$apply(function() {
+        scope.val = {part: new Date(2000, 10, 8)};
+      });
+      expect(inputElm.val()).toBe('2000-11-08');
+
+      inputElm.val('2001-12-09');
+      browserTrigger(inputElm, 'change');
+      expect(scope.val).toEqual({part: new Date(2001, 11, 9)});
+    });
+  });
+
+
   it('should always format the viewValue as a string for a blank input type when the value is present',
     inject(function($compile, $rootScope, $sniffer) {