Transform rectangle

This commit is contained in:
Sebastian 2023-08-11 16:49:59 +02:00
parent 43f6d9535e
commit 0383c43675
22 changed files with 3058 additions and 6 deletions

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@ -1,5 +1,6 @@
package core.engine;
import core.engine.entity.Entity;
import core.engine.model.RawModel;
import core.engine.model.TexturedModel;
import core.engine.shader.StaticShader;
@ -9,6 +10,7 @@ import org.lwjgl.glfw.GLFWErrorCallback;
import org.lwjgl.glfw.GLFWVidMode;
import org.lwjgl.opengl.GL;
import org.lwjgl.system.MemoryStack;
import utils.vectors.Vector3f;
import java.nio.IntBuffer;
@ -54,10 +56,10 @@ public class Engine {
// Configure GLFW
glfwDefaultWindowHints(); // optional, the current window hints are already the default
glfwWindowHint(GLFW_VISIBLE, GLFW_FALSE); // the window will stay hidden after creation
glfwWindowHint(GLFW_RESIZABLE, GLFW_TRUE); // the window will be resizable
glfwWindowHint(GLFW_RESIZABLE, GLFW_FALSE); // the window will be resizable
// Create the window
window = glfwCreateWindow(300, 300, "Hello World!", NULL, NULL);
window = glfwCreateWindow(1280, 720, "Hello World!", NULL, NULL);
if ( window == NULL )
throw new RuntimeException("Failed to create the GLFW window");
@ -127,12 +129,15 @@ public class Engine {
RawModel model = loader.loadToVAO(vertices,textureCoords, indices);
ModelTexture modelTexture = new ModelTexture(loader.loadTexture("test_texture"));
TexturedModel texturedModel = new TexturedModel(model, modelTexture);
Entity entity = new Entity(texturedModel, new Vector3f(-1,0,0), 0,0,0,1);
// Run the rendering loop until the user has attempted to close
// the window or has pressed the ESCAPE key.
while ( !glfwWindowShouldClose(window) ) {
entity.increasePosition(0.002f, 0,-0.0002f);
entity.increaseRotation(0,1,0);
renderer.prepare();
shader.start();
renderer.render(texturedModel);
renderer.render(entity, shader);
shader.stop();
glfwSwapBuffers(window); // swap the color buffers

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@ -1,11 +1,15 @@
package core.engine;
import core.engine.entity.Entity;
import core.engine.model.RawModel;
import core.engine.model.TexturedModel;
import core.engine.shader.StaticShader;
import org.lwjgl.opengl.GL11;
import org.lwjgl.opengl.GL13;
import org.lwjgl.opengl.GL20;
import org.lwjgl.opengl.GL30;
import utils.MatrixGraphicUtils;
import utils.vectors.Matrix4f;
import static org.lwjgl.opengl.GL11C.*;
@ -16,11 +20,15 @@ public class Renderer {
GL11.glClearColor(1,0,0,1);
}
public void render(TexturedModel texturedModel) {
public void render(Entity entity, StaticShader shader) {
TexturedModel texturedModel = entity.getModel();
RawModel rawModel = texturedModel.getRawModel();
GL30.glBindVertexArray(rawModel.getVaoID());
GL20.glEnableVertexAttribArray(0);
GL20.glEnableVertexAttribArray(1);
Matrix4f transformationMatrix = MatrixGraphicUtils.createTransformationMatrix(entity.getPosition(), entity.getRotX(),
entity.getRotY(), entity.getRotZ(), entity.getScale());
shader.loadTransformationMatrix(transformationMatrix);
GL13.glActiveTexture(GL13.GL_TEXTURE0);
GL11.glBindTexture(GL11.GL_TEXTURE_2D, texturedModel.getModelTexture().getTextureID());
GL11.glDrawElements(GL11.GL_TRIANGLES, rawModel.getVertexCount(), GL11.GL_UNSIGNED_INT, 0);

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@ -0,0 +1,81 @@
package core.engine.entity;
import core.engine.model.TexturedModel;
import utils.vectors.Vector3f;
public class Entity {
private TexturedModel model;
private Vector3f position;
private float rotX, rotY, rotZ;
private float scale;
public Entity(TexturedModel model, Vector3f position, float rotX, float rotY, float rotZ, float scale) {
this.model = model;
this.position = position;
this.rotX = rotX;
this.rotY = rotY;
this.rotZ = rotZ;
this.scale = scale;
}
public void increasePosition(float dx, float dy, float dz) {
position.x += dx;
position.y += dy;
position.z += dz;
}
public void increaseRotation(float dx, float dy, float dz) {
rotX += dx;
rotY += dy;
rotZ += dz;
}
public TexturedModel getModel() {
return model;
}
public void setModel(TexturedModel model) {
this.model = model;
}
public Vector3f getPosition() {
return position;
}
public void setPosition(Vector3f position) {
this.position = position;
}
public float getRotX() {
return rotX;
}
public void setRotX(float rotX) {
this.rotX = rotX;
}
public float getRotY() {
return rotY;
}
public void setRotY(float rotY) {
this.rotY = rotY;
}
public float getRotZ() {
return rotZ;
}
public void setRotZ(float rotZ) {
this.rotZ = rotZ;
}
public float getScale() {
return scale;
}
public void setScale(float scale) {
this.scale = scale;
}
}

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@ -1,12 +1,16 @@
package core.engine.shader;
import org.lwjgl.BufferUtils;
import org.lwjgl.opengl.GL11;
import org.lwjgl.opengl.GL20;
import utils.vectors.Matrix4f;
import utils.vectors.Vector3f;
import java.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.nio.FloatBuffer;
public abstract class ShaderProgram {
@ -14,15 +18,24 @@ public abstract class ShaderProgram {
private int vertexShaderID;
private int fragmentShaderID;
private static FloatBuffer matrixBuffer = BufferUtils.createFloatBuffer(16);
public ShaderProgram(String vertexFile, String fragmentFile) {
vertexShaderID = loadShader(vertexFile, GL20.GL_VERTEX_SHADER);
fragmentShaderID = loadShader(fragmentFile, GL20.GL_FRAGMENT_SHADER);
programID = GL20.glCreateProgram();
GL20.glAttachShader(programID, vertexShaderID);
GL20.glAttachShader(programID, fragmentShaderID);
bindAttributes();
GL20.glLinkProgram(programID);
GL20.glValidateProgram(programID);
bindAttributes();
getAllUniformLocations();
}
protected abstract void getAllUniformLocations();
protected int getUniformLocation(String uniformName) {
return GL20.glGetUniformLocation(programID, uniformName);
}
public void start() {
@ -48,6 +61,24 @@ public abstract class ShaderProgram {
GL20.glBindAttribLocation(programID, attribute, variableName);
}
protected void loadFloat(int location, float value) {
GL20.glUniform1f(location, value);
}
protected void loadVector(int location, Vector3f vector) {
GL20.glUniform3f(location, vector.x, vector.y, vector.z);
}
protected void loadBoolean(int location, boolean value) {
GL20.glUniform1f(location, value? 1: 0);
}
protected void loadMatrix(int location, Matrix4f matrix) {
matrix.store(matrixBuffer);
matrixBuffer.flip();
GL20.glUniformMatrix4fv(location,false, matrixBuffer);
}
private static int loadShader(String file, int type) {
StringBuilder shadersource = new StringBuilder();
try {

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@ -1,16 +1,29 @@
package core.engine.shader;
import utils.vectors.Matrix4f;
public class StaticShader extends ShaderProgram{
private static final String VERTEX_FILE = "src/main/java/core/engine/shader/vertexShader.glsl";
private static final String FRAGMENT_FILE = "src/main/java/core/engine/shader/fragmentShader.glsl";
private int location_transformationMatrix;
public StaticShader() {
super(VERTEX_FILE, FRAGMENT_FILE);
}
@Override
protected void getAllUniformLocations() {
this.location_transformationMatrix = super.getUniformLocation("transformationMatrix");
}
@Override
protected void bindAttributes() {
super.bindAttribute(0, "position");
super.bindAttribute(1, "textureCoords");
}
public void loadTransformationMatrix(Matrix4f matrix) {
super.loadMatrix(location_transformationMatrix, matrix);
}
}

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@ -3,9 +3,11 @@
in vec3 position;
in vec2 textureCoords;
uniform mat4 transformationMatrix;
out vec2 pass_textureCoords;
void main(void) {
gl_Position = vec4(position, 1.0);
gl_Position = transformationMatrix * vec4(position, 1.0);
pass_textureCoords = textureCoords;
}

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@ -0,0 +1,31 @@
package utils;
import utils.vectors.Matrix4f;
import utils.vectors.Vector3f;
public class MatrixGraphicUtils {
public static Matrix4f createTransformationMatrix(Vector3f translation, float rx, float ry,
float rz, float scale) {
Matrix4f matrix = new Matrix4f();
matrix.setIdentity();
Matrix4f.translate(translation, matrix, matrix);
Matrix4f.rotate((float) Math.toRadians(rx), new Vector3f(1,0,0), matrix, matrix);
Matrix4f.rotate((float) Math.toRadians(ry), new Vector3f(0,1,0), matrix, matrix);
Matrix4f.rotate((float) Math.toRadians(rz), new Vector3f(0,0,1), matrix, matrix);
Matrix4f.scale(new Vector3f(scale,scale,scale), matrix, matrix);
return matrix;
}
/*public static Matrix4f createViewMatrix(Camera camera) {
Matrix4f viewMatrix = new Matrix4f();
viewMatrix.setIdentity();
Matrix4f.rotate((float) Math.toRadians(camera.getPitch()), new Vector3f(1, 0, 0), viewMatrix,
viewMatrix);
Matrix4f.rotate((float) Math.toRadians(camera.getYaw()), new Vector3f(0, 1, 0), viewMatrix, viewMatrix);
Vector3f cameraPos = camera.getPosition();
Vector3f negativeCameraPos = new Vector3f(-cameraPos.x,-cameraPos.y,-cameraPos.z);
Matrix4f.translate(negativeCameraPos, viewMatrix, viewMatrix);
return viewMatrix;
}*/
}

