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596 lines
15 KiB
596 lines
15 KiB
3 years ago
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// • ▌ ▄ ·. ▄▄▄· ▄▄ • ▪ ▄▄· ▄▄▄▄· ▄▄▄· ▐▄▄▄ ▄▄▄ .
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// ·██ ▐███▪▐█ ▀█ ▐█ ▀ ▪██ ▐█ ▌▪▐█ ▀█▪▐█ ▀█ •█▌ ▐█▐▌·
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// ▐█ ▌▐▌▐█·▄█▀▀█ ▄█ ▀█▄▐█·██ ▄▄▐█▀▀█▄▄█▀▀█ ▐█▐ ▐▌▐▀▀▀
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// ██ ██▌▐█▌▐█ ▪▐▌▐█▄▪▐█▐█▌▐███▌██▄▪▐█▐█ ▪▐▌██▐ █▌▐█▄▄▌
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// ▀▀ █▪▀▀▀ ▀ ▀ ·▀▀▀▀ ▀▀▀·▀▀▀ ·▀▀▀▀ ▀ ▀ ▀▀ █▪ ▀▀▀
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// Magicbane Emulator Project © 2013 - 2022
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// www.magicbane.com
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package engine.math;
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import java.io.IOException;
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import java.io.ObjectInput;
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import java.io.ObjectOutput;
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import java.util.concurrent.ThreadLocalRandom;
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import static engine.math.FastMath.sqr;
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public class Vector3fImmutable {
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public final float x, y, z;
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public Vector3fImmutable() {
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x = y = z = 0.0f;
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}
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public Vector3fImmutable(float x, float y, float z) {
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this.x = x;
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this.y = y;
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this.z = z;
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}
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public Vector3fImmutable(Vector3f original) {
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this.x = original.x;
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this.y = original.y;
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this.z = original.z;
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}
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public Vector3fImmutable(Vector3fImmutable original) {
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this.x = original.x;
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this.y = original.y;
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this.z = original.z;
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}
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public boolean isInsideCircle(Vector3fImmutable circleCenter, float radius) {
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return (circleCenter.distanceSquared2D(this) < sqr(radius));
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}
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public Vector3fImmutable add(Vector3f vec) {
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if (null == vec)
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return null;
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return new Vector3fImmutable(x + vec.x, y + vec.y, z + vec.z);
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}
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public Vector3fImmutable add(Vector3fImmutable vec) {
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if (null == vec)
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return null;
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return new Vector3fImmutable(x + vec.x, y + vec.y, z + vec.z);
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}
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public Vector3fImmutable add(float x, float y, float z) {
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return new Vector3fImmutable(this.x + x, this.y + y, this.z + z);
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}
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public Vector3fImmutable scaleAdd(float scalar, Vector3fImmutable add) {
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return new Vector3fImmutable(x * scalar + add.x, y * scalar + add.y , z
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* scalar + add.z);
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}
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public static Vector3fImmutable scaleAdd(float scalar, Vector3fImmutable mult,
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Vector3fImmutable add) {
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return new Vector3fImmutable(mult.x * scalar + add.x, mult.y * scalar
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+ add.y, mult.z * scalar + add.z);
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}
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public float dot(Vector3fImmutable vec) {
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if (null == vec) {
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return 0.0f;
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}
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return x * vec.x + y * vec.y + z * vec.z;
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}
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public float dot2D(Vector3fImmutable vec) {
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if (null == vec) {
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return 0.0f;
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}
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return x * vec.x + z * vec.z;
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}
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public Vector3fImmutable cross(Vector3fImmutable v) {
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return cross(v.x, v.y, v.z);
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}
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public Vector3fImmutable cross(float x, float y, float z) {
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return new Vector3fImmutable(this.y * z - this.z * y, this.z * x
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- this.x * z, this.x * y - this.y * x);
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}
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public float length() {
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return FastMath.sqrt(lengthSquared());
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}
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public float lengthSquared() {
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return x * x + y * y + z * z;
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}
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public float distanceSquared(Vector3fImmutable v) {
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double dx = x - v.x;
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double dy = y - v.y;
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double dz = z - v.z;
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return (float) (dx * dx + dy * dy + dz * dz);
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}
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public float magnitude() {
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return FastMath.sqrt(sqrMagnitude());
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}
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public float sqrMagnitude() {
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return x * x + y * y + z * z;
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}
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public Vector3fImmutable moveTowards (Vector3fImmutable target, float maxDistanceDelta)
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{
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Vector3fImmutable outVector;
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Vector3fImmutable direction = target.subtract2D(this);
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float magnitude = direction.magnitude();
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if (magnitude <= maxDistanceDelta || magnitude == 0f)
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{
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return target;
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}
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outVector = direction.divide(magnitude).mult(maxDistanceDelta);
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outVector = this.add(outVector);
