mirror of
https://github.com/csharpee/Map-Projections.git
synced 2025-12-11 00:00:15 -05:00
So... many... maps...
I decided to spruce up my input SVG generation code, and got very carried away. I moved some of the bigger or more specific files into an Advanced folder in input, and then I got the horrible idea to make a super detailed computer-generated map from Natural Earth data with labels for everything and fancy borders, and then I had to do it. It took a very long time. But it is complete. Check out Advanced\Supermap if you have a powerful enough computer. I also reorganised my code a bit and took better advantage of shapefiles.
This commit is contained in:
Justin Kunimune
parent
5e01e339b9
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@ -43,8 +43,8 @@ For some examples, check out the `output` folder. For more information, go to [j
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## Credits
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While I wrote all of the code in this repository myself, and I created several of the simpler images from scratch, other people did help. Here's a comprehensive list.
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* **The NASA** for [Basic.png](https://visibleearth.nasa.gov/view.php?id=57730), [Satellite.jpg](https://visibleearth.nasa.gov/view.php?id=57752), and [Altitude.png](https://asterweb.jpl.nasa.gov/gdem.asp),
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* **Tom Patterson** for [Clouds.jpg](http://www.shadedrelief.com/natural3/pages/textures.html), [Rivers.png](http://www.shadedrelief.com/natural3/pages/extra.html), and [Political.svg](https://commons.wikimedia.org/wiki/File:BlankMap-Equirectangular.svg),
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* **Natural Earth** for [Pastel.png](http://www.naturalearthdata.com/downloads/50m-raster-data/50m-natural-earth-2/) and their [vector coastline data](http://www.naturalearthdata.com/downloads/50m-physical-vectors/),
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* **Tom Patterson** for [Clouds.jpg](http://www.shadedrelief.com/natural3/pages/textures.html), [Rivers.png](http://www.shadedrelief.com/natural3/pages/extra.html),
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* **Natural Earth** for [Pastel.png](http://www.naturalearthdata.com/downloads/50m-raster-data/50m-natural-earth-2/) and their [detailed vector data](http://www.naturalearthdata.com/downloads/),
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* **The Apache Commons** for their [complex mathematics code](https://commons.apache.org/proper/commons-math/),
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* **Technische Universität Berlin** for their [complex mathematics code](http://www3.math.tu-berlin.de/jtem/ellipticFunctions/),
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* **Gene Keyes** for his [impressively in-depth documentation of his map projection](http://www.genekeyes.com/CKOG-OOo/7-CKOG-illus-&-coastline.html),
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input/Advanced/Supermap.svg
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@ -15,10 +15,10 @@
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<rdf:Description
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about="https://github.com/jkunimune15/Map-Projections/"
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dc:title="Equirectangular map - 5 degree graticule"
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dc:description="An Equirectangular graticule, showing all landmasses with 5 degree graticule."
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dc:description="An Equirectangular graticule, showing all landmasses with 5 degree graticule, including the Polar Circles and the Tropics."
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dc:creator="Justin Kunimune"
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dc:source="http://www.naturalearthdata.com/"
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dc:date="2018-01-15"
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dc:date="2018-02-04"
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dc:format="image/svg+xml"
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dc:language="en" >
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</rdf:Description>
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@ -35,7 +35,7 @@
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</metadata>
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<title>Equirectangular map – 5° graticule</title>
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<desc>
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An Equirectangular graticule, showing all landmasses with 5° graticule, including the Arctic Circle, the Antarctic Circle, and the Tropics.
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An Equirectangular graticule, showing all landmasses with 5° graticule, including the Polar Circles and the Tropics.
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</desc>
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<style>
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.graticule {
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@ -53,11 +53,11 @@
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}
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.tropics {
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stroke:#bf0000;
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stroke-dasharray:2;
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stroke-dasharray:1;
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}
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.circles {
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stroke:#0000bf;
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stroke-dasharray:2;
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stroke-dasharray:1;
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}
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</style>
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<g transform="matrix(1,0,0,-1,180,90)">
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@ -168,7 +168,6 @@
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<path class="prime-m" d="M0,-90v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1" />
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<path class="prime-m" d="M180,-90v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1v1" />
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<path class="equator" d="M-180,0h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1" />
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<path class="tropics" d="M-180,23.43694h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1h1" />
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Before Width: | Height: | Size: 53 KiB After Width: | Height: | Size: 52 KiB |
@ -18,7 +18,7 @@
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dc:description="A mesh of great circles that intersect with 10-fold symmetry at 12 principal nodes and 6-fold symmetry at 20 minor nodes. Aligns with the edges of an icosohedron and its dual dodecahedron."
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dc:creator="Justin Kunimune"
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dc:source="http://www.naturalearthdata.com/"
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dc:date="2018-01-15"
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dc:date="2018-02-04"
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dc:format="image/svg+xml"
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dc:language="en" >
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</rdf:Description>
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@ -33,46 +33,48 @@
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</cc:License>
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</rdf:RDF>
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</metadata>
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<title>Icosohedral orthodromic mesh - Equirectangular projection</title>
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<title>Icosohedral orthodromic mesh – Equirectangular projection</title>
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<desc>
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A mesh of great circles that intersect with 10-fold symmetry at 12 principal nodes and 6-fold symmetry at 20 minor nodes. Aligns with the edges of an icosohedron and its dual dodecahedron.
