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Test 5101 (part 4), 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:4190 +inv
+step +proj=etmerc +lat_0=-90 +lon_0=-60 +k=1 +x_0=5500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs
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tolerance 0.03 m
accept -63.9993433 80.0002644
expect 5422500.0 18889800.0
tolerance 0.03 m
accept -63.9998472 60.0001191
expect 5276900.0 16662800.0
tolerance 0.03 m
accept -63.9997361 40.0003081
expect 5158399.999 14439199.99
tolerance 0.03 m
accept -64.0004605 19.9996448
expect 5081100.0 12219300.0
tolerance 0.03 m
accept -63.9996186 0.0003092
expect 5054400.005 10002000.0
tolerance 0.03 m
accept -64.0004675 -19.9999283
expect 5081100.017 7784599.993
tolerance 0.03 m
accept -63.9997001 -39.9996924
expect 5158400.0 5564800.0
tolerance 0.03 m
accept -63.9998814 -60.0004008
expect 5276899.994 3341099.995
tolerance 0.03 m
accept -63.9991006 -79.9996521
expect 5422500.0 1114200.0
tolerance 0.03 m
accept -70.0002089 -40.000215
expect 4645300.113 5524200.123
tolerance 0.03 m
accept -69.0001441 -40.0002935
expect 4730900.0 5533400.0
tolerance 0.03 m
accept -67.9995333 -39.9996136
expect 4816500.043 5541700.028
tolerance 0.03 m
accept -66.9998073 -39.9999313
expect 4902000.0 5548900.0
tolerance 0.03 m
accept -65.9996522 -39.9995894
expect 4987500.009 5555200.001
tolerance 0.03 m
accept -64.9992796 -40.000411
expect 5073000.0 5560400.0
tolerance 0.03 m
accept -63.9997 -39.9996925
expect 5158400.01 5564799.987
tolerance 0.03 m
accept -62.9999842 -40.0002087
expect 5243800.0 5568100.0
tolerance 0.03 m
accept -62.0000778 -40.0001803
expect 5329199.995 5570500.009
tolerance 0.03 m
accept -61.0000574 -39.9996182
expect 5414600.0 5572000.0
tolerance 0.03 m
accept -60.0 -40.0003306
expect 5500000.0 5572399.996
tolerance 0.03 m
accept -58.9999426 -39.9996182
expect 5585400.0 5572000.0
tolerance 0.03 m
accept -57.9999222 -40.0001803
expect 5670800.005 5570500.009
tolerance 0.03 m
accept -57.0000158 -40.0002087
expect 5756200.0 5568100.0
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operation +proj=pipeline
+step +proj=etmerc +lat_0=-90 +lon_0=-60 +k=1 +x_0=5500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs +inv
+step +init=epsg:4190
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tolerance 0.03 m
accept 5422500.0 18889800.0
expect -63.9993433 80.0002644
tolerance 0.03 m
accept 5276900.0 16662800.0
expect -63.9998472 60.0001191
tolerance 0.03 m
accept 5158399.999 14439199.99
expect -63.9997361 40.0003081
tolerance 0.03 m
accept 5081100.0 12219300.0
expect -64.0004605 19.9996448
tolerance 0.03 m
accept 5054400.005 10002000.0
expect -63.9996186 0.0003092
tolerance 0.03 m
accept 5081100.017 7784599.993
expect -64.0004675 -19.9999283
tolerance 0.03 m
accept 5158400.0 5564800.0
expect -63.9997001 -39.9996924
tolerance 0.03 m
accept 5276899.994 3341099.995
expect -63.9998814 -60.0004008
tolerance 0.03 m
accept 5422500.0 1114200.0
expect -63.9991006 -79.9996521
tolerance 0.03 m
accept 4645300.113 5524200.123
expect -70.0002089 -40.000215
tolerance 0.03 m
accept 4730900.0 5533400.0
expect -69.0001441 -40.0002935
tolerance 0.03 m
accept 4816500.043 5541700.028
expect -67.9995333 -39.9996136
tolerance 0.03 m
accept 4902000.0 5548900.0
expect -66.9998073 -39.9999313
tolerance 0.03 m
accept 4987500.009 5555200.001
expect -65.9996522 -39.9995894
tolerance 0.03 m
accept 5073000.0 5560400.0
expect -64.9992796 -40.000411
tolerance 0.03 m
accept 5158400.01 5564799.987
expect -63.9997 -39.9996925
tolerance 0.03 m
accept 5243800.0 5568100.0
expect -62.9999842 -40.0002087
tolerance 0.03 m
accept 5329199.995 5570500.009
expect -62.0000778 -40.0001803
tolerance 0.03 m
accept 5414600.0 5572000.0
expect -61.0000574 -39.9996182
tolerance 0.03 m
accept 5500000.0 5572399.996
expect -60.0 -40.0003306
tolerance 0.03 m
accept 5585400.0 5572000.0
expect -58.9999426 -39.9996182
tolerance 0.03 m
accept 5670800.005 5570500.009
expect -57.9999222 -40.0001803
tolerance 0.03 m
accept 5756200.0 5568100.0
expect -57.0000158 -40.0002087
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operation +proj=pipeline
+step +init=epsg:4190 +inv
+step +proj=etmerc +lat_0=-90 +lon_0=-60 +k=1 +x_0=5500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs
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tolerance 0.006 m
accept -63.9993433 80.0002644
roundtrip 1000
tolerance 0.006 m
accept -63.9998472 60.0001191
roundtrip 1000
tolerance 0.006 m
accept -63.9997361 40.0003081
roundtrip 1000
tolerance 0.006 m
accept -64.0004605 19.9996448
roundtrip 1000
tolerance 0.006 m
accept -63.9996186 0.0003092
roundtrip 1000
tolerance 0.006 m
accept -64.0004675 -19.9999283
roundtrip 1000
tolerance 0.006 m
accept -63.9997001 -39.9996924
roundtrip 1000
tolerance 0.006 m
accept -63.9998814 -60.0004008
roundtrip 1000
tolerance 0.006 m
accept -63.9991006 -79.9996521
roundtrip 1000
tolerance 0.006 m
accept -70.0002089 -40.000215
roundtrip 1000
tolerance 0.006 m
accept -69.0001441 -40.0002935
roundtrip 1000
tolerance 0.006 m
accept -67.9995333 -39.9996136
roundtrip 1000
tolerance 0.006 m
accept -66.9998073 -39.9999313
roundtrip 1000
tolerance 0.006 m
accept -65.9996522 -39.9995894
roundtrip 1000
tolerance 0.006 m
accept -64.9992796 -40.000411
roundtrip 1000
tolerance 0.006 m
accept -63.9997 -39.9996925
roundtrip 1000
tolerance 0.006 m
accept -62.9999842 -40.0002087
roundtrip 1000
tolerance 0.006 m
accept -62.0000778 -40.0001803
roundtrip 1000
tolerance 0.006 m
accept -61.0000574 -39.9996182
roundtrip 1000
tolerance 0.006 m
accept -60.0 -40.0003306
roundtrip 1000
tolerance 0.006 m
accept -58.9999426 -39.9996182
roundtrip 1000
tolerance 0.006 m
accept -57.9999222 -40.0001803
roundtrip 1000
tolerance 0.006 m
accept -57.0000158 -40.0002087
roundtrip 1000
</gie>