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inversion method
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(fixes #3011)
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This fixes the current forward implementation of Peirce Quincuncial proj to correctly flip/reflect out the southern hemisphere to four triangles, and rotate entire result to a square or diamond. (It there resolves the issues identified with pull request https://github.com/OSGeo/PROJ/pull/2230 , where southern hemisphere was wrongly projected over northern, and reverses the restriction to northern hemisphere introduced there). It also adds additional lateral projection of the hemispheres.
- This PR adds an optional parameter `+type` which allows selection of projection. The `+type=square` and `+type=diamond` types match in principle ESRI's twin implementations of square and diamond PQ projs. The **default** if not specified is `+type=diamond`.
- The previous behaviour restricted to the northern hemisphere can be reproduced using the `+type=nhemisphere`, though this is an edge case only.
- An additional `+type=horizontal` and `+type=vertical` rectangular lateral versions have been added that place each hemisphere side-by-side. This is primarily to allow creation of projections such as Greiger Triptychial, which also require the additional optional params `scrollx` or `scrolly` in order to shift parts of the projection from one side of the map to the other.
- Additional documentation has been added to proj description, including quoting the usual meridian used in common usage of projection, and images showing the different types.
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Fixes #2482
And also add proj_context_errno_string()
Revise gie 'expect failure errno XXXX' strings
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Gone are pj_malloc, pj_calloc, pj_dalloc and pj_dealloc. Their primary
function as API memory functions in proj_api.h is no longer there and
the other use as a workaround for old errno problems is no longer valid
either.
Replaced with malloc and free across the codebase.
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- Move the generic method initiated from adams_ws2 to a
pj_generic_inverse_2d() method
- Use it in adams_ws2
- Use it in wink2
Fixes https://github.com/qgis/QGIS/issues/35512
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Otherwise it returns junk (negative latitudes are mapped to
the same location as positive latitudes)
I'm a bit confused by PROJ peirce_q implementation. Looking at
the projection of the world, it looks like this matches the diamond
formulation of the right map shown at
https://desktop.arcgis.com/en/arcmap/latest/map/projections/peirce-quincuncial.htm,
but limited to the inner square of this diamond (which corresponds
to the northern hemisphere). We lack the 4 triangles on left, top,
right and bottom for the southern hemisphere. Furthermore, this
formulation of peirce_q does not seem to have the quincuncial
property of the square formulation (left images of the above ESRI
doc), or the one at https://en.wikipedia.org/wiki/Peirce_quincuncial_projection ...
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This commit adds five new projections to PROJ:
adams_hemi: Adams Hemisphere in a Square
adams_wsI: Adams World in a Square I
adams_wsII: Adams World in a Square II
guyou: Guyou
peirce_q: Pierce Quincuncial
The code originates from Gerry Evendens libproject and has been adapted
to work with modern PROJ. To ensure that the modified code works as
intended extensive test data has been created using libproject and
sproj so that no errors occured when porting from libproject to PROJ.
The test data is wrapped in a gie files. All test cases reproduce
results from libproject at the mm level.
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