package utils import ( "fmt" "github.com/gonum/stat" "github.com/shopspring/decimal" "math" "strings" ) // Series is a container for a series of data type Series []Coordinate // Coordinate holds the data in a series type Coordinate struct { X, Y float64 } // GetLinearResult 生成线性方程式 func GetLinearResult(s []Coordinate) (gradient, intercept float64) { if len(s) <= 1 { return } // Placeholder for the math to be done var sum [5]float64 // Loop over data keeping index in place i := 0 for ; i < len(s); i++ { sum[0] += s[i].X sum[1] += s[i].Y sum[2] += s[i].X * s[i].X sum[3] += s[i].X * s[i].Y sum[4] += s[i].Y * s[i].Y } // Find gradient and intercept f := float64(i) gradient = (f*sum[3] - sum[0]*sum[1]) / (f*sum[2] - sum[0]*sum[0]) intercept = (sum[1] / f) - (gradient * sum[0] / f) //fmt.Println("gradient:", gradient, ";intercept:", intercept) // Create the new regression series //for j := 0; j < len(s); j++ { // regressions = append(regressions, Coordinate{ // X: s[j].X, // Y: s[j].X*gradient + intercept, // }) //} return } // CalculateCorrelationByIntArr 相关性计算 // 计算步骤 // 1.分别计算两个序列的平均值Mx和My // 2.分别计算两个序列的标准偏差SDx和SDy => √{1/(n-1)*SUM[(Xi-Mx)²]} // 3.计算相关系数 => SUM[(Xi-Mx)*(Yi-My)]/[(N-1)(SDx*SDy)] func CalculateCorrelationByIntArr(xArr, yArr []float64) (ratio float64) { // 序列元素数要一致 xLen := float64(len(xArr)) yLen := float64(len(yArr)) if xLen == 0 || xLen != yLen { return } // 计算Mx和My var Xa, Ya float64 for i := range xArr { Xa += xArr[i] } Mx := Xa / xLen for i := range yArr { Ya += yArr[i] } My := Ya / yLen // 计算标准偏差SDx和SDy var Xb, Yb, SDx, SDy float64 for i := range xArr { Xb += (xArr[i] - Mx) * (xArr[i] - Mx) } SDx = math.Sqrt(1 / (xLen - 1) * Xb) for i := range yArr { Yb += (yArr[i] - My) * (yArr[i] - My) } SDy = math.Sqrt(1 / (yLen - 1) * Yb) // 计算相关系数 var Nume, Deno float64 for i := 0; i < int(xLen); i++ { Nume += (xArr[i] - Mx) * (yArr[i] - My) } Deno = (xLen - 1) * (SDx * SDy) ratio = Nume / Deno if math.IsNaN(ratio) { ratio = 0 } return } // ComputeCorrelation 通过一组数据获取相关系数R // 计算步骤 // 1.分别计算两个序列的平均值Mx和My // 2.分别计算两个序列的标准偏差SDx和SDy => √{1/(n-1)*SUM[(Xi-Mx)²]} // 3.计算相关系数 => SUM[(Xi-Mx)*(Yi-My)]/[(N-1)(SDx*SDy)] func ComputeCorrelation(sList []Coordinate) (r float64) { var xBar, yBar float64 lenSList := len(sList) // 必须两组数据及两组以上的数据才能计算 if lenSList < 2 { return } decimalX := decimal.NewFromFloat(0) decimalY := decimal.NewFromFloat(0) // 计算两组数据X、Y的平均值 for _, coordinate := range sList { decimalX = decimalX.Add(decimal.NewFromFloat(coordinate.X)) decimalY = decimalY.Add(decimal.NewFromFloat(coordinate.Y)) } xBar, _ = decimalX.Div(decimal.NewFromInt(int64(lenSList))).Round(4).Float64() yBar, _ = decimalY.Div(decimal.NewFromInt(int64(lenSList))).Round(4).Float64() //fmt.Println(xBar) //fmt.Println(yBar) varXDeci := decimal.NewFromFloat(0) varYDeci := decimal.NewFromFloat(0) ssrDeci := decimal.NewFromFloat(0) for _, coordinate := range sList { // 分别计算X、Y的实际数据与平均值的差值 diffXXbarDeci := decimal.NewFromFloat(coordinate.X).Sub(decimal.NewFromFloat(xBar)) diffYYbarDeci := decimal.NewFromFloat(coordinate.Y).Sub(decimal.NewFromFloat(yBar)) ssrDeci = ssrDeci.Add(diffXXbarDeci.Mul(diffYYbarDeci)) //fmt.Println("i:", i, ";diffXXbar:", diffXXbarDeci.String(), ";diffYYbar:", diffYYbarDeci.String(), ";ssr:", ssrDeci.String()) varXDeci = varXDeci.Add(diffXXbarDeci.Mul(diffXXbarDeci)) varYDeci = varYDeci.Add(diffYYbarDeci.Mul(diffYYbarDeci)) //varY += diffYYbar ** 2 } //当输入的两个数组完全相同时,计算相关系数会导致除以零的操作,从而产生 NaN(Not a Number)的结果。为了避免这种情况,可以在计算相关系数之前先进行一个判断,如果两个数组的标准差为零,则相关系数应为1 if varXDeci.IsZero() && varYDeci.IsZero() { r = 1 return } sqrtVal, _ := varXDeci.Mul(varYDeci).Round(4).Float64() //fmt.Println("sqrtVal:", sqrtVal) sst := math.Sqrt(sqrtVal) // 平方根 //fmt.Println("sst:", sst) // 如果计算出来的平方根是0,那么就直接返回,因为0不能作为除数 if sst == 0 { return } r, _ = ssrDeci.Div(decimal.NewFromFloat(sst)).Round(4).Float64() return } // CalculationDecisive 通过一组数据获取决定系数R2 func CalculationDecisive(sList []Coordinate) (r2 float64) { r := ComputeCorrelation(sList) r2, _ = decimal.NewFromFloat(r).Mul(decimal.NewFromFloat(r)).Round(4).Float64() return } // CalculateStandardDeviation 计算标准差 func CalculateStandardDeviation(data []float64) float64 { return stat.StdDev(data, nil) } func ReplaceFormula(valArr map[string]float64, formulaStr string) string { funMap := getFormulaMap() for k, v := range funMap { formulaStr = strings.Replace(formulaStr, k, v, -1) } replaceCount := 0 for tag, val := range valArr { dvStr := fmt.Sprintf("%v", val) formulaStr = strings.Replace(formulaStr, tag, dvStr, -1) replaceCount++ } for k, v := range funMap { formulaStr = strings.Replace(formulaStr, v, k, -1) } return formulaStr } // CellPosition // @Description: 单元格位置 type CellPosition struct { Tag string Row int Value float64 } // ReplaceFormulaByCellList // @Description: 根据单元格列表替换 // @author: Roc // @datetime2023-11-14 16:16:12 // @param cellList []CellPosition // @param formulaStr string // @return string func ReplaceFormulaByCellList(cellList []CellPosition, formulaStr string) string { funMap := getFormulaMap() for k, v := range funMap { formulaStr = strings.Replace(formulaStr, k, v, -1) } replaceCount := 0 for _, cell := range cellList { dvStr := fmt.Sprintf("%v", cell.Value) formulaStr = strings.Replace(formulaStr, fmt.Sprint(cell.Tag, cell.Row), dvStr, -1) replaceCount++ } for k, v := range funMap { formulaStr = strings.Replace(formulaStr, v, k, -1) } return formulaStr } func getFormulaMap() map[string]string { funMap := make(map[string]string) funMap["MAX"] = "[@@]" funMap["MIN"] = "[@!]" funMap["ABS"] = "[@#]" funMap["CEIL"] = "[@$]" funMap["COS"] = "[@%]" funMap["FLOOR"] = "[@^]" funMap["MOD"] = "[@&]" funMap["POW"] = "[@*]" funMap["ROUND"] = "[@(]" return funMap }