ProjectFloat: Promote to public, exposing general matrix/vector math, custom instancing using sliced nio-buffer/primitive-array

2 files changed, 1197 insertions, 92 deletions

diff --git a/src/jogl/classes/com/jogamp/opengl/util/PMVMatrix.java b/src/jogl/classes/com/jogamp/opengl/util/PMVMatrix.java
index 10ea29168..1db3f132f 100644
--- a/src/jogl/classes/com/jogamp/opengl/util/PMVMatrix.java
+++ b/src/jogl/classes/com/jogamp/opengl/util/PMVMatrix.java
@@ -1,5 +1,6 @@
 /*
  * Copyright (c) 2009 Sun Microsystems, Inc. All Rights Reserved.
+ * Copyright (c) 2011 JogAmp Community. All rights reserved.
  * 
  * Redistribution and use in source and binary forms, with or without
  * modification, are permitted provided that the following conditions are
@@ -33,16 +34,18 @@
 
 package com.jogamp.opengl.util;
 
-import com.jogamp.common.nio.Buffers;
-import jogamp.opengl.ProjectFloat;
-
-import java.nio.*;
+import java.nio.Buffer;
+import java.nio.FloatBuffer;
+import java.nio.IntBuffer;
 import java.util.ArrayList;
 import java.util.List;
 
-import javax.media.opengl.*;
+import javax.media.opengl.GL;
+import javax.media.opengl.GLException;
 import javax.media.opengl.fixedfunc.GLMatrixFunc;
 
+import com.jogamp.common.nio.Buffers;
+
 public class PMVMatrix implements GLMatrixFunc {
 
     protected final float[] matrixBufferArray;
@@ -69,8 +72,6 @@ public class PMVMatrix implements GLMatrixFunc {
      *                        this flag shall be set to <code>true</code> or <code>false</code></p>.
      */
     public PMVMatrix(boolean useBackingArray) {
-          projectFloat = new ProjectFloat();
-
           // I    Identity
           // T    Texture
           // P    Projection
@@ -78,29 +79,30 @@ public class PMVMatrix implements GLMatrixFunc {
           // Mvi  Modelview-Inverse
           // Mvit Modelview-Inverse-Transpose
           if(useBackingArray) {
-              matrixBufferArray = new float[6*16];
+              matrixBufferArray = new float[ 6*16 + ProjectFloat.getRequiredFloatBufferSize() ];
               matrixBuffer = null;
-              // matrixBuffer = FloatBuffer.wrap(new float[12*16]);
           } else {
               matrixBufferArray = null;
-              matrixBuffer = Buffers.newDirectByteBuffer(6*16 * Buffers.SIZEOF_FLOAT);
+              matrixBuffer = Buffers.newDirectByteBuffer( ( 6*16 + ProjectFloat.getRequiredFloatBufferSize() ) * Buffers.SIZEOF_FLOAT );
               matrixBuffer.mark();
           }
           
-          matrixIdent   = slice2Float(matrixBuffer, matrixBufferArray,  0*16, 1*16);  //  I
-          matrixTex     = slice2Float(matrixBuffer, matrixBufferArray,  1*16, 1*16);  //      T
-          matrixPMvMvit = slice2Float(matrixBuffer, matrixBufferArray,  2*16, 4*16);  //          P  + Mv + Mvi + Mvit          
-          matrixPMvMvi  = slice2Float(matrixBuffer, matrixBufferArray,  2*16, 3*16);  //          P  + Mv + Mvi
-          matrixPMv     = slice2Float(matrixBuffer, matrixBufferArray,  2*16, 2*16);  //          P  + Mv
-          matrixP       = slice2Float(matrixBuffer, matrixBufferArray,  2*16, 1*16);  //          P
-          matrixMv      = slice2Float(matrixBuffer, matrixBufferArray,  3*16, 1*16);  //               Mv
-          matrixMvi     = slice2Float(matrixBuffer, matrixBufferArray,  4*16, 1*16);  //                    Mvi
-          matrixMvit    = slice2Float(matrixBuffer, matrixBufferArray,  5*16, 1*16);  //                          Mvit
+          matrixIdent   = ProjectFloat.slice2Float(matrixBuffer, matrixBufferArray,  0*16, 1*16);  //  I
+          matrixTex     = ProjectFloat.slice2Float(matrixBuffer, matrixBufferArray,  1*16, 1*16);  //      T
+          matrixPMvMvit = ProjectFloat.slice2Float(matrixBuffer, matrixBufferArray,  2*16, 4*16);  //          P  + Mv + Mvi + Mvit          
+          matrixPMvMvi  = ProjectFloat.slice2Float(matrixBuffer, matrixBufferArray,  2*16, 3*16);  //          P  + Mv + Mvi
+          matrixPMv     = ProjectFloat.slice2Float(matrixBuffer, matrixBufferArray,  2*16, 2*16);  //          P  + Mv
+          matrixP       = ProjectFloat.slice2Float(matrixBuffer, matrixBufferArray,  2*16, 1*16);  //          P
+          matrixMv      = ProjectFloat.slice2Float(matrixBuffer, matrixBufferArray,  3*16, 1*16);  //               Mv
+          matrixMvi     = ProjectFloat.slice2Float(matrixBuffer, matrixBufferArray,  4*16, 1*16);  //                    Mvi
+          matrixMvit    = ProjectFloat.slice2Float(matrixBuffer, matrixBufferArray,  5*16, 1*16);  //                          Mvit
+          
+          projectFloat  = new ProjectFloat(matrixBuffer, matrixBufferArray, 6*16);
           
           if(null != matrixBuffer) {
               matrixBuffer.reset();
           }          
-          ProjectFloat.gluMakeIdentityf(matrixIdent);
+          ProjectFloat.makeIdentityf(matrixIdent);
           
           vec3f         = new float[3];
           matrixMult    = new float[16];
@@ -109,11 +111,11 @@ public class PMVMatrix implements GLMatrixFunc {
           matrixScale   = new float[16];
           matrixOrtho   = new float[16];
           matrixFrustum = new float[16];
-          ProjectFloat.gluMakeIdentityf(matrixTrans, 0);
-          ProjectFloat.gluMakeIdentityf(matrixRot, 0);
-          ProjectFloat.gluMakeIdentityf(matrixScale, 0);
-          ProjectFloat.gluMakeIdentityf(matrixOrtho, 0);
-          ProjectFloat.gluMakeZero(matrixFrustum, 0);
+          ProjectFloat.makeIdentityf(matrixTrans, 0);
+          ProjectFloat.makeIdentityf(matrixRot, 0);
+          ProjectFloat.makeIdentityf(matrixScale, 0);
+          ProjectFloat.makeIdentityf(matrixOrtho, 0);
+          ProjectFloat.makeZero(matrixFrustum, 0);
 
           matrixPStack = new ArrayList<float[]>();
           matrixMvStack= new ArrayList<float[]>();
@@ -161,43 +163,6 @@ public class PMVMatrix implements GLMatrixFunc {
     }
 
