===============================================================================
Test material, mostly converted from selftest entries in PJ_xxx.c
Most of this material was autogenerated, and does not attempt to exercise
corner cases etc.
See more_builtins.gie for some test cases with a more human touch.
===============================================================================
<gie>
===============================================================================
Albers Equal Area
Conic Sph&Ell
lat_1= lat_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=aea +ellps=GRS80 +lat_1=0 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222571.608757106 110653.326743030
accept 2 -1
expect 222706.306508391 -110484.267144400
accept -2 1
expect -222571.608757106 110653.326743030
accept -2 -1
expect -222706.306508391 -110484.267144400
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796630 -0.000904370
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796630 -0.000904370
-------------------------------------------------------------------------------
operation +proj=aea +R=6400000 +lat_1=0 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223334.085170885 111780.431884472
accept 2 -1
expect 223470.154991687 -111610.339430990
accept -2 1
expect -223334.085170885 111780.431884472
accept -2 -1
expect -223470.154991687 -111610.339430990
direction inverse
accept 200 100
expect 0.001790494 0.000895246
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790494 0.000895246
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Azimuthal Equidistant
Azi, Sph&Ell
lat_0 guam
===============================================================================
-------------------------------------------------------------------------------
Test equatorial aspect of the spherical azimuthal equidistant. Test data from
Snyder pp. 196-197, table 30.
-------------------------------------------------------------------------------
operation +proj=aeqd +R=1 +lat_0=0
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 0
expect 0 0
roundtrip 100
accept 0 90
expect 0 1.57080
roundtrip 100
accept 10 80
expect 0.04281 1.39829
roundtrip 100
accept 40 30
expect 0.62896 0.56493
roundtrip 100
accept 90 0
expect 1.57080 0
roundtrip 100
accept 90 90
expect 0 1.57080
roundtrip 100
# point opposite projection center is undefined
accept 180 0
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
Test equatorial aspect of the ellipsoidal azimuthal equidistant. Test data from
Snyder pp. 196-197, table 30.
-------------------------------------------------------------------------------
operation +proj=aeqd +ellps=GRS80 +lat_0=0
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 90
expect 0 10001965.7292
roundtrip 100
accept 0 0
expect 0 0
roundtrip 100
accept 90 0
expect 10_018_754.1714 0
roundtrip 100
accept 90 0
expect 10_018_754.1714 0
roundtrip 100
accept 45 45
expect 3_860_398.3783 5_430_089.0490
roundtrip 100
-------------------------------------------------------------------------------
# Test the azimuthal equidistant modified for Guam. Test data from the EPSG
Guidance Note 7 part 2, September 2016, p. 85
-------------------------------------------------------------------------------
operation +proj=aeqd +guam +ellps=clrk66 +x_0=50000.00 +y_0=50000.00
+lon_0=144.74875069444445 +lat_0=13.47246633333333
-------------------------------------------------------------------------------
tolerance 1 cm
accept 144.635331291666660 13.33903846111111
expect 37712.48 35242.00
roundtrip 100
direction inverse
accept 37712.48 35242.00
expect 144.635331291666660 13.33903846111111
-------------------------------------------------------------------------------
Test northern polar aspect of the ellipsoidal azimuthal equidistant. Test data
from Snyder p. 198, table 31.
-------------------------------------------------------------------------------
operation +proj=aeqd +ellps=intl +lat_0=90
-------------------------------------------------------------------------------
tolerance 0.1 m
accept 0 90
expect 0 0
roundtrip 100
accept 0 85
expect 0 -558_485.4
roundtrip 100
accept 0 80
expect 0 -1_116_885.2
roundtrip 100
accept 0 70
expect 0 -2_233_100.9
roundtrip 100
-------------------------------------------------------------------------------
Test sourthern polar aspect of the ellipsoidal azimuthal equidistant. Test data
from Snyder p. 198, table 31.
-------------------------------------------------------------------------------
operation +proj=aeqd +ellps=intl +lat_0=-90
-------------------------------------------------------------------------------
tolerance 0.1 m
accept 0 -90
expect 0 0
roundtrip 100
accept 0 -85
expect 0 558_485.4
roundtrip 100
accept 0 -80
expect 0 1_116_885.2
roundtrip 100
accept 0 -70
expect 0 2_233_100.9
roundtrip 100
-------------------------------------------------------------------------------
Test northern polar aspect of the spherical azimuthal equidistant.
-------------------------------------------------------------------------------
operation +proj=aeqd +R=1 +lat_0=90
-------------------------------------------------------------------------------
tolerance 0.1 m
accept 0 0
expect 0 -1.5708
roundtrip 100
accept 0 90
expect 0 0
roundtrip 100
accept 90 90
expect 0 0
roundtrip 100
accept 90 0
expect 1.5708 0
roundtrip 100
accept 45 45
expext 0.5554 -0.5554
roundtrip 100
#point opposite of projection center is undefined
accept 0 -90
expect failure errno tolerance_condition
direction inverse
accept 0 5
expect failure errno tolerance_condition
accept 0 3.14159265359
expect 180 -90
-------------------------------------------------------------------------------
Test sourthnern polar aspect of the spherical azimuthal equidistant.
-------------------------------------------------------------------------------
operation +proj=aeqd +R=1 +lat_0=-90
-------------------------------------------------------------------------------
tolerance 0.1 m
accept 0 0
expect 0 1.5708
roundtrip 100
accept 0 -90
expect 0 0
roundtrip 100
accept 90 -90
expect 0 0
roundtrip 100
accept 90 0
expect 1.5708 0
roundtrip 100
accept 45 -45
expext 0.5554 -0.5554
roundtrip 100
#point opposite of projection center is undefined
accept 0 90
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
Test oblique aspect of the spherical azimuthal equidistant.
-------------------------------------------------------------------------------
operation +proj=aeqd +R=1 +lat_0=45
-------------------------------------------------------------------------------
tolerance 0.1 m
accept 0 0
expect 0.0000 -0.7854
roundtrip 100
accept 0 45
expect 0.0000 0.0000
roundtrip 100
accept 0 90
expect 0.0000 0.7854
roundtrip 100
accept 90 0
expect 1.5708 -0.0000
roundtrip 100
accept 90 45
expect 0.8550 0.6046
#roundtrip 100 # roundtrip performs badly for this test on some platforms
accept 90 90
expect 0.0000 0.7854
roundtrip 100
-------------------------------------------------------------------------------
Test oblique aspect of the ellipsoidal azimuthal equidistant.
-------------------------------------------------------------------------------
operation +proj=aeqd +ellps=GRS80 +lat_0=45
-------------------------------------------------------------------------------
tolerance 0.1 m
accept 0 0
expect 0.0000 -4984944.3779
roundtrip 100
accept 0 45
expect 0.0000 0.0000
roundtrip 100
accept 0 90
expect 0.0000 5017021.3514
roundtrip 100
accept 90 0
expect 10010351.5666 26393.3781
roundtrip 100
accept 90 45
expect 5461910.9128 3863514.7047
roundtrip 100
accept 90 90
expect 0.0000 5017021.3514
roundtrip 100
===============================================================================
Airy
Misc Sph, no inv.
no_cut lat_b=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=airy +a=6400000 +lat_1=0 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 189109.886908621 94583.752387504
accept 2 -1
expect 189109.886908621 -94583.752387504
accept -2 1
expect -189109.886908621 94583.752387504
accept -2 -1
expect -189109.886908621 -94583.752387504
-------------------------------------------------------------------------------
Test north polar aspect
-------------------------------------------------------------------------------
operation +proj=airy +R=1 +lat_0=90
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 0
expect 0 -1.3863
accept 0 90
expect 0 0
accept 0 -90
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
Test south polar aspect
-------------------------------------------------------------------------------
operation +proj=airy +R=1 +lat_0=-90
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 0
expect 0 1.3863
accept 0 -90
expect 0 0
accept 0 90
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
Test oblique aspect
-------------------------------------------------------------------------------
operation +proj=airy +R=1 +lon_0=45 +lat_0=45
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 45 45
expect 0 0
accept 0 0
expext -0.7336 -0.5187
accept -45 -45
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
Test that coordinates on the opposing hemisphere are projected when using
+no_cut.
-------------------------------------------------------------------------------
operation +proj=airy +R=1 +lat_0=-90 +no_cut
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 10
expect 0 1.5677
-------------------------------------------------------------------------------
Test the +lat_b parameter
-------------------------------------------------------------------------------
operation +proj=airy +R=1 +lat_b=89.99999999 # check tolerance
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 0
expect 0 0
-------------------------------------------------------------------------------
operation +proj=airy +R=1 +lat_b=30
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 0
expect 0 0
accept 25 25
expect 0.3821 0.4216
===============================================================================
Aitoff
Misc Sph
===============================================================================
-------------------------------------------------------------------------------
operation +proj=aitoff +R=6400000 +lat_1=0 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223379.458811696 111706.742883853
accept 2 -1
expect 223379.458811696 -111706.742883853
accept -2 1
expect -223379.458811696 111706.742883853
accept -2 -1
expect -223379.458811696 -111706.742883853
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Mod. Stereographic of Alaska
Azi(mod)
===============================================================================
-------------------------------------------------------------------------------
operation +proj=alsk +ellps=clrk66
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept -160.000000000 55.000000000
expect -513253.146950842 -968928.031867943
accept -160.000000000 70.000000000
expect -305001.133897637 687494.464958651
accept -145.000000000 70.000000000
expect 266454.305088600 683423.477493031
accept -145.000000000 60.000000000
expect 389141.322439244 -423913.251230397
direction inverse
accept -500000.000000000 -950000.000000000
expect -159.830804303 55.183195262
accept -305000.000000000 700000.000000000
expect -160.042203156 70.111086864
accept 250000.000000000 700000.000000000
expect -145.381043551 70.163900908
accept 400000.000000000 -400000.000000000
expect -144.758985461 60.202929201
-------------------------------------------------------------------------------
operation +proj=alsk +R=6370997
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept -160.000000000 55.000000000
expect -511510.319410844 -967150.991676078
accept -160.000000000 70.000000000
expect -303744.771290369 685439.745941123
accept -145.000000000 70.000000000
expect 265354.974019663 681386.892874573
accept -145.000000000 60.000000000
expect 387711.995394027 -422980.685505463
direction inverse
accept -500000.000000000 -950000.000000000
expect -159.854014458 55.165653849
accept -305000.000000000 700000.000000000
expect -160.082332372 70.128307618
accept 250000.000000000 700000.000000000
expect -145.347827407 70.181566919
accept 400000.000000000 -400000.000000000
expect -144.734239827 60.193564733
===============================================================================
Apian Globular I
Misc Sph, no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=apian +a=6400000 +lat_1=0 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223374.577355253 111701.072127637
accept 2 -1
expect 223374.577355253 -111701.072127637
accept -2 1
expect -223374.577355253 111701.072127637
accept -2 -1
expect -223374.577355253 -111701.072127637
===============================================================================
August Epicycloidal
Misc Sph, no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=august +a=6400000 +lat_1=0 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223404.978180972 111722.340289763
accept 2 -1
expect 223404.978180972 -111722.340289763
accept -2 1
expect -223404.978180972 111722.340289763
accept -2 -1
expect -223404.978180972 -111722.340289763
===============================================================================
Bacon Globular
Misc Sph, no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=bacon +a=6400000 +lat_1=0 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223334.132555965 175450.725922666
accept 2 -1
expect 223334.132555965 -175450.725922666
accept -2 1
expect -223334.132555965 175450.725922666
accept -2 -1
expect -223334.132555965 -175450.725922666
===============================================================================
Bipolar conic of western hemisphere
Conic Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=bipc +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 2452160.217725756 -14548450.759654747
accept 2 -1
expect 2447915.213725341 -14763427.212798730
accept -2 1
expect 2021695.522934909 -14540413.695283702
accept -2 -1
expect 2018090.503004699 -14755620.651414108
direction inverse
accept 200 100
expect -73.038700285 17.248118466
accept 200 -100
expect -73.037303739 17.249414978
accept -200 100
expect -73.035893173 17.245536403
accept -200 -100
expect -73.034496627 17.246832896
-------------------------------------------------------------------------------
operation +proj=bipc +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 2460565.740974965 -14598319.989330800
accept 2 -1
expect 2456306.185935200 -14814033.339502094
accept -2 1
expect 2028625.497819099 -14590255.375482792
accept -2 -1
expect 2025008.120589143 -14806200.018759441
direction inverse
accept 200 100
expect -73.038693105 17.248116270
accept 200 -100
expect -73.037301330 17.249408353
accept -200 100
expect -73.035895582 17.245543028
accept -200 -100
expect -73.034503807 17.246835092
===============================================================================
Boggs Eumorphic
