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-rw-r--r--Master/texmf-dist/tex/latex/mercatormap/mercatormap.sty922
1 files changed, 664 insertions, 258 deletions
diff --git a/Master/texmf-dist/tex/latex/mercatormap/mercatormap.sty b/Master/texmf-dist/tex/latex/mercatormap/mercatormap.sty
index d2c8d61ae4c..b9f77b9715a 100644
--- a/Master/texmf-dist/tex/latex/mercatormap/mercatormap.sty
+++ b/Master/texmf-dist/tex/latex/mercatormap/mercatormap.sty
@@ -1,8 +1,8 @@
-%% The LaTeX package mercatormap - version 1.02 (2020/08/06)
+%% The LaTeX package mercatormap - version 1.2.0 (2024/08/05)
%% mercatormap.sty: geographic coordinates (Mercator projection) and map tiles for TikZ pictures
%%
%% -------------------------------------------------------------------------------------------
-%% Copyright (c) 2020 by Prof. Dr. Dr. Thomas F. Sturm <thomas dot sturm at unibw dot de>
+%% Copyright (c) 2020-2024 by Prof. Dr. Dr. Thomas F. Sturm <thomas dot sturm at unibw dot de>
%% -------------------------------------------------------------------------------------------
%%
%% This work may be distributed and/or modified under the
@@ -17,24 +17,11 @@
%%
%% This work consists of all files listed in README
%%
-\RequirePackage{expl3}[2020/02/25]
-\RequirePackage{xparse}
-\ProvidesExplPackage{mercatormap}{2020/08/06}{1.02}
+\NeedsTeXFormat{LaTeX2e}[2023-11-01]
+\ProvidesExplPackage{mercatormap}{2024/08/05}{1.2.0}
{A Web Mercator projection package with map tile support}
-\@ifpackagelater { expl3 } { 2020/02/25 }
- { }
- {
- \PackageError { mercatormap } { Support~package~expl3~too~old }
- {
- You~need~to~update~your~installation~of~the~bundles~'l3kernel'~and~
- 'l3packages'.\MessageBreak
- Loading~mercatormap~will~abort!
- }
- \tex_endinput:D
- }
-\RequirePackage{siunitx}
-\RequirePackage{graphicx,tikz,pdftexcmds}
+\RequirePackage{siunitx,graphicx,tikz}
\ExplSyntaxOff
% space character problem if within explSyntax
@@ -51,8 +38,23 @@
\NewDocumentCommand\mermapsetmarker{ m } { \keys_set:nn { mermap/marker } {#1} }
-%---- constants ----------------------------------------------------------------
+%---- scratch variables --------------------------------------------------------
+
+\box_new:N \l__mermap_tmpa_box
+
+\clist_new:N \l__mermap_tmpa_clist
+\dim_new:N \l__mermap_tmpa_dim
+\dim_new:N \l__mermap_tmpb_dim
+
+\fp_new:N \l__mermap_tmpa_fp
+\fp_new:N \l__mermap_tmpb_fp
+
+\tl_new:N \g__mermap_tmpa_tl
+\tl_new:N \l__mermap_tmpa_tl
+\tl_new:N \l__mermap_tmpb_tl
+
+%---- constants ----------------------------------------------------------------
\fp_const:Nn \c__mermap_scale_radius_fp { 6371*pi/180 }
\fp_const:Nn \c__mermap_mean_radius_fp { 637100000cm }
@@ -235,16 +237,16 @@
\cs_new_nopar:Npn \__mermap_longitude_to_x:n #1
{
- \fp_set:Nn \l_tmpa_fp { #1-\l__mermap_mapwest_fp }
- \fp_sub:Nn \l_tmpa_fp { 360*floor(\l_tmpa_fp/360) }
- \fp_set:Nn \l_tmpa_fp
- { \l_tmpa_fp>\l__mermap_westeast_fp
- ?(\l_tmpa_fp-\l__mermap_westeast_fp>360-\l_tmpa_fp
- ?\l_tmpa_fp-360
- :\l_tmpa_fp)
- :\l_tmpa_fp
+ \fp_set:Nn \l__mermap_tmpa_fp { #1-\l__mermap_mapwest_fp }
+ \fp_sub:Nn \l__mermap_tmpa_fp { 360*floor(\l__mermap_tmpa_fp/360) }
+ \fp_set:Nn \l__mermap_tmpa_fp
+ { \l__mermap_tmpa_fp>\l__mermap_westeast_fp
+ ?(\l__mermap_tmpa_fp-\l__mermap_westeast_fp>360-\l__mermap_tmpa_fp
+ ?\l__mermap_tmpa_fp-360
+ :\l__mermap_tmpa_fp)
+ :\l__mermap_tmpa_fp
}
- \fp_set:Nn \l__mermap_cs_x_fp { \l_tmpa_fp*\l__mermap_cs_xfactor_fp }
+ \fp_set:Nn \l__mermap_cs_x_fp { \l__mermap_tmpa_fp*\l__mermap_cs_xfactor_fp }
}
@@ -328,7 +330,7 @@
}
-\prg_new_conditional:Npnn \__mermap_if_in_map:nn #1#2 { p, TF }
+\prg_new_conditional:Npnn \__mermap_if_in_map:nn #1#2 { p, T, F, TF }
{
\fp_compare:nNnTF {#1} > \l__mermap_mapnorth_fp
{
@@ -340,14 +342,14 @@
\prg_return_false:
}
{
- \fp_set:Nn \l_tmpa_fp { #2-\l__mermap_mapwest_fp }
- \fp_sub:Nn \l_tmpa_fp { 360*floor(\l_tmpa_fp/360) }
- \fp_compare:nNnTF \l_tmpa_fp > \l__mermap_westeast_fp
+ \fp_set:Nn \l__mermap_tmpa_fp { #2-\l__mermap_mapwest_fp }
+ \fp_sub:Nn \l__mermap_tmpa_fp { 360*floor(\l__mermap_tmpa_fp/360) }
+ \fp_compare:nNnTF \l__mermap_tmpa_fp > \l__mermap_westeast_fp
{
\prg_return_false:
}
{
- \fp_set:Nn \l__mermap_cs_x_fp { \l_tmpa_fp*\l__mermap_cs_xfactor_fp }
+ \fp_set:Nn \l__mermap_cs_x_fp { \l__mermap_tmpa_fp*\l__mermap_cs_xfactor_fp }
\__mermap_latitude_to_y:n {#1}
\pgfnoderename{mrclastpos}{mrcpos}
\pgfcoordinate{mrcpos}{
@@ -366,7 +368,7 @@
}
-\prg_new_conditional:Npnn \__mermap_if_in_vicinity:nn #1#2 { p, TF }
+\prg_new_conditional:Npnn \__mermap_if_in_vicinity:nn #1#2 { p, T, F, TF }
{
\fp_compare:nNnTF {#1} > \l__mermap_vic_north_fp
{
@@ -378,14 +380,14 @@
\prg_return_false:
}
{
- \fp_set:Nn \l_tmpa_fp { #2-\l__mermap_vic_west_fp }
- \fp_sub:Nn \l_tmpa_fp { 360*floor(\l_tmpa_fp/360) }
- \fp_compare:nNnTF \l_tmpa_fp > \l__mermap_vic_westeast_fp
+ \fp_set:Nn \l__mermap_tmpa_fp { #2-\l__mermap_vic_west_fp }
+ \fp_sub:Nn \l__mermap_tmpa_fp { 360*floor(\l__mermap_tmpa_fp/360) }
+ \fp_compare:nNnTF \l__mermap_tmpa_fp > \l__mermap_vic_westeast_fp
{
\prg_return_false:
}
{
- \fp_set:Nn \l__mermap_cs_x_fp { \l_tmpa_fp*\l__mermap_cs_xfactor_fp - \l__mermap_vic_dim_fp }
+ \fp_set:Nn \l__mermap_cs_x_fp { \l__mermap_tmpa_fp*\l__mermap_cs_xfactor_fp - \l__mermap_vic_dim_fp }
\__mermap_latitude_to_y:n {#1}
\pgfnoderename{mrclastpos}{mrcpos}
\pgfcoordinate{mrcpos}{
@@ -443,19 +445,13 @@
\NewExpandableDocumentCommand \mrcNPlat { m }
{
- \cs_if_exist_use:cF{__mermap__lat__#1}
- {
- \msg_error:nnx{ mercatormap }{ np-undefined }{ #1 }
- }
+ \cs_if_exist_use:cF{ __mermap__lat__#1 }{ 0 }
}
\NewExpandableDocumentCommand \mrcNPlon { m }
{
- \cs_if_exist_use:cF{__mermap__lon__#1}
- {
- \msg_error:nnx{ mercatormap }{ np-undefined }{ #1 }
- }
+ \cs_if_exist_use:cF{ __mermap__lon__#1 }{ 0 }
}
@@ -465,15 +461,75 @@
}
+\prg_new_conditional:Npnn \__mermap_if_NP_exists:n #1 { p, TF }
+ {
+ \cs_if_exist:cTF{ __mermap__lat__#1 }
+ {
+ \cs_if_exist:cTF{ __mermap__lon__#1 }
+ {
+ \prg_return_true:
+ }
+ {
+ \prg_return_false:
+ }
+ }
+ {
+ \prg_return_false:
+ }
+ }
+
+
+\NewDocumentCommand{\ifmrcNPexists}{ m }
+ {
+ \__mermap_if_NP_exists:nTF{ #1 }
+ }
+
+
+\prg_new_conditional:Npnn \__mermap_if_NP_in_map:n #1 { p, TF }
+ {
+ \__mermap_if_NP_exists:nTF { #1 }
+ {
+ \__mermap_if_in_map:nnTF{ \mrcNPlat{#1} }{ \mrcNPlon{#1} }
+ {
+ \prg_return_true:
+ }
+ {
+ \prg_return_false:
+ }
+ }
+ {
+ \prg_return_false:
+ }
+ }
+
+
\NewDocumentCommand{\ifmrcNPinmap}{ m }
{
- \__mermap_if_in_map:nnTF{\mrcNPlat{#1}}{\mrcNPlon{#1}}
+ \__mermap_if_NP_in_map:nTF { #1 }
+ }
+
+
+\prg_new_conditional:Npnn \__mermap_if_NP_in_vicinity:n #1 { p, TF }
+ {
+ \__mermap_if_NP_exists:nTF { #1 }
+ {
+ \__mermap_if_in_vicinity:nnTF{ \mrcNPlat{#1} }{ \mrcNPlon{#1} }
