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Test 5101 (part 2), Transverse Mercator, v2-0_2011-06-28, recommended JHS formula
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<gie>
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operation +proj=pipeline
+step +init=epsg:4326 +inv
+step +init=epsg:32631
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tolerance 0.03 m
accept -2.0 80.0
expect 403186.945 8885748.708
tolerance 0.03 m
accept -2.0 60.0
expect 221288.77 6661953.041
tolerance 0.03 m
accept -2.0 40.0
expect 73106.698 4439746.917
tolerance 0.03 m
accept -2.0 20.0
expect -23538.687 2219308.238
tolerance 0.03 m
accept -2.0 0.0
expect -57087.12 0.0
tolerance 0.03 m
accept -2.0 -20.0
expect -23538.687 -2219308.238
tolerance 0.03 m
accept -2.0 -40.0
expect 73106.698 -4439746.917
tolerance 0.03 m
accept -2.0 -60.0
expect 221288.77 -6661953.041
tolerance 0.03 m
accept -2.0 -80.0
expect 403186.945 -8885748.708
tolerance 0.03 m
accept -5.0 60.0
expect 54506.435 6678411.623
tolerance 0.03 m
accept -4.0 60.0
expect 110043.299 6672079.494
tolerance 0.03 m
accept -3.0 60.0
expect 165640.332 6666593.572
tolerance 0.03 m
accept -2.0 60.0
expect 221288.77 6661953.041
tolerance 0.03 m
accept -1.0 60.0
expect 276979.926 6658157.202
tolerance 0.03 m
accept 0.0 60.0
expect 332705.179 6655205.484
tolerance 0.03 m
accept 1.0 60.0
expect 388455.958 6653097.435
tolerance 0.03 m
accept 2.0 60.0
expect 444223.733 6651832.735
tolerance 0.03 m
accept 3.0 60.0
expect 500000.0 6651411.19
tolerance 0.03 m
accept 4.0 60.0
expect 555776.267 6651832.735
tolerance 0.03 m
accept 5.0 60.0
expect 611544.042 6653097.435
tolerance 0.03 m
accept 6.0 60.0
expect 667294.821 6655205.484
tolerance 0.03 m
accept 7.0 60.0
expect 723020.074 6658157.202
tolerance 0.03 m
accept 8.0 60.0
expect 778711.23 6661953.041
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operation +proj=pipeline
+step +init=epsg:32631 +inv
+step +init=epsg:4326
--------------------------------------------------------------------------------
tolerance 0.03 m
accept 403186.945 8885748.708
expect -2.0 80.0
tolerance 0.03 m
accept 221288.77 6661953.041
expect -2.0 60.0
tolerance 0.03 m
accept 73106.698 4439746.917
expect -2.0 40.0
tolerance 0.03 m
accept -23538.687 2219308.238
expect -2.0 20.0
tolerance 0.03 m
accept -57087.12 0.0
expect -2.0 0.0
tolerance 0.03 m
accept -23538.687 -2219308.238
expect -2.0 -20.0
tolerance 0.03 m
accept 73106.698 -4439746.917
expect -2.0 -40.0
tolerance 0.03 m
accept 221288.77 -6661953.041
expect -2.0 -60.0
tolerance 0.03 m
accept 403186.945 -8885748.708
expect -2.0 -80.0
tolerance 0.03 m
accept 54506.435 6678411.623
expect -5.0 60.0
tolerance 0.03 m
accept 110043.299 6672079.494
expect -4.0 60.0
tolerance 0.03 m
accept 165640.332 6666593.572
expect -3.0 60.0
tolerance 0.03 m
accept 221288.77 6661953.041
expect -2.0 60.0
tolerance 0.03 m
accept 276979.926 6658157.202
expect -1.0 60.0
tolerance 0.03 m
accept 332705.179 6655205.484
expect 0.0 60.0
tolerance 0.03 m
accept 388455.958 6653097.435
expect 1.0 60.0
tolerance 0.03 m
accept 444223.733 6651832.735
expect 2.0 60.0
tolerance 0.03 m
accept 500000.0 6651411.19
expect 3.0 60.0
tolerance 0.03 m
accept 555776.267 6651832.735
expect 4.0 60.0
tolerance 0.03 m
accept 611544.042 6653097.435
expect 5.0 60.0
tolerance 0.03 m
accept 667294.821 6655205.484
expect 6.0 60.0
tolerance 0.03 m
accept 723020.074 6658157.202
expect 7.0 60.0
tolerance 0.03 m
accept 778711.23 6661953.041
expect 8.0 60.0
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operation +proj=pipeline
+step +init=epsg:4326 +inv
+step +init=epsg:32631
--------------------------------------------------------------------------------
tolerance 0.006 m
accept -2.0 80.0
roundtrip 1000
tolerance 0.006 m
accept -2.0 60.0
roundtrip 1000
tolerance 0.006 m
accept -2.0 40.0
roundtrip 1000
tolerance 0.006 m
accept -2.0 20.0
roundtrip 1000
tolerance 0.006 m
accept -2.0 0.0
roundtrip 1000
tolerance 0.006 m
accept -2.0 -20.0
roundtrip 1000
tolerance 0.006 m
accept -2.0 -40.0
roundtrip 1000
tolerance 0.006 m
accept -2.0 -60.0
roundtrip 1000
tolerance 0.006 m
accept -2.0 -80.0
roundtrip 1000
tolerance 0.006 m
accept -5.0 60.0
roundtrip 1000
tolerance 0.006 m
accept -4.0 60.0
roundtrip 1000
tolerance 0.006 m
accept -3.0 60.0
roundtrip 1000
tolerance 0.006 m
accept -2.0 60.0
roundtrip 1000
tolerance 0.006 m
accept -1.0 60.0
roundtrip 1000
tolerance 0.006 m
accept 0.0 60.0
roundtrip 1000
tolerance 0.006 m
accept 1.0 60.0
roundtrip 1000
tolerance 0.006 m
accept 2.0 60.0
roundtrip 1000
tolerance 0.006 m
accept 3.0 60.0
roundtrip 1000
tolerance 0.006 m
accept 4.0 60.0
roundtrip 1000
tolerance 0.006 m
accept 5.0 60.0
roundtrip 1000
tolerance 0.006 m
accept 6.0 60.0
roundtrip 1000
tolerance 0.006 m
accept 7.0 60.0
roundtrip 1000
tolerance 0.006 m
accept 8.0 60.0
roundtrip 1000
</gie>