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return outVector;
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}
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public float distanceSquared2D(Vector3fImmutable v) {
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double dx = x - v.x;
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double dz = z - v.z;
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return (float) (dx * dx + dz * dz);
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}
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public float distance(Vector3fImmutable v) {
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return FastMath.sqrt(distanceSquared(v));
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}
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public float distance2D(Vector3fImmutable v) {
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return FastMath.sqrt(distanceSquared2D(v));
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}
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public Vector3fImmutable mult(float scalar) {
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return new Vector3fImmutable(x * scalar, y * scalar, z * scalar);
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}
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public Vector3fImmutable mult(Vector3fImmutable vec) {
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if (null == vec) {
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return null;
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}
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return new Vector3fImmutable(x * vec.x, y * vec.y, z * vec.z);
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}
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public Vector3fImmutable divide(float scalar) {
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scalar = 1f / scalar;
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return new Vector3fImmutable(x * scalar, y * scalar, z * scalar);
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}
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public Vector3fImmutable divide(Vector3fImmutable scalar) {
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return new Vector3fImmutable(x / scalar.x, y / scalar.y, z / scalar.z);
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}
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public Vector3fImmutable negate() {
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return new Vector3fImmutable(-x, -y, -z);
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}
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public Vector3fImmutable subtract(Vector3fImmutable vec) {
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return new Vector3fImmutable(x - vec.x, y - vec.y, z - vec.z);
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}
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public Vector3fImmutable subtract2D(Vector3fImmutable vec) {
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return new Vector3fImmutable(x - vec.x, 0, z - vec.z);
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}
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public Vector3fImmutable subtract(float x, float y, float z) {
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return new Vector3fImmutable(this.x - x, this.y - y, this.z - z);
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}
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public Vector3fImmutable normalize() {
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float length = length();
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if (length != 0) {
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return divide(length);
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}
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return divide(1);
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}
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public float angleBetween(Vector3fImmutable otherVector) {
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float dotProduct = dot(otherVector);
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return FastMath.acos(dotProduct);
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}
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public float angleBetween2D(Vector3fImmutable otherVector) {
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float dotProduct = dot(otherVector);
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return FastMath.acos(dotProduct);
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}
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public Vector3fImmutable interpolate(Vector3f finalVec, float changeAmnt) {
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return new Vector3fImmutable((1 - changeAmnt) * this.x + changeAmnt
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* finalVec.x, (1 - changeAmnt) * this.y + changeAmnt
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* finalVec.y, (1 - changeAmnt) * this.z + changeAmnt
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* finalVec.z);
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}
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public Vector3fImmutable interpolate(Vector3fImmutable finalVec, float changeAmnt) {
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return new Vector3fImmutable((1 - changeAmnt) * this.x + changeAmnt
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* finalVec.x, (1 - changeAmnt) * this.y + changeAmnt
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* finalVec.y, (1 - changeAmnt) * this.z + changeAmnt
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* finalVec.z);
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}
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public static boolean isValidVector(Vector3fImmutable vector) {
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if (vector == null)
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return false;
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if (Float.isNaN(vector.x) || Float.isNaN(vector.y)
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|| Float.isNaN(vector.z))
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return false;
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return !Float.isInfinite(vector.x) && !Float.isInfinite(vector.y)
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&& !Float.isInfinite(vector.z);
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}
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@Override
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public Vector3fImmutable clone() throws CloneNotSupportedException {
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return (Vector3fImmutable) super.clone();
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}
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public float[] toArray(float[] floats) {
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if (floats == null) {
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floats = new float[3];
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}
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floats[0] = x;
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floats[1] = y;
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floats[2] = z;
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return floats;
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}
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@Override
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public boolean equals(Object o) {
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if (!(o instanceof Vector3fImmutable)) {
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return false;
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}
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if (this == o) {
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return true;
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}
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Vector3fImmutable comp = (Vector3fImmutable) o;
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if (Float.compare(x, comp.x) != 0)
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return false;
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if (Float.compare(y, comp.y) != 0)
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return false;
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return Float.compare(z, comp.z) == 0;
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}
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@Override
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public int hashCode() {
