You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
115 lines
3.5 KiB
PHTML
115 lines
3.5 KiB
PHTML
12 months ago
|
<?php
|
||
|
|
|
||
|
|
class Complex {
|
||
|
|
|
||
|
|
private $realPart = 0;
|
||
|
|
private $imaginaryPart = 0;
|
||
|
|
private $suffix = NULL;
|
||
|
|
|
||
|
|
public static function _parseComplex($complexNumber)
|
||
|
|
{
|
||
|
|
// Test for real number, with no imaginary part
|
||
|
|
if (is_numeric($complexNumber))
|
||
|
|
return array( $complexNumber, 0, NULL );
|
||
|
|
|
||
|
|
// Fix silly human errors
|
||
|
|
if (strpos($complexNumber,'+-') !== FALSE)
|
||
|
|
$complexNumber = str_replace('+-','-',$complexNumber);
|
||
|
|
if (strpos($complexNumber,'++') !== FALSE)
|
||
|
|
$complexNumber = str_replace('++','+',$complexNumber);
|
||
|
|
if (strpos($complexNumber,'--') !== FALSE)
|
||
|
|
$complexNumber = str_replace('--','-',$complexNumber);
|
||
|
|
|
||
|
|
// Basic validation of string, to parse out real and imaginary parts, and any suffix
|
||
|
|
$validComplex = preg_match('/^([\-\+]?(\d+\.?\d*|\d*\.?\d+)([Ee][\-\+]?[0-2]?\d{1,3})?)([\-\+]?(\d+\.?\d*|\d*\.?\d+)([Ee][\-\+]?[0-2]?\d{1,3})?)?(([\-\+]?)([ij]?))$/ui',$complexNumber,$complexParts);
|
||
|
|
|
||
|
|
if (!$validComplex) {
|
||
|
|
// Neither real nor imaginary part, so test to see if we actually have a suffix
|
||
|
|
$validComplex = preg_match('/^([\-\+]?)([ij])$/ui',$complexNumber,$complexParts);
|
||
|
|
if (!$validComplex) {
|
||
|
|
throw new Exception('COMPLEX: Invalid complex number');
|
||
|
|
}
|
||
|
|
// We have a suffix, so set the real to 0, the imaginary to either 1 or -1 (as defined by the sign)
|
||
|
|
$imaginary = 1;
|
||
|
|
if ($complexParts[1] === '-') {
|
||
|
|
$imaginary = 0 - $imaginary;
|
||
|
|
}
|
||
|
|
return array(0, $imaginary, $complexParts[2]);
|
||
|
|
}
|
||
|
|
|
||
|
|
// If we don't have an imaginary part, identify whether it should be +1 or -1...
|
||
|
|
if (($complexParts[4] === '') && ($complexParts[9] !== '')) {
|
||
|
|
if ($complexParts[7] !== $complexParts[9]) {
|
||
|
|
$complexParts[4] = 1;
|
||
|
|
if ($complexParts[8] === '-') {
|
||
|
|
$complexParts[4] = -1;
|
||
|
|
}
|
||
|
|
// ... or if we have only the real and no imaginary part (in which case our real should be the imaginary)
|
||
|
|
} else {
|
||
|
|
$complexParts[4] = $complexParts[1];
|
||
|
|
$complexParts[1] = 0;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// Return real and imaginary parts and suffix as an array, and set a default suffix if user input lazily
|
||
|
|
return array( $complexParts[1],
|
||
|
|
$complexParts[4],
|
||
|
|
!empty($complexParts[9]) ? $complexParts[9] : 'i'
|
||
|
|
);
|
||
|
|
} // function _parseComplex()
|
||
|
|
|
||
|
|
|
||
|
|
public function __construct($realPart, $imaginaryPart = null, $suffix = 'i')
|
||
|
|
{
|
||
|
|
if ($imaginaryPart === null) {
|
||
|
|
if (is_array($realPart)) {
|
||
|
|
// We have an array of (potentially) real and imaginary parts, and any suffix
|
||
|
|
list ($realPart, $imaginaryPart, $suffix) = array_values($realPart) + array(0.0, 0.0, 'i');
|
||
|
|
} elseif((is_string($realPart)) || (is_numeric($realPart))) {
|
||
|
|
// We've been given a string to parse to extract the real and imaginary parts, and any suffix
|
||
|
|
list ($realPart, $imaginaryPart, $suffix) = self::_parseComplex($realPart);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// Set parsed values in our properties
|
||
|
|
$this->realPart = (float) $realPart;
|
||
|
|
$this->imaginaryPart = (float) $imaginaryPart;
|
||
|
|
$this->suffix = strtolower($suffix);
|
||
|
|
}
|
||
|
|
|
||
|
|
public function getReal()
|
||
|
|
{
|
||
|
|
return $this->realPart;
|
||
|
|
}
|
||
|
|
|
||
|
|
public function getImaginary()
|
||
|
|
{
|
||
|
|
return $this->imaginaryPart;
|
||
|
|
}
|
||
|
|
|
||
|
|
public function getSuffix()
|
||
|
|
{
|
||
|
|
return $this->suffix;
|
||
|
|
}
|
||
|
|
|
||
|
|
public function __toString() {
|
||
|
|
$str = "";
|
||
|
|
if ($this->imaginaryPart != 0.0) {
|
||
|
|
if (abs($this->imaginaryPart) != 1.0) {
|
||
|
|
$str .= $this->imaginaryPart . $this->suffix;
|
||
|
|
} else {
|
||
|
|
$str .= (($this->imaginaryPart < 0.0) ? '-' : ''). $this->suffix;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if ($this->realPart != 0.0) {
|
||
|
|
if (($str) && ($this->imaginaryPart > 0.0))
|
||
|
|
$str = "+" . $str;
|
||
|
|
$str = $this->realPart . $str;
|
||
|
|
}
|
||
|
|
if (!$str)
|
||
|
|
$str = "0.0";
|
||
|
|
return $str;
|
||
|
|
}
|
||
|
|
|
||
|
|
}
|