I've recently been trying to figure how to correctly implement this into Graal. I've also been trying to improve my math-based scripting. 
This is a sample script I had to test the outcome of the 4 given points. The solution I get is x1 and x2 = 5.82375. I just need to find out if this is correct? And if it isn't what is the correct way of doing it, and how can I improve onto my knowledge of scripting? In case your wondering how I got the variable t. And yes I spelled Beiser wrong it should be Bezier.
The t parameter (varying from 0 to 1) cuts the P1-P4 segment to intervals, according to the wanted accuracy.
When t = 0 results are t(x1) = P1(x1) and t(x2)= P1(x2)
When t = 1 results are t(x1) = P4(x1) and t(x2)= P4(x2)
PHP Code:
//#CLIENTSIDE
function onPlayerChats()
{
if (player.chat == "/curve")
{
Beiser2D();
}
}
function Beiser2D()
{
t = .05;
a = 5; // p1
b = 10; // p2
c = 25; // p3
d = 40; // p4
x1 = (1 - t)^3 * a + 3 * (1 - t)^2 * t * b + 3 * (1 - t) * t^2 * c + t^3 * d;
x2 = (1 - t)^3 * a + 3 * (1 - t)^2 * t * b + 3 * (1 - t) * t^2 * c + t^3 * d;
player.chat = "Solution is:" SPC x1 SPC "/" SPC x2;
}
The Formulas are:
PHP Code:
t(x1) = (1-t)3 x P1x + 3 x (1-t)2 x t x P2x + 3 x (1-t) x t2 x P3x + t3 x P4x
t(x2) = (1-t)3 x P1y + 3 x (1-t)2 x t x P2y + 3 x (1-t) x t2 x P3y + t3 x P4y