 
-    /**
-     * Slices a ByteBuffer to a FloatBuffer at the given position with the given size
-     * in float-space. Using a ByteBuffer as the source guarantees 
-     * keeping the source native order programmatically.  
-     * This works around <a href="http://code.google.com/p/android/issues/detail?id=16434">Honeycomb / Android 3.0 Issue 16434</a>. 
-     * This bug is resolved at least in Android 3.2.
-     * 
-     * @param buf source ByteBuffer
-     * @param backing source float array
-     * @param posFloat {@link Buffers#SIZEOF_FLOAT} position
-     * @param lenFloat {@link Buffers#SIZEOF_FLOAT} size 
-     * @return FloatBuffer w/ native byte order as given ByteBuffer
-     */
-    private static FloatBuffer slice2Float(Buffer buf, float[] backing, int posFloat, int lenFloat) {
-        if(buf instanceof ByteBuffer) {
-            ByteBuffer bb = (ByteBuffer) buf;
-            bb.position( posFloat * Buffers.SIZEOF_FLOAT );
-            bb.limit( (posFloat + lenFloat) * Buffers.SIZEOF_FLOAT );
-            FloatBuffer fb = bb.slice().order(bb.order()).asFloatBuffer(); // slice and duplicate may change byte order
-            fb.mark();
-            return fb;
-        } else if(null != backing) {
-            FloatBuffer fb  = FloatBuffer.wrap(backing, posFloat, lenFloat);
-            fb.mark();
-            return fb;
-        } else if(buf instanceof FloatBuffer) {
-            FloatBuffer fb = (FloatBuffer) buf;
-            fb.position( posFloat );
-            fb.limit( posFloat + lenFloat );
-            FloatBuffer fb0 = fb.slice(); // slice and duplicate may change byte order
-            fb0.mark();
-            return fb0;
-        } else {
-            throw new InternalError("XXX");
-        }
-    }
-
     public static final boolean isMatrixModeName(final int matrixModeName) {
         switch(matrixModeName) {
             case GL_MODELVIEW_MATRIX:
@@ -364,30 +329,6 @@ public class PMVMatrix implements GLMatrixFunc {
       glFrustumf(left, right, bottom, top, zNear, zFar);
     }
 
-    public static final void glMultMatrixf(final FloatBuffer a, final FloatBuffer b, FloatBuffer d) {
-       final int aP = a.position(); 
-       final int bP = b.position();
-       final int dP = d.position();
-       for (int i = 0; i < 4; i++) {
-          final float ai0=a.get(aP+i+0*4),  ai1=a.get(aP+i+1*4),  ai2=a.get(aP+i+2*4),  ai3=a.get(aP+i+3*4);
-          d.put(dP+i+0*4 , ai0 * b.get(bP+0+0*4) + ai1 * b.get(bP+1+0*4) + ai2 * b.get(bP+2+0*4) + ai3 * b.get(bP+3+0*4) );
-          d.put(dP+i+1*4 , ai0 * b.get(bP+0+1*4) + ai1 * b.get(bP+1+1*4) + ai2 * b.get(bP+2+1*4) + ai3 * b.get(bP+3+1*4) );
-          d.put(dP+i+2*4 , ai0 * b.get(bP+0+2*4) + ai1 * b.get(bP+1+2*4) + ai2 * b.get(bP+2+2*4) + ai3 * b.get(bP+3+2*4) );
-          d.put(dP+i+3*4 , ai0 * b.get(bP+0+3*4) + ai1 * b.get(bP+1+3*4) + ai2 * b.get(bP+2+3*4) + ai3 * b.get(bP+3+3*4) );
-       }
-    }
-    public static final void glMultMatrixf(final FloatBuffer a, final float[] b, int b_off, FloatBuffer d) {
-       final int aP = a.position(); 
-       final int dP = d.position();
-       for (int i = 0; i < 4; i++) {
-          final float ai0=a.get(aP+i+0*4),  ai1=a.get(aP+i+1*4),  ai2=a.get(aP+i+2*4),  ai3=a.get(aP+i+3*4);
-          d.put(dP+i+0*4 , ai0 * b[b_off+0+0*4] + ai1 * b[b_off+1+0*4] + ai2 * b[b_off+2+0*4] + ai3 * b[b_off+3+0*4] );
-          d.put(dP+i+1*4 , ai0 * b[b_off+0+1*4] + ai1 * b[b_off+1+1*4] + ai2 * b[b_off+2+1*4] + ai3 * b[b_off+3+1*4] );
-          d.put(dP+i+2*4 , ai0 * b[b_off+0+2*4] + ai1 * b[b_off+1+2*4] + ai2 * b[b_off+2+2*4] + ai3 * b[b_off+3+2*4] );
-          d.put(dP+i+3*4 , ai0 * b[b_off+0+3*4] + ai1 * b[b_off+1+3*4] + ai2 * b[b_off+2+3*4] + ai3 * b[b_off+3+3*4] );
-       }
-    }
-
     // 
     // MatrixIf
     //
@@ -524,26 +465,26 @@ public class PMVMatrix implements GLMatrixFunc {
 
     public final void glMultMatrixf(final FloatBuffer m) {
         if(matrixMode==GL_MODELVIEW) {
-            glMultMatrixf(matrixMv, m, matrixMv);
+            ProjectFloat.multMatrixf(matrixMv, m, matrixMv);
             modified |= DIRTY_MODELVIEW ;
         } else if(matrixMode==GL_PROJECTION) {
-            glMultMatrixf(matrixP, m, matrixP);
+            ProjectFloat.multMatrixf(matrixP, m, matrixP);
             modified |= DIRTY_PROJECTION ;
         } else if(matrixMode==GL.GL_TEXTURE) {
-            glMultMatrixf(matrixTex, m, matrixTex);
+            ProjectFloat.multMatrixf(matrixTex, m, matrixTex);
             modified |= DIRTY_TEXTURE ;
         } 
     }
 