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</desc>
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<style>
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path {
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.lines {
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stroke:#000000;
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fill:none;
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}
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</style>
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<g transform="matrix(1,0,0,-1,180,90)">
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|
||||
</g>
|
||||
</g>
|
||||
</svg>
|
||||
|
||||
|
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1630
input/Political.svg
1630
input/Political.svg
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|
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|
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3431
input/Tissot.svg
3431
input/Tissot.svg
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|
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774
output/Unbiased Political.svg
Normal file
774
output/Unbiased Political.svg
Normal file
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|
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143
src/zupplemental/compose_maps.py
Normal file
143
src/zupplemental/compose_maps.py
Normal file
@ -0,0 +1,143 @@
|
||||
#compose_maps.py
|
||||
#make ALL the maps
|
||||
|
||||
import math
|
||||
|
||||
from generate_borders import generate_borders
|
||||
from generate_graticule import generate_graticule
|
||||
from generate_indicatrices import generate_indicatrices
|
||||
from generate_orthodromes import generate_orthodromes
|
||||
from generate_shape import generate_administrivia, generate_disputes, generate_fine_borders, generate_land, generate_rivers, generate_lakes
|
||||
from generate_labels import generate_topographical_labels, generate_political_labels, generate_urban_labels
|
||||
|
||||
|
||||
def compose_landmasses():
|
||||
print('\t<g transform="matrix(1,0,0,-1,180,90)">')
|
||||
print('\t\t<g class="land">')
|
||||
generate_land('ne_50m', trim_antarctica=True)
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="water">')
|
||||
generate_lakes('ne_50m', max_rank=4)
|
||||
print('\t\t</g>')
|
||||
print('\t</g>')
|
||||
|
||||
def compose_graticule():
|
||||
print('\t<g transform="matrix(1,0,0,-1,180,90)">')
|
||||
print('\t\t<g class="graticule">')
|
||||
generate_graticule(5, 1, include_tropics=True, adjust_poles=True)
|
||||
print('\t\t</g>')
|
||||
print('\t</g>')
|
||||
|
||||
def compose_graticule2():
|
||||
print('\t<g transform="matrix(1,0,0,-1,180,90)">')
|
||||
print('\t\t<g class="graticule">')
|
||||
generate_graticule(15, .25, include_tropics=True, adjust_poles=True, double_dateline=True)
|
||||
print('\t\t</g>')
|
||||
print('\t</g>')
|
||||
|
||||
def compose_compound():
|
||||
print('\t<g transform="matrix(1,0,0,-1,180,90)">')
|
||||
print('\t\t<g class="land">')
|
||||
generate_land('ne_50m', trim_antarctica=True)
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="river">')
|
||||
generate_rivers('ne_50m', max_rank=4)
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="lakes">')
|
||||
generate_lakes('ne_50m', max_rank=4)
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="graticule">')
|
||||
generate_graticule(15, 1, include_tropics=True, adjust_poles=True)
|
||||
print('\t\t</g>')
|
||||
print('\t</g>')
|
||||
|
||||
def compose_indicatrices():
|
||||
print('\t<g transform="matrix(1,0,0,-1,180,90)">')
|
||||
print('\t\t<g class="land">')
|
||||
generate_land('ne_50m', trim_antarctica=True)
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="lakes">')
|
||||
generate_lakes('ne_50m', max_rank=4)
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="tissot">')
|
||||
generate_indicatrices(15, math.radians(3.75), adjust_poles=True)
|
||||
print('\t\t</g>')
|
||||
print('\t</g>')
|
||||
|
||||
def compose_indicatrices2(ctr_meridian):
|
||||
print('\t<g transform="matrix(1,0,0,-1,180,90)">')
|
||||
print('\t\t<g class="land">')
|
||||
generate_land('ne_110m')
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="lakes">')
|
||||
generate_lakes('ne_110m')
