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#------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
#
# PROJ implementations of current and legacy Icelandic coordinate systems
#
#------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
#
# It is the official definition and implementation of transformations between different Iceland's systems.
#
#
#
# Revision history:
# -----------------
#
# 2019-11-30 Initial setup.
# Dalia Prizginiene <dalia@lmi.is>
#
#
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
#
<metadata> +version=1.0.0 +origin=LMI +lastupdate=2019-11-30
#
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# Vertical datum
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISH2004> proj=vgridshift grids=is_lmi_Icegeoid_ISN2004.tif # current, geoid height calculated using ISN2004 datum
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN93_ISH2004> proj=vgridshift grids=is_lmi_Icegeoid_ISN93.tif # Icegeoid_ISN2004.tif plus corrections for vertical difference between ISN93 and ISN2004.
<ISN2016_ISH2004> proj=vgridshift grids=is_lmi_Icegeoid_ISN2016.tif # Icegeoid_ISN2004.tif plus corrections for vertical difference between ISN2016 and ISN2004.
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# Deformation grids
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN93_16h> proj=hgridshift grids=ISN93_ISN2016.tif
<ISN93_16v> proj=vgridshift grids=ISN93_ISN2016.gtx
<ISN04_16h> proj=hgridshift grids=ISN2004_ISN2016.tif
<ISN04_16v> proj=vgridshift grids=ISN2004_ISN2016.gtx
<D_93_16>
proj=pipeline
step init=ISL:ISN93_16h
step inv init=ISL:ISN93_16v
<D_04_16>
proj=pipeline
step init=ISL:ISN04_16h
step inv init=ISL:ISN04_16v
#----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# Velocity model
#----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
#
# grids=ISN_vel_beta.tif
#
#----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
#----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# LCC ISN2016 (epoch 2016.5, IGS2014, GRS80): The primary system
#----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN2016_LAM> proj=lcc lat_1=64.25 lat_2=65.75 lat_0=65 lon_0=-19 x_0=2700000 y_0=300000 ellps=GRS80
#----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN2016_LAM
tolerance 0.1 mm
accept -17 66
expect 2790800.4329 412932.6164
</gie>
#-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# LCC ISN2004 (epoch 2004.6, IGb00, GRS80): The other systems
#-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN2004_LAM> proj=lcc lat_1=64.25 lat_2=65.75 lat_0=65 lon_0=-19 x_0=1700000 y_0=300000 ellps=GRS80
#-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN2004_LAM
tolerance 0.1 mm
accept -17 66
expect 1790800.4329 412932.6164
</gie>
#------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# LCC ISN93 (epoch 1993.6, ITRF93, GRS80): The other systems
#------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN93_LAM> proj=lcc lat_1=64.25 lat_2=65.75 lat_0=65 lon_0=-19 x_0=500000 y_0=500000 ellps=GRS80
#------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN93_LAM
tolerance 0.1 mm
accept -17 66
expect 590800.4329 612932.6164
</gie>
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# LCC Hjorsey1955 (ellipsoid: International 1924): The historical systems 2D
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<HJORSEY_LAM>
proj=pipeline
step proj=lcc lat_1=65 lat_0=65 lon_0=-18 x_0=-500000 y_0=500000 ellps=intl
step proj=axisswap order=-1,2,3,4
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:HJORSEY_LAM
tolerance 0.1 mm
accept -17 66
expect 454587.8410 611870.0974
</gie>
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# LCC Reykjavik1900 (ellipsoid: Danish): The historical systems 2D
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<RJ_LAM> proj=lcc lat_1=65 lat_0=65 lon_0=-19.022125 x_0=0 y_0=0 ellps=danish
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:RJ_LAM
tolerance 0.1 mm
accept -17 66
expect 91794.9450 112953.3882
</gie>
#---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# LCC for Kinematic datum shifting/ dynamic transformation
#---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<KIN_LAM> proj=lcc lat_1=64.25 lat_2=65.75 lat_0=65 lon_0=-19 x_0=4700000 y_0=300000 ellps=GRS80
#---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:KIN_LAM
tolerance 3 cm
accept -17 66 0 2017.5
expect 4790800.4329 412932.6164
</gie>