+ {
+ \prg_return_true:
+ }
+ {
+ \prg_return_false:
+ }
+ }
+ {
+ \prg_return_false:
+ }
}
\NewDocumentCommand{\ifmrcNPinvicinity}{ m }
{
- \__mermap_if_in_vicinity:nnTF{\mrcNPlat{#1}}{\mrcNPlon{#1}}
+ \__mermap_if_NP_in_vicinity:nTF{ #1 }
}
@@ -485,7 +541,7 @@
\char_set_catcode_other:n {`\"}
\tl_const:Nn \c__mermap_supply_call_boundaries_tl
- {%
+ {
\l__mermap_python_tl\c_space_tl boundaries
-u "\str_use:N\l__mermap_supply_url_str"
-at "\str_use:N\l__mermap_supply_attribution_str"
@@ -503,7 +559,7 @@
}
\tl_const:Nn \c__mermap_supply_call_reference_tl
- {%
+ {
\l__mermap_python_tl\c_space_tl reference
-u "\str_use:N\l__mermap_supply_url_str"
-at "\str_use:N\l__mermap_supply_attribution_str"
@@ -523,7 +579,7 @@
\tl_const:Nn \c__mermap_supply_call_areafit_tl
- {%
+ {
\l__mermap_python_tl\c_space_tl areafit
-u "\str_use:N\l__mermap_supply_url_str"
-at "\str_use:N\l__mermap_supply_attribution_str"
@@ -604,11 +660,11 @@
\cs_new:Npn \__mermap_supply_url_with_api_key:nnn #1#2#3
{
\str_set:Nn \l__mermap_supply_url_str {#1}
- \prop_get:NnNF \g__mermap_apikey_prop {#2} \l_tmpa_tl
+ \prop_get:NnNF \g__mermap_apikey_prop {#2} \l__mermap_tmpa_tl
{
\msg_error:nnx{ mercatormap }{ api-key-undefined }{ #2 }
}
- \str_put_right:NV \l__mermap_supply_url_str \l_tmpa_tl
+ \str_put_right:NV \l__mermap_supply_url_str \l__mermap_tmpa_tl
\str_put_right:Nn \l__mermap_supply_url_str {#3}
}
@@ -621,16 +677,16 @@
{
\msg_error:nnx{ mercatormap }{ np-undefined }{ ##1 }
}
- \fp_set:Nn \l_tmpa_fp { \mrcNPlat{##1} }
- \fp_compare:nNnT \l_tmpa_fp < \l__mermap_supply_south_fp
- { \fp_set_eq:NN \l__mermap_supply_south_fp \l_tmpa_fp }
- \fp_compare:nNnT \l_tmpa_fp > \l__mermap_supply_north_fp
- { \fp_set_eq:NN \l__mermap_supply_north_fp \l_tmpa_fp }
- \fp_set:Nn \l_tmpa_fp { \mrcNPlon{##1} }
- \fp_compare:nNnT \l_tmpa_fp < \l__mermap_supply_west_fp
- { \fp_set_eq:NN \l__mermap_supply_west_fp \l_tmpa_fp }
- \fp_compare:nNnT \l_tmpa_fp > \l__mermap_supply_east_fp
- { \fp_set_eq:NN \l__mermap_supply_east_fp \l_tmpa_fp }
+ \fp_set:Nn \l__mermap_tmpa_fp { \mrcNPlat{##1} }
+ \fp_compare:nNnT \l__mermap_tmpa_fp < \l__mermap_supply_south_fp
+ { \fp_set_eq:NN \l__mermap_supply_south_fp \l__mermap_tmpa_fp }
+ \fp_compare:nNnT \l__mermap_tmpa_fp > \l__mermap_supply_north_fp
+ { \fp_set_eq:NN \l__mermap_supply_north_fp \l__mermap_tmpa_fp }
+ \fp_set:Nn \l__mermap_tmpa_fp { \mrcNPlon{##1} }
+ \fp_compare:nNnT \l__mermap_tmpa_fp < \l__mermap_supply_west_fp
+ { \fp_set_eq:NN \l__mermap_supply_west_fp \l__mermap_tmpa_fp }
+ \fp_compare:nNnT \l__mermap_tmpa_fp > \l__mermap_supply_east_fp
+ { \fp_set_eq:NN \l__mermap_supply_east_fp \l__mermap_tmpa_fp }
}
}
@@ -662,14 +718,14 @@
{
\msg_error:nnn { mercatormap }{ input-area-marker }{ #1 }
}
- \tl_gset:Nx \g_tmpa_tl
+ \tl_gset:Nx \g__mermap_tmpa_tl
{
\exp_not:N\fp_set:Nn \exp_not:N\l__mermap_supply_west_fp { \fp_to_decimal:N\l__mermap_supply_west_fp }
\exp_not:N\fp_set:Nn \exp_not:N\l__mermap_supply_east_fp { \fp_to_decimal:N\l__mermap_supply_east_fp }
\exp_not:N\fp_set:Nn \exp_not:N\l__mermap_supply_south_fp { \fp_to_decimal:N\l__mermap_supply_south_fp }
\exp_not:N\fp_set:Nn \exp_not:N\l__mermap_supply_north_fp { \fp_to_decimal:N\l__mermap_supply_north_fp }
}
- \group_insert_after:N \g_tmpa_tl
+ \group_insert_after:N \g__mermap_tmpa_tl
\group_end:
}
@@ -715,18 +771,18 @@
_source .choice:,
area .code:n =
{
- \clist_set:Nn \l_tmpa_clist { #1 }
+ \clist_set:Nn \l__mermap_tmpa_clist { #1 }
\fp_set:Nn \l__mermap_supply_west_fp { inf }
\fp_set:Nn \l__mermap_supply_east_fp { -inf }
\fp_set:Nn \l__mermap_supply_south_fp { 89 }
\fp_set:Nn \l__mermap_supply_north_fp { -89 }
- \__mermap_supply_add_area_clist:N \l_tmpa_clist
+ \__mermap_supply_add_area_clist:N \l__mermap_tmpa_clist
},
area .value_required:n = true,
add~area .code:n =
{
- \clist_set:Nn \l_tmpa_clist { #1 }
- \__mermap_supply_add_area_clist:N \l_tmpa_clist
+ \clist_set:Nn \l__mermap_tmpa_clist { #1 }
+ \__mermap_supply_add_area_clist:N \l__mermap_tmpa_clist
},
area~from~marker~input .code:n =
{
@@ -756,20 +812,20 @@
flex~area~fit .code:n = {
\fp_compare:nNnF \l__mermap_tile_size_dim = \l__mermap_flex_tile_size_dim
{
- \fp_set:Nn \l_tmpa_fp { \l__mermap_tile_size_dim/\l__mermap_flex_tile_size_dim }
- \fp_set:Nn \l__mermap_supply_width_fp{\l__mermap_supply_width_fp*\l_tmpa_fp}
- \fp_set:Nn \l__mermap_supply_height_fp{\l__mermap_supply_height_fp*\l_tmpa_fp}
+ \fp_set:Nn \l__mermap_tmpa_fp { \l__mermap_tile_size_dim/\l__mermap_flex_tile_size_dim }
+ \fp_set:Nn \l__mermap_supply_width_fp{\l__mermap_supply_width_fp*\l__mermap_tmpa_fp}
+ \fp_set:Nn \l__mermap_supply_height_fp{\l__mermap_supply_height_fp*\l__mermap_tmpa_fp}
}
\fp_set:Nn \l__mermap_supply_width_fp{\l__mermap_supply_width_fp-(#1)/\l__mermap_flex_tile_size_dim}
\fp_set:Nn \l__mermap_supply_height_fp{\l__mermap_supply_height_fp-(#1)/\l__mermap_flex_tile_size_dim}
- \fp_set:Nn \l_tmpa_fp { min ( 180*\l__mermap_supply_width_fp / (\l__mermap_supply_east_fp-\l__mermap_supply_west_fp)
+ \fp_set:Nn \l__mermap_tmpa_fp { min ( 180*\l__mermap_supply_width_fp / (\l__mermap_supply_east_fp-\l__mermap_supply_west_fp)
, pi*\l__mermap_supply_height_fp / ln( tand(\l__mermap_supply_north_fp/2+45) / tand(\l__mermap_supply_south_fp/2+45) ) ) }
- \fp_set:Nn \l_tmpb_fp { ln(\l_tmpa_fp)/ln(2) }
- \fp_set:Nn \l_tmpb_fp { round(\l_tmpb_fp)/\l_tmpb_fp }
- \fp_set:Nn \l_tmpb_fp { \l_tmpa_fp^(\l_tmpb_fp-1+0.0000001) }
- \dim_set:Nn \l__mermap_tile_size_dim { \fp_to_dim:n { \l__mermap_flex_tile_size_dim / \l_tmpb_fp }}
- \fp_set:Nn \l__mermap_supply_width_fp { \l__mermap_supply_width_fp * \l_tmpb_fp + (#1)/\l__mermap_tile_size_dim }
- \fp_set:Nn \l__mermap_supply_height_fp { \l__mermap_supply_height_fp * \l_tmpb_fp + (#1)/\l__mermap_tile_size_dim }
+ \fp_set:Nn \l__mermap_tmpb_fp { ln(\l__mermap_tmpa_fp)/ln(2) }
+ \fp_set:Nn \l__mermap_tmpb_fp { round(\l__mermap_tmpb_fp)/\l__mermap_tmpb_fp }
+ \fp_set:Nn \l__mermap_tmpb_fp { \l__mermap_tmpa_fp^(\l__mermap_tmpb_fp-1+0.0000001) }
+ \dim_set:Nn \l__mermap_tile_size_dim { \fp_to_dim:n { \l__mermap_flex_tile_size_dim / \l__mermap_tmpb_fp }}
+ \fp_set:Nn \l__mermap_supply_width_fp { \l__mermap_supply_width_fp * \l__mermap_tmpb_fp + (#1)/\l__mermap_tile_size_dim }
+ \fp_set:Nn \l__mermap_supply_height_fp { \l__mermap_supply_height_fp * \l__mermap_tmpb_fp + (#1)/\l__mermap_tile_size_dim }
},
flex~area~fit .default:n = 0pt,
}
@@ -815,16 +871,13 @@
\msg_new:nnn { mercatormap }{ python-script }
- { Python~script~'maptiles.texpy'~is~created~(for~map~tile~download). }
+ { Python~script~'maptiles.texpy'~is~created~for~map~tile~download. }
\NewDocumentCommand \mrcactivatescript {}
{
\msg_info:nn { mercatormap }{ python-script }
