Hi Javier,

Thanks! That helps:

(echo 150717.96 489970.61 & echo 150857.90 509969.45) | cct -d 2 -z 0 
+proj=horner +deg=3 +fwd_origin=0,0 
+fwd_u=+120025.8705,+0.999986846,-0.0250515e-8,+0.1471965e-14,+0.006918172,-0.0860518e-8,-0.0398590e-14,+0.0011249e-8,+0.4556545e-14,+0.1991105e-14
 
+fwd_v=+390181.7849,+0.999993024,-0.0338879e-8,+0.1184845e-14,-0.006907254,-0.0492600e-8,-0.1945916e-14,+0.0222878e-8,+0.9244571e-14,-0.1091684e-14
 +inv_tolerance=0.001 +inv +range=600000
     30000.00      100000.00          0.00           inf
     30000.00      120000.00          0.00           inf

I did try specifying the range before, but I did not try such a large value. 
Due to the word “radius” in the description at 
https://proj.org/en/stable/operations/transformations/horner.html#cmdoption-arg-range
 I expected the range value to specify a circle instead of a box. More 
importantly, I expected it to apply on the input coordinates in the forward 
transformation and the output coordinates in the inverse transformation. I 
think the latter would make more sense, as that would mean one can use the same 
+range for the forward and inverse transformation. Therefore I would like to 
suggest a change in the code instead of only making the documentation more 
comprehensive.

Jochem


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