Test material for the cs2cs emulation in the 4D API.

The GIGS tests that are known to work are added to the CMake test
setup. The GIGS gie files have been auto-translated from the
existing json-files and some corrections to tolerances have been
necessary since gie uses different norms than GIGS specify. The GIGS
tolerances are specified as the infinity norm of angular coordinates,
whereas gie uses the actual distances between calculated and expected
coordinates (using geodesics). In a few tests +towgs84 is overriden
from the EPSG inits to avoid creeping numerical inaccuracy in
roundtrips.

Co-authored-by: Thomas Knudsen <thokn@sdfe.dk>
Co-authored-by: Kristian Evers <kristianevers@gmail.com>

6 files changed, 188 insertions, 214 deletions

diff --git a/test/gigs/5103.1.gie b/test/gigs/5103.1.gie
index f00ed019..c972b738 100644
--- a/test/gigs/5103.1.gie
+++ b/test/gigs/5103.1.gie
@@ -10,254 +10,201 @@ Test 5103 (part 1), Lambert Conic Conformal (2SP), v2-0_2011-06-28.
 operation  +proj=pipeline
            +step +init=epsg:4313 +inv
            +step +init=epsg:31370
+
+tolerance  30 mm
 --------------------------------------------------------------------------------
-tolerance  0.03 m
 accept    5 58
 expect    187742.7 969521.653
 
-tolerance  0.03 m
 accept    5 57
 expect    188698.877 857277.135
 
-tolerance  0.03 m
 accept    5 56
 expect    189652.853 745291.184
 
-tolerance  0.03 m
 accept    5 55
 expect    190604.967 633523.672
 
-tolerance  0.03 m
 accept    5 54
 expect    191555.55 521935.9
 
-tolerance  0.03 m
 accept    5 53
 expect    192504.921 410490.433
 
-tolerance  0.03 m
 accept    5.3876389 52.1561606
 expect    219843.841 316827.604
 
-tolerance  0.03 m
 accept    4 51
 expect    124202.936 187756.876
 
-tolerance  0.03 m
 accept    4 50
 expect    123652.406 76521.628
 
-tolerance  0.03 m
 accept    4 49
 expect    123101.889 -34711.068
 
-tolerance  0.03 m
 accept    3.3137281 47.9752611
 expect    71254.553 -148236.592
 
-tolerance  0.03 m
 accept    3 53
 expect    58108.966 411155.591
 
-tolerance  0.03 m
 accept    4 53
 expect    125304.704 410370.504
 
-tolerance  0.03 m
 accept    5 53
 expect    192504.921 410490.433
 
-tolerance  0.03 m
 accept    6 53
 expect    259697.429 411515.356
 
-tolerance  0.03 m
 accept    7 53
 expect    326870.04 413445.087
 
-tolerance  0.03 m
 accept    8 53
 expect    394010.571 416279.276
 
-tolerance  0.03 m
 accept    9 53
 expect    461106.844 420017.408
 
-tolerance  0.03 m
 accept    10 53
 expect    528146.69 424658.807
 
-tolerance  0.03 m
 accept    11 53
 expect    595117.95 430202.63
 
+
 --------------------------------------------------------------------------------
-operation  +proj=pipeline
-           +step +init=epsg:31370 +inv
-           +step +init=epsg:4313
+operation  proj=pipeline
+           step init=epsg:31370 inv
+           step init=epsg:4313
+
+tolerance  30 mm
 --------------------------------------------------------------------------------
-tolerance  0.03 m
 accept    187742.7 969521.653
 expect    5 58
 
-tolerance  0.03 m
 accept    188698.877 857277.135
 expect    5 57
 
-tolerance  0.03 m
 accept    189652.853 745291.184
 expect    5 56
 
-tolerance  0.03 m
 accept    190604.967 633523.672
 expect    5 55
 
-tolerance  0.03 m
 accept    191555.55 521935.9
 expect    5 54
 
-tolerance  0.03 m
 accept    192504.921 410490.433
 expect    5 53
 
-tolerance  0.03 m
 accept    219843.841 316827.604
 expect    5.3876389 52.1561606
 
