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595 lines
15 KiB
595 lines
15 KiB
// • ▌ ▄ ·. ▄▄▄· ▄▄ • ▪ ▄▄· ▄▄▄▄· ▄▄▄· ▐▄▄▄ ▄▄▄ . |
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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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float angleRadians; |
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int modifiedAngle; |
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// Convert angle to radians |
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modifiedAngle = angle; |
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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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Vector3fImmutable outVector; |
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Vector3f directionVector; |
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Quaternion angleRotation; |
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// Build direction vector relative to origin |
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directionVector = new Vector3f(point.subtract(origin)); |
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// Build quaternion rotation |
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angleRotation = new Quaternion().fromAngleAxis(radians, new Vector3f(0,1,0)); |
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// Apply rotation to direction vector |
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directionVector = angleRotation.mult(directionVector); |
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// Translate from origin back to new rotated point |
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outVector = origin.add(directionVector); |
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return outVector; |
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} |
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public static Vector3fImmutable rotateAroundPoint(Vector3fImmutable origin, Vector3fImmutable point,Quaternion angleRotation) { |
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Vector3fImmutable outVector; |
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Vector3f directionVector; |
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// Build direction vector relative to origin |
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directionVector = new Vector3f(point.subtract(origin)); |
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// Build quaternion rotation |
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// Apply rotation to direction vector |
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directionVector = angleRotation.mult(directionVector); |
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// Translate from origin back to new rotated point |
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outVector = origin.add(directionVector); |
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return outVector; |
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} |
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public static Vector3fImmutable rotateAroundPoint(Vector3fImmutable origin, Vector3fImmutable point, float w, Vector3f axis) { |
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Vector3fImmutable outVector; |
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Vector3f directionVector; |
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Quaternion angleRotation; |
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// Build direction vector relative to origin |
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directionVector = new Vector3f(point.subtract(origin)); |
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// Build quaternion rotation |
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angleRotation = new Quaternion().fromAngleAxis(w, axis); |
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// Apply rotation to direction vector |
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directionVector = angleRotation.mult(directionVector); |
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// Translate from origin back to new rotated point |
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outVector = origin.add(directionVector); |
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return outVector; |
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} |
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public static Vector3fImmutable getRandomPointInCircle(Vector3fImmutable origin, float radius) { |
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// Member variables |
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float targetAngle; |
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float targetRadius; |
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Vector3fImmutable targetPosition; |
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targetAngle = (float) (ThreadLocalRandom.current().nextFloat() * Math.PI * 2); |
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targetRadius = (float) (Math.sqrt(ThreadLocalRandom.current().nextFloat()) * radius); |
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targetPosition = new Vector3fImmutable((float) (origin.x + targetRadius * Math.cos(targetAngle)), origin.y, (float) (origin.z + targetRadius * Math.sin(targetAngle))); |
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return targetPosition; |
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} |
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public static Vector3fImmutable getLocBetween(Vector3fImmutable start, Vector3fImmutable end) { |
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// Member variables |
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Vector3fImmutable faceDirection = end.subtract(start).normalize(); |
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float distance = end.distance(start) * .5f; |
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return faceDirection.scaleAdd(distance, start); |
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} |
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public static Vector3fImmutable getRandomPointOnCircle(Vector3fImmutable origin, float radius) { |
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// Member variables |
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int randomAngle; |
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Vector3fImmutable targetPosition; |
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randomAngle = ThreadLocalRandom.current().nextInt(360); |
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targetPosition = new Vector3fImmutable((float) (origin.x + radius * Math.cos(randomAngle)), origin.y, (float) (origin.z + radius * Math.sin(randomAngle))); |
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return targetPosition; |
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} |
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public static final Vector3fImmutable ZERO = new Vector3fImmutable(0,0,0); |
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public static Vector3fImmutable transform(Vector3fImmutable origin,Vector3fImmutable point, float angle){ |
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//TRANSLATE TO ORIGIN |
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float x1 = point.x - origin.x; |
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float y1 = point.z - origin.z; |
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//APPLY ROTATION |
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float temp_x1 = (float) (x1 * Math.cos(angle) - y1 * Math.sin(angle)); |
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float temp_z1 = (float) (x1 * Math.sin(angle) + y1 * Math.cos(angle)); |
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temp_x1 += origin.x; |
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temp_z1 += origin.z; |
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return new Vector3fImmutable(temp_x1,point.y,temp_z1); |
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} |
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public float Lerp(Vector3fImmutable dest, float lerpFactor) |
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{ |
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return dest.subtract(this).mult(lerpFactor).add(this).y; |
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} |
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}
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