Spline.html
8.49 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"><HTML><HEAD><style type="text/css">
<!--
A:link {font-family: helvetica, arial, geneva, sans-serif; font-size: small; text-decoration: none; color: #000000}
A:visited {font-family: helvetica, arial, geneva, sans-serif; font-size: small; text-decoration: none; color: #000000}
A:hover {font-family: helvetica, arial, geneva, sans-serif; font-size: small; text-decoration: underline; color: #FF0000}
A.no:link {font-family:inherit; font-size: inhreit;text-decoration: none; color: #000000}
A.no:visited {font-family:inherit; font-size: inherit;text-decoration: none; color: #000000}
A.no:hover {font-family:inherit; font-size: inherit;text-decoration: none; color: #000000}
th {font-family: helvetica, arial; color : black; font-size:90%; background : #b7c8b7; border-right:black solid 1pt; border-bottom:black solid 1pt;}
td {font-family: helvetica, arial; color : black; font-size:90%; background : white; border-right:black solid 1pt; border-bottom:black solid 1pt;}
//-->
</style></HEAD><hr><div style="padding-left:4px;border-left:solid black 1px;border-top:solid black 1px;border-bottom:solid black 2px;border-right:solid black 2px;background-color:#deaa87;font-family:courier new;font-size:16pt;">Class <a class="no" name="_C_SPLINE"><b>Spline</b></a></div>
<i>(Defined in: jpgraph_regstat.php : 17)</i><br> <br><table cellspaceing=0 cellpadding=4 style="border:solid #303030 1px;"><tr><td align="center" style="background:lightgray;" > <a href="Spline.html" style="font-family:arial;font-weight:bold;color:darkblue;">Spline</a> </td></tr><tr><td valign=top> <a href="Spline.html#_SPLINE_GET">Get()</a> <br>
<a href="Spline.html#_SPLINE___CONSTRUCT">__construct()</a> <br>
</td></tr></table> <p><div style="font-weight:bold;font-family:arial;font-size:100%;">Class usage and Overview</div>Utility class to help construct an interpolated data points given an arbitrary number of data points.
<p>
This class doesn't draw any graphs by itself it is only used to generate a new set of data points representing the smooth line from the input which are the control lines for the cubic spline.
<p>
The principle of using this class is that you first create an instance of this class and giving it the X,Y values for your control points.
<p>
You can then get back an interpolated smooth dataset by calling the Get() method. This method takeas as argument how many data points you want the interpolated graph to have.
<p>
Technical note: The spline is constructed with natural 2:nd derivates at the start and end points of the line.
<p>
<hr><span style="font-family:arial;font-size:120%;font-weight:bold;">Class Methods</span><hr><p>
<p> <div style='font-family: helvetica, arial, geneva, sans-serif;margin-bottom:4px;border-left:solid black 1px;border-top:solid black 1px;border-bottom:solid black 2px;border-right:solid black 2px;font-size:120%;background:#dde9af;padding:4px;'><a class="no" name="_SPLINE_GET"><span style="color:#555555;">Spline ::</span><br><b>Get</b>($num)</a></div>
<span style='font-family:arial;font-size:95%;'><i>Return the two new data vectors</i></span><p>
<table cellspacing=0 style='border:black solid 1pt;' width=100%>
<tr><th width=25%>Argument</th><th width=15%>Default</th><th width=60%>Description</th></tr>
<tr><td style='border-right:black solid 1pt;font-family:courier;font-size:100%;font-weight:bold;'><span style="color: #000000">
<span style="color: #0000BB">$num</span>
</span>
</td><td style='border-right:black solid 1pt;font-family:courier;font-size:100%;font-weight:bold;'><span style="color: #000000">
<span style="color: #0000BB">50</span>
</span>
</td><td>Number of data points</td></tr>
</table>
<div style="font-weight:bold;font-family:arial;font-size:90%;">Description:</div>Return a data set representing the interpolated smooth curve passing through all the specified control points. <br>
<div style="font-weight:bold;font-family:arial;font-size:90%;"><p>Example:</div><div style="padding:5px;border:dashed gray 1px;background-color:#f3f3f3;font-family:courier new;font-size:90%;font-weight:bold;"><b><span style="color: #000000">
