forked from MagicBane/Server
You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
621 lines
18 KiB
621 lines
18 KiB
// • ▌ ▄ ·. ▄▄▄· ▄▄ • ▪ ▄▄· ▄▄▄▄· ▄▄▄· ▐▄▄▄ ▄▄▄ . |
|
// ·██ ▐███▪▐█ ▀█ ▐█ ▀ ▪██ ▐█ ▌▪▐█ ▀█▪▐█ ▀█ •█▌ ▐█▐▌· |
|
// ▐█ ▌▐▌▐█·▄█▀▀█ ▄█ ▀█▄▐█·██ ▄▄▐█▀▀█▄▄█▀▀█ ▐█▐ ▐▌▐▀▀▀ |
|
// ██ ██▌▐█▌▐█ ▪▐▌▐█▄▪▐█▐█▌▐███▌██▄▪▐█▐█ ▪▐▌██▐ █▌▐█▄▄▌ |
|
// ▀▀ █▪▀▀▀ ▀ ▀ ·▀▀▀▀ ▀▀▀·▀▀▀ ·▀▀▀▀ ▀ ▀ ▀▀ █▪ ▀▀▀ |
|
// Magicbane Emulator Project © 2013 - 2022 |
|
// www.magicbane.com |
|
|
|
package engine.math; |
|
|
|
/** |
|
* <code>Vector2f</code> defines a Vector for a two float value vector. |
|
*/ |
|
public class Vector2f { |
|
|
|
/** |
|
* the x value of the vector. |
|
*/ |
|
public float x; |
|
/** |
|
* the y value of the vector. |
|
*/ |
|
public float y; |
|
|
|
/** |
|
* Creates a Vector2f with the given initial x and y values. |
|
* |
|
* @param x The x value of this Vector2f. |
|
* @param y The y value of this Vector2f. |
|
*/ |
|
public Vector2f(float x, float y) { |
|
this.x = x; |
|
this.y = y; |
|
} |
|
|
|
/** |
|
* Creates a Vector2f with x and y set to 0. Equivalent to Vector2f(0,0). |
|
*/ |
|
public Vector2f() { |
|
x = y = 0; |
|
} |
|
|
|
/** |
|
* Creates a new Vector2f that contains the passed vector's information |
|
* |
|
* @param vector2f The vector to copy |
|
*/ |
|
public Vector2f(Vector2f vector2f) { |
|
this.x = vector2f.x; |
|
this.y = vector2f.y; |
|
} |
|
|
|
/** |
|
* Check a vector... if it is null or its floats are NaN or infinite, return |
|
* false. Else return true. |
|
* |
|
* @param vector the vector to check |
|
* @return true or false as stated above. |
|
*/ |
|
public static boolean isValidVector(Vector2f vector) { |
|
if (vector == null) |
|
return false; |
|
if (Float.isNaN(vector.x) || Float.isNaN(vector.y)) |
|
return false; |
|
return !Float.isInfinite(vector.x) && !Float.isInfinite(vector.y); |
|
} |
|
|
|
public static boolean isZeroVector(Vector2f vector) { |
|
|
|
return (vector.x == 0) && |
|
(vector.y == 0); |
|
|
|
} |
|
|
|
/** |
|
* set the x and y values of the vector |
|
* |
|
* @param x the x value of the vector. |
|
* @param y the y value of the vector. |
|
* @return this vector |
|
*/ |
|
public Vector2f set(float x, float y) { |
|
this.x = x; |
|
this.y = y; |
|
return this; |
|
} |
|
|
|
/** |
|
* set the x and y values of the vector from another vector |
|
* |
|
* @param vec the vector to copy from |
|
* @return this vector |
|
*/ |
|
public Vector2f set(Vector2f vec) { |
|
this.x = vec.x; |
|
this.y = vec.y; |
|
return this; |
|
} |
|
|
|
/** |
|
* <code>add</code> adds a provided vector to this vector creating a |
|
* resultant vector which is returned. If the provided vector is null, null |
|
* is returned. |
|
* |
|
* @param vec the vector to add to this. |
|
* @return the resultant vector. |
|
*/ |
|
public Vector2f add(Vector2f vec) { |
|
if (null == vec) { |
|
return null; |
|
} |
|
return new Vector2f(x + vec.x, y + vec.y); |
|
} |
|
|
|
/** |
|
* <code>addLocal</code> adds a provided vector to this vector internally, |
|
* and returns a handle to this vector for easy chaining of calls. If the |
|
* provided vector is null, null is returned. |
|
* |
|
* @param vec the vector to add to this vector. |
|
* @return this |
|
*/ |
|
public Vector2f addLocal(Vector2f vec) { |
|
if (null == vec) { |
|
return null; |
|
} |
|
x += vec.x; |
|
y += vec.y; |
|
return this; |
|
} |
|
|
|
/** |