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="graticule">')
|
||||
generate_graticule(10, 1, double_dateline=True)
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="tissot">')
|
||||
generate_indicatrices(30, 600/6371, ctr_meridian=ctr_meridian, adjust_poles=True)
|
||||
print('\t\t</g>')
|
||||
print('\t</g>')
|
||||
|
||||
def compose_political():
|
||||
print('\t<g transform="matrix(1,0,0,-1,180,90)">')
|
||||
print('\t\t<g class="country">')
|
||||
generate_borders('ne_50m', trim_antarctica=True)
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="lakes">')
|
||||
generate_lakes('ne_50m', max_rank=4)
|
||||
print('\t\t</g>')
|
||||
print('\t</g>')
|
||||
|
||||
def compose_orthodromes():
|
||||
print('\t<g transform="matrix(1,0,0,-1,180,90)">')
|
||||
print('\t\t<g class="lines">')
|
||||
generate_orthodromes()
|
||||
print('\t\t</g>')
|
||||
print('\t</g>')
|
||||
|
||||
def compose_everything():
|
||||
print('\t<g transform="matrix(1,0,0,-1,180,90)">')
|
||||
print('\t\t<g class="country">')
|
||||
generate_borders('ne_50m', trim_antarctica=True, borders_only=False)
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="sovereign">')
|
||||
generate_fine_borders('ne_50m')
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="dispute">')
|
||||
generate_disputes('ne_50m')
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="adminis">')
|
||||
generate_administrivia('ne_50m')
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="land">')
|
||||
generate_land('ne_50m', trim_antarctica=True)
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="river">')
|
||||
generate_rivers('ne_50m')
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="lakes">')
|
||||
generate_lakes('ne_50m')
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="border">')
|
||||
generate_borders('ne_50m', trim_antarctica=True, borders_only=True)
|
||||
print('\t\t</g>')
|
||||
print('\t\t<g class="graticule">')
|
||||
generate_graticule(5, 1, include_tropics=True, adjust_poles=True)
|
||||
print('\t\t</g>')
|
||||
print('\t</g>')
|
||||
generate_topographical_labels('ne_50m')
|
||||
generate_political_labels('ne_50m')
|
||||
generate_urban_labels('ne_50m')
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
# compose_landmasses()
|
||||
# compose_graticule()
|
||||
# compose_compound()
|
||||
# compose_indicatrices()
|
||||
# compose_indicatrices2(-20)
|
||||
# compose_political()
|
||||
# compose_orthodromes()
|
||||
compose_everything()
|
||||
50
src/zupplemental/generate_borders.py
Normal file
50
src/zupplemental/generate_borders.py
Normal file
@ -0,0 +1,50 @@
|
||||
import shapefile
|
||||
|
||||
from helpers import plot, trim_edges
|
||||
|
||||
|
||||
SIZE_CLASSES = ['lg', 'md', 'sm', None, None, None]
|
||||
|
||||
|
||||
def generate_borders(source, borders_only=False, labels=False, self_clip=False, trim_antarctica=False):
|
||||
"""data from http://www.naturalearthdata.com/"""
|
||||
sf = shapefile.Reader("data/{}_admin_0_countries".format(source))
|
||||
sovereigns = {} #key is 3-char code, value is list of (record,shape)
|
||||
for record, shape in zip(sf.records(), sf.shapes()):
|
||||
if trim_antarctica:
|
||||
if record[4] == 'ATA': #if it is Antarctica
|
||||
shape.points = trim_edges(shape.points)
|
||||
|
||||
sovereigns[record[4]] = sovereigns.get(record[4], []) + [(record, shape)]
|
||||
|
||||
for code in sorted(sovereigns.keys()):
|
||||
for record, shape in sovereigns[code]:
|
||||
if record[3] == record[8]:
|
||||
country_code = record[12]
|
||||
# metropole = (record, shape)
|
||||
# sovereigns[code].remove(metropole) #move the metropole to the front
|
||||
# sovereigns[code] = [metropole] + sovereigns[code]
|
||||
# break
|
||||
print('\t\t\t<g id="{}">'.format(country_code))
|
||||
for record, shape in sovereigns[code]:
|
||||
x1, y1, x2, y2 = shape.bbox
|
||||
x = (x1+x2)/2
|
||||
y = (y1+y2)/2
|
||||
region_code = record[12]
|
||||
if country_code == region_code: #metropole
|
||||
# name = record[3]
|
||||
text_size = SIZE_CLASSES[int(record[2]-2)]
|
||||
else: #dependency
|
||||
# name = '{} ({})'.format(record[8], record[3])
|
||||
text_size = SIZE_CLASSES[int(record[2]-1)]
|
||||
# if labels:
|
||||
# if text_size is not None:
|
||||
# print('\t\t\t\t<text class="label-{}" x="{:.3f}" y="{:.3f}">{}</text>'.format(text_size, x, y, name))
|
