/// <summary>
/// 最小二乘误差矩阵
/// [1 0 -y x]
/// [0 1 x y]
/// </summary>
/// <param name="X"></param>
/// <returns></returns>
private double[,] GetB(double[,] X)
{
int rowNum = X.GetLength(0);
double[,] B = MatrixTool.Init(rowNum, 4);
//double[,] M = GetM();
double[,] mi = MatrixTool.Ident(2);
//double[,] MK;
//MK = specialMulti(M, X);
for (int i = 0; i < rowNum; i += 2)
{
MatrixTool.CopySub(mi, 0, 0, 2, 2, ref B, i, 0);
}
for (int i = 0; i < rowNum; i += 2)
{
B[i, 2] = X[i, 0];
B[i, 3] = -X[i + 1, 0];
B[i + 1, 2] = X[i + 1, 0];
B[i + 1, 3] = X[i, 0];
}
return(B);
}
///// <summary>
///// 残差矩阵
///// </summary>
///// <returns></returns>
//private double[,] GetA()
//{
// double[,] M = GetM();
// double[,] I2 = MatrixTool.Ident(2);
// double[,] A = MatrixTool.Init(2, 4);
// MatrixTool.MutliConst(ref I2, -1);
// //MatrixTool.MutliConst(ref M, (1 + k));
// MatrixTool.CopySub(M, 0, 0, 2, 2, ref A, 0, 0);
// MatrixTool.CopySub(I2, 0, 0, 2, 2, ref A, 0, 2);
// return A;
//}
//private double[,] GetV(double[,] X, double[,] Y, CoordTrans4Param dpp)
//{
// int rowNum = X.GetLength(0);
// double[,] B, F, A, B2, B3, F2, V;
// double[,] AT = MatrixTool.Init(4, 2);
// A = GetA();
// MatrixTool.AT(A, ref AT);
// MatrixTool.MutliConst(ref AT, 1 / (1 + (1 + k) * (1 + k)));
// F = GetF(X, Y);
// B = GetB(X);
// B2 = MatrixTool.Init(2, 4);
// B3 = MatrixTool.Init(2, 1);
// F2 = MatrixTool.Init(rowNum, 1);
// for (int i = 0; i < rowNum / 2; i++)
// {
// MatrixTool.CopySub(B, i * 2, 0, 2, 4, ref B2, 0, 0);
// MatrixTool.Multi(B2, dpp.values, ref B3);
// MatrixTool.CopySub(B3, 0, 0, 2, 1, ref F2, i * 2, 0);
// }
// MatrixTool.Sub(F, F2, ref F2);
// V = specialMulti(AT, F2);
// return V;
//}
/// <summary>
/// X矩阵如下所示
///
///
/// </summary>
/// <param name="X"></param>
/// <param name="Y"></param>
/// <returns></returns>
public double CalculateTrans4Param(double[,] X, double[,] Y)
{
int PtNum = X.GetLength(0) / 2;
double[,] B;
double[,] F;
double[,] BT = MatrixTool.Init(4, 2 * PtNum);
double[,] BTB = MatrixTool.Init(4, 4);
double[,] BTF = MatrixTool.Init(4, 1);
//init pararm
CoordTrans4Param dpp = new CoordTrans4Param();
Set4Param(0, 0, 0, 0);
//this.SetRotationParamMM(0, 0, 0);
//debug
//this.TransCoord(X[0,0],X[1,0],X[2,0],out x2,out y2,out z2);
int round = 0;
while (round++ < 20)
{
F = GetF(X, Y);
B = GetB(X);
MatrixTool.AT(B, ref BT);
MatrixTool.Multi(BT, B, ref BTB);
MatrixTool.Inv(BTB);
MatrixTool.Multi(BT, F, ref BTF);
MatrixTool.Multi(BTB, BTF, ref dpp.values);
if (dpp.isSmall())
{
break;
}
else
{
MatrixTool.Add(this.values, dpp.values, ref this.values);
}
}
Console.WriteLine(round);
return(-1);
//this.TransCoord(X[0,0],X[1,0],X[2,0],out x2,out y2,out z2);
//double[,] V = GetV(X, Y, dpp);
//double vMax = -1;
//for (int i = 0; i < V.GetLength(0); i++)
//{
// if (Math.Abs(V[i, 0]) > vMax)
// vMax = Math.Abs(V[i, 0]);
//}
//return vMax;
}
/// <summary>
/// 获取观测方程。 -DeltaX - ((1+k)*RotateMatrix*X - Y)， 或者 Y = DeltaX + (1+k)*RotateMatrix*X (布尔沙方程)
/// </summary>
/// <param name="X">原始点</param>
/// <param name="Y">目标点</param>
/// <returns></returns>
private double[,] GetF(double[,] X, double[,] Y)
{
double[,] f0;
double[,] qx = MatrixTool.Init(X.GetLength(0), 1);
