513 lines
17 KiB
C#
513 lines
17 KiB
C#
using System;
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using System.Collections.Generic;
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using System.Linq;
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using System.Web;
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using System.Collections;
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using System.Data;
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using ASPNet_Drawing;
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/// <summary>
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///SpcCaculator 的摘要说明
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/// </summary>
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public class SpcCaculator
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{
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/// <summary>
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/// SPC系数表
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///(0)样本大小 (1)A (2)A2 (3)A3 (4)C4 (5)1/C4 (6)B3 (7)B4 (8)B5 (9)B6 (10)d2 (11)1/d2 (12)d3 (13)D1 (14)D2 (15)D3 (16)D4 (17)M3 (18)M3A2
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/// </summary>
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static public double[,] SPC_coefficient = { {2,2.121,1.880,2.659,0.798,1.253,0,3.267,0,2.606,1.128,0.887,0.853,0,3.686,0,3.267,1.000,1.880},
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{3,1.732,1.023,1.954,0.886,1.128,0,2.568,0,2.276,1.693,0.591,0.888,0,4.358,0,2.574,1.160,1.187},
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{4,1.500,0.729,1.628,0.921,1.085,0,2.266,0,2.088,2.059,0.486,0.880,0,4.698,0,2.282,1.092,0.796},
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{5,1.342,0.572,1.427,0.940,1.064,0,2.089,0,1.964,2.326,0.430,0.864,0,4.918,0,2.114,1.198,0.691},
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{6,1.225,0.483,1.287,0.952,1.051,0.030,1.970,0.029,1.874,2.534,0.395,0.848,0,5.078,0,2.004,1.135,0.549},
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{7,1.134,0.419,1.182,0.959,1.042,0.118,1.882,0.113,1.806,2.704,0.370,0.833,0.204,5.204,0.076,1.924,1.214,0.509},
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{8,1.061,0.373,1.099,0.965,1.036,0.185,1.815,0.179,1.751,2.847,0.351,0.820,0.388,5.306,0.136,1.864,1.160,0.432},
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{9,1.00,0.377,1.032,0.969,1.032,0.29,1.761,0.232,1.707,2.970,0.337,0.808,0.547,5.393,0.184,1.816,1.223,0.412},
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{10,0.949,0.308,0.975,0.973,1.028,0.284,1.716,0.276,1.669,3.078,0.325,0.797,0.687,5.469,0.223,1.777,1.176,0.363},
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{11,0.905,0.285,0.927,0.975,1.025,0.321,1.679,0.313,1.637,3.173,0.315,0.787,0.811,5.535,0.256,1.744,0,0},
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{12,0.886,0.266,0.886,0.978,1.023,0.354,1.646,0.346,1.610,3.258,0.307,0.778,0.922,5.594,0.283,1.717,0,0},
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{13,0.832,0.249,0.850,0.979,1.021,0.382,1.618,0.374,1.585,3.336,0.300,0.770,1.025,5.647,0.307,1.693,0,0},
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{14,0.802,0.235,0.817,0.981,1.019,0.406,1.594,0.399,1.563,3.407,0.294,0.763,1.118,5.696,0.328,1.672,0,0},
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{15,0.775,0.223,0.789,0.982,1.018,0.428,1.157,0.421,1.544,3.472,0.288,0.756,1.203,5.741,0.347,1.653,0,0},
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{16,0.750,0.212,0.763,0.984,1.017,0.448,1.552,0.440,1.526,3.532,0.283,0.750,1.282,5.782,0.363,1.637,0,0},
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{17,0.728,0.203,0.739,0.985,1.016,0.466,1.534,0.458,1.511,3.588,0.279,0.744,1.356,5.820,0.378,1.622,0,0},
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{18,0.707,0.194,0.718,0.985,1.015,0.482,1.518,0.475,1.496,3.640,0.275,0.739,1.424,5.856,0.391,1.608,0,0},
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{19,0.688,0.187,0.698,0.986,1.014,0.497,1.503,0.490,1.483,3.689,0.271,0.734,1.487,5.891,0.403,1.597,0,0},
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{20,0.671,0.180,0.680,0.987,1.013,0.510,1.490,0.504,1.470,3.735,0.268,0.729,1.549,5.921,0.415,1.585,0,0},
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{21,0.655,0.173,0.663,0.988,1.013,0.253,1.477,0.516,1.459,3.778,0.265,0.724,1.605,5.951,0.425,1.575,0,0},
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{22,0.640,0.167,0.647,0.988,1.012,0.534,1.466,0.528,1.448,3.819,0.262,0.720,1.659,5.979,0.434,1.566,0,0},
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{23,0.626,0.126,0.633,0.989,1.011,0.545,1.455,0.539,1.438,3.858,0.259,0.716,1.710,6.006,0.443,1.557,0,0},
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{24,0.612,0.157,0.619,0989,1.011,0.555,1.445,0.549,1.429,3.895,0.257,0.712,1.759,6.031,0.451,1.548,0,0},
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{25,0.600,0.153,0.606,0.990,1.011,0.565,1.435,0.559,1.420,3.931,0.254,0.708,1.806,6.056,0.459,1.541,0,0} };
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static double QU_k = 0.99865;