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@ -0,0 +1,103 @@
package utils.vectors;
import java.io.Serializable;
import java.nio.FloatBuffer;
/**
*
* Base class for matrices. When a matrix is constructed it will be the identity
* matrix unless otherwise stated.
*
* @author cix_foo <cix_foo@users.sourceforge.net>
* @version $Revision$
* $Id$
*/
public abstract class Matrix implements Serializable {
/**
* Constructor for Matrix.
*/
protected Matrix() {
super();
}
/**
* Set this matrix to be the identity matrix.
* @return this
*/
public abstract Matrix setIdentity();
/**
* Invert this matrix
* @return this
*/
public abstract Matrix invert();
/**
* Load from a float buffer. The buffer stores the matrix in column major
* (OpenGL) order.
*
* @param buf A float buffer to read from
* @return this
*/
public abstract Matrix load(FloatBuffer buf);
/**
* Load from a float buffer. The buffer stores the matrix in row major
* (mathematical) order.
*
* @param buf A float buffer to read from
* @return this
*/
public abstract Matrix loadTranspose(FloatBuffer buf);
/**
* Negate this matrix
* @return this
*/
public abstract Matrix negate();
/**
* Store this matrix in a float buffer. The matrix is stored in column
* major (openGL) order.
* @param buf The buffer to store this matrix in
* @return this
*/
public abstract Matrix store(FloatBuffer buf);
/**
* Store this matrix in a float buffer. The matrix is stored in row
* major (maths) order.
* @param buf The buffer to store this matrix in
* @return this
*/
public abstract Matrix storeTranspose(FloatBuffer buf);
/**
* Transpose this matrix
* @return this
*/
public abstract Matrix transpose();
/**
* Set this matrix to 0.
* @return this
*/
public abstract Matrix setZero();
/**
* @return the determinant of the matrix
*/
public abstract float determinant();
}

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@ -0,0 +1,370 @@
package utils.vectors;
import java.io.Serializable;
import java.nio.FloatBuffer;
/**
*
* Holds a 2x2 matrix
*
* @author cix_foo <cix_foo@users.sourceforge.net>
* @version $Revision$
* $Id$
*/
public class Matrix2f extends Matrix implements Serializable {
private static final long serialVersionUID = 1L;
public float m00, m01, m10, m11;
/**
* Constructor for Matrix2f. The matrix is initialised to the identity.
*/
public Matrix2f() {
setIdentity();
}
/**
* Constructor
*/
public Matrix2f(Matrix2f src) {
load(src);
}
/**
* Load from another matrix
* @param src The source matrix
* @return this
*/
public Matrix2f load(Matrix2f src) {
return load(src, this);
}
/**
* Copy the source matrix to the destination matrix.
* @param src The source matrix
* @param dest The destination matrix, or null if a new one should be created.
* @return The copied matrix
*/
public static Matrix2f load(Matrix2f src, Matrix2f dest) {
if (dest == null)
dest = new Matrix2f();
dest.m00 = src.m00;
dest.m01 = src.m01;
dest.m10 = src.m10;
dest.m11 = src.m11;
return dest;
}
/**
* Load from a float buffer. The buffer stores the matrix in column major
* (OpenGL) order.
*
* @param buf A float buffer to read from
* @return this
*/
public Matrix load(FloatBuffer buf) {
m00 = buf.get();
m01 = buf.get();
m10 = buf.get();
m11 = buf.get();
return this;
}
/**
* Load from a float buffer. The buffer stores the matrix in row major
* (mathematical) order.
*
* @param buf A float buffer to read from
* @return this
*/
public Matrix loadTranspose(FloatBuffer buf) {
m00 = buf.get();
m10 = buf.get();
m01 = buf.get();
m11 = buf.get();
return this;
}
/**
* Store this matrix in a float buffer. The matrix is stored in column
* major (openGL) order.
* @param buf The buffer to store this matrix in
*/
public Matrix store(FloatBuffer buf) {
buf.put(m00);
buf.put(m01);
buf.put(m10);
buf.put(m11);
return this;
}
/**
* Store this matrix in a float buffer. The matrix is stored in row
* major (maths) order.
* @param buf The buffer to store this matrix in
*/
public Matrix storeTranspose(FloatBuffer buf) {
buf.put(m00);
buf.put(m10);
buf.put(m01);
buf.put(m11);
return this;
}
/**
* Add two matrices together and place the result in a third matrix.
* @param left The left source matrix
* @param right The right source matrix
* @param dest The destination matrix, or null if a new one is to be created
* @return the destination matrix
*/
public static Matrix2f add(Matrix2f left, Matrix2f right, Matrix2f dest) {
if (dest == null)
dest = new Matrix2f();
dest.m00 = left.m00 + right.m00;
dest.m01 = left.m01 + right.m01;
dest.m10 = left.m10 + right.m10;
dest.m11 = left.m11 + right.m11;
return dest;
}
/**
* Subtract the right matrix from the left and place the result in a third matrix.
* @param left The left source matrix
* @param right The right source matrix
* @param dest The destination matrix, or null if a new one is to be created
* @return the destination matrix
*/
public static Matrix2f sub(Matrix2f left, Matrix2f right, Matrix2f dest) {
if (dest == null)
dest = new Matrix2f();
dest.m00 = left.m00 - right.m00;
dest.m01 = left.m01 - right.m01;
dest.m10 = left.m10 - right.m10;
dest.m11 = left.m11 - right.m11;
return dest;
}
/**
* Multiply the right matrix by the left and place the result in a third matrix.
* @param left The left source matrix
* @param right The right source matrix
* @param dest The destination matrix, or null if a new one is to be created
* @return the destination matrix
*/
public static Matrix2f mul(Matrix2f left, Matrix2f right, Matrix2f dest) {
if (dest == null)
dest = new Matrix2f();
float m00 = left.m00 * right.m00 + left.m10 * right.m01;
float m01 = left.m01 * right.m00 + left.m11 * right.m01;
float m10 = left.m00 * right.m10 + left.m10 * right.m11;
float m11 = left.m01 * right.m10 + left.m11 * right.m11;
dest.m00 = m00;
dest.m01 = m01;
dest.m10 = m10;
dest.m11 = m11;
return dest;
}
/**
* Transform a Vector by a matrix and return the result in a destination
* vector.
* @param left The left matrix
* @param right The right vector
* @param dest The destination vector, or null if a new one is to be created
* @return the destination vector
*/
public static Vector2f transform(Matrix2f left, Vector2f right, Vector2f dest) {
if (dest == null)
dest = new Vector2f();
float x = left.m00 * right.x + left.m10 * right.y;
float y = left.m01 * right.x + left.m11 * right.y;
dest.x = x;
dest.y = y;
return dest;
}
/**
* Transpose this matrix
* @return this
*/
public Matrix transpose() {
return transpose(this);
}
/**
* Transpose this matrix and place the result in another matrix.
* @param dest The destination matrix or null if a new matrix is to be created
* @return the transposed matrix
*/
public Matrix2f transpose(Matrix2f dest) {
return transpose(this, dest);
}
/**
* Transpose the source matrix and place the result in the destination matrix.
* @param src The source matrix or null if a new matrix is to be created
* @param dest The destination matrix or null if a new matrix is to be created
* @return the transposed matrix
*/
public static Matrix2f transpose(Matrix2f src, Matrix2f dest) {
if (dest == null)
dest = new Matrix2f();
float m01 = src.m10;
float m10 = src.m01;
dest.m01 = m01;
dest.m10 = m10;
return dest;
}
/**
* Invert this matrix
* @return this if successful, null otherwise
*/
public Matrix invert() {
return invert(this, this);
}
/**
* Invert the source matrix and place the result in the destination matrix.
* @param src The source matrix to be inverted
* @param dest The destination matrix or null if a new matrix is to be created
* @return The inverted matrix, or null if source can't be reverted.
*/
public static Matrix2f invert(Matrix2f src, Matrix2f dest) {
/*
*inv(A) = 1/det(A) * adj(A);
*/
float determinant = src.determinant();
if (determinant != 0) {
if (dest == null)
dest = new Matrix2f();
float determinant_inv = 1f/determinant;
float t00 = src.m11*determinant_inv;
float t01 = -src.m01*determinant_inv;
float t11 = src.m00*determinant_inv;
float t10 = -src.m10*determinant_inv;
dest.m00 = t00;
dest.m01 = t01;
dest.m10 = t10;
dest.m11 = t11;
return dest;
} else
return null;
}
/**
* Returns a string representation of this matrix
*/
public String toString() {
StringBuilder buf = new StringBuilder();
buf.append(m00).append(' ').append(m10).append(' ').append('\n');
buf.append(m01).append(' ').append(m11).append(' ').append('\n');
return buf.toString();
}
/**
* Negate this matrix
* @return this
*/
public Matrix negate() {
return negate(this);
}
/**
* Negate this matrix and stash the result in another matrix.
* @param dest The destination matrix, or null if a new matrix is to be created
* @return the negated matrix
*/
public Matrix2f negate(Matrix2f dest) {
return negate(this, dest);
}
/**
* Negate the source matrix and stash the result in the destination matrix.
* @param src The source matrix to be negated
* @param dest The destination matrix, or null if a new matrix is to be created
* @return the negated matrix
*/
public static Matrix2f negate(Matrix2f src, Matrix2f dest) {
if (dest == null)
dest = new Matrix2f();
dest.m00 = -src.m00;
dest.m01 = -src.m01;
dest.m10 = -src.m10;
dest.m11 = -src.m11;
return dest;
}
/**
* Set this matrix to be the identity matrix.
* @return this
*/
public Matrix setIdentity() {
return setIdentity(this);
}
/**
* Set the source matrix to be the identity matrix.
* @param src The matrix to set to the identity.
* @return The source matrix
*/
public static Matrix2f setIdentity(Matrix2f src) {
src.m00 = 1.0f;
src.m01 = 0.0f;
src.m10 = 0.0f;
src.m11 = 1.0f;
return src;
}
/**
* Set this matrix to 0.
* @return this
*/
public Matrix setZero() {
return setZero(this);
}
public static Matrix2f setZero(Matrix2f src) {
src.m00 = 0.0f;
src.m01 = 0.0f;
src.m10 = 0.0f;
src.m11 = 0.0f;
return src;
}
/* (non-Javadoc)
* @see org.lwjgl.vector.Matrix#determinant()
*/
public float determinant() {
return m00 * m11 - m01*m10;
}
}