     public void glMultMatrixf(float[] m, int m_offset) {
         if(matrixMode==GL_MODELVIEW) {
-            glMultMatrixf(matrixMv, m, m_offset, matrixMv);
+            ProjectFloat.multMatrixf(matrixMv, m, m_offset, matrixMv);
             modified |= DIRTY_MODELVIEW ;
         } else if(matrixMode==GL_PROJECTION) {
-            glMultMatrixf(matrixP, m, m_offset, matrixP);
+            ProjectFloat.multMatrixf(matrixP, m, m_offset, matrixP);
             modified |= DIRTY_PROJECTION ;
         } else if(matrixMode==GL.GL_TEXTURE) {
-            glMultMatrixf(matrixTex, m, m_offset, matrixTex);
+            ProjectFloat.multMatrixf(matrixTex, m, m_offset, matrixTex);
             modified |= DIRTY_TEXTURE ;
         } 
     }
diff --git a/src/jogl/classes/com/jogamp/opengl/util/ProjectFloat.java b/src/jogl/classes/com/jogamp/opengl/util/ProjectFloat.java
new file mode 100644
index 000000000..aa1258c34
--- /dev/null
+++ b/src/jogl/classes/com/jogamp/opengl/util/ProjectFloat.java
@@ -0,0 +1,1164 @@
+/*
+** License Applicability. Except to the extent portions of this file are
+** made subject to an alternative license as permitted in the SGI Free
+** Software License B, Version 2.0 (the "License"), the contents of this
+** file are subject only to the provisions of the License. You may not use
+** this file except in compliance with the License. You may obtain a copy
+** of the License at Silicon Graphics, Inc., attn: Legal Services, 1600
+** Amphitheatre Parkway, Mountain View, CA 94043-1351, or at:
+** 
+** http://oss.sgi.com/projects/FreeB
+** 
+** Note that, as provided in the License, the Software is distributed on an
+** "AS IS" basis, with ALL EXPRESS AND IMPLIED WARRANTIES AND CONDITIONS
+** DISCLAIMED, INCLUDING, WITHOUT LIMITATION, ANY IMPLIED WARRANTIES AND
+** CONDITIONS OF MERCHANTABILITY, SATISFACTORY QUALITY, FITNESS FOR A
+** PARTICULAR PURPOSE, AND NON-INFRINGEMENT.
+**
+** NOTE:  The Original Code (as defined below) has been licensed to Sun
+** Microsystems, Inc. ("Sun") under the SGI Free Software License B
+** (Version 1.1), shown above ("SGI License").   Pursuant to Section
+** 3.2(3) of the SGI License, Sun is distributing the Covered Code to
+** you under an alternative license ("Alternative License").  This
+** Alternative License includes all of the provisions of the SGI License
+** except that Section 2.2 and 11 are omitted.  Any differences between
+** the Alternative License and the SGI License are offered solely by Sun
+** and not by SGI.
+** 
+** Original Code. The Original Code is: OpenGL Sample Implementation,
+** Version 1.2.1, released January 26, 2000, developed by Silicon Graphics,
+** Inc. The Original Code is Copyright (c) 1991-2000 Silicon Graphics, Inc.
+** Copyright in any portions created by third parties is as indicated
+** elsewhere herein. All Rights Reserved.
+** 
+** Additional Notice Provisions: The application programming interfaces
+** established by SGI in conjunction with the Original Code are The
+** OpenGL(R) Graphics System: A Specification (Version 1.2.1), released
+** April 1, 1999; The OpenGL(R) Graphics System Utility Library (Version
+** 1.3), released November 4, 1998; and OpenGL(R) Graphics with the X
+** Window System(R) (Version 1.3), released October 19, 1998. This software
+** was created using the OpenGL(R) version 1.2.1 Sample Implementation
+** published by SGI, but has not been independently verified as being
+** compliant with the OpenGL(R) version 1.2.1 Specification.
+**
+** $Date: 2009-03-13 22:20:29 -0700 (Fri, 13 Mar 2009) $ $Revision: 1867 $
+** $Header$
+*/
+
+/* 
+ * Copyright (c) 2002-2004 LWJGL Project
+ * All rights reserved.
+ * 
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are 
+ * met:
+ * 
+ * * Redistributions of source code must retain the above copyright 
+ *   notice, this list of conditions and the following disclaimer.
+ *
+ * * Redistributions in binary form must reproduce the above copyright
+ *   notice, this list of conditions and the following disclaimer in the
+ *   documentation and/or other materials provided with the distribution.
+ *
+ * * Neither the name of 'LWJGL' nor the names of 
+ *   its contributors may be used to endorse or promote products derived 
+ *   from this software without specific prior written permission.
+ * 
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR 
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, 
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING 
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Copyright (c) 2003 Sun Microsystems, Inc. All Rights Reserved.
+ * Copyright (c) 2011 JogAmp Community. All rights reserved.
+ * 
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ * 
+ * - Redistribution of source code must retain the above copyright
+ *   notice, this list of conditions and the following disclaimer.
+ * 
+ * - Redistribution in binary form must reproduce the above copyright
+ *   notice, this list of conditions and the following disclaimer in the
+ *   documentation and/or other materials provided with the distribution.
+ * 
+ * Neither the name of Sun Microsystems, Inc. or the names of
+ * contributors may be used to endorse or promote products derived from
+ * this software without specific prior written permission.
+ * 
+ * This software is provided "AS IS," without a warranty of any kind. ALL
+ * EXPRESS OR IMPLIED CONDITIONS, REPRESENTATIONS AND WARRANTIES,
+ * INCLUDING ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS FOR A
+ * PARTICULAR PURPOSE OR NON-INFRINGEMENT, ARE HEREBY EXCLUDED. SUN
+ * MICROSYSTEMS, INC. ("SUN") AND ITS LICENSORS SHALL NOT BE LIABLE FOR
+ * ANY DAMAGES SUFFERED BY LICENSEE AS A RESULT OF USING, MODIFYING OR
+ * DISTRIBUTING THIS SOFTWARE OR ITS DERIVATIVES. IN NO EVENT WILL SUN OR
+ * ITS LICENSORS BE LIABLE FOR ANY LOST REVENUE, PROFIT OR DATA, OR FOR
+ * DIRECT, INDIRECT, SPECIAL, CONSEQUENTIAL, INCIDENTAL OR PUNITIVE
+ * DAMAGES, HOWEVER CAUSED AND REGARDLESS OF THE THEORY OF LIABILITY,
+ * ARISING OUT OF THE USE OF OR INABILITY TO USE THIS SOFTWARE, EVEN IF
+ * SUN HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES.
+ * 
+ * You acknowledge that this software is not designed or intended for use
+ * in the design, construction, operation or maintenance of any nuclear
+ * facility.
