diff --git a/challenges/06-raster/LCZ_CityJSON.png b/challenges/06-raster/LCZ_CityJSON.png new file mode 100644 index 0000000..26a7595 Binary files /dev/null and b/challenges/06-raster/LCZ_CityJSON.png differ diff --git a/challenges/06-raster/README.md b/challenges/06-raster/README.md index e69de29..6268ba4 100644 --- a/challenges/06-raster/README.md +++ b/challenges/06-raster/README.md @@ -0,0 +1,16 @@ +# Raster data: rendering 2d raster map in 3d + +Weather models cannot 'see' the city as we do. The grid cells are too coarse to +represent individual buildings explicitly. Instead, they see the city at block +level. + +Local climate zones are archetypes of city blocks. They are used to describe the +important characteristic of a city succinctly. LCZs can be displayed on 2d maps; +however, that doesn't really appeal to ones imagination. + +I figured, why not render these nice prototype tiles in 3d? To this end, I tried +to work with a file format that was new to me, called CityJSON. This is how far +I got in limited time. There is still lots of room for improvements, but I think +the concept is already clear and quite nice. + +![Image for mapchallenge](LCZ_CityJSON.png) diff --git a/challenges/06-raster/cityjson_mapchallenge.pptx b/challenges/06-raster/cityjson_mapchallenge.pptx new file mode 100755 index 0000000..cb13a82 Binary files /dev/null and b/challenges/06-raster/cityjson_mapchallenge.pptx differ diff --git a/challenges/26-projections/gingery.js b/challenges/26-projections/gingery.js new file mode 100644 index 0000000..ac2d360 --- /dev/null +++ b/challenges/26-projections/gingery.js @@ -0,0 +1,182 @@ +/** Modified from https://github.com/d3/d3-geo-projection/blob/main/src/gingery.js */ + +import * as d3 from "https://cdn.jsdelivr.net/npm/d3@7/+esm"; +import { + abs, + asin, + atan2, + cos, + degrees, + epsilon, + epsilon2, + halfPi, + pi, + radians, + round, + sin, + sqrt, +} from "./math.js"; + +export function gingeryRaw(rho, n) { + var k = (2 * pi) / n, + rho2 = rho * rho; + + function forward(lambda, phi) { + const lambdaTwisted = lambda + 0.3 * pi * phi; + var p = d3.geoAzimuthalEquidistantRaw(lambdaTwisted, phi), + x = p[0], + y = p[1], + r2 = x * x + y * y; + + if (r2 > rho2) { + var r = sqrt(r2), + theta = atan2(y, x), + theta0 = k * round(theta / k), + alpha = theta - theta0, + rhoCosAlpha = rho * cos(alpha), + k_ = + (rho * sin(alpha) - alpha * sin(rhoCosAlpha)) / + (halfPi - rhoCosAlpha), + s_ = gingeryLength(alpha, k_), + e = (pi - rho) / gingeryIntegrate(s_, rhoCosAlpha, pi); + + x = r; + var i = 50, + delta; + do { + x -= delta = + (rho + gingeryIntegrate(s_, rhoCosAlpha, x) * e - r) / (s_(x) * e); + } while (abs(delta) > epsilon && --i > 0); + + y = alpha * sin(x); + if (x < halfPi) y -= k_ * (x - halfPi); + + var s = sin(theta0), + c = cos(theta0); + p[0] = x * c - y * s; + p[1] = x * s + y * c; + } + return p; + } + + // forward.invert = function (x, y) { + // var r2 = x * x + y * y; + // if (r2 > rho2) { + // var r = sqrt(r2), + // theta = atan2(y, x), + // theta0 = k * round(theta / k), + // dTheta = theta - theta0; + + // x = r * cos(dTheta); + // y = r * sin(dTheta); + + // var x_halfPi = x - halfPi, + // sinx = sin(x), + // alpha = y / sinx, + // delta = x < halfPi ? Infinity : 0, + // i = 10; + + // while (true) { + // var rhosinAlpha = rho * sin(alpha), + // rhoCosAlpha = rho * cos(alpha), + // sinRhoCosAlpha = sin(rhoCosAlpha), + // halfPi_RhoCosAlpha = halfPi - rhoCosAlpha, + // k_ = (rhosinAlpha - alpha * sinRhoCosAlpha) / halfPi_RhoCosAlpha, + // s_ = gingeryLength(alpha, k_); + + // if (abs(delta) < epsilon2 || !