- \group_begin:
- \def\@latex@warning@no@line##1{}% suppress filecontents warning
\file_input:n {\mrcpkgprefix mercatorpy.def}
- \group_end:
\bool_set_true:N \l__mermap_script_activated_bool
}
\@onlypreamble\mrcactivatescript
@@ -838,21 +891,21 @@
\cs_new:Npn \__mermap_create_definition_id:n #1
{
- \tl_set:Nx \l_tmpa_tl {#1}
- \tl_trim_spaces:N \l_tmpa_tl
- \str_set:Nx \l__mermap_definition_postfix_str {\tl_to_str:N \l_tmpa_tl}
+ \tl_set:Nx \l__mermap_tmpa_tl {#1}
+ \tl_trim_spaces:N \l__mermap_tmpa_tl
+ \str_set:Nx \l__mermap_definition_postfix_str {\tl_to_str:N \l__mermap_tmpa_tl}
\str_concat:NNN \l__mermap_definition_id_str
\l__mermap_definition_prefix_str \l__mermap_definition_postfix_str
}
\cs_new:Npn \__mermap_map:nn #1#2
{
- \tl_set:Nx \l_tmpa_tl {#2}
- \tl_trim_spaces:N \l_tmpa_tl
- \tl_if_empty:NT \l_tmpa_tl
+ \tl_set:Nx \l__mermap_tmpa_tl {#2}
+ \tl_trim_spaces:N \l__mermap_tmpa_tl
+ \tl_if_empty:NT \l__mermap_tmpa_tl
{
\int_gincr:N \g__mermap_automap_int
- \tl_set:Nx \l_tmpa_tl
+ \tl_set:Nx \l__mermap_tmpa_tl
{
automap-
\int_compare:nNnTF \g__mermap_automap_int<{10} {000}
@@ -865,7 +918,7 @@
\int_use:N \g__mermap_automap_int
}
}
- \str_set:Nx \l__mermap_definition_postfix_str {\tl_to_str:N \l_tmpa_tl}
+ \str_set:Nx \l__mermap_definition_postfix_str {\tl_to_str:N \l__mermap_tmpa_tl}
\str_concat:NNN \l__mermap_definition_id_str
\l__mermap_definition_prefix_str \l__mermap_definition_postfix_str
\__mermap_supplymap:n {#1}
@@ -886,12 +939,12 @@
{
\group_begin:
\keys_set:nn { mermap/supply } { #1 }
- \tl_set:Nx \l_tmpa_tl { \str_use:N\l__mermap_definition_id_str }
- \prop_if_in:NVT \g__mermap_definition_prop \l_tmpa_tl
+ \tl_set:Nx \l__mermap_tmpa_tl { \str_use:N\l__mermap_definition_id_str }
+ \prop_if_in:NVT \g__mermap_definition_prop \l__mermap_tmpa_tl
{
- \msg_warning:nnx { mercatormap }{ definition-id-used }{ \tl_use:N \l_tmpa_tl }
+ \msg_warning:nnx { mercatormap }{ definition-id-used }{ \tl_use:N \l__mermap_tmpa_tl }
}
- \prop_gput:NVn \g__mermap_definition_prop \l_tmpa_tl {}
+ \prop_gput:NVn \g__mermap_definition_prop \l__mermap_tmpa_tl {}
\bool_if:NT \l__mermap_script_activated_bool
{
\__mermap_supplymap_call:
@@ -927,10 +980,10 @@
\cs_new:Npn \__mermap_supplymap_call:
{
- \tl_set_eq:Nc \l_tmpa_tl {
+ \tl_set_eq:Nc \l__mermap_tmpa_tl {
c__mermap_supply_call_\l__mermap_supply_type_tl _tl }
- \tl_set:Nx \l__mermap_supply_call_tl \l_tmpa_tl
- \tl_set:Nx \l__mermap_mdfivesum_tl { \pdf@mdfivesum{\l__mermap_supply_call_tl} }
+ \tl_set:Nx \l__mermap_supply_call_tl \l__mermap_tmpa_tl
+ \tl_set:Nx \l__mermap_mdfivesum_tl { \str_mdfive_hash:e{\l__mermap_supply_call_tl} }
\file_if_exist:nTF {\l__mermap_definition_id_str.def}
{
\tl_clear:N \l__mermap_last_mdfivesum_tl
@@ -1031,8 +1084,8 @@
\cs_new_nopar:Npn \__mermap_set_flex_scale:nn #1#2
{
- \fp_set:Nn \l_tmpa_fp { 1+ln(\c__mermap_mean_radius_fp/#1*cosd(#2)*pi/\l__mermap_flex_tile_size_dim)/ln(2) }
- \keys_set:nn { mermap }{ flex~zoom=\l_tmpa_fp }
+ \fp_set:Nn \l__mermap_tmpa_fp { 1+ln(\c__mermap_mean_radius_fp/#1*cosd(#2)*pi/\l__mermap_flex_tile_size_dim)/ln(2) }
+ \keys_set:nn { mermap }{ flex~zoom=\l__mermap_tmpa_fp }
}
\use:x
@@ -1323,19 +1376,19 @@
\cs_new_nopar:Npn \__mermap_compute_network_step:nn #1#2
{
- \fp_set:Nn \l_tmpa_fp
+ \fp_set:Nn \l__mermap_tmpa_fp
{
min ( \l__mermap_network_pieces_int, round((#1)/\l__mermap_network_distance_dim) )
}
- \fp_set:Nn \l_tmpb_fp { (#2)/\l_tmpa_fp }
- \fp_set:Nn \l_tmpa_fp { floor(ln(\l_tmpb_fp)/ln(10)) }
- \fp_compare:nNnTF {\l_tmpa_fp} < {0}
+ \fp_set:Nn \l__mermap_tmpb_fp { (#2)/\l__mermap_tmpa_fp }
+ \fp_set:Nn \l__mermap_tmpa_fp { floor(ln(\l__mermap_tmpb_fp)/ln(10)) }
+ \fp_compare:nNnTF {\l__mermap_tmpa_fp} < {0}
{
- \fp_compare:nNnTF {\l_tmpa_fp} > {-5}
+ \fp_compare:nNnTF {\l__mermap_tmpa_fp} > {-5}
{
\use:x
{
- \exp_not:N\keys_set:nn { mermap }{ format~angle=decimal\fp_to_int:N\l_tmpa_fp}
+ \exp_not:N\keys_set:nn { mermap }{ format~angle=decimal\fp_to_int:N\l__mermap_tmpa_fp}
}
}
{
@@ -1345,25 +1398,25 @@
{
\keys_set:nn { mermap }{ format~angle=decimal-0 }
}
- \fp_set:Nn \l_tmpa_fp { 10^\l_tmpa_fp }
- \fp_set:Nn \l_tmpb_fp { \l_tmpb_fp/\l_tmpa_fp }
- \fp_compare:nNnTF {abs(\l_tmpb_fp-1)} < {abs(\l_tmpb_fp-2)}
+ \fp_set:Nn \l__mermap_tmpa_fp { 10^\l__mermap_tmpa_fp }
+ \fp_set:Nn \l__mermap_tmpb_fp { \l__mermap_tmpb_fp/\l__mermap_tmpa_fp }
+ \fp_compare:nNnTF {abs(\l__mermap_tmpb_fp-1)} < {abs(\l__mermap_tmpb_fp-2)}
{
- \fp_compare:nNnTF {abs(\l_tmpb_fp-1)} < {abs(\l_tmpb_fp-5)}
+ \fp_compare:nNnTF {abs(\l__mermap_tmpb_fp-1)} < {abs(\l__mermap_tmpb_fp-5)}
{
- \fp_set:Nn \l__mermap_result_fp {\l_tmpa_fp}
+ \fp_set:Nn \l__mermap_result_fp {\l__mermap_tmpa_fp}
}
{
- \fp_set:Nn \l__mermap_result_fp {5*\l_tmpa_fp}
+ \fp_set:Nn \l__mermap_result_fp {5*\l__mermap_tmpa_fp}
}
}
{
- \fp_compare:nNnTF {abs(\l_tmpb_fp-2)} < {abs(\l_tmpb_fp-5)}
+ \fp_compare:nNnTF {abs(\l__mermap_tmpb_fp-2)} < {abs(\l__mermap_tmpb_fp-5)}
{
- \fp_set:Nn \l__mermap_result_fp {2*\l_tmpa_fp}
+ \fp_set:Nn \l__mermap_result_fp {2*\l__mermap_tmpa_fp}
}
{
- \fp_set:Nn \l__mermap_result_fp {5*\l_tmpa_fp}
+ \fp_set:Nn \l__mermap_result_fp {5*\l__mermap_tmpa_fp}
}
}
}
@@ -1376,46 +1429,46 @@
\IfNoValueF {#1} { \keys_set:nn { mermap } {#1} }
\tl_use:N \l__mermap_tikz_map_clip_tl
\__mermap_compute_network_step:nn {\l__mermap_tex_height_fp}{\l__mermap_mapnorth_fp-\l__mermap_mapsouth_fp}
- \fp_set:Nn \l_tmpa_fp { ceil(\l__mermap_mapsouth_fp/\l__mermap_result_fp)*\l__mermap_result_fp}
- \fp_compare:nNnT {\l_tmpa_fp-\l__mermap_mapsouth_fp} < {1e-10}
+ \fp_set:Nn \l__mermap_tmpa_fp { ceil(\l__mermap_mapsouth_fp/\l__mermap_result_fp)*\l__mermap_result_fp}
+ \fp_compare:nNnT {\l__mermap_tmpa_fp-\l__mermap_mapsouth_fp} < {1e-10}
{
- \fp_add:Nn \l_tmpa_fp {\l__mermap_result_fp}
+ \fp_add:Nn \l__mermap_tmpa_fp {\l__mermap_result_fp}
}
- \fp_while_do:nNnn {\l_tmpa_fp} < {\l__mermap_mapnorth_fp}
+ \fp_while_do:nNnn {\l__mermap_tmpa_fp} < {\l__mermap_mapnorth_fp}
{
- \tl_set:Nn \l_tmpa_tl {\fp_use:N\l_tmpa_fp}
- \draw[gray,very~thin] (mrc~cs\c_colon_str lat=\l_tmpa_tl,lon=\mrcmapwest)
+ \tl_set:Nn \l__mermap_tmpa_tl {\fp_use:N\l__mermap_tmpa_fp}
+ \draw[gray,very~thin] (mrc~cs\c_colon_str lat=\l__mermap_tmpa_tl,lon=\mrcmapwest)
coordinate (mermap_temp)
node[right=1mm,inner~sep=0.5pt,black!50!gray,font=\l__mermap_network_font_tl,
fill=white,opacity=0.3,text~opacity=1,
- ]{\mrcformlat{\l_tmpa_tl}}
+ ]{\mrcformlat{\l__mermap_tmpa_tl}}
-- (mermap_temp -| mrcmap.east)
node[left=1mm,inner~sep=0.5pt,black!50!gray,font=\l__mermap_network_font_tl,
fill=white,opacity=0.3,text~opacity=1,
- ]{\mrcformlat{\l_tmpa_tl}}
+ ]{\mrcformlat{\l__mermap_tmpa_tl}}
;
- \fp_add:Nn \l_tmpa_fp {\l__mermap_result_fp}
+ \fp_add:Nn \l__mermap_tmpa_fp {\l__mermap_result_fp}