+ */
+package com.jogamp.opengl.util;
+
+import java.nio.Buffer;
+import java.nio.ByteBuffer;
+import java.nio.FloatBuffer;
+import java.nio.IntBuffer;
+
+import javax.media.opengl.fixedfunc.GLMatrixFunc;
+
+import com.jogamp.common.nio.Buffers;
+
+/**
+ * ProjectFloat.java
+ * <p/>
+ * <p/>
+ * Created 11-jan-2004
+ * 
+ * @author Erik Duijs
+ * @author Kenneth Russell
+ * @author Sven Gothel
+ */
+public class ProjectFloat {
+  private static final float[] IDENTITY_MATRIX =
+    new float[] {
+      1.0f, 0.0f, 0.0f, 0.0f,
+      0.0f, 1.0f, 0.0f, 0.0f,
+      0.0f, 0.0f, 1.0f, 0.0f,
+      0.0f, 0.0f, 0.0f, 1.0f };
+
+  private static final float[] ZERO_MATRIX =
+    new float[] {
+      0.0f, 0.0f, 0.0f, 0.0f,
+      0.0f, 0.0f, 0.0f, 0.0f,
+      0.0f, 0.0f, 0.0f, 0.0f,
+      0.0f, 0.0f, 0.0f, 0.0f };
+
+  /**
+   * Make matrix an identity matrix
+   */
+  public static void makeIdentityf(float[] m, int offset) {
+    for (int i = 0; i < 16; i++) {
+      m[i+offset] = IDENTITY_MATRIX[i];
+    }
+  }
+
+  /**
+   * Make matrix an identity matrix
+   */
+  public static void makeIdentityf(FloatBuffer m) {
+    int oldPos = m.position();
+    m.put(IDENTITY_MATRIX);
+    m.position(oldPos);
+  }
+
+  /**
+   * Make matrix an zero matrix
+   */
+  public static void makeZero(float[] m, int offset) {
+    for (int i = 0; i < 16; i++) {
+      m[i+offset] = 0;
+    }
+  }
+
+  /**
+   * Make matrix an zero matrix
+   */
+  public static void makeZero(FloatBuffer m) {
+    int oldPos = m.position();
+    m.put(ZERO_MATRIX);
+    m.position(oldPos);
+  }
+  
+  /**
+   * @param a
+   * @param b
+   * @param d result a*b
+   */
+  public static final void multMatrixf(final float[] a, int a_off, final float[] b, int b_off, float[] d, int d_off) {
+     for (int i = 0; i < 4; i++) {
+        final float ai0=a[a_off+i+0*4],  ai1=a[a_off+i+1*4],  ai2=a[a_off+i+2*4],  ai3=a[a_off+i+3*4];
+        d[d_off+i+0*4] = ai0 * b[b_off+0+0*4] + ai1 * b[b_off+1+0*4] + ai2 * b[b_off+2+0*4] + ai3 * b[b_off+3+0*4] ;
+        d[d_off+i+1*4] = ai0 * b[b_off+0+1*4] + ai1 * b[b_off+1+1*4] + ai2 * b[b_off+2+1*4] + ai3 * b[b_off+3+1*4] ;
+        d[d_off+i+2*4] = ai0 * b[b_off+0+2*4] + ai1 * b[b_off+1+2*4] + ai2 * b[b_off+2+2*4] + ai3 * b[b_off+3+2*4] ;
+        d[d_off+i+3*4] = ai0 * b[b_off+0+3*4] + ai1 * b[b_off+1+3*4] + ai2 * b[b_off+2+3*4] + ai3 * b[b_off+3+3*4] ;
+     }
+  }
+
+  /**
+   * @param a
+   * @param b
+   * @param d result a*b
+   */
+  public static final void multMatrixf(final float[] a, int a_off, final float[] b, int b_off, FloatBuffer d) {
+     final int dP = d.position();
+     for (int i = 0; i < 4; i++) {
+        final float ai0=a[a_off+i+0*4],  ai1=a[a_off+i+1*4],  ai2=a[a_off+i+2*4],  ai3=a[a_off+i+3*4];
+        d.put(dP+i+0*4 , ai0 * b[b_off+0+0*4] + ai1 * b[b_off+1+0*4] + ai2 * b[b_off+2+0*4] + ai3 * b[b_off+3+0*4] );
+        d.put(dP+i+1*4 , ai0 * b[b_off+0+1*4] + ai1 * b[b_off+1+1*4] + ai2 * b[b_off+2+1*4] + ai3 * b[b_off+3+1*4] );
+        d.put(dP+i+2*4 , ai0 * b[b_off+0+2*4] + ai1 * b[b_off+1+2*4] + ai2 * b[b_off+2+2*4] + ai3 * b[b_off+3+2*4] );
+        d.put(dP+i+3*4 , ai0 * b[b_off+0+3*4] + ai1 * b[b_off+1+3*4] + ai2 * b[b_off+2+3*4] + ai3 * b[b_off+3+3*4] );
+     }
+  }
+
+  /**
+   * @param a
+   * @param b
+   * @param d result a*b
+   */
+  public static final void multMatrixf(final FloatBuffer a, final float[] b, int b_off, FloatBuffer d) {
+     final int aP = a.position(); 
+     final int dP = d.position();
+     for (int i = 0; i < 4; i++) {
+        final float ai0=a.get(aP+i+0*4),  ai1=a.get(aP+i+1*4),  ai2=a.get(aP+i+2*4),  ai3=a.get(aP+i+3*4);
+        d.put(dP+i+0*4 , ai0 * b[b_off+0+0*4] + ai1 * b[b_off+1+0*4] + ai2 * b[b_off+2+0*4] + ai3 * b[b_off+3+0*4] );
+        d.put(dP+i+1*4 , ai0 * b[b_off+0+1*4] + ai1 * b[b_off+1+1*4] + ai2 * b[b_off+2+1*4] + ai3 * b[b_off+3+1*4] );
+        d.put(dP+i+2*4 , ai0 * b[b_off+0+2*4] + ai1 * b[b_off+1+2*4] + ai2 * b[b_off+2+2*4] + ai3 * b[b_off+3+2*4] );
+        d.put(dP+i+3*4 , ai0 * b[b_off+0+3*4] + ai1 * b[b_off+1+3*4] + ai2 * b[b_off+2+3*4] + ai3 * b[b_off+3+3*4] );
+     }
+  }
+
+  /**
+   * @param a
+   * @param b
+   * @param d result a*b
+   */
+  public static final void multMatrixf(final FloatBuffer a, final FloatBuffer b, FloatBuffer d) {
+     final int aP = a.position(); 
+     final int bP = b.position();
+     final int dP = d.position();
+     for (int i = 0; i < 4; i++) {
+        final float ai0=a.get(aP+i+0*4),  ai1=a.get(aP+i+1*4),  ai2=a.get(aP+i+2*4),  ai3=a.get(aP+i+3*4);
+        d.put(dP+i+0*4 , ai0 * b.get(bP+0+0*4) + ai1 * b.get(bP+1+0*4) + ai2 * b.get(bP+2+0*4) + ai3 * b.get(bP+3+0*4) );
+        d.put(dP+i+1*4 , ai0 * b.get(bP+0+1*4) + ai1 * b.get(bP+1+1*4) + ai2 * b.get(bP+2+1*4) + ai3 * b.get(bP+3+1*4) );
+        d.put(dP+i+2*4 , ai0 * b.get(bP+0+2*4) + ai1 * b.get(bP+1+2*4) + ai2 * b.get(bP+2+2*4) + ai3 * b.get(bP+3+2*4) );
+        d.put(dP+i+3*4 , ai0 * b.get(bP+0+3*4) + ai1 * b.get(bP+1+3*4) + ai2 * b.get(bP+2+3*4) + ai3 * b.get(bP+3+3*4) );
+     }
+  }
+  
+  
+  /**
+   * Normalize vector
+   *
+   * @param v makes len(v)==1
+   */
+  public static void normalize(float[] v) {
+    float r = (float) Math.sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2]);
+    
+    if ( r == 0.0 || r == 1.0) {
+      return;
+    }
+
+    r = 1.0f / r;
+
+    v[0] *= r;
+    v[1] *= r;
+    v[2] *= r;
+  }
+
+  /**
+   * Normalize vector
+   *
+   * @param v makes len(v)==1
+   */
+  public static void normalize(FloatBuffer v) {
+    final int vPos = v.position();
+
+    float r = (float) Math.sqrt(v.get(0+vPos) * v.get(0+vPos) +
+                                v.get(1+vPos) * v.get(1+vPos) +
+                                v.get(2+vPos) * v.get(2+vPos));
+    
+    if ( r == 0.0 || r == 1.0) {
+      return;
+    }
+
+    r = 1.0f / r;
+
+    v.put(0+vPos, v.get(0+vPos) * r);
+    v.put(1+vPos, v.get(1+vPos) * r);
+    v.put(2+vPos, v.get(2+vPos) * r);
+  }
+
+
+  /**
+   * Calculate cross-product
+   *
+   * @param v1
+   * @param v2
+   * @param result v1 X v2
+   */
+  public static void cross(float[] v1, float[] v2, float[] result) {
+    result[0] = v1[1] * v2[2] - v1[2] * v2[1];
+    result[1] = v1[2] * v2[0] - v1[0] * v2[2];
+    result[2] = v1[0] * v2[1] - v1[1] * v2[0];
+  }
+
+  /**