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int hash = 37;
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hash += 37 * hash + Float.floatToIntBits(x);
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hash += 37 * hash + Float.floatToIntBits(y);
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hash += 37 * hash + Float.floatToIntBits(z);
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return hash;
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}
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public static Vector3fImmutable readExternal(ObjectInput in)
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throws IOException, ClassNotFoundException {
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return new Vector3fImmutable(in.readFloat(), in.readFloat(), in
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.readFloat());
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}
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public void writeExternal(ObjectOutput out) throws IOException {
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out.writeFloat(x);
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out.writeFloat(y);
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out.writeFloat(z);
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}
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public Vector3fImmutable getOffset(float rotation, float xOffset, float yOffset, float zOffset, boolean invertZ) {
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float sin = FastMath.sin(rotation);
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float cos = FastMath.cos(rotation);
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Vector3f faceDir = new Vector3f(sin, 0f, cos);
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Vector3f crossDir = new Vector3f(cos, 0f, sin);
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faceDir.multLocal(zOffset);
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crossDir.multLocal(xOffset);
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if (invertZ) {
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faceDir.z = -faceDir.z;
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crossDir.z = -crossDir.z;
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}
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Vector3f loc = new Vector3f(this);
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loc.addLocal(faceDir);
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loc.addLocal(crossDir);
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loc.y += yOffset;
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return new Vector3fImmutable(loc);
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}
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public float getX() {
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return x;
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}
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public float getY() {
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return y;
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}
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public float getZ() {
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return z;
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}
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public float get(int index) {
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switch (index) {
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case 0:
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return x;
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case 1:
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return y;
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case 2:
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return z;
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}
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throw new IllegalArgumentException("index must be either 0, 1 or 2");
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}
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public Vector2f getLatLong() {
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return new Vector2f(this.x, this.z);
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}
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public synchronized float getLat() {
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return x;
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}
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public synchronized float getLong() {
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return z;
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}
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public synchronized float getAlt() {
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return y;
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}
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public Vector3fImmutable setX(float x) {
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return new Vector3fImmutable(x, y, z);
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}
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public Vector3fImmutable setY(float y) {
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return new Vector3fImmutable(x, y, z);
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}
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public Vector3fImmutable setZ(float z) {
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return new Vector3fImmutable(x, y, z);
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}
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public float getRotation() {
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return 3.14f + FastMath.atan2(-x, -z);
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}
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public boolean inRange2D(Vector3fImmutable otherVec, float range){
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float distance = this.distanceSquared2D(otherVec);
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return !(distance > range * range);
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}
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public static String toString(Vector3fImmutable vector) {
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return vector.toString();
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}
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@Override
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public String toString() {
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String outString;
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outString = "(" + this.x + '/' + this.y + '/' + this.z;
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return outString;
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}
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public String toString2D() {
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String outString;
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outString = "( " + (int)this.x + " , " + (int)(this.z *-1) +" )";
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return outString;
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}
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public static Vector3fImmutable ClosestPointOnLine(Vector3fImmutable lineStart, Vector3fImmutable lineEnd, Vector3fImmutable sourcePoint) {
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Vector3fImmutable closestPoint;
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Vector3fImmutable lineStartToTarget;
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Vector3fImmutable lineDirection;
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float lineLength;
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float dotProduct;
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lineStartToTarget = sourcePoint.subtract(lineStart);
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lineDirection = lineEnd.subtract(lineStart).normalize();
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lineLength = lineStart.distance2D(lineEnd);
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dotProduct = lineDirection.dot(lineStartToTarget);
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if (dotProduct <= 0)
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return lineStart;
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if (dotProduct >= lineLength)
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return lineEnd;
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// Project the point by advancing it along the line from
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// the starting point.
