From 4bd6f3c2c96beb1e7dd20aec6c75f613a7b8c314 Mon Sep 17 00:00:00 2001 From: Justin Kunimune Date: Thu, 16 Jan 2025 21:07:53 -0500 Subject: [PATCH] add Solid Earth projection there was also a bug where the Liquid Earth projection threw an error if you tried to use a map with points on the pole or antimeridian. but that's fixd now. I also fixed a minor issue where it said that the Equal Earth projection had a closed-form inverse when it in fact does not. I also renamed the liquid earth mesh files. --- ...iangles.npy => Liquid_Earth_mesh_tris.npy} | Bin ...py => Liquid_Earth_mesh_verts_initial.npy} | Bin ...> Liquid_Earth_mesh_verts_transformed.npy} | Bin res/Solid_Earth_mesh_tris.npy | Bin 0 -> 221312 bytes res/Solid_Earth_mesh_verts_initial.npy | Bin 0 -> 221360 bytes res/Solid_Earth_mesh_verts_transformed.npy | Bin 0 -> 221360 bytes src/apps/MapApplication.java | 4 +- src/maps/EqualEarth.java | 29 +++++++++- src/maps/Misc.java | 3 -- src/maps/{Liquid.java => Sargent.java} | 50 ++++++++++++------ 10 files changed, 62 insertions(+), 24 deletions(-) rename res/{liquid_triangles.npy => Liquid_Earth_mesh_tris.npy} (100%) rename res/{liquid_vertices_initial.npy => Liquid_Earth_mesh_verts_initial.npy} (100%) rename res/{liquid_vertices_transformed.npy => Liquid_Earth_mesh_verts_transformed.npy} (100%) create mode 100644 res/Solid_Earth_mesh_tris.npy create mode 100644 res/Solid_Earth_mesh_verts_initial.npy create mode 100644 res/Solid_Earth_mesh_verts_transformed.npy rename src/maps/{Liquid.java => Sargent.java} (88%) diff --git a/res/liquid_triangles.npy b/res/Liquid_Earth_mesh_tris.npy similarity index 100% rename from res/liquid_triangles.npy rename to res/Liquid_Earth_mesh_tris.npy diff --git a/res/liquid_vertices_initial.npy b/res/Liquid_Earth_mesh_verts_initial.npy similarity index 100% rename from res/liquid_vertices_initial.npy rename to res/Liquid_Earth_mesh_verts_initial.npy diff --git a/res/liquid_vertices_transformed.npy b/res/Liquid_Earth_mesh_verts_transformed.npy similarity index 100% rename from res/liquid_vertices_transformed.npy rename to res/Liquid_Earth_mesh_verts_transformed.npy diff --git a/res/Solid_Earth_mesh_tris.npy b/res/Solid_Earth_mesh_tris.npy new file mode 100644 index 0000000000000000000000000000000000000000..2a87b133c42a1b75b7cbc6271c7dbe248341ffa3 GIT binary patch literal 221312 zcmbTm&uBU9q+N6fPGKKmcI|8{$Cv(NrJ 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zQMcin5O+Zf!Ft8P@PiZfjc4?7K9B~83_|?$gE|tS!6t9P@&Uh-NVeMK*a4!gh$L{B zR!!Kr(aGNz=ipv!yPbjU0AaZDowYx8wN%18Vth!V!riD z1x+cbP~!J>&-*uDM!|BbOy7||m~*d~L%t~$jXY0Q$}r|9y@_@;w8VbJ2G+1!4t}p7 zth{dbdF1>^oJq`1529l~i$TR^&;}Na`_J*FqfaQKvF~RL9r}eu0jSBA?bq_~7?r z9(3@lNA)Er#U9lgK_mpx%$LwFd}(q1hAkQM*TUn9eG0Q2y!npanIFL@ChABW|-c}C#jdm*#lXLG=-m%J(bLuT(E-;gWXmLxx;p+X;J0Xz#<>fzDEvq*x$ZYv3jHaGS|aerKuj2Il4Ce z!TgbtZGpGkS&&1r?ahBqt7`dE zqz^nEfM40}T)LUa=N)SF@=M2gi!7OOKk`DvvKhXn;C{#9{iaKzlMMXy;Cl&JzbNf= z@3F^y$uFpe{2YB0`qOPkx5|yfaW6;5Iqa+cHOa0!f!rC9kL{WBN6}~TR9BYvZW7e^ KD 0.3*poly9(th_) + 0.7*1.4*sin(th_)/B, + (double th_) -> 0.3*poly8(th_) + 0.7*1.4*cos(th_)/B, 1e-6); + return new double[] { asin(sin(th)/B), x*(0.3*B*poly8(th)/cos(th) + 0.7*1.4) }; + } + + public void initialize(double... params) throws IllegalArgumentException { + this.shape = Shape.meridianEnvelope(this); + } + }; + + private static double poly9(double x) { return A[3]*pow(x,9) + A[2]*pow(x,7) + A[1]*pow(x,3) + A[0]*x; diff --git a/src/maps/Misc.java b/src/maps/Misc.java index df30198..bbd6f4a 100644 --- a/src/maps/Misc.java +++ b/src/maps/Misc.java @@ -606,9 +606,6 @@ public class Misc { // for polar latitudes, switch to an azimuthal projection centered on the pole else { double sign = signum(φ0); - if (φ0 < -φMax) { - System.out.println(sign); - } return new double[] { sign*(PI/2 - hypot(x - sign*xPole, y - sign*yPole)), sign*coerceAngle(θPole - atan2(xPole - sign*x, yPole - sign*y)) }; diff --git a/src/maps/Liquid.java b/src/maps/Sargent.java similarity index 88% rename from src/maps/Liquid.java rename to src/maps/Sargent.java index 0929d35..6430932 100644 --- a/src/maps/Liquid.java +++ b/src/maps/Sargent.java @@ -56,16 +56,19 @@ import static utils.Math2.coerceAngle; * * @author Justin Kunimune */ -public class Liquid { - - public static final LiquidProjection