function pleac_Using_Complex_Numbers()
{
// PHP offers no native support for complex numbers. However, a 'Math_Complex' class
// is available for download from PEAR: [http://pear.php.net/package/Math_Complex].
// Note the following 'include' directives are required:
//
// include_once('Math/Complex.php');
// include_once('Math/TrigOp.php');
// include_once('Math/ComplexOp.php');
$a = new Math_Complex(3, 5);
$b = new Math_Complex(2, -2);
$c = Math_ComplexOp::mult($a, $b);
echo $c->toString() . "\n";
// ----------------------------
$d = new Math_Complex(3, 4);
$r = Math_ComplexOp::sqrt($d);
echo $r->toString() . "\n";
}
/**
* Calculates the inverse cosine of a complex number: z = acos(c1)
*
* @param Math_Complex $c1
* @return Math_Complex A valid Math_Complex number on success
* @throws InvalidArgumentException
*/
public static function acos(Math_Complex $c1)
{
if (!Math_ComplexOp::isComplex($c1)) {
throw new InvalidArgumentException('argument is not a Math_Complex object');
}
$t = Math_ComplexOp::mult($c1, $c1);
$v = Math_ComplexOp::sub(new Math_Complex(1, 0), $t);
$t = Math_ComplexOp::sqrt($v);
$v = new Math_Complex($c1->getReal() - $t->getIm(), $c1->getIm() + $t->getReal());
$z = Math_ComplexOp::log($v);
return new Math_Complex($z->getIm(), -1 * $z->getReal());
}
function testSqrt()
{
/*{{{*/
$tmp = Math_ComplexOp::sqrt($this->cnum1);
$this->assertEquals('0.664490477541 + 0.3762281153i', $tmp->toString());
}
<?php
/*
* To test Math_Complex and Math_ComplexOp
* $Id$
*/
require_once 'Math/ComplexOp.php';
$a = new Math_Complex(0.3, 0.5);
$b = new Math_Complex(1.0, -M_PI_2);
$im = -1.2;
echo "a = " . $a->toString() . "\n";
echo "b = " . $b->toString() . "\n";
echo "im = {$im}i\n";
$z = Math_ComplexOp::createFromPolar(0.022, -0.223);
echo "from polar, z = " . $z->toString() . "\n";
$z = Math_ComplexOp::sqrt($a);
echo "sqrt(a) = " . $z->toString() . "\n";
$z = Math_ComplexOp::sqrtReal(-2.3);
echo "sqrtReal(a) = " . $z->toString() . "\n";
$z = Math_ComplexOp::exp($a);
echo "exp(a) = " . $z->toString() . "\n";
$z = Math_ComplexOp::log($a);
echo "log(a) = " . $z->toString() . "\n";
$z = Math_ComplexOp::log10($a);
echo "log10(a) = " . $z->toString() . "\n";
$z = Math_ComplexOp::conjugate($a);
echo "conjugate(a) = " . $z->toString() . "\n";
$z = Math_ComplexOp::negative($a);
echo "negative(a) = " . $z->toString() . "\n";
$z = Math_ComplexOp::inverse($a);
echo "inverse(a) = " . $z->toString() . "\n";