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closestPoint = lineDirection.mult(dotProduct);
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closestPoint = lineStart.add(closestPoint);
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return closestPoint;
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}
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public Vector3fImmutable ClosestPointOnLine(Vector3fImmutable lineStart, Vector3fImmutable lineEnd) {
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Vector3fImmutable closestPoint;
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Vector3fImmutable lineStartToTarget;
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Vector3fImmutable lineDirection;
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float lineLength;
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float dotProduct;
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lineStartToTarget = this.subtract(lineStart);
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lineDirection = lineEnd.subtract(lineStart).normalize();
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lineLength = lineStart.distance2D(lineEnd);
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dotProduct = lineDirection.dot(lineStartToTarget);
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if (dotProduct <= 0)
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return lineStart;
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if (dotProduct >= lineLength)
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return lineEnd;
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// Project the point by advancing it along the line from
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// the starting point.
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closestPoint = lineDirection.mult(dotProduct);
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closestPoint = lineStart.add(closestPoint);
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return closestPoint;
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}
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public static Vector3fImmutable rotateAroundPoint(Vector3fImmutable origin, Vector3fImmutable point, int angle) {
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|
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|
float angleRadians;
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|
int modifiedAngle;
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|
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|
// Convert angle to radians
|
||
|
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|
modifiedAngle = angle;
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||
|
|
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|
if (angle < 0)
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|
modifiedAngle = 360 + modifiedAngle;
|
||
|
|
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|
angleRadians = (float) Math.toRadians(modifiedAngle);
|
||
|
|
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|
return rotateAroundPoint(origin, point, angleRadians);
|
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|
}
|
||
|
|
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|
public static Vector3fImmutable rotateAroundPoint(Vector3fImmutable origin, Vector3fImmutable point, float radians) {
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|
|
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|
Vector3fImmutable outVector;
|
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|
Vector3f directionVector;
|
||
|
Quaternion angleRotation;
|
||
|
|
||
|
// Build direction vector relative to origin
|
||
|
|
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|
directionVector = new Vector3f(point.subtract(origin));
|
||
|
|
||
|
// Build quaternion rotation
|
||
|
|
||
|
angleRotation = new Quaternion().fromAngleAxis(radians, new Vector3f(0,1,0));
|
||
|
