Algorithm 7 Restart (Fibonacci projection)

1:function CreateFibonacciPopulation($P,E,E_{\mathrm{best}},PS,FM$) 2:    if $P=\left[\right]$ then 3:        $P_{\mathrm{new}}\leftarrow \left\{E_{\mathrm{best}}\right\}$ 4:        while $|P_{\mathrm{new}}|<PS$ do 5:           $E_{random}\sim \mathrm{Uniform}\left(E\right)$. 6:           $P_{\mathrm{new}}^{\prime }=P_{\mathrm{new}}\cup \left\{E_{random}\right\}$. 7:           $x\leftarrow 0$ 8:           while $x<\mathtt{FM}$ do 9:               $C_{\mathrm{random}}\leftarrow$GetFibonacciChromosome($C_{\mathrm{random}}$) 10:               $C_{\mathrm{new}}\leftarrow C_{\mathrm{random}}+C_{\mathrm{best}}$                                                                ▹ Vector addition 11:               $P_{\mathrm{new}}^{\prime }\leftarrow P_{\mathrm{new}}\cup \left\{C_{\mathrm{new}}\right\}$ 12:               if $|P_{\mathrm{new}}|\ge PS$ then 13:                   break 14:               end if 15:               $x\leftarrow x+1$ 16:           end while 17:        end while 18:        return $P_{\mathrm{new}}$ 19:    end if 20:end function