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Calendar Time
1.3.0
moment().calendar(); moment().calendar(referenceDay); moment().calendar(referenceDay, formats); // from 2.10.5 moment().calendar(formats); // from 2.25.0

Calendar time displays time relative to a given referenceDay (defaults to the start of today), but does so slightly differently than moment#fromNow.

moment#calendar will format a date with different strings depending on how close to referenceDay's date (today by default) the date is.

Last week Last Monday at 2:30 AM
The day before Yesterday at 2:30 AM
The same day Today at 2:30 AM
The next day Tomorrow at 2:30 AM
The next week Sunday at 2:30 AM
Everything else 7/10/2011

These strings are localized, and can be customized.

From 2.10.5 moment supports specifying calendar output formats per invocation:

moment().calendar(null, {
    sameDay: '[Today]',
    nextDay: '[Tomorrow]',
    nextWeek: 'dddd',
    lastDay: '[Yesterday]',
    lastWeek: '[Last] dddd',
    sameElse: 'DD/MM/YYYY'
});

sameElse is used as the format when the moment is more than a week away from the referenceDay

Note: From version 2.14.0 the formats argument to calendar can be a callback that is executed within the moment context with a single argument now:

moment().calendar(null, {
  sameDay: function (now) {
    if (this.isBefore(now)) {
      return '[Will Happen Today]';
    } else {
      return '[Happened Today]';
    }
    /* ... */
  }
});

Note: From version 2.25.0 you can only pass a formats argument, it could be an object of strings and functions:

moment().calendar({
    sameDay: '[Today]',
    nextDay: '[Tomorrow]',
    nextWeek: 'dddd',
    lastDay: '[Yesterday]',
    lastWeek: '[Last] dddd',
    sameElse: 'DD/MM/YYYY'
});

moment().calendar({
  sameDay: function (now) {
    if (this.isBefore(now)) {
      return '[Will Happen Today]';
    } else {
      return '[Happened Today]';
    }
    /* ... */
  }
});