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 />";
/**
* Tell whether or not a Polynomial is constant (degree 0)
*
* @access public
*
* @param object $p
* @return bool
*/
function isConstant($p)
{
if (!is_a($p, 'Math_Polynomial')) {
$p = new Math_Polynomial($p);
}
if ($p->numTerms() == 1) {
$term = $p->getTerm(0);
if ($term->getExponent() == 0) {
return true;
}
} else {
if ($p->numTerms() == 0) {
return true;
}
}
return false;
}
include 'Math/PolynomialOp.php';
print "\n-- Algebra --\n";
$p = new Math_Polynomial('3x^2 + 2x');
$q = new Math_Polynomial('4x + 1');
print 'P is: ' . $p->toString() . "\n";
print 'Q is: ' . $q->toString() . "\n";
$mul = Math_PolynomialOp::mul($p, $q);
// Multiply p by q
print 'P multiplied by Q is: ' . $mul->toString() . "\n";
// Print string representation
print 'The degree of that result is: ' . $mul->degree() . "\n";
print 'That result evaluated at x = 10 is: ' . number_format(Math_PolynomialOp::evaluate($mul, 10)) . "\n";
$sub = Math_PolynomialOp::sub($p, $q);
print 'P minus Q is: ' . $sub->toString() . "\n";
$r = new Math_Polynomial('3x^3 - 5x^2 + 10x-3');
$s = new Math_Polynomial('3x+1');
$remainder = new Math_Polynomial();
print 'R is: ' . $r->toString() . "\n";
print 'S is: ' . $s->toString() . "\n";
$div = Math_PolynomialOp::div($r, $s, &$t);
print 'R divided by S is: ' . $div->toString() . ' ( remainder of: ' . $remainder->toString() . ' )' . "\n";
print "\n-- Creating Polynomials --\n";
$roots = Math_PolynomialOp::createFromRoots(1, 2, -3);
print 'Here is a polynomial with the roots 1, 2, and -3: ' . $roots->toString() . "\n";
print "\n-- Derivatives --\n";
print 'f(x) is: ' . $p->toString() . "\n";
$der1 = Math_PolynomialOp::getDerivative($p);
print 'f\'(x) is: ' . $der1->toString() . ' (first derivative)' . "\n";
$der2 = Math_PolynomialOp::getDerivative($p, 2);
print 'f\'\'(x) is: ' . $der2->toString() . ' (second derivative)' . "\n";
print "\n";
function testToString()
{
$str = '4x^2 + 2x + 1';
$p = new Math_Polynomial($str);
$this->assertTrue($str == $p->toString());
}
