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'use strict';
export class Mat3 {
constructor(arr = null) {
if (arr == null) {
this.identity();
}
else {
this.arr = arr;
}
}
i(row, col) {
const r = row-1
const c = col-1
const index = (3*r)+c
return this.arr[index]
}
identity() {
this.arr = [
1, 0, 0,
0, 1, 0,
0, 0, 1,
];
return this;
}
mul(other) {
const out = []
out[0] = (this.i(1,1)*other.i(1,1)) + (this.i(1,2)*other.i(2,1)) + (this.i(1,3)*other.i(3,1));
out[1] = (this.i(1,1)*other.i(1,2)) + (this.i(1,2)*other.i(2,2)) + (this.i(1,3)*other.i(3,2));
out[2] = (this.i(1,1)*other.i(1,3)) + (this.i(1,2)*other.i(2,3)) + (this.i(1,3)*other.i(3,3));
out[3] = (this.i(2,1)*other.i(1,1)) + (this.i(2,2)*other.i(2,1)) + (this.i(2,3)*other.i(3,1));
out[4] = (this.i(2,1)*other.i(1,2)) + (this.i(2,2)*other.i(2,2)) + (this.i(2,3)*other.i(3,2));
out[5] = (this.i(2,1)*other.i(1,3)) + (this.i(2,2)*other.i(2,3)) + (this.i(2,3)*other.i(3,3));
out[6] = (this.i(3,1)*other.i(1,1)) + (this.i(3,2)*other.i(2,1)) + (this.i(3,3)*other.i(3,1));
out[7] = (this.i(3,1)*other.i(1,2)) + (this.i(3,2)*other.i(2,2)) + (this.i(3,3)*other.i(3,2));
out[8] = (this.i(3,1)*other.i(1,3)) + (this.i(3,2)*other.i(2,3)) + (this.i(3,3)*other.i(3,3));
this.arr = out
return this
}
mulv(vec) {
const x = (this.i(1,1)*vec.x) + (this.i(1,2)*vec.y) + (this.i(1,3)*vec.z);
const y = (this.i(2,1)*vec.x) + (this.i(2,2)*vec.y) + (this.i(2,3)*vec.z);
const z = (this.i(3,1)*vec.x) + (this.i(3,2)*vec.y) + (this.i(3,3)*vec.z);
return new Vec3(x, y, z);
}
rotation(axis, angle) {
const cos = Math.cos(angle);
const sin = Math.sin(angle);
const mcos = 1-cos;
const msin = 1-sin;
this.arr[0] = cos + (axis.x * axis.x * mcos);
this.arr[1] = (axis.x * axis.y * mcos) - (axis.z * sin);
this.arr[2] = (axis.x * axis.z * mcos) + (axis.y * sin);
this.arr[3] = (axis.y * axis.x * mcos) + (axis.z * sin);
this.arr[4] = cos + (axis.y * axis.y * mcos);
this.arr[5] = (axis.y * axis.z * mcos) - (axis.x * sin);
this.arr[6] = (axis.z * axis.x * mcos) - (axis.y * sin);
this.arr[7] = (axis.z * axis.y * mcos) + (axis.x * sin);
this.arr[8] = cos + (axis.z * axis.z * mcos);
return this
}
}
export class Point {
constructor(latitude, longitude) {
this.lat = latitude;
this.long = longitude;
}
normal() {
const x = Math.cos(this.lat) * Math.cos(this.long)
const y = Math.cos(this.lat) * Math.sin(this.long)
const z = Math.sin(this.lat)
return new Vec3(x, y, z)
}
}
export class Vec3 {
constructor(x, y, z) {
this.x = x;
this.y = y;
this.z = z;
}
normalize() {
const len2 = (this.x*this.x) + (this.y*this.y) + (this.z*this.z);
const len = Math.sqrt(len2);
this.x = this.x/len;
this.y = this.y/len;
this.z = this.z/len;
return this;
}
point() {
const latitude = Math.asin(this.z);
const longitute =
Math.sign(this.this.y) * Math.acos(
this.x / Math.sqrt( (this.x*this.x) + (this.y*this.y) )
)
return new Point(latitude, longitude)
}
dot(vec) {
return (this.x * vec.x) + (this.y * vec.y) + (this.z * vec.z);
}
cross(vec) {
const x = (this.y*vec.z) - (this.z*vec.y);
const y = (this.z*vec.x) - (this.x*vec.z);
const z = (this.x*vec.y) - (this.y*vec.x);
return new Vec3(x, y, z);
}
transform(matrix) {
return matrix.mulv(this);
}
render(ct, view) {
const viewNorm = view.mulv(this);
if (viewNorm.z >= -0.01) {
ct.beginPath()
ct.arc(viewNorm.x, viewNorm.y, 0.01, 0, 2*Math.PI);
ct.fill();
}
}
}
export class Shape {
constructor(normals) {
this.normals = normals;
let avgx = 0;
let avgy = 0;
let avgz = 0;
for (let normal of normals) {
avgx += normal.x;
avgy += normal.y;
avgz += normal.z;
}
avgx /= normals.length;
avgy /= normals.length;
avgz /= normals.length;
this.center = new Vec3(avgx, avgy, avgz).normalize();
this.extent = 0
for (let normal of normals) {
this.extent = Math.max(this.extent, normal.dot(this.center));
}
}
translate(circle, angle) {
const transform = new Mat3().rotation(circle, angle);
for (let i=0; i<this.normals.length; i++) {
this.normals[i] = transform.mulv(this.normals[i]);
}
this.center = transform.mulv(this.normals[i]);
}
getNextRenderPoint(ct, start, view) {
for (let i=start; i<this.normals.length; i++) {
const v = view.mulv(this.normals[i]);
if (v.z >= -0.01) {
if (i != start) {
ct.stroke();
ct.beginPath();
ct.moveTo(v.x, v.y);
}
return [ i+1, v ];
}
}
return [null, null];
}
render(ct, view) {
ct.beginPath();
let i = 0;
let v;
[ i, v ] = this.getNextRenderPoint(ct, i, view);
if (v == null) {
// no renderable points
return;
}
ct.moveTo(v.x, v.y);
while(v != null) {
ct.lineTo(v.x, v.y);
[ i, v ] = this.getNextRenderPoint(ct, i, view);
}
ct.stroke();
}
}
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