||||
if borders_only:
|
||||
print('\t\t\t\t<clipPath id="{0}-clipPath">'.format(region_code))
|
||||
print('\t\t\t\t\t<use href="#{0}-shape" />'.format(region_code))
|
||||
print('\t\t\t\t</clipPath>')
|
||||
print('\t\t\t\t<use href="#{0}-shape" style="fill:none; clip-path:url(#{0}-clipPath);" />'.format(region_code))
|
||||
else:
|
||||
plot(shape.points, midx=shape.parts, close=False, fourmat='xd', tabs=4, ident="{0}-shape".format(region_code))
|
||||
print('\t\t\t</g>')
|
||||
@ -6,72 +6,17 @@ from helpers import plot, is_widdershins
|
||||
|
||||
|
||||
SOURCE = 'ne_50m'
|
||||
SKIP = 1
|
||||
EXPAND_ANTARCTICA = True
|
||||
MAX_RANK = 2
|
||||
TRIM_ANTARCTICA = False
|
||||
MAX_RANK = float('inf')
|
||||
|
||||
|
||||
"""data from http://www.naturalearthdata.com/"""
|
||||
sf = shapefile.Reader("data/{}_coastline".format(SOURCE))
|
||||
pending_coasts = {} #key is last endpoint, value is list of points; every point should appear exactly twice, in each direction
|
||||
split_points = {} #key is first endpoint of master curve, value is list of indices where the curve must be split
|
||||
final_coasts = []
|
||||
sf = shapefile.Reader("data/{}_land".format(SOURCE))
|
||||
for record, shape in zip(sf.records(), sf.shapes()):
|
||||
curve = shape.points[0:len(shape.points):SKIP]
|
||||
if curve[-1] != shape.points[-1]: curve.append(shape.points[-1])
|
||||
if len(curve) < 4: continue
|
||||
if float(record[2]) > MAX_RANK: continue
|
||||
|
||||
if curve[0] == curve[-1]: #this curve is complete; we're done here
|
||||
final_coasts.append(curve)
|
||||
else:
|
||||
if curve[0] in pending_coasts: #if this is an extension of another path
|
||||
curve = pending_coasts.pop(curve[0]) + curve[1:] #replace that
|
||||
elif curve[-1] in pending_coasts: #if this reversed is an extension of another path
|
||||
curve = pending_coasts.pop(curve[-1]) + list(reversed(curve[:-1])) #replace that
|
||||
pending_coasts[curve[-1]] = curve
|
||||
pending_coasts[curve[0]] = list(reversed(curve))
|
||||
|
||||
# for key in pending_coasts:
|
||||
# assert pending_coasts[key][-1] == key, "The curve from {} to {} is keyed by {}".format(val[0], val[-1], key)
|
||||
# assert pending_coasts[key][0] in pending_coasts, "{} keys to a curve from {} to {}, but there is no key {}".format(key, val[0], val[-1], val[0])
|
||||
|
||||
for key, coast in pending_coasts.items():
|
||||
if pending_coasts[coast[0]] is not None: #if the mirror is not checked
|
||||
final_coasts.append(coast if is_widdershins(coast) else pending_coasts[coast[0]])
|
||||
pending_coasts[key] = None #mark this as checked
|
||||
|
||||
final_coasts = sorted(sorted(sorted(final_coasts, key=lambda c:c[0][0]), key=lambda c:c[0][1]), key=len, reverse=True)
|
||||
if SOURCE == 'ne_10m':
|
||||
afroeurasia = final_coasts[1]
|
||||
split_points[afroeurasia[0]] = [len(afroeurasia)]
|
||||
final_coasts[1] += final_coasts.pop(12) #manually attach the Caspian to Afroeurasia
|
||||
else:
|
||||
afroeurasia = final_coasts[0]
|
||||
for i in range(1,len(afroeurasia)):
|
||||
if math.hypot(afroeurasia[i][0]-afroeurasia[i-1][0], afroeurasia[i][1]-afroeurasia[i-1][1]) > 10:
|
||||
split_points[afroeurasia[0]] = [i] #manually detach the Caspian from Afroeurasia
|
||||
break
|
||||
if EXPAND_ANTARCTICA:
|
||||
antarctica = final_coasts[2]
|
||||
final_coasts[2] = [(antarctica[0][0], y) for y in range(-90, math.ceil(antarctica[0][1]))] +\
|
||||
antarctica + [(antarctica[-1][0], y) for y in range(math.floor(antarctica[-1][1]), -91, -1)]
|
||||
|
||||
sf = shapefile.Reader("data/{}_lakes".format(SOURCE))
|
||||
for record, lake in zip(sf.records(), sf.shapes()):
|
||||
if float(record[-2]) > MAX_RANK: #if this lake isn't important enough
|
||||
continue #skip it
|
||||
|
||||
x1l, y1l, x2l, y2l = lake.bbox
|
||||
for i, continent in enumerate(final_coasts):
|
||||
xc, yc = zip(*continent)
|
||||
x1c, y1c, x2c, y2c = min(xc), min(yc), max(xc), max(yc)
|
||||
if x1c < x1l and y1c < y1l and x2c > x2l and y2c > y2l: #if this continent contains this lake
|
||||
curve = lake.points[0:len(lake.points):SKIP]
|
||||
if curve[-1] != lake.points[-1]: curve.append(lake.points[-1])
|
||||
split_points[continent[0]] = split_points.get(continent[0], []) + [len(continent)+p for p in lake.parts] #mark the movetos