-tolerance  0.03 m
 accept    124202.936 187756.876
 expect    4 51
 
-tolerance  0.03 m
 accept    123652.406 76521.628
 expect    4 50
 
-tolerance  0.03 m
 accept    123101.889 -34711.068
 expect    4 49
 
-tolerance  0.03 m
 accept    71254.553 -148236.592
 expect    3.3137281 47.9752611
 
-tolerance  0.03 m
 accept    58108.966 411155.591
 expect    3 53
 
-tolerance  0.03 m
 accept    125304.704 410370.504
 expect    4 53
 
-tolerance  0.03 m
 accept    192504.921 410490.433
 expect    5 53
 
-tolerance  0.03 m
 accept    259697.429 411515.356
 expect    6 53
 
-tolerance  0.03 m
 accept    326870.04 413445.087
 expect    7 53
 
-tolerance  0.03 m
 accept    394010.571 416279.276
 expect    8 53
 
-tolerance  0.03 m
 accept    461106.844 420017.408
 expect    9 53
 
-tolerance  0.03 m
 accept    528146.69 424658.807
 expect    10 53
 
-tolerance  0.03 m
 accept    595117.95 430202.63
 expect    11 53
 
 --------------------------------------------------------------------------------
-operation  +proj=pipeline
+operation  +proj=pipeline   towgs84=0,0,0   # turn off dual datum shift
            +step +init=epsg:4313 +inv
            +step +init=epsg:31370
+
+tolerance  6 mm
 --------------------------------------------------------------------------------
-tolerance  0.006 m
 accept    5 58
 roundtrip 1000
 
-tolerance  0.006 m
 accept    5 57
 roundtrip 1000
 
-tolerance  0.006 m
 accept    5 56
 roundtrip 1000
 
-tolerance  0.006 m
 accept    5 55
 roundtrip 1000
 
-tolerance  0.006 m
 accept    5 54
 roundtrip 1000
 
-tolerance  0.006 m
 accept    5 53
 roundtrip 1000
 
-tolerance  0.006 m
 accept    5.3876389 52.1561606
 roundtrip 1000
 
-tolerance  0.006 m
 accept    4 51
 roundtrip 1000
 
-tolerance  0.006 m
 accept    4 50
 roundtrip 1000
 
-tolerance  0.006 m
 accept    4 49
 roundtrip 1000
 
-tolerance  0.006 m
 accept    3.3137281 47.9752611
 roundtrip 1000
 
-tolerance  0.006 m
 accept    3 53
 roundtrip 1000
 
-tolerance  0.006 m
 accept    4 53
 roundtrip 1000
 
-tolerance  0.006 m
 accept    5 53
 roundtrip 1000
 
-tolerance  0.006 m
 accept    6 53
 roundtrip 1000
 
-tolerance  0.006 m
 accept    7 53
 roundtrip 1000
 
-tolerance  0.006 m
 accept    8 53
 roundtrip 1000
 
-tolerance  0.006 m
 accept    9 53
 roundtrip 1000
 
-tolerance  0.006 m
 accept    10 53
 roundtrip 1000
 
-tolerance  0.006 m
 accept    11 53
 roundtrip 1000
 
diff --git a/test/gigs/5110.gie b/test/gigs/5110.gie
index 031dfac9..2d26d1ab 100644
--- a/test/gigs/5110.gie
+++ b/test/gigs/5110.gie
@@ -4,6 +4,14 @@ Test 5110, Lambert Azimuthal Equal Area, v2-0_2011-06-28.
 
 --------------------------------------------------------------------------------
 
+# ETRS89
+<4258> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs  <>
+
+# ETRS89 / LAEA Europe
+<3035> +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000
+       +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs  <>
+
+
 <gie>
 
 --------------------------------------------------------------------------------
diff --git a/test/gigs/5111.1.gie b/test/gigs/5111.1.gie
index 2517b185..335e1d68 100644
--- a/test/gigs/5111.1.gie
+++ b/test/gigs/5111.1.gie
@@ -4,10 +4,16 @@ Test 5111 (part 1), Mercator (variant A), v2-0_2011-06-28.
 
