using System; using System.Collections.Generic; using System.Linq; using System.Text; using V = Science.Mathematics.VectorCalculus; namespace VectorCalculus5Ed.Chapter2.Section1 { public class Example03 { public Example03() { } private string result; public string Result { get{return result;} } public void Compute() { Science.Mathematics.Function.ToLastType cf = new Science.Mathematics.Function.ToLastType(Box); V.Domain2D xd = new V.Domain2D(); xd.ConditionFunctionsLessThanZero = cf; xd.LowerBoundOfX = -1.0; xd.LowerBoundOfY = -1.0; xd.UpperBoundOfX = 1.0; xd.UpperBoundOfY = 1.0; Science.Mathematics.Function.ToLastType f = new Science.Mathematics.Function.ToLastType(func); V.LevelCurve ls = new V.LevelCurve(f, 0.5, xd); ls.FindCurve(0.01); for (int i = 0; i < ls.CurvePointX.Count; i++) { result += ls.CurvePointX[i].ToString() + "\t"; result += ls.CurvePointY[i].ToString() + "\r\n"; } } private double func(double x, double y) { return x * x + y * y; } private double[] Box(double x, double y) { double[] f = new double[4]; f[0] = x - 1.0; f[1] = -x - 1.0; f[2] = y - 1.0; f[3] = -y - 1.0; return f; } } } /* -0.7 -0.1 -0.701347517730496 -0.09 -0.702553191489362 -0.08 -0.703617021276596 -0.07 -0.704539007092199 -0.0599999999999999 -0.70531914893617 -0.0499999999999999 -0.705957446808511 -0.04 -0.70645390070922 -0.03 -0.706808510638298 -0.02 -0.707021276595745 -0.01 -0.70709219858156 0 -0.707021276595745 0.01 -0.706808510638298 0.02 -0.70645390070922 0.03 -0.705957446808511 0.04 -0.70531914893617 0.05 -0.704539007092199 0.0600000000000001 -0.703617021276596 0.0700000000000001 -0.702553191489362 0.0800000000000001 -0.701347517730496 0.0900000000000001 -0.7 0.1 -0.691007194244604 -0.15 -0.693093525179856 -0.14 -0.695035971223022 -0.13 -0.696834532374101 -0.12 -0.698489208633094 -0.11 -0.7 -0.1 -0.7 0.1 -0.698489208633093 0.11 -0.696834532374101 0.12 -0.695035971223022 0.13 -0.693093525179856 0.14 -0.691007194244604 0.15 -0.681094890510949 -0.19 -0.683795620437956 -0.18 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