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doc(Ellipsoid): update and refine documentation
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Desplandis committed Dec 19, 2024
1 parent 12365ee commit d717a6c
Showing 1 changed file with 40 additions and 1 deletion.
41 changes: 40 additions & 1 deletion src/Core/Math/Ellipsoid.ts
Original file line number Diff line number Diff line change
Expand Up @@ -2,6 +2,10 @@ import * as THREE from 'three';
import proj4 from 'proj4';
import Coordinates from '../Geographic/Coordinates';

/**
* Length of the semi-axes of the WGS84 ellipsoid.
* @internal
*/
export const ellipsoidSizes = new THREE.Vector3(
proj4.WGS84.a,
proj4.WGS84.a,
Expand All @@ -10,12 +14,22 @@ export const ellipsoidSizes = new THREE.Vector3(
const normal = new THREE.Vector3();

class Ellipsoid {
/**
* Length of the semi-axes of the ellipsoid.
*/
size: THREE.Vector3;
/**
* Eccentricity of the ellipsoid.
*/
eccentricity: number;

private _radiiSquared: THREE.Vector3;
private _invRadiiSquared: THREE.Vector3;

/**
* @param size - Length of the semi-axes of the ellipsoid. Defaults to those
* defined by the WGS84 ellipsoid.
*/
constructor(size: THREE.Vector3 = ellipsoidSizes) {
this.size = new THREE.Vector3();
this._radiiSquared = new THREE.Vector3();
Expand All @@ -25,10 +39,26 @@ class Ellipsoid {
this.setSize(size);
}

/**
* Computes the normal vector to an ellipsoid at the given cartesian
* coordinate `(x, y, z)`.
*
* @param cartesian - The given cartesian coordinate.
* @param target - An object to store this vector to. If this is not
* specified, a new vector will be created.
*/
geodeticSurfaceNormal(cartesian: Coordinates, target = new THREE.Vector3()) {
return cartesian.toVector3(target).multiply(this._invRadiiSquared).normalize();
}

/**
* Computes the normal vector to an ellipsoid at the given geographic
* coordinate `(longitude, latitude, altitude)`.
*
* @param coordCarto - The given geographic coordinate.
* @param target - An object to store this vector to. If this is not
* specified, a new vector will be created.
*/
geodeticSurfaceNormalCartographic(coordCarto: Coordinates, target = new THREE.Vector3()) {
const longitude = THREE.MathUtils.degToRad(coordCarto.longitude);
const latitude = THREE.MathUtils.degToRad(coordCarto.latitude);
Expand All @@ -39,7 +69,14 @@ class Ellipsoid {
Math.sin(latitude));
}

setSize(size: THREE.Vector3Like) {
/**
* Sets the length of the semi-axes of this ellipsoid from a 3-dimensional
* vector-like object. The object shall have both `x`, `y` and `z`
* properties.
*
* @param size - The source vector.
*/
setSize(size: THREE.Vector3Like): this {
this.size.set(size.x, size.y, size.z);

this._radiiSquared.multiplyVectors(size, size);
Expand All @@ -49,6 +86,8 @@ class Ellipsoid {
this._invRadiiSquared.z = (size.z === 0) ? 0 : 1 / this._radiiSquared.z;

this.eccentricity = Math.sqrt(this._radiiSquared.x - this._radiiSquared.z) / this.size.x;

return this;
}

cartographicToCartesian(coordCarto: Coordinates, target = new THREE.Vector3()) {
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