PCyl., no inv., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=boggs +a=6400000 +lat_1=0 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 211949.700808182 117720.998305411
accept 2 -1
expect 211949.700808182 -117720.998305411
accept -2 1
expect -211949.700808182 117720.998305411
accept -2 -1
expect -211949.700808182 -117720.998305411
===============================================================================
Bonne (Werner lat_1=90)
Conic Sph&Ell
lat_1=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=bonne +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222605.296097157 55321.139565495
accept 2 -1
expect 222605.296099239 -165827.647799052
accept -2 1
expect -222605.296097157 55321.139565495
accept -2 -1
expect -222605.296099239 -165827.647799052
direction inverse
accept 200 100
expect 0.001796699 0.500904369
accept 200 -100
expect 0.001796698 0.499095631
accept -200 100
expect -0.001796699 0.500904369
accept -200 -100
expect -0.001796698 0.499095631
-------------------------------------------------------------------------------
operation +proj=bonne +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223368.115572528 55884.555246394
accept 2 -1
expect 223368.115574632 -167517.599369694
accept -2 1
expect -223368.115572528 55884.555246394
accept -2 -1
expect -223368.115574632 -167517.599369694
direction inverse
accept 200 100
expect 0.001790562 0.500895246
accept 200 -100
expect 0.001790561 0.499104753
accept -200 100
expect -0.001790562 0.500895246
accept -200 -100
expect -0.001790561 0.499104753
===============================================================================
Cal Coop Ocean Fish Invest Lines/Stations
Cyl, Sph&Ell
===============================================================================
-------------------------------------------------------------------------------
operation +proj=calcofi +ellps=GRS80 +lat_1=0.5 +lat_2=2 +no_defs
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 508.444872150 -1171.764860418
accept 2 -1
expect 514.999168152 -1145.821981468
accept -2 1
expect 500.685384125 -1131.445377920
accept -2 -1
expect 507.369719137 -1106.178201483
direction inverse
accept 200 100
expect -110.363307925 12.032056976
accept 200 -100
expect -98.455008863 18.698723643
accept -200 100
expect -207.447024504 81.314089279
accept -200 -100
expect -62.486322854 87.980755945
-------------------------------------------------------------------------------
operation +proj=calcofi +R=6400000 +lat_1=0.5 +lat_2=2 +no_defs
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 507.090507488 -1164.727375198
accept 2 -1
expect 513.686136375 -1138.999268217
accept -2 1
expect 499.336261476 -1124.435130997
accept -2 -1
expect 506.060570393 -1099.375665067
direction inverse
accept 200 100
expect -110.305190410 12.032056976
accept 200 -100
expect -98.322360950 18.698723643
accept -200 100
expect -207.544906814 81.314089279
accept -200 -100
expect -62.576950372 87.980755945
operation +proj=calcofi +lon_0=50
accept 10 50
expect 303.525850 -1576.974388
roundtrip 100
operation +proj=calcofi +ellps=GRS80 +lon_0=50
accept 10 50
expect 303.525850 -1576.974388
roundtrip 100
operation +proj=calcofi +R=400 +lon_0=50 +x_0=10000 +y_0=500000
accept 10 50
expect 301.769827 -1567.849822
roundtrip 100
===============================================================================
Cassini
Cyl, Sph&Ell
===============================================================================
-------------------------------------------------------------------------------
operation +proj=cass +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222605.285776991 110642.229253999
accept 2 -1
expect 222605.285776991 -110642.229253999
accept -2 1
expect -222605.285776991 110642.229253999
accept -2 -1
expect -222605.285776991 -110642.229253999
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
operation +proj=cass +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223368.105203484 111769.145040586
accept 2 -1
expect 223368.105203484 -111769.145040586
accept -2 1
expect -223368.105203484 111769.145040586
accept -2 -1
expect -223368.105203484 -111769.145040586
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Central Conic
Sph
lat_1
===============================================================================
-------------------------------------------------------------------------------
operation +proj=pipeline +R=6390000
+step +proj=ccon +lat_1=52 +lat_0=52 +lon_0=19 +x_0=330000 +y_0=-350000
+step +proj=axisswap +order=1,-2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 24 55
expect 650031.54109413219363 4106.1617770643609028
accept 15 49
expect 37074.189007307473069 676826.23559270039774
accept 24 49
expect 696053.36061617843913 672294.56795827199940
accept 19 52
expect 330000.00000000000000 350000.00000000000000
direction inverse
accept 0 0
expect 13.840227318521004431 55.030403993648806391
accept 0 700000
expect 14.514453594615022781 48.773847834747808675
accept 700000 0
expect 24.782707184271129766 55.003515505218481835
accept 700000 700000
expect 24.027610763560529927 48.750476070495021286
accept 330000 350000
expect 19.000000000000000000 52.000000000000000000
===============================================================================
Central Cylindrical
Cyl, Sph
===============================================================================
-------------------------------------------------------------------------------
operation +proj=cc +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223402.144255274 111712.415540593
accept 2 -1
expect 223402.144255274 -111712.415540593
accept -2 1
expect -223402.144255274 111712.415540593
accept -2 -1
expect -223402.144255274 -111712.415540593
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Equal Area Cylindrical
Cyl, Sph&Ell
lat_ts=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=cea +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222638.981586547 110568.812396267
accept 2 -1
expect 222638.981586547 -110568.812396266
accept -2 1
expect -222638.981586547 110568.812396267
accept -2 -1
expect -222638.981586547 -110568.812396266
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
operation +proj=cea +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223402.144255274 111695.401198614
accept 2 -1
expect 223402.144255274 -111695.401198614
accept -2 1
expect -223402.144255274 111695.401198614
accept -2 -1
expect -223402.144255274 -111695.401198614
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Chamberlin Trimetric
Misc Sph, no inv.
lat_1= lon_1= lat_2= lon_2= lat_3= lon_3=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=chamb +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.5 mm
accept 2 1
expect -27864.779586801 -223364.324593274
accept 2 -1
expect -251312.283053493 -223402.145526208
accept -2 1
expect -27864.785649105 223364.327328827
accept -2 -1
expect -251312.289116443 223402.142197287
===============================================================================
Collignon
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=collg +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 249872.921577930 99423.174788460
accept 2 -1
expect 254272.532301245 -98559.307760743
accept -2 1
expect -249872.921577930 99423.174788460
accept -2 -1
expect -254272.532301245 -98559.307760743
direction inverse
accept 200 100
expect 0.001586797 0.001010173
accept 200 -100
expect 0.001586769 -0.001010182
accept -200 100
expect -0.001586797 0.001010173
accept -200 -100
expect -0.001586769 -0.001010182
===============================================================================
Compact Miller
Cyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=comill +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223402.144255274 110611.859089459
accept 2 -1
expect 223402.144255274 -110611.859089459
accept -2 1
expect -223402.144255274 110611.859089459
accept -2 -1
expect -223402.144255274 -110611.859089459
direction inverse
accept 200 100
expect 0.001790493 0.000904107
accept 200 -100
expect 0.001790493 -0.000904107
accept -200 100
expect -0.001790493 0.000904107
accept -200 -100
expect -0.001790493 -0.000904107
===============================================================================
Craster Parabolic (Putnins P4)
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=crast +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 218280.142056781 114306.045604280
accept 2 -1
expect 218280.142056781 -114306.045604280
accept -2 1
expect -218280.142056781 114306.045604280
accept -2 -1
expect -218280.142056781 -114306.045604280
direction inverse
accept 200 100
expect 0.001832259 0.000874839
accept 200 -100
expect 0.001832259 -0.000874839
accept -200 100
expect -0.001832259 0.000874839
accept -200 -100
expect -0.001832259 -0.000874839
===============================================================================
Denoyer Semi-Elliptical
PCyl., no inv., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=denoy +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223377.422876954 111701.072127637
accept 2 -1
expect 223377.422876954 -111701.072127637
accept -2 1
expect -223377.422876954 111701.072127637
accept -2 -1
expect -223377.422876954 -111701.072127637
===============================================================================
Eckert I
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=eck1 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 204680.888202951 102912.178426065
accept 2 -1
expect 204680.888202951 -102912.178426065
accept -2 1
expect -204680.888202951 102912.178426065
accept -2 -1
expect -204680.888202951 -102912.178426065
direction inverse
accept 200 100
expect 0.001943415 0.000971702
accept 200 -100
expect 0.001943415 -0.000971702
accept -200 100
expect -0.001943415 0.000971702
accept -200 -100
expect -0.001943415 -0.000971702
===============================================================================
Eckert II
PCyl. Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=eck2 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 204472.870907960 121633.734975242
accept 2 -1
expect 204472.870907960 -121633.734975242
accept -2 1
expect -204472.870907960 121633.734975242
accept -2 -1
expect -204472.870907960 -121633.734975242
direction inverse
accept 200 100
expect 0.001943415 0.000824804
accept 200 -100
expect 0.001943415 -0.000824804
accept -200 100
expect -0.001943415 0.000824804
accept -200 -100
expect -0.001943415 -0.000824804
===============================================================================
Eckert III
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=eck3 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 188652.015721538 94328.919337031
accept 2 -1
expect 188652.015721538 -94328.919337031
accept -2 1
expect -188652.015721538 94328.919337031
accept -2 -1
expect -188652.015721538 -94328.919337031
direction inverse
accept 200 100
expect 0.002120241 0.001060120
accept 200 -100
expect 0.002120241 -0.001060120
accept -200 100
expect -0.002120241 0.001060120
accept -200 -100
expect -0.002120241 -0.001060120
===============================================================================
Eckert IV
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=eck4 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 188646.389356416 132268.540174065
accept 2 -1
expect 188646.389356416 -132268.540174065
accept -2 1
expect -188646.389356416 132268.540174065
accept -2 -1
expect -188646.389356416 -132268.540174065
direction inverse
accept 200 100
expect 0.002120241 0.000756015
accept 200 -100
expect 0.002120241 -0.000756015
accept -200 100
expect -0.002120241 0.000756015
accept -200 -100
expect -0.002120241 -0.000756015
===============================================================================
Eckert V
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=eck5 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 197031.392134061 98523.198847227
accept 2 -1
expect 197031.392134061 -98523.198847227
accept -2 1
expect -197031.392134061 98523.198847227
accept -2 -1
expect -197031.392134061 -98523.198847227
direction inverse
accept 200 100
expect 0.002029979 0.001014989
accept 200 -100
expect 0.002029979 -0.001014989
accept -200 100
expect -0.002029979 0.001014989
accept -200 -100
expect -0.002029979 -0.001014989
===============================================================================
Eckert VI
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=eck6 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 197021.605628992 126640.420733174
accept 2 -1
expect 197021.605628992 -126640.420733174
accept -2 1
expect -197021.605628992 126640.420733174
accept -2 -1
expect -197021.605628992 -126640.420733174
direction inverse
accept 200 100
expect 0.002029979 0.000789630
accept 200 -100
expect 0.002029979 -0.000789630
accept -200 100
expect -0.002029979 0.000789630
accept -200 -100
expect -0.002029979 -0.000789630
===============================================================================
Equidistant Cylindrical (Plate Caree)
Cyl, Sph
lat_ts=[, lat_0=0]
===============================================================================
-------------------------------------------------------------------------------
operation +proj=eqc +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223402.144255274 111701.072127637
accept 2 -1
expect 223402.144255274 -111701.072127637
accept -2 1
expect -223402.144255274 111701.072127637
accept -2 -1
expect -223402.144255274 -111701.072127637
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Equidistant Conic
Conic, Sph&Ell
lat_1= lat_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=eqdc +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222588.440269286 110659.134907347
accept 2 -1
expect 222756.836702042 -110489.578087221
accept -2 1
expect -222588.440269286 110659.134907347
accept -2 -1
expect -222756.836702042 -110489.578087221
direction inverse
accept 200 100
expect 0.001796359 0.000904369
accept 200 -100
expect 0.001796358 -0.000904370
accept -200 100
expect -0.001796359 0.000904369
accept -200 -100
expect -0.001796358 -0.000904370
-------------------------------------------------------------------------------
operation +proj=eqdc +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223351.088175114 111786.108747174
accept 2 -1
expect 223521.200266735 -111615.970741241
accept -2 1
expect -223351.088175114 111786.108747174
accept -2 -1
expect -223521.200266735 -111615.970741241
direction inverse
accept 200 100
expect 0.001790221 0.000895246
accept 200 -100
expect 0.001790220 -0.000895247
accept -200 100
expect -0.001790221 0.000895246
accept -200 -100
expect -0.001790220 -0.000895247
===============================================================================
Euler
Conic, Sph
lat_1= and lat_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=euler +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222597.634659108 111404.240549919
accept 2 -1
expect 222767.165631876 -111234.676491018
