Require:

$c$, clipping parameter, $m_t$, batch size. ${\beta }_1{\beta }_2$, hyperparameters parameters; $n_{\mathrm{critic} }$ amount of generator iterations per critic iteration.

1. while $\theta$ has not joined do

2. for $t=0,\dots ,n_{\mathrm{cricic} }$ do 3; for $i=1, 2, 3,\dots ,m$ do

3. Sample ${\left\{x^{\left(i\right)}\right\}}_{i=1}^m-P_r$.

4. Sample ${\left\{2^{\left(i\right)}\right\}}_{i=1}^{in}-p\left(z\right)$.

5. a random number $\epsilon \sim U\left[0,1\right]$.

6.  $\stackrel{\leftharpoonup }{x}\leftarrow G_{\theta }\left(z\right)$

7.  $\stackrel{`}{t}\leftarrow \epsilon x+\left(1-c\right)\stackrel{\leftharpoonup }{x}$

8.  $L^{\left(i\right)}\leftarrow D_w\left(\overrightarrow{x}\right)-D_w\left(x\right)+\lambda {\left(\Vert {\nabla }_{\stackrel{`}{x}}{D}_w{\left(\stackrel{`}{P}\right)\Vert }_2-1\right)}^2$

9.  $g_w\leftarrow {\mathrm{\nabla }}_w\left[\frac{1}{w}\sum _{i=1}^m{f}_w\left(x^{(i)}\right)-\frac{1}{m}\sum _{i=1}^w{f}_w\left(g_e\left(z^{(i)}\right)\right)\right]$

10.  $w\leftarrow w+\alpha \cdot \mathrm{RMSProp}\left(w,8w\right)$

11.  $w\leftarrow \mathrm{clip}\left(w,-c,c\right)$

12. end for

13. end for

14.  $w\leftarrow \mathrm{Adam}\left({\mathrm{\nabla }}_w\frac{1}{w}\sum _{i=1}^m{L}^{(i)},w,\alpha ,{\beta }_1,{\beta }_2\right)$

15. end for

16. Sample ${\left\{z^{\left(i\right)}\right\}}_{i=1}^m\sim p\left(z\right)$.

17.  $g_{\theta }\leftarrow -{\mathrm{\nabla }}_{\theta }\frac{1}{m}\sum _{i=1}^{m^1}{f}_w\left(g_{\theta }\left(z^{(i)}\right)\right)$

18.  ${\theta }^{{}^{\prime }}\leftarrow \theta -\alpha \cdot \mathrm{RMSProp}\left(\theta ,g_{\theta }\right)$

19.  $\theta \leftarrow \mathrm{Adam}\left({\mathrm{\nabla }}_{\theta }\frac{1}{m}\sum _{i=1}^{\mathrm{m}}-D_{\omega }\left(G_{\theta }(z)\right),{\theta }^{\mathrm{\prime }};\alpha ,{\beta }_1,{\beta }_2\right)$

20. end while