 --------------------------------------------------------------------------------
 
+# Batavia
+<4211> +proj=longlat +ellps=bessel +towgs84=-377,681,-50,0,0,0,0 +no_defs  <>
+# Batavia / NEIEZ
+<3001> +proj=merc +lon_0=110 +k=0.997 +x_0=3900000 +y_0=900000 +ellps=bessel +towgs84=-377,681,-50,0,0,0,0 +units=m +no_defs  <>
+
+
 <gie>
 
 --------------------------------------------------------------------------------
-operation  +proj=pipeline
+operation  +proj=pipeline towgs84=0,0,0
            +step +init=epsg:4211 +inv
            +step +init=epsg:3001
 --------------------------------------------------------------------------------
@@ -152,7 +158,7 @@ accept    -69.0 -2.0
 expect    -15964105.84 679490.65
 
 --------------------------------------------------------------------------------
-operation  +proj=pipeline
+operation  +proj=pipeline towgs84=0,0,0
            +step +init=epsg:3001 +inv
            +step +init=epsg:4211
 --------------------------------------------------------------------------------
@@ -297,7 +303,7 @@ accept    -15964105.84 679490.65
 expect    -69.0 -2.0
 
 --------------------------------------------------------------------------------
-operation  +proj=pipeline
+operation  +proj=pipeline towgs84=0,0,0
            +step +init=epsg:4211 +inv
            +step +init=epsg:3001
 --------------------------------------------------------------------------------
diff --git a/test/gigs/5112.gie b/test/gigs/5112.gie
index 3c4bb367..207632d2 100644
--- a/test/gigs/5112.gie
+++ b/test/gigs/5112.gie
@@ -7,77 +7,68 @@ Test 5112, Mercator (variant B),  v2-0_2011-06-28.
 <gie>
 
 --------------------------------------------------------------------------------
-operation  +proj=pipeline
-           +step +init=epsg:4284 +inv
-           +step +init=epsg:3388
+operation  proj=pipeline
+           step init=epsg:4284 inv
+           step init=epsg:3388
+
+tolerance 50 mm
 --------------------------------------------------------------------------------
-tolerance  0.05 m
 accept    51.0 42.0
 expect    0.0 3819897.85
 
-tolerance  0.05 m
 accept    51.0 0.0
 expect    0.0 0.0
 
-tolerance  0.05 m
 accept    57.0 0.0
 expect    497112.88 0.0
 
-tolerance  0.05 m
 accept    54.0 20.5
 expect    248556.44 1724781.5
 
-tolerance  0.05 m
 accept    67.0 -41.0
 expect    1325634.35 -3709687.25
 
 --------------------------------------------------------------------------------
-operation  +proj=pipeline
-           +step +init=epsg:3388 +inv
-           +step +init=epsg:4284
+operation  proj=pipeline
+           step init=epsg:3388 inv
+           step init=epsg:4284
+
+tolerance 50 mm
 --------------------------------------------------------------------------------
-tolerance  0.05 m
 accept    0.0 3819897.85
 expect    51.0 42.0
 
-tolerance  0.05 m
 accept    0.0 0.0
 expect    51.0 0.0
 
-tolerance  0.05 m
 accept    497112.88 0.0
 expect    57.0 0.0
 
-tolerance  0.05 m
 accept    248556.44 1724781.5
 expect    54.0 20.5
 
-tolerance  0.05 m
 accept    1325634.35 -3709687.25
 expect    67.0 -41.0
 
 --------------------------------------------------------------------------------
-operation  +proj=pipeline
-           +step +init=epsg:4284 +inv
-           +step +init=epsg:3388
+operation proj=pipeline towgs84=0,0,0
+          step init=epsg:4284 inv
+          step init=epsg:3388
+
+tolerance 6 mm
 --------------------------------------------------------------------------------
-tolerance  0.006 m
 accept    51.0 42.0
 roundtrip 1000
 