|
||||
final_coasts[i] = continent + curve #add it
|
||||
break
|
||||
|
||||
for coast in final_coasts:
|
||||
midx = [0] + split_points.get(coast[0], [])
|
||||
plot(coast, midx=midx, fourmat='xd', close=False)
|
||||
if TRIM_ANTARCTICA:
|
||||
if shape.points[0][0] == -180 and shape.points[0][1] < -80: #if it is Antarctica
|
||||
coast = shape.points
|
||||
shape.points = [(coast[0][0],y) for y in range(-90,int(coast[0][1]))] + coast + [(coast[-1][0],y) for y in range(int(coast[-1][1]),-91,-1)]
|
||||
plot(shape.points, midx=shape.parts, close=False, fourmat='xd')
|
||||
|
||||
@ -1,34 +1,30 @@
|
||||
import math
|
||||
|
||||
|
||||
GRATICULE = 15
|
||||
INCLUDE_TROPICS = True
|
||||
ADJUST_POLES = True #set to True to reduce the number of meridians as you approach the pole
|
||||
GRANULARITY = .25
|
||||
|
||||
AXIAL_TILT = 23.43694
|
||||
ANTI_TILT = 66.56306
|
||||
ANTI_TILT = 66.56306 #I have both of these because it's the easiest way to deal with roundoff
|
||||
|
||||
|
||||
def plot_meridian(lamd, cut=0, clazz=None):
|
||||
def plot_meridian(lamd, granularity, cut=0, clazz=None):
|
||||
class_attr = 'class="{}" '.format(clazz) if clazz is not None else ''
|
||||
tag = '\t\t\t<path {}d="M{},{}'.format(class_attr, lamd, cut-90) + 'v{}'.format(GRANULARITY)*round((180-2*cut)/GRANULARITY) + '" />'
|
||||
tag = '\t\t\t<path {}d="M{},{}'.format(class_attr, lamd, cut-90) + 'v{}'.format(granularity)*round((180-2*cut)/granularity) + '" />'
|
||||
print(tag)
|
||||
|
||||
|
||||
def plot_parallel(phid, cut=0, clazz=None):
|
||||
def plot_parallel(phid, granularity, cut=0, clazz=None):
|
||||
class_attr = 'class="{}" '.format(clazz) if clazz is not None else ''
|
||||
tag = '\t\t\t<path {}d="M{},{}'.format(class_attr, cut-180, phid) + 'h{}'.format(GRANULARITY)*round((360-2*cut)/GRANULARITY) + '" />'
|
||||
tag = '\t\t\t<path {}d="M{},{}'.format(class_attr, cut-180, phid) + 'h{}'.format(granularity)*round((360-2*cut)/granularity) + '" />'
|
||||
print(tag)
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
NUM_BASE = 90//GRATICULE
|
||||
def generate_graticule(spacing, granularity, include_tropics=False, adjust_poles=False, double_dateline=False):
|
||||
"""Generate a mesh of latitude and longitude lines"""
|
||||
NUM_BASE = 90//spacing
|
||||
cuts = [0]*(4*NUM_BASE)
|
||||
if ADJUST_POLES:
|
||||
if adjust_poles: #if this is True, reduce the number of meridians as you approach the pole
|
||||
old_num = 1
|
||||
for p in range(0, 90, GRATICULE):
|
||||
new_num = old_num*int(1/math.cos(math.radians(p+GRATICULE/2))/old_num)
|
||||
for p in range(0, 90, spacing):
|
||||
new_num = old_num*int(1/math.cos(math.radians(p+spacing/2))/old_num)
|
||||
while NUM_BASE%new_num != 0: new_num -= 1
|
||||
if new_num >= 2*old_num:
|
||||
for i in range(len(cuts)):
|
||||
@ -36,17 +32,17 @@ if __name__ == '__main__':
|
||||
cuts[i] = 90-p
|
||||
old_num = new_num
|
||||
|
||||
for x in range(GRATICULE, 180, GRATICULE):
|
||||
plot_meridian(-x, cut=cuts[x//GRATICULE%len(cuts)])
|
||||
plot_meridian(x, cut=cuts[x//GRATICULE%len(cuts)])
|
||||
for y in range(GRATICULE, 90, GRATICULE):
|
||||
plot_parallel(-y)
|
||||
plot_parallel(y)
|
||||
for x in [-180, 0, 180]:
|
||||
plot_meridian(x, clazz="prime-m")
|
||||
plot_parallel(0, clazz="equator")
|
||||
if INCLUDE_TROPICS:
|
||||
plot_parallel(-AXIAL_TILT, clazz="tropics")
|
||||
plot_parallel(AXIAL_TILT, clazz="tropics")
|
||||
plot_parallel(-ANTI_TILT, clazz="circles")
|
||||
plot_parallel(ANTI_TILT, clazz="circles")
|
||||
for x in range(spacing, 180, spacing):
|
||||
plot_meridian(-x, granularity, cut=cuts[x//spacing%len(cuts)])
|
||||
plot_meridian(x, granularity, cut=cuts[x//spacing%len(cuts)])
|
||||
for y in range(spacing, 90, spacing):
|
||||
plot_parallel(-y, granularity)
|
||||
plot_parallel(y, granularity)
|
||||
for x in [-180, 0, 180] if double_dateline else [-180, 0]:
|
||||
plot_meridian(x, granularity, clazz="prime-m")
|
||||
plot_parallel(0, granularity, clazz="equator")
|
||||
if include_tropics:
|
||||
plot_parallel(-AXIAL_TILT, granularity, clazz="tropics")
|
||||
plot_parallel(AXIAL_TILT, granularity, clazz="tropics")
|
||||
plot_parallel(-ANTI_TILT, granularity, clazz="circles")
|
||||
plot_parallel(ANTI_TILT, granularity, clazz="circles")
|
||||
|
||||
