Complex.class.php
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<?php
/**
* @author Michele Andreoli <michi.andreoli[at]gmail.com>
* @name Complex.class.php
* @version 0.3 updated 09-05-2010
* @license http://opensource.org/licenses/gpl-license-php GNU Public License
* @package FFT
*/
/**
* Class that implements a complex data number
*/
class Complex {
private $real;
private $imag;
/**
* Create a complex datatype
* @param double $real
* @param double $imag
*/
public function __construct($real, $imag) {
$this->real = $real;
$this->imag = $imag;
}
/**
* Return the multiplication of two complex number
* @param complex $a
* @param complex $b
* @return complex
*/
static public function Cmul($a, $b) {
$c = new Complex(0, 0);
$c->setReal($a->getReal() * $b->getReal() - $a->getImag() * $b->getImag());
$c->setImag($a->getImag() * $b->getReal() + $a->getReal() * $b->getImag());
return $c;
}
/**
* Return the sum of two complex number
* @param complex $a
* @param complex $b
* @return complex
*/
static public function Cadd($a, $b) {
$c = new Complex(0, 0);
$c->setReal($a->getReal() + $b->getReal());
$c->setImag($a->getImag() + $b->getImag());
return $c;
}
/**
* Return the difference of two complex number
* @param complex $a
* @param complex $b
* @return complex
*/
static public function Csub($a, $b) {
$c = new Complex(0, 0);
$c->setReal($a->getReal() - $b->getReal());
$c->setImag($a->getImag() - $b->getImag());
return $c;
}
/**
* Return the absolute value of a complex number
* @param complex $z
* @return double
*/
static public function Cabs($z) {
$x = abs($z->getReal());
$y = abs($z->getImag());
if ($x == 0.0)
$ans = $y;
else if ($y == 0.0)
$ans = $x;
else if ($x > $y) {
$temp = $y / $x;
$ans = $x * sqrt(1.0 + $temp * $temp);
}
else {
$temp = $x / $y;
$ans = $y * sqrt(1.0 + $temp * $temp);
}
return $ans;
}
/**
* Return the radix of two complex number
* @param complex $z
* @return complex
*/
static public function Csqrt($z) {
if (($z->getReal() == 0.0) && ($z->getImag() == 0.0)) {
$c = new Complex(0, 0);
return $c;
}
else {
$x = abs($z->getReal());
$y = abs($z->getImag());
if ($x >= $y) {
$r = $y / $x;
$w = sqrt($x) * sqrt(0.5 * (1.0 + sqrt(1.0 + $r * $r)));
}
else {
$r = $x / $y;
$w = sqrt($y) * sqrt(0.5 * ($r + sqrt(1.0 + $r * $r)));
}
$c = new Complex(0, 0);
if ($z->getReal() >= 0.0) {
$c->setReal($w);
$c->setImag($z->getImag() / (2.0 * $w));
}
else {
if ($z->getImag() >= 0)
$c->setImag($w);
else
$c->setImag(-$w);
$c->setReal($z->getReal() / (2.0 * $c->getImag()));
}
return $c;
}
}
/**
* Return the inverse of a complex number
* @param complex $z
* @return complex
*/
static public function Cinv($z) {
$c = new Complex(0, 0);
$c->setReal($z->getReal());
$c->setImag(-$z->getImag());
return $c;
}
/**
* Return the multiplication of a complex number with a scalar value
* @param complex $n
* @param complex $z
* @return complex
*/
static public function RCmul($n, $z) {
$c = new Complex(0, 0);
$c->setReal($z->getReal() * $n);
$c->setImag(-$z->getImag() * $n);
return $c;
}
/**
* Getters and setters
*/
public function setReal($real) {
$this->real = $real;
}
public function setImag($imag) {
$this->imag = $imag;
}
public function getReal() {
return $this->real;
}
public function getImag() {
return $this->imag;
}
}
?>