Вот то, с чем я столкнулся, и работает именно так, как задумано. Он принимает дату, изменяет дату на первое число месяца и получает день этой даты:
NSDateComponents *components = [[NSCalendar currentCalendar] components:NSCalendarUnitDay | NSCalendarUnitMonth | NSCalendarUnitYear fromDate:date];
NSDateComponents *monthDateComponents = [[NSCalendar currentCalendar] components: NSCalendarUnitDay | NSCalendarUnitMonth | NSCalendarUnitYear |
NSCalendarUnitHour | NSCalendarUnitMinute | NSCalendarUnitSecond fromDate: date];
// build date as start of month
monthDateComponents.year = components.year;
monthDateComponents.month = components.month;
monthDateComponents.day = 1;
NSCalendar *gregorian = [[NSCalendar alloc] initWithCalendarIdentifier:NSCalendarIdentifierGregorian];
// [gregorian setFirstWeekday:1];
NSDate *builtDate =[gregorian dateFromComponents: monthDateComponents];
// NSDateComponents *weekdayComponents =[gregorian components: NSCalendarUnitWeekday fromDate: builtDate];
NSDateFormatter *df = [NSDateFormatter new];
[df setDateFormat:@"E"];
NSString *firstDay = [df stringFromDate:builtDate];
if([firstDay isEqual:@"Sun"]) // do for the other 6 days as appropriate
return 7;