accept -2 1
expect -222597.634659108 111404.240549919
accept -2 -1
expect -222767.165631876 -111234.676491018
direction inverse
accept 200 100
expect 0.001796281 0.000898315
accept 200 -100
expect 0.001796279 -0.000898316
accept -200 100
expect -0.001796281 0.000898315
accept -200 -100
expect -0.001796279 -0.000898316
-------------------------------------------------------------------------------
operation +proj=euler +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223360.655598694 111786.112389791
accept 2 -1
expect 223530.767690316 -111615.967098624
accept -2 1
expect -223360.655598694 111786.112389791
accept -2 -1
expect -223530.767690316 -111615.967098624
direction inverse
accept 200 100
expect 0.001790144 0.000895246
accept 200 -100
expect 0.001790143 -0.000895247
accept -200 100
expect -0.001790144 0.000895246
accept -200 -100
expect -0.001790143 -0.000895247
===============================================================================
Extended Transverse Mercator
Cyl, Sph
lat_ts=(0)
lat_0=(0)
===============================================================================
-------------------------------------------------------------------------------
operation +proj=etmerc +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5 +zone=30
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222650.796797586 110642.229411933
accept 2 -1
expect 222650.796797586 -110642.229411933
accept -2 1
expect -222650.796797586 110642.229411933
accept -2 -1
expect -222650.796797586 -110642.229411933
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
===============================================================================
Fahey
Pcyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=fahey +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 182993.344649124 101603.193569884
accept 2 -1
expect 182993.344649124 -101603.193569884
accept -2 1
expect -182993.344649124 101603.193569884
accept -2 -1
expect -182993.344649124 -101603.193569884
direction inverse
accept 200 100
expect 0.002185789 0.000984246
accept 200 -100
expect 0.002185789 -0.000984246
accept -200 100
expect -0.002185789 0.000984246
accept -200 -100
expect -0.002185789 -0.000984246
===============================================================================
Foucaut
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=fouc +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222588.120675892 111322.316700694
accept 2 -1
expect 222588.120675892 -111322.316700694
accept -2 1
expect -222588.120675892 111322.316700694
accept -2 -1
expect -222588.120675892 -111322.316700694
direction inverse
accept 200 100
expect 0.001796631 0.000898315
accept 200 -100
expect 0.001796631 -0.000898315
accept -200 100
expect -0.001796631 0.000898315
accept -200 -100
expect -0.001796631 -0.000898315
-------------------------------------------------------------------------------
operation +proj=fouc +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223351.109003414 111703.907721713
accept 2 -1
expect 223351.109003414 -111703.907721713
accept -2 1
expect -223351.109003414 111703.907721713
accept -2 -1
expect -223351.109003414 -111703.907721713
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Foucaut Sinusoidal
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=fouc_s +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223402.144255274 111695.401198614
accept 2 -1
expect 223402.144255274 -111695.401198614
accept -2 1
expect -223402.144255274 111695.401198614
accept -2 -1
expect -223402.144255274 -111695.401198614
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Gall (Gall Stereographic)
Cyl, Sph
===============================================================================
-------------------------------------------------------------------------------
operation +proj=gall +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 157969.171134520 95345.249178386
accept 2 -1
expect 157969.171134520 -95345.249178386
accept -2 1
expect -157969.171134520 95345.249178386
accept -2 -1
expect -157969.171134520 -95345.249178386
direction inverse
accept 200 100
expect 0.002532140 0.001048847
accept 200 -100
expect 0.002532140 -0.001048847
accept -200 100
expect -0.002532140 0.001048847
accept -200 -100
expect -0.002532140 -0.001048847
===============================================================================
Geocentric
===============================================================================
-------------------------------------------------------------------------------
operation +proj=geocent +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1 0
expect 6373287.27950247 222560.09599219 110568.77482092
accept 2 -1 0
expect 6373287.27950247 222560.09599219 -110568.77482092
accept -2 1 0
expect 6373287.27950247 -222560.09599219 110568.77482092
accept -2 -1 0
expect 6373287.27950247 -222560.09599219 -110568.77482092
direction inverse
accept 200 100
expect 0.001796631 0.000898315
accept 200 -100
expect 0.001796631 -0.000898315
accept -200 100
expect -0.001796631 0.000898315
accept -200 -100
expect -0.001796631 -0.000898315
-------------------------------------------------------------------------------
operation +proj=geocent +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
===============================================================================
Geostationary Satellite View
Azi, Sph&Ell
h=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=geos +ellps=GRS80 +lat_1=0.5 +lat_2=2 +h=35785831
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222527.070365800 110551.303413329
accept 2 -1
expect 222527.070365800 -110551.303413329
accept -2 1
expect -222527.070365800 110551.303413329
accept -2 -1
expect -222527.070365800 -110551.303413329
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
operation +proj=geos +R=6400000 +lat_1=0.5 +lat_2=2 +h=35785831
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223289.457635795 111677.657456537
accept 2 -1
expect 223289.457635795 -111677.657456537
accept -2 1
expect -223289.457635795 111677.657456537
accept -2 -1
expect -223289.457635795 -111677.657456537
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Ginsburg VIII (TsNIIGAiK)
PCyl, Sph., no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=gins8 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 194350.250939590 111703.907635335
accept 2 -1
expect 194350.250939590 -111703.907635335
accept -2 1
expect -194350.250939590 111703.907635335
accept -2 -1
expect -194350.250939590 -111703.907635335
===============================================================================
General Sinusoidal Series
PCyl, Sph.
m= n=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=gn_sinu +a=6400000 +lat_1=0.5 +lat_2=2 +m=1 +n=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223385.132504696 111698.236447187
accept 2 -1
expect 223385.132504696 -111698.236447187
accept -2 1
expect -223385.132504696 111698.236447187
accept -2 -1
expect -223385.132504696 -111698.236447187
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Gnomonic
Azi, Sph.
===============================================================================
-------------------------------------------------------------------------------
Test material from Snyder p. 168, table 26.
Tests the equatorial aspect of the projection.
-------------------------------------------------------------------------------
operation +proj=gnom +R=1
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 0
expect 0 0
roundtrip 100
accept 10 80
expect 0.1763 5.7588
roundtrip 100
accept 20 70
expect 0.3640 2.9238
roundtrip 100
accept 30 60
expect 0.5774 2.0000
roundtrip 100
accept 40 50
expect 0.8391 1.5557
roundtrip 100
accept 50 40
expect 1.1918 1.3054
roundtrip 100
accept 60 30
expect 1.7321 1.1547
roundtrip 100
accept 70 20
expect 2.7475 1.0642
roundtrip 100
accept 80 10
expect 5.6713 1.0154
roundtrip 100
accept 80 80
expect 5.6713 32.6596
roundtrip 100
accept 0 90
expect failure errno tolerance_condition
# test that extreme northings are mapped to the sphere
direction inverse
accept 0 1e8
expect 0 90
-------------------------------------------------------------------------------
Test the northern polar aspect of the gnonomic projection
-------------------------------------------------------------------------------
operation +proj=gnom +R=1 +lat_0=90
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 90
expect 0 0
roundtrip 100
accept 45 45
expect 0.7071 -0.7071
roundtrip 100
accept 0 0
expect failure errno tolerance_condition
accept 90 0
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
Test the sourthern polar aspect of the gnonomic projection
-------------------------------------------------------------------------------
operation +proj=gnom +R=1 +lat_0=-90
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 -90
expect 0 0
roundtrip 100
accept 45 -45
expect 0.7071 0.7071
roundtrip 100
accept 0 0
expect failure errno tolerance_condition
accept 90 0
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
Test the oblique aspect of the gnonomic projection
-------------------------------------------------------------------------------
operation +proj=gnom +R=1 +lat_0=45
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 45
expect 0 0
roundtrip 100
accept 0 0
expect 0 -1
roundtrip 100
accept 0 90
expect 0 1
roundtrip 100
accept 0 -45
expect failure errno tolerance_condition
===============================================================================
Goode Homolosine
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=goode +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223368.119026632 111701.072127637
accept 2 -1
expect 223368.119026632 -111701.072127637
accept -2 1
expect -223368.119026632 111701.072127637
accept -2 -1
expect -223368.119026632 -111701.072127637
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Mod. Stereographic of 48 U.S.
Azi(mod)
===============================================================================
-------------------------------------------------------------------------------
operation +proj=gs48 +R=6370997
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept -119.000000000 40.000000000
expect -1923908.446529346 355874.658944479
accept -70.000000000 64.000000000
expect 1354020.375109298 3040846.007866525
accept -80.000000000 25.000000000
expect 1625139.160484320 -1413614.894029108
accept -95.000000000 35.000000000
expect 90241.658071458 -439595.048485902
direction inverse
accept -1923000.000000000 355000.000000000
expect -118.987112613 39.994449789
accept 1354000.000000000 3040000.000000000
expect -70.005208999 63.993387836
accept 1625000.000000000 -1413000.000000000
expect -80.000346610 25.005602547
accept 90000.000000000 -439000.000000000
expect -95.002606473 35.005424705
===============================================================================
Mod. Stereographic of 50 U.S.
Azi(mod)
===============================================================================
-------------------------------------------------------------------------------
operation +proj=gs50 +ellps=clrk66
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept -160.000000000 65.000000000
expect -1874628.537740233 2660907.942291015
accept -130.000000000 45.000000000
expect -771831.518853336 48465.166491305
accept -65.000000000 45.000000000
expect 4030931.833981509 1323687.864777399
accept -80.000000000 36.000000000
expect 3450764.261536101 -175619.041820732
direction inverse
accept -1800000.000000000 2600000.000000000
expect -157.989285000 64.851559610
accept -800000.000000000 500000.000000000
expect -131.171390467 49.084969746
accept 4000000.000000000 1300000.000000000
expect -65.491568685 44.992837924
accept 3900000.000000000 -170000.000000000
expect -75.550660091 34.191114076
-------------------------------------------------------------------------------
operation +proj=gs50 +R=6370997
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept -160.000000000 65.000000000
expect -1867268.253460009 2656506.230401823
accept -130.000000000 45.000000000
expect -769572.189672994 48324.312440864
accept -65.000000000 45.000000000
expect 4019393.068680791 1320191.309350289
accept -80.000000000 36.000000000
expect 3442685.615172346 -178760.423489429
direction inverse
accept -1800000.000000000 2600000.000000000
expect -158.163295045 64.854288365
accept -800000.000000000 500000.000000000
expect -131.206816960 49.082915351
accept 4000000.000000000 1300000.000000000
expect -65.348945221 44.957292682
accept 3900000.000000000 -170000.000000000
expect -75.446820242 34.185406226
===============================================================================
Hammer & Eckert-Greifendorff
Misc Sph,
W= M=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=hammer +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223373.788703241 111703.907397767
accept 2 -1
expect 223373.788703241 -111703.907397767
accept -2 1
expect -223373.788703241 111703.907397767
accept -2 -1
expect -223373.788703241 -111703.907397767
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Hatano Asymmetrical Equal Area
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=hatano +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 189878.878946528 131409.802440626
accept 2 -1
expect 189881.081952445 -131409.142276074
accept -2 1
expect -189878.878946528 131409.802440626
accept -2 -1
expect -189881.081952445 -131409.142276074
direction inverse
accept 200 100
expect 0.002106462 0.000760957
accept 200 -100
expect 0.002106462 -0.000760958
accept -200 100
expect -0.002106462 0.000760957
accept -200 -100
expect -0.002106462 -0.000760958
===============================================================================
HEALPix
Sph., Ellps.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=healpix +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222390.103949239 130406.588664482
accept 2 -1
expect 222390.103949239 -130406.588664481
accept -2 1
expect -222390.103949239 130406.588664482
accept -2 -1
expect -222390.103949239 -130406.588664481
direction inverse
accept 200 100
expect 0.001798641 0.000766795
accept 200 -100
expect 0.001798641 -0.000766795
accept -200 100
expect -0.001798641 0.000766795
accept -200 -100
expect -0.001798641 -0.000766795
-------------------------------------------------------------------------------
operation +proj=healpix +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223402.144255274 131588.044441999
accept 2 -1
expect 223402.144255274 -131588.044441999
accept -2 1
expect -223402.144255274 131588.044441999
accept -2 -1
expect -223402.144255274 -131588.044441999
direction inverse
accept 200 100
expect 0.001790493 0.000759909
accept 200 -100
expect 0.001790493 -0.000759909
accept -200 100
expect -0.001790493 0.000759909
accept -200 -100
expect -0.001790493 -0.000759909
===============================================================================
rHEALPix
Sph., Ellps.
