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/**
* Copyright 2010 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:
*
* 1. Redistributions of source code must retain the above copyright notice, this list of
* conditions and the following disclaimer.
*
* 2. 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.
*
* THIS SOFTWARE IS PROVIDED BY JogAmp Community ``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 JogAmp Community 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.
*
* The views and conclusions contained in the software and documentation are those of the
* authors and should not be interpreted as representing official policies, either expressed
* or implied, of JogAmp Community.
*/
package com.jogamp.opengl;
import java.nio.FloatBuffer;
/**
* Basic Float math utility functions.
* <p>
* Implementation assumes linear matrix layout in column-major order
* matching OpenGL's implementation.
* </p>
* <p>
* Derived from ProjectFloat.java - Created 11-jan-2004
* </p>
*
* @author Erik Duijs
* @author Kenneth Russell
* @author Sven Gothel
*/
public class FloatUtil {
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 final 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 final void makeIdentityf(FloatBuffer m) {
int oldPos = m.position();
m.put(IDENTITY_MATRIX);
m.position(oldPos);
}
/**
* Make matrix an zero matrix
*/
public static final void makeZero(float[] m, int offset) {
for (int i = 0; i < 16; i++) {
m[i+offset] = 0;
}
}
/**
* Make matrix an zero matrix
*/
public static final void makeZero(FloatBuffer m) {
int oldPos = m.position();
m.put(ZERO_MATRIX);
m.position(oldPos);
}
/**
* @param a 4x4 matrix in column-major order
* @param b 4x4 matrix in column-major order
* @param d result a*b in column-major order
*/
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++) {
// one row in column-major order
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]; // row-i of a
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 4x4 matrix in column-major order
* @param b 4x4 matrix in column-major order
* @param d result a*b in column-major order
*/
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++) {
// one row in column-major order
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]; // row-i of a
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 4x4 matrix in column-major order
* @param b 4x4 matrix in column-major order
* @param d result a*b in column-major order
*/
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++) {
// one row in column-major order
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); // row-i of a
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 4x4 matrix in column-major order
* @param b 4x4 matrix in column-major order
* @param d result a*b in column-major order
*/
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++) {
// one row in column-major order
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); // row-i of a
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 final 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 final 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 of 2 vector
*
* @param v1 3-component vector
* @param v2 3-component vector
* @param result v1 X v2
*/
public static final 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 of 2 vector
*
* @param v1 3-component vector
* @param v2 3-component vector
* @param result v1 X v2
*/
public static final 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));
}
/**
* @param m_in 4x4 matrix in column-major order
* @param m_in_off
* @param v_in 4-component column-vector
* @param v_out m_in * v_in
*/
public static final 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++) {
// (one matrix row in column-major order) X (column vector)
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];
}
}
/**
* @param m_in 4x4 matrix in column-major order
* @param m_in_off
* @param v_in 4-component column-vector
* @param v_out m_in * v_in
*/
public static final void multMatrixVecf(float[] m_in, float[] v_in, float[] v_out) {
for (int i = 0; i < 4; i++) {
// (one matrix row in column-major order) X (column vector)
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];
}
}
/**
* @param m_in 4x4 matrix in column-major order
* @param v_in 4-component column-vector
* @param v_out m_in * v_in
*/
public static final 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++) {
// (one matrix row in column-major order) X (column vector)
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));
}
}
}
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