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@ -0,0 +1,480 @@
package utils.vectors;
import java.io.Serializable;
import java.nio.FloatBuffer;
/**
*
* Holds a 3x3 matrix.
*
* @author cix_foo <cix_foo@users.sourceforge.net>
* @version $Revision$
* $Id$
*/
public class Matrix3f extends Matrix implements Serializable {
private static final long serialVersionUID = 1L;
public float m00,
m01,
m02,
m10,
m11,
m12,
m20,
m21,
m22;
/**
* Constructor for Matrix3f. Matrix is initialised to the identity.
*/
public Matrix3f() {
super();
setIdentity();
}
/**
* Load from another matrix
* @param src The source matrix
* @return this
*/
public Matrix3f load(Matrix3f src) {
return load(src, this);
}
/**
* Copy source matrix to destination matrix
* @param src The source matrix
* @param dest The destination matrix, or null of a new matrix is to be created
* @return The copied matrix
*/
public static Matrix3f load(Matrix3f src, Matrix3f dest) {
if (dest == null)
dest = new Matrix3f();
dest.m00 = src.m00;
dest.m10 = src.m10;
dest.m20 = src.m20;
dest.m01 = src.m01;
dest.m11 = src.m11;
dest.m21 = src.m21;
dest.m02 = src.m02;
dest.m12 = src.m12;
dest.m22 = src.m22;
return dest;
}
/**
* Load from a float buffer. The buffer stores the matrix in column major
* (OpenGL) order.
*
* @param buf A float buffer to read from
* @return this
*/
public Matrix load(FloatBuffer buf) {
m00 = buf.get();
m01 = buf.get();
m02 = buf.get();
m10 = buf.get();
m11 = buf.get();
m12 = buf.get();
m20 = buf.get();
m21 = buf.get();
m22 = buf.get();
return this;
}
/**
* Load from a float buffer. The buffer stores the matrix in row major
* (maths) order.
*
* @param buf A float buffer to read from
* @return this
*/
public Matrix loadTranspose(FloatBuffer buf) {
m00 = buf.get();
m10 = buf.get();
m20 = buf.get();
m01 = buf.get();
m11 = buf.get();
m21 = buf.get();
m02 = buf.get();
m12 = buf.get();
m22 = buf.get();
return this;
}
/**
* Store this matrix in a float buffer. The matrix is stored in column
* major (openGL) order.
* @param buf The buffer to store this matrix in
*/
public Matrix store(FloatBuffer buf) {
buf.put(m00);
buf.put(m01);
buf.put(m02);
buf.put(m10);
buf.put(m11);
buf.put(m12);
buf.put(m20);
buf.put(m21);
buf.put(m22);
return this;
}
/**
* Store this matrix in a float buffer. The matrix is stored in row
* major (maths) order.
* @param buf The buffer to store this matrix in
*/
public Matrix storeTranspose(FloatBuffer buf) {
buf.put(m00);
buf.put(m10);
buf.put(m20);
buf.put(m01);
buf.put(m11);
buf.put(m21);
buf.put(m02);
buf.put(m12);
buf.put(m22);
return this;
}
/**
* Add two matrices together and place the result in a third matrix.
* @param left The left source matrix
* @param right The right source matrix
* @param dest The destination matrix, or null if a new one is to be created
* @return the destination matrix
*/
public static Matrix3f add(Matrix3f left, Matrix3f right, Matrix3f dest) {
if (dest == null)
dest = new Matrix3f();
dest.m00 = left.m00 + right.m00;
dest.m01 = left.m01 + right.m01;
dest.m02 = left.m02 + right.m02;
dest.m10 = left.m10 + right.m10;
dest.m11 = left.m11 + right.m11;
dest.m12 = left.m12 + right.m12;
dest.m20 = left.m20 + right.m20;
dest.m21 = left.m21 + right.m21;
dest.m22 = left.m22 + right.m22;
return dest;
}
/**
* Subtract the right matrix from the left and place the result in a third matrix.
* @param left The left source matrix
* @param right The right source matrix
* @param dest The destination matrix, or null if a new one is to be created
* @return the destination matrix
*/
public static Matrix3f sub(Matrix3f left, Matrix3f right, Matrix3f dest) {
if (dest == null)
dest = new Matrix3f();
dest.m00 = left.m00 - right.m00;
dest.m01 = left.m01 - right.m01;
dest.m02 = left.m02 - right.m02;
dest.m10 = left.m10 - right.m10;
dest.m11 = left.m11 - right.m11;
dest.m12 = left.m12 - right.m12;
dest.m20 = left.m20 - right.m20;
dest.m21 = left.m21 - right.m21;
dest.m22 = left.m22 - right.m22;
return dest;
}
/**
* Multiply the right matrix by the left and place the result in a third matrix.
* @param left The left source matrix
* @param right The right source matrix
* @param dest The destination matrix, or null if a new one is to be created
* @return the destination matrix
*/
public static Matrix3f mul(Matrix3f left, Matrix3f right, Matrix3f dest) {
if (dest == null)
dest = new Matrix3f();
float m00 =
left.m00 * right.m00 + left.m10 * right.m01 + left.m20 * right.m02;
float m01 =
left.m01 * right.m00 + left.m11 * right.m01 + left.m21 * right.m02;
float m02 =
left.m02 * right.m00 + left.m12 * right.m01 + left.m22 * right.m02;
float m10 =
left.m00 * right.m10 + left.m10 * right.m11 + left.m20 * right.m12;
float m11 =
left.m01 * right.m10 + left.m11 * right.m11 + left.m21 * right.m12;
float m12 =
left.m02 * right.m10 + left.m12 * right.m11 + left.m22 * right.m12;
float m20 =
left.m00 * right.m20 + left.m10 * right.m21 + left.m20 * right.m22;
float m21 =
left.m01 * right.m20 + left.m11 * right.m21 + left.m21 * right.m22;
float m22 =
left.m02 * right.m20 + left.m12 * right.m21 + left.m22 * right.m22;
dest.m00 = m00;
dest.m01 = m01;
dest.m02 = m02;
dest.m10 = m10;
dest.m11 = m11;
dest.m12 = m12;
dest.m20 = m20;
dest.m21 = m21;
dest.m22 = m22;
return dest;
}
/**
* Transform a Vector by a matrix and return the result in a destination
* vector.
* @param left The left matrix
* @param right The right vector
* @param dest The destination vector, or null if a new one is to be created
* @return the destination vector
*/
public static Vector3f transform(Matrix3f left, Vector3f right, Vector3f dest) {
if (dest == null)
dest = new Vector3f();
float x = left.m00 * right.x + left.m10 * right.y + left.m20 * right.z;
float y = left.m01 * right.x + left.m11 * right.y + left.m21 * right.z;
float z = left.m02 * right.x + left.m12 * right.y + left.m22 * right.z;
dest.x = x;
dest.y = y;
dest.z = z;
return dest;
}
/**
* Transpose this matrix
* @return this
*/
public Matrix transpose() {
return transpose(this, this);
}
/**
* Transpose this matrix and place the result in another matrix
* @param dest The destination matrix or null if a new matrix is to be created
* @return the transposed matrix
*/
public Matrix3f transpose(Matrix3f dest) {
return transpose(this, dest);
}
/**
* Transpose the source matrix and place the result into the destination matrix
* @param src The source matrix to be transposed
* @param dest The destination matrix or null if a new matrix is to be created
* @return the transposed matrix
*/
public static Matrix3f transpose(Matrix3f src, Matrix3f dest) {
if (dest == null)
dest = new Matrix3f();
float m00 = src.m00;
float m01 = src.m10;
float m02 = src.m20;
float m10 = src.m01;
float m11 = src.m11;
float m12 = src.m21;
float m20 = src.m02;
float m21 = src.m12;
float m22 = src.m22;
dest.m00 = m00;
dest.m01 = m01;
dest.m02 = m02;
dest.m10 = m10;
dest.m11 = m11;
dest.m12 = m12;
dest.m20 = m20;
dest.m21 = m21;
dest.m22 = m22;
return dest;
}
/**
* @return the determinant of the matrix
*/
public float determinant() {
float f =
m00 * (m11 * m22 - m12 * m21)
+ m01 * (m12 * m20 - m10 * m22)
+ m02 * (m10 * m21 - m11 * m20);
return f;
}
/**
* Returns a string representation of this matrix
*/
public String toString() {
StringBuilder buf = new StringBuilder();
buf.append(m00).append(' ').append(m10).append(' ').append(m20).append(' ').append('\n');
buf.append(m01).append(' ').append(m11).append(' ').append(m21).append(' ').append('\n');
buf.append(m02).append(' ').append(m12).append(' ').append(m22).append(' ').append('\n');
return buf.toString();
}
/**
* Invert this matrix
* @return this if successful, null otherwise
*/
public Matrix invert() {
return invert(this, this);
}
/**
* Invert the source matrix and put the result into the destination matrix
* @param src The source matrix to be inverted
* @param dest The destination matrix, or null if a new one is to be created
* @return The inverted matrix if successful, null otherwise
*/
public static Matrix3f invert(Matrix3f src, Matrix3f dest) {
float determinant = src.determinant();
if (determinant != 0) {
if (dest == null)
dest = new Matrix3f();
/* do it the ordinary way
*
* inv(A) = 1/det(A) * adj(T), where adj(T) = transpose(Conjugate Matrix)
*
* m00 m01 m02
* m10 m11 m12
* m20 m21 m22
*/
float determinant_inv = 1f/determinant;
// get the conjugate matrix
float t00 = src.m11 * src.m22 - src.m12* src.m21;
float t01 = - src.m10 * src.m22 + src.m12 * src.m20;
float t02 = src.m10 * src.m21 - src.m11 * src.m20;
float t10 = - src.m01 * src.m22 + src.m02 * src.m21;
float t11 = src.m00 * src.m22 - src.m02 * src.m20;
float t12 = - src.m00 * src.m21 + src.m01 * src.m20;
float t20 = src.m01 * src.m12 - src.m02 * src.m11;
float t21 = -src.m00 * src.m12 + src.m02 * src.m10;
float t22 = src.m00 * src.m11 - src.m01 * src.m10;
dest.m00 = t00*determinant_inv;
dest.m11 = t11*determinant_inv;
dest.m22 = t22*determinant_inv;
dest.m01 = t10*determinant_inv;
dest.m10 = t01*determinant_inv;
dest.m20 = t02*determinant_inv;
dest.m02 = t20*determinant_inv;
dest.m12 = t21*determinant_inv;
dest.m21 = t12*determinant_inv;
return dest;
} else
return null;
}
/**
* Negate this matrix
* @return this
*/
public Matrix negate() {
return negate(this);
}
/**
* Negate this matrix and place the result in a destination matrix.
* @param dest The destination matrix, or null if a new matrix is to be created
* @return the negated matrix
*/
public Matrix3f negate(Matrix3f dest) {
return negate(this, dest);
}
/**
* Negate the source matrix and place the result in the destination matrix.
* @param src The source matrix
* @param dest The destination matrix, or null if a new matrix is to be created
* @return the negated matrix
*/
public static Matrix3f negate(Matrix3f src, Matrix3f dest) {
if (dest == null)
dest = new Matrix3f();
dest.m00 = -src.m00;
dest.m01 = -src.m02;
dest.m02 = -src.m01;
dest.m10 = -src.m10;
dest.m11 = -src.m12;
dest.m12 = -src.m11;
dest.m20 = -src.m20;
dest.m21 = -src.m22;
dest.m22 = -src.m21;
return dest;
}
/**
* Set this matrix to be the identity matrix.
* @return this
*/
public Matrix setIdentity() {
return setIdentity(this);
}
/**
* Set the matrix to be the identity matrix.
* @param m The matrix to be set to the identity
* @return m
*/
public static Matrix3f setIdentity(Matrix3f m) {
m.m00 = 1.0f;
m.m01 = 0.0f;
m.m02 = 0.0f;
m.m10 = 0.0f;
m.m11 = 1.0f;
m.m12 = 0.0f;
m.m20 = 0.0f;
m.m21 = 0.0f;
m.m22 = 1.0f;
return m;
}
/**
* Set this matrix to 0.
* @return this
*/
public Matrix setZero() {
return setZero(this);
}
/**
* Set the matrix matrix to 0.
* @param m The matrix to be set to 0
* @return m
*/
public static Matrix3f setZero(Matrix3f m) {
m.m00 = 0.0f;
m.m01 = 0.0f;
m.m02 = 0.0f;
m.m10 = 0.0f;
m.m11 = 0.0f;
m.m12 = 0.0f;
m.m20 = 0.0f;
m.m21 = 0.0f;
m.m22 = 0.0f;
return m;
}
}