}
\__mermap_compute_network_step:nn {\l__mermap_tex_width_fp}{\l__mermap_mapeast_fp-\l__mermap_mapwest_fp}
- \fp_set:Nn \l_tmpa_fp { ceil(\l__mermap_mapwest_fp/\l__mermap_result_fp)*\l__mermap_result_fp}
- \fp_compare:nNnT {\l_tmpa_fp-\l__mermap_mapwest_fp} < {1e-10}
+ \fp_set:Nn \l__mermap_tmpa_fp { ceil(\l__mermap_mapwest_fp/\l__mermap_result_fp)*\l__mermap_result_fp}
+ \fp_compare:nNnT {\l__mermap_tmpa_fp-\l__mermap_mapwest_fp} < {1e-10}
{
- \fp_add:Nn \l_tmpa_fp {\l__mermap_result_fp}
+ \fp_add:Nn \l__mermap_tmpa_fp {\l__mermap_result_fp}
}
- \fp_while_do:nNnn {\l_tmpa_fp} < {\l__mermap_mapeast_fp}
+ \fp_while_do:nNnn {\l__mermap_tmpa_fp} < {\l__mermap_mapeast_fp}
{
- \tl_set:Nn \l_tmpa_tl {\fp_use:N\l_tmpa_fp}
- \draw[gray,very~thin] (mrc~cs\c_colon_str lon=\l_tmpa_tl,lat=\mrcmapsouth)
+ \tl_set:Nn \l__mermap_tmpa_tl {\fp_use:N\l__mermap_tmpa_fp}
+ \draw[gray,very~thin] (mrc~cs\c_colon_str lon=\l__mermap_tmpa_tl,lat=\mrcmapsouth)
coordinate (mermap_temp)
node[above=1mm,inner~sep=0.5pt,black!50!gray,font=\l__mermap_network_font_tl,
fill=white,opacity=0.3,text~opacity=1,
- ]{\mrcformlon{\l_tmpa_tl}}
+ ]{\mrcformlon{\l__mermap_tmpa_tl}}
-- (mermap_temp |- mrcmap.north)
node[below=1mm,inner~sep=0.5pt,black!50!gray,font=\l__mermap_network_font_tl,
fill=white,opacity=0.3,text~opacity=1,
- ]{\mrcformlon{\l_tmpa_tl}}
+ ]{\mrcformlon{\l__mermap_tmpa_tl}}
;
- \fp_add:Nn \l_tmpa_fp {\l__mermap_result_fp}
+ \fp_add:Nn \l__mermap_tmpa_fp {\l__mermap_result_fp}
}
\end{scope}
}
@@ -1488,26 +1541,26 @@
\cs_new_nopar:Npn \__mermap_pretty_distance:n #1
{
- \fp_set:Nn \l_tmpa_fp { #1 }
- \fp_compare:nNnTF \l_tmpa_fp < 5
+ \fp_set:Nn \l__mermap_tmpa_fp { #1 }
+ \fp_compare:nNnTF \l__mermap_tmpa_fp < 5
{
- \SI[round-mode=figures,round-precision=3,detect-all]{\fp_to_decimal:n{1000*\l_tmpa_fp}}{\meter}
+ \SI[round-mode=figures,round-precision=3,detect-all]{\fp_to_decimal:n{1000*\l__mermap_tmpa_fp}}{\meter}
}
{
- \SI[round-mode=figures,round-precision=3,detect-all]{\fp_to_decimal:N \l_tmpa_fp}{\kilo\meter}
+ \SI[round-mode=figures,round-precision=3,detect-all]{\fp_to_decimal:N \l__mermap_tmpa_fp}{\kilo\meter}
}
}
\cs_new_nopar:Npn \__mermap_pretty_length:n #1
{
- \fp_set:Nn \l_tmpa_fp { (#1)*\l__mermap_scale_fp }
- \fp_compare:nNnTF \l_tmpa_fp < 5
+ \fp_set:Nn \l__mermap_tmpa_fp { (#1)*\l__mermap_scale_fp }
+ \fp_compare:nNnTF \l__mermap_tmpa_fp < 5
{
- \SI[round-mode=figures,round-precision=3,detect-all]{\fp_to_decimal:n{1000*\l_tmpa_fp}}{\meter}
+ \SI[round-mode=figures,round-precision=3,detect-all]{\fp_to_decimal:n{1000*\l__mermap_tmpa_fp}}{\meter}
}
{
- \SI[round-mode=figures,round-precision=3,detect-all]{\fp_to_decimal:N \l_tmpa_fp}{\kilo\meter}
+ \SI[round-mode=figures,round-precision=3,detect-all]{\fp_to_decimal:N \l__mermap_tmpa_fp}{\kilo\meter}
}
}
@@ -1535,25 +1588,25 @@
\cs_new_nopar:Npn \__mermap_format_angle_minute:n #1
{
- \fp_set:Nn \l_tmpa_fp {floor(#1)}
- \fp_set:Nn \l_tmpb_fp {round((#1-\l_tmpa_fp)*60)}
+ \fp_set:Nn \l__mermap_tmpa_fp {floor(#1)}
+ \fp_set:Nn \l__mermap_tmpb_fp {round((#1-\l__mermap_tmpa_fp)*60)}
\ang[add-arc-degree-zero,add-arc-minute-zero]
{
- \fp_to_int:N \l_tmpa_fp ;
- \fp_to_int:N \l_tmpb_fp ;
+ \fp_to_int:N \l__mermap_tmpa_fp ;
+ \fp_to_int:N \l__mermap_tmpb_fp ;
}
}
\cs_new_nopar:Npn \__mermap_format_angle_second:n #1
{
- \fp_set:Nn \l_tmpa_fp {floor(#1)}
- \fp_set:Nn \l_tmpb_fp {floor((#1-\l_tmpa_fp)*60)}
+ \fp_set:Nn \l__mermap_tmpa_fp {floor(#1)}
+ \fp_set:Nn \l__mermap_tmpb_fp {floor((#1-\l__mermap_tmpa_fp)*60)}
\ang[add-arc-degree-zero,add-arc-minute-zero]
{
- \fp_to_int:N \l_tmpa_fp ;
- \fp_to_int:N \l_tmpb_fp ;
- \fp_to_int:n {round(((#1-\l_tmpa_fp)*60-\l_tmpb_fp)*60)}
+ \fp_to_int:N \l__mermap_tmpa_fp ;
+ \fp_to_int:N \l__mermap_tmpb_fp ;
+ \fp_to_int:n {round(((#1-\l__mermap_tmpa_fp)*60-\l__mermap_tmpb_fp)*60)}
}
}
@@ -1562,14 +1615,14 @@
\group_begin:
\IfNoValueF {#1}
{ \keys_set:nn { mermap } {#1} }
- \fp_set:Nn \l_tmpa_fp {#2}
- \fp_compare:nNnTF \l_tmpa_fp < 0
+ \fp_set:Nn \l__mermap_tmpa_fp {#2}
+ \fp_compare:nNnTF \l__mermap_tmpa_fp < 0
{
- \tl_set:Nx \l__mermap_temp_tl {\fp_to_decimal:n{-\l_tmpa_fp}}
+ \tl_set:Nx \l__mermap_temp_tl {\fp_to_decimal:n{-\l__mermap_tmpa_fp}}
\__mermap_format_south:n {\__mermap_format_angle:n{\l__mermap_temp_tl}}
}
{
- \tl_set:Nx \l__mermap_temp_tl {\fp_to_decimal:N \l_tmpa_fp}
+ \tl_set:Nx \l__mermap_temp_tl {\fp_to_decimal:N \l__mermap_tmpa_fp}
\__mermap_format_north:n {\__mermap_format_angle:n{\l__mermap_temp_tl}}
}
\group_end:
@@ -1580,14 +1633,14 @@
\group_begin:
\IfNoValueF {#1}
{ \keys_set:nn { mermap } {#1} }
- \fp_set:Nn \l_tmpa_fp {#2-360*floor((#2+180)/360)}
- \fp_compare:nNnTF \l_tmpa_fp < 0
+ \fp_set:Nn \l__mermap_tmpa_fp {#2-360*floor((#2+180)/360)}
+ \fp_compare:nNnTF \l__mermap_tmpa_fp < 0
{
- \tl_set:Nx \l__mermap_temp_tl {\fp_to_decimal:n{-\l_tmpa_fp}}
+ \tl_set:Nx \l__mermap_temp_tl {\fp_to_decimal:n{-\l__mermap_tmpa_fp}}
\__mermap_format_west:n{\__mermap_format_angle:n{\l__mermap_temp_tl}}
}
{
- \tl_set:Nx \l__mermap_temp_tl {\fp_to_decimal:N \l_tmpa_fp}
+ \tl_set:Nx \l__mermap_temp_tl {\fp_to_decimal:N \l__mermap_tmpa_fp}
\__mermap_format_east:n {\__mermap_format_angle:n{\l__mermap_temp_tl}}
}
\group_end:
@@ -1608,22 +1661,22 @@
{
\tl_if_empty:nTF {#5}
{
- \fp_set:Nn \l_tmpa_fp {0}
- \fp_set:Nn \l_tmpb_fp {0}
+ \fp_set:Nn \l__mermap_tmpa_fp {0}
+ \fp_set:Nn \l__mermap_tmpb_fp {0}
}
{
- \fp_set:Nn \l_tmpa_fp {#3*(#5)}
+ \fp_set:Nn \l__mermap_tmpa_fp {#3*(#5)}
\tl_if_empty:nTF {#6}
{
- \fp_set:Nn \l_tmpb_fp {#4*(#5)}
+ \fp_set:Nn \l__mermap_tmpb_fp {#4*(#5)}
}
{
- \fp_set:Nn \l_tmpb_fp {#4*(#6)}
+ \fp_set:Nn \l__mermap_tmpb_fp {#4*(#6)}
}
}
\tl_set:Nx \l__mermap_scalebar_at_tl
{
- {([xshift=\fp_to_dim:N\l_tmpa_fp,yshift=\fp_to_dim:N\l_tmpb_fp]mrcmap.#1)}
+ {([xshift=\fp_to_dim:N\l__mermap_tmpa_fp,yshift=\fp_to_dim:N\l__mermap_tmpb_fp]mrcmap.#1)}
}
\tl_set:Nn \l__mermap_scalebar_placement_tl {#2}
}
@@ -1691,60 +1744,56 @@
\begin{scope}[shift=(mrcscalebar.south~west)]
\__mermap_tikz_path_begin:n { fill=black, mrcscalebarmajor }
\pgfseteorule
- \fp_set:Nn \l_tmpa_fp {\l__mermap_scalebar_width_fp/\l__mermap_scale_fp} % Breite
+ \fp_set:Nn \l__mermap_tmpa_fp {\l__mermap_scalebar_width_fp/\l__mermap_scale_fp} % Breite
\pgfpathrectangle{\pgfpoint{0pt}{0pt}}
- {\pgfpoint{\fp_to_dim:N\l_tmpa_fp}{\l__mermap_scalebar_height_dim}}
+ {\pgfpoint{\fp_to_dim:N\l__mermap_tmpa_fp}{\l__mermap_scalebar_height_dim}}
\bool_if:NF \l__mermap_scalebar_transparent_bool
{
\__mermap_tikz_path_end:
\__mermap_tikz_path_begin:n { fill=white, mrcscalebarminor }
- \fp_set:Nn \l_tmpa_fp {\l__mermap_scalebar_width_fp/\l__mermap_scale_fp}
+ \fp_set:Nn \l__mermap_tmpa_fp {\l__mermap_scalebar_width_fp/\l__mermap_scale_fp}