--i) break; + + // alpha -= delta = + // (alpha * sinx - k_ * x_halfPi - y) / + // (sinx - + // (x_halfPi * + // 2 * + // (halfPi_RhoCosAlpha * + // (rhoCosAlpha + + // alpha * rhosinAlpha * cos(rhoCosAlpha) - + // sinRhoCosAlpha) - + // rhosinAlpha * (rhosinAlpha - alpha * sinRhoCosAlpha))) / + // (halfPi_RhoCosAlpha * halfPi_RhoCosAlpha)); + // } + // r = + // rho + + // (gingeryIntegrate(s_, rhoCosAlpha, x) * (pi - rho)) / + // gingeryIntegrate(s_, rhoCosAlpha, pi); + // theta = theta0 + alpha; + // x = r * cos(theta); + // y = r * sin(theta); + // } + // return azimuthalEquidistantRaw.invert(x, y); + // }; + + return forward; +} + +function gingeryLength(alpha, k) { + return function (x) { + var y_ = alpha * cos(x); + if (x < halfPi) y_ -= k; + return sqrt(1 + y_ * y_); + }; +} + +// Numerical integration: trapezoidal rule. +function gingeryIntegrate(f, a, b) { + var n = 50, + h = (b - a) / n, + s = f(a) + f(b); + for (var i = 1, x = a; i < n; ++i) s += 2 * f((x += h)); + return s * 0.5 * h; +} + +export default function () { + var n = 6, + rho = 30 * radians, + cRho = cos(rho), + sRho = sin(rho), + m = d3.geoProjectionMutator(gingeryRaw), + p = m(rho, n), + stream_ = p.stream, + epsilon = 1e-2, + cr = -cos(epsilon * radians), + sr = sin(epsilon * radians); + + // p.radius = function (_) { + // if (!arguments.length) return rho * degrees; + // cRho = cos((rho = _ * radians)); + // sRho = sin(rho); + // return m(rho, n); + // }; + + // p.lobes = function (_) { + // if (!arguments.length) return n; + // return m(rho, (n = +_)); + // }; + + p.stream = function (stream) { + var rotate = p.rotate(), + rotateStream = stream_(stream), + sphereStream = (p.rotate([0, 0]), stream_(stream)); + p.rotate(rotate); + rotateStream.sphere = function () { + sphereStream.polygonStart(), sphereStream.lineStart(); + for (var i = 0, delta = (2 * pi) / n, phi = 0; i < n; ++i, phi -= delta) { + sphereStream.point( + atan2(sr * cos(phi), cr) * degrees, + asin(sr * sin(phi)) * degrees + ); + sphereStream.point( + atan2(sRho * cos(phi - delta / 2), cRho) * degrees, + asin(sRho * sin(phi - delta / 2)) * degrees + ); + } + sphereStream.lineEnd(), sphereStream.polygonEnd(); + }; + return rotateStream; + }; + + return p + .rotate([0, 90]) + .scale(91.7095) + .clipAngle(180 - 1e-3); +} diff --git a/challenges/26-projections/gingeryspiral.html b/challenges/26-projections/gingeryspiral.html new file mode 100644 index 0000000..4e9d1d4 --- /dev/null +++ b/challenges/26-projections/gingeryspiral.html @@ -0,0 +1,92 @@ + + + + + + + Custom Gingery-Spiral Projection Map + + + + + + + + diff --git a/challenges/26-projections/math.js b/challenges/26-projections/math.js new file mode 100644 index 0000000..99f40ab --- /dev/null +++ b/challenges/26-projections/math.js @@ -0,0 +1,68 @@ +export var abs = Math.abs; +export var atan = Math.atan; +export var atan2 = Math.atan2; +export var ceil = Math.ceil; +export var cos = Math.cos; +export var exp = Math.exp; +export var floor = Math.floor; +export var log = Math.log; +export var max = Math.max; +export var min = Math.min; +export var pow = Math.pow; +export var round = Math.round; +export var sign = + Math.sign || + function (x) { + return x > 0 ? 1 : x < 0 ? -1 : 0; + }; +export var sin = Math.sin; +export var tan = Math.tan; + +export var epsilon = 1e-6; +export var epsilon2 = 1e-12; +export var pi = Math.PI; +export var halfPi = pi / 2; +export var quarterPi = pi / 4; +export var sqrt1_2 = Math.SQRT1_2; +export var sqrt2 = sqrt(2); +export var sqrtPi = sqrt(pi); +export var tau = pi * 2; +export var degrees = 180 / pi; +export var radians = pi / 180; + +export function sinci(x) { + return x ? x / Math.sin(x) : 1; +} + +export function asin(x) { + return x > 1 ? halfPi : x < -1 ? -halfPi : Math.asin(x); +} + +export function acos(x) { + return x > 1 ? 0 : x < -1 ? pi : Math.acos(x); +} + +export function sqrt(x) { + return x > 0 ? 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