Esempio n. 1
0
        private static void test()
        {
            Poly2 poly = new Poly2(
                new Complex(2, 3),
                new Complex(1, -2),
                new Complex(-1, 4));

            poly.solve();
            poly.print();
        }
Esempio n. 2
0
 //Neumark - Solution Of Cubic & Quartic Equations
 public void solve()
 {
     x = new Complex[4];
     if (B.abs() < 1e-12 && D.abs() < 1e-12)
     {
         Poly2 poly2 = new Poly2(A, C, E);
         poly2.solve();
         x[0] = poly2.x[0].sqrt();
         x[1] = x[0].negate();
         x[2] = poly2.x[1].sqrt();
         x[3] = x[2].negate();
     }
     else
     {
         Poly3 subpoly = new Poly3(Complex.ONE,
                                   C * (-2),
                                   C * C + B * D - A * E * 4,
                                   -(B * C * D - B * B * E - A * D * D));
         subpoly.solve();
         Complex y = findMaxDelta(subpoly.x);
         Complex DeltaRoot = (B * B - A * y * 4).sqrt();
         Complex G, g, H, h;
         if (DeltaRoot.abs() < 1e-12)
         {
             G = B * 0.5;
             g = G;
             H = (C - y) * 0.5;
             h = H;
         }
         else
         {
             G = (B + DeltaRoot) * 0.5;
             g = (B - DeltaRoot) * 0.5;
             Complex part = (B * (C - y) - A * D * 2) / (DeltaRoot * 2);
             H = (C - y) * 0.5 + part;
             h = (C - y) * 0.5 - part;
         }
         Poly2 poly2a = new Poly2(A, G, H);
         poly2a.solve();
         Poly2 poly2b = new Poly2(A, g, h);
         poly2b.solve();
         x[0] = poly2a.x[0];
         x[1] = poly2a.x[1];
         x[2] = poly2b.x[0];
         x[3] = poly2b.x[1];
     }
 }