north_square= south_square=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=rhealpix +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222390.103949239 130406.588664482
accept 2 -1
expect 222390.103949239 -130406.588664481
accept -2 1
expect -222390.103949239 130406.588664482
accept -2 -1
expect -222390.103949239 -130406.588664481
direction inverse
accept 200 100
expect 0.001798641 0.000766795
accept 200 -100
expect 0.001798641 -0.000766795
accept -200 100
expect -0.001798641 0.000766795
accept -200 -100
expect -0.001798641 -0.000766795
-------------------------------------------------------------------------------
operation +proj=rhealpix +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223402.144255274 131588.044441999
accept 2 -1
expect 223402.144255274 -131588.044441999
accept -2 1
expect -223402.144255274 131588.044441999
accept -2 -1
expect -223402.144255274 -131588.044441999
direction inverse
accept 200 100
expect 0.001790493 0.000759909
accept 200 -100
expect 0.001790493 -0.000759909
accept -200 100
expect -0.001790493 0.000759909
accept -200 -100
expect -0.001790493 -0.000759909
===============================================================================
Interrupted Goode Homolosine
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=igh +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223878.497456271 111701.072127637
accept 2 -1
expect 223708.371313058 -111701.072127637
accept -2 1
expect -222857.740596992 111701.072127637
accept -2 -1
expect -223027.866740205 -111701.072127637
direction inverse
accept 200 100
expect 0.001790489 0.000895247
accept 200 -100
expect 0.001790491 -0.000895247
accept -200 100
expect -0.001790497 0.000895247
accept -200 -100
expect -0.001790496 -0.000895247
===============================================================================
International Map of the World Polyconic
Mod. Polyconic, Ell
lat_1= and lat_2= [lon_1=]
===============================================================================
-------------------------------------------------------------------------------
operation +proj=imw_p +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222588.441139376 55321.128653810
accept 2 -1
expect 222756.906377687 -165827.584288324
accept -2 1
expect -222588.441139376 55321.128653810
accept -2 -1
expect -222756.906377687 -165827.584288324
direction inverse
accept 200 100
expect 0.001796699 0.500904924
accept 200 -100
expect 0.001796698 0.499095076
accept -200 100
expect -0.001796699 0.500904924
accept -200 -100
expect -0.001796698 0.499095076
===============================================================================
Icosahedral Snyder Equal Area
Sph
===============================================================================
-------------------------------------------------------------------------------
operation +proj=isea +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect -1097074.948022474 3442909.309037183
accept 2 -1
expect -1097074.948264795 3233611.728585708
accept -2 1
expect -1575486.353641554 3442168.342028188
accept -2 -1
expect -1575486.353880283 3234352.695594706
===============================================================================
Kavraisky V
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=kav5 +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 200360.905308829 123685.082476998
accept 2 -1
expect 200360.905308829 -123685.082476998
accept -2 1
expect -200360.905308829 123685.082476998
accept -2 -1
expect -200360.905308829 -123685.082476998
direction inverse
accept 200 100
expect 0.001996259 0.000808483
accept 200 -100
expect 0.001996259 -0.000808483
accept -200 100
expect -0.001996259 0.000808483
accept -200 -100
expect -0.001996259 -0.000808483
-------------------------------------------------------------------------------
operation +proj=kav5 +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 201047.703110878 124109.050629171
accept 2 -1
expect 201047.703110878 -124109.050629171
accept -2 1
expect -201047.703110878 124109.050629171
accept -2 -1
expect -201047.703110878 -124109.050629171
direction inverse
accept 200 100
expect 0.001989440 0.000805721
accept 200 -100
expect 0.001989440 -0.000805721
accept -200 100
expect -0.001989440 0.000805721
accept -200 -100
expect -0.001989440 -0.000805721
===============================================================================
Kavraisky VII
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=kav7 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 193462.974943729 111701.072127637
accept 2 -1
expect 193462.974943729 -111701.072127637
accept -2 1
expect -193462.974943729 111701.072127637
accept -2 -1
expect -193462.974943729 -111701.072127637
direction inverse
accept 200 100
expect 0.002067483 0.000895247
accept 200 -100
expect 0.002067483 -0.000895247
accept -200 100
expect -0.002067483 0.000895247
accept -200 -100
expect -0.002067483 -0.000895247
===============================================================================
Krovak
PCyl., Ellps.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=krovak +ellps=GRS80 +no_defs
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect -3196535.232563641 -6617878.867551444
accept 2 -1
expect -3260035.440552109 -6898873.614878031
accept -2 1
expect -3756305.328869175 -6478142.561571511
accept -2 -1
expect -3831703.658501982 -6759107.170155395
direction inverse
accept 200 100
expect 24.836218919 59.758403933
accept 200 -100
expect 24.836315485 59.756888426
accept -200 100
expect 24.830447748 59.758403933
accept -200 -100
expect 24.830351182 59.756888426
===============================================================================
Laborde
Cyl, Sph
Special for Madagascar
===============================================================================
-------------------------------------------------------------------------------
operation +proj=labrd +ellps=GRS80 +lon_0=0.5 +lat_0=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 166973.166090228 -110536.912730266
accept 2 -1
expect 166973.168287157 -331761.993650884
accept -2 1
expect -278345.500519976 -110469.032642032
accept -2 -1
expect -278345.504185270 -331829.870790275
direction inverse
accept 200 100
expect 0.501797719 2.000904357
accept 200 -100
expect 0.501797717 1.999095641
accept -200 100
expect 0.498202281 2.000904357
accept -200 -100
expect 0.498202283 1.999095641
===============================================================================
Lambert Azimuthal Equal Area
Azi, Sph&Ell
===============================================================================
-------------------------------------------------------------------------------
operation +proj=laea +ellps=GRS80
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222602.471450095 110589.827224410
accept 2 -1
expect 222602.471450095 -110589.827224409
accept -2 1
expect -222602.471450095 110589.827224410
accept -2 -1
expect -222602.471450095 -110589.827224409
accept 180 0
expect failure errno tolerance_condition
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
operation +proj=laea +R=6400000
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223365.281370125 111716.668072916
accept 2 -1
expect 223365.281370125 -111716.668072916
accept -2 1
expect -223365.281370125 111716.668072916
accept -2 -1
expect -223365.281370125 -111716.668072916
accept 180 0
expect failure errno tolerance_condition
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
-------------------------------------------------------------------------------
Test oblique aspect of the spherical form
-------------------------------------------------------------------------------
operation +proj=laea +R=1 +lat_0=45
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 45
expect 0 0
accept 0 0
expect 0 -0.7654
accept 0 90
expect 0 0.7654
accept 0 -45
expect 0 -1.4142
accept 45 45
expect 0.5194 0.1521
tolerance 0.1 mm
accept 45 45
roundtrip 100
# error when waaay outside the sphere
direction inverse
accept 0 10
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
Test oblique aspect of the ellipsoidal form
-------------------------------------------------------------------------------
operation +proj=laea +ellps=GRS80 +lat_0=45
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 45
expect 0 0
accept 0 0
expect 0 -4860248.8602
accept 0 90
expect 0 4886594.2207
accept 0 -45
expect 0 -8984728.0442
accept 45 45
expect 3318800.8682 968788.2336
tolerance 10 cm
accept 45 45
roundtrip 100
# test rho <EPS10
direction inverse
accept 0 0
expect 0 45
-------------------------------------------------------------------------------
Test south polar aspect for the spherical form
-------------------------------------------------------------------------------
operation +proj=laea +R=1 +lat_0=-90
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 -90
expect 0 0
accept 0 0
expect 0 1.4142
accept 0 -45
expect 0 0.7654
accept 0 45
expect 0 1.8478
accept 0 90
expect failure errno tolerance_condition
tolerance 0.1 mm
accept 45 45
roundtrip 100
-------------------------------------------------------------------------------
Test south polar aspect for the ellipsoidal form
-------------------------------------------------------------------------------
operation +proj=laea +ellps=GRS80 +lat_0=-90
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 -90
expect 0 0
accept 0 0
expect 0 9009964.7611
accept 0 -45
expect 0 4889334.8030
accept 0 45
expect 0 11766619.5307
accept 0 90
expect failure errno tolerance_condition
tolerance 10 cm
accept 45 45
roundtrip 100
# test q == 0.0 condition
direction inverse
accept 0 0
expect 0 -90
-------------------------------------------------------------------------------
Test north polar aspect for the spherical form
-------------------------------------------------------------------------------
operation +proj=laea +R=1 +lat_0=90
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 90
expect 0 0
accept 0 0
expect 0 -1.4142
accept 0 45
expect 0 -0.7654
accept 0 -45
expect 0 -1.8478
accept 0 -90
expect failure errno tolerance_condition
tolerance 0.1 mm
accept 45 45
roundtrip 100
-------------------------------------------------------------------------------
Test north polar aspect
-------------------------------------------------------------------------------
operation +proj=laea +ellps=GRS80 +lat_0=90
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 90
expect 0 0
accept 0 0
expect 0 -9009964.7611
accept 0 45
expect 0 -4889334.8030
accept 0 -45
expect 0 -11766619.5307
accept 0 -90
expect failure errno tolerance_condition
tolerance 10 cm
accept 45 45
roundtrip 100
===============================================================================
Lagrange
Misc Sph, no inv.
W=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=lagrng +a=6400000 +W=2 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 111703.375917226 27929.831908033
roundtrip 100
accept 2 -1
expect 111699.122088816 -83784.178013358
roundtrip 100
accept -2 1
expect -111703.375917226 27929.831908033
roundtrip 100
accept -2 -1
expect -111699.122088816 -83784.178013358
roundtrip 100
accept 0 90
expect 0.0000 12800000.0
roundtrip 100
-------------------------------------------------------------------------------
operation +proj=lagrng +R=1 +lat_1=56
-------------------------------------------------------------------------------
tolerance 1 cm
accept 12 56
expect 0.10 0.0
-------------------------------------------------------------------------------
operation +proj=lagrng +R=1 +W=-1
-------------------------------------------------------------------------------
expect failure errno w_or_m_zero_or_less
-------------------------------------------------------------------------------
operation +proj=lagrng +R=1 +lat_1=90.00001
-------------------------------------------------------------------------------
expect failure errno lat_larger_than_90
-------------------------------------------------------------------------------
operation +proj=lagrng +R=1 +W=0.5
-------------------------------------------------------------------------------
accept 90 0 0
expect failure errno tolerance_condition
direction inverse
accept 2 0 0
expect failure errno tolerance_condition
===============================================================================
Larrivee
Misc Sph, no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=larr +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223393.637624201 111707.215961256
accept 2 -1
expect 223393.637624201 -111707.215961256
accept -2 1
expect -223393.637624201 111707.215961256
accept -2 -1
expect -223393.637624201 -111707.215961256
===============================================================================
Laskowski
Misc Sph, no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=lask +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 217928.275907355 112144.329220142
accept 2 -1
expect 217928.275907355 -112144.329220142
accept -2 1
expect -217928.275907355 112144.329220142
accept -2 -1
expect -217928.275907355 -112144.329220142
===============================================================================
Lambert Conformal Conic
Conic, Sph&Ell
lat_1= and lat_2= or lat_0
===============================================================================
-------------------------------------------------------------------------------
operation +proj=lcc +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222588.439735968 110660.533870800
accept 2 -1
expect 222756.879700279 -110532.797660827
accept -2 1
expect -222588.439735968 110660.533870800
accept -2 -1
expect -222756.879700279 -110532.797660827
direction inverse
accept 200 100
expect 0.001796359 0.000904232
accept 200 -100
expect 0.001796358 -0.000904233
accept -200 100
expect -0.001796359 0.000904232
accept -200 -100
expect -0.001796358 -0.000904233
