diff --git a/README.md b/README.md index 1a31b99..65ebd55 100644 --- a/README.md +++ b/README.md @@ -43,8 +43,8 @@ For some examples, check out the `output` folder. For more information, go to [j ## Credits 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. * **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), -* **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), -* **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/), +* **Tom Patterson** for [Clouds.jpg](http://www.shadedrelief.com/natural3/pages/textures.html), [Rivers.png](http://www.shadedrelief.com/natural3/pages/extra.html), +* **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/), * **The Apache Commons** for their [complex mathematics code](https://commons.apache.org/proper/commons-math/), * **Technische Universität Berlin** for their [complex mathematics code](http://www3.math.tu-berlin.de/jtem/ellipticFunctions/), * **Gene Keyes** for his [impressively in-depth documentation of his map projection](http://www.genekeyes.com/CKOG-OOo/7-CKOG-illus-&-coastline.html), diff --git a/input/Advanced/Supermap.svg b/input/Advanced/Supermap.svg new file mode 100644 index 0000000..8f0ef66 --- /dev/null +++ b/input/Advanced/Supermap.svg @@ -0,0 +1,6319 @@ + + + + + + + + + + + + + + + + + + + Equirectangular map of the world – political borders and topographical features + + A map of the world, showing all countries recognised by the UN as SVG paths, with rivers and lakes overlaid. Borders precise to 50 km. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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Coastlines precise to 110 km. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/input/Advanced/Tissot Wikipedia -20.svg b/input/Advanced/Tissot Wikipedia -20.svg new file mode 100644 index 0000000..5d4ab36 --- /dev/null +++ b/input/Advanced/Tissot Wikipedia -20.svg @@ -0,0 +1,334 @@ + + + + + + + + + + + + + + + + + + + Equirectangular map of the world – coastlines, graticule, and indicatrices + + A map of the world, showing all landmasses with 10° graticule and Tissot's indicatrices of radius 750 km and spacing 30°. Coastlines precise to 110 km. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/input/Basic.svg b/input/Basic.svg index 900d840..38d9dc2 100644 --- a/input/Basic.svg +++ b/input/Basic.svg @@ -15,10 +15,10 @@ @@ -35,7 +35,7 @@ Equirectangular map of the world – coastlines and lakes - A map of the world, showing all landmasses as SVG paths. Small lakes and islands are not shown. Coastlines precise to 50 km. + A map of the world, showing all landmasses as SVG paths. Coastlines precise to 50 km. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 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A map of the world, showing all landmasses with 15° graticule. Small lakes and islands are not shown. Coastlines precise to 50 km. + A map of the world, showing all landmasses with 15° graticule. Coastlines precise to 50 km. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 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- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + @@ -1524,8 +1882,11 @@ - + + + + diff --git a/input/Graticule.svg b/input/Graticule.svg index abf633b..9df0074 100644 --- a/input/Graticule.svg +++ b/input/Graticule.svg @@ -15,10 +15,10 @@ @@ -35,7 +35,7 @@ Equirectangular map – 5° graticule - An Equirectangular graticule, showing all landmasses with 5° graticule, including the Arctic Circle, the Antarctic Circle, and the Tropics. + An Equirectangular graticule, showing all landmasses with 5° graticule, including the Polar Circles and the Tropics. @@ -168,7 +168,6 @@ - diff --git a/input/Orthodromes.svg b/input/Orthodromes.svg index 6b3e965..0975d69 100644 --- a/input/Orthodromes.svg +++ b/input/Orthodromes.svg @@ -18,7 +18,7 @@ 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." dc:creator="Justin Kunimune" dc:source="http://www.naturalearthdata.com/" - dc:date="2018-01-15" + dc:date="2018-02-04" dc:format="image/svg+xml" dc:language="en" > @@ -33,46 +33,48 @@ - Icosohedral orthodromic mesh - Equirectangular projection + Icosohedral orthodromic mesh – Equirectangular projection 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. