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<!DOCTYPE HTML>
<html>
<head>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>Calendar Calculation</title>
<link rel="stylesheet" href="explanation.css">
<script type="text/javascript">
var months = [
"January", "February", "March", "April",
"May", "June", "July", "August",
"September", "October", "November", "December"
];
</script>
<script type="text/javascript">
function leap_year (y) {
if ( y % 4 )
return false;
if ( !(y % 100) && (y % 400) )
return false;
return true;
}
</script>
<script type="text/javascript">
var days = ["Sunday", "Monday", "Tuesday", "Wednesday", "Thursday", "Friday", "Saturday"];
</script>
<script type="text/javascript">
/**
* The hard and short way
* (Christian Zeller, 1882)
*/
function weekday (y, m, d) {
if ( m < 2 )
y -= 1;
return w = (((
d + Math.floor(2.6 * ((m + 10) % 12 + 1) - 0.2)
+ y % 100 + Math.floor(y % 100 / 4)
+ Math.floor(y / 400)
- 2 * Math.floor(y / 100) - 1
) % 7 + 7) % 7 + 1) % 7;
}
</script>
<script type="text/javascript">
function last_date_of_month (y, m) {
if ( m < 0 )
m += 12;
m = m % 12;
var list = [
31,
28,
31,
30,
31,
30,
31,
31,
30,
31,
30,
31
];
if ( m == 1 && leap_year(y) )
list[1] = 29;
return list[m];
}
</script>
<script type="text/javascript">
function first_date_later (y1, y2, m1, m2, d1, d2) {
var units = [y1, y2, m1, m2, d1, d2];
for ( var i = 0; i < units.length; i += 2 ) {
if ( units[i] < units[i + 1] )
return false;
if ( units[i] > units[i + 1] )
return true;
}
return false;
}
</script>
<script type="text/javascript">
function date_distance (y1, m1, d1, y2, m2, d2) {
if ( first_date_later(y1, y2, m1, m2, d1, d2) ) {
var tmp = [y1, m1, d1];
y1 = y2;
m1 = m2;
d1 = d2;
y2 = tmp[0];
m2 = tmp[1];
d2 = tmp[2];
}
if ( y1 == y2 && m1 == m2 )
return d2 - d1 + 1;
var i;
var days = 0;
var year_difference = y2 - y1;
if ( year_difference > 400 ) {
var factor = Math.floor(year_difference / 400);
if ( !(year_difference % 400) )
factor -= 1;
days += factor * 146097; // 146097 days are 400 years
y1 += factor * 400;
}
days += last_date_of_month(y1, m1) - d1 + 1;
var limit = (y1 == y2) ? m2 : 12;
for ( i = (m1 + 1); i < limit; i++ )
days += last_date_of_month(y1, i);
if ( y1 != y2 ) {
days += (y2 - y1 - 1) * 365;
var small_leap = Math.ceil((y1 + 1) / 4) * 4;
var large_leap = Math.floor((y2 - 1) / 4) * 4;
if ( large_leap >= small_leap ) {
days += (large_leap - small_leap) / 4 + 1;
for ( i = (Math.ceil(small_leap / 100) * 100); i <= (Math.floor(large_leap / 100) * 100); i += 100 ) {
if ( !(i % 400) )
continue;
days -= 1;
}
}
for ( i = 0; i < m2; i++ )
days += last_date_of_month(y2, i);
}
days += d2;
return days;
}
</script>
<script type="text/javascript">
// `2000-01-01` is known to be Saturday
var DAY_INDEX_0_0_1 = 6;
</script>
<script type="text/javascript">
function sql_date (time_values) {
var result = "";
if ( time_values.length && time_values[0] >= 1900 && time_values[0] <= 2100 ) {
result += time_values[0];
while ( result.length < 4 )
result = "0" + result;
if ( time_values.length > 1 ) {
var m = "" + (time_values[1] + 1);
if ( m.length < 2 )
m = "0" + m;
result += "-" + m;
if ( time_values.length > 2 ) {
var d = "" + time_values[2];
if ( d.length < 2 )
d = "0" + d;
result += "-" + d;
}
}
}
return result;
}
</script>
<script type="text/javascript">
function calculate_year (zone, year) {
var entry, entries;
entry = zone.querySelector("sub[name='0']");
if ( entry )
entry.innerHTML = "[" + months.join(", ") + "]";