#----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# Helmert transformations
#----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# Helmert transformations are used to transform between Reykjavik1900 2D and ISN93 2D also between Hjorsey1955 2D and ISN93 2D
#----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<REYK19_ISN93> proj=helmert convention=coordinate_frame x=556.620 y=-167.901 z=945.664 rx=4.154 ry=-0.269 rz=-2.279 s=-3.729
<HJ_ISN93> proj=helmert x=-72.4 y=46.8 z=-82.7
<REYK19_HJ> proj=helmert convention=coordinate_frame x=629.020 y=-214.701 z=1028.364 rx=4.154 ry=-0.269 rz=-2.279 s=-3.729
#
#
#-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# Actual transformations
#-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
#
#-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# Reykjavik1900 (Geodetic) 2D -> ISN93 (LCC) 2D
#-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# from west of Greenwich
<RJ_G>
proj=pipeline
step proj=push +v_3
step proj=cart ellps=danish
step init=ISL:REYK19_ISN93
step proj=cart inv ellps=GRS80
step proj=pop +v_3
step init=ISL:ISN93_LAM
# Example:
# echo -21.930875 64.1421888889 0 0 | cct +init=ISL:RJ_G
# from west of Copenhagen
<RJ_W>
proj=pipeline
step inv proj=longlat pm=copenhagen
step proj=push +v_3
step proj=cart ellps=danish
step init=ISL:REYK19_ISN93
step proj=cart inv ellps=GRS80
step proj=pop +v_3
step init=ISL:ISN93_LAM
# Example:
# echo -34.50875 64.1421888889 0 0 | cct +init=ISL:RJ_W
#------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:RJ_G
tolerance 50 m
accept -21.930875 64.1421888889 0
expect 357557.5871 407700.8896 0
</gie>
#------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:RJ_W
tolerance 50 m
accept -34.50875 64.1421888889 0
expect 357557.5871 407700.8896 0
</gie>
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# Hjorsey1955 (Geodetic) 2D -> ISN93 (LCC) 2D
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<HJORSEY_ISN93>
proj=pipeline
step proj=push +v_3
step proj=cart ellps=intl
step init=ISL:HJ_ISN93
step proj=cart inv ellps=GRS80
step proj=pop +v_3
step init=ISL:ISN93_LAM
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:HJORSEY_ISN93
tolerance 15 m
accept -21.9933555556 64.1533913888889 0
expect 354399.1771 409035.1420 0
</gie>
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# ISN93 (Geodetic) 3D -> ISN2004 (LCC) 3D
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN93_ISN04>
proj=pipeline
step init=ISL:D_93_16
step inv init=ISL:D_04_16
step init=ISL:ISN2004_LAM
# Example:
# echo -17.981614272222 66.5274148361111 75.737 0 | cct +init=ISL:ISN93_ISN04
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN93_ISN04
tolerance 5 cm
accept -17.981614272222 66.5274148361111 75.737 0
expect 1745293.041 470683.539 75.653
</gie>
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# ISN93 (LCC) 3D -> ISN2004 (LCC) 3D
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN93_L_ISN04>
proj=pipeline
step inv init=ISL:ISN93_LAM
step init=ISL:D_93_16
step inv init=ISL:D_04_16
step init=ISL:ISN2004_LAM
# Example:
# echo 545293.098 670683.324 75.737 0 | cct +init=ISL:ISN93_L_ISN04
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN93_L_ISN04
tolerance 5 cm
accept 545293.098 670683.324 75.737 0
expect 1745293.0413 470683.5387 75.6532
</gie>
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# ISN93 (Geodetic) 3D -> ISN2004 (Geodetic + Vertical datum)
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN93_ISN04_v>
proj=pipeline
step init=ISL:D_93_16
step inv init=ISL:D_04_16
step init=ISL:ISH2004
# Example:
# echo -17.981614272222 66.5274148361111 75.737 0 | cct +init=ISL:ISN93_ISN04_v
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN93_ISN04_v
tolerance 5 cm
accept -17.981614272222 66.5274148361111 75.737 0
expect -17.9816154690 66.5274167690 11.6147
</gie>
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# ISN2004 (Geodetic) 3D -> ISN2016 (LCC) 3D
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN04_ISN16>
proj=pipeline
step init=ISL:D_04_16
step init=ISL:ISN2016_LAM
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN04_ISN16
tolerance 5 cm
accept -17.98161545 66.5274167694444 75.653 0
expect 2745292.997 470683.7597 75.618
</gie>
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# ISN2004 (LCC) 3D -> ISN2016 (LCC) 3D
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN04_L_ISN16>
proj=pipeline
step inv init=ISL:ISN2004_LAM
