Using a date/time scale
| Chapter 14. Common features for all Cartesian (x,y) graph types |

## Using a date/time scale

The easiest way to get a date time scale for the X-axis is to use the pre-defined "`dat`" scale. To be able to use that it is first necessary to include the module "`jpgraph_date.php`" and then specify the scale, for example as "`datlin`" in the call to `Graph::SetScale()` as the following code snippet shows.

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    <?php
    require_once( "jpgraph/jpgraph.php" );
    require_once( "jpgraph/jpgraph_line.php" );
    require_once( "jpgraph/jpgraph_date.php" );
    ...
    $graph = new Graph ( ... );
    $graph->SetScale( 'datlin' );
    ...
    ?>

It is possible to use a selectable degree of automation when dealing with date scales. The easiest way is to let the library deal with all the details and make it own decision on how to format the scale. Unfortunately this might not always be exactly what was intended and hence it is also possible to give the library hints on how the formatting should be done or specify to a great details the exact formatting needed.

Bot the y- and the x-axis can have a date scale but the most common case is to only use date scale on the x-axis.

### Specifying the input data

No matter how the formatting is done the input data is assumed to be a timestamp value, i.e. the number of seconds since epoch (as defined on the local system executing the graph). In PHP the current timestamp value is returned by the function `time()`.

This means that it is always mandatory to specify two input vectors for a plot.One vector for the Y-data and one vector for the x-data. The following line of code prepares a line plot for the use with a date scale

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    $lineplot = new LinePlot( $ydata , $xdata );

### Caution

Note the order of the data vectors. The Y-data always comes first.

A first example is shown in Figure 14.65. A first date scale example `(`dateaxisex2.php`)` where we have created a number of random points with a sample interval of 240s (chosen completely arbitrary)

Figure 14.65. A first date scale example `(`dateaxisex2.php`)`

Please review the script that creates this graph before continuing since we will base all further examples on this.

### Adjusting the start and end date alignment

As can be seen from the example in Figure 14.65. A first date scale example `(`dateaxisex2.php`)` the scale starts slightly before the first data point.

Why?

This is of course by purpose in order to make the first time label start on an "even" value, in this case on an hour. Depending on the entire interval of the graph the start value will dynamically adjust to match the chosen date/time interval, this could for example be on an even minute, even 30min, even hour, even day, even week and so on. It all depends on the scale.

The alignment of the start (and end) date can also be adjusted manually by using the two methods

- `DateScale::SetTimeAlign($aStartAlign,$aEndAlign)`

  The following symbolic constants can be used to define the time alignment

  1. Alignment on seconds

     - MINADJ_1, Align on a single second (This is the lowest resolution)

     - MINADJ_5, Align on the nearest 5 seconds

     - MINADJ_10, Align on the nearest 10 seconds

     - MINADJ_15, Align on the nearest 15 seconds

     - MINADJ_30, Align on the nearest 30 seconds

  2. Alignment on minutes

     - MINADJ_1, Align to the nearest minute

     - MINADJ_5, Align on the nearest 5 minutes

     - MINADJ_10, Align on the nearest 10 minutes

     - MINADJ_15, Align on the nearest 15 minutes

     - MINADJ_30, Align on the nearest 30 minutes

  3. Alignment on hours

     - HOURADJ_1, Align to the nearest hour

     - HOURADJ_2, Align to the nearest two hour

     - HOURADJ_3, Align to the nearest three hour

     - HOURADJ_4, Align to the nearest four hour

     - HOURADJ_6, Align to the nearest six hour

     - HOURADJ_12, Align to the nearest tolw hour

- `DateScale::SetDateAlign($aStartAlign,$aEndAlign)`

  The following symbolic constants can be used to define the date alignment

  1. Day alignment

     - DAYADJ_1, Align on the start of a day

     - DAYADJ_7, Align on the start of a week

     - DAYADJ_WEEK, Synonym to DAYADJ_7

  2. Monthly alignment

     - MONTHADJ_1, Align on a month start

     - MONTHADJ_6, Align on the start of halfyear

  3. Yearly alignment

     - YEARADJ_1, Align on a year

     - YEARADJ_2, Align on a bi-yearly basis

     - YEARADJ_5, Align on a 5 year basis

Some examples will clarify the use of these methods.