var leap = leap_year(year);
entry = zone.querySelector("span[name='1']");
if ( entry ) {
if ( leap )
entry.innerHTML = "2 days";
else
entry.innerHTML = "1 day";
}
var calendar_weeks = 52;
var new_year = new Date(year, 0, 1);
var new_year_day_index = new_year.getDay();
if ( (new_year_day_index == 3 && leap) || new_year_day_index == 4 )
calendar_weeks = 53;
entry = zone.querySelector("span[name='2']");
if ( entry )
entry.innerHTML = calendar_weeks;
entry = zone.querySelector("span[name='3']");
if ( entry )
entry.innerHTML = (leap) ? 366 : 365;
entries = zone.querySelectorAll("span[name='y']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = year;
entries = zone.querySelectorAll("span[name='nydi']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = new_year_day_index;
}
function calculate_month (zone, year, month) {
var entry, entries, i;
var amount_days = last_date_of_month(year, month);
entry = zone.querySelector("span[name='0']");
if ( entry )
entry.innerHTML = amount_days;
var first = new Date(year, month, 1);
var offset = (first.getDay() || 7) - 1;
var amount_days_month_before = last_date_of_month(year, (month - 1));
var tmp;
var start = [];
var end = [];
var tmp2 = 1 - offset;
while ( (tmp2 + 7) <= amount_days )
tmp2 += 7;
var counter = 0;
for ( i = 0; i < 7; i++ ) {
tmp = i - offset + 1;
if ( tmp > 0 )
start.push(tmp);
else
start.push(amount_days_month_before + tmp);
tmp = i + tmp2;
if ( tmp <= amount_days )
end.push(tmp);
else
end.push(++counter);
}
entry = zone.querySelector("span[name='tmp2']");
if ( entry )
entry.innerHTML = tmp2;
entry = zone.querySelector("span[name='1']");
if ( entry )
entry.innerHTML = "\t" + start.join("\t");
entry = zone.querySelector("span[name='2']");
if ( entry )
entry.innerHTML = "\t" + end.join("\t");
entries = zone.querySelectorAll("span[name='y']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = year;
entries = zone.querySelectorAll("span[name='m']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = month;
entries = zone.querySelectorAll("span[name='mn']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = months[month];
entries = zone.querySelectorAll("span[name='offset']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = offset;
entries = zone.querySelectorAll("span[name='ab']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = amount_days_month_before;
}
function calculate_day (zone, year, month, day) {
var entry, entries, i;
entry = zone.querySelector("span[name='0']");
if ( entry )
entry.innerHTML = months[month];
var date = new Date(year, month, day);
var day_index = date.getDay();
entry = zone.querySelector("span[name='1']");
if ( entry )
entry.innerHTML = days[day_index];
var day_index2 = weekday(year, month, day);
entry = zone.querySelector("span[name='2']");
if ( entry )
entry.innerHTML = days[day_index2];
var reference_year = Math.floor(year / 400) * 400;
var distance = date_distance(reference_year, 0, 1, year, month, day) - 1;
var day_index3 = (distance + DAY_INDEX_0_0_1) % 7;
entry = zone.querySelector("span[name='3']");
if ( entry )
entry.innerHTML = days[day_index3];
var day_of_year = date_distance(year, 0, 1, year, month, day);
var new_year_distance = date_distance(reference_year, 0, 1, year, 0, 1) - 1;
var new_year_index = ((new_year_distance + DAY_INDEX_0_0_1) % 7) || 7;
var calendar_week = (new_year_index < 5) ? Math.ceil(day_of_year / 7) : Math.floor(day_of_year / 7);
var ceil = zone.querySelector("span.ceil");
var floor = zone.querySelector("span.floor");
