using System; using System.Collections.Generic; using System.Linq; using System.Text; using V = Science.Mathematics.VectorCalculus; namespace VectorCalculus5Ed.Chapter2.Section1 { public class Example06 { public Example06() { } private string result; public string Result { get{return result;} } public void Compute() { Science.Mathematics.Function.ToLastType cf = new Science.Mathematics.Function.ToLastType(Circle); V.Domain3D xd = new V.Domain3D(); xd.ConditionFunctionsLessThanZero = cf; xd.LowerBoundOfX = -1.0; xd.LowerBoundOfY = -1.0; xd.LowerBoundOfZ = -1.0; xd.UpperBoundOfX = 1.0; xd.UpperBoundOfY = 1.0; xd.UpperBoundOfZ = 1.0; Science.Mathematics.Function.ToLastType f = new Science.Mathematics.Function.ToLastType(func); V.LevelSurface ls = new V.LevelSurface(f, -0.1, xd); ls.FindSurface(0.1); for (int i = 0; i < ls.SurfacePointX.Count; i++) { double a = (double)ls.SurfacePointX[i] * (double)ls.SurfacePointX[i] + (double)ls.SurfacePointY[i] * (double)ls.SurfacePointY[i] - (double)ls.SurfacePointZ[i] * (double)ls.SurfacePointZ[i]; result += ls.SurfacePointX[i].ToString() + "\t "; result += ls.SurfacePointY[i].ToString() + "\t "; result += ls.SurfacePointZ[i].ToString() + "\t "; result += a.ToString() + "\r\n"; } } private double func(double x, double y, double z) { return x * x + y * y - z * z; } private double[] Circle(double x, double y, double z) { double[] f = new double[1]; f[0] = x * x + y * y + z * z - 10.0; return f; } } } /* -0.926315789473684 -0.2 -1 -0.101939058171745 -0.942105263157895 -0.1 -1 -0.102437673130194 -0.947368421052632 0 -1 -0.102493074792244 -0.942105263157895 0.1 -1 -0.102437673130194 -0.926315789473684 0.2 -1 -0.101939058171745 -0.805882352941176 -0.5 -1 -0.100553633217993 -0.858823529411765 -0.4 -1 -0.10242214532872 -0.9 -0.3 -1 -0.1 -0.9 -0.3 -1 -0.1 -0.9 -0.2 -0.973684210526316 -0.0980609418282549 -0.817647058823529 -0.2 -0.9 -0.101453287197232 -0.9 -0.1 -0.957894736842105 -0.097562326869806 -0.835294117647059 -0.1 -0.9 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