How to format a date using ng-model?

I have an input defined as

<input class="datepicker" type="text" ng-model="clientForm.birthDate" />

Which is rigged up to be displayed elsewhere on the page:

<tr>
    <th>Birth Date</th>
    <td>{{client.birthDate|date:'mediumDate'}}</td>
</tr>

When the page loads the birth date is nicely formatted as something like Dec 22, 2009. However, when I look inside my <input> it's shown as Tue Dec 22 2009 00:00:00 GMT-0800 (Pacific Standard Time) which I guess is how JS renders Date objects as strings.

Firstly, how do I tell Angular to show the date in the <input> as something like 12/22/2009? I can't seem to apply |filters inside the ng-model attribute.

Secondly, as soon as I edit the date, even keeping it in it's original format, my other text (inside the <td>) doesn't seem to apply the |date filter anymore; it suddenly changes formats to match that of the input textbox. How do I get it to apply the |date filter every time the model changes?

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Related questions:

• How do I get my directive to only fire on onchange?
• How to access arguments in a directive?

Use custom validation of forms http://docs.angularjs.org/guide/forms Demo: http://plnkr.co/edit/NzeauIDVHlgeb6qF75hX?p=preview

Directive using formaters and parsers and MomentJS )

angModule.directive('moDateInput', function ($window) {
    return {
        require:'^ngModel',
        restrict:'A',
        link:function (scope, elm, attrs, ctrl) {
            var moment = $window.moment;
            var dateFormat = attrs.moDateInput;
            attrs.$observe('moDateInput', function (newValue) {
                if (dateFormat == newValue || !ctrl.$modelValue) return;
                dateFormat = newValue;
                ctrl.$modelValue = new Date(ctrl.$setViewValue);
            });

            ctrl.$formatters.unshift(function (modelValue) {
                if (!dateFormat || !modelValue) return "";
                var retVal = moment(modelValue).format(dateFormat);
                return retVal;
            });

            ctrl.$parsers.unshift(function (viewValue) {
                var date = moment(viewValue, dateFormat);
                return (date && date.isValid() && date.year() > 1950 ) ? date.toDate() : "";
            });
        }
    };
});