if ( ceil && floor ) {
if ( new_year_index >= 5 ) {
ceil.classList.remove("important");
floor.classList.add("important");
}
else {
ceil.classList.add("important");
floor.classList.remove("important");
}
}
entry = zone.querySelector("span[name='4']");
if ( entry )
entry.innerHTML = calendar_week;
entries = zone.querySelectorAll("span[name='y']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = year;
entries = zone.querySelectorAll("span[name='m']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = month;
entries = zone.querySelectorAll("span[name='d']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = day;
entries = zone.querySelectorAll("span[name='di']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = day_index;
entries = zone.querySelectorAll("span[name='di2']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = day_index2;
entries = zone.querySelectorAll("span[name='ry']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = reference_year;
entries = zone.querySelectorAll("span[name='dist']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = distance;
entries = zone.querySelectorAll("span[name='di3']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = day_index3;
entries = zone.querySelectorAll("span[name='doy']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = day_of_year;
entries = zone.querySelectorAll("span[name='nyd']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = new_year_distance;
entries = zone.querySelectorAll("span[name='nyi']");
for ( i = 0; i < entries.length; i++ )
entries[i].innerHTML = new_year_index;
}
function calculate (zone, zone_name, time_values) {
switch (zone_name) {
case "year":
calculate_year(zone, time_values[0]);
break;
case "month":
calculate_month(zone, time_values[0], time_values[1]);
break;
case "day":
calculate_day(zone, time_values[0], time_values[1], time_values[2]);
break;
}
var a = zone.querySelector("a");
if ( a ) {
a.onclick = function () {
var formatted_date = sql_date(time_values);
if ( !formatted_date )
return true;
window.open(this.href + "?" + formatted_date, "calendar");
return false;
};
if ( time_values[0] < 1900 || time_values[0] > 2100 )
a.classList.add("deactivated");
else
a.classList.remove("deactivated");
}
}
var zones;
var initialised = {};
var scripts;
function show_zone (zone_name) {
zones = zones || document.querySelectorAll("div.section.zone");
zone = document.querySelector("div.section.zone." + zone_name);
if ( !zone )
return;
var i;
for ( i = 0; i < zones.length; i++ )
zones[i].style.display = (zones[i] == zone) ? "block" : "none";
if ( initialised[zone_name] )
return false;
var link = document.createElement("div");
link.className = "link";
var a = document.createElement("a");
a.href = "calendar.html";
a.target = "_BLANK";
a.innerHTML = zone_name.toUpperCase() + " EXAMPLE";
link.appendChild(a);
zone.insertBefore(link, zone.querySelector("pre"));
scripts = scripts || document.querySelectorAll("script");
var code_zones = zone.querySelectorAll("code");
var name;
for ( i = 0; i < code_zones.length; i++ ) {
name = code_zones[i].getAttribute("name");
if ( !name )
continue;
name = +name
if ( scripts[name] )
code_zones[i].innerHTML = scripts[name].innerHTML;
}
var now = new Date();
var inputs = zone.querySelectorAll("input");
var time_values = [];
var value, fnc, interval;
for ( i = 0; i < inputs.length; i++ ) {
switch (i) {
case 0:
value = now.getFullYear();
interval = [1, 9999];
break;
case 1:
value = now.getMonth();