double[,] K = { { -dx }, { -dy } };
//double[,] S = { { 1 } };
//MatrixTool.Multi(X, S, ref qx);
double[,] M = GetM();
qx = specialMulti(M, X);
MatrixTool.Sub(qx, Y, ref qx);
f0 = specialSub(K, qx);
return(f0);
}
public void TransCoord(double x1, double y1, out double x2, out double y2)
{
double[,] Xi = { { x1 }, { y1 } };
double[,] DX = { { dx }, { dy } };
double[,] tY = new double[2, 1];
//double[,] K = { { 1 + k } };
double[,] M = GetM();
//MatrixTool.Multi(Xi, K, ref tY);
MatrixTool.Multi(M, Xi, ref tY);
MatrixTool.Add(tY, DX, ref tY);
x2 = tY[0, 0];
y2 = tY[1, 0];
}
private double[,] specialSub(double[,] m, double[,] X)
{
int rowNumM = m.GetLength(0);
int colNumM = m.GetLength(1);
int rowNumX = X.GetLength(0);
int colNumX = X.GetLength(1);
int lines = rowNumX / rowNumM;
double[,] subX = MatrixTool.Init(rowNumM, colNumX);
double[,] res = MatrixTool.Init(rowNumX, colNumX);
for (int i = 0; i < rowNumX; i += rowNumM)
{
MatrixTool.CopySub(X, i, 0, rowNumM, colNumX, ref subX, 0, 0);
MatrixTool.Sub(m, subX, ref subX);
MatrixTool.CopySub(subX, 0, 0, rowNumM, colNumX, ref res, i, 0);
}
return(res);
}
private double[,] specialMulti(double[,] m, double[,] X)
{
int rowNumM = m.GetLength(0);
int colNumM = m.GetLength(1);
int rowNumX = X.GetLength(0);
int colNumX = X.GetLength(1);
int lines = rowNumX / colNumM;
double[,] mt = MatrixTool.Init(rowNumM, colNumX);
double[,] subX = MatrixTool.Init(colNumM, colNumX);
double[,] res = MatrixTool.Init(rowNumM * lines, colNumX);
for (int i = 0; i < lines; i++)
{
MatrixTool.CopySub(X, i * colNumM, 0, colNumM, colNumX, ref subX, 0, 0);
MatrixTool.Multi(m, subX, ref mt);
MatrixTool.CopySub(mt, 0, 0, rowNumM, colNumX, ref res, i * rowNumM, 0);
}
return(res);
}
// 117.11726427，36.67414252
public static void MarsToEarth(double[] marsLong, double[] marsLat, double[] earthLong, double[] earthLat,
double[] newMarsLong, double[] newMarsLat, out double[] newEarthLong, out double[] newEarthLat)
{
int ptNum = marsLong.Length;
double[,] X = MatrixTool.Init(2 * ptNum, 1);
double[,] Y = MatrixTool.Init(2 * ptNum, 1);
int pN = newMarsLong.Length;
double[] XX = new double[pN * 2];
double[] YY = new double[pN * 2];
newEarthLong = new double[pN];
newEarthLat = new double[pN];
//double[] YYRes = new double[pN * 2];
for (int i = 0; i < ptNum; i++)
{
CoordinateConverter.LatLonToUTMXY(marsLat[i], marsLong[i], out X[2 * i + 0, 0], out X[2 * i + 1, 0]);
CoordinateConverter.LatLonToUTMXY(earthLat[i], earthLong[i], out Y[2 * i + 0, 0], out Y[2 * i + 1, 0]);
CoordinateConverter.LatLonToUTMXY(newMarsLat[i], newMarsLong[i], out XX[2 * i + 0], out XX[2 * i + 1]);
}
CoordTrans4Param ct = new CoordTrans4Param();
ct.CalculateTrans4Param(X, Y);
for (int i = 0; i < pN; i++)
{
ct.TransCoord(XX[i * 2 + 0], XX[i * 2 + 1], out YY[i * 2 + 0], out YY[i * 2 + 1]);
CoordinateConverter.UTMXYToLatLon(YY[i * 2 + 0], YY[i * 2 + 1], out newEarthLat[i], out newEarthLong[i]);
//Console.WriteLine("准确的 x {0}, y {1}, 计算的 x {2} , y {3} ", YYRead[i * 2 + 0], YYRead[i * 2 + 1], YY84[i * 2 + 0], YY84[i * 2 + 1]);
//Console.WriteLine("准确的 x {0}, y {1}, 计算的 x {2} , y {3} ", YYRead[i * 2 + 0], YYRead[i * 2 + 1], YY[i * 2 + 0] / sx + cx2, YY[i * 2 + 1] / sy + cy2);
}
//return YYRes;
}