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static double QL_k = 0.00135;
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/// <summary>
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/// 计算SPC主要参数：
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/// 输入："X"被分析数据组；Usl理论上限；Lsl理论下限。
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/// 输出：x平均值；"s"均方差；"QU"百分比上限；"QL"百分比下限；"cp"工序能力；"cpk"工序能力指数
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/// </summary>
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/// <param name="X">被分析数据组</param>
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/// <param name="Usl">理论上限</param>
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/// <param name="Lsl">理论下限</param>
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/// <param name="x">平均值</param>
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/// <param name="s">均方差</param>
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/// <param name="QU">百分比上限</param>
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/// <param name="QL">百分比下限</param>
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/// <param name="cp">工序能力</param>
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/// <param name="cpk">工序能力指数</param>
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public static void SpcValue(double[] X, ref double Usl, ref double Lsl, out double x, out double s,
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out double QU, out double QL, out double cp, out double cpk, out double[] sx, out double[] sy)
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{
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x = AVERAGE(X);
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s = STDEV(X);
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if (Usl == Lsl)
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{
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Usl = x + 4.0 * s;
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Lsl = x - 4.0 * s;
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}
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QU_QL(X, out QU, out QL);
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cp = Cp(QU, QL, Usl, Lsl);
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cpk = Cpk(x, QU, QL, Usl, Lsl);
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sxy(s, x, out sx, out sy);
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}
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/// <summary>
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/// 计算SPC主要参数：
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/// 输入："X"被分析数据组；Usl理论上限；Lsl理论下限。
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/// 输出：x平均值；"s"均方差；"QU"百分比上限；"QL"百分比下限；"cp"工序能力；"cpk"工序能力指数
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/// </summary>
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/// <param name="X">被分析数据组</param>
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/// <param name="Usl">理论上限</param>
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/// <param name="Lsl">理论下限</param>
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/// <param name="x">平均值</param>
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/// <param name="s">均方差</param>
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/// <param name="QU">百分比上限</param>
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/// <param name="QL">百分比下限</param>
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/// <param name="cp">工序能力</param>
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/// <param name="cpk">工序能力指数</param>
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public static void SpcValue(int n,double[] X, ref double Usl, ref double Lsl, out double x, out double s,
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out double QU, out double QL, out double cp, out double cpk, out double[] sx, out double[] sy)
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{
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x = AVERAGE(X);
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s = STDEV(X);
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if (Usl == Lsl)
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{
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Usl = x + 4.0 * s;
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Lsl = x - 4.0 * s;
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}
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QU_QL(X, out QU, out QL);
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cp = Cp(QU, QL, Usl, Lsl);
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cpk = Cpk(x, QU, QL, Usl, Lsl);
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sxy(s, x, out sx, out sy);
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double X2 = Spc_Data.Average(X, n);
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double S2 = Spc_Data.StandardDeviation_S2(X, n);
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double R2 = Spc_Data.Range_R2(X, n);
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double xiGamaC4;
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double xiGamaD2;