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@ -0,0 +1,819 @@
package utils.vectors;
import java.io.Serializable;
import java.nio.FloatBuffer;
/**
* Holds a 4x4 float matrix.
*
* @author foo
*/
public class Matrix4f extends Matrix implements Serializable {
private static final long serialVersionUID = 1L;
public float m00, m01, m02, m03, m10, m11, m12, m13, m20, m21, m22, m23, m30, m31, m32, m33;
/**
* Construct a new matrix, initialized to the identity.
*/
public Matrix4f() {
super();
setIdentity();
}
public Matrix4f(final Matrix4f src) {
super();
load(src);
}
/**
* Returns a string representation of this matrix
*/
public String toString() {
StringBuilder buf = new StringBuilder();
buf.append(m00).append(' ').append(m10).append(' ').append(m20).append(' ').append(m30).append('\n');
buf.append(m01).append(' ').append(m11).append(' ').append(m21).append(' ').append(m31).append('\n');
buf.append(m02).append(' ').append(m12).append(' ').append(m22).append(' ').append(m32).append('\n');
buf.append(m03).append(' ').append(m13).append(' ').append(m23).append(' ').append(m33).append('\n');
return buf.toString();
}
/**
* Set this matrix to be the identity matrix.
* @return this
*/
public Matrix setIdentity() {
return setIdentity(this);
}
/**
* Set the given matrix to be the identity matrix.
* @param m The matrix to set to the identity
* @return m
*/
public static Matrix4f setIdentity(Matrix4f m) {
m.m00 = 1.0f;
m.m01 = 0.0f;
m.m02 = 0.0f;
m.m03 = 0.0f;
m.m10 = 0.0f;
m.m11 = 1.0f;
m.m12 = 0.0f;
m.m13 = 0.0f;
m.m20 = 0.0f;
m.m21 = 0.0f;
m.m22 = 1.0f;
m.m23 = 0.0f;
m.m30 = 0.0f;
m.m31 = 0.0f;
m.m32 = 0.0f;
m.m33 = 1.0f;
return m;
}
/**
* Set this matrix to 0.
* @return this
*/
public Matrix setZero() {
return setZero(this);
}
/**
* Set the given matrix to 0.
* @param m The matrix to set to 0
* @return m
*/
public static Matrix4f setZero(Matrix4f m) {
m.m00 = 0.0f;
m.m01 = 0.0f;
m.m02 = 0.0f;
m.m03 = 0.0f;
m.m10 = 0.0f;
m.m11 = 0.0f;
m.m12 = 0.0f;
m.m13 = 0.0f;
m.m20 = 0.0f;
m.m21 = 0.0f;
m.m22 = 0.0f;
m.m23 = 0.0f;
m.m30 = 0.0f;
m.m31 = 0.0f;
m.m32 = 0.0f;
m.m33 = 0.0f;
return m;
}
/**
* Load from another matrix4f
* @param src The source matrix
* @return this
*/
public Matrix4f load(Matrix4f src) {
return load(src, this);
}
/**
* Copy the source matrix to the destination matrix
* @param src The source matrix
* @param dest The destination matrix, or null of a new one is to be created
* @return The copied matrix
*/
public static Matrix4f load(Matrix4f src, Matrix4f dest) {
if (dest == null)
dest = new Matrix4f();
dest.m00 = src.m00;
dest.m01 = src.m01;
dest.m02 = src.m02;
dest.m03 = src.m03;
dest.m10 = src.m10;
dest.m11 = src.m11;
dest.m12 = src.m12;
dest.m13 = src.m13;
dest.m20 = src.m20;
dest.m21 = src.m21;
dest.m22 = src.m22;
dest.m23 = src.m23;
dest.m30 = src.m30;
dest.m31 = src.m31;
dest.m32 = src.m32;
dest.m33 = src.m33;
return dest;
}
/**
* Load from a float buffer. The buffer stores the matrix in column major
* (OpenGL) order.
*
* @param buf A float buffer to read from
* @return this
*/
public Matrix load(FloatBuffer buf) {
m00 = buf.get();
m01 = buf.get();
m02 = buf.get();
m03 = buf.get();
m10 = buf.get();
m11 = buf.get();
m12 = buf.get();
m13 = buf.get();
m20 = buf.get();
m21 = buf.get();
m22 = buf.get();
m23 = buf.get();
m30 = buf.get();
m31 = buf.get();
m32 = buf.get();
m33 = buf.get();
return this;
}
/**
* Load from a float buffer. The buffer stores the matrix in row major
* (maths) order.
*
* @param buf A float buffer to read from
* @return this
*/
public Matrix loadTranspose(FloatBuffer buf) {
m00 = buf.get();
m10 = buf.get();
m20 = buf.get();
m30 = buf.get();
m01 = buf.get();
m11 = buf.get();
m21 = buf.get();
m31 = buf.get();
m02 = buf.get();
m12 = buf.get();
m22 = buf.get();
m32 = buf.get();
m03 = buf.get();
m13 = buf.get();
m23 = buf.get();
m33 = buf.get();
return this;
}
/**
* Store this matrix in a float buffer. The matrix is stored in column
* major (openGL) order.
* @param buf The buffer to store this matrix in
*/
public Matrix store(FloatBuffer buf) {
buf.put(m00);
buf.put(m01);
buf.put(m02);
buf.put(m03);
buf.put(m10);
buf.put(m11);
buf.put(m12);
buf.put(m13);
buf.put(m20);
buf.put(m21);
buf.put(m22);
buf.put(m23);
buf.put(m30);
buf.put(m31);
buf.put(m32);
buf.put(m33);
return this;
}
/**
* Store this matrix in a float buffer. The matrix is stored in row
* major (maths) order.
* @param buf The buffer to store this matrix in
*/
public Matrix storeTranspose(FloatBuffer buf) {
buf.put(m00);
buf.put(m10);
buf.put(m20);
buf.put(m30);
buf.put(m01);
buf.put(m11);
buf.put(m21);
buf.put(m31);
buf.put(m02);
buf.put(m12);
buf.put(m22);
buf.put(m32);
buf.put(m03);
buf.put(m13);
buf.put(m23);
buf.put(m33);
return this;
}
/**
* Store the rotation portion of this matrix in a float buffer. The matrix is stored in column
* major (openGL) order.
* @param buf The buffer to store this matrix in
*/
public Matrix store3f(FloatBuffer buf) {
buf.put(m00);
buf.put(m01);
buf.put(m02);
buf.put(m10);
buf.put(m11);
buf.put(m12);
buf.put(m20);
buf.put(m21);
buf.put(m22);
return this;
}
/**
* Add two matrices together and place the result in a third matrix.
* @param left The left source matrix
* @param right The right source matrix
* @param dest The destination matrix, or null if a new one is to be created
* @return the destination matrix
*/
public static Matrix4f add(Matrix4f left, Matrix4f right, Matrix4f dest) {
if (dest == null)
dest = new Matrix4f();
dest.m00 = left.m00 + right.m00;
dest.m01 = left.m01 + right.m01;
dest.m02 = left.m02 + right.m02;
dest.m03 = left.m03 + right.m03;
dest.m10 = left.m10 + right.m10;
dest.m11 = left.m11 + right.m11;
dest.m12 = left.m12 + right.m12;
dest.m13 = left.m13 + right.m13;
dest.m20 = left.m20 + right.m20;
dest.m21 = left.m21 + right.m21;
dest.m22 = left.m22 + right.m22;
dest.m23 = left.m23 + right.m23;
dest.m30 = left.m30 + right.m30;
dest.m31 = left.m31 + right.m31;
dest.m32 = left.m32 + right.m32;
dest.m33 = left.m33 + right.m33;
return dest;
}
/**
* Subtract the right matrix from the left and place the result in a third matrix.
* @param left The left source matrix
* @param right The right source matrix
* @param dest The destination matrix, or null if a new one is to be created
* @return the destination matrix
*/
public static Matrix4f sub(Matrix4f left, Matrix4f right, Matrix4f dest) {
if (dest == null)
dest = new Matrix4f();
dest.m00 = left.m00 - right.m00;
dest.m01 = left.m01 - right.m01;
dest.m02 = left.m02 - right.m02;
dest.m03 = left.m03 - right.m03;
dest.m10 = left.m10 - right.m10;
dest.m11 = left.m11 - right.m11;
dest.m12 = left.m12 - right.m12;
dest.m13 = left.m13 - right.m13;
dest.m20 = left.m20 - right.m20;
dest.m21 = left.m21 - right.m21;
dest.m22 = left.m22 - right.m22;
dest.m23 = left.m23 - right.m23;
dest.m30 = left.m30 - right.m30;
dest.m31 = left.m31 - right.m31;
dest.m32 = left.m32 - right.m32;
dest.m33 = left.m33 - right.m33;
return dest;
}
/**
* Multiply the right matrix by the left and place the result in a third matrix.
* @param left The left source matrix
* @param right The right source matrix
* @param dest The destination matrix, or null if a new one is to be created
* @return the destination matrix
*/
public static Matrix4f mul(Matrix4f left, Matrix4f right, Matrix4f dest) {
if (dest == null)
dest = new Matrix4f();