|
* <code>addLocal</code> adds the provided values to this vector internally, |
|
* and returns a handle to this vector for easy chaining of calls. |
|
* |
|
* @param addX value to add to x |
|
* @param addY value to add to y |
|
* @return this |
|
*/ |
|
public Vector2f addLocal(float addX, float addY) { |
|
x += addX; |
|
y += addY; |
|
return this; |
|
} |
|
|
|
/** |
|
* <code>add</code> adds this vector by <code>vec</code> and stores the |
|
* result in <code>result</code>. |
|
* |
|
* @param vec The vector to add. |
|
* @param result The vector to store the result in. |
|
* @return The result vector, after adding. |
|
*/ |
|
public Vector2f add(Vector2f vec, Vector2f result) { |
|
if (null == vec) { |
|
return null; |
|
} |
|
if (result == null) |
|
result = new Vector2f(); |
|
result.x = x + vec.x; |
|
result.y = y + vec.y; |
|
return result; |
|
} |
|
|
|
/** |
|
* <code>dot</code> calculates the dot product of this vector with a |
|
* provided vector. If the provided vector is null, 0 is returned. |
|
* |
|
* @param vec the vector to dot with this vector. |
|
* @return the resultant dot product of this vector and a given vector. |
|
*/ |
|
public float dot(Vector2f vec) { |
|
if (null == vec) { |
|
return 0; |
|
} |
|
return x * vec.x + y * vec.y; |
|
} |
|
|
|
/** |
|
* <code>cross</code> calculates the cross product of this vector with a |
|
* parameter vector v. |
|
* |
|
* @param v the vector to take the cross product of with this. |
|
* @return the cross product vector. |
|
*/ |
|
public Vector3f cross(Vector2f v) { |
|
return new Vector3f(0, 0, determinant(v)); |
|
} |
|
|
|
public float determinant(Vector2f v) { |
|
return (x * v.y) - (y * v.x); |
|
} |
|
|
|
/** |
|
* Sets this vector to the interpolation by changeAmnt from this to the |
|
* finalVec this=(1-changeAmnt)*this + changeAmnt * finalVec |
|
* |
|
* @param finalVec The final vector to interpolate towards |
|
* @param changeAmnt An amount between 0.0 - 1.0 representing a percentage change |
|
* from this towards finalVec |
|
*/ |
|
public void interpolate(Vector2f finalVec, float changeAmnt) { |
|
this.x = (1 - changeAmnt) * this.x + changeAmnt * finalVec.x; |
|
this.y = (1 - changeAmnt) * this.y + changeAmnt * finalVec.y; |
|
} |
|
|
|
/** |
|
* Sets this vector to the interpolation by changeAmnt from beginVec to |
|
* finalVec this=(1-changeAmnt)*beginVec + changeAmnt * finalVec |
|
* |
|
* @param beginVec The begining vector (delta=0) |
|
* @param finalVec The final vector to interpolate towards (delta=1) |
|
* @param changeAmnt An amount between 0.0 - 1.0 representing a precentage change |
|
* from beginVec towards finalVec |
|
*/ |
|
public void interpolate(Vector2f beginVec, Vector2f finalVec, |
|
float changeAmnt) { |
|
this.x = (1 - changeAmnt) * beginVec.x + changeAmnt * finalVec.x; |
|
this.y = (1 - changeAmnt) * beginVec.y + changeAmnt * finalVec.y; |
|
} |
|
|
|
/** |
|
* <code>length</code> calculates the magnitude of this vector. |
|
* |
|
* @return the length or magnitude of the vector. |
|
*/ |
|
public float length() { |
|
return FastMath.sqrt(lengthSquared()); |
|
} |
|
|
|
/** |
|
* <code>lengthSquared</code> calculates the squared value of the magnitude |
|
* of the vector. |
|
* |
|
* @return the magnitude squared of the vector. |
|
*/ |
|
public float lengthSquared() { |
|
return x * x + y * y; |
|
} |
|
|
|
/** |
|