Example 14.7. We want the time adjustment to start on an even quarter of an hour, i.e. an even 15 minute period.

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    $graph->xaxis->scale->SetTimeAlign( MINADJ_15 );

Example 14.8. We want the time to start on an even 2 hour

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    $graph->xaxis->scale->SetTimeAlign( HOURADJ_2 );

### Manually adjusting the ticks

Since a date scale is special case of an integer scale (the underlying format of dates a timestamps which are large integers) it is perfectly possible to manually adjust the interval between each label. The interval is specified in seconds with a call to the usual

`LinearTicks::Set($aMajorTicks,$aMinorTick)`

as the following code snippet shows

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    <?php
    $graph->SetScale('datint');

    // Adjust the start time for an "even" 5 minute, i.e. 5,10,15,20,25, ...
    $graph->xaxis->scale->SetTimeAlign(MINADJ_5);

    // Force labels to only be displayed every 5 minutes
    $graph->xaxis->scale->ticks->Set(5*60);

    // Use hour:minute format for the labels
    $graph->xaxis->scale->SetDateFormat('H:i');
    ?>

In the above example the scale will start on an "even" 5 minute boundary and then have labels every 5 minutes exactly. Of course strictly speaking the adjustment with `MINADJ_5` is not necessary but will avoid that the scale starts on whatever happens to be the initial value of the data (which will control how the first label is placed).

The graph in Figure 14.66. Manually adjusting the tick labels for a date scale `(`datescaleticksex01.php`)` shows an example where an online auction is displaying how the bids are increasing from each participant every 5 minutes. The example also shows how to adjust the label format on the y-axis to show currency values with 1000' separator by using a label callback (using the PHP function `number_format()` ).

Figure 14.66. Manually adjusting the tick labels for a date scale `(`datescaleticksex01.php`)`

### Adjusting the label format

The default label format always tries to use the shortest possible unique string. To manually set a label format the method

- `DateScale::SetDateFormat($aFormatString)`

  The format string uses the same format convention as the PHP function `date()`

is used. For example

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    $graph->xaxis->scale->SetDateFormat( 'H:i' );

will display the hour (24h) and minutes in the label separated by a colon (':'). Using this format string together with the modified start/end alignment

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    $graph->xaxis->scale->SetTimeAlign(MINADJ_10);

with our previous date example will give the result shown in Figure 14.67. Adjusting label formatting of a date scale `(`dateaxisex4.php`)`

Figure 14.67. Adjusting label formatting of a date scale `(`dateaxisex4.php`)`

### Adjusting the automatic density of date labels

As with the linear scale it is possible to indicate what density of scale ticks is needed. This is (as usual) specified with a call to `Graph::SetTickDensity($aMajDensity, $aMinDensity)` for example as

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    $graph->SetTickDensity( TICKD_DENSE );

### Creating a date/time scale with a manual label call-back

In the following we will assume that all data points are specified by a tuple (time-value, date-value) where the date/time is specified as a timestamp in seconds in the same format as is returned by the PHP function `time()`.

### Caution

Be careful if data is gathered from a different time zone and whether it is given in UTC ot in the local time/date.

A label formatting callback routine will get called each time a label is to be drawn on the scale. The one parameter given to the callback function is the current time value. The returned string is then used as a label.

What we do is that we specify that the x-scale should be an ordinary integer `"int"` scale (remember that the data values are timestamps which are integers). We then install our custom label formatting callback (with a call to `Graph::SetLabelFormatCallback()`) which given a timestamp returns a suitable label as a string.

In our example we will use the PHP function `date()` to convert between the time stamp value and a suitable textual representation of the time/date value.

