ESRI WKT: map Mercator_Variant_A, Mercator_Variant_C and Transverse_Cylindrical_Equal_Area projections (#2020)

* Add mapping of ESRI projection methods Mercator_Variant_A, Mercator_Variant_C
and Transverse_Cylindrical_Equal_Area
* Add a few notes about missing mappings

4 files changed, 144 insertions, 56 deletions

diff --git a/include/proj/internal/coordinateoperation_constants.hpp b/include/proj/internal/coordinateoperation_constants.hpp
index d39ad2ed..f3291272 100644
--- a/include/proj/internal/coordinateoperation_constants.hpp
+++ b/include/proj/internal/coordinateoperation_constants.hpp
@@ -796,6 +796,9 @@ static const MethodMapping projectionMethodMappings[] = {
     {"Quartic Authalic", 0, "Quartic_Authalic", "qua_aut", nullptr,
      paramsLonNatOrigin},
 
+    {"Transverse Cylindrical Equal Area", 0,
+     "Transverse_Cylindrical_Equal_Area", "tcea", nullptr, paramsObliqueStereo},
+
     {EPSG_NAME_METHOD_EQUAL_EARTH, EPSG_CODE_METHOD_EQUAL_EARTH, nullptr,
      "eqearth", nullptr, paramsLonNatOrigin},
 
diff --git a/include/proj/internal/esri_projection_mappings.hpp b/include/proj/internal/esri_projection_mappings.hpp
index 5f1e1874..1fd3788c 100644
--- a/include/proj/internal/esri_projection_mappings.hpp
+++ b/include/proj/internal/esri_projection_mappings.hpp
@@ -848,6 +848,42 @@ static const ESRIParamMapping paramsESRI_Mercator_Auxiliary_Sphere[] = {
     {"Auxiliary_Sphere_Type", nullptr, 0, "0.0", false},
     {nullptr, nullptr, 0, "0.0", false}};
 
+static const ESRIParamMapping paramsESRI_Mercator_Variant_A[] = {
+    {"False_Easting", EPSG_NAME_PARAMETER_FALSE_EASTING,
+     EPSG_CODE_PARAMETER_FALSE_EASTING, "0.0", false},
+    {"False_Northing", EPSG_NAME_PARAMETER_FALSE_NORTHING,
+     EPSG_CODE_PARAMETER_FALSE_NORTHING, "0.0", false},
+    {"Central_Meridian", EPSG_NAME_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN,
+     EPSG_CODE_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN, "0.0", false},
+    {"Scale_Factor", EPSG_NAME_PARAMETER_SCALE_FACTOR_AT_NATURAL_ORIGIN,
+     EPSG_CODE_PARAMETER_SCALE_FACTOR_AT_NATURAL_ORIGIN, "0.0", false},
+    {nullptr, nullptr, 0, "0.0", false}};
+
+static const ESRIParamMapping paramsESRI_Mercator_Variant_C[] = {
+    {"False_Easting", EPSG_NAME_PARAMETER_FALSE_EASTING,
+     EPSG_CODE_PARAMETER_FALSE_EASTING, "0.0", false},
+    {"False_Northing", EPSG_NAME_PARAMETER_FALSE_NORTHING,
+     EPSG_CODE_PARAMETER_FALSE_NORTHING, "0.0", false},
+    {"Central_Meridian", EPSG_NAME_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN,
+     EPSG_CODE_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN, "0.0", false},
+    {"Standard_Parallel_1", EPSG_NAME_PARAMETER_LATITUDE_1ST_STD_PARALLEL,
+     EPSG_CODE_PARAMETER_LATITUDE_1ST_STD_PARALLEL, "0.0", false},
+    {"Latitude_Of_Origin", nullptr, 0, "0.0", false},
+    {nullptr, nullptr, 0, "0.0", false}};
+
+static const ESRIParamMapping paramsESRI_Transverse_Cylindrical_Equal_Area[] = {
+    {"False_Easting", EPSG_NAME_PARAMETER_FALSE_EASTING,
+     EPSG_CODE_PARAMETER_FALSE_EASTING, "0.0", false},
+    {"False_Northing", EPSG_NAME_PARAMETER_FALSE_NORTHING,
+     EPSG_CODE_PARAMETER_FALSE_NORTHING, "0.0", false},
+    {"Central_Meridian", EPSG_NAME_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN,
+     EPSG_CODE_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN, "0.0", false},
+    {"Scale_Factor", EPSG_NAME_PARAMETER_SCALE_FACTOR_AT_NATURAL_ORIGIN,
+     EPSG_CODE_PARAMETER_SCALE_FACTOR_AT_NATURAL_ORIGIN, "0.0", false},
+    {"Latitude_Of_Origin", EPSG_NAME_PARAMETER_LATITUDE_OF_NATURAL_ORIGIN,
+     EPSG_CODE_PARAMETER_LATITUDE_OF_NATURAL_ORIGIN, "0.0", false},
+    {nullptr, nullptr, 0, "0.0", false}};
+
 static const ESRIMethodMapping esriMappings[] = {
     {"Plate_Carree", EPSG_NAME_METHOD_EQUIDISTANT_CYLINDRICAL,
      EPSG_CODE_METHOD_EQUIDISTANT_CYLINDRICAL, paramsESRI_Plate_Carree},
@@ -997,6 +1033,12 @@ static const ESRIMethodMapping esriMappings[] = {
      EPSG_NAME_METHOD_POPULAR_VISUALISATION_PSEUDO_MERCATOR,
      EPSG_CODE_METHOD_POPULAR_VISUALISATION_PSEUDO_MERCATOR,
      paramsESRI_Mercator_Auxiliary_Sphere},
+    {"Mercator_Variant_A", EPSG_NAME_METHOD_MERCATOR_VARIANT_A,
+     EPSG_CODE_METHOD_MERCATOR_VARIANT_A, paramsESRI_Mercator_Variant_A},
+    {"Mercator_Variant_C", EPSG_NAME_METHOD_MERCATOR_VARIANT_B,
+     EPSG_CODE_METHOD_MERCATOR_VARIANT_B, paramsESRI_Mercator_Variant_C},
+    {"Transverse_Cylindrical_Equal_Area", "Transverse Cylindrical Equal Area",
+     0, paramsESRI_Transverse_Cylindrical_Equal_Area},
 };
 
