package utils import ( "fmt" "github.com/gonum/stat" "github.com/shopspring/decimal" "math" "strings" ) type Series []Coordinate type Coordinate struct { X, Y float64 } func GetLinearResult(s []Coordinate) (gradient, intercept float64) { if len(s) <= 1 { return } var sum [5]float64 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 } 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) return } func CalculateCorrelationByIntArr(xArr, yArr []float64) (ratio float64) { xLen := float64(len(xArr)) yLen := float64(len(yArr)) if xLen == 0 || xLen != yLen { return } var Xa, Ya float64 for i := range xArr { Xa += xArr[i] } Mx := Xa / xLen for i := range yArr { Ya += yArr[i] } My := Ya / yLen 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) 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 } func ComputeCorrelation(sList []Coordinate) (r float64) { var xBar, yBar float64 lenSList := len(sList) if lenSList < 2 { return } decimalX := decimal.NewFromFloat(0) decimalY := decimal.NewFromFloat(0) 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() varXDeci := decimal.NewFromFloat(0) varYDeci := decimal.NewFromFloat(0) ssrDeci := decimal.NewFromFloat(0) for _, coordinate := range sList { diffXXbarDeci := decimal.NewFromFloat(coordinate.X).Sub(decimal.NewFromFloat(xBar)) diffYYbarDeci := decimal.NewFromFloat(coordinate.Y).Sub(decimal.NewFromFloat(yBar)) ssrDeci = ssrDeci.Add(diffXXbarDeci.Mul(diffYYbarDeci)) varXDeci = varXDeci.Add(diffXXbarDeci.Mul(diffXXbarDeci)) varYDeci = varYDeci.Add(diffYYbarDeci.Mul(diffYYbarDeci)) } if varXDeci.IsZero() && varYDeci.IsZero() { r = 1 return } sqrtVal, _ := varXDeci.Mul(varYDeci).Round(4).Float64() sst := math.Sqrt(sqrtVal) // 平方根 if sst == 0 { return } r, _ = ssrDeci.Div(decimal.NewFromFloat(sst)).Round(4).Float64() return } func CalculationDecisive(sList []Coordinate) (r2 float64) { r := ComputeCorrelation(sList) r2, _ = decimal.NewFromFloat(r).Mul(decimal.NewFromFloat(r)).Round(4).Float64() return } 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 } type CellPosition struct { Tag string Row int Value float64 } 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 }