2012-01-23 23:42:32 +00:00
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<?php
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class Complex {
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private $realPart = 0;
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private $imaginaryPart = 0;
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2012-02-08 21:39:02 +00:00
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private $suffix = NULL;
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2012-01-23 23:42:32 +00:00
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2012-02-08 21:39:02 +00:00
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public static function _parseComplex($complexNumber)
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{
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// Test for real number, with no imaginary part
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if (is_numeric($complexNumber))
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return array( $complexNumber, 0, NULL );
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// Fix silly human errors
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if (strpos($complexNumber,'+-') !== FALSE)
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$complexNumber = str_replace('+-','-',$complexNumber);
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if (strpos($complexNumber,'--') !== FALSE)
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$complexNumber = str_replace('--','-',$complexNumber);
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2012-01-23 23:42:32 +00:00
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2012-02-08 21:39:02 +00:00
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// Basic validation of string, to parse out real and imaginary parts, and any suffix
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2012-01-23 23:42:32 +00:00
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$validComplex = preg_match('/^([-+]?(\d+\.?\d*|\d*\.?\d+)([Ee][-+]?[0-2]?\d{1,2})?)([-+]?(\d+\.?\d*|\d*\.?\d+)([Ee][-+]?[0-2]?\d{1,2})?)?(([-+]?)([ij]?))$/ui',$complexNumber,$complexParts);
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if (!$validComplex) {
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2012-02-08 21:39:02 +00:00
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// Neither real nor imaginary part, so test to see if we actually have a suffix
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$validComplex = preg_match('/^([-+]?)([ij])$/ui',$complexNumber,$complexParts);
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if (!$validComplex) {
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throw new Exception('COMPLEX: Invalid complex number');
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}
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// We have a suffix, so set the real to 0, the imaginary to either 1 or -1 (as defined by the sign)
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$imaginary = 1;
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if ($complexParts[1] === '-') {
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$imaginary = 0 - $imaginary;
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}
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return array(0, $imaginary, $complexParts[2]);
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2012-01-23 23:42:32 +00:00
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}
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2012-02-08 21:39:02 +00:00
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// If we don't have an imaginary part, identify whether it should be +1 or -1...
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2012-01-23 23:42:32 +00:00
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if (($complexParts[4] === '') && ($complexParts[9] !== '')) {
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2012-02-08 21:39:02 +00:00
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if ($complexParts[7] !== $complexParts[9]) {
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$complexParts[4] = 1;
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if ($complexParts[8] === '-') {
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$complexParts[4] = -1;
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}
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// ... or if we have only the real and no imaginary part (in which case our real should be the imaginary)
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} else {
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$complexParts[4] = $complexParts[1];
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$complexParts[1] = 0;
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}
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2012-01-23 23:42:32 +00:00
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}
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2012-02-08 21:39:02 +00:00
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// Return real and imaginary parts and suffix as an array, and set a default suffix if user input lazily
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return array( $complexParts[1],
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$complexParts[4],
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!empty($complexParts[9]) ? $complexParts[9] : 'i'
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2012-01-23 23:42:32 +00:00
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);
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} // function _parseComplex()
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2012-02-08 21:39:02 +00:00
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public function __construct($realPart, $imaginaryPart = null, $suffix = 'i')
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2012-01-23 23:42:32 +00:00
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{
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if ($imaginaryPart === null) {
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if (is_array($realPart)) {
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2012-02-08 21:39:02 +00:00
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// We have an array of (potentially) real and imaginary parts, and any suffix
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list ($realPart, $imaginaryPart, $suffix) = array_values($realPart) + array(0.0, 0.0, 'i');
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2012-01-23 23:42:32 +00:00
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} elseif((is_string($realPart)) || (is_numeric($realPart))) {
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2012-02-08 21:39:02 +00:00
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// We've been given a string to parse to extract the real and imaginary parts, and any suffix
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2012-01-23 23:42:32 +00:00
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list ($realPart, $imaginaryPart, $suffix) = self::_parseComplex($realPart);
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}
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}
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2012-02-08 21:39:02 +00:00
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// Set parsed values in our properties
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$this->realPart = (float) $realPart;
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$this->imaginaryPart = (float) $imaginaryPart;
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2012-01-23 23:42:32 +00:00
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$this->suffix = strtolower($suffix);
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}
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public function getReal()
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{
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return $this->realPart;
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}
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public function getImaginary()
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{
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return $this->imaginaryPart;
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}
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public function getSuffix()
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{
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return $this->suffix;
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}
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public function __toString() {
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$str = "";
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2012-02-08 21:39:02 +00:00
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if ($this->imaginaryPart != 0.0) {
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if (abs($this->imaginaryPart) != 1.0) {
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$str .= $this->imaginaryPart . $this->suffix;
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} else {
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$str .= (($this->imaginaryPart < 0.0) ? '-' : ''). $this->suffix;
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}
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}
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2012-01-23 23:42:32 +00:00
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if ($this->realPart != 0.0) {
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2012-02-08 21:39:02 +00:00
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if (($str) && ($this->imaginaryPart > 0.0))
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$str = "+" . $str;
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2012-01-23 23:42:32 +00:00
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$str = $this->realPart . $str;
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}
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2012-02-08 21:39:02 +00:00
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if (!$str)
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$str = "0.0";
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2012-01-23 23:42:32 +00:00
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return $str;
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}
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}
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