函数

维数

取值范围

理论值

$\text{TF}1\left(x\right)={\displaystyle \sum _{i=1}^n{x}_i^2}$

10

[−100,100]

0

$\text{TF}2\left(x\right)={\displaystyle \sum _{i=1}^n\left|x_i\right|}+\prod _{i=1}^n\left|x_i\right|$

10

[−10,10]

0

$\text{TF}3\left(x\right)={{\displaystyle \sum _{i=1}^n\left({\displaystyle \sum _{j-1}^i{x}_j}\right)}}^2$

10

[−100,100]

0

$\text{TF}4\left(x\right)=\underset{i}{\text{max}}\{\left|x_i\right|,1\le i\le n\}$

10

[−100,100]

0

$\text{TF5}\left(x\right)=-20\text{exp}\left(-0.2\sqrt{\frac{1}{n}{\displaystyle \sum _{i=1}^n{x}_i^2}}\right)-\exp \left(\frac{1}{n}{\displaystyle \sum _{i=1}^n\cos \left(2\text{π}{x}_i\right)}\right)+20+e$

10

[−32,32]

0

$\begin{array}{l}\text{TF6}\left(x\right)=0.1\{{\sin }^2\left(3\text{π}{x}_1\right)+{\displaystyle \sum _{i=1}^n{\left(x_i-1\right)}^2\left[1+{\sin }^2\left(3\text{π}{x}_1+1\right)\right]}\\ +{\left(x_n-1\right)}^2\left[1+{\sin }^2\left(2\text{π}{x}_n\right)\right]+{\displaystyle \sum _{i=1}^{n}u\left(x_i,10,100,4\right)}\}\end{array}$

10

[−50,50]

0