-tolerance  0.006 m
 accept    51.0 0.0
 roundtrip 1000
 
-tolerance  0.006 m
 accept    57.0 0.0
 roundtrip 1000
 
-tolerance  0.006 m
 accept    54.0 20.5
 roundtrip 1000
 
-tolerance  0.006 m
 accept    67.0 -41.0
 roundtrip 1000
 
diff --git a/test/gigs/5201.gie b/test/gigs/5201.gie
index e7bdcb1e..532443a9 100644
--- a/test/gigs/5201.gie
+++ b/test/gigs/5201.gie
@@ -4,6 +4,12 @@ Test 5201, Geographic Geocentric conversions, v2.0_2011-09-28. (EPSG 4979 - WGS8
 
 --------------------------------------------------------------------------------
 
+# WGS 84
+<4978> +proj=geocent +datum=WGS84 +units=m +no_defs  <>
+# WGS 84
+<4326> +proj=longlat +datum=WGS84 +no_defs  <>
+
+
 <gie>
 
 --------------------------------------------------------------------------------
@@ -11,111 +17,111 @@ operation  +proj=pipeline
            +step +init=epsg:4978 +inv
            +step +init=epsg:4326
 --------------------------------------------------------------------------------
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01 m
 accept    -962479.5924 555687.8517 6260738.6526
 expect    150 80 1214.137
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01 m
 accept    -962297.0059 555582.4354 6259542.961
 expect    150 80 0
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -1598248.169 2768777.623 5501278.468
 expect    119.99524538 60.00475191 619.6317
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -1598023.169 2768387.912 5500499.045
 expect    119.9952447 60.00475258 -280.3683
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    2764210.4054 4787752.865 3170468.5199
 expect    60 30 189.569
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    2764128.3196 4787610.6883 3170373.7354
 expect    60 30 0
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    6377934.396 -112 434
 expect    -0.00100615 0.00392509 -202.5882
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    6374934.396 -112 434
 expect    -0.00100662 0.00392695 -3202.5881
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    6367934.396 -112 434
 expect    -0.00100773 0.00393129 -10202.5881
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    2764128.3196 -4787610.6883 -3170373.7354
 expect    -60 -30 0
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    2763900.3489 -4787215.8313 -3170110.4974
 expect    -60 -30 -526.476
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    2763880.8633 -4787182.0813 -3170087.9974
 expect    -60 -30 -571.476
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -1598023.169 -2768611.912 -5499631.045
 expect    -119.99323757 -59.99934884 -935.0995
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -1597798.169 -2768222.201 -5498851.622
 expect    -119.99323663 -59.99934874 -1835.0995
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -962297.0059 -555582.4354 -6259542.961
 expect    -150 -80 0
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -962150.945 -555498.1071 -6258586.4616
 expect    -150 -80 -971.255
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -961798.2951 -555294.5046 -6256277.0874
 expect    -150 -80 -3316.255
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -2187336.719 -112 5971017.093
 expect    -179.99706624 70.00490733 -223.6178
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -2904698.5551 -2904698.5551 4862789.0377
 expect    -135 50 0
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    371 -5783593.614 2679326.11
 expect    -89.99632465 25.00366329 -274.7286
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    6378137 0 0
 expect    0 0 0
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -4087095.478 2977467.559 -3875457.429
 expect    143.92649252 -37.65282217 737.7182
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -4085919.959 2976611.233 -3874335.274
 expect    143.92649211 -37.65282206 -1099.2288
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -4084000.165 2975212.729 -3872502.631
 expect    143.92649143 -37.65282187 -4099.2288
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -4079520.647 2971949.553 -3868226.465
 expect    143.92648984 -37.65282143 -11099.2288
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -2904698.5551 2904698.5551 -4862789.0377
 expect    135 -50 0
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -2187336.719 -112 -5970149.093
 expect    -179.99706624 -70.00224647 -1039.2896
 
