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--------------------------------------------------------------------------------

Test 5101 (part 4), Transverse Mercator, v2-0_2011-06-28, recommended JHS formula

--------------------------------------------------------------------------------

<gie>

--------------------------------------------------------------------------------
operation  +proj=pipeline
           +step +init=epsg:4190 +inv
           +step +init=epsg:22175
--------------------------------------------------------------------------------
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 -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

--------------------------------------------------------------------------------
operation  +proj=pipeline
           +step +init=epsg:22175 +inv
           +step +init=epsg:4190
--------------------------------------------------------------------------------
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 -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

--------------------------------------------------------------------------------
operation  +proj=pipeline
           +step +init=epsg:4190 +inv
           +step +init=epsg:22175
--------------------------------------------------------------------------------
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 -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>