From f49df5c4e7989c1b2fac1908745afe996a246956 Mon Sep 17 00:00:00 2001 From: Michael Ennen Date: Tue, 2 Apr 2024 18:03:04 -0700 Subject: [PATCH] Split up the project into several different modules (will probably have a few more in the future). --- colormap.js | 18 + delaunay.js | 202 +++++++ index.html | 3 +- main.js | 889 +++++++++++++++++++++++++++++ math.js | 380 +++++++++++++ moody.js | 1480 +----------------------------------------------- webgl-debug.js | 402 +++---------- 7 files changed, 1565 insertions(+), 1809 deletions(-) create mode 100644 colormap.js create mode 100644 delaunay.js create mode 100644 main.js create mode 100644 math.js diff --git a/colormap.js b/colormap.js new file mode 100644 index 0000000..d1ddad4 --- /dev/null +++ b/colormap.js @@ -0,0 +1,18 @@ +// Turbo Color Map by Google: https://blog.research.google/2019/08/turbo-improved-rainbow-colormap-for.html +// Copyright 2019 Google LLC. +// SPDX-License-Identifier: Apache-2.0 +// Author: Anton Mikhailov +const turboColormapData = [[0.18995,0.07176,0.23217],[0.19483,0.08339,0.26149],[0.19956,0.09498,0.29024],[0.20415,0.10652,0.31844],[0.20860,0.11802,0.34607],[0.21291,0.12947,0.37314],[0.21708,0.14087,0.39964],[0.22111,0.15223,0.42558],[0.22500,0.16354,0.45096],[0.22875,0.17481,0.47578],[0.23236,0.18603,0.50004],[0.23582,0.19720,0.52373],[0.23915,0.20833,0.54686],[0.24234,0.21941,0.56942],[0.24539,0.23044,0.59142],[0.24830,0.24143,0.61286],[0.25107,0.25237,0.63374],[0.25369,0.26327,0.65406],[0.25618,0.27412,0.67381],[0.25853,0.28492,0.69300],[0.26074,0.29568,0.71162],[0.26280,0.30639,0.72968],[0.26473,0.31706,0.74718],[0.26652,0.32768,0.76412],[0.26816,0.33825,0.78050],[0.26967,0.34878,0.79631],[0.27103,0.35926,0.81156],[0.27226,0.36970,0.82624],[0.27334,0.38008,0.84037],[0.27429,0.39043,0.85393],[0.27509,0.40072,0.86692],[0.27576,0.41097,0.87936],[0.27628,0.42118,0.89123],[0.27667,0.43134,0.90254],[0.27691,0.44145,0.91328],[0.27701,0.45152,0.92347],[0.27698,0.46153,0.93309],[0.27680,0.47151,0.94214],[0.27648,0.48144,0.95064],[0.27603,0.49132,0.95857],[0.27543,0.50115,0.96594],[0.27469,0.51094,0.97275],[0.27381,0.52069,0.97899],[0.27273,0.53040,0.98461],[0.27106,0.54015,0.98930],[0.26878,0.54995,0.99303],[0.26592,0.55979,0.99583],[0.26252,0.56967,0.99773],[0.25862,0.57958,0.99876],[0.25425,0.58950,0.99896],[0.24946,0.59943,0.99835],[0.24427,0.60937,0.99697],[0.23874,0.61931,0.99485],[0.23288,0.62923,0.99202],[0.22676,0.63913,0.98851],[0.22039,0.64901,0.98436],[0.21382,0.65886,0.97959],[0.20708,0.66866,0.97423],[0.20021,0.67842,0.96833],[0.19326,0.68812,0.96190],[0.18625,0.69775,0.95498],[0.17923,0.70732,0.94761],[0.17223,0.71680,0.93981],[0.16529,0.72620,0.93161],[0.15844,0.73551,0.92305],[0.15173,0.74472,0.91416],[0.14519,0.75381,0.90496],[0.13886,0.76279,0.89550],[0.13278,0.77165,0.88580],[0.12698,0.78037,0.87590],[0.12151,0.78896,0.86581],[0.11639,0.79740,0.85559],[0.11167,0.80569,0.84525],[0.10738,0.81381,0.83484],[0.