<span style="color: #0000BB">$spline </span><span style="color: #007700">= new </span><span style="color: #0000BB">Spline</span><span style="color: #007700">(</span><span style="color: #0000BB">$xcontrol_points</span><span style="color: #007700">, </span><span style="color: #0000BB">$ycontrol_points</span><span style="color: #007700">);<br />list (</span><span style="color: #0000BB">$xdata</span><span style="color: #007700">, </span><span style="color: #0000BB">$ydata</span><span style="color: #007700">) = </span><span style="color: #0000BB">$spline</span><span style="color: #007700">-></span><span style="color: #0000BB">Get</span><span style="color: #007700">(</span><span style="color: #0000BB">100</span><span style="color: #007700">);<br /></span><span style="color: #0000BB">$lp </span><span style="color: #007700">= new </span><span style="color: #0000BB">LinePlot</span><span style="color: #007700">(</span><span style="color: #0000BB">$ydata</span><span style="color: #007700">, </span><span style="color: #0000BB">$xdata</span><span style="color: #007700">);<br /></span><span style="color: #0000BB"></span>
</span>
</b></div><br>
<p>
<p> <div style='font-family: helvetica, arial, geneva, sans-serif;margin-bottom:4px;border-left:solid black 1px;border-top:solid black 1px;border-bottom:solid black 2px;border-right:solid black 2px;font-size:120%;background:#dde9af;padding:4px;'><a class="no" name="_SPLINE___CONSTRUCT"><span style="color:#555555;">Spline ::</span><br><b>__construct</b>($xdata, $ydata)</a></div>
<span style='font-family:arial;font-size:95%;'><i>Constructor. Create a new Spline object</i></span><p>
<table cellspacing=0 style='border:black solid 1pt;' width=100%>
<tr><th width=25%>Argument</th><th width=15%>Default</th><th width=60%>Description</th></tr>
<tr><td style='border-right:black solid 1pt;font-family:courier;font-size:100%;font-weight:bold;'><span style="color: #000000">
<span style="color: #0000BB">$xdata</span>
</span>
</td><td style='border-right:black solid 1pt;font-family:courier;font-size:100%;font-weight:bold;'> </td><td>Control points. X-coordinates</td></tr>
<tr><td style='border-right:black solid 1pt;font-family:courier;font-size:100%;font-weight:bold;'><span style="color: #000000">
<span style="color: #0000BB">$ydata</span>
</span>
</td><td style='border-right:black solid 1pt;font-family:courier;font-size:100%;font-weight:bold;'> </td><td>Control points. Y-coordinates</td></tr>
</table>
<div style="font-weight:bold;font-family:arial;font-size:90%;">Description:</div>Constructor. Create a new Spline object. The spline is determined by it's control points which are given with it's X and Y coordinates as arguments.
<p>
Technical note: The spline is constructed with natural 2:nd derivates at the start and end point. <br>
<div style="font-weight:bold;font-family:arial;font-size:90%;"><p>Example:</div><div style="padding:5px;border:dashed gray 1px;background-color:#f3f3f3;font-family:courier new;font-size:90%;font-weight:bold;"><b><span style="color: #000000">
<span style="color: #0000BB">$spline </span><span style="color: #007700">= new </span><span style="color: #0000BB">Spline</span><span style="color: #007700">(</span><span style="color: #0000BB">$xcontrol_points</span><span style="color: #007700">, </span><span style="color: #0000BB">$ycontrol_points</span><span style="color: #007700">);<br />list (</span><span style="color: #0000BB">$xdata</span><span style="color: #007700">, </span><span style="color: #0000BB">$ydata</span><span style="color: #007700">) = </span><span style="color: #0000BB">$spline</span><span style="color: #007700">-></span><span style="color: #0000BB">Get</span><span style="color: #007700">(</span><span style="color: #0000BB">100</span><span style="color: #007700">);<br /></span><span style="color: #0000BB">$lp </span><span style="color: #007700">= new </span><span style="color: #0000BB">LinePlot</span><span style="color: #007700">(</span><span style="color: #0000BB">$ydata</span><span style="color: #007700">, </span><span style="color: #0000BB">$xdata</span><span style="color: #007700">);<br /></span><span style="color: #0000BB"></span>
</span>
</b></div><br>
<p> <hr> <p></html>