===============================================================================
Lambert Conformal Conic Alternative
Conic, Sph&Ell
lat_0=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=lcca +ellps=GRS80 +lat_0=1 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222605.285770237 67.806007272
accept 2 -1
expect 222740.037637937 -221125.539829602
accept -2 1
expect -222605.285770237 67.806007272
accept -2 -1
expect -222740.037637937 -221125.539829602
direction inverse
accept 200 100
expect 0.001796903 1.000904366
accept 200 -100
expect 0.001796902 0.999095633
accept -200 100
expect -0.001796903 1.000904366
accept -200 -100
expect -0.001796902 0.999095633
===============================================================================
Lambert Equal Area Conic
Conic, Sph&Ell
lat_1= south
===============================================================================
-------------------------------------------------------------------------------
operation +proj=leac +ellps=GRS80 +lat_1=0 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 220685.140542979 112983.500889396
accept 2 -1
expect 224553.312279826 -108128.636744873
accept -2 1
expect -220685.140542979 112983.500889396
accept -2 -1
expect -224553.312279826 -108128.636744873
direction inverse
accept 200 100
expect 0.001796645 0.000904352
accept 200 -100
expect 0.001796616 -0.000904387
accept -200 100
expect -0.001796645 0.000904352
accept -200 -100
expect -0.001796616 -0.000904387
-------------------------------------------------------------------------------
operation +proj=leac +R=6400000 +lat_1=0 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 221432.868592852 114119.454526532
accept 2 -1
expect 225331.724127111 -109245.829435056
accept -2 1
expect -221432.868592852 114119.454526532
accept -2 -1
expect -225331.724127111 -109245.829435056
direction inverse
accept 200 100
expect 0.001790507 0.000895229
accept 200 -100
expect 0.001790479 -0.000895264
accept -200 100
expect -0.001790507 0.000895229
accept -200 -100
expect -0.001790479 -0.000895264
===============================================================================
Lee Oblated Stereographic
Azi(mod)
===============================================================================
-------------------------------------------------------------------------------
operation +proj=lee_os +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect -25564478.952605054 154490848.828625500
accept 2 -1
expect 30115393.938574642 125193997.439701970
accept -2 1
expect -31039340.592166007 57678685.044891544
accept -2 -1
expect -3088419.939423571 58150091.099111013
direction inverse
accept 200 100
expect -164.997479458 -9.998758861
accept 200 -100
expect -164.997479439 -10.001241120
accept -200 100
expect -165.002520542 -9.998758861
accept -200 -100
expect -165.002520561 -10.001241120
===============================================================================
Loximuthal
PCyl Sph
===============================================================================
-------------------------------------------------------------------------------
operation +proj=loxim +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223382.295791339 55850.536063819
accept 2 -1
expect 223393.637462243 -167551.608191456
accept -2 1
expect -223382.295791339 55850.536063819
accept -2 -1
expect -223393.637462243 -167551.608191456
direction inverse
accept 200 100
expect 0.001790561 0.500895247
accept 200 -100
expect 0.001790561 0.499104753
accept -200 100
expect -0.001790561 0.500895247
accept -200 -100
expect -0.001790561 0.499104753
===============================================================================
Space oblique for LANDSAT
Cyl, Sph&Ell
lsat= path=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=lsat +ellps=GRS80 +lat_1=0.5 +lat_2=2 +lsat=1 +path=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 18241950.014558550 9998256.839822935
accept 2 -1
expect 18746856.253319457 10215761.669925211
accept -2 1
expect 18565503.683633164 9085039.146727053
accept -2 -1
expect 19019696.902028911 9247763.039432822
direction inverse
accept 200 100
expect 126.000423835 0.001723782
accept 200 -100
expect 126.002213738 0.001880155
accept -200 100
expect 126.000734469 -0.001880155
accept -200 -100
expect 126.002524373 -0.001723782
===============================================================================
McBryde-Thomas Flat-Polar Sine (No. 1)
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=mbt_s +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 204131.517850273 121400.330225508
accept 2 -1
expect 204131.517850273 -121400.330225508
accept -2 1
expect -204131.517850273 121400.330225508
accept -2 -1
expect -204131.517850273 -121400.330225508
direction inverse
accept 200 100
expect 0.001959383 0.000823699
accept 200 -100
expect 0.001959383 -0.000823699
accept -200 100
expect -0.001959383 0.000823699
accept -200 -100
expect -0.001959383 -0.000823699
-------------------------------------------------------------------------------
operation +proj=mbt_s +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 204831.240570992 121816.466696035
accept 2 -1
expect 204831.240570992 -121816.466696035
accept -2 1
expect -204831.240570992 121816.466696035
accept -2 -1
expect -204831.240570992 -121816.466696035
direction inverse
accept 200 100
expect 0.001952689 0.000820885
accept 200 -100
expect 0.001952689 -0.000820885
accept -200 100
expect -0.001952689 0.000820885
accept -200 -100
expect -0.001952689 -0.000820885
===============================================================================
McBryde-Thomas Flat-Pole Sine (No. 2)
Cyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=mbt_fps +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 198798.176129850 125512.017254531
accept 2 -1
expect 198798.176129850 -125512.017254531
accept -2 1
expect -198798.176129850 125512.017254531
accept -2 -1
expect -198798.176129850 -125512.017254531
direction inverse
accept 200 100
expect 0.002011971 0.000796712
accept 200 -100
expect 0.002011971 -0.000796712
accept -200 100
expect -0.002011971 0.000796712
accept -200 -100
expect -0.002011971 -0.000796712
===============================================================================
McBride-Thomas Flat-Polar Parabolic
Cyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=mbtfpp +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 206804.786929820 120649.762565793
accept 2 -1
expect 206804.786929820 -120649.762565793
accept -2 1
expect -206804.786929820 120649.762565793
accept -2 -1
expect -206804.786929820 -120649.762565793
direction inverse
accept 200 100
expect 0.001933954 0.000828837
accept 200 -100
expect 0.001933954 -0.000828837
accept -200 100
expect -0.001933954 0.000828837
accept -200 -100
expect -0.001933954 -0.000828837
===============================================================================
McBryde-Thomas Flat-Polar Quartic
Cyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=mbtfpq +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 209391.854738393 119161.040199055
accept 2 -1
expect 209391.854738393 -119161.040199055
accept -2 1
expect -209391.854738393 119161.040199055
accept -2 -1
expect -209391.854738393 -119161.040199055
direction inverse
accept 200 100
expect 0.001910106 0.000839185
accept 200 -100
expect 0.001910106 -0.000839185
accept -200 100
expect -0.001910106 0.000839185
accept -200 -100
expect -0.001910106 -0.000839185
===============================================================================
McBryde-Thomas Flat-Polar Sinusoidal
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=mbtfps +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 204740.117478572 121864.729719340
accept 2 -1
expect 204740.117478572 -121864.729719340
accept -2 1
expect -204740.117478572 121864.729719340
accept -2 -1
expect -204740.117478572 -121864.729719340
direction inverse
accept 200 100
expect 0.001953415 0.000820580
accept 200 -100
expect 0.001953415 -0.000820580
accept -200 100
expect -0.001953415 0.000820580
accept -200 -100
expect -0.001953415 -0.000820580
===============================================================================
Mercator
Cyl, Sph&Ell
lat_ts=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=merc +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222638.981586547 110579.965218250
accept 2 -1
expect 222638.981586547 -110579.965218249
accept -2 1
expect -222638.981586547 110579.965218250
accept -2 -1
expect -222638.981586547 -110579.965218249
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
operation +proj=merc +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223402.144255274 111706.743574944
accept 2 -1
expect 223402.144255274 -111706.743574944
accept -2 1
expect -223402.144255274 111706.743574944
accept -2 -1
expect -223402.144255274 -111706.743574944
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
-------------------------------------------------------------------------------
operation +proj=merc +R=1
-------------------------------------------------------------------------------
Test the numerical stability of the inverse spherical Mercator
-------------------------------------------------------------------------------
tolerance 1e-15 m
accept 0 1e-15
expect 0 1e-15
===============================================================================
Miller Oblated Stereographic
Azi(mod)
===============================================================================
-------------------------------------------------------------------------------
operation +proj=mil_os +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect -1908527.949594205 -1726237.473061448
accept 2 -1
expect -1916673.022918485 -1943133.888125523
accept -2 1
expect -2344429.412089623 -1706258.051218912
accept -2 -1
expect -2354637.835532999 -1926468.605135417
direction inverse
accept 200 100
expect 20.002036394 18.000968347
accept 200 -100
expect 20.002036372 17.999031632
accept -200 100
expect 19.997963606 18.000968347
accept -200 -100
expect 19.997963628 17.999031632
===============================================================================
Miller Cylindrical
Cyl, Sph
===============================================================================
-------------------------------------------------------------------------------
operation +proj=mill +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223402.144255274 111704.701754394
accept 2 -1
expect 223402.144255274 -111704.701754396
accept -2 1
expect -223402.144255274 111704.701754394
accept -2 -1
expect -223402.144255274 -111704.701754396
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Space oblique for MISR
Cyl, Sph&Ell
path=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=misrsom +ellps=GRS80 +lat_1=0.5 +lat_2=2 +path=1
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 18556630.368369825 9533394.675311271
accept 2 -1
expect 19041866.006729737 9707182.175323525
accept -2 1
expect 18816810.130184799 8647669.649802955
accept -2 -1
expect 19252610.784536730 8778164.085801404
direction inverse
accept 200 100
expect 127.759503988 0.001735150
accept 200 -100
expect 127.761295471 0.001871966
accept -200 100
expect 127.759775774 -0.001871966
accept -200 -100
expect 127.761567257 -0.001735150
-------------------------------------------------------------------------------
operation +proj=misrsom +R=6400000 +lat_1=0.5 +lat_2=2 +path=1
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 18641249.279170386 9563342.532334166
accept 2 -1
expect 19130982.461581279 9739539.593504636
accept -2 1
expect 18903483.515011538 8675064.500617975
accept -2 -1
expect 19343388.399800610 8807471.904068489
direction inverse
accept 200 100
expect 127.759505148 0.001716231
accept 200 -100
expect 127.761290324 0.001854121
accept -200 100
expect 127.759780921 -0.001854121
accept -200 -100
expect 127.761566096 -0.001716231
===============================================================================
Mollweide
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=moll +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 201113.698641813 124066.283433860
accept 2 -1
expect 201113.698641813 -124066.283433860
accept -2 1
expect -201113.698641813 124066.283433860
accept -2 -1
expect -201113.698641813 -124066.283433860
direction inverse
accept 200 100
expect 0.001988738 0.000806005
accept 200 -100
expect 0.001988738 -0.000806005
accept -200 100
expect -0.001988738 0.000806005
accept -200 -100
expect -0.001988738 -0.000806005
===============================================================================
Murdoch I
Conic, Sph
lat_1= and lat_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=murd1 +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222600.813473554 111404.244180546
accept 2 -1
expect 222770.349287864 -111234.672856675
accept -2 1
expect -222600.813473554 111404.244180546
accept -2 -1
expect -222770.349287864 -111234.672856675
direction inverse
accept 200 100
expect 0.001796255 0.000898315
accept 200 -100
expect 0.001796254 -0.000898316
accept -200 100
expect -0.001796255 0.000898315
accept -200 -100
expect -0.001796254 -0.000898316
-------------------------------------------------------------------------------
operation +proj=murd1 +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223363.845309492 111786.116032863
accept 2 -1
expect 223533.962259251 -111615.963451823
accept -2 1
expect -223363.845309492 111786.116032863
accept -2 -1
expect -223533.962259251 -111615.963451823
direction inverse
accept 200 100
expect 0.001790119 0.000895246
accept 200 -100
expect 0.001790118 -0.000895247
accept -200 100
expect -0.001790119 0.000895246
accept -200 -100
expect -0.001790118 -0.000895247
===============================================================================
Murdoch II
Conic, Sph