10357,0.82177,0.82437],[0.10026,0.82955,0.81389],[0.09750,0.83714,0.80342],[0.09532,0.84455,0.79299],[0.09377,0.85175,0.78264],[0.09287,0.85875,0.77240],[0.09267,0.86554,0.76230],[0.09320,0.87211,0.75237],[0.09451,0.87844,0.74265],[0.09662,0.88454,0.73316],[0.09958,0.89040,0.72393],[0.10342,0.89600,0.71500],[0.10815,0.90142,0.70599],[0.11374,0.90673,0.69651],[0.12014,0.91193,0.68660],[0.12733,0.91701,0.67627],[0.13526,0.92197,0.66556],[0.14391,0.92680,0.65448],[0.15323,0.93151,0.64308],[0.16319,0.93609,0.63137],[0.17377,0.94053,0.61938],[0.18491,0.94484,0.60713],[0.19659,0.94901,0.59466],[0.20877,0.95304,0.58199],[0.22142,0.95692,0.56914],[0.23449,0.96065,0.55614],[0.24797,0.96423,0.54303],[0.26180,0.96765,0.52981],[0.27597,0.97092,0.51653],[0.29042,0.97403,0.50321],[0.30513,0.97697,0.48987],[0.32006,0.97974,0.47654],[0.33517,0.98234,0.46325],[0.35043,0.98477,0.45002],[0.36581,0.98702,0.43688],[0.38127,0.98909,0.42386],[0.39678,0.99098,0.41098],[0.41229,0.99268,0.39826],[0.42778,0.99419,0.38575],[0.44321,0.99551,0.37345],[0.45854,0.99663,0.36140],[0.47375,0.99755,0.34963],[0.48879,0.99828,0.33816],[0.50362,0.99879,0.32701],[0.51822,0.99910,0.31622],[0.53255,0.99919,0.30581],[0.54658,0.99907,0.29581],[0.56026,0.99873,0.28623],[0.57357,0.99817,0.27712],[0.58646,0.99739,0.26849],[0.59891,0.99638,0.26038],[0.61088,0.99514,0.25280],[0.62233,0.99366,0.24579],[0.63323,0.99195,0.23937],[0.64362,0.98999,0.23356],[0.65394,0.98775,0.22835],[0.66428,0.98524,0.22370],[0.67462,0.98246,0.21960],[0.68494,0.97941,0.21602],[0.69525,0.97610,0.21294],[0.70553,0.97255,0.21032],[0.71577,0.96875,0.20815],[0.72596,0.96470,0.20640],[0.73610,0.96043,0.20504],[0.74617,0.95593,0.20406],[0.75617,0.95121,0.20343],[0.76608,0.94627,0.20311],[0.77591,0.94113,0.20310],[0.78563,0.93579,0.20336],[0.79524,0.93025,0.20386],[0.80473,0.92452,0.20459],[0.81410,0.91861,0.20552],[0.82333,0.91253,0.20663],[0.83241,0.90627,0.20788],[0.84133,0.89986,0.20926],[0.85010,0.89328,0.21074],[0.85868,0.88655,0.21230],[0.86709,0.87968,0.21391],[0.87530,0.87267,0.21555],[0.88331,0.86553,0.21719],[0.89112,0.85826,0.21880],[0.89870,0.85087,0.22038],[0.90605,0.84337,0.22188],[0.91317,0.83576,0.22328],[0.92004,0.82806,0.22456],[0.92666,0.82025,0.22570],[0.93301,0.81236,0.22667],[0.93909,0.80439,0.22744],[0.94489,0.79634,0.22800],[0.95039,0.78823,0.22831],[0.95560,0.78005,0.22836],[0.96049,0.77181,0.22811],[0.96507,0.76352,0.22754],[0.96931,0.75519,0.22663],[0.97323,0.74682,0.22536],[0.97679,0.73842,0.22369],[0.98000,0.73000,0.22161],[0.98289,0.72140,0.21918],[0.98549,0.71250,0.21650],[0.98781,0.70330,0.21358],[0.98986,0.69382,0.21043],[0.99163,0.68408,0.20706],[0.99314,0.67408,0.20348],[0.99438,0.66386,0.19971],[0.99535,0.65341,0.19577],[0.99607,0.64277,0.19165],[0.99654,0.63193,0.18738],[0.99675,0.62093,0.18297],[0.99672,0.60977,0.17842],[0.99644,0.59846,0.17376],[0.99593,0.58703,0.16899],[0.99517,0.57549,0.16412],[0.99419,0.56386,0.15918],[0.99297,0.55214,0.15417],[0.99153,0.54036,0.14910],[0.98987,0.52854,0.14398],[0.98799,0.51667,0.13883],[0.98590,0.50479,0.13367],[0.9836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+ +function interpolate(colormap, x) { + x = Math.max(0.0, Math.min(1.0, x)) + const a = Math.trunc(x * 255.0) + const b = Math.min(255, a + 1) + const f = x * 255.0 - a + return [colormap[a][0] + (colormap[b][0] - colormap[a][0]) * f, + colormap[a][1] + (colormap[b][1] - colormap[a][1]) * f, + colormap[a][2] + (colormap[b][2] - colormap[a][2]) * f, + 1.0] + } + +export { interpolate, turboColormapData } diff --git a/delaunay.js b/delaunay.js new file mode 100644 index 0000000..57a0842 --- /dev/null +++ b/delaunay.js @@ -0,0 +1,202 @@ +class Vector3 { + constructor(x, y, z) { + this.x = x + this.y = y + this.z = z + } + + cross(v) { + return new Vector3( + this.y * v.z - this.z * v.y, + this.z * v.x - this.x * v.z, + this.x * v.y - this.y * v.x) + } + + minus(v) { + return new Vector3(this.x - v.x, this.y - v.y, this.z - v.z) + } + + dot(v) { + return this.x * v.x + this.y * v.y + this.z * v.z + } + + norm() { + const length = Math.sqrt(this.x * this.x + this.y * this.y + this.z * this.z) + return new Vector3(this.x / length, this.y / length, this.z / length) + } +} + +// Delaunay Triangulation from: https://github.com/msavela/delaunay/ +class Vertex { + constructor(x, y, z) { + this.x = x + this.y = y + this.z = z + } + + equals(vertex) { + return this.x === vertex.x && this.y == vertex.y && this.z == vertex.z + } + } + + class Edge { + constructor(v0, v1) { + this.v0 = v0 + this.v1 = v1 + } + + equals(edge) { + return (this.v0.equals(edge.v0) && this.v1.equals(edge.v1)) || + (this.v0.equals(edge.v1) && this.v1.equals(edge.v0)) + } + } + + class Triangle { + constructor(v0, v1, v2) { + this.v0 = v0 + this.v1 = v1 + this.v2 = v2 + this.edgeVec0 = new Vector3(v1.x - v0.x, v1.y - v0.y, v1.z - v0.z) + this.edgeVec1 = new Vector3(v2.x - v0.x, v2.y - v0.y, v2.z - v0.z) + this.calcCircumcircle() + } + + calcCircumcircle() { + // Reference: http://www.faqs.org/faqs/graphics/algorithms-faq/ + // Subject 1.04: How do I generate a circle through three points? + const A = this.v1.x - this.v0.x + const B = this.v1.y - this.v0.y + const C = this.v2.x - this.v0.x + const D = this.v2.y - this.v0.y + + const E = A * (this.v0.x + this.v1.x) + B * (this.v0.y + this.v1.y) + const F = C * (this.v0.x + this.v2.x) + D * (this.v0.y + this.v2.y) + + const G = 2.0 * (A * (this.v2.y - this.v1.y) - B * (this.v2.x - this.v1.x)) + + let dx, dy + + // Collinear points, get extremes and use midpoint as center + if (Math.round(Math.abs(G)) == 0) { + const minx = Math.min(this.v0.x, this.v1.x, this.v2.x) + const miny = Math.min(this.v0.y, this.v1.y, this.v2.y) + const maxx = Math.max(this.v0.x, this.v1.x, this.v2.x) + const maxy = Math.max(this.v0.y, this.v1.y, this.v2.y) + + this.center = new Vertex((minx + maxx) / 2, (miny + maxy) / 2, 0) + + dx = this.center.x - minx + dy = this.center.y - miny + } else { + const cx = (D * E - B * F) / G + const cy = (A * F - C * E) / G + + this.center = new Vertex(cx, cy, 0) + + dx = this.center.x - this.v0.x + dy = this.center.y - this.v0.y + } + this.radius = Math.sqrt(dx * dx + dy * dy) + } + + inCircumcircle(v) { + const dx = this.center.x - v.x + const dy = this.center.y - v.y + return Math.sqrt(dx * dx + dy * dy) <= this.radius + } + + surfaceNormal() { + return this.edgeVec1.cross(this.edgeVec0) + } + } + + function getSuperTriangle(vertices) { + let minx = Infinity + let miny = Infinity + + let maxx = -Infinity + let maxy = -Infinity + vertices.forEach(vertex => { + minx = Math.min(minx, vertex.x) + miny = Math.min(minx, vertex.y) + maxx = Math.max(maxx, vertex.x) + maxy = Math.max(maxx, vertex.y) + }) + + const dx = (maxx - minx) * 10 + const dy = (maxy - miny) * 10 + + const v0 = new Vertex(minx - dx, miny - dy * 3, 0) + const v1 = new Vertex(minx - dx, maxy + dy, 0) + const v2 = new Vertex(maxx + dx * 3, maxy + dy, 0) + + return new Triangle(v0, v1, v2) + } + + function addVertex(vertex, triangles) { + let edges = [] + + // Remove triangles with circumcircles containing the vertex. + triangles = triangles.filter(triangle => { + if (triangle.inCircumcircle(vertex)) { + edges.push(new Edge(triangle.v0, triangle.v1)) + edges.push(new Edge(triangle.v1, triangle.v2)) + edges.push(new Edge(triangle.v2, triangle.v0)) + return false + } + return true + }) + + // Get unique edges. + edges = uniqueEdges(edges) + + // Create new triangles from the unique edges and new vertex. + edges.forEach(edge => { + triangles.push(new Triangle(edge.v0, edge.v1, vertex)) + }) + + return triangles + } + + function uniqueEdges(edges) { + const uniqueEdges = [] + for (let i = 0; i < edges.length; ++i) { + let isUnique = true + + // See if edge is unique. + for (let j = 0; j < edges.length; ++j) { + if (i != j && edges[i].equals(edges[j])) { + isUnique = false + break + } + } + + // Edge is unique, add to unique edges array. + isUnique && uniqueEdges.push(edges[i]) + } + + return uniqueEdges + } + + function bowyerWatson(vertices) { + // Create bounding 'super' triangle. + let st = getSuperTriangle(vertices) + // Initialize triangles while adding bounding triangle. + let triangles = [st] + + // Triangulate each vertex. + vertices.forEach(vertex => { + triangles = addVertex(vertex, triangles) + }) + + // Remove triangles that share edges with super triangle. + triangles = triangles.filter(triangle => { + return !(triangle.v0 == st.v0 || triangle.v0 == st.v1 || triangle.v0 == st.v2 || + triangle.v1 == st.v0 || triangle.v1 == st.v1 || triangle.v1 == st.v2 || + triangle.v2 == st.v0 || triangle.v2 == st.v1 || triangle.v2 == st.v2) + }) + + return triangles + } + +export { bowyerWatson, Vector3, Vertex } diff --git a/index.html b/index.html index cf0f098..f5966ba 100644 --- a/index.html +++ b/index.html @@ -3,8 +3,7 @@ MoodyJS - - +