@tolokoban/tgd
Version:
ToloGameDev library for WebGL2
230 lines • 19 kB
JavaScript
import { vec3 } from "gl-matrix";
import { tgdCalcMix } from "../utils/math.js";
export class TgdVec3 extends Float32Array {
static newFrom([x, y, z]) {
return new TgdVec3(x, y, z);
}
static newFromMix([x1, y1, z1], [x2, y2, z2], a = 0.5) {
const b = 1 - a;
const x = b * x1 + a * x2;
const y = b * y1 + a * y2;
const z = b * z1 + a * z2;
return new TgdVec3(x, y, z);
}
static distance(from, to) {
const x = to.x - from.x;
const y = to.y - from.y;
const z = to.z - from.z;
return Math.hypot(x, y, z);
}
static center(points) {
const center = new TgdVec3();
if (points.length === 0)
return center;
for (const point of points) {
center.add(point);
}
center.scale(1 / points.length);
return center;
}
constructor(x = 0, y = 0, z = 0) {
super(3);
if (typeof x !== "number") {
this.x = x[0];
this.y = x[1];
this.z = x[2];
return;
}
this.x = x;
this.y = y;
this.z = z;
}
clone() {
return new TgdVec3(this);
}
mix(vec, alpha = 0.5) {
const beta = 1 - alpha;
this.x = beta * this.x + alpha * vec.x;
this.y = beta * this.y + alpha * vec.y;
this.z = beta * this.z + alpha * vec.z;
return this;
}
isEqual(vec) {
const [x, y, z] = vec;
if (x !== this.x)
return false;
if (y !== this.y)
return false;
if (z !== this.z)
return false;
return true;
}
isClose(vec, epsilon = 1e-6) {
const [x, y, z] = vec;
if (Math.abs(x - this.x) > epsilon)
return false;
if (Math.abs(y - this.y) > epsilon)
return false;
if (Math.abs(z - this.z) > epsilon)
return false;
return true;
}
/**
* __Warning__, for performance reason, `axis` is supposed to be of length 1.
* Otherwise, the result will be a vector rotated then scaled by the length of `axis`.
*/
rotateAround(axis, angleInRadians) {
// result := V.cos(a) + (K×V).sin(a) + K(K.V)(1 - cos(a))
const C = Math.cos(angleInRadians);
const S = Math.sin(angleInRadians);
const [Vx, Vy, Vz] = this;
const [Kx, Ky, Kz] = axis;
const dot = Vx * Kx + Vy * Ky + Vz * Kz;
const crossX = Ky * Vz - Kz * Vy;
const crossY = Kz * Vx - Kx * Vz;
const crossZ = Kx * Vy - Ky * Vx;
const a = dot * (1 - C);
this.x = Vx * C + crossX * S + Kx * a;
this.y = Vy * C + crossY * S + Ky * a;
this.z = Vz * C + crossZ * S + Kz * a;
return this;
}
/**
* V := M×V
*/
applyMatrix(matrix) {
const { x, y, z } = this;
this.x = x * matrix.m00 + y * matrix.m10 + z * matrix.m20;
this.y = x * matrix.m01 + y * matrix.m11 + z * matrix.m21;
this.z = x * matrix.m02 + y * matrix.m12 + z * matrix.m22;
return this;
}
applyQuaternion(quaternion) {
vec3.transformQuat(this, this, quaternion);
return this;
}
from(vec) {
const [x, y, z] = vec;
this.x = x;
this.y = y;
this.z = z;
return this;
}
/**
* `this = -vec`
*/
fromOpposite(vec) {
const [x, y, z] = vec;
this.x = -x;
this.y = -y;
this.z = -z;
return this;
}
fromMix(valueAtT0, valueAtT1, t) {
const [ax, ay, az] = valueAtT0;
const [bx, by, bz] = valueAtT1;
return this.reset(tgdCalcMix(ax, bx, t), tgdCalcMix(ay, by, t), tgdCalcMix(az, bz, t));
}
reset(x = 0, y = 0, z = 0) {
this[0] = x;
this[1] = y;
this[2] = z;
return this;
}
distanceToLineSquared(origin, normalizedDirection) {
const [mx, my, mz] = this;
const [ox, oy, oz] = origin;
const [dx, dy, dz] = normalizedDirection;
const OH = dx * (mx - ox) + dy * (my - oy) + dz * (mz - oz);
const hx = ox + OH * dx;
const hy = oy + OH * dy;
const hz = oz + OH * dz;
const x = mx - hx;
const y = my - hy;
const z = mz - hz;
return x * x + y * y + z * z;
}
get x() {
return this[0];
}
set x(value) {
this[0] = value;
}
get y() {
return this[1];
}
set y(value) {
this[1] = value;
}
get z() {
return this[2];
}
set z(value) {
this[2] = value;
}
add(...vectors) {
for (const vec of vectors) {
const [x, y, z] = vec;
this[0] += x;
this[1] += y;
this[2] += z;
}
return this;
}
addWithScale(vec, scale) {
this[0] += vec.x * scale;
this[1] += vec.y * scale;
this[2] += vec.z * scale;
return this;
}
subtract(vec) {
this[0] -= vec[0];
this[1] -= vec[1];
this[2] -= vec[2];
return this;
}
scale(factor) {
this[0] *= factor;
this[1] *= factor;
this[2] *= factor;
return this;
}
dot(vec) {
return this[0] * vec[0] + this[1] * vec[1] + this[2] * vec[2];
}
get size() {
return Math.hypot(this[0], this[1], this[2]);
}
normalize() {
const squareLength = this[0] * this[0] + this[1] * this[1] + this[2] * this[2];
if (squareLength === 0)
return this;
return this.scale(1 / Math.sqrt(squareLength));
}
cross(vec) {
const [x1, y1, z1] = this;
const [x2, y2, z2] = vec;
this[0] = y1 * z2 - y2 * z1;
this[1] = z1 * x2 - z2 * x1;
this[2] = x1 * y2 - x2 * y1;
return this;
}
/**
* Set random values between -0.5 and +0.5 to each coordinate.
*/
random() {
this[0] = Math.random() - 0.5;
this[1] = Math.random() - 0.5;
this[2] = Math.random() - 0.5;
return this;
}
debug(caption = "vec3") {
const { x, y, z } = this;
const out = [x, y, z].map(n => n.toFixed(6));
console.log(`${caption}: `, out.join(" | "), " length:", Math.hypot(x, y, z));
}
}
TgdVec3.X = new TgdVec3(1, 0, 0);
TgdVec3.Y = new TgdVec3(0, 1, 0);
TgdVec3.Z = new TgdVec3(0, 0, 1);
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