@ -3,55 +3,53 @@ import math
|
||||
from helpers import obliquify, plot
|
||||
|
||||
|
||||
IND_NUM = 360
|
||||
# IND_RAD = math.radians(3.75)
|
||||
IND_RAD = 750/6371
|
||||
SPACING = 30
|
||||
ADJUST_SPACING = True
|
||||
# IND_RAD = 750/6371
|
||||
|
||||
|
||||
def plot_indicatrix(phi0, lam0, r):
|
||||
def plot_indicatrix(phi0, lam0, r, res):
|
||||
points = []
|
||||
for l in range(0, 360, 360//IND_NUM):
|
||||
for l in range(0, 360, 360//res):
|
||||
points.append(obliquify(math.pi/2-r, math.radians(l), phi0, lam0))
|
||||
plot(points)
|
||||
|
||||
|
||||
def plot_side_indicatrix(phi0, r):
|
||||
def plot_side_indicatrix(phi0, r, res):
|
||||
points = []
|
||||
midx = [0]
|
||||
for l in range(0, 181, 360//IND_NUM):
|
||||
points.append(obliquify(math.pi/2-r, math.radians(l), phi0, -math.pi))
|
||||
for l in range(0, 181, 360//res):
|
||||
pr, lr = obliquify(math.pi/2-r, math.radians(l), phi0, 0)
|
||||
points.append((pr, lr - math.pi))
|
||||
midx.append(len(points))
|
||||
for l in range(180, 361, 360//IND_NUM):
|
||||
pr, lr = obliquify(math.pi/2-r, math.radians(l), phi0, -math.pi)
|
||||
points.append((pr, lr+2*math.pi))
|
||||
for l in range(180, 361, 360//res):
|
||||
pr, lr = obliquify(math.pi/2-r, math.radians(l), phi0, 0)
|
||||
points.append((pr, lr + math.pi))
|
||||
plot(points, midx=midx, close=False)
|
||||
|
||||
|
||||
def plot_pole_indicatrix(north, r):
|
||||
def plot_pole_indicatrix(north, r, res):
|
||||
if north:
|
||||
pp, pr = math.pi/2, math.pi/2-r
|
||||
else:
|
||||
pp, pr = -math.pi/2, -math.pi/2+r
|
||||
|
||||
points = [(pp, -math.pi)]
|
||||
for x in range(-180, 181, 360//IND_NUM):
|
||||
for x in range(-180, 181, 360//res):
|
||||
points.append((pr, math.radians(x)))
|
||||
points.append((pp, math.pi))
|
||||
plot(points)
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
plot_pole_indicatrix(True, IND_RAD)
|
||||
for y in range(-90+SPACING, 90, SPACING):
|
||||
if ADJUST_SPACING:
|
||||
step = SPACING * round(1/math.cos(math.radians(y)))
|
||||
def generate_indicatrices(spacing, radius, adjust_poles=False, resolution=60, ctr_meridian=0):
|
||||
plot_pole_indicatrix(True, radius, resolution)
|
||||
for y in range(-90+spacing, 90, spacing):
|
||||
if adjust_poles:
|
||||
step = spacing * round(1/math.cos(math.radians(y)))
|
||||
else:
|
||||
step = SPACING
|
||||
step = spacing
|
||||
for x in range(-180, 180, step):
|
||||
if abs(x) == 180:
|
||||
plot_side_indicatrix(math.radians(y), math.pi/36)
|
||||
if abs(x+ctr_meridian) == 180:
|
||||
plot_side_indicatrix(math.radians(y), radius, resolution)
|
||||
else:
|
||||
plot_indicatrix(math.radians(y), math.radians(x), IND_RAD)
|
||||
plot_pole_indicatrix(False, IND_RAD)
|
||||
plot_indicatrix(math.radians(y), math.radians(x+ctr_meridian), radius, resolution)
|
||||
plot_pole_indicatrix(False, radius, resolution)
|
||||
|
||||
58
src/zupplemental/generate_labels.py
Normal file
58
src/zupplemental/generate_labels.py
Normal file
@ -0,0 +1,58 @@
|
||||
#read data from a shapefile into SVG format
|
||||
|
||||
import shapefile
|
||||
import math
|
||||
|
||||
from helpers import line_break, get_centroid
|
||||
|
||||
|
||||
def plot_texts(data, label_class, source, max_rank, regulate_case=False, secondary_attr=None, force_points=False):
|
||||
"""data from http://www.naturalearthdata.com/"""
|
||||
sf = shapefile.Reader("data/{}_{}".format(source, data))
|
||||
lat_idx = None
|
||||
for i, field in enumerate(sf.fields):
|
||||
if field[0] in ['scalerank', 'LABELRANK']:
|
||||
rank_idx = i-1
|
||||
if field[0] in ['name', 'NAME']:
|
||||
name_idx = i-1
|
||||
if field[0] == 'featurecla':
|
||||
type_idx = i-1
|
||||
if field[0] == secondary_attr:
|
||||
secd_idx = i-1
|
||||
if field[0] == 'lat_y':
|
||||
lat_idx = i-1
|
||||
if field[0] == 'long_x':
|
||||
lon_idx = i-1
|
||||
for record, shape in zip(sf.records(), sf.shapes()):
|
||||
rank = record[rank_idx]
|
||||
if rank <= max_rank:
|
||||
if lat_idx is not None:
|
||||
x, y = record[lon_idx], record[lat_idx]
|
||||
else:
|
||||
x, y = get_centroid(shape.points, shape.parts)
|
||||
label = record[name_idx]
|
||||
if not label:
|
||||
continue #we can't waste our time worrying about features with no names
|
||||
if label == 'EUROPE':
|
||||
rank += 1 #You're not a continent! Get over it!
