Rectangular Polyconic GLSLSatellite GLSLVan Der Grinten IV GLSLVan Der Grinten III GLSLVan Der Grinten II GLSLWinkel Tripel GLSLLee Modified Stereographic GLSLMiller Oblated Stereographic GLSLModified Stereographic GS48 GLSLModified Stereographic GS50 GLSLFoucaut GLSLLagrange GLSLKavrayskiy VII GLSLEisenlohr GLSLEckert VI GLSLEckert V GLSLEckert IV GLSLEckert III GLSLEckert II GLSLEckert I GLSLBertin1953 GLSLWagner VI GLSLPhytoplanktonBriesemeister GLSLRectilinear GLSLAzimuthal Equal-Area GLSLWebMercator to globeCordiform GLSLTransverse Mercator GLSLMercator GLSLMollweide GLSLAtlantis GLSLWiechel GLSLWagner VII GLSLTimes GLSLWagner IV GLSLEqual Earth GLSLConic Equal-Area GLSLAlbers GLSLEquirectangular GLSLConic Conformal GLSLConic Equidistant GLSLVan Der Grinten GLSLLittrow GLSLAzimuthal Equidistant GLSLArmadillo GLSLLarrivée GLSLCylindrical Equal-Area GLSLAiry GLSLAugust GLSLBerghaus GLSLBaker Transverse GLSLBaker GLSLBoggs GLSLBonne GLSLHammer GLSLBromley GLSLBottomley GLSLCollignon GLSLFahey GLSLTransverse Fahey GLSLLoximuthal GLSLCylindrical Stereographic GLSLCylindrical Equal-Area GLSLPolyconic GLSLPatterson GLSLMiller GLSLRobinson GLSL
Aitoff GLSL
Also listed in…
Projections
glproj = `
if (x * x + 4. * y * y < pi * pi + 1e-12) {
float x1 = x, y1 = y, sinx, sinx_2, cosx_2, siny, cosy, sin_2y, sin2y, cos2y, sin2x_2, c, e, f, fx, fy, dxdx, dxdy, dydx, dydy, z, dx, dy;
for (int i = 0; i < 25; i++) {
sinx = sin(x1),
sinx_2 = sin(x1 / 2.),
cosx_2 = cos(x1 / 2.),
siny = sin(y1),
cosy = cos(y1),
sin_2y = sin(2. * y1),
sin2y = siny * siny,
cos2y = cosy * cosy,
sin2x_2 = sinx_2 * sinx_2,
c = 1. - cos2y * cosx_2 * cosx_2;
if (c == 0.0) c = 1e-12;
e = acos(cosy * cosx_2) * sqrt(f = 1. / c),
fx = 2. * e * cosy * sinx_2 - x,
fy = e * siny - y,
dxdx = f * (cos2y * sin2x_2 + e * cosy * cosx_2 * sin2y),
dxdy = f * (0.5 * sinx * sin_2y - e * 2. * siny * sinx_2),
dydx = f * 0.25 * (sin_2y * sinx_2 - e * siny * cos2y * sinx),
dydy = f * (sin2y * cosx_2 + e * sin2x_2 * cosy),
z = dxdy * dydx - dydy * dxdx;
if (z == 0.0) z = 1e-12;
dx = (fy * dxdy - fx * dydy) / z,
dy = (fx * dydx - fy * dxdx) / z;
x1 -= dx, y1 -= dy;
}
lambda = x1;
phi = y1;
} else {
transparent = true;
}
`
projection = d3.geoAitoff().fitSize([width, height], { type: "Sphere" })
function stabWernerRaw(ratio, max) {
/*
* simplified Bonne, with phi0 = halfPi ;
* https://github.com/d3/d3-geo-projection/blob/master/src/bonne.js
*/
function r(lambda, phi) {
const rho = halfPi - phi,
e = rho ? (lambda * cos(phi)) / rho : rho;
return [rho * sin(e), -rho * cos(e)];
}
r.invert = function(x, y) {
var rho = sqrt(x ** 2 + y ** 2),
phi = halfPi - rho;
return [(rho / cos(phi)) * atan2(x, -y), phi];
};
/* azimuthal equidistant for the pole part */
const az = d3
.geoAzimuthalEquidistant()
.rotate([0, -90])
.translate([0, 0])
.scale(1);
/* mix */
function forward(lambda, phi) {
if (phi < max * radians) {
lambda *= ratio;
return r(lambda, phi);
} else {
const p = az([lambda * degrees, phi * degrees]);
return [p[0], -p[1]];
}
}
function invert(x, y) {
let i = az.invert([x, -y]);
if (i[1] < max) {
i = r.invert(x, y);
i[0] /= ratio;
} else {
i[0] *= radians;
i[1] *= radians;
}
return [i[0], i[1]];
}
forward.invert = invert;
return forward;
}
// Ancient Earth Images by Christopher Scotese. https://www.earthbyte.org/paleomap-paleoatlas-for-gplates/
image = d3
.image(
`https://raw.githubusercontent.com/typpo/ancient-earth/master/images/scrape/${period}.jpg`,
{
crossOrigin: "anonymous"
}
)
.then(d => Object.assign(d, { style: "max-height:100px" }))
height = width >> 1
import { reglCanvas, createDrawCommand, regl } with {
width,
height,
projection,
glproj,
image
} from "@fil/phytoplankton"
d3 = require("d3@7", "d3-geo-projection@3", "d3-geo-polygon@1")
import { checkbox, radio, select } from "@jashkenas/inputs"
import { atan2, cos, degrees, halfPi, radians, sin, sqrt } from "@fil/math"
import { drag } from "@d3/versor-dragging"
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