float m00 = left.m00 * right.m00 + left.m10 * right.m01 + left.m20 * right.m02 + left.m30 * right.m03;
float m01 = left.m01 * right.m00 + left.m11 * right.m01 + left.m21 * right.m02 + left.m31 * right.m03;
float m02 = left.m02 * right.m00 + left.m12 * right.m01 + left.m22 * right.m02 + left.m32 * right.m03;
float m03 = left.m03 * right.m00 + left.m13 * right.m01 + left.m23 * right.m02 + left.m33 * right.m03;
float m10 = left.m00 * right.m10 + left.m10 * right.m11 + left.m20 * right.m12 + left.m30 * right.m13;
float m11 = left.m01 * right.m10 + left.m11 * right.m11 + left.m21 * right.m12 + left.m31 * right.m13;
float m12 = left.m02 * right.m10 + left.m12 * right.m11 + left.m22 * right.m12 + left.m32 * right.m13;
float m13 = left.m03 * right.m10 + left.m13 * right.m11 + left.m23 * right.m12 + left.m33 * right.m13;
float m20 = left.m00 * right.m20 + left.m10 * right.m21 + left.m20 * right.m22 + left.m30 * right.m23;
float m21 = left.m01 * right.m20 + left.m11 * right.m21 + left.m21 * right.m22 + left.m31 * right.m23;
float m22 = left.m02 * right.m20 + left.m12 * right.m21 + left.m22 * right.m22 + left.m32 * right.m23;
float m23 = left.m03 * right.m20 + left.m13 * right.m21 + left.m23 * right.m22 + left.m33 * right.m23;
float m30 = left.m00 * right.m30 + left.m10 * right.m31 + left.m20 * right.m32 + left.m30 * right.m33;
float m31 = left.m01 * right.m30 + left.m11 * right.m31 + left.m21 * right.m32 + left.m31 * right.m33;
float m32 = left.m02 * right.m30 + left.m12 * right.m31 + left.m22 * right.m32 + left.m32 * right.m33;
float m33 = left.m03 * right.m30 + left.m13 * right.m31 + left.m23 * right.m32 + left.m33 * right.m33;
dest.m00 = m00;
dest.m01 = m01;
dest.m02 = m02;
dest.m03 = m03;
dest.m10 = m10;
dest.m11 = m11;
dest.m12 = m12;
dest.m13 = m13;
dest.m20 = m20;
dest.m21 = m21;
dest.m22 = m22;
dest.m23 = m23;
dest.m30 = m30;
dest.m31 = m31;
dest.m32 = m32;
dest.m33 = m33;
return dest;
}
/**
* Transform a Vector by a matrix and return the result in a destination
* vector.
* @param left The left matrix
* @param right The right vector
* @param dest The destination vector, or null if a new one is to be created
* @return the destination vector
*/
public static Vector4f transform(Matrix4f left, Vector4f right, Vector4f dest) {
if (dest == null)
dest = new Vector4f();
float x = left.m00 * right.x + left.m10 * right.y + left.m20 * right.z + left.m30 * right.w;
float y = left.m01 * right.x + left.m11 * right.y + left.m21 * right.z + left.m31 * right.w;
float z = left.m02 * right.x + left.m12 * right.y + left.m22 * right.z + left.m32 * right.w;
float w = left.m03 * right.x + left.m13 * right.y + left.m23 * right.z + left.m33 * right.w;
dest.x = x;
dest.y = y;
dest.z = z;
dest.w = w;
return dest;
}
/**
* Transpose this matrix
* @return this
*/
public Matrix transpose() {
return transpose(this);
}
/**
* Translate this matrix
* @param vec The vector to translate by
* @return this
*/
public Matrix4f translate(Vector2f vec) {
return translate(vec, this);
}
/**
* Translate this matrix
* @param vec The vector to translate by
* @return this
*/
public Matrix4f translate(Vector3f vec) {
return translate(vec, this);
}
/**
* Scales this matrix
* @param vec The vector to scale by
* @return this
*/
public Matrix4f scale(Vector3f vec) {
return scale(vec, this, this);
}
/**
* Scales the source matrix and put the result in the destination matrix
* @param vec The vector to scale by
* @param src The source matrix
* @param dest The destination matrix, or null if a new matrix is to be created
* @return The scaled matrix
*/
public static Matrix4f scale(Vector3f vec, Matrix4f src, Matrix4f dest) {
if (dest == null)
dest = new Matrix4f();
dest.m00 = src.m00 * vec.x;
dest.m01 = src.m01 * vec.x;
dest.m02 = src.m02 * vec.x;
dest.m03 = src.m03 * vec.x;
dest.m10 = src.m10 * vec.y;
dest.m11 = src.m11 * vec.y;
dest.m12 = src.m12 * vec.y;
dest.m13 = src.m13 * vec.y;
dest.m20 = src.m20 * vec.z;
dest.m21 = src.m21 * vec.z;
dest.m22 = src.m22 * vec.z;
dest.m23 = src.m23 * vec.z;
return dest;
}
/**
* Rotates the matrix around the given axis the specified angle
* @param angle the angle, in radians.
* @param axis The vector representing the rotation axis. Must be normalized.
* @return this
*/
public Matrix4f rotate(float angle, Vector3f axis) {
return rotate(angle, axis, this);
}
/**
* Rotates the matrix around the given axis the specified angle
* @param angle the angle, in radians.
* @param axis The vector representing the rotation axis. Must be normalized.
* @param dest The matrix to put the result, or null if a new matrix is to be created
* @return The rotated matrix
*/
public Matrix4f rotate(float angle, Vector3f axis, Matrix4f dest) {
return rotate(angle, axis, this, dest);
}
/**
* Rotates the source matrix around the given axis the specified angle and
* put the result in the destination matrix.
* @param angle the angle, in radians.
* @param axis The vector representing the rotation axis. Must be normalized.
* @param src The matrix to rotate
* @param dest The matrix to put the result, or null if a new matrix is to be created
* @return The rotated matrix
*/
public static Matrix4f rotate(float angle, Vector3f axis, Matrix4f src, Matrix4f dest) {
if (dest == null)
dest = new Matrix4f();
float c = (float) Math.cos(angle);
float s = (float) Math.sin(angle);
float oneminusc = 1.0f - c;
float xy = axis.x*axis.y;
float yz = axis.y*axis.z;
float xz = axis.x*axis.z;
float xs = axis.x*s;
float ys = axis.y*s;
float zs = axis.z*s;
float f00 = axis.x*axis.x*oneminusc+c;
float f01 = xy*oneminusc+zs;
float f02 = xz*oneminusc-ys;
// n[3] not used
float f10 = xy*oneminusc-zs;
float f11 = axis.y*axis.y*oneminusc+c;
float f12 = yz*oneminusc+xs;
// n[7] not used
float f20 = xz*oneminusc+ys;
float f21 = yz*oneminusc-xs;
float f22 = axis.z*axis.z*oneminusc+c;
float t00 = src.m00 * f00 + src.m10 * f01 + src.m20 * f02;
float t01 = src.m01 * f00 + src.m11 * f01 + src.m21 * f02;
float t02 = src.m02 * f00 + src.m12 * f01 + src.m22 * f02;
float t03 = src.m03 * f00 + src.m13 * f01 + src.m23 * f02;
float t10 = src.m00 * f10 + src.m10 * f11 + src.m20 * f12;
float t11 = src.m01 * f10 + src.m11 * f11 + src.m21 * f12;
float t12 = src.m02 * f10 + src.m12 * f11 + src.m22 * f12;
float t13 = src.m03 * f10 + src.m13 * f11 + src.m23 * f12;
dest.m20 = src.m00 * f20 + src.m10 * f21 + src.m20 * f22;
dest.m21 = src.m01 * f20 + src.m11 * f21 + src.m21 * f22;
dest.m22 = src.m02 * f20 + src.m12 * f21 + src.m22 * f22;
dest.m23 = src.m03 * f20 + src.m13 * f21 + src.m23 * f22;
dest.m00 = t00;
dest.m01 = t01;
dest.m02 = t02;
dest.m03 = t03;
dest.m10 = t10;
dest.m11 = t11;
dest.m12 = t12;
dest.m13 = t13;
return dest;
}
/**
* Translate this matrix and stash the result in another matrix
* @param vec The vector to translate by
* @param dest The destination matrix or null if a new matrix is to be created
* @return the translated matrix
*/
public Matrix4f translate(Vector3f vec, Matrix4f dest) {
return translate(vec, this, dest);
}
/**
* Translate the source matrix and stash the result in the destination matrix
* @param vec The vector to translate by
* @param src The source matrix
* @param dest The destination matrix or null if a new matrix is to be created
* @return The translated matrix
*/
public static Matrix4f translate(Vector3f vec, Matrix4f src, Matrix4f dest) {
if (dest == null)
dest = new Matrix4f();