|
||||
if regulate_case:
|
||||
label = label.upper()
|
||||
if secondary_attr is not None and record[7] == 'Dependency':
|
||||
label = "{} ({})".format(label, record[secd_idx]) #indicate dependencies
|
||||
text_size = ['sm', 'md', 'lg', 'xl'][min(3, int(max_rank-rank))] #lower ranks get bigger text
|
||||
print('\t<text class="label-{} label-{}" x="{:.03f}" y="{:.03f}">{}</text>'.format(
|
||||
label_class, text_size, 180+x, 90-y, label))
|
||||
if force_points or record[type_idx] in ['mountain', 'depression', 'pole', 'waterfall']: #add circles to the ones that need markers
|
||||
print('\t<circle cx="{:.03f}" cy="{:.03f}" r="{:.03f}" />'.format(180+x, 90-y, math.sqrt(max_rank-rank+1)*0.15))
|
||||
|
||||
def generate_political_labels(source, max_rank=4):
|
||||
plot_texts('admin_0_countries', 'pol', source, max_rank, secondary_attr='NOTE_ADM0')
|
||||
|
||||
def generate_topographical_labels(source, max_rank=2):
|
||||
plot_texts('geography_regions_points', 'geo', source, max_rank)
|
||||
plot_texts('geography_regions_polys', 'geo', source, max_rank, regulate_case=True)
|
||||
plot_texts('geography_regions_elevation_points', 'geo', source, max_rank)
|
||||
plot_texts('geography_marine_polys', 'sea', source, max_rank)
|
||||
|
||||
def generate_urban_labels(source, max_rank=1):
|
||||
plot_texts('populated_places', 'pol', source, max_rank, force_points=True)
|
||||
29
src/zupplemental/generate_lakes.py
Normal file
29
src/zupplemental/generate_lakes.py
Normal file
@ -0,0 +1,29 @@
|
||||
import math
|
||||
import numpy as np
|
||||
import shapefile
|
||||
|
||||
from helpers import plot
|
||||
|
||||
|
||||
SOURCE = 'ne_50m'
|
||||
SKIP = 1
|
||||
MAX_RANK = 2
|
||||
INCLUDE_LAKES = False
|
||||
|
||||
|
||||
"""data from http://www.naturalearthdata.com/"""
|
||||
sf = shapefile.Reader("data/{}_lakes".format(SOURCE))
|
||||
for record, lake in zip(sf.records(), sf.shapes()):
|
||||
if float(record[-2]) > MAX_RANK: #if this lake isn't important enough
|
||||
continue #skip it
|
||||
|
||||
x1l, y1l, x2l, y2l = lake.bbox
|
||||
for i, continent in enumerate(final_coasts):
|
||||
xc, yc = zip(*continent)
|
||||
x1c, y1c, x2c, y2c = min(xc), min(yc), max(xc), max(yc)
|
||||
if x1c < x1l and y1c < y1l and x2c > x2l and y2c > y2l: #if this continent contains this lake
|
||||
curve = lake.points[0:len(lake.points):SKIP]
|
||||
if curve[-1] != lake.points[-1]: curve.append(lake.points[-1])
|
||||
split_points[continent[0]] = split_points.get(continent[0], []) + [len(continent)+p for p in lake.parts] #mark the movetos
|
||||
final_coasts[i] = continent + curve #add it
|
||||
break
|
||||
@ -14,7 +14,8 @@ def plot_orthodrome(phi0, lam0, tht0):
|
||||
plot(points, close=False)
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
def generate_orthodromes():
|
||||
"""generate an icosohedral orthodromic mesh, like the Brilliant logo (#notsponsored)"""
|
||||
for l in range(-180, 180, 36):
|
||||
plot_orthodrome(math.pi/2, 0, math.radians(l))
|
||||
for l in range(0, 360, 72):
|
||||
|
||||
38
src/zupplemental/generate_shape.py
Normal file
38
src/zupplemental/generate_shape.py
Normal file
@ -0,0 +1,38 @@
|
||||
#read data from a shapefile into SVG format
|
||||
|
||||
import shapefile
|
||||
|
||||
from helpers import plot, trim_edges
|
||||
|
||||
|
||||
def plot_shape(data, source, max_rank, trim_antarctica=False):
|
||||
"""data from http://www.naturalearthdata.com/"""
|
||||
sf = shapefile.Reader("data/{}_{}".format(source, data))
|
||||
for i, field in enumerate(sf.fields):
|
||||
if 'rank' in field[0]:
|
||||
rank_idx = i-1
|
||||
for record, shape in zip(sf.records(), sf.shapes()):
|
||||
if record[rank_idx] <= max_rank:
|
||||
if trim_antarctica:
|
||||
if shape.points[0][1] < -60: #if it is Antarctica (this will have a few false positives, but that's fine)
|
||||
shape.points = trim_edges(shape.points)
|
||||
|
||||
plot(shape.points, midx=shape.parts, close=False, fourmat='xd')
|
||||
|
||||
def generate_fine_borders(source, max_rank=float('inf')):
|
||||
plot_shape('admin_0_map_units', source, max_rank)
|
||||
|
||||
def generate_disputes(source, max_rank=float('inf')):
|
||||
plot_shape('admin_0_boundary_lines_disputed_areas', source, max_rank)
|
||||
|
||||
def generate_administrivia(source, max_rank=float('inf')):
|
||||
plot_shape('admin_1_states_provinces_lines', source, max_rank)
|
||||
|
||||
def generate_land(source, max_rank=float('inf'), trim_antarctica=False):
|
||||
plot_shape('land', source, max_rank, trim_antarctica=trim_antarctica)
|
||||
|
||||
def generate_rivers(source, max_rank=float('inf')):
|
||||
plot_shape('rivers_lake_centerlines', source, max_rank)
|
||||
|
||||
def generate_lakes(source, max_rank=float('inf')):
|
||||
plot_shape('lakes', source, max_rank)
|
||||
@ -1,4 +1,5 @@
|
||||
import math
|
||||
import random as rng
|
||||
|
||||
|
||||
def obliquify(lat1, lon1, lat0, lon0):
|
||||
@ -21,14 +22,20 @@ def obliquify(lat1, lon1, lat0, lon0):
|
||||
|
||||
while lonf > math.pi:
|
||||
lonf -= 2*math.pi
|
||||
while lonf < -math.pi:
|
||||
lonf += 2*math.pi
|
||||
|
||||
return latf, lonf
|
||||
|
||||
|
||||
def plot(coords, midx=[0], close=True, fourmat='pr'):
|
||||
tag = '\t\t\t<path d="'
|
||||
def plot(coords, midx=[0], close=True, fourmat='pr', clazz=None, ident=None, tabs=3):
|
||||
class_attr = 'class="{}" '.format(clazz) if clazz is not None else ''
|
||||
ident_attr = 'id="{}" '.format(ident) if ident is not None else ''
|
||||
tag = '\t'*tabs+'<path {}{}d="'.format(class_attr, ident_attr)
|
||||
last_move = None
|
||||
for i, coord in enumerate(coords):
|
||||
if i > 0 and coords[i-1] == coords[i]:
|
||||
continue #no point repeating commands, though that sometimes happens
|
||||
if coord == last_move:
|
||||
tag += 'Z'
|
||||
continue #save space by removing unnecessary repetitions
|
||||
@ -51,9 +58,76 @@ def plot(coords, midx=[0], close=True, fourmat='pr'):
|
||||
print(tag.replace('.000',''))
|
||||
|
||||
|
||||
def is_widdershins(coords): #this method is not exact, but it should work well enough for my purposes.