 // ---------------------------------------------------------------------------
diff --git a/scripts/build_esri_projection_mapping.py b/scripts/build_esri_projection_mapping.py
index 81e5240d..6f12c05b 100644
--- a/scripts/build_esri_projection_mapping.py
+++ b/scripts/build_esri_projection_mapping.py
@@ -450,8 +450,6 @@ config_str = """
         - False_Northing: EPSG_NAME_PARAMETER_FALSE_NORTHING
         - Central_Meridian: EPSG_NAME_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN
 
-# Hammer_Aitoff: not handled
-
 - Flat_Polar_Quartic:
     WKT2_name: PROJ_WKT2_NAME_METHOD_FLAT_POLAR_QUARTIC
     Params:
@@ -510,8 +508,6 @@ config_str = """
     Cond:
         - EPSG_NAME_PARAMETER_LATITUDE_STD_PARALLEL < 0
 
-# Fuller: not handled
-
 - Rectified_Skew_Orthomorphic_Natural_Origin:
     WKT2_name: EPSG_NAME_METHOD_HOTINE_OBLIQUE_MERCATOR_VARIANT_A
     Params:
@@ -535,14 +531,6 @@ config_str = """
         - Latitude_Of_Center: EPSG_NAME_PARAMETER_LATITUDE_PROJECTION_CENTRE
         - XY_Plane_Rotation: EPSG_NAME_PARAMETER_ANGLE_RECTIFIED_TO_SKEW_GRID
 
-# Cube: not handled
-
-# Transverse_Mercator_Complex: not handled
-
-# Robinson_ARC_INFO: not handled
-
-# Local: not handled
-
 - Goode_Homolosine:
     WKT2_name: "Goode Homolosine"
     Params:
@@ -550,8 +538,6 @@ config_str = """
         - False_Northing: EPSG_NAME_PARAMETER_FALSE_NORTHING
         - Central_Meridian: EPSG_NAME_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN
 
-# Berghaus_Star: not handled
-
 - Equidistant_Cylindrical_Ellipsoidal:
     WKT2_name: EPSG_NAME_METHOD_EQUIDISTANT_CYLINDRICAL
     Params:
@@ -560,8 +546,6 @@ config_str = """
         - Central_Meridian: EPSG_NAME_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN
         - Standard_Parallel_1: EPSG_NAME_PARAMETER_LATITUDE_1ST_STD_PARALLEL
 