dest.m30 += src.m00 * vec.x + src.m10 * vec.y + src.m20 * vec.z;
dest.m31 += src.m01 * vec.x + src.m11 * vec.y + src.m21 * vec.z;
dest.m32 += src.m02 * vec.x + src.m12 * vec.y + src.m22 * vec.z;
dest.m33 += src.m03 * vec.x + src.m13 * vec.y + src.m23 * vec.z;
return dest;
}
/**
* Translate this matrix and stash the result in another matrix
* @param vec The vector to translate by
* @param dest The destination matrix or null if a new matrix is to be created
* @return the translated matrix
*/
public Matrix4f translate(Vector2f vec, Matrix4f dest) {
return translate(vec, this, dest);
}
/**
* Translate the source matrix and stash the result in the destination matrix
* @param vec The vector to translate by
* @param src The source matrix
* @param dest The destination matrix or null if a new matrix is to be created
* @return The translated matrix
*/
public static Matrix4f translate(Vector2f vec, Matrix4f src, Matrix4f dest) {
if (dest == null)
dest = new Matrix4f();
dest.m30 += src.m00 * vec.x + src.m10 * vec.y;
dest.m31 += src.m01 * vec.x + src.m11 * vec.y;
dest.m32 += src.m02 * vec.x + src.m12 * vec.y;
dest.m33 += src.m03 * vec.x + src.m13 * vec.y;
return dest;
}
/**
* Transpose this matrix and place the result in another matrix
* @param dest The destination matrix or null if a new matrix is to be created
* @return the transposed matrix
*/
public Matrix4f transpose(Matrix4f dest) {
return transpose(this, dest);
}
/**
* Transpose the source matrix and place the result in the destination matrix
* @param src The source matrix
* @param dest The destination matrix or null if a new matrix is to be created
* @return the transposed matrix
*/
public static Matrix4f transpose(Matrix4f src, Matrix4f dest) {
if (dest == null)
dest = new Matrix4f();
float m00 = src.m00;
float m01 = src.m10;
float m02 = src.m20;
float m03 = src.m30;
float m10 = src.m01;
float m11 = src.m11;
float m12 = src.m21;
float m13 = src.m31;
float m20 = src.m02;
float m21 = src.m12;
float m22 = src.m22;
float m23 = src.m32;
float m30 = src.m03;
float m31 = src.m13;
float m32 = src.m23;
float m33 = src.m33;
dest.m00 = m00;
dest.m01 = m01;
dest.m02 = m02;
dest.m03 = m03;
dest.m10 = m10;
dest.m11 = m11;
dest.m12 = m12;
dest.m13 = m13;
dest.m20 = m20;
dest.m21 = m21;
dest.m22 = m22;
dest.m23 = m23;
dest.m30 = m30;
dest.m31 = m31;
dest.m32 = m32;
dest.m33 = m33;
return dest;
}
/**
* @return the determinant of the matrix
*/
public float determinant() {
float f =
m00
* ((m11 * m22 * m33 + m12 * m23 * m31 + m13 * m21 * m32)
- m13 * m22 * m31
- m11 * m23 * m32
- m12 * m21 * m33);
f -= m01
* ((m10 * m22 * m33 + m12 * m23 * m30 + m13 * m20 * m32)
- m13 * m22 * m30
- m10 * m23 * m32
- m12 * m20 * m33);
f += m02
* ((m10 * m21 * m33 + m11 * m23 * m30 + m13 * m20 * m31)
- m13 * m21 * m30
- m10 * m23 * m31
- m11 * m20 * m33);
f -= m03
* ((m10 * m21 * m32 + m11 * m22 * m30 + m12 * m20 * m31)
- m12 * m21 * m30
- m10 * m22 * m31
- m11 * m20 * m32);
return f;
}
/**
* Calculate the determinant of a 3x3 matrix
* @return result
*/
private static float determinant3x3(float t00, float t01, float t02,
float t10, float t11, float t12,
float t20, float t21, float t22)
{
return t00 * (t11 * t22 - t12 * t21)
+ t01 * (t12 * t20 - t10 * t22)
+ t02 * (t10 * t21 - t11 * t20);
}
/**
* Invert this matrix
* @return this if successful, null otherwise
*/
public Matrix invert() {
return invert(this, this);
}
/**
* Invert the source matrix and put the result in the destination
* @param src The source matrix
* @param dest The destination matrix, or null if a new matrix is to be created
* @return The inverted matrix if successful, null otherwise
*/
public static Matrix4f invert(Matrix4f src, Matrix4f dest) {
float determinant = src.determinant();
if (determinant != 0) {
/*
* m00 m01 m02 m03
* m10 m11 m12 m13
* m20 m21 m22 m23
* m30 m31 m32 m33
*/
if (dest == null)
dest = new Matrix4f();
float determinant_inv = 1f/determinant;
// first row
float t00 = determinant3x3(src.m11, src.m12, src.m13, src.m21, src.m22, src.m23, src.m31, src.m32, src.m33);
float t01 = -determinant3x3(src.m10, src.m12, src.m13, src.m20, src.m22, src.m23, src.m30, src.m32, src.m33);
float t02 = determinant3x3(src.m10, src.m11, src.m13, src.m20, src.m21, src.m23, src.m30, src.m31, src.m33);
float t03 = -determinant3x3(src.m10, src.m11, src.m12, src.m20, src.m21, src.m22, src.m30, src.m31, src.m32);
// second row
float t10 = -determinant3x3(src.m01, src.m02, src.m03, src.m21, src.m22, src.m23, src.m31, src.m32, src.m33);
float t11 = determinant3x3(src.m00, src.m02, src.m03, src.m20, src.m22, src.m23, src.m30, src.m32, src.m33);
float t12 = -determinant3x3(src.m00, src.m01, src.m03, src.m20, src.m21, src.m23, src.m30, src.m31, src.m33);
float t13 = determinant3x3(src.m00, src.m01, src.m02, src.m20, src.m21, src.m22, src.m30, src.m31, src.m32);
// third row
float t20 = determinant3x3(src.m01, src.m02, src.m03, src.m11, src.m12, src.m13, src.m31, src.m32, src.m33);
float t21 = -determinant3x3(src.m00, src.m02, src.m03, src.m10, src.m12, src.m13, src.m30, src.m32, src.m33);
float t22 = determinant3x3(src.m00, src.m01, src.m03, src.m10, src.m11, src.m13, src.m30, src.m31, src.m33);
float t23 = -determinant3x3(src.m00, src.m01, src.m02, src.m10, src.m11, src.m12, src.m30, src.m31, src.m32);
// fourth row
float t30 = -determinant3x3(src.m01, src.m02, src.m03, src.m11, src.m12, src.m13, src.m21, src.m22, src.m23);
float t31 = determinant3x3(src.m00, src.m02, src.m03, src.m10, src.m12, src.m13, src.m20, src.m22, src.m23);
float t32 = -determinant3x3(src.m00, src.m01, src.m03, src.m10, src.m11, src.m13, src.m20, src.m21, src.m23);
float t33 = determinant3x3(src.m00, src.m01, src.m02, src.m10, src.m11, src.m12, src.m20, src.m21, src.m22);
// transpose and divide by the determinant
dest.m00 = t00*determinant_inv;
dest.m11 = t11*determinant_inv;
dest.m22 = t22*determinant_inv;
dest.m33 = t33*determinant_inv;
dest.m01 = t10*determinant_inv;
dest.m10 = t01*determinant_inv;
dest.m20 = t02*determinant_inv;
dest.m02 = t20*determinant_inv;
dest.m12 = t21*determinant_inv;
dest.m21 = t12*determinant_inv;
dest.m03 = t30*determinant_inv;
dest.m30 = t03*determinant_inv;
dest.m13 = t31*determinant_inv;
dest.m31 = t13*determinant_inv;
dest.m32 = t23*determinant_inv;
dest.m23 = t32*determinant_inv;
return dest;
} else
return null;
}
/**
* Negate this matrix
* @return this
*/
public Matrix negate() {
return negate(this);
}
/**
* Negate this matrix and place the result in a destination matrix.
* @param dest The destination matrix, or null if a new matrix is to be created
* @return the negated matrix
*/
public Matrix4f negate(Matrix4f dest) {
return negate(this, dest);
}
/**
* Negate this matrix and place the result in a destination matrix.
* @param src The source matrix
* @param dest The destination matrix, or null if a new matrix is to be created
* @return The negated matrix
*/
public static Matrix4f negate(Matrix4f src, Matrix4f dest) {
if (dest == null)
dest = new Matrix4f();
dest.m00 = -src.m00;
dest.m01 = -src.m01;
dest.m02 = -src.m02;
dest.m03 = -src.m03;
dest.m10 = -src.m10;
dest.m11 = -src.m11;
dest.m12 = -src.m12;
dest.m13 = -src.m13;
dest.m20 = -src.m20;
dest.m21 = -src.m21;
dest.m22 = -src.m22;
dest.m23 = -src.m23;
dest.m30 = -src.m30;
dest.m31 = -src.m31;
dest.m32 = -src.m32;
dest.m33 = -src.m33;
return dest;
}
}

