/**
* Test if a Math_Polynomial object is an odd function (i.e.: f(-x) == -f(x) for all x)
*
* @see Math_PolynomialOp::isEven()
*
* @access public
*
* @param mixed $p
* @param integer $num_test_points
* @return bool
*/
function isOdd($p, $num_test_points = 10)
{
// f(-x) == -f(x) symmetry about origin/x=y
$func = Math_PolynomialOp::createFunction($p);
for ($i = 0; $i < $num_test_points; $i++) {
$x = rand();
if ($func(-1 * $x) != -1 * $func($x)) {
return false;
}
}
return true;
}