-# Ney_Modified_Conic: not handled
-
 - Laborde_Oblique_Mercator:
     WKT2_name: EPSG_NAME_METHOD_LABORDE_OBLIQUE_MERCATOR
     Params:
@@ -572,8 +556,6 @@ config_str = """
         - Longitude_Of_Center: EPSG_NAME_PARAMETER_LONGITUDE_PROJECTION_CENTRE
         - Latitude_Of_Center: EPSG_NAME_PARAMETER_LATITUDE_PROJECTION_CENTRE
 
-# IGAC_Plano_Cartesiano: not handled
-
 - Gnomonic_Ellipsoidal:
     WKT2_name: PROJ_WKT2_NAME_METHOD_GNOMONIC
     Params:
@@ -582,22 +564,6 @@ config_str = """
         - Longitude_Of_Center: EPSG_NAME_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN
         - Latitude_Of_Center: EPSG_NAME_PARAMETER_LATITUDE_OF_NATURAL_ORIGIN
 
-# Polar_Stereographic_Variant_A: not handled, no example in .csv
-
-# Polar_Stereographic_Variant_B: not handled, no example in .csv
-
-# Polar_Stereographic_Variant_C: not handled
-
-# Mercator_Variant_A: not handled, no example in .csv
-
-# Mercator_Variant_C: not handled, no example in .csv
-
-# Hammer_Ellipsoidal: not handled
-
-# Quartic_Authalic_Ellipsoidal: not handled, no example in .csv
-
-# Eckert_Greifendorff: not handled
-
 - Wagner_IV:
     WKT2_name: PROJ_WKT2_NAME_METHOD_WAGNER_IV
     Params:
@@ -648,12 +614,6 @@ config_str = """
         - False_Northing: EPSG_NAME_PARAMETER_FALSE_NORTHING
         - Central_Meridian: EPSG_NAME_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN
 
-# Transverse_Mercator_NGA_2014: not handled
-
-# Transverse_Cylindrical_Equal_Area: not handled
-
-# Aspect_Adaptive_Cylindrical: not handled
-
 - Geostationary_Satellite:
     WKT2_name: PROJ_WKT2_NAME_METHOD_GEOSTATIONARY_SATELLITE_SWEEP_Y
     Params:
@@ -663,8 +623,6 @@ config_str = """
         - Height: "Satellite Height"
         - Option: 0.0
 
-# Equidistant_Cylindrical_Auxiliary_Sphere: not handled
-
 - Mercator_Auxiliary_Sphere:
     WKT2_name: EPSG_NAME_METHOD_POPULAR_VISUALISATION_PSEUDO_MERCATOR
     Params:
@@ -674,23 +632,67 @@ config_str = """
         - Standard_Parallel_1: EPSG_NAME_PARAMETER_LATITUDE_OF_NATURAL_ORIGIN
         - Auxiliary_Sphere_Type: 0.0
 
-# Mollweide_Auxiliary_Sphere: not handled
-
-# Eckert_VI_Auxiliary_Sphere: not handled
-
-# Eckert_IV_Auxiliary_Sphere: not handled
-
-# Stereographic_Auxiliary_Sphere: not handled
-
-# Van_der_Grinten_I_Auxiliary_Sphere: not handled
-
-# Azimuthal_Equidistant_Auxiliary_Sphere: not handled
+- Mercator_Variant_A:
+    WKT2_name: EPSG_NAME_METHOD_MERCATOR_VARIANT_A
+    Params:
+        - False_Easting: EPSG_NAME_PARAMETER_FALSE_EASTING
+        - False_Northing: EPSG_NAME_PARAMETER_FALSE_NORTHING
+        - Central_Meridian: EPSG_NAME_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN
+        - Scale_Factor: EPSG_NAME_PARAMETER_SCALE_FACTOR_AT_NATURAL_ORIGIN
 
-# Lambert_Azimuthal_Equal_Area_Auxiliary_Sphere: not handled
+- Mercator_Variant_C:
+    WKT2_name: EPSG_NAME_METHOD_MERCATOR_VARIANT_B
+    Params:
+        - False_Easting: EPSG_NAME_PARAMETER_FALSE_EASTING
+        - False_Northing: EPSG_NAME_PARAMETER_FALSE_NORTHING
+        - Central_Meridian: EPSG_NAME_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN
+        - Standard_Parallel_1: EPSG_NAME_PARAMETER_LATITUDE_1ST_STD_PARALLEL
+        - Latitude_Of_Origin: 0
 
