Thanks for your advice, and I have a math question. I know how to transfer a sampled value of a specific normal distribution to a specifc range. 1.using tanh to  bound the sampled_value in range [-1,1], 2. use the formula  here 3 to transfer it to specific range. But what about bounding the log_prob value of the sampled value to specific range?      The formula you referred of SAC, is only suitable when the target range is in [-1,1].