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package utils.vectors;
import java.nio.FloatBuffer;
public interface ReadableVector {
/**
* @return the length of the vector
*/
float length();
/**
* @return the length squared of the vector
*/
float lengthSquared();
/**
* Store this vector in a FloatBuffer
* @param buf The buffer to store it in, at the current position
* @return this
*/
Vector store(FloatBuffer buf);
}

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package utils.vectors;
public interface ReadableVector2f {
/**
* @return x
*/
float getX();
/**
* @return y
*/
float getY();
}

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package utils.vectors;
public interface ReadableVector3f extends ReadableVector2f {
/**
* @return z
*/
float getZ();
}

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package utils.vectors;
public interface ReadableVector4f extends ReadableVector3f {
/**
* @return w
*/
float getW();
}

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package utils.vectors;
import java.io.Serializable;
import java.nio.FloatBuffer;
/**
*
* Base class for vectors.
*
* @author cix_foo <cix_foo@users.sourceforge.net>
* @version $Revision$
* $Id$
*/
public abstract class Vector implements Serializable, ReadableVector {
/**
* Constructor for Vector.
*/
protected Vector() {
super();
}
/**
* @return the length of the vector
*/
public final float length() {
return (float) Math.sqrt(lengthSquared());
}
/**
* @return the length squared of the vector
*/
public abstract float lengthSquared();
/**
* Load this vector from a FloatBuffer
* @param buf The buffer to load it from, at the current position
* @return this
*/
public abstract Vector load(FloatBuffer buf);
/**
* Negate a vector
* @return this
*/
public abstract Vector negate();
/**
* Normalise this vector
* @return this
*/
public final Vector normalise() {
float len = length();
if (len != 0.0f) {
float l = 1.0f / len;
return scale(l);
} else
throw new IllegalStateException("Zero length vector");
}
/**
* Store this vector in a FloatBuffer
* @param buf The buffer to store it in, at the current position
* @return this
*/
public abstract Vector store(FloatBuffer buf);
/**
* Scale this vector
* @param scale The scale factor
* @return this
*/
public abstract Vector scale(float scale);
}

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package utils.vectors;
import java.io.Serializable;
import java.nio.FloatBuffer;
/**
*
* Holds a 2-tuple vector.
*
* @author cix_foo <cix_foo@users.sourceforge.net>
* @version $Revision$
* $Id$
*/
public class Vector2f extends Vector implements Serializable, ReadableVector2f, WriteableVector2f {
private static final long serialVersionUID = 1L;
public float x, y;
/**
* Constructor for Vector2f.
*/
public Vector2f() {
super();
}
/**
* Constructor.
*/
public Vector2f(ReadableVector2f src) {
set(src);
}
/**
* Constructor.
*/
public Vector2f(float x, float y) {
set(x, y);
}
/* (non-Javadoc)
* @see org.lwjgl.util.vector.WritableVector2f#set(float, float)
*/
public void set(float x, float y) {
this.x = x;
this.y = y;
}
/**
* Load from another Vector2f
* @param src The source vector
* @return this
*/
public Vector2f set(ReadableVector2f src) {
x = src.getX();
y = src.getY();
return this;
}
/**
* @return the length squared of the vector
*/
public float lengthSquared() {
return x * x + y * y;
}
/**
* Translate a vector
* @param x The translation in x
* @param y the translation in y
* @return this
*/
public Vector2f translate(float x, float y) {
this.x += x;
this.y += y;
return this;
}
/**
* Negate a vector
* @return this
*/
public Vector negate() {
x = -x;
y = -y;
return this;
}
/**
* Negate a vector and place the result in a destination vector.
* @param dest The destination vector or null if a new vector is to be created
* @return the negated vector
*/
public Vector2f negate(Vector2f dest) {
if (dest == null)
dest = new Vector2f();
dest.x = -x;
dest.y = -y;
return dest;
}
/**
* Normalise this vector and place the result in another vector.
* @param dest The destination vector, or null if a new vector is to be created
* @return the normalised vector
*/
public Vector2f normalise(Vector2f dest) {
float l = length();
if (dest == null)
dest = new Vector2f(x / l, y / l);
else
dest.set(x / l, y / l);
return dest;
}
/**
* The dot product of two vectors is calculated as
* v1.x * v2.x + v1.y * v2.y + v1.z * v2.z
* @param left The LHS vector
* @param right The RHS vector
* @return left dot right
*/
public static float dot(Vector2f left, Vector2f right) {
return left.x * right.x + left.y * right.y;
}
/**
* Calculate the angle between two vectors, in radians
* @param a A vector
* @param b The other vector
* @return the angle between the two vectors, in radians
*/
public static float angle(Vector2f a, Vector2f b) {
float dls = dot(a, b) / (a.length() * b.length());
if (dls < -1f)
dls = -1f;
else if (dls > 1.0f)
dls = 1.0f;
return (float)Math.acos(dls);
}
/**
* Add a vector to another vector and place the result in a destination
* vector.
* @param left The LHS vector
* @param right The RHS vector
* @param dest The destination vector, or null if a new vector is to be created
* @return the sum of left and right in dest
*/
public static Vector2f add(Vector2f left, Vector2f right, Vector2f dest) {
if (dest == null)
return new Vector2f(left.x + right.x, left.y + right.y);
else {
dest.set(left.x + right.x, left.y + right.y);
return dest;
}
}
/**
* Subtract a vector from another vector and place the result in a destination
* vector.
* @param left The LHS vector
* @param right The RHS vector
* @param dest The destination vector, or null if a new vector is to be created
* @return left minus right in dest
*/
public static Vector2f sub(Vector2f left, Vector2f right, Vector2f dest) {
if (dest == null)
return new Vector2f(left.x - right.x, left.y - right.y);
else {
dest.set(left.x - right.x, left.y - right.y);
return dest;
}
}
/**
* Store this vector in a FloatBuffer
* @param buf The buffer to store it in, at the current position
* @return this
*/
public Vector store(FloatBuffer buf) {
buf.put(x);
buf.put(y);
return this;
}
/**
* Load this vector from a FloatBuffer
* @param buf The buffer to load it from, at the current position
* @return this
*/
public Vector load(FloatBuffer buf) {
x = buf.get();
y = buf.get();
return this;
}
/* (non-Javadoc)
* @see org.lwjgl.vector.Vector#scale(float)
*/
public Vector scale(float scale) {
x *= scale;
y *= scale;
return this;
}
/* (non-Javadoc)
* @see java.lang.Object#toString()
*/
public String toString() {
StringBuilder sb = new StringBuilder(64);
sb.append("Vector2f[");
sb.append(x);
sb.append(", ");
sb.append(y);
sb.append(']');
return sb.toString();
}
/**
* @return x
*/
public final float getX() {
return x;
}
/**
* @return y
*/
public final float getY() {
return y;
}
/**
* Set X
* @param x
*/
public final void setX(float x) {
this.x = x;
}
/**
* Set Y
* @param y
*/
public final void setY(float y) {
this.y = y;
}
public boolean equals(Object obj) {
if (this == obj) return true;
if (obj == null) return false;
if (getClass() != obj.getClass()) return false;
Vector2f other = (Vector2f)obj;
if (x == other.x && y == other.y) return true;
return false;
}
}

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package utils.vectors;
import java.io.Serializable;
import java.nio.FloatBuffer;
/**
*
* Holds a 3-tuple vector.
*
* @author cix_foo <cix_foo@users.sourceforge.net>
* @version $Revision$
* $Id$
*/
public class Vector3f extends Vector implements Serializable, ReadableVector3f, WriteableVector3f {
private static final long serialVersionUID = 1L;
public float x, y, z;
/**
* Constructor for Vector3f.
*/
public Vector3f() {
super();
}
/**
* Constructor
*/
public Vector3f(ReadableVector3f src) {
set(src);
}
/**
* Constructor
*/
public Vector3f(float x, float y, float z) {
set(x, y, z);
}
/* (non-Javadoc)
* @see org.lwjgl.util.vector.WritableVector2f#set(float, float)
*/
public void set(float x, float y) {
this.x = x;
this.y = y;
}
/* (non-Javadoc)
* @see org.lwjgl.util.vector.WritableVector3f#set(float, float, float)
*/
public void set(float x, float y, float z) {
this.x = x;
this.y = y;
this.z = z;
}
/**
* Load from another Vector3f
* @param src The source vector
* @return this
*/
public Vector3f set(ReadableVector3f src) {
x = src.getX();
y = src.getY();
z = src.getZ();
return this;
}
/**
* @return the length squared of the vector
*/
public float lengthSquared() {
return x * x + y * y + z * z;
}
/**
* Translate a vector
* @param x The translation in x
* @param y the translation in y
* @return this
*/
public Vector3f translate(float x, float y, float z) {
this.x += x;
this.y += y;
this.z += z;
return this;
}
/**
* Add a vector to another vector and place the result in a destination
* vector.
* @param left The LHS vector
* @param right The RHS vector
* @param dest The destination vector, or null if a new vector is to be created
* @return the sum of left and right in dest
*/
public static Vector3f add(Vector3f left, Vector3f right, Vector3f dest) {
if (dest == null)
return new Vector3f(left.x + right.x, left.y + right.y, left.z + right.z);
else {
dest.set(left.x + right.x, left.y + right.y, left.z + right.z);
return dest;
}
}
/**
* Subtract a vector from another vector and place the result in a destination
* vector.
* @param left The LHS vector
* @param right The RHS vector
* @param dest The destination vector, or null if a new vector is to be created
* @return left minus right in dest
*/
public static Vector3f sub(Vector3f left, Vector3f right, Vector3f dest) {
if (dest == null)
return new Vector3f(left.x - right.x, left.y - right.y, left.z - right.z);
else {
dest.set(left.x - right.x, left.y - right.y, left.z - right.z);
return dest;
}
}
/**
* The cross product of two vectors.
*
* @param left The LHS vector
* @param right The RHS vector
* @param dest The destination result, or null if a new vector is to be created
* @return left cross right
*/
public static Vector3f cross(
Vector3f left,
Vector3f right,
Vector3f dest)
{
if (dest == null)
dest = new Vector3f();
dest.set(
left.y * right.z - left.z * right.y,
right.x * left.z - right.z * left.x,
left.x * right.y - left.y * right.x
);
return dest;
}
/**
* Negate a vector
* @return this
*/
public Vector negate() {
x = -x;
y = -y;
z = -z;
return this;
}
/**
* Negate a vector and place the result in a destination vector.
* @param dest The destination vector or null if a new vector is to be created
* @return the negated vector
*/
public Vector3f negate(Vector3f dest) {
if (dest == null)
dest = new Vector3f();
dest.x = -x;
dest.y = -y;
dest.z = -z;
return dest;
}
/**
* Normalise this vector and place the result in another vector.
* @param dest The destination vector, or null if a new vector is to be created
* @return the normalised vector
*/
public Vector3f normalise(Vector3f dest) {
float l = length();
if (dest == null)
dest = new Vector3f(x / l, y / l, z / l);
else
dest.set(x / l, y / l, z / l);
return dest;
}
/**
* The dot product of two vectors is calculated as
* v1.x * v2.x + v1.y * v2.y + v1.z * v2.z
* @param left The LHS vector
* @param right The RHS vector
* @return left dot right
*/
public static float dot(Vector3f left, Vector3f right) {
return left.x * right.x + left.y * right.y + left.z * right.z;
}
/**
* Calculate the angle between two vectors, in radians
* @param a A vector
* @param b The other vector
* @return the angle between the two vectors, in radians
*/
public static float angle(Vector3f a, Vector3f b) {
float dls = dot(a, b) / (a.length() * b.length());
if (dls < -1f)
dls = -1f;
else if (dls > 1.0f)
dls = 1.0f;
return (float)Math.acos(dls);
}
/* (non-Javadoc)
* @see org.lwjgl.vector.Vector#load(FloatBuffer)
*/
public Vector load(FloatBuffer buf) {
x = buf.get();
y = buf.get();
z = buf.get();
return this;
}
/* (non-Javadoc)
* @see org.lwjgl.vector.Vector#scale(float)
*/
public Vector scale(float scale) {
x *= scale;
y *= scale;
z *= scale;
return this;
}
/* (non-Javadoc)
* @see org.lwjgl.vector.Vector#store(FloatBuffer)
*/
public Vector store(FloatBuffer buf) {
buf.put(x);
buf.put(y);
buf.put(z);
return this;
}
/* (non-Javadoc)
* @see java.lang.Object#toString()
*/
public String toString() {
StringBuilder sb = new StringBuilder(64);
sb.append("Vector3f[");
sb.append(x);
sb.append(", ");
sb.append(y);
sb.append(", ");
sb.append(z);
sb.append(']');
return sb.toString();
}
/**
* @return x
*/
public final float getX() {
return x;
}
/**
* @return y
*/
public final float getY() {
return y;
}
/**
* Set X
* @param x
*/
public final void setX(float x) {
this.x = x;
}
/**
* Set Y
* @param y
*/
public final void setY(float y) {
this.y = y;
}
/**
* Set Z
* @param z
*/
public void setZ(float z) {
this.z = z;
}
/* (Overrides)
* @see org.lwjgl.vector.ReadableVector3f#getZ()
*/
public float getZ() {
return z;
}
public boolean equals(Object obj) {
if (this == obj) return true;
if (obj == null) return false;
if (getClass() != obj.getClass()) return false;
Vector3f other = (Vector3f)obj;
if (x == other.x && y == other.y && z == other.z) return true;
return false;
}
}

