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import defined from "./defined.js";
/**
* A set of curvilinear 3-dimensional coordinates.
*
* @alias Spherical
* @constructor
*
* @param {number} [clock=0.0] The angular coordinate lying in the xy-plane measured from the positive x-axis and toward the positive y-axis.
* @param {number} [cone=0.0] The angular coordinate measured from the positive z-axis and toward the negative z-axis.
* @param {number} [magnitude=1.0] The linear coordinate measured from the origin.
*/
function Spherical(clock, cone, magnitude) {
/**
* The clock component.
* @type {number}
* @default 0.0
*/
this.clock = clock ?? 0.0;
/**
* The cone component.
* @type {number}
* @default 0.0
*/
this.cone = cone ?? 0.0;
/**
* The magnitude component.
* @type {number}
* @default 1.0
*/
this.magnitude = magnitude ?? 1.0;
}
/**
* Converts the provided Cartesian3 into Spherical coordinates.
*
* @param {Cartesian3} cartesian3 The Cartesian3 to be converted to Spherical.
* @param {Spherical} [result] The object in which the result will be stored, if undefined a new instance will be created.
* @returns {Spherical} The modified result parameter, or a new instance if one was not provided.
*/
Spherical.fromCartesian3 = function (cartesian3, result) {
//>>includeStart('debug', pragmas.debug);
Check.typeOf.object("cartesian3", cartesian3);
//>>includeEnd('debug');
const x = cartesian3.x;
const y = cartesian3.y;
const z = cartesian3.z;
const radialSquared = x * x + y * y;
if (!defined(result)) {
result = new Spherical();
}
result.clock = Math.atan2(y, x);
result.cone = Math.atan2(Math.sqrt(radialSquared), z);
result.magnitude = Math.sqrt(radialSquared + z * z);
return result;
};
/**
* Creates a duplicate of a Spherical.
*
* @param {Spherical} spherical The spherical to clone.
* @param {Spherical} [result] The object to store the result into, if undefined a new instance will be created.
* @returns {Spherical} The modified result parameter or a new instance if result was undefined. (Returns undefined if spherical is undefined)
*/
Spherical.clone = function (spherical, result) {
Iif (!defined(spherical)) {
return undefined;
}
if (!defined(result)) {
return new Spherical(spherical.clock, spherical.cone, spherical.magnitude);
}
result.clock = spherical.clock;
result.cone = spherical.cone;
result.magnitude = spherical.magnitude;
return result;
};
/**
* Computes the normalized version of the provided spherical.
*
* @param {Spherical} spherical The spherical to be normalized.
* @param {Spherical} [result] The object to store the result into, if undefined a new instance will be created.
* @returns {Spherical} The modified result parameter or a new instance if result was undefined.
*/
Spherical.normalize = function (spherical, result) {
//>>includeStart('debug', pragmas.debug);
Check.typeOf.object("spherical", spherical);
//>>includeEnd('debug');
if (!defined(result)) {
return new Spherical(spherical.clock, spherical.cone, 1.0);
}
result.clock = spherical.clock;
result.cone = spherical.cone;
result.magnitude = 1.0;
return result;
};
/**
* Returns true if the first spherical is equal to the second spherical, false otherwise.
*
* @param {Spherical} [left] The first Spherical to be compared.
* @param {Spherical} [right] The second Spherical to be compared.
* @returns {boolean} true if the first spherical is equal to the second spherical, false otherwise.
*/
Spherical.equals = function (left, right) {
return (
left === right ||
(defined(left) &&
defined(right) &&
left.clock === right.clock &&
left.cone === right.cone &&
left.magnitude === right.magnitude)
);
};
/**
* Returns true if the first spherical is within the provided epsilon of the second spherical, false otherwise.
*
* @param {Spherical} left The first Spherical to be compared.
* @param {Spherical} right The second Spherical to be compared.
* @param {number} [epsilon=0.0] The epsilon to compare against.
* @returns {boolean} true if the first spherical is within the provided epsilon of the second spherical, false otherwise.
*/
Spherical.equalsEpsilon = function (left, right, epsilon) {
epsilon = epsilon ?? 0.0;
return (
left === right ||
(defined(left) &&
defined(right) &&
Math.abs(left.clock - right.clock) <= epsilon &&
Math.abs(left.cone - right.cone) <= epsilon &&
Math.abs(left.magnitude - right.magnitude) <= epsilon)
);
};
/**
* Returns true if this spherical is equal to the provided spherical, false otherwise.
*
* @param {Spherical} [other] The Spherical to be compared.
* @returns {boolean} true if this spherical is equal to the provided spherical, false otherwise.
*/
Spherical.prototype.equals = function (other) {
return Spherical.equals(this, other);
};
/**
* Creates a duplicate of this Spherical.
*
* @param {Spherical} [result] The object to store the result into, if undefined a new instance will be created.
* @returns {Spherical} The modified result parameter or a new instance if result was undefined.
*/
Spherical.prototype.clone = function (result) {
return Spherical.clone(this, result);
};
/**
* Returns true if this spherical is within the provided epsilon of the provided spherical, false otherwise.
*
* @param {Spherical} other The Spherical to be compared.
* @param {number} epsilon The epsilon to compare against.
* @returns {boolean} true if this spherical is within the provided epsilon of the provided spherical, false otherwise.
*/
Spherical.prototype.equalsEpsilon = function (other, epsilon) {
return Spherical.equalsEpsilon(this, other, epsilon);
};
/**
* Returns a string representing this instance in the format (clock, cone, magnitude).
*
* @returns {string} A string representing this instance.
*/
Spherical.prototype.toString = function () {
return `(${this.clock}, ${this.cone}, ${this.magnitude})`;
};
export default Spherical;
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