From 0b108f56b2d0c35d01ee361dc593119ac52a14e1 Mon Sep 17 00:00:00 2001
From: lx <ex_lixiang17@cosl.com.cn>
Date: 星期五, 05 九月 2025 16:39:13 +0800
Subject: [PATCH] update
---
ErrorAnalysis.Service/Utility.cs | 193 ++++++++++++++++++++++++++++++++++++++++++++++++
1 files changed, 193 insertions(+), 0 deletions(-)
diff --git a/ErrorAnalysis.Service/Utility.cs b/ErrorAnalysis.Service/Utility.cs
index e491bad..66b5738 100644
--- a/ErrorAnalysis.Service/Utility.cs
+++ b/ErrorAnalysis.Service/Utility.cs
@@ -144,6 +144,199 @@
return result;
}
+ public static (double a, double b, double c) quadraticLine(double[] arrX, double[] arrY)
+ {
+ double[] coef = new double[3];
+ double[,] AA = new double[3, 3];
+ double[,] TAA = new double[3, 3];
+ double[,] BAA = new double[3, 1];
+ double[] B = new double[3];
+ int m = arrX.Length;
+
+ double[] arrXp = new double[m];
+ double[] arrXc = new double[m];
+ double[] arrXv = new double[m];
+ double[] y = new double[m];
+
+ for (int i = 0; i < m; i++)
+ {
+ arrXp[i] = arrX[i] * arrX[i];
+ }
+ for (int i = 0; i < m; i++)
+ {
+ arrXc[i] = arrX[i] * arrX[i] * arrX[i];
+ }
+ for (int i = 0; i < m; i++)
+ {
+ arrXv[i] = arrX[i] * arrX[i] * arrX[i] * arrX[i];
+ }
+ double a1 = mysum(arrX);
+ double a2 = mysum(arrXp);
+ double a3 = mysum(arrXc);
+ double a4 = mysum(arrXv);
+
+ AA[0, 0] = m;
+ AA[0, 1] = a1;
+ AA[0, 2] = a2;
+ AA[1, 0] = a1;
+ AA[1, 1] = a2;
+ AA[1, 2] = a3;
+ AA[2, 0] = a2;
+ AA[2, 1] = a3;
+ AA[2, 2] = a4;
+ double[] xy = new double[m];
+ double[] xxy = new double[m];
+ for (int i = 0; i < m; i++)
+ {
+ xy[i] = arrX[i] * arrY[i];
+ }
+ for (int i = 0; i < m; i++)
+ {
+ xxy[i] = arrX[i] * arrX[i] * arrY[i];
+ }
+ double b1 = mysum(arrY);
+ double b2 = mysum(xy);
+ double b3 = mysum(xxy);
+ B[0] = b1;
+ B[1] = b2;
+ B[2] = b3;
+ TAA = ReverseMatrix(AA, 3);
+ for (int i = 0; i < 3; i++)
+ {
+ for (int j = 0; j < 3; j++)
+ {
+ coef[i] = coef[i] + TAA[i, j] * B[j];
+ }
+ }
+ return (coef[2], coef[1], coef[0]);
+
+ }
+
+ public static double[,] ReverseMatrix(double[,] dMatrix, int Level)
+ {
+ double dMatrixValue = MatrixValue(dMatrix, Level);
+ if (dMatrixValue == 0) return null;
+ double[,] dReverseMatrix = new double[Level, 2 * Level];
+ double x, c;
+ // Init Reverse matrix
+ for (int i = 0; i < Level; i++)
+ {
+ for (int j = 0; j < 2 * Level; j++)
+ {
+ if (j < Level)
+ dReverseMatrix[i, j] = dMatrix[i, j];
+ else
+ dReverseMatrix[i, j] = 0;
+ }
+ dReverseMatrix[i, Level + i] = 1;
+ }
+ for (int i = 0, j = 0; i < Level && j < Level; i++, j++)
+ {
+ if (dReverseMatrix[i, j] == 0)
+ {
+ int m = i;
+ for (; dMatrix[m, j] == 0; m++) ;
+ if (m == Level)
+ return null;
+ else
+ {
+ // Add i-row with m-row
+ for (int n = j; n < 2 * Level; n++)
+ dReverseMatrix[i, n] += dReverseMatrix[m, n];
+ }
+ }
+ // Format the i-row with "1" start
+ x = dReverseMatrix[i, j];
+ if (x != 1)
+ {
+ for (int n = j; n < 2 * Level; n++)
+ if (dReverseMatrix[i, n] != 0)
+ dReverseMatrix[i, n] /= x;
+ }
+ // Set 0 to the current column in the rows after current row
+ for (int s = Level - 1; s > i; s--)
+ {
+ x = dReverseMatrix[s, j];
+ for (int t = j; t < 2 * Level; t++)
+ dReverseMatrix[s, t] -= (dReverseMatrix[i, t] * x);
+ }
+ }
+ // Format the first matrix into unit-matrix
+ for (int i = Level - 2; i >= 0; i--)
+ {
+ for (int j = i + 1; j < Level; j++)
+ if (dReverseMatrix[i, j] != 0)
+ {
+ c = dReverseMatrix[i, j];
+ for (int n = j; n < 2 * Level; n++)
+ dReverseMatrix[i, n] -= (c * dReverseMatrix[j, n]);
+ }
+ }
+ double[,] dReturn = new double[Level, Level];
+ for (int i = 0; i < Level; i++)
+ for (int j = 0; j < Level; j++)
+ dReturn[i, j] = dReverseMatrix[i, j + Level];
+ return dReturn;
+ }
+ private static double MatrixValue(double[,] MatrixList, int Level)
+ {
+ double[,] dMatrix = new double[Level, Level];
+ for (int i = 0; i < Level; i++)
+ for (int j = 0; j < Level; j++)
+ dMatrix[i, j] = MatrixList[i, j];
+ double c, x;
+ int k = 1;
+ for (int i = 0, j = 0; i < Level && j < Level; i++, j++)
+ {
+ if (dMatrix[i, j] == 0)
+ {
+ int m = i;
+ for (; dMatrix[m, j] == 0; m++) ;
+ if (m == Level)
+ return 0;
+ else
+ {
+ // Row change between i-row and m-row
+ for (int n = j; n < Level; n++)
+ {
+ c = dMatrix[i, n];
+ dMatrix[i, n] = dMatrix[m, n];
+ dMatrix[m, n] = c;
+ }
+ // Change value pre-value
+ k *= (-1);
+ }
+ }
+ // Set 0 to the current column in the rows after current row
+ for (int s = Level - 1; s > i; s--)
+ {
+ x = dMatrix[s, j];
+ for (int t = j; t < Level; t++)
+ dMatrix[s, t] -= dMatrix[i, t] * (x / dMatrix[i, j]);
+ }
+ }
+ double sn = 1;
+ for (int i = 0; i < Level; i++)
+ {
+ if (dMatrix[i, i] != 0)
+ sn *= dMatrix[i, i];
+ else
+ return 0;
+ }
+ return k * sn;
+ }
+
+ public static double mysum(double[] XX)
+ {
+ double reout = 0;
+ int mm = XX.Length;
+ for (int i = 0; i < mm; i++)
+ {
+ reout = reout + XX[i];
+ }
+ return reout;
+ }
+
public static double GetParabolaValue(double x, double a, double b, double c)
{
return a * x * x + b * x + c;
--
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