+   * Calculate cross-product
+   *
+   * @param v1
+   * @param v2
+   * @param result v1 X v2
+   */
+  public static void cross(FloatBuffer v1, FloatBuffer v2, FloatBuffer result) {
+    final int v1Pos = v1.position();
+    final int v2Pos = v2.position();
+    final int rPos  = result.position();
+
+    result.put(0+rPos, v1.get(1+v1Pos) * v2.get(2+v2Pos) - v1.get(2+v1Pos) * v2.get(1+v2Pos));
+    result.put(1+rPos, v1.get(2+v1Pos) * v2.get(0+v2Pos) - v1.get(0+v1Pos) * v2.get(2+v2Pos));
+    result.put(2+rPos, v1.get(0+v1Pos) * v2.get(1+v2Pos) - v1.get(1+v1Pos) * v2.get(0+v2Pos));
+  }
+
+  /**
+   * Method __gluMultMatrixVecf
+   * 
+   * @param m_in
+   * @param m_in_off
+   * @param v_in
+   * @param v_out m_in * v_in
+   */
+  public static void multMatrixVecf(float[] m_in, int m_in_off, float[] v_in, int v_in_off, float[] v_out) {
+    for (int i = 0; i < 4; i++) {
+      v_out[i] =
+        v_in[0+v_in_off] * m_in[0*4+i+m_in_off] +
+        v_in[1+v_in_off] * m_in[1*4+i+m_in_off] +
+        v_in[2+v_in_off] * m_in[2*4+i+m_in_off] +
+        v_in[3+v_in_off] * m_in[3*4+i+m_in_off];
+    }
+  }
+
+  /**
+   * Method __gluMultMatrixVecf
+   * 
+   * @param m_in
+   * @param m_in_off
+   * @param v_in
+   * @param v_out m_in * v_in
+   */
+  public static void multMatrixVecf(float[] m_in, float[] v_in, float[] v_out) {
+    for (int i = 0; i < 4; i++) {
+      v_out[i] =
+        v_in[0] * m_in[0*4+i] +
+        v_in[1] * m_in[1*4+i] +
+        v_in[2] * m_in[2*4+i] +
+        v_in[3] * m_in[3*4+i];
+    }
+  }
+  
+  /**
+   * Method __gluMultMatrixVecf
+   * 
+   * @param m_in
+   * @param v_in
+   * @param v_out m_in * v_in
+   */
+  public static void multMatrixVecf(FloatBuffer m_in, FloatBuffer v_in, FloatBuffer v_out) {
+    int inPos = v_in.position();
+    int outPos = v_out.position();
+    int matrixPos = m_in.position();
+    for (int i = 0; i < 4; i++) {
+      v_out.put(i + outPos,
+              v_in.get(0+inPos) * m_in.get(0*4+i+matrixPos) +
+              v_in.get(1+inPos) * m_in.get(1*4+i+matrixPos) +
+              v_in.get(2+inPos) * m_in.get(2*4+i+matrixPos) +
+              v_in.get(3+inPos) * m_in.get(3*4+i+matrixPos));
+    }
+  }
+
+  /**
+   * Slices a ByteBuffer or a primitive float array to a FloatBuffer at the given position with the given size
+   * in float-space.
+   * <p> 
+   * Using a ByteBuffer as the source guarantees 
+   * keeping the source native order programmatically.  
+   * This works around <a href="http://code.google.com/p/android/issues/detail?id=16434">Honeycomb / Android 3.0 Issue 16434</a>. 
+   * This bug is resolved at least in Android 3.2.
+   * </p>
+   * 
+   * @param buf source Buffer, maybe ByteBuffer (recommended) or FloatBuffer or <code>null</code>. 
+   *            Buffer's position is ignored and floatPos is being used.
+   * @param backing source float array or <code>null</code>
+   * @param floatPos {@link Buffers#SIZEOF_FLOAT} position
+   * @param floatSize {@link Buffers#SIZEOF_FLOAT} size 
+   * @return FloatBuffer w/ native byte order as given ByteBuffer
+   */
+  public static FloatBuffer slice2Float(Buffer buf, float[] backing, int floatPos, int floatSize) {
+        if(buf instanceof ByteBuffer) {
+            ByteBuffer bb = (ByteBuffer) buf;
+            bb.position( floatPos * Buffers.SIZEOF_FLOAT );
+            bb.limit( (floatPos + floatSize) * Buffers.SIZEOF_FLOAT );
+            FloatBuffer fb = bb.slice().order(bb.order()).asFloatBuffer(); // slice and duplicate may change byte order
+            fb.mark();
+            return fb;
+        } else if(null != backing) {
+            FloatBuffer fb  = FloatBuffer.wrap(backing, floatPos, floatSize);
+            fb.mark();
+            return fb;
+        } else if(buf instanceof FloatBuffer) {
+            FloatBuffer fb = (FloatBuffer) buf;
+            fb.position( floatPos );
+            fb.limit( floatPos + floatSize );
+            FloatBuffer fb0 = fb.slice(); // slice and duplicate may change byte order
+            fb0.mark();
+            return fb0;
+        } else {
+            throw new InternalError("XXX");
+        }
+  }
+  
+  public static final int getRequiredFloatBufferSize() { return 2*16+2*4+3*3; }
+  
+  // Note that we have cloned parts of the implementation in order to
+  // support incoming Buffers. The reason for this is to avoid loading
+  // non-direct buffer subclasses unnecessarily, because doing so can
+  // cause performance decreases on direct buffer operations, at least
+  // on the current HotSpot JVM. It would be nicer (and make the code
+  // simpler) to simply have the array-based entry points delegate to
+  // the versions taking Buffers by wrapping the arrays.
+
+  // Array-based implementation
+  private final float[] matrix = new float[16];
+  private final float[][] tempInvertMatrix = new float[4][4];
+
+  private final float[] in = new float[4];
+  private final float[] out = new float[4];
+
+  // Buffer-based implementation
+  private FloatBuffer matrixBuf;
+  private FloatBuffer tempInvertMatrixBuf;
+
+  private FloatBuffer inBuf;
+  private FloatBuffer outBuf;
+
+  private FloatBuffer forwardBuf;
+  private FloatBuffer sideBuf;
+  private FloatBuffer upBuf;
+
+  public ProjectFloat() {
+      this(false);
+  }
+  
+  public ProjectFloat(boolean useBackingArray) {
+      this(useBackingArray ? null : Buffers.newDirectByteBuffer(getRequiredFloatBufferSize() * Buffers.SIZEOF_FLOAT), 
+           useBackingArray ? new float[getRequiredFloatBufferSize()] : null, 
+           0);
+  }
+
+  /**
+   * @param floatBuffer source buffer, may be ByteBuffer (recommended) or FloatBuffer or <code>null</code>.
+   *                    If used, shall be &ge; {@link #getRequiredFloatBufferSize()} + floatOffset. 
+   *                    Buffer's position is ignored and floatPos is being used.
+   * @param floatArray source float array or <code>null</code>.
+   *                   If used, size shall be &ge; {@link #getRequiredFloatBufferSize()} + floatOffset.
+   * @param floatOffset Offset for either of the given sources (buffer or array)
+   */
+  public ProjectFloat(Buffer floatBuffer, float[] floatArray, int floatOffset) {    
+    int floatPos = floatOffset;
+    int floatSize = 16;
+    matrixBuf = slice2Float(floatBuffer, floatArray, floatPos, floatSize);
