From c1eb163af6aadc58c31014d548c8f768f94b82e6 Mon Sep 17 00:00:00 2001 From: Justin Kunimune Date: Mon, 28 Aug 2017 19:43:54 -1000 Subject: [PATCH] Hah! Aitoff _does_ have an inverse solution! I tweaked MapExplainer to be a little bit better, corrected some minor issues with the Projection metadata, added real descriptions to my custom parameterised projections, and fixed a critical bug with WinkelTripel's inverse solution. --- MapAnalyzer.jar | Bin 3148561 -> 3148317 bytes MapDesignerRaster.jar | Bin 3148567 -> 3148323 bytes MapDesignerVector.jar | Bin 3148567 -> 3148323 bytes src/apps/MapExplainer.java | 3 ++- src/maps/Azimuthal.java | 3 ++- src/maps/Misc.java | 2 +- src/maps/MyProjections.java | 9 ++++++--- src/maps/Tetrahedral.java | 10 ++++++---- src/maps/Tobler.java | 2 +- src/maps/WinkelTripel.java | 11 ++++++----- 10 files changed, 24 insertions(+), 16 deletions(-) diff --git a/MapAnalyzer.jar b/MapAnalyzer.jar index 8d27fe2c9575cfb79042773b6f59fc6abf0a2961..0dc1fdafb2c7d107b874a878df3c55fb37bbed5f 100644 GIT binary patch delta 102887 zcmZ6yW3VQ$(k(nQ+qP}nwr$(C@od|+ZO^uC+qTVb&iU%z_pO^hy(*RdldPoD-K*nM zdVgmp_5OyDmjVKY{Phd`*RR7&?06V*po4#g-JG;P1zYOZ{~93wuz|h36W#wf{96(~ 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z$o~mK!2v`)a^tX{4T-z`&^EHn8{k`?Afa_7mQu}V+7M*I<|%koYRPk;h^J6k79F*O z?Wy=FK6=A(1-2%;XXuAjCl#a#r9MOBwL7CiZal-_LT44k10IYK{rC$C(vDIpkeTX# zkeMBq6u1d>eU4g+x~w2Lp$NnbaPT<<7gi{+L)HsKm|mp-TAKI*TI=&_1+k%$7bvXw zrwRg}fiK1Gnn_mv)bJ%%LZ7}AJ8LRzB+8Snz7#_=Q|u&4MN*T3x^Im3H2PnZ|794r%ZQPCH|@U7 zB8UfU-DLqgYWD`!dZvIQDR0C+4L>K(It<8n-auJ81XFh=3WhB?78xD5+t{gfsDrJ$ zIq%^vqYJa>k=Iwp8SmD9#v3Q>J;Z(kGN+q@gyp5uf4W*?w8=bgG78;}abU$!qwM88 zq@k&;FcgOI2t#?tjPTyo5P~mHaAe2{2%dX|l$-?!W}arSk;VunlduyO?sZsk773=# zLXVe>@FcCqG*Iw^0XrkUt~0ivWg1g=&G-fZH0h`j-dyX9ZB)myovj1Zwc}{OanFjZR@F)^pUm6l^+j;TbW!na~NRj^Z`oeQHKB>?PwohOTBFXo$4q-eQ5NL z7+H&Lkc+=N$x_d3Ox-j;!hL}BG2vQMe@)EWGPR>0p16|iP%5"); out.println(" "); out.println(""); + out.println("
"); out.println(); } diff --git a/src/maps/Azimuthal.java b/src/maps/Azimuthal.java index 00ab4ec..cb45428 100644 --- a/src/maps/Azimuthal.java +++ b/src/maps/Azimuthal.java @@ -45,7 +45,8 @@ public class Azimuthal { public static final Projection POLAR = - new Projection("Polar", 1., 0b1111, Type.AZIMUTHAL, Property.EQUIDISTANT) { + new Projection( + "Azimuthal Equidistant", 1., 0b1111, Type.AZIMUTHAL, Property.EQUIDISTANT) { public double[] project(double lat, double lon) { final double r = .5 - lat/Math.PI; diff --git a/src/maps/Misc.java b/src/maps/Misc.java index c65c31c..eba96f5 100644 --- a/src/maps/Misc.java +++ b/src/maps/Misc.java @@ -39,7 +39,7 @@ public class Misc { public static final Projection AITOFF = new Projection("Aitoff", "A compromise projection shaped like an ellipse", - 2., 0b1011, Type.PSEUDOAZIMUTHAL, Property.COMPROMISE) { + 2., 0b1111, Type.PSEUDOAZIMUTHAL, Property.COMPROMISE) { public double[] project(double lat, double lon) { final double a = Math.acos(Math.cos(lat)*Math.cos(lon/2)); diff --git a/src/maps/MyProjections.java b/src/maps/MyProjections.java index f90b720..cc6248a 100644 --- a/src/maps/MyProjections.java +++ b/src/maps/MyProjections.java @@ -85,7 +85,8 @@ public class MyProjections { public static final Projection PSEUDOSTEREOGRAPHIC = - new Projection("Pseudostereographic", "The logical next step after Aitoff and Hammer", + new Projection( + "Pseudostereographic", "The logical next step after Aitoff and Hammer", 2, 0b1111, Type.PSEUDOAZIMUTHAL, Property.COMPROMISE) { public double[] project(double lat, double lon) { @@ -106,7 +107,8 @@ public class MyProjections { public static final Projection HYPERELLIPOWER = - new Projection("Hyperellipower", "A parametric projection that I'm still testing", + new Projection( + "Hyperellipower", "A parametrised pseudocylindrical projection that I invented", 2., 0b1111, Type.PSEUDOCYLINDRICAL, Property.COMPROMISE, new String[] {"k","n","a"}, new double[][] {{1,3,5},{.5,2.,1.20},{.5,2.,1.13}}) { @@ -136,7 +138,8 @@ public class MyProjections { public static final Projection TWO_POINT_EQUALIZED = - new Projection("Two-Point Equalized", "A parametric projection that I'm still testing", + new Projection("Two-Point Equalized", + "A projection I invented specifically for viewing small elliptical regions of the Earth", 0, 0b1111, Type.OTHER, Property.EQUIDISTANT, new String[] {"Width"}, new double[][] { {0, 180, 120} }) { diff --git a/src/maps/Tetrahedral.java b/src/maps/Tetrahedral.java index 08f27b7..c1ebb86 100644 --- a/src/maps/Tetrahedral.java +++ b/src/maps/Tetrahedral.java @@ -78,7 +78,7 @@ public class Tetrahedral { public static final Projection TETRAPOWER = new TetrahedralProjection( - "Tetrapower", "A parametric projection that I'm still testing", + "Tetrapower", "A parameterised tetrahedral projection that I invented.", Math.sqrt(3), 0b1111, Property.COMPROMISE, new String[] {"k1","k2","k3"}, new double[][] {{.01,2.,.98},{.01,2.,1.2},{.01,2.,.98}}) { @@ -118,7 +118,8 @@ public class Tetrahedral { public static final Projection TETRAFILLET = - new TetrahedralProjection("TetraFillet", "A parametric projection that I'm still testing", + new TetrahedralProjection("TetraFillet", + "A parameterised tetrahedral projection I invented with the corners filleted off", Math.sqrt(3), 0b1110, Property.COMPROMISE, new String[] {"k1","k2","k3"}, new double[][] {{.01,2.,.78},{.01,2.,.99},{.01,2.,1.3}}) { @@ -165,8 +166,9 @@ public class Tetrahedral { public static final Projection TETRACHAMFER = new TetrahedralProjection( - "TetraChamfer", "A parametric projection that I'm still testing", Math.sqrt(3), - 0b1110, Property.COMPROMISE, new String[] {"k1","k2","k3"}, + "TetraChamfer", + "A parameterised tetrahedral projection I invented with the corners chamfered off", + Math.sqrt(3), 0b1110, Property.COMPROMISE, new String[] {"k1","k2","k3"}, new double[][] {{.01,2.,.78},{.01,2.,.99},{.01,2.,1.3}}) { private double k1, k2, k3; diff --git a/src/maps/Tobler.java b/src/maps/Tobler.java index 6971904..a73c730 100644 --- a/src/maps/Tobler.java +++ b/src/maps/Tobler.java @@ -42,7 +42,7 @@ public class Tobler { "Tobler", "An equal-area projection shaped like a hyperellipse (in case you're wondering about gamma, it's calculated automatically)", 2., 0b1001, Type.PSEUDOCYLINDRICAL, Property.EQUAL_AREA, new String[]{"Std. Parallel","alpha","K"}, - new double[][] {{0,89,30.6}, {0,1,.5}, {1,8,3.63}}) { + new double[][] {{0,89,37}, {0,1,0}, {1,8,3.6}}) { //optimal parameters are 30.6,.50,3.63, but these defaults are more recognizably Tobler private static final int N = 10000; private double alpha, kappa, epsilon; //epsilon is related to gamma, but defined somewhat differently diff --git a/src/maps/WinkelTripel.java b/src/maps/WinkelTripel.java index e8f6446..99c5c33 100644 --- a/src/maps/WinkelTripel.java +++ b/src/maps/WinkelTripel.java @@ -55,12 +55,14 @@ public final class WinkelTripel { } public double[] project(double lat, double lon) { - return new double[] { f1pX(lat,lon)/aspectRatio, f2pY(lat,lon)/aspectRatio }; + return new double[] { + f1pX(lat,lon)/aspectRatio/Math.PI, f2pY(lat,lon)/aspectRatio/Math.PI }; } public double[] inverse(double x, double y) { return NumericalAnalysis.newtonRaphsonApproximation( - x*aspectRatio, y, y/2, x*(1 + Math.cos(y*Math.PI/2))/2, + x*Math.PI*aspectRatio, y*Math.PI, + y*Math.PI/2, x*Math.PI*(1 + Math.cos(y*Math.PI/2))/2, this::f1pX, this::f2pY, this::df1dphi, this::df1dlam, this::df2dphi, this::df2dlam, .002); } @@ -68,14 +70,13 @@ public final class WinkelTripel { private double f1pX(double phi, double lam) { final double d = D(phi,lam); final double c = C(phi,lam); - return 2/Math.PI*d/Math.sqrt(c)*Math.cos(phi)*Math.sin(lam/2) - + lam/Math.PI*(aspectRatio-1); + return 2*d/Math.sqrt(c)*Math.cos(phi)*Math.sin(lam/2) + lam*(aspectRatio-1); } private double f2pY(double phi, double lam) { final double d = D(phi,lam); final double c = C(phi,lam); - return d/Math.sqrt(c)*Math.sin(phi)/Math.PI + phi/Math.PI; + return d/Math.sqrt(c)*Math.sin(phi) + phi; } private double df1dphi(double phi, double lam) {

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