}
- \fp_set:Nn \l_tmpb_fp {\l_tmpa_fp/\l__mermap_scalebar_partitions_int}
+ \fp_set:Nn \l__mermap_tmpb_fp {\l__mermap_tmpa_fp/\l__mermap_scalebar_partitions_int}
\bool_if:NTF \l__mermap_scalebar_double_bool
{
- \int_set:Nn \l_tmpa_int {1}
- \dim_set:Nn \l_tmpb_dim {\l__mermap_scalebar_height_dim/2}
- \dim_set:Nn \l_tmpa_dim {0.2pt-\l_tmpb_dim}
+ \dim_set:Nn \l__mermap_tmpb_dim {\l__mermap_scalebar_height_dim/2}
+ \dim_set:Nn \l__mermap_tmpa_dim {0.2pt-\l__mermap_tmpb_dim}
\int_compare:nNnTF \l__mermap_scalebar_partitions_int = 1
{
- \pgfpathrectangle{\pgfpoint{0.2pt}{\l_tmpb_dim}}
- {\pgfpoint{\fp_to_dim:n{\l_tmpb_fp-0.4pt}}{\l_tmpa_dim}}
+ \pgfpathrectangle{\pgfpoint{0.2pt}{\l__mermap_tmpb_dim}}
+ {\pgfpoint{\fp_to_dim:n{\l__mermap_tmpb_fp-0.4pt}}{\l__mermap_tmpa_dim}}
}
{
- \pgfpathrectangle{\pgfpoint{0.2pt}{\l_tmpb_dim}}
- {\pgfpoint{\fp_to_dim:n{\l_tmpb_fp-0.2pt}}{\l_tmpa_dim}}
+ \pgfpathrectangle{\pgfpoint{0.2pt}{\l__mermap_tmpb_dim}}
+ {\pgfpoint{\fp_to_dim:n{\l__mermap_tmpb_fp-0.2pt}}{\l__mermap_tmpa_dim}}
}
- \int_while_do:nNnn \l_tmpa_int < \l__mermap_scalebar_partitions_int
+ \int_step_inline:nn { \l__mermap_scalebar_partitions_int-1 }
{
- \dim_set:Nn \l_tmpa_dim {-\l_tmpa_dim}
- \int_compare:nNnTF {\l_tmpa_int+1} = \l__mermap_scalebar_partitions_int
+ \dim_set:Nn \l__mermap_tmpa_dim {-\l__mermap_tmpa_dim}
+ \int_compare:nNnTF {##1+1} = \l__mermap_scalebar_partitions_int
{
- \pgfpathrectangle{\pgfpoint{\fp_to_dim:n{\l_tmpa_int*\l_tmpb_fp}}{\l_tmpb_dim}}
- {\pgfpoint{\fp_to_dim:n{\l_tmpb_fp-0.2pt}}{\l_tmpa_dim}}
+ \pgfpathrectangle{\pgfpoint{\fp_to_dim:n{##1*\l__mermap_tmpb_fp}}{\l__mermap_tmpb_dim}}
+ {\pgfpoint{\fp_to_dim:n{\l__mermap_tmpb_fp-0.2pt}}{\l__mermap_tmpa_dim}}
}
{
- \pgfpathrectangle{\pgfpoint{\fp_to_dim:n{\l_tmpa_int*\l_tmpb_fp}}{\l_tmpb_dim}}
- {\pgfpoint{\fp_to_dim:N\l_tmpb_fp}{\l_tmpa_dim}}
+ \pgfpathrectangle{\pgfpoint{\fp_to_dim:n{##1*\l__mermap_tmpb_fp}}{\l__mermap_tmpb_dim}}
+ {\pgfpoint{\fp_to_dim:N\l__mermap_tmpb_fp}{\l__mermap_tmpa_dim}}
}
- \int_incr:N \l_tmpa_int
}
}
{
- \int_set:Nn \l_tmpa_int {1}
- \dim_set:Nn \l_tmpa_dim {\l__mermap_scalebar_height_dim-0.4pt}
- \int_while_do:nNnn \l_tmpa_int < \l__mermap_scalebar_partitions_int
+ \dim_set:Nn \l__mermap_tmpa_dim {\l__mermap_scalebar_height_dim-0.4pt}
+ \int_step_inline:nnnn { 1 }{ 2 }{ \l__mermap_scalebar_partitions_int-1 }
{
- \int_compare:nNnTF {\l_tmpa_int+1} = \l__mermap_scalebar_partitions_int
+ \int_compare:nNnTF {##1+1} = \l__mermap_scalebar_partitions_int
{
- \pgfpathrectangle{\pgfpoint{\fp_to_dim:n{\l_tmpa_int*\l_tmpb_fp}}{0.2pt}}
- {\pgfpoint{\fp_to_dim:n{\l_tmpb_fp-0.2pt}}{\l_tmpa_dim}}
+ \pgfpathrectangle{\pgfpoint{\fp_to_dim:n{##1*\l__mermap_tmpb_fp}}{0.2pt}}
+ {\pgfpoint{\fp_to_dim:n{\l__mermap_tmpb_fp-0.2pt}}{\l__mermap_tmpa_dim}}
}
{
- \pgfpathrectangle{\pgfpoint{\fp_to_dim:n{\l_tmpa_int*\l_tmpb_fp}}{0.2pt}}
- {\pgfpoint{\fp_to_dim:N\l_tmpb_fp}{\l_tmpa_dim}}
+ \pgfpathrectangle{\pgfpoint{\fp_to_dim:n{##1*\l__mermap_tmpb_fp}}{0.2pt}}
+ {\pgfpoint{\fp_to_dim:N\l__mermap_tmpb_fp}{\l__mermap_tmpa_dim}}
}
- \int_add:Nn \l_tmpa_int {2}
}
}
\__mermap_tikz_path_end:
@@ -2032,53 +2081,53 @@
\__mermap_new_marker_type:nn {pin}
{
- \tl_set:Nx \l_tmpa_tl {\fp_to_dim:N \l__mermap_marker_distance_fp}
+ \tl_set:Nx \l__mermap_tmpa_tl {\fp_to_dim:N \l__mermap_marker_distance_fp}
\path[fill=mrcmarkerfill,draw=none,fill~opacity=0.7]
- (0,0) -- (0.1,\l_tmpa_tl) -- (-0.1,\l_tmpa_tl) -- cycle;
+ (0,0) -- (0.1,\l__mermap_tmpa_tl) -- (-0.1,\l__mermap_tmpa_tl) -- cycle;
\node[fill=white,draw=none,text=mrcmarkertext,
above,font=\mrcmarkerfont,inner~sep=0.5mm,align=center,
line~width=0mm,xshift=\mrcmarkershift,
fill~opacity=0.7,text~opacity=1,xshift=0mm,mrcnodestyle,mrchyperpath]
- (pin_node) at (0,\l_tmpa_tl) {\mrcmarkercontents};
+ (pin_node) at (0,\l__mermap_tmpa_tl) {\mrcmarkercontents};
\path[draw=mrcmarkerdraw,fill=none,line~join=round,mrcpathstyle]
- (0,0) -- (0.1,\l_tmpa_tl) -- (pin_node.south~east) -- (pin_node.north~east)
+ (0,0) -- (0.1,\l__mermap_tmpa_tl) -- (pin_node.south~east) -- (pin_node.north~east)
-- (pin_node.north~west) -- (pin_node.south~west)
- -- (-0.1,\l_tmpa_tl) [line~join=bevel] -- cycle;
+ -- (-0.1,\l__mermap_tmpa_tl) [line~join=bevel] -- cycle;
}
\__mermap_new_marker_type:nn {pinflip}
{
- \tl_set:Nx \l_tmpa_tl {\fp_to_dim:N \l__mermap_marker_distance_fp}
+ \tl_set:Nx \l__mermap_tmpa_tl {\fp_to_dim:N \l__mermap_marker_distance_fp}
\path[fill=mrcmarkerfill,draw=none,fill~opacity=0.7]
- (0,0) -- (-0.1,-\l_tmpa_tl) -- (0.1,-\l_tmpa_tl) -- cycle;
+ (0,0) -- (-0.1,-\l__mermap_tmpa_tl) -- (0.1,-\l__mermap_tmpa_tl) -- cycle;
\node[fill=white,draw=none,text=mrcmarkertext,
below,font=\mrcmarkerfont,inner~sep=0.5mm,align=center,
line~width=0mm,xshift=\mrcmarkershift,
fill~opacity=0.7,text~opacity=1,xshift=0mm,mrcnodestyle,mrchyperpath]
- (pin_node) at (0,-\l_tmpa_tl) {\mrcmarkercontents};
+ (pin_node) at (0,-\l__mermap_tmpa_tl) {\mrcmarkercontents};
\path[draw=mrcmarkerdraw,fill=none,line~join=round,mrcpathstyle]
- (0,0) -- (-0.1,-\l_tmpa_tl) -- (pin_node.north~west) -- (pin_node.south~west)
+ (0,0) -- (-0.1,-\l__mermap_tmpa_tl) -- (pin_node.north~west) -- (pin_node.south~west)
-- (pin_node.south~east) -- (pin_node.north~east)
- -- (0.1,-\l_tmpa_tl) [line~join=bevel] -- cycle;
+ -- (0.1,-\l__mermap_tmpa_tl) [line~join=bevel] -- cycle;
}
\cs_new_nopar:Npn \__mermap_tikz_drop_path:n #1
{
- \tl_set:Nn \l_tmpa_tl {\fp_to_dim:N\l__mermap_marker_radius_fp}
- \tl_set:Nn \l_tmpb_tl {\fp_to_dim:n{\l__mermap_marker_radius_fp*0.552}}
+ \tl_set:Nn \l__mermap_tmpa_tl {\fp_to_dim:N\l__mermap_marker_radius_fp}
+ \tl_set:Nn \l__mermap_tmpb_tl {\fp_to_dim:n{\l__mermap_marker_radius_fp*0.552}}
\__mermap_tikz_path_begin:n
{
line~join=bevel,draw=mrcmarkerdraw,fill=mrcmarkerfill,mrcpathstyle,mrchyperpath
}
\pgfpathmoveto{\pgfpoint{0pt}{\fp_to_dim:n{-2*\l__mermap_marker_radius_fp-\l__mermap_marker_shift_fp}}}
- \pgfpathcurveto{\pgfpoint{\l_tmpb_tl}{-\l_tmpa_tl}}{\pgfpoint{\l_tmpa_tl}{-\l_tmpb_tl}}
- {\pgfpoint{\l_tmpa_tl}{0pt}}
- \pgfpathcurveto{\pgfpoint{\l_tmpa_tl}{\l_tmpb_tl}}{\pgfpoint{\l_tmpb_tl}{\l_tmpa_tl}}
- {\pgfpoint{0pt}{\l_tmpa_tl}}
- \pgfpathcurveto{\pgfpoint{-\l_tmpb_tl}{\l_tmpa_tl}}{\pgfpoint{-\l_tmpa_tl}{\l_tmpb_tl}}
- {\pgfpoint{-\l_tmpa_tl}{0pt}}
- \pgfpathcurveto{\pgfpoint{-\l_tmpa_tl}{-\l_tmpb_tl}}{\pgfpoint{-\l_tmpb_tl}{-\l_tmpa_tl}}
+ \pgfpathcurveto{\pgfpoint{\l__mermap_tmpb_tl}{-\l__mermap_tmpa_tl}}{\pgfpoint{\l__mermap_tmpa_tl}{-\l__mermap_tmpb_tl}}
+ {\pgfpoint{\l__mermap_tmpa_tl}{0pt}}
+ \pgfpathcurveto{\pgfpoint{\l__mermap_tmpa_tl}{\l__mermap_tmpb_tl}}{\pgfpoint{\l__mermap_tmpb_tl}{\l__mermap_tmpa_tl}}
+ {\pgfpoint{0pt}{\l__mermap_tmpa_tl}}