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/input/Political.svg b/input/Political.svg index 6107ba6..442aa8c 100644 --- a/input/Political.svg +++ b/input/Political.svg @@ -1,780 +1,890 @@ - - - - - + + + + + + + + + + + + + + + + + + + Equirectangular map of the world – political borders + + A map of the world, showing all countries recognised by the UN as SVG paths, with major lakes overlaid. Borders precise to 50 km. + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/input/Tissot-alt1.svg b/input/Tissot-alt1.svg deleted file mode 100644 index 3fa8798..0000000 --- a/input/Tissot-alt1.svg +++ /dev/null @@ -1,1603 +0,0 @@ - - - - - - - - - - - - - - - - - - - Equirectangular map of the world – coastlines, graticule, and indicatrices - - A map of the world, showing all landmasses with 10° graticule and Tissot's indicatrices of radius 750 km and spacing 30°. Small lakes and islands are not shown. Coastlines precise to 50 km. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/input/Tissot.svg b/input/Tissot.svg index 80edb50..af87d71 100644 --- a/input/Tissot.svg +++ b/input/Tissot.svg @@ -15,10 +15,10 @@ @@ -35,20 +35,19 @@ Equirectangular map of the world – coastlines with Tissot's indicatrices - A map of the world, showing all landmasses with Tissot's indicatrices of radius 3° 45′ and spacing 15°. Small lakes and islands are not shown. Precise to 50 km. + A map of the world, showing all landmasses with Tissot's indicatrices of radius 3° 45′ and spacing 15°. Coastlines precise to 50 km. diff --git a/output/Unbiased Political.svg b/output/Unbiased Political.svg new file mode 100644 index 0000000..c31b0f8 --- /dev/null +++ b/output/Unbiased Political.svg @@ -0,0 +1,774 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/src/zupplemental/compose_maps.py b/src/zupplemental/compose_maps.py new file mode 100644 index 0000000..139aaa7 --- /dev/null +++ b/src/zupplemental/compose_maps.py @@ -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') + print('\t\t') + generate_land('ne_50m', trim_antarctica=True) + print('\t\t') + print('\t\t') + generate_lakes('ne_50m', max_rank=4) + print('\t\t') + print('\t') + +def compose_graticule(): + print('\t') + print('\t\t') + generate_graticule(5, 1, include_tropics=True, adjust_poles=True) + print('\t\t') + print('\t') + +def compose_graticule2(): + print('\t') + print('\t\t') + generate_graticule(15, .25, include_tropics=True, adjust_poles=True, double_dateline=True) + print('\t\t') + print('\t') + +def compose_compound(): + print('\t') + print('\t\t') + generate_land('ne_50m', trim_antarctica=True) + print('\t\t') + print('\t\t') + generate_rivers('ne_50m', max_rank=4) + print('\t\t') + print('\t\t') + generate_lakes('ne_50m', max_rank=4) + print('\t\t') + print('\t\t') + generate_graticule(15, 1, include_tropics=True, adjust_poles=True) + print('\t\t') + print('\t') + +def compose_indicatrices(): + print('\t') + print('\t\t') + generate_land('ne_50m', trim_antarctica=True) + print('\t\t') + print('\t\t') + generate_lakes('ne_50m', max_rank=4) + print('\t\t') + print('\t\t') + generate_indicatrices(15, math.radians(3.75), adjust_poles=True) + print('\t\t') + print('\t') + +def compose_indicatrices2(ctr_meridian): + print('\t') + print('\t\t') + generate_land('ne_110m') + print('\t\t') + print('\t\t') + generate_lakes('ne_110m') + print('\t\t') + print('\t\t') + generate_graticule(10, 1, double_dateline=True) + print('\t\t') + print('\t\t') + generate_indicatrices(30, 600/6371, ctr_meridian=ctr_meridian, adjust_poles=True) + print('\t\t') + print('\t') + +def compose_political(): + print('\t') + print('\t\t') + generate_borders('ne_50m', trim_antarctica=True) + print('\t\t') + print('\t\t') + generate_lakes('ne_50m', max_rank=4) + print('\t\t') + print('\t') + +def