* <code>distanceSquared</code> calculates the distance squared between this |
|
* vector and vector v. |
|
* |
|
* @param v the second vector to determine the distance squared. |
|
* @return the distance squared between the two vectors. |
|
*/ |
|
public float distanceSquared(Vector2f v) { |
|
double dx = x - v.x; |
|
double dy = y - v.y; |
|
return (float) (dx * dx + dy * dy); |
|
} |
|
|
|
/** |
|
* <code>distanceSquared</code> calculates the distance squared between this |
|
* vector and vector v. |
|
* |
|
* @return the distance squared between the two vectors. |
|
*/ |
|
public float distanceSquared(float otherX, float otherY) { |
|
double dx = x - otherX; |
|
double dy = y - otherY; |
|
return (float) (dx * dx + dy * dy); |
|
} |
|
|
|
/** |
|
* <code>distance</code> calculates the distance between this vector and |
|
* vector v. |
|
* |
|
* @param v the second vector to determine the distance. |
|
* @return the distance between the two vectors. |
|
*/ |
|
public float distance(Vector2f v) { |
|
return FastMath.sqrt(distanceSquared(v)); |
|
} |
|
|
|
/** |
|
* <code>mult</code> multiplies this vector by a scalar. The resultant |
|
* vector is returned. |
|
* |
|
* @param scalar the value to multiply this vector by. |
|
* @return the new vector. |
|
*/ |
|
public Vector2f mult(float scalar) { |
|
return new Vector2f(x * scalar, y * scalar); |
|
} |
|
|
|
/** |
|
* <code>multLocal</code> multiplies this vector by a scalar internally, and |
|
* returns a handle to this vector for easy chaining of calls. |
|
* |
|
* @param scalar the value to multiply this vector by. |
|
* @return this |
|
*/ |
|
public Vector2f multLocal(float scalar) { |
|
x *= scalar; |
|
y *= scalar; |
|
return this; |
|
} |
|
|
|
/** |
|
* <code>multLocal</code> multiplies a provided vector to this vector |
|
* internally, and returns a handle to this vector for easy chaining of |
|
* calls. If the provided vector is null, null is returned. |
|
* |
|
* @param vec the vector to mult to this vector. |
|
* @return this |
|
*/ |
|
public Vector2f multLocal(Vector2f vec) { |
|
if (null == vec) { |
|
return null; |
|
} |
|
x *= vec.x; |
|
y *= vec.y; |
|
return this; |
|
} |
|
|
|
/** |
|
* Multiplies this Vector2f's x and y by the scalar and stores the result in |
|
* product. The result is returned for chaining. Similar to |
|
* product=this*scalar; |
|
* |
|
* @param scalar The scalar to multiply by. |
|
* @param product The vector2f to store the result in. |
|
* @return product, after multiplication. |
|
*/ |
|
public Vector2f mult(float scalar, Vector2f product) { |
|
if (null == product) { |
|
product = new Vector2f(); |
|
} |
|
|
|
product.x = x * scalar; |
|
product.y = y * scalar; |
|
return product; |
|
} |
|
|
|
/** |
|
* <code>divide</code> divides the values of this vector by a scalar and |
|
* returns the result. The values of this vector remain untouched. |
|
* |
|
* @param scalar the value to divide this vectors attributes by. |
|
* @return the result <code>Vector</code>. |
|
*/ |
|
public Vector2f divide(float scalar) { |
|
return new Vector2f(x / scalar, y / scalar); |
|
} |
|
|
|
/** |
|
* <code>divideLocal</code> divides this vector by a scalar internally, and |
|
* returns a handle to this vector for easy chaining of calls. Dividing by |
|
* zero will result in an exception. |
|
* |
|
* @param scalar the value to divides this vector by. |
|
* @return this |
|
*/ |
|