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double c4 = (double)Spc_Data.Spc_Param.Tables[Xml_Spc_Param.Table_Name].Rows[n - 2][Xml_Spc_Param.Param_C4];
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double d2 = (double)Spc_Data.Spc_Param.Tables[Xml_Spc_Param.Table_Name].Rows[n - 2][Xml_Spc_Param.Param_L_D1];
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xiGamaC4 = S2 / c4;
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xiGamaD2 = R2 / d2;
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double USL = Usl;
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double LSL = Lsl;
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double T = USL - LSL;
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double CP = T / (6 * xiGamaD2);
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double M = (USL + LSL) / 2.0;
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double M1 = M - X2;
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M1 = Math.Abs(M1);
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double CPK = CP - M1 / (3 * xiGamaD2);
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cp = CP;
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cpk = CPK;
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}
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/// <summary>
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/// 均方差
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/// </summary>
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/// <param name="X">被分析数据组</param>
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/// <returns>均方差</returns>
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public static double STDEV(double[] X)
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{
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if (X.Length < 2)
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return 0;
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double s = 0;
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//平均值
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double x;
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x = AVERAGE(X);
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for (int i = 0; i < X.Length; i++)
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{
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s = s + (X[i] - x) * (X[i] - x);
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}
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s = Math.Sqrt(s / (double)(X.Length - 1));
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return s;
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}
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/// <summary>
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/// 平均值
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/// </summary>
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/// <param name="X">被分析数据组</param>
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/// <returns>平均值</returns>
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public static double AVERAGE(double[] X)
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{
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return X.Average();
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}
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/// <summary>
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/// 排序
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/// </summary>
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/// <param name="X"></param>
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/// <returns></returns>
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public static double[] Sort(double[] X)
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{
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ArrayList temp = new ArrayList(X);
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temp.Sort();
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return X = (double[])temp.ToArray(typeof(double));
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}
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/// <summary>
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/// 已知表格行数为m，各行的数值分别记为 ，其中 表示第 行的数值，
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/// 将这 个数值由小到大排列，记排列后的数值为 ，其中 表示 个数值经排列之后第k个数值。
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/// 给定上下标线数值0.99865和0.00135。计算Q上和Q下的方法为：
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///a = （m - 1）* 0.99865
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///取a的整数部分为i，小数部分为j。
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///Q上 = （1 – j）* x（i+1）+ j * x（i+2）
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///同理：
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///b = （m - 1）* 0.00135
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///取b的整数部分为i，小数部分为j。
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///Q下 = （1 – j）* x（i+1）+ j * x（i+2）
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/// </summary>
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/// <param name="X">被分析数据组</param>
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/// <param name="QU">百分比上限</param>