+    floatPos += floatSize;
+    tempInvertMatrixBuf = slice2Float(floatBuffer, floatArray, floatPos, floatSize);
+    floatPos += floatSize;
+    floatSize = 4;
+    inBuf = slice2Float(floatBuffer, floatArray, floatPos, floatSize);
+    floatPos += floatSize;
+    outBuf = slice2Float(floatBuffer, floatArray, floatPos, floatSize);
+    floatPos += floatSize;
+    floatSize = 3;
+    forwardBuf = slice2Float(floatBuffer, floatArray, floatPos, floatSize);
+    floatPos += floatSize;
+    sideBuf = slice2Float(floatBuffer, floatArray, floatPos, floatSize);
+    floatPos += floatSize;
+    upBuf = slice2Float(floatBuffer, floatArray, floatPos, floatSize);
+  }
+
+  public void destroy() {
+    matrixBuf = null;
+    tempInvertMatrixBuf = null;
+    inBuf = null;
+    outBuf = null;
+    forwardBuf = null;
+    sideBuf = null;
+    upBuf = null;
+  }
+
+  /**
+   * @param src
+   * @param srcOffset
+   * @param inverse
+   * @param inverseOffset
+   * @return
+   */
+  public boolean gluInvertMatrixf(float[] src, int srcOffset, float[] inverse, int inverseOffset) {
+    int i, j, k, swap;
+    float t;
+    float[][] temp = tempInvertMatrix;
+
+    for (i = 0; i < 4; i++) {
+      for (j = 0; j < 4; j++) {
+        temp[i][j] = src[i*4+j+srcOffset];
+      }
+    }
+    makeIdentityf(inverse, inverseOffset);
+
+    for (i = 0; i < 4; i++) {
+      //
+      // Look for largest element in column
+      //
+      swap = i;
+      for (j = i + 1; j < 4; j++) {
+        if (Math.abs(temp[j][i]) > Math.abs(temp[i][i])) {
+          swap = j;
+        }
+      }
+
+      if (swap != i) {
+        //
+        // Swap rows.
+        //
+        for (k = 0; k < 4; k++) {
+          t = temp[i][k];
+          temp[i][k] = temp[swap][k];
+          temp[swap][k] = t;
+
+          t = inverse[i*4+k+inverseOffset];
+          inverse[i*4+k+inverseOffset] = inverse[swap*4+k+inverseOffset];
+          inverse[swap*4+k+inverseOffset] = t;
+        }
+      }
+
+      if (temp[i][i] == 0) {
+        //
+        // No non-zero pivot. The matrix is singular, which shouldn't
+        // happen. This means the user gave us a bad matrix.
+        //
+        return false;
+      }
+
+      t = temp[i][i];
+      for (k = 0; k < 4; k++) {
+        temp[i][k] /= t;
+        inverse[i*4+k+inverseOffset] /= t;
+      }
+      for (j = 0; j < 4; j++) {
+        if (j != i) {
+          t = temp[j][i];
+          for (k = 0; k < 4; k++) {
+            temp[j][k] -= temp[i][k] * t;
+            inverse[j*4+k+inverseOffset] -= inverse[i*4+k+inverseOffset]*t;
+          }
+        }
+      }
+    }
+    return true;
+  }
+
+  /**
+   * @param src
+   * @param inverse
+   * 
+   * @return
+   */
+  public boolean gluInvertMatrixf(FloatBuffer src, FloatBuffer inverse) {
+    int i, j, k, swap;
+    float t;
+
+    int srcPos = src.position();
+    int invPos = inverse.position();
+
+    FloatBuffer temp = tempInvertMatrixBuf;
+
+    for (i = 0; i < 4; i++) {
+      for (j = 0; j < 4; j++) {
+        temp.put(i*4+j, src.get(i*4+j + srcPos));
+      }
+    }
+    makeIdentityf(inverse);
+
+    for (i = 0; i < 4; i++) {
+      //
+      // Look for largest element in column
+      //
+      swap = i;
+      for (j = i + 1; j < 4; j++) {
+        if (Math.abs(temp.get(j*4+i)) > Math.abs(temp.get(i*4+i))) {
+          swap = j;
+        }
+      }
+
+      if (swap != i) {
+        //
+        // Swap rows.
+        //
+        for (k = 0; k < 4; k++) {
+          t = temp.get(i*4+k);
+          temp.put(i*4+k, temp.get(swap*4+k));
+          temp.put(swap*4+k, t);
+
+          t = inverse.get(i*4+k + invPos);
+          inverse.put(i*4+k + invPos, inverse.get(swap*4+k + invPos));
+          inverse.put(swap*4+k + invPos, t);
+        }
+      }
+
+      if (temp.get(i*4+i) == 0) {
+        //
+        // No non-zero pivot. The matrix is singular, which shouldn't
+        // happen. This means the user gave us a bad matrix.
+        //
+        return false;
+      }
+
+      t = temp.get(i*4+i);
+      for (k = 0; k < 4; k++) {
+        temp.put(i*4+k, temp.get(i*4+k) / t);
+        inverse.put(i*4+k + invPos, inverse.get(i*4+k + invPos) / t);
+      }
+      for (j = 0; j < 4; j++) {
+        if (j != i) {
+          t = temp.get(j*4+i);
+          for (k = 0; k < 4; k++) {
+            temp.put(j*4+k, temp.get(j*4+k) - temp.get(i*4+k) * t);
+            inverse.put(j*4+k + invPos, inverse.get(j*4+k + invPos) - inverse.get(i*4+k + invPos) * t);
+          }
+        }
+      }
+    }
+    return true;
+  }
+
+
+  /**
+   * Method gluOrtho2D.
+   * 
+   * @param left
+   * @param right
+   * @param bottom
+   * @param top
+   */
+  public void gluOrtho2D(GLMatrixFunc gl, float left, float right, float bottom, float top) {
+    gl.glOrthof(left, right, bottom, top, -1, 1);
+  }
+
+  /**
+   * Method gluPerspective.
+   * 
+   * @param fovy
+   * @param aspect
+   * @param zNear
+   * @param zFar
+   */
+  public void gluPerspective(GLMatrixFunc gl, float fovy, float aspect, float zNear, float zFar) {
+    float sine, cotangent, deltaZ;
+    float radians = fovy / 2 * (float) Math.PI / 180;
+
+    deltaZ = zFar - zNear;
+    sine = (float) Math.sin(radians);
+
+    if ((deltaZ == 0) || (sine == 0) || (aspect == 0)) {
+      return;
+    }
+
+    cotangent = (float) Math.cos(radians) / sine;
+
+    makeIdentityf(matrixBuf);
+
+    matrixBuf.put(0 * 4 + 0, cotangent / aspect);
+    matrixBuf.put(1 * 4 + 1, cotangent);
+    matrixBuf.put(2 * 4 + 2, - (zFar + zNear) / deltaZ);
+    matrixBuf.put(2 * 4 + 3, -1);
+    matrixBuf.put(3 * 4 + 2, -2 * zNear * zFar / deltaZ);
+    matrixBuf.put(3 * 4 + 3, 0);
+
+    gl.glMultMatrixf(matrixBuf);
+  }
+
+  /**
+   * Method gluLookAt
+   * 
+   * @param eyex
+   * @param eyey
+   * @param eyez
+   * @param centerx
+   * @param centery
+   * @param centerz
+   * @param upx
+   * @param upy
+   * @param upz
+   */
+  public void gluLookAt(GLMatrixFunc gl,
+                        float eyex,
+                        float eyey,
+                        float eyez,
+                        float centerx,
+                        float centery,
+                        float centerz,
+                        float upx,
+                        float upy,
+                        float upz) {