public Vector2f divideLocal(float scalar) { |
|
x /= scalar; |
|
y /= scalar; |
|
return this; |
|
} |
|
|
|
/** |
|
* <code>negate</code> returns the negative of this vector. All values are |
|
* negated and set to a new vector. |
|
* |
|
* @return the negated vector. |
|
*/ |
|
public Vector2f negate() { |
|
return new Vector2f(-x, -y); |
|
} |
|
|
|
/** |
|
* <code>negateLocal</code> negates the internal values of this vector. |
|
* |
|
* @return this. |
|
*/ |
|
public Vector2f negateLocal() { |
|
x = -x; |
|
y = -y; |
|
return this; |
|
} |
|
|
|
/** |
|
* <code>subtract</code> subtracts the values of a given vector from those |
|
* of this vector creating a new vector object. If the provided vector is |
|
* null, an exception is thrown. |
|
* |
|
* @param vec the vector to subtract from this vector. |
|
* @return the result vector. |
|
*/ |
|
public Vector2f subtract(Vector2f vec) { |
|
return subtract(vec, null); |
|
} |
|
|
|
/** |
|
* <code>subtract</code> subtracts the values of a given vector from those |
|
* of this vector storing the result in the given vector object. If the |
|
* provided vector is null, an exception is thrown. |
|
* |
|
* @param vec the vector to subtract from this vector. |
|
* @param store the vector to store the result in. It is safe for this to be |
|
* the same as vec. If null, a new vector is created. |
|
* @return the result vector. |
|
*/ |
|
public Vector2f subtract(Vector2f vec, Vector2f store) { |
|
if (store == null) |
|
store = new Vector2f(); |
|
store.x = x - vec.x; |
|
store.y = y - vec.y; |
|
return store; |
|
} |
|
|
|
/** |
|
* <code>subtract</code> subtracts the given x,y values from those of this |
|
* vector creating a new vector object. |
|
* |
|
* @param valX value to subtract from x |
|
* @param valY value to subtract from y |
|
* @return this |
|
*/ |
|
public Vector2f subtract(float valX, float valY) { |
|
return new Vector2f(x - valX, y - valY); |
|
} |
|
|
|
/** |
|
* <code>subtractLocal</code> subtracts a provided vector to this vector |
|
* internally, and returns a handle to this vector for easy chaining of |
|
* calls. If the provided vector is null, null is returned. |
|
* |
|
* @param vec the vector to subtract |
|
* @return this |
|
*/ |
|
public Vector2f subtractLocal(Vector2f vec) { |
|
if (null == vec) { |
|
return null; |
|
} |
|
x -= vec.x; |
|
y -= vec.y; |
|
return this; |
|
} |
|
|
|
/** |
|
* <code>subtractLocal</code> subtracts the provided values from this vector |
|
* internally, and returns a handle to this vector for easy chaining of |
|
* calls. |
|
* |
|
* @param valX value to subtract from x |
|
* @param valY value to subtract from y |
|
* @return this |
|
*/ |
|
public Vector2f subtractLocal(float valX, float valY) { |
|
x -= valX; |
|
y -= valY; |
|
return this; |
|
} |
|
|
|
/** |
|
* <code>normalize</code> returns the unit vector of this vector. |
|
* |
|
* @return unit vector of this vector. |
|
*/ |
|
public Vector2f normalize() { |
|
float length = length(); |
|
if (length != 0) { |
|
return divide(length); |
|
} |
|
|
|
return divide(1); |
|
} |
|
|
|
/** |
|
* <code>normalizeLocal</code> makes this vector into a unit vector of |
|
* itself. |
|
* |
|
* @return this. |
|
*/ |
|
public Vector2f normalizeLocal() { |
|
float length = length(); |
|
if (length != 0) { |
|
return divideLocal(length); |
|
} |
|
|
|
return divideLocal(1); |
|
} |
|
|
|
/** |
|
