/**
* Returns the exponentiation of a complex numbers to a real power: z = c1^(real)
*
* @param Math_Complex $c1
* @param float $real
* @return Math_Complex A valid Math_Complex number on success
* @throws InvalidArgumentException
*/
public static function powReal(Math_Complex $c1, $real)
{
if (!Math_ComplexOp::isComplex($c1)) {
throw new InvalidArgumentException('First arguments must be Math_Complex object');
} elseif (!is_numeric($real)) {
throw new InvalidArgumentException("An real number is needed as second parameter");
} else {
$ar = $c1->getReal();
$ai = $c1->getIm();
if ($ar == 0 && $ai == 0) {
$r = $i = 0.0;
} else {
$logr = log($c1->abs());
$theta = $c1->arg();
$rho = exp($logr * $real);
$beta = $theta * $real;
$r = $rho * cos($beta);
$i = $rho * sin($beta);
}
return new Math_Complex($r, $i);
}
}
function testIsComplex()
{
/*{{{*/
$this->assertEquals(true, Math_ComplexOp::isComplex($this->cnum1));
}