+    FloatBuffer forward = this.forwardBuf;
+    FloatBuffer side = this.sideBuf;
+    FloatBuffer up = this.upBuf;
+
+    forward.put(0, centerx - eyex);
+    forward.put(1, centery - eyey);
+    forward.put(2, centerz - eyez);
+
+    up.put(0, upx);
+    up.put(1, upy);
+    up.put(2, upz);
+
+    normalize(forward);
+
+    /* Side = forward x up */
+    cross(forward, up, side);
+    normalize(side);
+
+    /* Recompute up as: up = side x forward */
+    cross(side, forward, up);
+
+    makeIdentityf(matrixBuf);
+    matrixBuf.put(0 * 4 + 0, side.get(0));
+    matrixBuf.put(1 * 4 + 0, side.get(1));
+    matrixBuf.put(2 * 4 + 0, side.get(2));
+
+    matrixBuf.put(0 * 4 + 1, up.get(0));
+    matrixBuf.put(1 * 4 + 1, up.get(1));
+    matrixBuf.put(2 * 4 + 1, up.get(2));
+
+    matrixBuf.put(0 * 4 + 2, -forward.get(0));
+    matrixBuf.put(1 * 4 + 2, -forward.get(1));
+    matrixBuf.put(2 * 4 + 2, -forward.get(2));
+
+    gl.glMultMatrixf(matrixBuf);
+    gl.glTranslatef(-eyex, -eyey, -eyez);
+  }
+
+  /**
+   * Method gluProject
+   * 
+   * @param objx
+   * @param objy
+   * @param objz
+   * @param modelMatrix
+   * @param projMatrix
+   * @param viewport
+   * @param win_pos
+   * 
+   * @return
+   */
+  public boolean gluProject(float objx,
+                            float objy,
+                            float objz,
+                            float[] modelMatrix,
+                            int modelMatrix_offset,
+                            float[] projMatrix,
+                            int projMatrix_offset,
+                            int[] viewport,
+                            int viewport_offset,
+                            float[] win_pos,
+                            int win_pos_offset ) {
+
+    float[] in = this.in;
+    float[] out = this.out;
+
+    in[0] = objx;
+    in[1] = objy;
+    in[2] = objz;
+    in[3] = 1.0f;
+
+    multMatrixVecf(modelMatrix, modelMatrix_offset, in, 0, out);
+    multMatrixVecf(projMatrix, projMatrix_offset, out, 0, in);
+
+    if (in[3] == 0.0f)
+      return false;
+
+    in[3] = (1.0f / in[3]) * 0.5f;
+
+    // Map x, y and z to range 0-1
+    in[0] = in[0] * in[3] + 0.5f;
+    in[1] = in[1] * in[3] + 0.5f;
+    in[2] = in[2] * in[3] + 0.5f;
+
+    // Map x,y to viewport
+    win_pos[0+win_pos_offset] = in[0] * viewport[2+viewport_offset] + viewport[0+viewport_offset];
+    win_pos[1+win_pos_offset] = in[1] * viewport[3+viewport_offset] + viewport[1+viewport_offset];
+    win_pos[2+win_pos_offset] = in[2];
+
+    return true;
+  }
+
+  /**
+   * Method gluProject
+   * 
+   * @param objx
+   * @param objy
+   * @param objz
+   * @param modelMatrix
+   * @param projMatrix
+   * @param viewport
+   * @param win_pos
+   * 
+   * @return
+   */
+  public boolean gluProject(float objx,
+                            float objy,
+                            float objz,
+                            FloatBuffer modelMatrix,
+                            FloatBuffer projMatrix,
+                            IntBuffer viewport,
+                            FloatBuffer win_pos) {
+
+    FloatBuffer in = this.inBuf;
+    FloatBuffer out = this.outBuf;
+
+    in.put(0, objx);
+    in.put(1, objy);
+    in.put(2, objz);
+    in.put(3, 1.0f);
+
+    multMatrixVecf(modelMatrix, in, out);
+    multMatrixVecf(projMatrix, out, in);
+
+    if (in.get(3) == 0.0f)
+      return false;
+
+    in.put(3, (1.0f / in.get(3)) * 0.5f);
+
+    // Map x, y and z to range 0-1
+    in.put(0, in.get(0) * in.get(3) + 0.5f);
+    in.put(1, in.get(1) * in.get(3) + 0.5f);
+    in.put(2, in.get(2) * in.get(3) + 0.5f);
+
+    // Map x,y to viewport
+    int vPos = viewport.position();
+    int wPos = win_pos.position();
+    win_pos.put(0+wPos, in.get(0) * viewport.get(2+vPos) + viewport.get(0+vPos));
+    win_pos.put(1+wPos, in.get(1) * viewport.get(3+vPos) + viewport.get(1+vPos));
+    win_pos.put(2+wPos, in.get(2));
+
+    return true;
+  }
+
+
+  /**
+   * Method gluUnproject
+   * 
+   * @param winx
+   * @param winy
+   * @param winz
+   * @param modelMatrix
+   * @param projMatrix
+   * @param viewport
+   * @param obj_pos
+   * 
+   * @return
+   */
+  public boolean gluUnProject(float winx,
+                              float winy,
+                              float winz,
+                              float[] modelMatrix,
+                              int modelMatrix_offset,
+                              float[] projMatrix,
+                              int projMatrix_offset,
+                              int[] viewport,
+                              int viewport_offset,
+                              float[] obj_pos,
+                              int obj_pos_offset) {
+    float[] in = this.in;
+    float[] out = this.out;
+
+    multMatrixf(modelMatrix, modelMatrix_offset, projMatrix, projMatrix_offset, matrix, 0);
+
+    if (!gluInvertMatrixf(matrix, 0, matrix, 0))
+      return false;
+
+    in[0] = winx;
+    in[1] = winy;
+    in[2] = winz;
+    in[3] = 1.0f;
+
+    // Map x and y from window coordinates
+    in[0] = (in[0] - viewport[0+viewport_offset]) / viewport[2+viewport_offset];
+    in[1] = (in[1] - viewport[1+viewport_offset]) / viewport[3+viewport_offset];
+
+    // Map to range -1 to 1
+    in[0] = in[0] * 2 - 1;
+    in[1] = in[1] * 2 - 1;
+    in[2] = in[2] * 2 - 1;
+
+    multMatrixVecf(matrix, in, out);
+
+    if (out[3] == 0.0)
+      return false;
+
+    out[3] = 1.0f / out[3];
+
+    obj_pos[0+obj_pos_offset] = out[0] * out[3];
+    obj_pos[1+obj_pos_offset] = out[1] * out[3];
+    obj_pos[2+obj_pos_offset] = out[2] * out[3];
+
+    return true;
+  }
+
+
+  /**
+   * Method gluUnproject
+   * 
+   * @param winx
+   * @param winy
+   * @param winz
+   * @param modelMatrix
+   * @param projMatrix
+   * @param viewport
+   * @param obj_pos
+   * 
+   * @return
+   */
+  public boolean gluUnProject(float winx,
+                              float winy,
+                              float winz,
+                              FloatBuffer modelMatrix,
+                              FloatBuffer projMatrix,
+                              IntBuffer viewport,
+                              FloatBuffer obj_pos) {
+    FloatBuffer in = this.inBuf;
+    FloatBuffer out = this.outBuf;
+
+    multMatrixf(modelMatrix, projMatrix, matrixBuf);
+
+    if (!gluInvertMatrixf(matrixBuf, matrixBuf))