lat_1= and lat_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=murd2 +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222588.099751230 111426.140027412
accept 2 -1
expect 222757.726267018 -111341.431317505
accept -2 1
expect -222588.099751230 111426.140027412
accept -2 -1
expect -222757.726267018 -111341.431317505
direction inverse
accept 200 100
expect 0.001796357 0.000897887
accept 200 -100
expect 0.001796356 -0.000897888
accept -200 100
expect -0.001796357 0.000897887
accept -200 -100
expect -0.001796356 -0.000897888
-------------------------------------------------------------------------------
operation +proj=murd2 +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223351.088007027 111808.086934388
accept 2 -1
expect 223521.295969170 -111723.087859673
accept -2 1
expect -223351.088007027 111808.086934388
accept -2 -1
expect -223521.295969170 -111723.087859673
direction inverse
accept 200 100
expect 0.001790221 0.000894820
accept 200 -100
expect 0.001790220 -0.000894821
accept -200 100
expect -0.001790221 0.000894820
accept -200 -100
expect -0.001790220 -0.000894821
===============================================================================
Murdoch III
Conic, Sph
lat_1= and lat_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=murd3 +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222600.814077577 111404.246601372
accept 2 -1
expect 222770.354733899 -111234.670432178
accept -2 1
expect -222600.814077577 111404.246601372
accept -2 -1
expect -222770.354733899 -111234.670432178
direction inverse
accept 200 100
expect 0.001796255 0.000898315
accept 200 -100
expect 0.001796254 -0.000898316
accept -200 100
expect -0.001796255 0.000898315
accept -200 -100
expect -0.001796254 -0.000898316
-------------------------------------------------------------------------------
operation +proj=murd3 +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223363.845915585 111786.118461987
accept 2 -1
expect 223533.967723953 -111615.961019015
accept -2 1
expect -223363.845915585 111786.118461987
accept -2 -1
expect -223533.967723953 -111615.961019015
direction inverse
accept 200 100
expect 0.001790119 0.000895246
accept 200 -100
expect 0.001790118 -0.000895247
accept -200 100
expect -0.001790119 0.000895246
accept -200 -100
expect -0.001790118 -0.000895247
===============================================================================
Natural Earth
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=natearth +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 194507.265257889 112508.737358295
accept 2 -1
expect 194507.265257889 -112508.737358295
accept -2 1
expect -194507.265257889 112508.737358295
accept -2 -1
expect -194507.265257889 -112508.737358295
direction inverse
accept 200 100
expect 0.002056383 0.000888824
accept 200 -100
expect 0.002056383 -0.000888824
accept -200 100
expect -0.002056383 0.000888824
accept -200 -100
expect -0.002056383 -0.000888824
===============================================================================
Natural Earth 2
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=natearth2 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 189255.172934731 113022.495810907
accept 2 -1
expect 189255.172934731 -113022.495810907
accept -2 1
expect -189255.172934731 113022.495810907
accept -2 -1
expect -189255.172934731 -113022.495810907
direction inverse
accept 200 100
expect 0.002113449 0.000884780
accept 200 -100
expect 0.002113449 -0.000884780
accept -200 100
expect -0.002113449 0.000884780
accept -200 -100
expect -0.002113449 -0.000884780
===============================================================================
Nell
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=nell +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223385.132504696 111698.236447187
accept 2 -1
expect 223385.132504696 -111698.236447187
accept -2 1
expect -223385.132504696 111698.236447187
accept -2 -1
expect -223385.132504696 -111698.236447187
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Nell-Hammer
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=nell_h +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223385.131640953 111698.236533562
accept 2 -1
expect 223385.131640953 -111698.236533562
accept -2 1
expect -223385.131640953 111698.236533562
accept -2 -1
expect -223385.131640953 -111698.236533562
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Nicolosi Globular
Misc Sph, no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=nicol +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223374.561814140 111732.553988545
accept 2 -1
expect 223374.561814140 -111732.553988545
accept -2 1
expect -223374.561814140 111732.553988545
accept -2 -1
expect -223374.561814140 -111732.553988545
===============================================================================
Near-sided perspective
Azi, Sph
h=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=nsper +a=6400000 +h=1000000
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222239.816114100 111153.763991925
accept 2 -1
expect 222239.816114100 -111153.763991925
accept -2 1
expect -222239.816114100 111153.763991925
accept -2 -1
expect -222239.816114100 -111153.763991925
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
-------------------------------------------------------------------------------
Test north polar aspect
-------------------------------------------------------------------------------
operation +proj=nsper +R=1 +h=3 +lat_0=90
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 90
expect 0 0
accept 45 45
expect 0.4555 -0.4555
roundtrip 100
accept 0 0
expect failure errno tolerance_condition
direction inverse
accept 0 0
expect 0 90
accept 0 2 # projected coordinate is outside the sphere
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
Test south polar aspect
-------------------------------------------------------------------------------
operation +proj=nsper +R=1 +h=3 +lat_0=-90
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 -90
expect 0 0
accept -45 -45
expect -0.4555 0.4555
roundtrip 100
accept 0 0
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
operation +proj=nsper +R=1 +h=3 +lat_0=45
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 45
expect 0 0
accept 0 90
expect 0 0.6442
accept 0 0
expect 0 -0.6442
accept 45 45
expect 0.4767 0.1396
roundtrip 100
-------------------------------------------------------------------------------
operation +proj=nsper +R=1 +h=0
-------------------------------------------------------------------------------
expect failure errno h_less_than_zero
===============================================================================
New Zealand Map Grid
fixed Earth
===============================================================================
-------------------------------------------------------------------------------
operation +proj=nzmg +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 3352675144.747425100 -7043205391.100243600
accept 2 -1
expect 3691989502.779306400 -6729069415.332104700
accept -2 1
expect 4099000768.453238500 -7863208779.667248700
accept -2 -1
expect 4466166927.369976000 -7502531736.628604900
direction inverse
accept 200000.000000000 100000.000000000
expect 175.482086827 -69.422692183
accept 200000.000000000 -100000.000000000
expect 175.756819473 -69.533571088
accept -200000.000000000 100000.000000000
expect 134.605119233 -61.459995711
accept -200000.000000000 -100000.000000000
expect 134.333684316 -61.621553676
===============================================================================
General Oblique Transformation
Misc Sph
o_proj= plus parameters for projection
o_lat_p= o_lon_p= (new pole) or
o_alpha= o_lon_c= o_lat_c= or
o_lon_1= o_lat_1= o_lon_2= o_lat_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=ob_tran +R=6400000 +o_proj=latlon +o_lon_p=20 +o_lat_p=20 +lon_0=180
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect -2.685687214 1.237430235
accept 2 -1
expect -2.695406975 1.202683395
accept -2 1
expect -2.899366393 1.237430235
accept -2 -1
expect -2.889646631 1.202683395
direction inverse
accept 200 100
expect 121.551874841 -2.536100157
accept 200 -100
expect 63.261184340 17.585319579
accept -200 100
expect -141.100733224 26.091712305
accept -200 -100
expect -65.862385599 51.830295078
===============================================================================
Oblique Cylindrical Equal Area
Cyl, Sphlonc= alpha= or
lat_1= lat_2= lon_1= lon_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=ocea +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 19994423.837934088 223322.760576728
accept 2 -1
expect 20217962.128015257 223322.760576729
accept -2 1
expect 19994423.837934092 -223322.760576727
accept -2 -1
expect 20217962.128015265 -223322.760576725
direction inverse
accept 200 100
expect 179.999104753 0.001790493
accept 200 -100
expect -179.999104753 0.001790493
accept -200 100
expect 179.999104753 -0.001790493
accept -200 -100
expect -179.999104753 -0.001790493
===============================================================================
Oblated Equal Area
Misc Sph
n= m= theta=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=oea +a=6400000 +lat_1=0.5 +lat_2=2 +n=1 +m=2 +theta=3
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 228926.872097864 99870.488430076
accept 2 -1
expect 217242.584036940 -123247.885607475
accept -2 1
expect -217242.584036940 123247.885607475
accept -2 -1
expect -228926.872097864 -99870.488430076
direction inverse
accept 200 100
expect 0.001741186 0.000987727
accept 200 -100
expect 0.001834893 -0.000800312
accept -200 100
expect -0.001834893 0.000800312
accept -200 -100
expect -0.001741186 -0.000987727
===============================================================================
Oblique Mercator
Cyl, Sph&Ell no_rot
alpha= [gamma=] [no_off] lonc= or
lon_1= lat_1= lon_2= lat_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=omerc +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222650.796885261 110642.229314984
accept 2 -1
expect 222650.796885261 -110642.229314984
accept -2 1
expect -222650.796885262 110642.229314984
accept -2 -1
expect -222650.796885262 -110642.229314984
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
operation +proj=omerc +ellps=GRS80 +lat_1=0.5 +lat_2=2 +no_rot
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 110642.229314984 222650.796885261
accept 2 -1
expect -110642.229314984 222650.796885261
accept -2 1
expect 110642.229314984 -222650.796885262
accept -2 -1
expect -110642.229314984 -222650.796885262
direction inverse
accept 200 100
expect 0.000898315 0.001808739
accept 200 -100
expect -0.000898315 0.001808739
accept -200 100
expect 0.000898315 -0.001808739
accept -200 -100
expect -0.000898315 -0.001808739
===============================================================================
Ortelius Oval
Misc Sph, no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=ortel +a=6400000 +lat_1=0 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223374.577355253 111701.072127637
accept 2 -1
expect 223374.577355253 -111701.072127637
accept -2 1
expect -223374.577355253 111701.072127637
accept -2 -1
expect -223374.577355253 -111701.072127637
===============================================================================
Orthographic
Azi, Sph.
===============================================================================
-------------------------------------------------------------------------------
Test the equatorial aspect of the Orthopgraphic projection.
Test data from Snyder (1987), table 22, p. 151.
-------------------------------------------------------------------------------
operation +proj=ortho +R=1 +lat_0=0 +lon_0=0
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 0
expect 0 0
roundtrip 100
accept 0 90
expect 0 1
roundtrip 100
accept 0 30
expect 0 0.5000
roundtrip 100
accept 10 50
expect 0.1116 0.7660
roundtrip 100
accept 20 40
expect 0.2620 0.6428
roundtrip 100
accept 30 80
expect 0.0868 0.9848
roundtrip 100
accept 40 70
expect 0.2198 0.9397
roundtrip 100
accept 50 60
expext 0.3830 0.8660
roundtrip 100
accept 60 50
expect 0.5567 0.7660
roundtrip 100
accept 70 20
expect 0.8830 0.3420
roundtrip 100
accept 80 10
expect 0.9698 0.1736
roundtrip 100
accept 90 90
expect 0 1
roundtrip 100
accept 120 0
expect failure errno tolerance_condition
direction inverse
accept 2 2
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
Test the oblique aspect of the Orthopgraphic projection.
Test data from Snyder (1987), table 23, pp. 152-153.
-------------------------------------------------------------------------------
operation +proj=ortho +R=1 +lat_0=40 +lon_0=0
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0.0 90
expect 0.0 0.7660
roundtrip 100
accept 20 60
expect 0.1710 0.3614
roundtrip 100
accept 40 -30
expect 0.5567 -0.8095
roundtrip 100
accept 100 70
expect 0.3368 0.7580
roundtrip 100
accept 130 40
expect 0.5868 0.8089
roundtrip 100
accept 170 60
expect 0.0868 0.9799
roundtrip 100
accept 140 20
expect failure errno tolerance_condition
direction inverse
accept 2 2
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
Test the north polar aspect of the Orthopgraphic projection.
-------------------------------------------------------------------------------
operation +proj=ortho +R=1 +lat_0=90 +lon_0=0
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 0
expect 0 -1
roundtrip 100
accept 180 0
expect 0 1
roundtrip 100
accept 90 90
expect 0 0
roundtrip 100
accept 0 90
expect 0 0
roundtrip 100
accept 90 0
expect 1 0
roundtrip 100
accept 180 -90
expect failure errno tolerance_condition
accept 0 -45
expect failure errno tolerance_condition
direction inverse
accept 2 2
expect failure errno tolerance_condition
-------------------------------------------------------------------------------
Test the south polar aspect of the Orthopgraphic projection.