+ \pgfpathcurveto{\pgfpoint{-\l__mermap_tmpb_tl}{\l__mermap_tmpa_tl}}{\pgfpoint{-\l__mermap_tmpa_tl}{\l__mermap_tmpb_tl}}
+ {\pgfpoint{-\l__mermap_tmpa_tl}{0pt}}
+ \pgfpathcurveto{\pgfpoint{-\l__mermap_tmpa_tl}{-\l__mermap_tmpb_tl}}{\pgfpoint{-\l__mermap_tmpb_tl}{-\l__mermap_tmpa_tl}}
{\pgfpoint{0pt}{\fp_to_dim:n{-2*\l__mermap_marker_radius_fp-\l__mermap_marker_shift_fp}}}
\pgfpathclose
#1
@@ -2089,14 +2138,14 @@
{
\node[circle,inner~sep=0pt,font=\mrcmarkerfont,text=mrcmarkertext,mrcnodestyle]
{
- \hbox_set:Nn \l_tmpa_box {\mrcmarkercontents}
- \fp_compare:nNnT {\box_wd:N \l_tmpa_box} > {1.5*\l__mermap_marker_radius_fp}
+ \hbox_set:Nn \l__mermap_tmpa_box {\mrcmarkercontents}
+ \fp_compare:nNnT {\box_wd:N \l__mermap_tmpa_box} > {1.5*\l__mermap_marker_radius_fp}
{
- \box_resize_to_wd_and_ht:Nnn \l_tmpa_box
+ \box_resize_to_wd_and_ht:Nnn \l__mermap_tmpa_box
{\fp_to_dim:n {1.5*\l__mermap_marker_radius_fp}}
- {\box_ht:N \l_tmpa_box}
+ {\box_ht:N \l__mermap_tmpa_box}
}
- \box_use_drop:N \l_tmpa_box
+ \box_use_drop:N \l__mermap_tmpa_box
};
}
@@ -2153,22 +2202,22 @@
\__mermap_new_marker_type:nn {ringx}
{
- \tl_set:Nn \l_tmpa_tl {\fp_to_dim:N\l__mermap_marker_radius_fp}
+ \tl_set:Nn \l__mermap_tmpa_tl {\fp_to_dim:N\l__mermap_marker_radius_fp}
\path[draw=mrcmarkerdraw,very~thin]
- (45 \c_colon_str \l_tmpa_tl)--(225\c_colon_str \l_tmpa_tl)
- (135\c_colon_str \l_tmpa_tl)--(315\c_colon_str \l_tmpa_tl);
+ (45 \c_colon_str \l__mermap_tmpa_tl)--(225\c_colon_str \l__mermap_tmpa_tl)
+ (135\c_colon_str \l__mermap_tmpa_tl)--(315\c_colon_str \l__mermap_tmpa_tl);
\path[draw=mrcmarkerdraw,fill=mrcmarkerfill,mrcpathstyle,mrchyperpath,even~odd~rule]
- circle (\l_tmpa_tl) circle (\fp_to_dim:N\l__mermap_marker_inner_radius_fp);
+ circle (\l__mermap_tmpa_tl) circle (\fp_to_dim:N\l__mermap_marker_inner_radius_fp);
}
\__mermap_new_marker_type:nn {markx}
{
- \tl_set:Nn \l_tmpa_tl {\fp_to_dim:N\l__mermap_marker_radius_fp}
+ \tl_set:Nn \l__mermap_tmpa_tl {\fp_to_dim:N\l__mermap_marker_radius_fp}
\path[line~join=bevel,draw=mrcmarkerdraw,fill=mrcmarkerfill,mrcpathstyle,mrchyperpath]
- (0,0) -- (35 \c_colon_str \l_tmpa_tl) -- (55 \c_colon_str \l_tmpa_tl) -- cycle
- (0,0) -- (125 \c_colon_str \l_tmpa_tl) -- (145 \c_colon_str \l_tmpa_tl) -- cycle
- (0,0) -- (215 \c_colon_str \l_tmpa_tl) -- (235 \c_colon_str \l_tmpa_tl) -- cycle
- (0,0) -- (305 \c_colon_str \l_tmpa_tl) -- (325 \c_colon_str \l_tmpa_tl) -- cycle;
+ (0,0) -- (35 \c_colon_str \l__mermap_tmpa_tl) -- (55 \c_colon_str \l__mermap_tmpa_tl) -- cycle
+ (0,0) -- (125 \c_colon_str \l__mermap_tmpa_tl) -- (145 \c_colon_str \l__mermap_tmpa_tl) -- cycle
+ (0,0) -- (215 \c_colon_str \l__mermap_tmpa_tl) -- (235 \c_colon_str \l__mermap_tmpa_tl) -- cycle
+ (0,0) -- (305 \c_colon_str \l__mermap_tmpa_tl) -- (325 \c_colon_str \l__mermap_tmpa_tl) -- cycle;
}
@@ -2269,12 +2318,21 @@
\fp_new:N \l__mermap_b_x_fp
\fp_new:N \l__mermap_b_y_fp
\fp_new:N \l__mermap_b_z_fp
+\fp_new:N \l__mermap_alpha_fp
\fp_new:N \l__mermap_delta_lambda_fp
\fp_new:N \l__mermap_delta_phi_fp
+\fp_new:N \l__mermap_n_x_fp
+\fp_new:N \l__mermap_n_y_fp
+\fp_new:N \l__mermap_n_z_fp
\fp_new:N \l__mermap_psi_fp
+\fp_new:N \l__mermap_sin_psi_fp
+\fp_new:N \l__mermap_t_fp
+\fp_new:N \l__mermap_t_psi_fp
\fp_new:N \l__mermap_t_x_fp
\fp_new:N \l__mermap_t_y_fp
\fp_new:N \l__mermap_t_z_fp
+\fp_const:Nn \c__mermap_linearization_threshold_fp { 10e-9 }
+\bool_new:N \l__mermap_linearization_bool
\int_new:N \l__mermap_samples_int
@@ -2309,41 +2367,86 @@
}
-\cs_new:Npn \__mermap_draw_orthodrome:nnnnn #1#2#3#4#5
+\cs_new_protected:Npn \__mermap_draw_orthodrome:nnnnn #1#2#3#4#5
{
\__mermap_tikz_path_begin:n { draw,mermap_every_route,#1 }
- \fp_set:Nn \l__mermap_a_x_fp { cosd(#3)*cosd(#2) }
- \fp_set:Nn \l__mermap_a_y_fp { sind(#3)*cosd(#2) }
- \fp_set:Nn \l__mermap_a_z_fp { sind(#2) }
- \fp_set:Nn \l__mermap_b_x_fp { cosd(#5)*cosd(#4) }
- \fp_set:Nn \l__mermap_b_y_fp { sind(#5)*cosd(#4) }
- \fp_set:Nn \l__mermap_b_z_fp { sind(#4) }
-
- \fp_set:Nn \l_tmpa_fp { sind(#2)*sind(#4) + cosd(#2)*cosd(#4)*cosd(#5-(#3)) }
- \fp_set:Nn \l__mermap_psi_fp { acosd(\l_tmpa_fp) }
- \fp_set:Nn \l_tmpb_fp { sind(\l__mermap_psi_fp) }
-
- \fp_set:Nn \l__mermap_b_x_fp { (\l__mermap_b_x_fp - \l_tmpa_fp*\l__mermap_a_x_fp)/\l_tmpb_fp }
- \fp_set:Nn \l__mermap_b_y_fp { (\l__mermap_b_y_fp - \l_tmpa_fp*\l__mermap_a_y_fp)/\l_tmpb_fp }
- \fp_set:Nn \l__mermap_b_z_fp { (\l__mermap_b_z_fp - \l_tmpa_fp*\l__mermap_a_z_fp)/\l_tmpb_fp }
-
- \__mermap_pgf_moveto_point:nn {#2}{#3}
- \int_set:Nn \l_tmpa_int {1}
- \int_until_do:nNnn \l_tmpa_int > \l__mermap_samples_int
- {
- \fp_set:Nn \l_tmpa_fp { \l__mermap_psi_fp*\l_tmpa_int/\l__mermap_samples_int }
- \fp_set:Nn \l_tmpb_fp { sind(\l_tmpa_fp) }
- \fp_set:Nn \l_tmpa_fp { cosd(\l_tmpa_fp) }
- \fp_set:Nn \l__mermap_t_x_fp { \l_tmpa_fp*\l__mermap_a_x_fp + \l_tmpb_fp*\l__mermap_b_x_fp }
- \fp_set:Nn \l__mermap_t_y_fp { \l_tmpa_fp*\l__mermap_a_y_fp + \l_tmpb_fp*\l__mermap_b_y_fp }
- \fp_set:Nn \l__mermap_t_z_fp { \l_tmpa_fp*\l__mermap_a_z_fp + \l_tmpb_fp*\l__mermap_b_z_fp }
- \pgfpathlineto{\__mermap_unit_sphere_point:nnn {\l__mermap_t_x_fp}{\l__mermap_t_y_fp}{\l__mermap_t_z_fp}}
- \int_incr:N \l_tmpa_int
+ \__mermap_setup_orthodrome:nnnn { #2 }{ #3 }{ #4 }{ #5 }
+ \__mermap_pgf_moveto_point:nn { #2 }{ #3 }
+ \int_step_inline:nn { \l__mermap_samples_int }
+ {
+ \__mermap_point_on_orthodrome:n { ##1/\l__mermap_samples_int }
+ \__mermap_pgf_lineto_point:nn{ \l__mermap_cs_lat_fp }{ \l__mermap_cs_lon_fp }
}
\__mermap_tikz_path_end:
}
+\cs_new_protected:Npn \__mermap_setup_orthodrome:nnnn #1#2#3#4
+ {
+ \fp_set:Nn \l__mermap_a_x_fp { cosd(#2)*cosd(#1) }
+ \fp_set:Nn \l__mermap_a_y_fp { sind(#2)*cosd(#1) }
+ \fp_set:Nn \l__mermap_a_z_fp { sind(#1) }
+
+ \fp_set:Nn \l__mermap_b_x_fp { cosd(#4)*cosd(#3) }
+ \fp_set:Nn \l__mermap_b_y_fp { sind(#4)*cosd(#3) }
+ \fp_set:Nn \l__mermap_b_z_fp { sind(#3) }
+
+ \fp_set:Nn \l__mermap_psi_fp { acosd( sind(#1)*sind(#3) + cosd(#1)*cosd(#3)*cosd(#4-(#2)) ) }
+ \fp_set:Nn \l__mermap_sin_psi_fp { sind(\l__mermap_psi_fp) }
+
+ \bool_set:Nn \l__mermap_linearization_bool { \fp_compare_p:nNn \l__mermap_psi_fp < \c__mermap_linearization_threshold_fp }
+ }
+
+
+\cs_new_protected:Npn \__mermap_point_on_orthodrome:n #1
+ {
+ \fp_set:Nn \l__mermap_t_fp { #1 }
+
+ \bool_if:NTF \l__mermap_linearization_bool
+ {
+ \fp_set:Nn \l__mermap_tmpa_fp { 1 - \l__mermap_t_fp }
+ \fp_set_eq:NN \l__mermap_tmpb_fp \l__mermap_t_fp
+ }
+ {
+ \fp_set:Nn \l__mermap_t_psi_fp { \l__mermap_t_fp * \l__mermap_psi_fp }
+ \fp_set:Nn \l__mermap_tmpa_fp { sind( \l__mermap_psi_fp - \l__mermap_t_psi_fp ) / \l__mermap_sin_psi_fp }
+ \fp_set:Nn \l__mermap_tmpb_fp { sind( \l__mermap_t_psi_fp ) / \l__mermap_sin_psi_fp }
+ }
+