+      return false;
+
+    in.put(0, winx);
+    in.put(1, winy);
+    in.put(2, winz);
+    in.put(3, 1.0f);
+
+    // Map x and y from window coordinates
+    int vPos = viewport.position();
+    int oPos = obj_pos.position();
+    in.put(0, (in.get(0) - viewport.get(0+vPos)) / viewport.get(2+vPos));
+    in.put(1, (in.get(1) - viewport.get(1+vPos)) / viewport.get(3+vPos));
+
+    // Map to range -1 to 1
+    in.put(0, in.get(0) * 2 - 1);
+    in.put(1, in.get(1) * 2 - 1);
+    in.put(2, in.get(2) * 2 - 1);
+
+    multMatrixVecf(matrixBuf, in, out);
+
+    if (out.get(3) == 0.0f)
+      return false;
+
+    out.put(3, 1.0f / out.get(3));
+
+    obj_pos.put(0+oPos, out.get(0) * out.get(3));
+    obj_pos.put(1+oPos, out.get(1) * out.get(3));
+    obj_pos.put(2+oPos, out.get(2) * out.get(3));
+
+    return true;
+  }
+
+
+  /**
+   * Method gluUnproject4
+   * 
+   * @param winx
+   * @param winy
+   * @param winz
+   * @param clipw
+   * @param modelMatrix
+   * @param projMatrix
+   * @param viewport
+   * @param near
+   * @param far
+   * @param obj_pos
+   * 
+   * @return
+   */
+  public boolean gluUnProject4(float winx,
+                               float winy,
+                               float winz,
+                               float clipw,
+                               float[] modelMatrix,
+                               int modelMatrix_offset,
+                               float[] projMatrix,
+                               int projMatrix_offset,
+                               int[] viewport,
+                               int viewport_offset,
+                               float near,
+                               float far,
+                               float[] obj_pos,
+                               int obj_pos_offset ) {
+    float[] in = this.in;
+    float[] out = this.out;
+
+    multMatrixf(modelMatrix, modelMatrix_offset, projMatrix, projMatrix_offset, matrix, 0);
+
+    if (!gluInvertMatrixf(matrix, 0, matrix, 0))
+      return false;
+
+    in[0] = winx;
+    in[1] = winy;
+    in[2] = winz;
+    in[3] = clipw;
+
+    // Map x and y from window coordinates
+    in[0] = (in[0] - viewport[0+viewport_offset]) / viewport[2+viewport_offset];
+    in[1] = (in[1] - viewport[1+viewport_offset]) / viewport[3+viewport_offset];
+    in[2] = (in[2] - near) / (far - near);
+
+    // Map to range -1 to 1
+    in[0] = in[0] * 2 - 1;
+    in[1] = in[1] * 2 - 1;
+    in[2] = in[2] * 2 - 1;
+
+    multMatrixVecf(matrix, in, out);
+
+    if (out[3] == 0.0f)
+      return false;
+
+    obj_pos[0+obj_pos_offset] = out[0];
+    obj_pos[1+obj_pos_offset] = out[1];
+    obj_pos[2+obj_pos_offset] = out[2];
+    obj_pos[3+obj_pos_offset] = out[3];
+    return true;
+  }
+
+  /**
+   * Method gluUnproject4
+   * 
+   * @param winx
+   * @param winy
+   * @param winz
+   * @param clipw
+   * @param modelMatrix
+   * @param projMatrix
+   * @param viewport
+   * @param near
+   * @param far
+   * @param obj_pos
+   * 
+   * @return
+   */
+  public boolean gluUnProject4(float winx,
+                               float winy,
+                               float winz,
+                               float clipw,
+                               FloatBuffer modelMatrix,
+                               FloatBuffer projMatrix,
+                               IntBuffer viewport,
+                               float near,
+                               float far,
+                               FloatBuffer obj_pos) {
+    FloatBuffer in = this.inBuf;
+    FloatBuffer out = this.outBuf;
+
+    multMatrixf(modelMatrix, projMatrix, matrixBuf);
+
+    if (!gluInvertMatrixf(matrixBuf, matrixBuf))
+      return false;
+
+    in.put(0, winx);
+    in.put(1, winy);
+    in.put(2, winz);
+    in.put(3, clipw);
+
+    // Map x and y from window coordinates
+    int vPos = viewport.position();
+    in.put(0, (in.get(0) - viewport.get(0+vPos)) / viewport.get(2+vPos));
+    in.put(1, (in.get(1) - viewport.get(1+vPos)) / viewport.get(3+vPos));
+    in.put(2, (in.get(2) - near) / (far - near));
+
+    // Map to range -1 to 1
+    in.put(0, in.get(0) * 2 - 1);
+    in.put(1, in.get(1) * 2 - 1);
+    in.put(2, in.get(2) * 2 - 1);
+
+    multMatrixVecf(matrixBuf, in, out);
+
+    if (out.get(3) == 0.0f)
+      return false;
+
+    int oPos = obj_pos.position();
+    obj_pos.put(0+oPos, out.get(0));
+    obj_pos.put(1+oPos, out.get(1));
+    obj_pos.put(2+oPos, out.get(2));
+    obj_pos.put(3+oPos, out.get(3));
+    return true;
+  }
+
+
+  /**
+   * Method gluPickMatrix
+   * 
+   * @param x
+   * @param y
+   * @param deltaX
+   * @param deltaY
+   * @param viewport
+   */
+  public void gluPickMatrix(GLMatrixFunc gl,
+                            float x,
+                            float y,
+                            float deltaX,
+                            float deltaY,
+                            IntBuffer viewport) {
+    if (deltaX <= 0 || deltaY <= 0) {
+      return;
+    }
+
+    /* Translate and scale the picked region to the entire window */
+    int vPos = viewport.position();
+    gl.glTranslatef((viewport.get(2+vPos) - 2 * (x - viewport.get(0+vPos))) / deltaX,
+                    (viewport.get(3+vPos) - 2 * (y - viewport.get(1+vPos))) / deltaY,
+                    0);
+    gl.glScalef(viewport.get(2) / deltaX, viewport.get(3) / deltaY, 1.0f);
+  }
+
+  /**
+   * Method gluPickMatrix
+   * 
+   * @param x
+   * @param y
+   * @param deltaX
+   * @param deltaY
+   * @param viewport
+   * @param viewport_offset
+   */
+  public void gluPickMatrix(GLMatrixFunc gl,
+                            float x,
+                            float y,
+                            float deltaX,
+                            float deltaY,
+                            int[] viewport,
+                            int viewport_offset) {
+    if (deltaX <= 0 || deltaY <= 0) {
+      return;
+    }
+
+    /* Translate and scale the picked region to the entire window */
+    gl.glTranslatef((viewport[2+viewport_offset] - 2 * (x - viewport[0+viewport_offset])) / deltaX,
+                    (viewport[3+viewport_offset] - 2 * (y - viewport[1+viewport_offset])) / deltaY,
+                    0);
+    gl.glScalef(viewport[2+viewport_offset] / deltaX, viewport[3+viewport_offset] / deltaY, 1.0f);
+  }
+
+}