CODEWITHSUNDEEP
c#
Jhogg
Jhogg

Reputation: 109

Solving polynomial 3rd order polynomial equation for intensity mapping

I am currently working on a concentration based gas dispersion model and I am having some issues with the data analysis. I currently have a model that outputs Concentration formula as a function of x,y,z. I was wondering if it was possible to write a program that would find all of the points (x,y,z) that output a concentration value greater than 0. For example

My equation looks something like this (The equation is a lot more complicated, but you see what I mean).

Concentration Value (ppm) = C(x,y,z) = (2*X) + (5*Y) + 6(Z^2)

and I am looking for all int plots (so x, y, and z) that return a concentration value of greater than 0 as well as the corresponding output value.

Any help or links would be greatly appreciated.

Upvotes: 1

Views: 403

Answers (1)

Alex Filipovici
Alex Filipovici

Reputation: 32571

Not sure if this is what you need, but try this simple approach, which uses the [-10,10) values range for x,y and z:

class Program
{
    static void Main(string[] args)
    {
        int x = 0, y = 0, z = 0;
        int x1 = -10, x2 = 10,
            y1 = -10, y2 = 10,
            z1 = -10, z2 = 10;

        for (int ix = x1; ix < x2; ix++)
        {
            for (int iy = y1; iy < y2; iy++)
            {
                for (int iz = z1; iz < z2; iz++)
                {
                    var result = (2 * ix) + (5 * iy) + 6 * (Math.Pow(iz, 2));
                    if (result > 0)
                    {
                        Console.WriteLine("x {0} y {1} z {2} : {3}", 
                            ix, iy, iz, result);
                    }
                }
            }
        }
    }
}

Upvotes: 3

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