hāl
The modifier hāl refers to the front of something. This is the same root as sahāla. So, rā NP hāl is to the front of NP and rū NP hāl is from the front of NP.
rājahāl
rājahāl is rā NP hāl without a specified location, and so means ‘to the front’.
rūjahāl
Likewise rūjahāl is rū NP hāl without a specified location, and so means ‘from the front’.