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/// <param name="QL">百分比下限</param>
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public static void QU_QL(double[] X, out double QU, out double QL)
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{
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QU = 0;
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QL = 0;
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double QU_n;
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int QU_n_i;
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double QU_n_j;
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double QL_n;
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int QL_n_i;
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double QL_n_j;
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X = Sort(X);
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QU_n = (double)(X.Length - 1) * QU_k;
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QU_n_i = (int)QU_n;
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QU_n_j = QU_n - QU_n_i;
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//Q上 = （1 – j）* x（i+1）+ j * x（i+2）
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QU = (1 - QU_n_j) * X[QU_n_i] + QU_n_j * X[QU_n_i + 1];
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QL_n = (double)(X.Length - 1) * QL_k;
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QL_n_i = (int)QL_n;
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QL_n_j = QL_n - QL_n_i;
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//Q下 = （1 – j）* x（i+1）+ j * x（i+2）
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QL = (1 - QL_n_j) * X[QL_n_i] + QL_n_j * X[QL_n_i + 1];
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return;
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}
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/// <summary>
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/// 工序能力
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/// </summary>
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/// <param name="X">被分析数据组</param>
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/// <param name="Usl">理论上限</param>
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/// <param name="Lsl">理论下限</param>
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/// <returns>工序能力</returns>
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public static double Cp(double[] X, double Usl, double Lsl)
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{
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double QU;
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double QL;
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double cp = 0;
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QU_QL(X, out QU, out QL);
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cp = (Usl - Lsl) / (QU - QL);
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return cp;
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}
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/// <summary>
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/// 工序能力
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/// </summary>
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/// <param name="QU">百分比上限</param>
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/// <param name="QL">百分比下限</param>
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/// <param name="Usl">理论上限</param>
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/// <param name="Lsl">理论下限</param>
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/// <returns></returns>
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public static double Cp(double QU, double QL, double Usl, double Lsl)
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{
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double cp = 0;
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cp = (Usl - Lsl) / (QU - QL);
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return cp;
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}
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/// <summary>
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/// 工序能力指数
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/// </summary>
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/// <param name="[] X">被分析数据组</param>
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/// <param name="Usl">理论上限</param>
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/// <param name="Lsl">理论下限</param>
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/// <returns></returns>
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public static double Cpk(double[] X, double Usl, double Lsl)
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{
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double cpk;
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double cpkU;
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double cpkL;
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double QU;
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double QL;
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double cp = 0;