LIQUID_EARTH = new LiquidProjection( +public class Sargent { + + public static final SargentProjection LIQUID_EARTH = new SargentProjection( "Liquid Earth", "An equal-area map in the shape of the Equal Earth projection, optimized around the continents", - EqualEarth.EQUAL_EARTH, toRadians(11), true, "liquid"); - - - private static class LiquidProjection extends Projection { + EqualEarth.EQUAL_EARTH, toRadians(11), true); + + public static final SargentProjection SOLID_EARTH = new SargentProjection( + "Solid Earth", "A map optimised to show off the continents by compressing the oceans", + EqualEarth.SARGENT_EQUIVALENT_EARTH, toRadians(11), true); + + + private static class SargentProjection extends Projection { - private final String filename; // the data filename private final Projection baseProjection; private final double centralMeridian; private int[][] triangles; @@ -77,14 +80,13 @@ public class Liquid { private List[][] lookupTableTransformed; - public LiquidProjection( + public SargentProjection( String title, String description, Projection baseProjection, - double centralMeridian, boolean based_on_land, String filename) { + double centralMeridian, boolean based_on_land) { super(title, "Robert C. Sargent", description, null, baseProjection.isContinuous(), baseProjection.isComprehensive(), true, true, Type.OTHER, baseProjection.getProperty(), 4, new String[0], new double[0][], !based_on_land); - this.filename = filename; this.baseProjection = baseProjection; this.centralMeridian = centralMeridian; } @@ -142,13 +144,17 @@ public class Liquid { } + /** + * find the triangle (represented as an array of three vertex indices) that contains the given point, using a + * table of cached triangle locations to do so efficiently. + */ private static int[] findContainingTriangle( double[] фBins, double[] λBins, List[][] lookupTable, Vector[] vertices, double ф, double λ) { λ = coerceAngle(λ); Vector point = new Vector(cos(ф)*cos(λ), cos(ф)*sin(λ), sin(ф)); - int i = (int) floor((ф - фBins[0])/(фBins[1] - фBins[0])); - int j = (int) floor((λ - λBins[0])/(λBins[1] - λBins[0])); + int i = min((int) floor((ф - фBins[0])/(фBins[1] - фBins[0])), фBins.length - 2); + int j = min((int) floor((λ - λBins[0])/(λBins[1] - λBins[0])), λBins.length - 2); triangleLoop: for (int[] triangle: lookupTable[i][j]) { for (int k = 0; k < 3; k ++) { @@ -216,14 +222,15 @@ public class Liquid { return; // load the files + String filename = "res/" + this.getName().replace(" ", "_") + "_mesh"; double[][] verticesInitial, verticesTransformed; int[][] triangles; try { - verticesInitial = readNumpyFloatArray("res/" + this.filename + "_vertices_initial.npy"); - verticesTransformed = readNumpyFloatArray("res/" + this.filename + "_vertices_transformed.npy"); - triangles = readNumpyIntArray("res/" + this.filename + "_triangles.npy"); + verticesInitial = readNumpyFloatArray(filename + "_verts_initial.npy"); + verticesTransformed = readNumpyFloatArray(filename + "_verts_transformed.npy"); + triangles = readNumpyIntArray(filename + "_tris.npy"); } catch (IOException e) { - throw new IllegalArgumentException("couldn't read the config file for this Liquid Projection: " + e); + throw new IllegalArgumentException("couldn't read the config file for this Sargent Projection: " + e); } if (verticesInitial.length != verticesTransformed.length) throw new IllegalArgumentException("the initial vertices file and the transformed vertices files don't match."); @@ -251,6 +258,15 @@ public class Liquid { } + /** + * build a table that will allow us to efficiently determine which triangles might contain a given pixel. + * the output will be a table with фBins.length - 1 rows and λBins.length - 1 collums. each entry i,j will be + * a list of triangles that contact at least one point in the range + * фBins[i] <= ф <= фBins[i + 1] && λBins[j] <= λ <= λBins[j] + * thus, if you need to find the triangle that contains a given point, you can find a cell of the table that + * contains that point, and then you only need to check the contained triangles rather than every triangle in + * the mesh. + */ private static List[][] cacheTriangleLocations( int[][] triangles, Vector[] vertices, double[] фBins, double[] λBins) { @SuppressWarnings("unchecked")