+ \fp_set:Nn \l__mermap_t_x_fp { \l__mermap_tmpa_fp*\l__mermap_a_x_fp + \l__mermap_tmpb_fp*\l__mermap_b_x_fp }
+ \fp_set:Nn \l__mermap_t_y_fp { \l__mermap_tmpa_fp*\l__mermap_a_y_fp + \l__mermap_tmpb_fp*\l__mermap_b_y_fp }
+ \fp_set:Nn \l__mermap_t_z_fp { \l__mermap_tmpa_fp*\l__mermap_a_z_fp + \l__mermap_tmpb_fp*\l__mermap_b_z_fp }
+
+ \fp_set:Nn \l__mermap_cs_lat_fp { asind(\l__mermap_t_z_fp) }
+ \fp_set:Nn \l__mermap_cs_lon_fp { sign(\l__mermap_t_y_fp)*acosd(\l__mermap_t_x_fp/sqrt(\l__mermap_t_x_fp^2+\l__mermap_t_y_fp^2)) }
+ }
+
+
+\cs_new_protected:Npn \__mermap_angle_at_orthodrome:
+ {
+ \bool_if:NTF \l__mermap_linearization_bool
+ {
+ \fp_set:Nn \l__mermap_alpha_fp { 90 }
+ }
+ {
+ \fp_set:Nn \l__mermap_tmpa_fp { cosd( \l__mermap_psi_fp - \l__mermap_t_psi_fp ) }
+ \fp_set:Nn \l__mermap_tmpb_fp { cosd( \l__mermap_t_psi_fp ) }
+ \fp_set:Nn \l__mermap_n_x_fp { \l__mermap_tmpb_fp*\l__mermap_b_x_fp - \l__mermap_tmpa_fp*\l__mermap_a_x_fp }
+ \fp_set:Nn \l__mermap_n_y_fp { \l__mermap_tmpb_fp*\l__mermap_b_y_fp - \l__mermap_tmpa_fp*\l__mermap_a_y_fp }
+ \fp_set:Nn \l__mermap_n_z_fp { \l__mermap_tmpb_fp*\l__mermap_b_z_fp - \l__mermap_tmpa_fp*\l__mermap_a_z_fp }
+ \fp_set:Nn \l__mermap_tmpa_fp { sqrt( \l__mermap_n_x_fp^2 + \l__mermap_n_y_fp^2 + \l__mermap_n_z_fp^2 ) }
+ \fp_set:Nn \l__mermap_n_x_fp { \l__mermap_n_x_fp / \l__mermap_tmpa_fp }
+ \fp_set:Nn \l__mermap_n_y_fp { \l__mermap_n_y_fp / \l__mermap_tmpa_fp }
+ \fp_set:Nn \l__mermap_n_z_fp { \l__mermap_n_z_fp / \l__mermap_tmpa_fp }
+ \fp_set:Nn \l__mermap_alpha_fp { acosd( \l__mermap_n_y_fp*cosd(\l__mermap_cs_lon_fp) - \l__mermap_n_x_fp*sind(\l__mermap_cs_lon_fp) ) }
+ \fp_compare:nNnT \l__mermap_n_z_fp < 0
+ {
+ \fp_set:Nn \l__mermap_alpha_fp { 360 - \l__mermap_alpha_fp }
+ }
+ }
+ }
+
+
\NewDocumentCommand \mrcdraworthodrome { O{} mmmm }
{
\__mermap_draw_orthodrome:nnnnn {#1}{#2}{#3}{#4}{#5}
@@ -2392,11 +2495,11 @@
\fp_set:Nn \l__mermap_delta_lambda_fp {(#4-(#2))/180*pi}
\fp_compare:nNnTF {abs(\l__mermap_delta_phi_fp)} < {1e-5}
{
- \fp_set:Nn \l_tmpa_fp { tand(#1) }
- \fp_set:Nn \l_tmpb_fp { \l__mermap_delta_lambda_fp*cosd(#1)
- /( 1 + (\l_tmpa_fp + (1+2*\l_tmpa_fp*\l_tmpa_fp)*\l__mermap_delta_phi_fp/3)*\l__mermap_delta_phi_fp/2 ) }
+ \fp_set:Nn \l__mermap_tmpa_fp { tand(#1) }
+ \fp_set:Nn \l__mermap_tmpb_fp { \l__mermap_delta_lambda_fp*cosd(#1)
+ /( 1 + (\l__mermap_tmpa_fp + (1+2*\l__mermap_tmpa_fp*\l__mermap_tmpa_fp)*\l__mermap_delta_phi_fp/3)*\l__mermap_delta_phi_fp/2 ) }
\fp_set:Nn \l__mermap_result_fp {
- sqrt( \l__mermap_delta_phi_fp*\l__mermap_delta_phi_fp + \l_tmpb_fp*\l_tmpb_fp ) }
+ sqrt( \l__mermap_delta_phi_fp*\l__mermap_delta_phi_fp + \l__mermap_tmpb_fp*\l__mermap_tmpb_fp ) }
}
{
\fp_set:Nn \l__mermap_result_fp { abs(\l__mermap_delta_phi_fp)
@@ -2422,11 +2525,314 @@
\NewDocumentCommand \mrcNPprettyloxodistance { mm }
{
- \__mermap_loxo_distance:nnnn {\mrcNPlat{#1}}{\mrcNPlon{#1}}{\mrcNPlat{#2}}{\mrcNPlon{#2}}
+ \__mermap_loxo_distance:nnnn { \mrcNPlat{#1} }{ \mrcNPlon{#1} }{ \mrcNPlat{#2} }{ \mrcNPlon{#2} }
\__mermap_pretty_distance:n { \l__mermap_result_fp }
}
+\cs_new_protected:Npn \__mermap_orthodrome_point:nnn #1#2#3
+ {
+ \__mermap_point_on_orthodrome:n { #3 }
+ \__mermap_set_named_position { #1 }{ \l__mermap_cs_lat_fp }{ \l__mermap_cs_lon_fp }
+ \IfNoValueF { #2 }
+ {
+ \__mermap_angle_at_orthodrome:
+ \cs_set:Npe #2 { \fp_to_decimal:N \l__mermap_alpha_fp }
+ }
+ }
+
+\NewDocumentCommand \mrcNPfromOrthoFraction { mo mm mm m }
+ {
+ \__mermap_setup_orthodrome:nnnn { #3 }{ #4 }{ #5 }{ #6 }
+ \__mermap_orthodrome_point:nnn { #1 }{ #2 }{ #7 }
+ }
+
+\NewDocumentCommand \mrcNPfromOrthoFractionNamed { mo m m m }
+ {
+ \__mermap_setup_orthodrome:nnnn { \mrcNPlat{#3} }{ \mrcNPlon{#3} }{ \mrcNPlat{#4} }{ \mrcNPlon{#4} }
+ \__mermap_orthodrome_point:nnn { #1 }{ #2 }{ #5 }
+ }
+
+\NewDocumentCommand \mrcNPfromOrthoDistance { mo mm mm m }
+ {
+ \__mermap_ortho_distance:nnnn { #3 }{ #4 }{ #5 }{ #6 }
+ \fp_compare:nNnTF \l__mermap_result_fp > { 0.001 }
+ {
+ \__mermap_setup_orthodrome:nnnn { #3 }{ #4 }{ #5 }{ #6 }
+ \__mermap_orthodrome_point:nnn { #1 }{ #2 }{ #7 / \l__mermap_result_fp }
+ }
+ {
+ \__mermap_set_named_position { #1 }{ #3 }{ #4 }
+ \IfNoValueF { #2 }
+ {
+ \cs_set:Npn #2 { 90 }
+ }
+ }
+ }
+
+\NewDocumentCommand \mrcNPfromOrthoDistanceNamed { mo m m m }
+ {
+ \__mermap_ortho_distance:nnnn { \mrcNPlat{#3} }{ \mrcNPlon{#3} }{ \mrcNPlat{#4} }{ \mrcNPlon{#4} }
+ \fp_compare:nNnTF \l__mermap_result_fp > { 0.001 }
+ {
+ \__mermap_setup_orthodrome:nnnn { \mrcNPlat{#3} }{ \mrcNPlon{#3} }{ \mrcNPlat{#4} }{ \mrcNPlon{#4} }
+ \__mermap_orthodrome_point:nnn { #1 }{ #2 }{ #5 / \l__mermap_result_fp }
+ }
+ {
+ \__mermap_set_named_position { #1 }{ \mrcNPlat{#3} }{ \mrcNPlon{#3} }
+ \IfNoValueF { #2 }
+ {
+ \cs_set:Npn #2 { 90 }
+ }
+ }
+ }
+
+
+%---- animations ---------------------------------------------------------------
+
+\bool_new:N \l__mermap_anim_drop_first_frame_bool
+\bool_new:N \l__mermap_anim_drop_last_frame_bool
+
+\fp_new:N \l__mermap_anim_a_lat_fp
+\fp_new:N \l__mermap_anim_a_lon_fp
+\fp_new:N \l__mermap_anim_a_scaledenom_fp
+\fp_new:N \l__mermap_anim_a_time_fp
+\fp_new:N \l__mermap_anim_b_lat_fp
+\fp_new:N \l__mermap_anim_b_lon_fp
+\fp_new:N \l__mermap_anim_b_scaledenom_fp
+\fp_new:N \l__mermap_anim_b_time_fp
+\fp_new:N \l_mermap_anim_angle_fp
+\fp_new:N \l_mermap_anim_lat_fp
+\fp_new:N \l_mermap_anim_lon_fp
+\fp_new:N \l_mermap_anim_scaledenom_fp
+\fp_new:N \l_mermap_anim_time_fp
+
+\int_new:N \l__mermap_anim_final_frame_int
+\int_new:N \l__mermap_anim_frames_int
+\int_new:N \l__mermap_anim_start_frame_int
+\int_new:N \l_mermap_anim_frame_int
+
+\seq_new:N \l__mermap_anim_scaledenom_seq
+
+\tl_new:N \l__mermap_anim_timescale_tl
+\tl_new:N \l__mermap_anim_timewarp_tl
+
+
+\NewExpandableDocumentCommand \mrcTimewarpIdentity { m }
+ {
+ #1
+ }
+
+\NewExpandableDocumentCommand \mrcTimewarpSlowStart { m m }
+ {
+ (#2)^(#1)
+ }
+
+\NewExpandableDocumentCommand \mrcTimewarpSlowFinal { m m }
+ {
+ 1 - (1-#2)^(#1)
+ }
+
+\NewExpandableDocumentCommand \mrcTimewarpSlowStartFinal { m m }
+ {
+ %1 - (1-#2)^(#1)
+ #2 <= 0.5
+ ? (2*(#2))^(#1) / 2
+ : 1 - (2-2*(#2))^(#1) / 2
+ }
+
+
+\NewDocumentEnvironment { mrcAnimation }{ m +b }
+ {
+ \keys_set:nn { mermap/anim }{ #1 }
+
+ \__mermap_anim_autocorrect_scaledenom_seq:
+ \int_compare:nNnT \l__mermap_anim_frames_int < 2
+ {
+ \int_set:Nn \l__mermap_anim_frames_int { 2 }
+ }
+ \bool_if:NTF \l__mermap_anim_drop_first_frame_bool
+ {
+ \int_set:Nn \l__mermap_anim_start_frame_int { 2 }
+ }
+ {
+ \int_set:Nn \l__mermap_anim_start_frame_int { 1 }
+ }
+ \bool_if:NTF \l__mermap_anim_drop_last_frame_bool
+ {
+ \int_set:Nn \l__mermap_anim_final_frame_int { \l__mermap_anim_frames_int-1 }
+ }
+ {
