mapproject -C gives low precision for large scales
|Target version:||Candidate for next bugfix release|
Since mapproject uses the general GMT plot-centric projections we always subtract the map projection origin coordinate and then apply a scale. However, with -C we then proceed to undo the scaling and origin shift. When the origin is huge (i.e., using -Rg with -F and 1:1 scale) there are cancellations that severely limit the precision of the output. The solution is obviously not to do the scale/unscale operation in the first place but this is coded deep in geo_to_xy. Solution is to introduce a gmt_to_xy_noshift for mapproject and grdproject so we can avoid the cancellations.
#1 Updated by Paul almost 2 years ago
- Status changed from New to Resolved
Fixed in mapproject in r14300 along the lines discussed above. Given t.txt:
3.05625 43 3.06125 43.006611
Before the fix these coordinates gave identical x,y due to subtraction then addition of two very large numbers:
gmt mapproject -Jl3.0/46.5/44.0/49.0/1:1 -Rg -F -S -C700000/6600000 t.txt 704993.84320000 6211312.53760000 704993.84320000 6211312.53760000
After the fix we get:
gmt mapproject -Jl3.0/46.5/44.0/49.0/1:1 -Rg -F -S -C700000/6600000 t.txt 704590.97418418 6211189.56123913 704724.47545520 6211557.25214706
Thanks to Romain for pointing out the problem in http://gmt.soest.hawaii.edu/boards/1/topics/2099. The problem only affects mapproject -C commands.