The callback we use is

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    // The callback that converts timestamp to minutes and seconds
    function  TimeCallback ( $aVal ) {
        return  Date ( 'H:i:s' , $aVal );
    }

Using some random data we can now generate the graph shown in Figure 14.68. Manually creating a date scale `(`dateaxisex1.php`)`

Figure 14.68. Manually creating a date scale `(`dateaxisex1.php`)`

In the above example we have specified the x-scale manually to make sure that the min/max values on the X-axis exactly matches the min/max x-data values to not leave gaps (as discussed above) between the data and the start/end of the scale.

The defined callback function will be called for each of the displayed labels. Since we are using an integer scale the labels will be set according to an suitable scale when the time stamp values are interpretated as integers.

Using integer scales this will not work very well since the library determines label positions to be at even positions (e.g. every 2,5,10, 20,50,100 etc) to suit the auto-scaling since the library will assume that the data is integers and not time stamp values.

The best way to solve this is to use an integer x-scale together with a callback function with a manually specified scale.

In order to setup the scale a bit of manually work is needed. Depending on the data to be displayed one should ensure that the scale starts and ends at suitable times and that the tick interval chosen fits with an even multiple of minutes, hours, days or what is best suited for the time range that is to be displayed.

The following code example illustrates this. It creates some "fake" data that is assumed to be sampled time based data and sets up some suitable scales and tick interval. This script may be used as a basis for more advanced handling of the time data.

Example 14.9. Manually creating a date/time scale (`timestampex01.php`)

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    <?php // content="text/plain; charset=utf-8"
    // Example on how to treat and format timestamp as human readable labels
    require_once ('jpgraph/jpgraph.php');
    require_once ('jpgraph/jpgraph_line.php');

    // Number of "fake" data points
    DEFINE('NDATAPOINTS',500);

    // Assume data points are sample every 10th second
    DEFINE('SAMPLERATE',10);

    // Callback formatting function for the X-scale to convert timestamps
    // to hour and minutes.
    function TimeCallback($aVal) {
        return Date('H:i', $aVal);
    }

    // Get start time
    $start = time();
    // Set the start time to be on the closest minute just before the "start" timestamp
    $adjstart = floor($start / 60);

    // Create a data set in range (20,100) and X-positions
    // We also apply a simple low pass filter on the data to make it less
    // random and a little smoother
    $data = array();
    $xdata = array();
    $data[0] = rand(20,100);
    $xdata[0] = $adjstart;
    for( $i=1; $i < NDATAPOINTS; ++$i ) {
        $data[$i] = rand(20,100)*0.2 + $data[$i-1]*0.8;
        $xdata[$i] = $adjstart + $i * SAMPLERATE;
    }

    // Assume that the data points represents data that is sampled every 10s
    // when determing the end value on the scale. We also add some extra
    // length to end on an even label tick.
    $adjend = $adjstart  + (NDATAPOINTS+10)*10;

    $graph = new Graph(500,250);
    $graph->SetMargin(40,20,30,50);

    // Now specify the X-scale explicit but let the Y-scale be auto-scaled
    $graph->SetScale("intlin",0,0,$adjstart,$adjend);
    $graph->title->Set("Example on TimeStamp Callback");

    // Setup the callback and adjust the angle of the labels
    $graph->xaxis->SetLabelFormatCallback('TimeCallback');
    $graph->xaxis->SetLabelAngle(90);

    // Set the labels every 5min (i.e. 300seconds) and minor ticks every minute
    $graph->xaxis->scale->ticks->Set(300,60);

    $line = new LinePlot($data,$xdata);
    $line->SetColor('lightblue');
    $graph->Add($line);

    $graph->Stroke();
    ?>

### Using the "DateScaleUtils" class to make manual date scale

In this section we will show a very common use case where the x-axis have the unit of timestamps and where the start of each month is labeled. This is difficult (impossible) to do with the automatic tick marks since this requires the distance between consecutive tick marks to be different.

### Warning

To use manual tick marks the basic scale should be an integer scale since the underlying data are integer time stamps, for example `SetScale('intlin')`.

Figure 14.69. Adding a label at the start of every month `(`manualtickex1a.php`)` shows a basic example of what we want to achieve

Figure 14.69. Adding a label at the start of every month `(`manualtickex1a.php`)`

To use the manual tick marks two steps are required

1. Determine where the tick marks should be. Both major (which can have a label and grid marks) and minor ticks can be specified. Optionally if complex labels, which cannot be calculated by a format string (either as date or `printf()` format) needs to be created.