+ \int_set:Nn \l__mermap_anim_final_frame_int { \l__mermap_anim_frames_int }
+ }
+
+ \__mermap_setup_orthodrome:nnnn { \l__mermap_anim_a_lat_fp }{ \l__mermap_anim_a_lon_fp }
+ { \l__mermap_anim_b_lat_fp }{ \l__mermap_anim_b_lon_fp }
+
+ \__mermap_anim_pop_time_scale:NN \l__mermap_anim_a_time_fp \l__mermap_anim_a_scaledenom_fp
+ \__mermap_anim_pop_time_scale:NN \l__mermap_anim_b_time_fp \l__mermap_anim_b_scaledenom_fp
+
+ \int_step_variable:nnNn { \l__mermap_anim_start_frame_int }{ \l__mermap_anim_final_frame_int } \l_mermap_anim_frame_int
+ {
+ \fp_set:Nn \l_mermap_anim_time_fp { (\l_mermap_anim_frame_int-1)/(\l__mermap_anim_frames_int-1) }
+ \fp_set:Nn \l_mermap_anim_time_fp { \l__mermap_anim_timewarp_tl { \l_mermap_anim_time_fp } }
+
+ \__mermap_point_on_orthodrome:n { \l_mermap_anim_time_fp }
+ \fp_set_eq:NN \l_mermap_anim_lat_fp \l__mermap_cs_lat_fp
+ \fp_set_eq:NN \l_mermap_anim_lon_fp \l__mermap_cs_lon_fp
+ \__mermap_set_named_position{ AnimNP }{ \l_mermap_anim_lat_fp }{ \l_mermap_anim_lon_fp }
+
+ \__mermap_angle_at_orthodrome:
+ \fp_set_eq:NN \l_mermap_anim_angle_fp \l__mermap_alpha_fp
+
+ \fp_while_do:nNnn \l_mermap_anim_time_fp > \l__mermap_anim_b_time_fp
+ {
+ \fp_set_eq:NN \l__mermap_anim_a_time_fp \l__mermap_anim_b_time_fp
+ \fp_set_eq:NN \l__mermap_anim_a_scaledenom_fp \l__mermap_anim_b_scaledenom_fp
+ \__mermap_anim_pop_time_scale:NN \l__mermap_anim_b_time_fp \l__mermap_anim_b_scaledenom_fp
+ }
+ \fp_set:Nn \l_mermap_anim_scaledenom_fp
+ {
+ round ( exp (
+ ln(\l__mermap_anim_a_scaledenom_fp) +
+ ( ln(\l__mermap_anim_b_scaledenom_fp)-ln(\l__mermap_anim_a_scaledenom_fp) ) *
+ ( \l_mermap_anim_time_fp-\l__mermap_anim_a_time_fp ) / ( \l__mermap_anim_b_time_fp-\l__mermap_anim_a_time_fp )
+ ) )
+ }
+
+ #2
+ }
+ }{}
+
+
+\cs_new_protected:Npn \__mermap_anim_autocorrect_scaledenom_seq:
+ {
+ \seq_get_left:NN \l__mermap_anim_scaledenom_seq \l__mermap_anim_timescale_tl
+ \bool_lazy_any:nTF
+ {
+ { \seq_if_empty_p:N \l__mermap_anim_scaledenom_seq }
+ { \tl_if_empty_p:N \l__mermap_anim_timescale_tl }
+ { \quark_if_no_value_p:N \l__mermap_anim_timescale_tl }
+ }
+ {
+ \seq_set_split:Nnn \l__mermap_anim_scaledenom_seq { - }{ 0/25000 - 1/25000 },
+ }
+ {
+ \fp_compare:nNnF { \__mermap_anim_use_time:o \l__mermap_anim_timescale_tl } = 0
+ {
+ \seq_put_left:Ne \l__mermap_anim_scaledenom_seq { 0 / \__mermap_anim_use_scale:o \l__mermap_anim_timescale_tl }
+ }
+ }
+ \seq_get_right:NNF \l__mermap_anim_scaledenom_seq \l__mermap_anim_timescale_tl
+ {
+ \msg_error:nn{ mercatormap }{ anim-scaledenom-invalid }
+ }
+ \fp_compare:nNnF { \__mermap_anim_use_time:o \l__mermap_anim_timescale_tl } = 1
+ {
+ \seq_put_right:Ne \l__mermap_anim_scaledenom_seq { 1 / \__mermap_anim_use_scale:o \l__mermap_anim_timescale_tl }
+ }
+ \fp_set:Nn \l__mermap_anim_a_time_fp { -1 }
+ \seq_map_inline:Nn \l__mermap_anim_scaledenom_seq
+ {
+ \fp_set:Nn \l__mermap_anim_b_time_fp { \__mermap_anim_use_time:n { ##1 } }
+ \fp_compare:nNnTF \l__mermap_anim_a_time_fp < \l__mermap_anim_b_time_fp
+ {
+ \fp_set_eq:NN \l__mermap_anim_a_time_fp \l__mermap_anim_b_time_fp
+ }
+ {
+ \msg_error:nn{ mercatormap }{ anim-scaledenom-invalid }
+ }
+ }
+ }
+
+\cs_new_protected:Npn \__mermap_anim_pop_time_scale:NN #1#2
+ {
+ \seq_pop_left:NN \l__mermap_anim_scaledenom_seq \l__mermap_anim_timescale_tl
+ \fp_set:Nn #1 { \__mermap_anim_use_time:o \l__mermap_anim_timescale_tl }
+ \fp_set:Nn #2 { \__mermap_anim_use_scale:o \l__mermap_anim_timescale_tl }
+ }
+
+\msg_new:nnnn{ mercatormap }{ anim-scaledenom-invalid }
+ { The~animation~scale~denominator~sequence~is~invalid. }
+ {
+ Check~\seq_use:Nn \l__mermap_anim_scaledenom_seq { ~-~ }~with~the~documentation.~
+ Time~values~are~not~strictly~monotonically~increasing.
+ }
+
+\cs_new_protected_nopar:Npn \__mermap_anim_set_position:w #1 #2 / #3 \q_stop
+ {
+ \fp_set:cn { l__mermap_anim_#1_lat_fp }{ #2 }
+ \fp_set:cn { l__mermap_anim_#1_lon_fp }{ #3 }
+ }
+
+\cs_new_nopar:Npn \__mermap_anim_use_time:w #1 / #2 \q_stop
+ {
+ #1
+ }
+\cs_new_nopar:Npn \__mermap_anim_use_time:n #1
+ {
+ \__mermap_anim_use_time:w #1 \q_stop
+ }
+\cs_generate_variant:Nn \__mermap_anim_use_time:n { o }
+
+\cs_new_nopar:Npn \__mermap_anim_use_scale:w #1 / #2 \q_stop
+ {
+ #2
+ }
+\cs_new_nopar:Npn \__mermap_anim_use_scale:n #1
+ {
+ \__mermap_anim_use_scale:w #1 \q_stop
+ }
+\cs_generate_variant:Nn \__mermap_anim_use_scale:n { o }
+
+\keys_define:nn { mermap/anim }
+ {
+ start-position .code:n = \__mermap_anim_set_position:w { a } #1 \q_stop,
+ final-position .code:n = \__mermap_anim_set_position:w { b } #1 \q_stop,
+ position .meta:n = { start-position = #1, final-position = #1 },
+ named-start-position .code:n =
+ {
+ \fp_set:Nn \l__mermap_anim_a_lat_fp { \mrcNPlat{ #1 } }
+ \fp_set:Nn \l__mermap_anim_a_lon_fp { \mrcNPlon{ #1 } }
+ },
+ named-final-position .code:n =
+ {
+ \fp_set:Nn \l__mermap_anim_b_lat_fp { \mrcNPlat{ #1 } }
+ \fp_set:Nn \l__mermap_anim_b_lon_fp { \mrcNPlon{ #1 } }
+ },
+ named-position .meta:n = { named-start-position = #1, named-final-position = #1 },
+ frames .int_set:N = \l__mermap_anim_frames_int,
+ drop-first-frame .bool_set:N = \l__mermap_anim_drop_first_frame_bool,
+ drop-last-frame .bool_set:N = \l__mermap_anim_drop_last_frame_bool,
+ drop-no-frame .meta:n = { drop-first-frame=false, drop-last-frame=false },
+ scale-denominators .code:n = \seq_set_split:Nnn \l__mermap_anim_scaledenom_seq { - }{ #1 },
+ common-scale-denominator .meta:n = { scale-denominators = 0/#1 - 1/#1 },
+ timewarp .tl_set:N = \l__mermap_anim_timewarp_tl,
+ timewarp-identity .meta:n = { timewarp = \mrcTimewarpIdentity },
+ timewarp-slow-start .meta:n = { timewarp = \mrcTimewarpSlowStart{#1} },
+ timewarp-slow-start .default:n = 2,
+ timewarp-slow-final .meta:n = { timewarp = \mrcTimewarpSlowFinal{#1} },
+ timewarp-slow-final .default:n = 2,
+ timewarp-slow-start-final .meta:n = { timewarp = \mrcTimewarpSlowStartFinal{#1} },
+ timewarp-slow-start-final .default:n = 2,
+ }
+
+\keys_set:nn { mermap/anim }
+ {
+ position = 51.4779 / 0,
+ frames = 20,
+ drop-no-frame,
+ common-scale-denominator = 25000,
+ timewarp-identity,
+ }
+
+\NewExpandableDocumentCommand\mrcAnimFrame{}{\int_to_arabic:n \l_mermap_anim_frame_int}
+\NewExpandableDocumentCommand\mrcAnimTime{}{\fp_to_decimal:N \l_mermap_anim_time_fp}
+\NewExpandableDocumentCommand\mrcAnimScaleDenom{}{\fp_to_decimal:N \l_mermap_anim_scaledenom_fp}
+\NewExpandableDocumentCommand\mrcAnimLatitude{}{\fp_to_decimal:N \l_mermap_anim_lat_fp}
+\NewExpandableDocumentCommand\mrcAnimLongitude{}{\fp_to_decimal:N \l_mermap_anim_lon_fp}
+\NewExpandableDocumentCommand\mrcAnimAngle{}{\fp_to_decimal:N \l_mermap_anim_angle_fp}
+
%---- supplier -----------------------------------------------------------------