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Clarified the logic in filtreg by creating a procedure filtreg_hemisph. It was terrible with a loop on hemispheres and tests on hemisphere inside the loop, plus maddening indirections on latitude bounds, plus repeated code. Went from 126 lines to much clearer 74 + 32 = 106 lines. In module inifilr_m, finally made the arrays matrice[uv][ns], matrinv[ns] dynamic (following LMDZ). Changed the lower bound of matriceun and matrinvn in the 3rd dimension: 2 instead of 1, the index 1 was not defined (nor used). In module inifilr_m, changed the bounds of matriceus and matrinvs in the 3rd dimension: jfiltsu:jjm instead of 1:jjm - jfiltsu + 1. Changed the bounds of matricevs in the 3rd dimension: jfiltsv:jjm instead of 1:jjm - jfiltsv + 1. It is a little simpler and clearer this way in procedure inifilr.
Sources inside, compilation outside.
Removed procedure jacobi, which was a copy of the file from Numerical Recipes in Fortran 77. Refer to the Numer_Rec_95 library instead. There was a strange line in procedure coordij: j cannot be equal to 0 after the loop on j.
Renamed procedure fxhyp_loop_ik to invert_zoom_x. Bug fix. clat is now in rad so there should be no conversion in fyhyp. (This bug had an effect only if clat was /= 0.) No need for heavyside to be double precision. Removed variable tnom of module iniadvtrac_m. Was redundant with tname.
Moved some processing from fxhyp_loop_ik to fxhyp. Now fxhyp_loop_ik does not necessarily give longitudes near [-pi, pi]. In fxhyp, we look in rlonm025 whether we need to move the array toward [-pi, pi]. If so, we apply the same move to all grids: rlonm025, rlonv, rlonp025, rlonu and the corresponding derivatives. The move itself is done by the new procedure principal_cshift. This revision makes the logic clearer. (For example, we do not have a saved variable is2 in fxhyp_loop_ik any longer and we remove a test on ik in fxhyp_loop_ik.) Fixed a bad error message in fxhyp_loop_ik: talked about rlonu when xvrai is not always rlonu.
Added some test programs. In fxhyp_loop_ik, changed precision from 1e-3 to 1e-6. Reset initial value of xo1 to first guess of xi instead of final value of xi for previous i (better logic).
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