-------------------------------------------------------------------------------
operation +proj=ortho +R=1 +lat_0=-90 +lon_0=0
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0 0
expect 0 1
roundtrip 100
accept 180 0
expect 0 -1
roundtrip 100
accept 90 -90
expect 0 0
roundtrip 100
accept 0 -90
expect 0 0
roundtrip 100
accept 90 0
expect 1 0
roundtrip 100
accept 180 90
expect failure errno tolerance_condition
accept 0 45
expect failure errno tolerance_condition
direction inverse
accept 2 2
expect failure errno tolerance_condition
# Put a point a tiny tiny bit outside the radius of the sphere.
# Since we are right at the numerical limit of floating point representation
# it should still results in a correct coordinate.
accept 0.70710678118 0.7071067812
expect 45 0
===============================================================================
Perspective Conic
Conic, Sph
lat_1= and lat_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=pconic +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222588.098841617 111416.604770067
accept 2 -1
expect 222757.718091090 -111331.881531080
accept -2 1
expect -222588.098841617 111416.604770067
accept -2 -1
expect -222757.718091090 -111331.881531080
direction inverse
accept 200 100
expect 0.001796358 0.000897964
accept 200 -100
expect 0.001796356 -0.000897965
accept -200 100
expect -0.001796358 0.000897964
accept -200 -100
expect -0.001796356 -0.000897965
-------------------------------------------------------------------------------
operation +proj=pconic +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223351.087094295 111798.518992055
accept 2 -1
expect 223521.287765217 -111713.505338457
accept -2 1
expect -223351.087094295 111798.518992055
accept -2 -1
expect -223521.287765217 -111713.505338457
direction inverse
accept 200 100
expect 0.001790221 0.000894897
accept 200 -100
expect 0.001790220 -0.000894897
accept -200 100
expect -0.001790221 0.000894897
accept -200 -100
expect -0.001790220 -0.000894897
===============================================================================
Patterson Cylindrical
Cyl.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=patterson +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223402.144255274 113354.250397780
accept 2 -1
expect 223402.144255274 -113354.250397780
accept -2 1
expect -223402.144255274 113354.250397780
accept -2 -1
expect -223402.144255274 -113354.250397780
direction inverse
accept 200 100
expect 0.001790493 0.000882190
accept 200 -100
expect 0.001790493 -0.000882190
accept -200 100
expect -0.001790493 0.000882190
accept -200 -100
expect -0.001790493 -0.000882190
===============================================================================
Polyconic (American)
Conic, Sph&Ell
===============================================================================
-------------------------------------------------------------------------------
operation +proj=poly +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222605.285770237 110642.194561440
accept 2 -1
expect 222605.285770237 -110642.194561440
accept -2 1
expect -222605.285770237 110642.194561440
accept -2 -1
expect -222605.285770237 -110642.194561440
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
operation +proj=poly +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223368.105210219 111769.110491225
accept 2 -1
expect 223368.105210219 -111769.110491225
accept -2 1
expect -223368.105210219 111769.110491225
accept -2 -1
expect -223368.105210219 -111769.110491225
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Putnins P1
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=putp1 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 211642.762754160 105831.180787330
accept 2 -1
expect 211642.762754160 -105831.180787330
accept -2 1
expect -211642.762754160 105831.180787330
accept -2 -1
expect -211642.762754160 -105831.180787330
direction inverse
accept 200 100
expect 0.001889802 0.000944901
accept 200 -100
expect 0.001889802 -0.000944901
accept -200 100
expect -0.001889802 0.000944901
accept -200 -100
expect -0.001889802 -0.000944901
===============================================================================
Putnins P2
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=putp2 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 211638.039634339 117895.033043380
accept 2 -1
expect 211638.039634339 -117895.033043380
accept -2 1
expect -211638.039634339 117895.033043380
accept -2 -1
expect -211638.039634339 -117895.033043380
direction inverse
accept 200 100
expect 0.001889802 0.000848202
accept 200 -100
expect 0.001889802 -0.000848202
accept -200 100
expect -0.001889802 0.000848202
accept -200 -100
expect -0.001889802 -0.000848202
===============================================================================
Putnins P3
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=putp3 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 178227.115507794 89124.560786088
accept 2 -1
expect 178227.115507794 -89124.560786088
accept -2 1
expect -178227.115507794 89124.560786088
accept -2 -1
expect -178227.115507794 -89124.560786088
direction inverse
accept 200 100
expect 0.002244050 0.001122025
accept 200 -100
expect 0.002244050 -0.001122025
accept -200 100
expect -0.002244050 0.001122025
accept -200 -100
expect -0.002244050 -0.001122025
===============================================================================
Putnins P3'
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=putp3p +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 178238.118539985 89124.560786088
accept 2 -1
expect 178238.118539985 -89124.560786088
accept -2 1
expect -178238.118539985 89124.560786088
accept -2 -1
expect -178238.118539985 -89124.560786088
direction inverse
accept 200 100
expect 0.002244050 0.001122025
accept 200 -100
expect 0.002244050 -0.001122025
accept -200 100
expect -0.002244050 0.001122025
accept -200 -100
expect -0.002244050 -0.001122025
===============================================================================
Putnins P4'
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=putp4p +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 195241.477349386 127796.782307926
accept 2 -1
expect 195241.477349386 -127796.782307926
accept -2 1
expect -195241.477349386 127796.782307926
accept -2 -1
expect -195241.477349386 -127796.782307926
direction inverse
accept 200 100
expect 0.002048528 0.000782480
accept 200 -100
expect 0.002048528 -0.000782480
accept -200 100
expect -0.002048528 0.000782480
accept -200 -100
expect -0.002048528 -0.000782480
===============================================================================
Putnins P5
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=putp5 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 226367.213380562 113204.568558475
accept 2 -1
expect 226367.213380562 -113204.568558475
accept -2 1
expect -226367.213380562 113204.568558475
accept -2 -1
expect -226367.213380562 -113204.568558475
direction inverse
accept 200 100
expect 0.001766713 0.000883357
accept 200 -100
expect 0.001766713 -0.000883357
accept -200 100
expect -0.001766713 0.000883357
accept -200 -100
expect -0.001766713 -0.000883357
===============================================================================
Putnins P5'
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=putp5p +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 226388.175248756 113204.568558475
accept 2 -1
expect 226388.175248756 -113204.568558475
accept -2 1
expect -226388.175248756 113204.568558475
accept -2 -1
expect -226388.175248756 -113204.568558475
direction inverse
accept 200 100
expect 0.001766713 0.000883357
accept 200 -100
expect 0.001766713 -0.000883357
accept -200 100
expect -0.001766713 0.000883357
accept -200 -100
expect -0.001766713 -0.000883357
===============================================================================
Putnins P6
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=putp6 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 226369.395133403 110218.523796521
accept 2 -1
expect 226369.395133403 -110218.523796521
accept -2 1
expect -226369.395133403 110218.523796521
accept -2 -1
expect -226369.395133403 -110218.523796521
direction inverse
accept 200 100
expect 0.001766713 0.000907296
accept 200 -100
expect 0.001766713 -0.000907296
accept -200 100
expect -0.001766713 0.000907296
accept -200 -100
expect -0.001766713 -0.000907296
===============================================================================
Putnins P6'
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=putp6p +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 198034.195132195 125989.475461323
accept 2 -1
expect 198034.195132195 -125989.475461323
accept -2 1
expect -198034.195132195 125989.475461323
accept -2 -1
expect -198034.195132195 -125989.475461323
direction inverse
accept 200 100
expect 0.002019551 0.000793716
accept 200 -100
expect 0.002019551 -0.000793716
accept -200 100
expect -0.002019551 0.000793716
accept -200 -100
expect -0.002019551 -0.000793716
===============================================================================
Quartic Authalic
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=qua_aut +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222613.549033097 111318.077887984
accept 2 -1
expect 222613.549033097 -111318.077887984
accept -2 1
expect -222613.549033097 111318.077887984
accept -2 -1
expect -222613.549033097 -111318.077887984
direction inverse
accept 200 100
expect 0.001796631 0.000898315
accept 200 -100
expect 0.001796631 -0.000898315
accept -200 100
expect -0.001796631 0.000898315
accept -200 -100
expect -0.001796631 -0.000898315
-------------------------------------------------------------------------------
operation +proj=qua_aut +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223376.624524029 111699.654379186
accept 2 -1
expect 223376.624524029 -111699.654379186
accept -2 1
expect -223376.624524029 111699.654379186
accept -2 -1
expect -223376.624524029 -111699.654379186
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Quadrilateralized Spherical Cube
Azi, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=qsc +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 304638.450843852 164123.870923794
accept 2 -1
expect 304638.450843852 -164123.870923794
accept -2 1
expect -304638.450843852 164123.870923794
accept -2 -1
expect -304638.450843852 -164123.870923794
direction inverse
accept 200 100
expect 0.001321341 0.000610653
accept 200 -100
expect 0.001321341 -0.000610653
accept -200 100
expect -0.001321341 0.000610653
accept -200 -100
expect -0.001321341 -0.000610653
-------------------------------------------------------------------------------
operation +proj=qsc +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 305863.792402891 165827.722754715
accept 2 -1
expect 305863.792402891 -165827.722754715
accept -2 1
expect -305863.792402891 165827.722754715
accept -2 -1
expect -305863.792402891 -165827.722754715
direction inverse
accept 200 100
expect 0.001316827 0.000604493
accept 200 -100
expect 0.001316827 -0.000604493
accept -200 100
expect -0.001316827 0.000604493
accept -200 -100
expect -0.001316827 -0.000604493
===============================================================================
Robinson
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=robin +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 189588.423282508 107318.530350703
accept 2 -1
expect 189588.423282508 -107318.530350703
accept -2 1
expect -189588.423282508 107318.530350703
accept -2 -1
expect -189588.423282508 -107318.530350703
direction inverse
accept 200 100
expect 0.002109689 0.000931806
accept 200 -100
expect 0.002109689 -0.000931806
accept -200 100
expect -0.002109689 0.000931806
accept -200 -100
expect -0.002109689 -0.000931806
===============================================================================
Roussilhe Stereographic
Azi., Ellps.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=rouss +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222644.894131617 110611.091868370
accept 2 -1
expect 222644.894131617 -110611.091868370
accept -2 1
expect -222644.894131617 110611.091868370
accept -2 -1
expect -222644.894131617 -110611.091868370
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
===============================================================================
Rectangular Polyconic
Conic, Sph., no inv.
lat_ts=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=rpoly +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223368.098302014 111769.110486991
accept 2 -1
expect 223368.098302014 -111769.110486991
accept -2 1
expect -223368.098302014 111769.110486991
accept -2 -1
expect -223368.098302014 -111769.110486991
===============================================================================
Sinusoidal (Sanson-Flamsteed)
PCyl, Sph&Ell
===============================================================================
-------------------------------------------------------------------------------
operation +proj=sinu +ellps=GRS80 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222605.299539466 110574.388554153
accept 2 -1
expect 222605.299539466 -110574.388554153
accept -2 1
expect -222605.299539466 110574.388554153
accept -2 -1
expect -222605.299539466 -110574.388554153
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
operation +proj=sinu +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223368.119026632 111701.072127637
accept 2 -1
expect 223368.119026632 -111701.072127637
accept -2 1
expect -223368.119026632 111701.072127637
accept -2 -1
expect -223368.119026632 -111701.072127637
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Swiss. Obl. Mercator
Cyl, Ell
For CH1903
===============================================================================
-------------------------------------------------------------------------------
operation +proj=somerc +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222638.981586547 110579.965218249
accept 2 -1
expect 222638.981586547 -110579.965218251
accept -2 1
expect -222638.981586547 110579.965218249
accept -2 -1
expect -222638.981586547 -110579.965218251
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
operation +proj=somerc +R=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223402.144255274 111706.743574944
accept 2 -1
expect 223402.144255274 -111706.743574945
accept -2 1
expect -223402.144255274 111706.743574944
accept -2 -1
expect -223402.144255274 -111706.743574945
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Stereographic
Azi, Sph&Ell
lat_ts=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=stere +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222644.854550117 110610.883474174
accept 2 -1
expect 222644.854550117 -110610.883474174
accept -2 1
expect -222644.854550117 110610.883474174
accept -2 -1
expect -222644.854550117 -110610.883474174
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
operation +proj=stere +R=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223407.810259507 111737.938996443
accept 2 -1
expect 223407.810259507 -111737.938996443
accept -2 1
expect -223407.810259507 111737.938996443
accept -2 -1
expect -223407.810259507 -111737.938996443
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Oblique Stereographic Alternative
Azimuthal, Sph&Ell
===============================================================================
-------------------------------------------------------------------------------
operation +proj=sterea +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222644.894109198 110611.091871737
accept 2 -1
expect 222644.894109198 -110611.091871738
accept -2 1
expect -222644.894109198 110611.091871737
accept -2 -1
expect -222644.894109198 -110611.091871738
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
operation +proj=sterea +R=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223407.810259507 111737.938996443
accept 2 -1
expect 223407.810259507 -111737.938996443
accept -2 1
expect -223407.810259507 111737.938996443
accept -2 -1
expect -223407.810259507 -111737.938996443
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Gauss-Schreiber Transverse Mercator (aka Gauss-Laborde Reunion)
Cyl, Sph&Ell
lat_0= lon_0= k_0=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=gstmerc +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223413.466406322 111769.145040586
accept 2 -1
expect 223413.466406322 -111769.145040587
accept -2 1
expect -223413.466406323 111769.145040586
accept -2 -1
expect -223413.466406323 -111769.145040587
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Transverse Central Cylindrical
Cyl, Sph, no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=tcc +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223458.844192458 111769.145040586
accept 2 -1
expect 223458.844192458 -111769.145040586
accept -2 1
expect -223458.844192458 111769.145040586
accept -2 -1
expect -223458.844192458 -111769.145040586
===============================================================================
Transverse Cylindrical Equal Area
Cyl, Sph
===============================================================================
-------------------------------------------------------------------------------
operation +proj=tcea +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223322.760576727 111769.145040586
accept 2 -1
expect 223322.760576727 -111769.145040586
accept -2 1
expect -223322.760576727 111769.145040586
accept -2 -1
expect -223322.760576727 -111769.145040586
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Times
Cyl, Sph
===============================================================================
-------------------------------------------------------------------------------
operation +proj=times +ellps=sphere
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 0.000000000 0.000000000
expect 0.000000000 0.000000000
accept 80.000000000 70.000000000
expect 5785183.576067096 7615452.066120422
accept 25.000000000 -10.000000000
expect 2065971.530107881 -951526.064849459
accept -35.000000000 20.000000000
expect -2873054.045485095 1917730.953000521
accept -45.000000000 -30.000000000
expect -3651383.203521487 -2914213.457815921
direction inverse
accept 0.000000000 0.000000000
expect 0.000000000 0.000000000
accept 5785183.576067096 7615452.066120422
expect 80.000000000 70.000000000
accept 2065971.530107881 -951526.064849459
expect 25.000000000 -10.000000000
accept -2873054.045485095 1917730.953000521
expect -35.000000000 20.000000000
accept -3651383.203521487 -2914213.457815921
expect -45.000000000 -30.000000000
===============================================================================
Tissot
Conic, Sph
lat_1= and lat_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=tissot +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222641.078699631 54347.828487281
accept 2 -1
expect 222810.614513941 -168291.088549939
accept -2 1
expect -222641.078699631 54347.828487281
accept -2 -1
expect -222810.614513941 -168291.088549939
direction inverse
accept 200 100
expect 0.001796281 0.513444955
accept 200 -100
expect 0.001796279 0.511648325
accept -200 100
expect -0.001796281 0.513444955
accept -200 -100
expect -0.001796279 0.511648325
-------------------------------------------------------------------------------
operation +proj=tissot +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223404.248556849 54534.122161158
accept 2 -1
expect 223574.365506608 -168867.957323528
accept -2 1
expect -223404.248556849 54534.122161158
accept -2 -1
expect -223574.365506608 -168867.957323528
direction inverse
accept 200 100
expect 0.001790144 0.513441886
accept 200 -100
expect 0.001790143 0.511651393
accept -200 100
expect -0.001790144 0.513441886
accept -200 -100
expect -0.001790143 0.511651393
===============================================================================
Transverse Mercator
Cyl, Sph&Ell
===============================================================================
-------------------------------------------------------------------------------
operation +proj=tmerc +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222650.796795778 110642.229411927
accept 2 -1
expect 222650.796795778 -110642.229411927
accept -2 1
expect -222650.796795778 110642.229411927
accept -2 -1
expect -222650.796795778 -110642.229411927
direction inverse
accept 200 100
expect 0.001796631 0.000904369
accept 200 -100
expect 0.001796631 -0.000904369
accept -200 100
expect -0.001796631 0.000904369
accept -200 -100
expect -0.001796631 -0.000904369
-------------------------------------------------------------------------------
operation +proj=tmerc +R=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223413.466406322 111769.145040597
accept 2 -1
expect 223413.466406322 -111769.145040597
accept -2 1
expect -223413.466406322 111769.145040597
accept -2 -1
expect -223413.466406322 -111769.145040597
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Two Point Equidistant
Misc Sph
lat_1= lon_1= lat_2= lon_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=tpeqd +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.15 mm
accept 2 1
expect -27750.758831679 -222599.403691777
accept 2 -1
expect -250434.937024036 -222655.938193266
accept -2 1
expect -27750.758831679 222599.403691777
accept -2 -1
expect -250434.937024036 222655.938193266
direction inverse
accept 200 100
expect -0.000898556 1.251796630
accept 200 -100
expect 0.000898556 1.251796630
accept -200 100
expect -0.000898554 1.248203369
accept -200 -100
expect 0.000898554 1.248203369
-------------------------------------------------------------------------------
operation +proj=tpeqd +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect -27845.882978485 -223362.430695260
accept 2 -1
expect -251293.378764651 -223419.158985908
accept -2 1
expect -27845.882978485 223362.430695260
accept -2 -1
expect -251293.378764651 223419.158985908
direction inverse
accept 200 100
expect -0.000895486 1.251790493
accept 200 -100
expect 0.000895486 1.251790493
accept -200 100
expect -0.000895485 1.248209507
accept -200 -100
expect 0.000895485 1.248209507
===============================================================================
Tilted perspective
Azi, Sph
tilt= azi= h=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=tpers +a=6400000 +h=1000000 +azi=20
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 170820.288955531 180460.865555805
accept 2 -1
expect 246853.941538942 -28439.878035775
accept -2 1
expect -246853.941538942 28439.878035775
accept -2 -1
expect -170820.288955531 -180460.865555805
direction inverse
accept 200 100
expect 0.001988706 0.000228872
accept 200 -100
expect 0.001376321 -0.001453641
accept -200 100
expect -0.001376321 0.001453641
accept -200 -100
expect -0.001988706 -0.000228872
-------------------------------------------------------------------------------
operation +proj=tpers +a=6400000 +h=1000000 +tilt=20
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 213598.340357101 113687.930830744
accept 2 -1
expect 231609.982792523 -123274.645577324
accept -2 1
expect -213598.340357101 113687.930830744
accept -2 -1
expect -231609.982792523 -123274.645577324
direction inverse
accept 200 100
expect 0.001790554 0.000841285
accept 200 -100
expect 0.001790432 -0.000841228
accept -200 100
expect -0.001790554 0.000841285
accept -200 -100
expect -0.001790432 -0.000841228
===============================================================================
Universal Polar Stereographic
Azi, Sph&Ell
south
===============================================================================
-------------------------------------------------------------------------------
operation +proj=ups +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 2433455.563438467 -10412543.301512826
accept 2 -1
expect 2448749.118568199 -10850493.419804076
accept -2 1
expect 1566544.436561533 -10412543.301512826
accept -2 -1
expect 1551250.881431801 -10850493.419804076
direction inverse
accept 200 100
expect -44.998567498 64.918236287
accept 200 -100
expect -44.995702709 64.917020251
accept -200 100
expect -45.004297076 64.915804281
accept -200 -100
expect -45.001432287 64.914588378
===============================================================================
Urmaev V
PCyl., Sph., no inv.
