<?php
/**
* This is fully functional page to solve linear equations
* with the LW_Matrix class. It will provide the html
* as well as do the required math and display it it a
* semi-neat format.
*/
//The real work of this starts on line 127
//Make sure the Matrix class is included:
require_once "matrix.class.php";
//Create a function to turn a Matrix into a styled table
function matrixTable(LW_Matrix $matrix, $cap)
{
$mArray = $matrix->getArray();
$out = "<div class=\"LW_Matrix_float\">\n <table class=\"LW_Matrix_table\">\n";
$out .= " <caption class=\"LW_left\">$cap</caption>\n";
foreach($mArray as $row) {
$out .= " <tr class=\"LW_Matrix_row\">\n";
foreach($row as $col) {
if(floor($col)!= $col) {
$col1 = sprintf("%.2f", $col);
if(stristr($col1, ".00")) {
//two decimal places didn't change the value, so don't have them
$col1 = sprintf("%.0f", $col);
}
} else {
$col1 = $col;
}
$out .= " <td class=\"LW_Matrix_col\">$col1</td>\n";
}
$out .= " </tr>\n";
}
$out .= " </table>\n</div>\n";
return $out;
}
//next we'll add the boring html/css header stuff
?>
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<title>Linear Algebra</title>
<style type="text/css">
.LW_Matrix_table {
border: 1px black solid;
border-collapse: collapse;
padding: 5px;
}
.LW_Matrix_row {
padding: 5px;
}
.LW_Matrix_col {
border: 1px black dashed;
padding: 5px;
text-align:center;
}
.LW_Matrix_float {
float: left;
margin: 10px;
vertical-align: middle;
}
.LW_Id_float {
text-align:center;
vertical-align: middle;
float: left;
}
caption.LW_left {
caption-side: left;
vertical-align: middle;
}
.clearFloat {
clear: both;
}
div.LW_output {
border: 1px black solid;
overflow: auto;
width:600px;
}
</style></head>
<body>
<div> When entering your matrices, the format is as follows:
</div>
<?php
//Create sample Matrices to display format
$sample = new LW_Matrix("[1,2,3;4,5,6;7,8,9]");
$sol = new LW_Matrix("[1;2;3]");
$out = matrixTable($sample, "[1,2,3;4,5,6;7,8,9]=");
echo $out;
$out = matrixTable($sol,"[1;2;3]=");
echo $out;
//Get Post variables to put in form if they exist, otherwise set to ""
$coeff = $_POST['coeff'];
$consts = $_POST['consts'];
//Further explanation in HTML + HTML Form
?>
<div class="clearFloat"> </div>
<pre>To solve for:
x - 3y + 3z = -4
2x + 3y - z = 15
4x - 3y - z = 19
Coefficient matrix = [1,-3,3;2,3,-1;4,-3,-1]
Constants matrix = [-4;15;19]
</pre>
<form name="theForm" method="post" action="">
<label for="coeff">Coefficients in Matrix Form:</label>
<input type="text" name="coeff" id="coeff" value="<?php echo $coeff; ?>" size="50">
<br>
<label for="consts">Constants in Matrix Form:</label>
<input name="consts" type="text" id="consts" value="<?php echo $consts; ?>" size="15">
<br>
Get Variable solutions!
<input type="submit" name="submit" id="submit" value="Submit">
</form>
<p> </p>
<div class="LW_output">
<?php
//Ok, form and everything displayed, now to do the math and display further output based on that.
//check to see if anything was submitted before trying to do the math:
if($coeff!="" && $consts!="")
{
//try/catch to we don't get a fatal error
try {
$A = new LW_Matrix($coeff);
$C = new LW_Matrix($consts);
//Get the inverse of A
$invA = $A->inverse();
//Multiply the inverse of A by C to get the solution set
$sols = $invA->mpMatrix($C);
//Now we'll display all 3 matrices so user can check input
echo "<p>Solution:</p>";
echo matrixTable($A, "A=");
echo matrixTable($C, "C=");
echo matrixTable($invA, "A<sup>-1</sup>=");
//clear the floats
echo "<div class=\"clearFloat\"> </div>\n";
//now display the Solution with Caption for the Multiplication preformed
echo matrixTable($sols, "A<sup>-1</sup>C=");
} catch (Exception $e) {
echo "<p>Error:<br />". $e->getMessage() ."</p>";
//do nothing for now
}
}
//Finish the HTML to complete the page now...
?>
</div>
</body>
</html>
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