include 'Math/PolynomialOp.php'; echo "<br />-- Algebra --<br />"; $p = new Math_Polynomial('3x^2 + 2x'); $q = new Math_Polynomial('4x + 1'); echo 'P is: ' . $p->toString() . "<br />"; echo 'Q is: ' . $q->toString() . "<br />"; $mul = Math_PolynomialOp::mul($p, $q); // Multiply p by q echo 'P multiplied by Q is: ' . $mul->toString() . "<br />"; // Print string representation echo 'The degree of that result is: ' . $mul->degree() . "<br />"; echo 'That result evaluated at x = 10 is: ' . number_format(Math_PolynomialOp::evaluate($mul, 10)) . "<br />"; $sub = Math_PolynomialOp::sub($p, $q); echo 'P minus Q is: ' . $sub->toString() . "<br />"; $r = new Math_Polynomial('3x^3 - 5x^2 + 10x-3'); $s = new Math_Polynomial('3x+1'); $remainder = new Math_Polynomial(); echo 'R is: ' . $r->toString() . "<br />"; echo 'S is: ' . $s->toString() . "<br />"; $div = Math_PolynomialOp::div($r, $s, $remainder); echo 'R divided by S is: ' . $div->toString() . ' ( remainder of: ' . $remainder->toString() . ' )' . "<br />"; echo "<br />-- Creating Polynomials --<br />"; $roots = Math_PolynomialOp::createFromRoots(1, 2, -3); echo 'Here is a polynomial with the roots 1, 2, and -3: ' . $roots->toString() . "<br />"; echo "<br />-- Derivatives --<br />"; echo 'f(x) is: ' . $p->toString() . "<br />"; $der1 = Math_PolynomialOp::getDerivative($p); echo 'f\'(x) is: ' . $der1->toString() . ' (first derivative)' . "<br />"; $der2 = Math_PolynomialOp::getDerivative($p, 2); echo 'f\'\'(x) is: ' . $der2->toString() . ' (second derivative)' . "<br />"; echo "<br />";
function testFromRoots() { $p = Math_PolynomialOp::createFromRoots(array(0, 3, -3)); $this->assertEquals('x^3 - 9x', $p->toString()); }