89 lines
2.0 KiB
Go
89 lines
2.0 KiB
Go
// ErrorEvaluation
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/*
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------------------------------------------------------
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作者 : Black Ghost
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日期 : 2018-12-23
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版本 : 0.0.0
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------------------------------------------------------
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误差估计方法
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理论：
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0 最大误差：
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E = max(Abs(f(xk)-y(xk)))
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1 平均误差：
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1 N
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E = --- Sum (Abs(f(xk)-y(xk)))
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N k=1
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2 均方根误差：
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1
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E = Sqrt(--- Sum (f(xk)-y(xk))^2)
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N
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参考：John H. Mathews and Kurtis D. Fink. Numerical
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methods using MATLAB, 4th ed. Pearson
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Education, 2004. pp. 196
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------------------------------------------------------
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输入 :
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FY 数据对，nx2，f(xk)---y(xk)
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输出 :
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sol 误差结果
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------------------------------------------------------
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*/
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package goNum
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import (
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"math"
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)
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// MaxError 最大误差
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func MaxError(FY Matrix) float64 {
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//最大误差
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//判断FY的维数
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if FY.Columns < 2 {
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panic("Error in goNum.MaxError: FY is at least 2 columns")
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}
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errs := ZeroMatrix(FY.Rows, 1)
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var maxE float64
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for i := 0; i < FY.Rows; i++ {
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errs.Data[i] = math.Abs(FY.GetFromMatrix(i, 1) - FY.GetFromMatrix(i, 0))
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}
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maxE, _, _ = Max(errs.Data)
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return maxE
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}
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// MeanError 平均误差
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func MeanError(FY Matrix) float64 {
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//平均误差
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//判断FY的维数
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if FY.Columns < 2 {
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panic("Error in goNum.MaxError: FY is at least 2 columns")
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}
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var meanE float64
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for i := 0; i < FY.Rows; i++ {
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meanE += math.Abs(FY.GetFromMatrix(i, 1) - FY.GetFromMatrix(i, 0))
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}
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meanE = meanE / float64(FY.Rows)
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return meanE
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}
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// RMSError 均方根误差
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func RMSError(FY Matrix) float64 {
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//均方根误差
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//判断FY的维数
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if FY.Columns < 2 {
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panic("Error in goNum.MaxError: FY is at least 2 columns")
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}
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var rmsE float64
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for i := 0; i < FY.Rows; i++ {
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temp0 := FY.GetFromMatrix(i, 1) - FY.GetFromMatrix(i, 0)
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rmsE += temp0 * temp0
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}
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rmsE = math.Sqrt(rmsE / float64(FY.Rows))
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return rmsE
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}
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