compose_orthodromes(): + print('\t') + print('\t\t') + generate_orthodromes() + print('\t\t') + print('\t') + +def compose_everything(): + print('\t') + print('\t\t') + generate_borders('ne_50m', trim_antarctica=True, borders_only=False) + print('\t\t') + print('\t\t') + generate_fine_borders('ne_50m') + print('\t\t') + print('\t\t') + generate_disputes('ne_50m') + print('\t\t') + print('\t\t') + generate_administrivia('ne_50m') + print('\t\t') + print('\t\t') + generate_land('ne_50m', trim_antarctica=True) + print('\t\t') + print('\t\t') + generate_rivers('ne_50m') + print('\t\t') + print('\t\t') + generate_lakes('ne_50m') + print('\t\t') + print('\t\t') + generate_borders('ne_50m', trim_antarctica=True, borders_only=True) + print('\t\t') + print('\t\t') + generate_graticule(5, 1, include_tropics=True, adjust_poles=True) + print('\t\t') + print('\t') + 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() diff --git a/src/zupplemental/generate_borders.py b/src/zupplemental/generate_borders.py new file mode 100644 index 0000000..ed9afd2 --- /dev/null +++ b/src/zupplemental/generate_borders.py @@ -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'.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{}'.format(text_size, x, y, name)) + if borders_only: + print('\t\t\t\t'.format(region_code)) + print('\t\t\t\t\t'.format(region_code)) + print('\t\t\t\t') + print('\t\t\t\t'.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') diff --git a/src/zupplemental/generate_coastlines.py b/src/zupplemental/generate_coastlines.py index beef8e0..22c7da0 100644 --- a/src/zupplemental/generate_coastlines.py +++ b/src/zupplemental/generate_coastlines.py @@ -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') diff --git a/src/zupplemental/generate_graticule.py b/src/zupplemental/generate_graticule.py index 4beb8ab..4aaf65f 100644 --- a/src/zupplemental/generate_graticule.py +++ b/src/zupplemental/generate_graticule.py @@ -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' + tag = '\t\t\t' 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' + tag = '\t\t\t' 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") diff --git a/src/zupplemental/generate_indicatrices.py b/src/zupplemental/generate_indicatrices.py index 379c84c..f748478 100644 --- a/src/zupplemental/generate_indicatrices.py +++ b/src/zupplemental/generate_indicatrices.py @@ -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) diff --git a/src/zupplemental/generate_labels.py b/src/zupplemental/generate_labels.py new file mode 100644 index 0000000..436c8fe --- /dev/null +++ b/src/zupplemental/generate_labels.py @@ -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{}'.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'.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) diff --git a/src/zupplemental/generate_lakes.py b/src/zupplemental/generate_lakes.py new file mode 100644 index 0000000..b4676a1 --- /dev/null +++ b/src/zupplemental/generate_lakes.py @@ -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 \ No newline at end of file diff --git a/src/zupplemental/generate_orthodromes.py b/src/zupplemental/generate_orthodromes.py index a1b389c..d3e4c7c 100644 --- a/src/zupplemental/generate_orthodromes.py +++ b/src/zupplemental/generate_orthodromes.py @@ -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): diff --git a/src/zupplemental/generate_shape.py b/src/zupplemental/generate_shape.py new file mode 100644 index 0000000..bc6760e --- /dev/null +++ b/src/zupplemental/generate_shape.py @@ -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) diff --git a/src/zupplemental/helpers.py b/src/zupplemental/helpers.py index 14aff2f..ea768ba 100644 --- a/src/zupplemental/helpers.py +++ b/src/zupplemental/helpers.py @@ -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 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))