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//均方差
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double s;
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//均值
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double x;
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x = AVERAGE(X);
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QU_QL(X, out QU, out QL);
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cp = (Usl - Lsl) / (QU - QL);
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cpkU = (Usl - x) / (QU - x);
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cpkL = (Lsl - x) / (QL - x);
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cpk = Math.Min(cpkU, cpkL);
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return cpk;
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}
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/// <summary>
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/// 工序能力指数
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/// </summary>
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/// <param name="x">平均值</param>
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/// <param name="QU">百分比上限</param>
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/// <param name="QL">百分比下限</param>
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/// <param name="Usl">理论上限</param>
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/// <param name="Lsl">理论下限</param>
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/// <returns></returns>
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public static double Cpk(double x, double QU, double QL, double Usl, double Lsl)
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{
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double cpk;
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double cpkU;
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double cpkL;
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double cp = 0;
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cp = Cp(QU, QL, Usl, Lsl);
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cpkU = (Usl - x) / (QU - x);
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cpkL = (x - Lsl) / (x - QL);
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cpk = Math.Min(cpkU, cpkL);
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return cpk;
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}
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/// <summary>
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/// 计算正态分布的x坐标，y坐标
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/// </summary>
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/// <param name="s">均方差</param>
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/// <param name="x">平均值</param>
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public static void sxy(double s, double x, out double[] sx, out double[] sy)
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{
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double S2;
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double X2;
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X2 = x;
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S2 = s;
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sx = new double[11];
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sy = new double[11];
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double tempmaxdouble = 1.0 / (s * Math.Sqrt(2.0 * Math.PI));
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sx[0] = X2 - 4.0 * S2;
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sx[1] = X2 - 3.0 * S2;
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sx[2] = X2 - 2.0 * S2;
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sx[3] = X2 - 1.0 * S2;
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sx[4] = X2 - 0.5 * S2;
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sx[5] = X2;
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sx[6] = X2 + 0.5 * S2;
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sx[7] = X2 + 1.0 * S2;
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sx[8] = X2 + 2.0 * S2;
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sx[9] = X2 + 3.0 * S2;
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sx[10] = X2 + 4.0 * S2;
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sy[0] = tempmaxdouble * Math.Exp(-16.0F / 2.0F);
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sy[1] = tempmaxdouble * Math.Exp(-9.0F / 2.0F);
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sy[2] = tempmaxdouble * Math.Exp(-4.0F / 2.0F);
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sy[3] = tempmaxdouble * Math.Exp(-1.0F / 2.0F);
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sy[4] = tempmaxdouble * Math.Exp(-0.25F / 2.0F);
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sy[5] = tempmaxdouble;
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sy[6] = tempmaxdouble * Math.Exp(-0.25F / 2.0F);
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sy[7] = tempmaxdouble * Math.Exp(-1.0F / 2.0F);
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sy[8] = tempmaxdouble * Math.Exp(-4.0F / 2.0F);