// Apply rotation to direction vector
|
||
|
|
||
|
directionVector = angleRotation.mult(directionVector);
|
||
|
|
||
|
// Translate from origin back to new rotated point
|
||
|
|
||
|
outVector = origin.add(directionVector);
|
||
|
|
||
|
return outVector;
|
||
|
|
||
|
}
|
||
|
|
||
|
public static Vector3fImmutable rotateAroundPoint(Vector3fImmutable origin, Vector3fImmutable point,Quaternion angleRotation) {
|
||
|
|
||
|
Vector3fImmutable outVector;
|
||
|
Vector3f directionVector;
|
||
|
// Build direction vector relative to origin
|
||
|
directionVector = new Vector3f(point.subtract(origin));
|
||
|
|
||
|
// Build quaternion rotation
|
||
|
|
||
|
|
||
|
// Apply rotation to direction vector
|
||
|
|
||
|
|
||
|
directionVector = angleRotation.mult(directionVector);
|
||
|
|
||
|
// Translate from origin back to new rotated point
|
||
|
|
||
|
outVector = origin.add(directionVector);
|
||
|
|
||
|
return outVector;
|
||
|
|
||
|
}
|
||
|
|
||
|
public static Vector3fImmutable rotateAroundPoint(Vector3fImmutable origin, Vector3fImmutable point, float w, Vector3f axis) {
|
||
|
|
||
|
Vector3fImmutable outVector;
|
||
|
Vector3f directionVector;
|
||
|
Quaternion angleRotation;
|
||
|
|
||
|
// Build direction vector relative to origin
|
||
|
|
||
|
directionVector = new Vector3f(point.subtract(origin));
|
||
|
|
||
|
// Build quaternion rotation
|
||
|
|
||
|
angleRotation = new Quaternion().fromAngleAxis(w, axis);
|
||
|
// Apply rotation to direction vector
|
||
|
|
||
|
directionVector = angleRotation.mult(directionVector);
|
||
|
|
||
|
// Translate from origin back to new rotated point
|
||
|
|
||
|
outVector = origin.add(directionVector);
|
||
|
|
||
|
return outVector;
|
||
|
|
||
|
}
|
||
|
|
||
|
public static Vector3fImmutable getRandomPointInCircle(Vector3fImmutable origin, float radius) {
|
||
|
// Member variables
|
||
|
|
||
|
float targetAngle;
|
||
|
float targetRadius;
|
||
|
Vector3fImmutable targetPosition;
|
||
|
|
||
|
targetAngle = (float) (ThreadLocalRandom.current().nextFloat() * Math.PI * 2);
|
||
|
targetRadius = (float) (Math.sqrt(ThreadLocalRandom.current().nextFloat()) * radius);
|
||
|
targetPosition = new Vector3fImmutable((float) (origin.x + targetRadius * Math.cos(targetAngle)), origin.y, (float) (origin.z + targetRadius * Math.sin(targetAngle)));
|
||
|
return targetPosition;
|
||
|
}
|
||
|
|
||
|
public static Vector3fImmutable getLocBetween(Vector3fImmutable start, Vector3fImmutable end) {
|
||
|
// Member variables
|
||
|
|
||
|
Vector3fImmutable faceDirection = end.subtract(start).normalize();
|
||
|
float distance = end.distance(start) * .5f;
|
||
|
return faceDirection.scaleAdd(distance, start);
|
||
|
}
|
||
|
|
||
|
public static Vector3fImmutable getRandomPointOnCircle(Vector3fImmutable origin, float radius) {
|
||
|
|
||
|
// Member variables
|
||
|
|
||
|
int randomAngle;
|
||
|
Vector3fImmutable targetPosition;
|
||
|
|
||
|
randomAngle = ThreadLocalRandom.current().nextInt(360);
|
||
|
|
||
|
targetPosition = new Vector3fImmutable((float) (origin.x + radius * Math.cos(randomAngle)), origin.y, (float) (origin.z + radius * Math.sin(randomAngle)));
|
||
|
return targetPosition;
|
||
|
}
|
||
|
|
||
|
public static final Vector3fImmutable ZERO = new Vector3fImmutable(0,0,0);
|
||
|
|
||
|
public static Vector3fImmutable transform(Vector3fImmutable origin,Vector3fImmutable point, float angle){
|
||
|
|
||
|
//TRANSLATE TO ORIGIN
|
||
|
float x1 = point.x - origin.x;
|
||
|
float y1 = point.z - origin.z;
|
||
|
|
||
|
//APPLY ROTATION
|
||
|
float temp_x1 = (float) (x1 * Math.cos(angle) - y1 * Math.sin(angle));
|
||
|
float temp_z1 = (float) (x1 * Math.sin(angle) + y1 * Math.cos(angle));
|
||
|
|
||
|
temp_x1 += origin.x;
|
||
|
temp_z1 += origin.z;
|
||
|
|
||
|
return new Vector3fImmutable(temp_x1,point.y,temp_z1);
|
||
|
}
|
||
|
public float Lerp(Vector3fImmutable dest, float lerpFactor)
|
||
|
{
|
||
|
return dest.subtract(this).mult(lerpFactor).add(this).y;
|
||
|
}
|
||
|
}
|