interval = [0, 11];
break;
case 2:
value = now.getDate();
interval = [1, 31];
break;
}
inputs[i].value = value;
time_values.push( value );
fnc = (function (input, index, interv) {
return function (e) {
var v = input.value.trim();
if ( !v || isNaN(v) ) {
if ( e.type == "blur" )
input.value = time_values[index];
return;
}
v = parseInt(v);
if ( v >= interv[0] && v <= interv[1] ) {
time_values[index] = v;
calculate(zone, zone_name, time_values);
return;
}
input.value = time_values[index];
}
})(inputs[i], i, interval);
inputs[i].addEventListener("input", fnc);
inputs[i].addEventListener("blur", fnc);
}
calculate(zone, zone_name, time_values);
initialised[zone_name] = true;
return false;
}
</script>
</head>
<body>
<div class="section">
<header>
<h1>
Calendar
</h1>
<p></p>
<p class="view">
<a href="https://github.com/mentalmove/calendar">
View the Project on GitHub
</a>
</p>
</header>
<br><br><br><br>
<div class="inner">
<h1>
Calendar Calculation
</h1>
<br><br>
<h2>
Relations between calendar units
</h2>
<br>
</div>
<ul>
<li>
<a href="#" onclick="return show_zone('year')">
Year
</a>
</li>
<li>
<a href="#" onclick="return show_zone('month')">
Month
</a>
</li>
<li>
<a href="#" onclick="return show_zone('day')">
Day
</a>
</li>
</ul>
</div>
<br><br>
<div class="section zone year">
<pre>
Year: <input>
<code name="0"></code>
<h3 class="inline">Months:</h3> 12 <sub class="ellipsis" name="0">MONTH NAMES</sub>
<code name="1"></code>
<code>var additional_days = ( leap_year(<span class="important" name="y">y</span>) ) ? 2 : 1;</code>
<h3 class="inline">Weeks:</h3> 52 + <span name="1">ADDITIONAL DAYS</span>
<code>var calendar_weeks = 52; // Default
/**
* To see different pure arithmetic solutions, refer to chapter `Day`
*/
var new_year = new Date(<span class="important" name="y">y</span>, 0, 1);
var new_year_day_index = new_year.getDay(); // <span name="nydi">NEW YEAR DAY INDEX</span>
if ( (<span class="important" name="nydi">NEW YEAR DAY INDEX</span> == 3 && leap_year(<span class="important" name="y">y</span>)) || <span class="important" name="nydi">NEW YEAR DAY INDEX</span> == 4 )
calendar_weeks = 53;</code>
<h3 class="inline">Calendar Weeks:</h3> <span name="2">CALENDAR WEEKS</span>
<code>var days = ( leap_year(<span class="important" name="y">y</span>) ) ? 366 : 365;</code>
<h3 class="inline">DAYS:</h3> <span name="3">AMOUNT DAYS</span>
</pre>
</div>
<div class="section zone month">
<pre>
Year: <input> Month (zero based): <input>
<code name="0"></code>
<code>var month_name = months[<span class="important" name="m">m</span>];</code>
<h3 class="inline">Month name:</h3> <span name="mn">MONTH NAME</span>
<code name="1"></code>
<code name="4"></code>
<code>var amount_days = last_date_of_month(<span class="important" name="y">y</span>, <span class="important" name="m">m</span>);</code>
<h3 class="inline">Days in <span name="mn">MONTH NAME</span> <span name="y">y</span>:</h3> <span name="0">AMOUNT DAYS</span>
<code>/**
* To see different pure arithmetic solutions, refer to chapter `Day`
*/
var tmp, i;
var first = new Date(<span class="important" name="y">y</span>, <span class="important" name="m">m</span>, 1);
var offset = (first.getDay() || 7) - 1; // <span name="offset">OFFSET</span>
var amount_days_month_before = last_date_of_month(<span class="important" name="y">y</span>, (<span class="important" name="m">m</span> - 1)); // <span name="ab">AMOUNT DAYS MONTH BEFORE</span>
var start = [];
var end = [];
var tmp2 = 1 - <span class="important" name="offset">OFFSET</span>;