@@ -124,111 +130,111 @@ operation  +proj=pipeline
            +step +init=epsg:4326 +inv
            +step +init=epsg:4978
 --------------------------------------------------------------------------------
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    150 80 1214.137
 expect    -962479.5924 555687.8517 6260738.6526
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    150 80 0
 expect    -962297.0059 555582.4354 6259542.961
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    119.99524538 60.00475191 619.6317
 expect    -1598248.169 2768777.623 5501278.468
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    119.9952447 60.00475258 -280.3683
 expect    -1598023.169 2768387.912 5500499.045
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    60 30 189.569
 expect    2764210.4054 4787752.865 3170468.5199
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    60 30 0
 expect    2764128.3196 4787610.6883 3170373.7354
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -0.00100615 0.00392509 -202.5882
 expect    6377934.396 -112 434
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -0.00100662 0.00392695 -3202.5881
 expect    6374934.396 -112 434
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -0.00100773 0.00393129 -10202.5881
 expect    6367934.396 -112 434
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -60 -30 0
 expect    2764128.3196 -4787610.6883 -3170373.7354
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -60 -30 -526.476
 expect    2763900.3489 -4787215.8313 -3170110.4974
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -60 -30 -571.476
 expect    2763880.8633 -4787182.0813 -3170087.9974
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -119.99323757 -59.99934884 -935.0995
 expect    -1598023.169 -2768611.912 -5499631.045
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -119.99323663 -59.99934874 -1835.0995
 expect    -1597798.169 -2768222.201 -5498851.622
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -150 -80 0
 expect    -962297.0059 -555582.4354 -6259542.961
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -150 -80 -971.255
 expect    -962150.945 -555498.1071 -6258586.4616
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -150 -80 -3316.255
 expect    -961798.2951 -555294.5046 -6256277.0874
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -179.99706624 70.00490733 -223.6178
 expect    -2187336.719 -112 5971017.093
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -135 50 0
 expect    -2904698.5551 -2904698.5551 4862789.0377
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -89.99632465 25.00366329 -274.7286
 expect    371 -5783593.614 2679326.11
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    0 0 0
 expect    6378137 0 0
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    143.92649252 -37.65282217 737.7182
 expect    -4087095.478 2977467.559 -3875457.429
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    143.92649211 -37.65282206 -1099.2288
 expect    -4085919.959 2976611.233 -3874335.274
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    143.92649143 -37.65282187 -4099.2288
 expect    -4084000.165 2975212.729 -3872502.631
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    143.92648984 -37.65282143 -11099.2288
 expect    -4079520.647 2971949.553 -3868226.465
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    135 -50 0
 expect    -2904698.5551 2904698.5551 -4862789.0377
 
-tolerance  [8.333333333333333e-08, 8.333333333333333e-08, 0.01] m
+tolerance  0.01  m
 accept    -179.99706624 -70.00224647 -1039.2896
 expect    -2187336.719 -112 -5970149.093
 
@@ -237,111 +243,111 @@ operation  +proj=pipeline
            +step +init=epsg:4978 +inv
            +step +init=epsg:4326
 --------------------------------------------------------------------------------
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -962479.5924 555687.8517 6260738.6526
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -962297.0059 555582.4354 6259542.961
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -1598248.169 2768777.623 5501278.468
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -1598023.169 2768387.912 5500499.045
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    2764210.4054 4787752.865 3170468.5199
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    2764128.3196 4787610.6883 3170373.7354
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    6377934.396 -112 434
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    6374934.396 -112 434
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    6367934.396 -112 434
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    2764128.3196 -4787610.6883 -3170373.7354
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    2763900.3489 -4787215.8313 -3170110.4974
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    2763880.8633 -4787182.0813 -3170087.9974
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -1598023.169 -2768611.912 -5499631.045
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -1597798.169 -2768222.201 -5498851.622
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -962297.0059 -555582.4354 -6259542.961
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -962150.945 -555498.1071 -6258586.4616
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -961798.2951 -555294.5046 -6256277.0874
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -2187336.719 -112 5971017.093
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -2904698.5551 -2904698.5551 4862789.0377
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    371 -5783593.614 2679326.11
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    6378137 0 0
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -4087095.478 2977467.559 -3875457.429
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -4085919.959 2976611.233 -3874335.274
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -4084000.165 2975212.729 -3872502.631
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -4079520.647 2971949.553 -3868226.465
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -2904698.5551 2904698.5551 -4862789.0377
 roundtrip 1000
 