2. Call the appropriate method to set the tick marks and optional labels.

We remind the reader that the following methods (in class Axis) are available to set the tick marks

- `Axis::SetTickPositions($aMajTickPos,$aMinTickPos=NULL,$aLabels=NULL)`

- `Axis::SetMajTickPositions($aMajTickPos,$aLabels=NULL)`

The second method above is strictly speaking not necessary, it is just a convenience function for those cases where only major ticks and labels should be set.

The following related method will also be used in this example

- `Axis::SetLabelFormatString($aFormat,$aIsDateFormat=FALSE)`

This method has been available for a long time in the library but it has recently gained the second argument. With this argument it is possible to tell if the formatting string should be interpretated as format according to the standard `printf()` format or if it should be interpretated as a format string to be used with the `date()` function.

Finally we will use a utility function that is available in "`jpgraph_utils.inc.php`" in the class `DateScaleUtils`

- `DateScaleUtils::GetTicks($aData,$aType==DSUTILS_MONTH1)`

  Possible values for the second argument ($aType) are

  Date type | Description
  --- | ---
  `DSUTILS_MONTH` | Major and minor ticks on a monthly basis
  `DSUTILS_MONTH1` | Major and minor ticks on a monthly basis
  `DSUTILS_MONTH2` | Major ticks on a bi-monthly basis
  `DSUTILS_MONTH3` | Major ticks on a tri-monthly basis
  `DSUTILS_MONTH6` | Major on a six-monthly basis
  `DSUTILS_WEEK1` | Major ticks on a weekly basis
  `DSUTILS_WEEK2` | Major ticks on a bi-weekly basis
  `DSUTILS_WEEK4` | Major ticks on a quad-weekly basis
  `DSUTILS_DAY1` | Major ticks on a daily basis
  `DSUTILS_DAY2` | Major ticks on a bi-daily basis
  `DSUTILS_DAY4` | Major ticks on a quad-daily basis
  `DSUTILS_YEAR1` | Major ticks on a yearly basis
  `DSUTILS_YEAR2` | Major ticks on a bi-yearly basis
  `DSUTILS_YEAR5` | Major ticks on a five-yearly basis

The `DateScaleUtils::GetTicks()` is a utility function that given an array of timestamps returns an array of major and minor tick mark positions that marks the start and middle of each month when we use the `DSUTILS_MONTH1` type specifier.

To make the graph in figure 1 we first note that it is probably a good idea to specify the min and max value of the X-axis ourself rather than letting the auto scale algorithm do that. Since the timestamps are possibly quite large values and the auto scaling algorithm will try to make the start and end values be "even" (for example multiples of 5,10,100, .. and so on).

Secondly we need to chose what scale we will use. In this case it doesn't really matter if we chose a integer (int) or a linear (lin) scale. But since timestamps by definition are integers we select an int scale for the X-axis.

Finally we need to decide what format to have on the labels. For this example we chose to show it as "Dec05" to indicate "December 2005". The format string needed to select this is "`My`" which we will use as argument for the `SetLabelFormatString()` method. Since the width of the label is medium wide we add some empty space on each side of the graph after we positioned the ticks to avoid the first label "hitting" the Y-axis labels. This could happen if the start of the first month on the axis is very near the X-Y axis conjunction.

We will now walk through the code to create the image in Figure 14.69. Adding a label at the start of every month `(`manualtickex1a.php`)` and explain each step.

First we create some random data for the X and Y axis

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    <?php
    $datay = array();
    $datax = array();
    $ts = time();
    $n=15; // Number of data points
    for($i=0; $i < $n; ++$i ) {
        $datax[$i] = $ts+$i*700000;
        $datay[$i] = rand(5,60);
    }
    ?>

Then we get the tick positions for the start of the months

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    <?php
    list($tickPositions, $minTickPositions) = DateScaleUtils::GetTicks($datax);
    ?>

We also add a bit of space "grace value" at the beginning and end of the axis

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    <?php
    $grace = 400000;
    $xmin = $datax[0]-$grace;
    $xmax = $datax[$n-1]+$grace;
    ?>

It is now time to add the standard code to setup a basic graph. We also set the previously calculated tick positions and the label formatting string we want to use.