-# Orthographic_Auxiliary_Sphere: not handled
+- Transverse_Cylindrical_Equal_Area:
+    WKT2_name: Transverse Cylindrical Equal Area
+    Params:
+        - False_Easting: EPSG_NAME_PARAMETER_FALSE_EASTING
+        - False_Northing: EPSG_NAME_PARAMETER_FALSE_NORTHING
+        - Central_Meridian: EPSG_NAME_PARAMETER_LONGITUDE_OF_NATURAL_ORIGIN
+        - Scale_Factor: EPSG_NAME_PARAMETER_SCALE_FACTOR_AT_NATURAL_ORIGIN
+        - Latitude_Of_Origin: EPSG_NAME_PARAMETER_LATITUDE_OF_NATURAL_ORIGIN
 
-# Gnomonic_Auxiliary_Sphere: not handled
+# Missing/unclear mappings
+
+# Hammer_Aitoff: possibly hammer?
+# Hammer_Ellipsoidal: possibly hammer?
+# Eckert_Greifendorff: +proj=hammer +W=0.25 +M=1
+
+# Missing mappings
+
+# Transverse_Mercator_NGA_2014: utm -- tricky mapping from Central_Meridian to zone
+# Polar_Stereographic_Variant_A: ups -- tricky mapping from Latitude_Of_Origin to "+south" when required
+
+# The following methods are not currently possible in PROJ:
+
+# Ney_Modified_Conic
+# IGAC_Plano_Cartesiano
+# Fuller
+# Berghaus_Star
+# Cube
+# Transverse_Mercator_Complex
+# Robinson_ARC_INFO
+# Local
+# Equidistant_Cylindrical_Auxiliary_Sphere
+# Aspect_Adaptive_Cylindrical
+# Mollweide_Auxiliary_Sphere
+# Eckert_VI_Auxiliary_Sphere
+# Eckert_IV_Auxiliary_Sphere
+# Stereographic_Auxiliary_Sphere
+# Van_der_Grinten_I_Auxiliary_Sphere
+# Azimuthal_Equidistant_Auxiliary_Sphere
+# Lambert_Azimuthal_Equal_Area_Auxiliary_Sphere
+# Orthographic_Auxiliary_Sphere
+# Gnomonic_Auxiliary_Sphere
+# Polar_Stereographic_Variant_B
+# Polar_Stereographic_Variant_C
+# Quartic_Authalic_Ellipsoidal
 
 """
 
diff --git a/test/unit/test_io.cpp b/test/unit/test_io.cpp
index 884b52f2..581083b3 100644
--- a/test/unit/test_io.cpp
+++ b/test/unit/test_io.cpp
@@ -5002,6 +5002,47 @@ static const struct {
          {"False northing", 2},
      }},
 
+    {"Mercator_Variant_A",
+     {{"False_Easting", 1},
+      {"False_Northing", 2},
+      {"Scale_Factor", 3},
+      {"Central_Meridian", 4}},
+     "Mercator (variant A)",
+     {
+         {"Longitude of natural origin", 4},
+         {"Scale factor at natural origin", 3},
+         {"False easting", 1},
+         {"False northing", 2},
+     }},
+
+    {"Mercator_Variant_C",
+     {{"False_Easting", 1},
+      {"False_Northing", 2},
+      {"Standard_Parallel_1", 3},
+      {"Central_Meridian", 4}},
+     "Mercator (variant B)",
+     {
+         {"Latitude of 1st standard parallel", 3},
+         {"Longitude of natural origin", 4},
+         {"False easting", 1},
+         {"False northing", 2},
+     }},
+
+    {"Transverse_Cylindrical_Equal_Area",
+     {{"False_Easting", 1},
+      {"False_Northing", 2},
+      {"Central_Meridian", 3},
+      {"Scale_Factor", 4},
+      {"Latitude_Of_Origin", 5}},
+     "Transverse Cylindrical Equal Area",
+     {
+         {"Latitude of natural origin", 5},
+         {"Longitude of natural origin", 3},
+         {"Scale factor at natural origin", 4},
+         {"False easting", 1},
+         {"False northing", 2},
+     }},
+
     {"Gnomonic_Ellipsoidal",
      {{"False_Easting", 1},
       {"False_Northing", 2},