* <code>smallestAngleBetween</code> returns (in radians) the minimum angle |
|
* between two vectors. It is assumed that both this vector and the given |
|
* vector are unit vectors (iow, normalized). |
|
* |
|
* @param otherVector a unit vector to find the angle against |
|
* @return the angle in radians. |
|
*/ |
|
public float smallestAngleBetween(Vector2f otherVector) { |
|
float dotProduct = dot(otherVector); |
|
return FastMath.acos(dotProduct); |
|
} |
|
|
|
/** |
|
* <code>angleBetween</code> returns (in radians) the angle required to |
|
* rotate a ray represented by this vector to lie colinear to a ray |
|
* described by the given vector. It is assumed that both this vector and |
|
* the given vector are unit vectors (iow, normalized). |
|
* |
|
* @param otherVector the "destination" unit vector |
|
* @return the angle in radians. |
|
*/ |
|
public float angleBetween(Vector2f otherVector) { |
|
return FastMath.atan2(otherVector.y, otherVector.x) |
|
- FastMath.atan2(y, x); |
|
} |
|
|
|
public float getX() { |
|
return x; |
|
} |
|
|
|
public void setX(float x) { |
|
this.x = x; |
|
} |
|
|
|
public float getY() { |
|
return y; |
|
} |
|
|
|
public void setY(float y) { |
|
this.y = y; |
|
} |
|
|
|
/** |
|
* <code>getAngle</code> returns (in radians) the angle represented by this |
|
* Vector2f as expressed by a conversion from rectangular coordinates ( |
|
* <code>x</code>, <code>y</code>) to polar coordinates |
|
* (r, <i>theta</i>). |
|
* |
|
* @return the angle in radians. [-pi, pi) |
|
*/ |
|
public float getAngle() { |
|
return -FastMath.atan2(y, x); |
|
} |
|
|
|
/** |
|
* <code>zero</code> resets this vector's data to zero internally. |
|
*/ |
|
public void zero() { |
|
x = y = 0; |
|
} |
|
|
|
@Override |
|
public Vector2f clone() { |
|
try { |
|
return (Vector2f) super.clone(); |
|
} catch (CloneNotSupportedException e) { |
|
throw new AssertionError(); // can not happen |
|
} |
|
} |
|
|
|
/** |
|
* Saves this Vector2f into the given float[] object. |
|
* |
|
* @param floats The float[] to take this Vector2f. If null, a new float[2] is |
|
* created. |
|
* @return The array, with X, Y float values in that order |
|
*/ |
|
public float[] toArray(float[] floats) { |
|
if (floats == null) { |
|
floats = new float[2]; |
|
} |
|
floats[0] = x; |
|
floats[1] = y; |
|
return floats; |
|
} |
|
|
|
/** |
|
* are these two vectors the same? they are is they both have the same x and |
|
* y values. |
|
* |
|
* @param o the object to compare for equality |
|
* @return true if they are equal |
|
*/ |
|
@Override |
|
public boolean equals(Object o) { |
|
if (!(o instanceof Vector2f)) { |
|
return false; |
|
} |
|
|
|
if (this == o) { |
|
return true; |
|
} |
|
|
|
Vector2f comp = (Vector2f) o; |
|
if (Float.compare(x, comp.x) != 0) |
|
return false; |
|
return Float.compare(y, comp.y) == 0; |
|
} |
|
|
|
public void rotateAroundOrigin(float angle, boolean cw) { |
|
if (cw) |
|
angle = -angle; |
|
float newX = FastMath.cos(angle) * x - FastMath.sin(angle) * y; |
|
float newY = FastMath.sin(angle) * x + FastMath.cos(angle) * y; |
|
x = newX; |
|
y = newY; |
|
} |
|
|
|
public synchronized float getLat() { |
|
return x; |
|
} |
|
|
|
public synchronized void setLat(float lat) { |
|
this.x = lat; |
|
} |
|
|
|
public synchronized float getLong() { |
|
return y; |
|
} |
|
|
|
public synchronized void setLong(float lon) { |
|
this.y = lon; |
|
} |
|
|
|
}
|
|
|