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 testMult() { /*{{{*/ $tmp = Math_ComplexOp::mult($this->cnum1, $this->cnum2); $this->assertEquals('1.0853981634 + 0.0287611019615i', $tmp->toString()); }
if (!Math_ComplexOp::areEqual($a, $b)) { echo "a != b\n"; } $z = Math_ComplexOp::add($a, $b); echo "add(a, b) = " . $z->toString() . "\n"; $z = Math_ComplexOp::sub($a, $b); echo "sub(a,b) = a - b = " . $z->toString() . "\n"; $t = Math_ComplexOp::sub($b, $a); echo "b - a: " . $t->toString() . "\n"; $t = Math_ComplexOp::sub($b, Math_ComplexOp::conjugate($a)); echo "b - a': " . $t->toString() . "\n"; $v = Math_ComplexOp::conjugate($b); $t = Math_ComplexOp::sub($v, $a); echo "b' - a: " . $t->toString() . "\n"; $v = Math_ComplexOp::conjugate($b); $t = Math_ComplexOp::sub($v, Math_ComplexOp::conjugate($a)); echo "b' - a': " . $t->toString() . "\n"; $z = Math_ComplexOp::mult($a, $b); echo "mult(a, b) = " . $z->toString() . "\n"; $z = Math_ComplexOp::div($a, $b); echo "div(a, b) = " . $z->toString() . "\n"; $z = Math_ComplexOp::pow($a, $b); echo "pow(a, b) = " . $z->toString() . "\n"; $z = Math_ComplexOp::logBase($a, $b); echo "logBase(a, b) = " . $z->toString() . "\n"; $z = Math_ComplexOp::multReal($a, M_PI); echo "multReal(a, M_PI) = " . $z->toString() . "\n"; $z = Math_ComplexOp::multIm($a, $im); echo "multIm(a, i) = " . $z->toString() . "\n"; $z = Math_ComplexOp::powReal($a, M_E); echo "powReal(a, M_E) = " . $z->toString() . "\n";