step init=ISL:D_04_16
step init=ISL:ISN2016_LAM
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN04_L_ISN16
tolerance 5 cm
accept 1745293.042 470683.539 75.653 0
expect 2745292.9970 470683.7595 75.6182
</gie>
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# ISN2004 (Geodetic) 3D -> ISN2016 (Geodetic + Vertical datum)
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN04_ISN16_v>
proj=pipeline
step init=ISL:ISN04_16h
step init=ISL:ISH2004
# Example:
# echo -17.98161545 66.5274167694444 75.653 0 | cct +init=ISL:ISN04_ISN16_v
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN04_ISN16_v
tolerance 5 cm
accept -17.98161545 66.5274167694444 75.653 0
expect -17.9816163818 66.5274187527 11.6145
</gie>
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# ISN93 (Geodetic) 3D -> ISN2016 (LCC) 3D
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN93_ISN16>
proj=pipeline
step init=ISL:D_93_16
step init=ISL:ISN2016_LAM
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN93_ISN16
tolerance 5 cm
accept -17.981614272222 66.5274148361111 75.737 0
expect 2745292.996 470683.760 75.618
</gie>
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# ISN93 (LCC) 3D -> ISN2016 (LCC) 3D
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN93_L_ISN16>
proj=pipeline
step inv init=ISL:ISN93_LAM
step init=ISL:D_93_16
step init=ISL:ISN2016_LAM
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN93_L_ISN16
tolerance 5 cm
accept 545293.098 670683.324 75.737 0
expect 2745292.996 470683.759 75.618
</gie>
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# ISN93 (Geodetic) 3D -> ISN2016 (Geodetic + Vertical datum)
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN93_ISN16_v>
proj=pipeline
step init=ISL:D_93_16
step init=ISL:ISN04_16v
step init=ISL:ISH2004
# Example:
# echo -17.981614272222 66.5274148361111 75.737 0 | cct +init=ISL:ISN93_ISN16_v
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN93_ISN16_v
tolerance 5 cm
accept -17.981614272222 66.5274148361111 75.737 0
expect -17.9816164008 66.5274187522 11.6147
</gie>
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# LCC ISN93 3D -> ISN93 (Geodetic + Vertical datum)
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN93_ISH2004_v>
proj=pipeline
step inv init=ISL:ISN93_LAM
step init=ISL:ISN93_ISH2004
# Example:
# echo 545293.098 670683.324 75.737 0 | cct +init=ISL:ISN93_ISH2004_v
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN93_ISH2004_v
tolerance 5 cm
accept 545293.098 670683.324 75.737 0
expect -17.9816142725 66.5274148323 11.6147
</gie>
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# LCC ISN2016 3D -> ISN2016 (Geodetic + Vertical datum)
#-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<ISN2016_ISH2004_v>
proj=pipeline
step inv init=ISL:ISN2016_LAM
step init=ISL:ISN2016_ISH2004
# Example:
# echo 2745292.998 470683.759 75.618 0 | cct +init=ISL:ISN2016_ISH2004_v
#--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:ISN2016_ISH2004_v
tolerance 5 cm
accept 2745292.998 470683.759 75.618 0
expect -17.9816163630 66.5274187459 11.6143
</gie>
#---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# ISN_DRF (Geodetic): epoch 2018.679 -> ISN_DRF (LCC): epoch 2017.5 3D
#---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<DRF_E>
proj=pipeline
step proj=cart ellps=GRS80
step proj=deformation dt=-1.179 xy_grids=ISN_vel_beta.ct2 z_grids=ISN_vel_beta.gtx
step proj=cart inv ellps=GRS80
step init=ISL:KIN_LAM
# Example:
# echo -18.1224832715 65.6854274786 134.2043 | cct +init=ISL:DRF_E
#---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:DRF_E
tolerance 3 cm
accept -18.1224832715 65.6854274786 134.2043
expect 4740331.7212 376698.7742 134.2005
</gie>
#----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
# ISN_DRF (Geodetic): epoch 2018.679 -> ISN2016 (LCC) 3D
#----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<DRF_2016>
proj=pipeline
step proj=cart ellps=GRS80
step proj=deformation dt=-2.179 xy_grids=ISN_vel_beta.ct2 z_grids=ISN_vel_beta.gtx
step proj=cart inv ellps=GRS80
step init=ISL:ISN2016_LAM
# Example:
# echo -18.1224832715 65.6854274786 134.2043 | cct +init=ISL:DRF_2016
#----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
<gie>
operation init=ISL:DRF_2016
tolerance 3 cm
accept -18.1224832715 65.6854274786 134.2043
expect 2740331.7315 376698.7505 134.1972
</gie>
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