while ( (tmp2 + 7) <= amount_days )
tmp2 += 7;
var counter = 0;
for ( i = 0; i < 7; i++ ) {
tmp = i - <span class="important" name="offset">OFFSET</span> + 1;
if ( tmp > 0 )
start.push(tmp);
else
start.push(<span class="important" name="ab">AMOUNT DAYS MONTH BEFORE</span> + tmp);
tmp = i + <span class="important" name="tmp2">TMP2</span>;
if ( tmp <= amount_days )
end.push(tmp);
else
end.push(++counter);
}</code>
<h3 class="inline">First (partial) week:</h3> <span name="1">FIRST WEEK</span>
<h3 class="inline">Last (partial) week:</h3> <span name="2">LAST WEEK</span>
</pre>
</div>
<div class="section zone day">
<pre>
Year: <input> Month (zero based): <input> Day: <input>
<code name="0"></code>
<code>var month_name = months[<span class="important" name="m">m</span>];</code>
<h3 class="inline">Month name:</h3> <span name="0">MONTH NAME</span>
<code name="2"></code>
<code>var date = new Date(<span class="important" name="y">y</span>, <span class="important" name="m">m</span>, <span class="important" name="d">d</span>);
var day_index = date.getDay(); // <span name="di">DAY INDEX</span>
var day_name = days[<span class="important" name="di">DAY INDEX</span>];</code>
<h3 class="inline">Day name:</h3> <span name="1">DAY NAME</span>
<code name="3"></code>
<code>day_index = weekday(<span class="important" name="y">y</span>, <span class="important" name="m">m</span>, <span class="important" name="d">d</span>); // <span name="di2">DAY INDEX</span>
day_name = days[<span class="important" name="di2">DAY INDEX</span>];</code>
<h3 class="inline">Day name:</h3> <span name="2">DAY NAME</span>
<code>/**
* The hard and long way
* (with useful side-effects)
*/</code>
<code name="1"></code>
<code name="4"></code>
<code name="5"></code>
<code name="6"></code>
<code>var reference_year = Math.floor(<span class="important" name="y">y</span> / 400) * 400; // <span name="ry">REFERENCE YEAR</span>
var distance = date_distance(<span class="important" name="ry">REFERENCE YEAR</span>, 0, 1, <span class="important" name="y">y</span>, <span class="important" name="m">m</span>, <span class="important" name="d">d</span>) - 1; // <span name="dist">DISTANCE</span></code>
<code name="7"></code>
<code>day_index = (<span class="important" name="dist">DISTANCE</span> + DAY_INDEX_0_0_1) % 7; // <span name="di3">DAY INDEX</span>
day_name = days[<span class="important" name="di3">DAY INDEX</span>];</code>
<h3 class="inline">Day name:</h3> <span name="3">DAY NAME</span>
<code>var day_of_year = date_distance(<span class="important" name="y">y</span>, 0, 1, <span class="important" name="y">y</span>, <span class="important" name="m">m</span>, <span class="important" name="d">d</span>);</code>
<h3 class="inline">Day of year:</h3> <span name="doy">DAY OF YEAR</span>
<code>var new_year_distance = date_distance(reference_year, 0, 1, <span class="important" name="y">y</span>, 0, 1) - 1; // <span name="nyd">NEW YEAR DISTANCE</span>
// Sunday must be `7`, not `0`!
var new_year_index = ((<span class="important" name="nyd">NEW YEAR DISTANCE</span> + DAY_INDEX_0_0_1) % 7) || 7; // <span name="nyi">NEW YEAR INDEX</span>
var calendar_week = (<span class="important" name="nyi">NEW YEAR INDEX</span> < 5) ? <span class="ceil">Math.ceil(day_of_year / 7)</span> : <span class="floor">Math.floor(day_of_year / 7)</span>;</code>
<h3 class="inline">Calendar week:</h3> <span name="4">CALENDAR WEEK</span>
</pre>
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