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sy[9] = tempmaxdouble * Math.Exp(-9.0F / 2.0F);
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sy[10] = tempmaxdouble * Math.Exp(-16.0F / 2.0F);
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double sy_sum = 0;
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for (int i = 0; i < sy.Length; i++)
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{
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sy_sum = sy_sum + sy[i];
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}
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for (int i = 0; i < sy.Length; i++)
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{
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sy[i] = sy[i] / sy_sum;
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}
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}
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/// <summary>
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/// 根据查询的数据，获得理论上限，理论下限
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/// </summary>
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/// <param name="dl"></param>
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/// <param name="Usl">理论上限</param>
|
||
/// <param name="Lsl">理论下限</param>
|
||
public static void GetUslLsl(DataTable dt, out double Usl, out double Lsl)
|
||
{
|
||
|
||
Usl = 0;
|
||
Lsl = 0;
|
||
if (dt != null)
|
||
{
|
||
if (dt.Rows.Count > 0)
|
||
{
|
||
try
|
||
{
|
||
//Usl = Convert.ToDouble(dt.Rows[0]["上限值"]);
|
||
//Lsl = Convert.ToDouble(dt.Rows[0]["下限值"]);
|
||
Usl = 100;
|
||
Lsl = 100;
|
||
}
|
||
catch
|
||
{
|
||
Usl = 0;
|
||
Lsl = 0;
|
||
}
|
||
}
|
||
}
|
||
}
|
||
|
||
}
|
||
|
||
/// <summary>
|
||
/// 测试数据
|
||
/// </summary>
|
||
public class Spc_Data_TestData
|
||
{
|
||
/// <summary>
|
||
/// 子组大小。单个子组观测值的个数
|
||
/// </summary>
|
||
static public int n = 5;
|
||
/// <summary>
|
||
/// 子组个数
|
||
/// </summary>
|
||
static public int k = 30;
|
||
/// <summary>
|
||
/// 特征值上限
|
||
/// </summary>
|
||
static public double USL = 1.7;
|
||
/// <summary>
|
||
/// 特征值下限
|
||
/// </summary>
|
||
static public double LSL = 1.5;
|
||
/// <summary>
|
||
/// 特征值上限
|
||
/// </summary>
|
||
static public double USL1 = 1.0;
|
||
/// <summary>
|
||
/// 特征值下限
|
||
/// </summary>
|
||
static public double LSL1 = 0.9;
|
||
|
||
/// <summary>
|
||
/// 特征值上限
|
||
/// </summary>
|
||
static public double USL2 = 1.15;
|
||
/// <summary>
|
||
/// 特征值下限
|
||
/// </summary>
|
||
static public double LSL2 = 1.10;
|
||
|
||
|
||
/// <summary>
|
||
/// 特征值上限
|
||
/// </summary>
|
||
static public double USL3 = 129.01;
|
||
/// <summary>
|
||
/// 特征值下限
|
||
/// </summary>
|
||
static public double LSL3 = 129;
|
||
static public double[] X3 =
|
||
{
|
||
129.006,129.006,129.006,129.005,129.006,
|
||
129.006,129.005,129.005,129.005,129.005,
|
||
129.005,129.006,129.007,129.006,129.005,
|
||
129.005,129.005,129.006,129.005,129.006,
|
||
129.006,129.006,129.007,129.006,129.005,
|
||
129.007,129.006,129.005,129.005,129.006,
|
||
129.006,129.007,129.005,129.005,129.005,
|
||
129.007,129.006,129.006,129.007,129.005,
|
||
129.007,129.005,129.005,129.006,129.007,
|
||
129.006,129.007,129.005,129.005,129.006
|
||
|
||
};
|
||
static public double[] X2 =
|
||
{
|
||
1.141,1.130,1.131,1.127,1.137,
|
||
1.140,1.137,1.130,1.135,1.125,
|
||
1.133,1.133,1.131,1.128,1.127,
|
||
1.122,1.131,1.131,1.125,1.123,
|
||
1.131,1.128,1.117,1.133,1.136,
|
||
1.123,1.128,1.135,1.127,1.130,
|
||
1.138,1.126,1.130,1.133,1.133,
|
||
1.130,1.127,1.128,1.127,1.128,
|
||
1.122,1.142,1.128,1.135,1.133,
|
||
1.142,1.127,1.133,1.135,1.135
|
||
};
|
||
static public double[] X1 =
|
||
{ 0.941,0.942,0.947,0.939,0.942,0.943,
|
||
0.942,0.950,0.943,0.948,0.941,0.953,
|
||
0.944,0.943,0.941,0.933,0.942,0.941,
|
||
0.942,0.942,0.942,0.947,0.938,0.941,
|
||
0.947,0.943,0.943,0.948,0.938,0.946,
|
||
0.946,0.943,0.945,0.946,0.942,0.951,
|
||
0.951,0.938,0.938,0.952,0.947,0.945,
|
||
0.951,0.948,0.946,0.947,0.947,0.947,
|
||
0.953,0.956
|
||
};
|
||
static public double[] X =
|
||
{ 1.55,1.58,1.61,1.60,1.60,//1
|
||
1.58,1.63,1.63,1.62,1.63,//2
|
||
1.62,1.63,1.62,1.59,1.58,//3
|
||
1.58,1.60,1.61,1.62,1.63,//4
|
||
1.58,1.64,1.63,1.62,1.62,//5
|
||
1.62,1.62,1.63,1.61,1.57,//6
|
||
1.64,1.62,1.61,1.60,1.58,//7
|
||
1.57,1.59,1.61,1.62,1.63,//8
|
||
1.58,1.61,1.60,1.62,1.63,//9
|
||
1.60,1.61,1.64,1.64,1.63,//10
|
||
1.58,1.60,1.62,1.63,1.65,//11
|
||
1.62,1.58,1.59,1.57,1.58,//12
|
||
1.57,1.57,1.58,1.59,1.64,//13
|
||
1.61,1.64,1.62,1.60,1.59,//14
|
||
1.65,1.62,1.62,1.60,1.58,//15
|
||
1.57,1.59,1.57,1.59,1.62,//16
|
||
1.56,1.57,1.57,1.61,1.62,//17
|
||
1.56,1.58,1.59,1.60,1.62,//18
|
||
1.58,1.60,1.60,1.62,1.63,//19
|
||
1.58,1.59,1.60,1.63,1.62,//20
|
||
1.58,1.59,1.62,1.63,1.64,//21
|
||
1.58,1.59,1.62,1.63,1.61,//22
|
||
1.58,1.59,1.60,1.61,1.63,//23
|
||
1.57,1.59,1.61,1.61,1.62,//24
|
||
1.58,1.58,1.60,1.61,1.63,//25
|
||
1.62,1.58,1.58,1.58,1.57,//26
|
||
1.63,1.59,1.57,1.58,1.57,//27
|
||
1.58,1.62,1.61,1.63,1.61,//28
|
||
1.58,1.57,1.59,1.60,1.62,//29
|
||
1.62,1.60,1.60,1.57,1.57 //30
|
||
};
|
||
|
||
}
|