|
||||
x1, y1 = coords[0]
|
||||
x2, y2 = coords[len(coords)//4]
|
||||
x3, y3 = coords[len(coords)*3//4]
|
||||
def trim_edges(coast):
|
||||
"""remove the extra points placed along the edges of the Plate Carree map"""
|
||||
for i in range(len(coast)-1, -1, -1):
|
||||
x0, y0 = coast[i-1] if i > 0 else coast[i]
|
||||
x1, y1 = coast[i]
|
||||
x2, y2 = coast[i+1] if i < len(coast)-1 else coast[i]
|
||||
if (abs(x0) > 179.99 or abs(y0) > 89.99) and (abs(x1) > 179.99 or abs(y1) > 89.99) and (abs(x2) > 179.99 or abs(y2) > 89.99):
|
||||
coast.pop(i)
|
||||
return coast
|
||||
|
||||
return (x2-x1)*(y3-y1) - (x3-x1)*(y2-y1) > 0
|
||||
|
||||
def line_break(line):
|
||||
"""replace some space with a newline; whichever space is closest to the center"""
|
||||
total_length = len(line)
|
||||
words = line.split(' ')
|
||||
best_length = float('inf')
|
||||
left_length = 0
|
||||
for i in range(len(words)-1):
|
||||
left_length += len(words[i])+1
|
||||
if max(left_length, total_length-left_length) < best_length:
|
||||
best_length = max(left_length, total_length-left_length)
|
||||
best_idx = left_length
|
||||
return line[:best_idx-1] + '\n' + line[best_idx:]
|
||||
|
||||
|
||||
def get_centroid(points, parts=None):
|
||||
"""Compute the centroid of the spherical shape"""
|
||||
minL = min([p[0] for p in points])
|
||||
minP = min([p[1] for p in points])
|
||||
maxL = max([p[0] for p in points])
|
||||
maxP = max([p[1] for p in points])
|
||||
|
||||
if maxL-minL < 90:
|
||||
return ((maxL+minL)/2, (maxP+minP)/2)
|
||||
elif parts: #if there are multiple parts, try guessing the centroid of just one; the biggest one by bounding box
|
||||
parts.append(len(points))
|
||||
max_area = 0
|
||||
for i in range(1, len(parts)):
|
||||
part = points[parts[i-1]:parts[i]]
|
||||
minL = min([p[0] for p in part])
|
||||
minP = min([p[1] for p in part])
|
||||
maxL = max([p[0] for p in part])
|
||||
maxP = max([p[1] for p in part])
|
||||
if (maxL-minL)*(maxP-minP) > max_area:
|
||||
max_area = (maxL-minL)*(maxP-minP)
|
||||
best_part = (parts[i-1], parts[i])
|
||||
return get_centroid(points[best_part[0]:best_part[1]])
|
||||
|
||||
lines = []
|
||||
for i in range(1, len(points)):
|
||||
lines += [(*points[i-1], *points[i])]
|
||||
xc, yc, zc = 0, 0, 0
|
||||
j = 0
|
||||
num_in = 0
|
||||
while j < 4000 or num_in < 10:
|
||||
j += 1
|
||||
latr = math.asin(rng.random()*2-1)
|
||||
lonr = rng.random()*2*math.pi - math.pi
|
||||
latd, lond = math.degrees(latr), math.degrees(lonr)
|
||||
num_crosses = 0
|
||||
for l1, p1, l2, p2 in lines: #count the lines a northward ray crosses
|
||||
if ((l1 <= lond and l2 > lond) or (l2 <= lond and l1 > lond)) and (p1*(l2-lond)/(l2-l1) + p2*(l1-lond)/(l1-l2) > latd):
|
||||
num_crosses += 1
|
||||
|
||||
if num_crosses%2 == 1: #if odd,
|
||||
num_in += 1
|
||||
xc += math.cos(latr)*math.cos(lonr) #this point is in.
|
||||
yc += math.cos(latr)*math.sin(lonr) #update the centroid
|
||||
zc += math.sin(latr)
|
||||
|
||||
loncr = math.atan2(yc, xc)
|
||||
latcr = math.atan2(zc, math.hypot(xc, yc))
|
||||
return (math.degrees(loncr), math.degrees(latcr))
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user