-tolerance  [5.555555555555556e-08, 5.555555555555556e-08, 0.006] m
+tolerance  0.01  m
 accept    -2187336.719 -112 -5970149.093
 roundtrip 1000
 
diff --git a/test/gigs/5208.gie b/test/gigs/5208.gie
index 5d94474a..25a10b96 100644
--- a/test/gigs/5208.gie
+++ b/test/gigs/5208.gie
@@ -2,8 +2,24 @@
 
 Test 5208, Longitude Rotation, v2.0_2011-06-28.
 
+The test tolerance is 0.01". Since gie can only use linear tolerances we
+convert that to an approximate liniar distance instead, by multiplying with
+111km:
+
+    0.01" * 111 km = 2.777777778-7 * 111000 m = 0.03 m
+
+To be on the safe side we, use 0.01 m as the tolerance.
+
 --------------------------------------------------------------------------------
 
+# NTF
+<4275> +proj=longlat +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +no_defs  <>
+
+# NTF (Paris)
+<4807> +proj=longlat +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +pm=paris +no_defs  <>
+
+
+
 <gie>
 
 --------------------------------------------------------------------------------
@@ -11,59 +27,59 @@ operation  +proj=pipeline
            +step +init=epsg:4275 +inv
            +step +init=epsg:4807
 --------------------------------------------------------------------------------
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    5 58
 expect    2.66277083 58
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    5 56
 expect    2.66277083 56
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    5 55
 expect    2.66277083 55
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    5 53
 expect    2.66277083 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    4 51
 expect    1.66277083 51
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    4 49
 expect    1.66277083 49
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    2.33722917 46.8
 expect    0 46.8
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    3 53
 expect    0.66277083 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    4 53
 expect    1.66277083 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    6 53
 expect    3.66277083 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    7 53
 expect    4.66277083 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    9 53
 expect    6.66277083 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    10 53
 expect    7.66277083 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    11 53
 expect    8.66277083 53
 
@@ -72,59 +88,59 @@ operation  +proj=pipeline
            +step +init=epsg:4807 +inv
            +step +init=epsg:4275
 --------------------------------------------------------------------------------
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    2.66277083 58
 expect    5 58
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    2.66277083 56
 expect    5 56
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    2.66277083 55
 expect    5 55
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    2.66277083 53
 expect    5 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    1.66277083 51
 expect    4 51
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    1.66277083 49
 expect    4 49
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    0 46.8
 expect    2.33722917 46.8
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    0.66277083 53
 expect    3 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    1.66277083 53
 expect    4 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    3.66277083 53
 expect    6 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    4.66277083 53
 expect    7 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    6.66277083 53
 expect    9 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    7.66277083 53
 expect    10 53
 
-tolerance  2.77777777778e-07 m
+tolerance 0.01 m
 accept    8.66277083 53
 expect    11 53
 
@@ -133,59 +149,59 @@ operation  +proj=pipeline
            +step +init=epsg:4275 +inv
            +step +init=epsg:4807
 --------------------------------------------------------------------------------
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    5 58
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    5 56
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    5 55
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    5 53
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    4 51
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    4 49
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    2.33722917 46.8
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    3 53
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    4 53
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    6 53
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    7 53
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    9 53
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    10 53
 roundtrip 1000
 
-tolerance  5.55555555556e-08 m
+tolerance 0.01 m
 accept    11 53
 roundtrip 1000