
	<?php
	$Key1 = $_POST['Key1'];
	$Key2 = $_POST['Key2'];
	$Key3 = $_POST['Key3'];
	$Integer = $_POST['Integer'];
	$Limit1 = $_POST['Limit1'];
	$Limit2 = $_POST['Limit2'];



	function GaussMCarlo($a, $b, $number)
	{
	$Po = sqrt(2.0*pi());
	$P = 1.0/$Po;
	$a = floatval($a);
	$b = floatval($b);
	$S = ($b - $a) * $P;
	$n = 1.0/$number;

	(int)$yo = 0;//count
	for ($i = 0; $i <= $number; $i++) 
	{
	srand ((float) microtime( )*1000000);

	$random_x = $a + lcg_value() * (abs($b-$a));
	$random_y = lcg_value();
	// lcg_value() returns a pseudo random number in the range of (0, 1).	

	(float)$y =$P * exp( - 0.5*pow($random_x,2));	

	if($y  >= $random_y )
	{
	$yo = $yo + 1;
	}
	$w = $S*$yo*$n;
	}
	return $w;

	}


	function GaussRectangle($a, $b, $number)
	{
	$Po = sqrt(2.0*pi());
	$P = 1.0/$Po;
	$a = floatval($a);
	$b = floatval($b);
	$d = ($b - $a);
	$e = 1.0*$d/$number;
	$S = $d * $P;

	$yo = 0;
	$i = 0;
	while ($i <= $number)
	{
	$j = $i - 0.5; 
	$z = $a + ($j * $e);
	$yo += exp(- 2.0*pow($z,2));
	$i = $i + 1;
	}
	return ($P * $e * $yo);
	}
	?>