Note that we are careful at making sure the x-axis always start at the minimum y-value (by calling `SetPos()` ), by default the x-axis is otherwise positioned at y=0 and if the y-scale happens to start at, say y=10, then the x-axis is not shown.

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    <?php
    $graph = new Graph(400,200);
    $graph->SetScale('intlin',0,0,$xmin,$xmax);
    $graph->title->Set('Basic example with manual ticks');
    $graph->title->SetFont(FF_ARIAL,FS_NORMAL,12);
    $graph->xaxis->SetPos('min');
    $graph->xaxis->SetTickPositions($tickPositions,$minTickPositions);
    $graph->xaxis->SetLabelFormatString('My',true);
    $graph->xaxis->SetFont(FF_ARIAL,FS_NORMAL,9);
    $graph->xgrid->Show();
    ?>

Finally we create and add the plot to the graph and send back the graph to the browser.

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    <?php
    $p1 = new LinePlot($datay,$datax);
    $p1->SetColor('teal');
    $graph->Add($p1);
    $graph->Stroke();
    ?>

### When to use manual and when to use automatic date scale?

The previous sections showed how to make use of the utility class `DateScaleUtils` to manually set the tick marks. The astute reader will also recall the possibility to use a "date" scale, i.e. specifying the scale for example as

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    <?php
    // Use a date-integer scale
    $graph->SetScale('datint');
    ?>

So what is the difference and when should this be used?

The answer is that the functionality to some extent overlap but with the manual scale creation there is the possibility to more exact specify the distance between the label marks. By using the "Date" scale the library will automatically adjust the labels to have a suitable distance depending on the span of the data and the size of the graph. This is "easier" but will give little control over the intervals.

With the manual scale, on the other hand, it is possible to exactly specify the distance (e.g. every three month) between each label on the expense of a few more lines of code.

There is also one more important difference an that is that with a "date" scale the tick marks will always be adjusted so that the end and beginning of the scale falls on a major tick marks. If the data to be visualized doesn't completely cover this span there might be "gaps" in the data at the beginning or/and at the end of the x-scale. With a manual scale it is possible to set the min and max x-scale value to match exactly the min/max x-values in the data and have the plot begin and end at exactly the beginning and end of the x-axis. This is not possible to guarantee with a date scale.

Let's put this knowledge to use and compare "side by side" the difference between these two ways of creating a date scale by creating a graph with the same data but using these two different methods.

In the first example (shown in Figure 14.70. Manually specified date scale `(`dateutilex01.php`)` ) we use a manually set tick scale with an explicitly set min/max value for the x-axis. The labels on the graph are formatted with a call to

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    $graph->xaxis->SetLabelFormatString('M, Y',true);

the second parameter (`'true'`) will make the library interpret the format string as specifying a date format string.

Figure 14.70. Manually specified date scale `(`dateutilex01.php`)`

The second variant will use the exact same data but this time we will use a date scale. This is accomplished by first including the necessary support module jpgraph_date.php and then specifying the scale as

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    $graph->SetScale('datlin');

In order to make the two graphs have exactly the same label format we also use the same format string as in the previous graph, i.e. `$graph->xaxis->SetLabelFormatString('M, Y',true);`. The result of formatting is shown in Figure 14.71. Using an automatic date scale `(`dateutilex02.php`)` .

Figure 14.71. Using an automatic date scale `(`dateutilex02.php`)`

Comparing Figure 14.71. Using an automatic date scale `(`dateutilex02.php`)` . and Figure 14.70. Manually specified date scale `(`dateutilex01.php`)` we can see that with the automatic scaling the tick marks match the beginning and ending of the x-scale but at the expense of a small gap at the end of the data since the data doesn't extend quite as far as the scale.

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