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package utils.vectors;
import java.io.Serializable;
import java.nio.FloatBuffer;
/**
*
* Holds a 4-tuple vector.
*
* @author cix_foo <cix_foo@users.sourceforge.net>
* @version $Revision$
* $Id$
*/
public class Vector4f extends Vector implements Serializable, ReadableVector4f, WriteableVector4f {
private static final long serialVersionUID = 1L;
public float x, y, z, w;
/**
* Constructor for Vector4f.
*/
public Vector4f() {
super();
}
/**
* Constructor
*/
public Vector4f(ReadableVector4f src) {
set(src);
}
/**
* Constructor
*/
public Vector4f(float x, float y, float z, float w) {
set(x, y, z, w);
}
/* (non-Javadoc)
* @see org.lwjgl.util.vector.WritableVector2f#set(float, float)
*/
public void set(float x, float y) {
this.x = x;
this.y = y;
}
/* (non-Javadoc)
* @see org.lwjgl.util.vector.WritableVector3f#set(float, float, float)
*/
public void set(float x, float y, float z) {
this.x = x;
this.y = y;
this.z = z;
}
/* (non-Javadoc)
* @see org.lwjgl.util.vector.WritableVector4f#set(float, float, float, float)
*/
public void set(float x, float y, float z, float w) {
this.x = x;
this.y = y;
this.z = z;
this.w = w;
}
/**
* Load from another Vector4f
* @param src The source vector
* @return this
*/
public Vector4f set(ReadableVector4f src) {
x = src.getX();
y = src.getY();
z = src.getZ();
w = src.getW();
return this;
}
/**
* @return the length squared of the vector
*/
public float lengthSquared() {
return x * x + y * y + z * z + w * w;
}
/**
* Translate a vector
* @param x The translation in x
* @param y the translation in y
* @return this
*/
public Vector4f translate(float x, float y, float z, float w) {
this.x += x;
this.y += y;
this.z += z;
this.w += w;
return this;
}
/**
* Add a vector to another vector and place the result in a destination
* vector.
* @param left The LHS vector
* @param right The RHS vector
* @param dest The destination vector, or null if a new vector is to be created
* @return the sum of left and right in dest
*/
public static Vector4f add(Vector4f left, Vector4f right, Vector4f dest) {
if (dest == null)
return new Vector4f(left.x + right.x, left.y + right.y, left.z + right.z, left.w + right.w);
else {
dest.set(left.x + right.x, left.y + right.y, left.z + right.z, left.w + right.w);
return dest;
}
}
/**
* Subtract a vector from another vector and place the result in a destination
* vector.
* @param left The LHS vector
* @param right The RHS vector
* @param dest The destination vector, or null if a new vector is to be created
* @return left minus right in dest
*/
public static Vector4f sub(Vector4f left, Vector4f right, Vector4f dest) {
if (dest == null)
return new Vector4f(left.x - right.x, left.y - right.y, left.z - right.z, left.w - right.w);
else {
dest.set(left.x - right.x, left.y - right.y, left.z - right.z, left.w - right.w);
return dest;
}
}
/**
* Negate a vector
* @return this
*/
public Vector negate() {
x = -x;
y = -y;
z = -z;
w = -w;
return this;
}
/**
* Negate a vector and place the result in a destination vector.
* @param dest The destination vector or null if a new vector is to be created
* @return the negated vector
*/
public Vector4f negate(Vector4f dest) {
if (dest == null)
dest = new Vector4f();
dest.x = -x;
dest.y = -y;
dest.z = -z;
dest.w = -w;
return dest;
}
/**
* Normalise this vector and place the result in another vector.
* @param dest The destination vector, or null if a new vector is to be created
* @return the normalised vector
*/
public Vector4f normalise(Vector4f dest) {
float l = length();
if (dest == null)
dest = new Vector4f(x / l, y / l, z / l, w / l);
else
dest.set(x / l, y / l, z / l, w / l);
return dest;
}
/**
* The dot product of two vectors is calculated as
* v1.x * v2.x + v1.y * v2.y + v1.z * v2.z + v1.w * v2.w
* @param left The LHS vector
* @param right The RHS vector
* @return left dot right
*/
public static float dot(Vector4f left, Vector4f right) {
return left.x * right.x + left.y * right.y + left.z * right.z + left.w * right.w;
}
/**
* Calculate the angle between two vectors, in radians
* @param a A vector
* @param b The other vector
* @return the angle between the two vectors, in radians
*/
public static float angle(Vector4f a, Vector4f b) {
float dls = dot(a, b) / (a.length() * b.length());
if (dls < -1f)
dls = -1f;
else if (dls > 1.0f)
dls = 1.0f;
return (float)Math.acos(dls);
}
/* (non-Javadoc)
* @see org.lwjgl.vector.Vector#load(FloatBuffer)
*/
public Vector load(FloatBuffer buf) {
x = buf.get();
y = buf.get();
z = buf.get();
w = buf.get();
return this;
}
/* (non-Javadoc)
* @see org.lwjgl.vector.Vector#scale(float)
*/
public Vector scale(float scale) {
x *= scale;
y *= scale;
z *= scale;
w *= scale;
return this;
}
/* (non-Javadoc)
* @see org.lwjgl.vector.Vector#store(FloatBuffer)
*/
public Vector store(FloatBuffer buf) {
buf.put(x);
buf.put(y);
buf.put(z);
buf.put(w);
return this;
}
public String toString() {
return "Vector4f: " + x + " " + y + " " + z + " " + w;
}
/**
* @return x
*/
public final float getX() {
return x;
}
/**
* @return y
*/
public final float getY() {
return y;
}
/**
* Set X
* @param x
*/
public final void setX(float x) {
this.x = x;
}
/**
* Set Y
* @param y
*/
public final void setY(float y) {
this.y = y;
}
/**
* Set Z
* @param z
*/
public void setZ(float z) {
this.z = z;
}
/* (Overrides)
* @see org.lwjgl.vector.ReadableVector3f#getZ()
*/
public float getZ() {
return z;
}
/**
* Set W
* @param w
*/
public void setW(float w) {
this.w = w;
}
/* (Overrides)
* @see org.lwjgl.vector.ReadableVector3f#getZ()
*/
public float getW() {
return w;
}
public boolean equals(Object obj) {
if (this == obj) return true;
if (obj == null) return false;
if (getClass() != obj.getClass()) return false;
Vector4f other = (Vector4f)obj;
if (x == other.x && y == other.y && z == other.z && w == other.w) return true;
return false;
}
}

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package utils.vectors;
public interface WriteableVector2f {
/**
* Set the X value
* @param x
*/
void setX(float x);
/**
* Set the Y value
* @param y
*/
void setY(float y);
/**
* Set the X,Y values
* @param x
* @param y
*/
void set(float x, float y);
}

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package utils.vectors;
public interface WriteableVector3f extends WriteableVector2f {
/**
* Set the Z value
* @param z
*/
void setZ(float z);
/**
* Set the X,Y,Z values
* @param x
* @param y
* @param z
*/
void set(float x, float y, float z);
}

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package utils.vectors;
public interface WriteableVector4f extends WriteableVector3f {
/**
* Set the W value
* @param w
*/
void setW(float w);
/**
* Set the X,Y,Z,W values
* @param x
* @param y
* @param z
* @param w
*/
void set(float x, float y, float z, float w);
}