n= q= alpha=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=urm5 +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223393.638433964 111696.818785117
accept 2 -1
expect 223393.638433964 -111696.818785117
accept -2 1
expect -223393.638433964 111696.818785117
accept -2 -1
expect -223393.638433964 -111696.818785117
===============================================================================
Urmaev Flat-Polar Sinusoidal
PCyl, Sph.
n=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=urmfps +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 196001.708134192 127306.843329993
accept 2 -1
expect 196001.708134192 -127306.843329993
accept -2 1
expect -196001.708134192 127306.843329993
accept -2 -1
expect -196001.708134192 -127306.843329993
direction inverse
accept 200 100
expect 0.002040721 0.000785474
accept 200 -100
expect 0.002040721 -0.000785474
accept -200 100
expect -0.002040721 0.000785474
accept -200 -100
expect -0.002040721 -0.000785474
===============================================================================
Universal Transverse Mercator (UTM)
Cyl, Sph
zone= south
===============================================================================
-------------------------------------------------------------------------------
operation +proj=utm +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5 +zone=30
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 1057002.405491298 110955.141175949
accept 2 -1
expect 1057002.405491298 -110955.141175949
accept -2 1
expect 611263.812278905 110547.105696804
accept -2 -1
expect 611263.812278905 -110547.105696804
direction inverse
accept 200 100
expect -7.486952083 0.000901940
accept 200 -100
expect -7.486952083 -0.000901940
accept -200 100
expect -7.490535682 0.000901935
accept -200 -100
expect -7.490535682 -0.000901935
===============================================================================
van der Grinten (I)
Misc Sph
===============================================================================
-------------------------------------------------------------------------------
operation +proj=vandg +a=6400000 +lat_1=0.5 +lat_2=2 +no_defs
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223395.249543407 111704.596633675
rem 223395.249543407 111704.596633675 osgeo
rem 223395.249543407 111704.596633675 debug/bin
accept 2 -1
expect 223395.249543407 -111704.596633675
accept -2 1
expect -223395.249543407 111704.596633675
accept -2 -1
expect -223395.249543407 -111704.596633675
direction inverse
accept 200 100
expect 0.001790494 0.000895247
accept 200 -100
expect 0.001790494 -0.000895247
accept -200 100
expect -0.001790494 0.000895247
accept -200 -100
expect -0.001790494 -0.000895247
===============================================================================
van der Grinten II
Misc Sph, no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=vandg2 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.5 mm
accept 2 1
expect 223395.247850437 111718.491037226
accept 2 -1
expect 223395.247850437 -111718.491037226
accept -2 1
expect -223395.247850437 111718.491037226
accept -2 -1
expect -223395.247850437 -111718.491037226
===============================================================================
van der Grinten III
Misc Sph, no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=vandg3 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223395.249552831 111704.519904421
accept 2 -1
expect 223395.249552831 -111704.519904421
accept -2 1
expect -223395.249552831 111704.519904421
accept -2 -1
expect -223395.249552831 -111704.519904421
===============================================================================
van der Grinten IV
Misc Sph, no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=vandg4 +R=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223374.577294355 111701.195484154
accept 2 -1
expect 223374.577294355 -111701.195484154
accept -2 1
expect -223374.577294355 111701.195484154
accept -2 -1
expect -223374.577294355 -111701.195484154
===============================================================================
Vitkovsky I
Conic, Sph
lat_1= and lat_2=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=vitk1 +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 222607.171211458 111404.251442435
accept 2 -1
expect 222776.716709598 -111234.665587445
accept -2 1
expect -222607.171211458 111404.251442435
accept -2 -1
expect -222776.716709598 -111234.665587445
direction inverse
accept 200 100
expect 0.001796204 0.000898315
accept 200 -100
expect 0.001796202 -0.000898316
accept -200 100
expect -0.001796204 0.000898315
accept -200 -100
expect -0.001796202 -0.000898316
-------------------------------------------------------------------------------
operation +proj=vitk1 +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223370.224840471 111786.123319644
accept 2 -1
expect 223540.351507255 -111615.956157675
accept -2 1
expect -223370.224840471 111786.123319644
accept -2 -1
expect -223540.351507255 -111615.956157675
direction inverse
accept 200 100
expect 0.001790068 0.000895246
accept 200 -100
expect 0.001790066 -0.000895247
accept -200 100
expect -0.001790068 0.000895246
accept -200 -100
expect -0.001790066 -0.000895247
===============================================================================
Wagner I (Kavraisky VI)
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=wag1 +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 195986.781561158 127310.075060660
accept 2 -1
expect 195986.781561158 -127310.075060660
accept -2 1
expect -195986.781561158 127310.075060660
accept -2 -1
expect -195986.781561158 -127310.075060660
direction inverse
accept 200 100
expect 0.002040721 0.000785474
accept 200 -100
expect 0.002040721 -0.000785474
accept -200 100
expect -0.002040721 0.000785474
accept -200 -100
expect -0.002040721 -0.000785474
===============================================================================
Wagner II
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=wag2 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 206589.888099962 120778.040357547
accept 2 -1
expect 206589.888099962 -120778.040357547
accept -2 1
expect -206589.888099962 120778.040357547
accept -2 -1
expect -206589.888099962 -120778.040357547
direction inverse
accept 200 100
expect 0.001936024 0.000827958
accept 200 -100
expect 0.001936024 -0.000827958
accept -200 100
expect -0.001936024 0.000827958
accept -200 -100
expect -0.001936024 -0.000827958
===============================================================================
Wagner III
PCyl., Sph.
lat_ts=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=wag3 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223387.021718166 111701.072127637
accept 2 -1
expect 223387.021718166 -111701.072127637
accept -2 1
expect -223387.021718166 111701.072127637
accept -2 -1
expect -223387.021718166 -111701.072127637
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Wagner IV
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=wag4 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 192801.218662384 129416.216394803
accept 2 -1
expect 192801.218662384 -129416.216394803
accept -2 1
expect -192801.218662384 129416.216394803
accept -2 -1
expect -192801.218662384 -129416.216394803
direction inverse
accept 200 100
expect 0.002074503 0.000772683
accept 200 -100
expect 0.002074503 -0.000772683
accept -200 100
expect -0.002074503 0.000772683
accept -200 -100
expect -0.002074503 -0.000772683
===============================================================================
Wagner V
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=wag5 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 203227.051925325 138651.631442713
accept 2 -1
expect 203227.051925325 -138651.631442713
accept -2 1
expect -203227.051925325 138651.631442713
accept -2 -1
expect -203227.051925325 -138651.631442713
direction inverse
accept 200 100
expect 0.001968072 0.000721216
accept 200 -100
expect 0.001968072 -0.000721216
accept -200 100
expect -0.001968072 0.000721216
accept -200 -100
expect -0.001968072 -0.000721216
===============================================================================
Wagner VI
PCyl, Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=wag6 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 211652.562164410 105831.180787330
accept 2 -1
expect 211652.562164410 -105831.180787330
accept -2 1
expect -211652.562164410 105831.180787330
accept -2 -1
expect -211652.562164410 -105831.180787330
direction inverse
accept 200 100
expect 0.001889802 0.000944901
accept 200 -100
expect 0.001889802 -0.000944901
accept -200 100
expect -0.001889802 0.000944901
accept -200 -100
expect -0.001889802 -0.000944901
===============================================================================
Wagner VII
Misc Sph, no inv.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=wag7 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 198601.876957312 125637.045714171
accept 2 -1
expect 198601.876957312 -125637.045714171
accept -2 1
expect -198601.876957312 125637.045714171
accept -2 -1
expect -198601.876957312 -125637.045714171
===============================================================================
Werenskiold I
PCyl., Sph.
===============================================================================
-------------------------------------------------------------------------------
operation +proj=weren +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223378.515757634 146214.093042288
accept 2 -1
expect 223378.515757634 -146214.093042288
accept -2 1
expect -223378.515757634 146214.093042288
accept -2 -1
expect -223378.515757634 -146214.093042288
direction inverse
accept 200 100
expect 0.001790493 0.000683918
accept 200 -100
expect 0.001790493 -0.000683918
accept -200 100
expect -0.001790493 0.000683918
accept -200 -100
expect -0.001790493 -0.000683918
===============================================================================
Winkel I
PCyl., Sph.
lat_ts=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=wink1 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223385.131640953 111701.072127637
accept 2 -1
expect 223385.131640953 -111701.072127637
accept -2 1
expect -223385.131640953 111701.072127637
accept -2 -1
expect -223385.131640953 -111701.072127637
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
===============================================================================
Winkel II
PCyl., Sph., no inv.
lat_1=
===============================================================================
-------------------------------------------------------------------------------
operation +proj=wink2 +a=6400000 +lat_1=0.5 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223387.396433786 124752.032797445
accept 2 -1
expect 223387.396433786 -124752.032797445
accept -2 1
expect -223387.396433786 124752.032797445
accept -2 -1
expect -223387.396433786 -124752.032797445
===============================================================================
Winkel Tripel
Misc Sph
lat_1
===============================================================================
-------------------------------------------------------------------------------
operation +proj=wintri +a=6400000 +lat_1=0 +lat_2=2
-------------------------------------------------------------------------------
tolerance 0.1 mm
accept 2 1
expect 223390.801533485 111703.907505745
accept 2 -1
expect 223390.801533485 -111703.907505745
accept -2 1
expect -223390.801533485 111703.907505745
accept -2 -1
expect -223390.801533485 -111703.907505745
direction inverse
accept 200 100
expect 0.001790493 0.000895247
accept 200 -100
expect 0.001790493 -0.000895247
accept -200 100
expect -0.001790493 0.000895247
accept -200 -100
expect -0.001790493 -0.000895247
</gie>