Formula for generating Trigen-distributed random variates

Is there any formula for finding random Trigen distributed random variate from a random variate drawn from the uniform distribution in the interval (0, 1) like the formula for Triangular distribution?

I have inputs minimum, likely, maximum, lower % and upper %. How to find the distribution from this? Do we need to find the extended minimum and maximum values first and then generate the triangular distribution with extended minimum, likely and extended maximum values to find the Trigen distribution?

I working in java.

Thanks in advance