/** * 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. *

* Implementation assumes linear matrix layout in column-major order * matching OpenGL's implementation. *

*

* Derived from ProjectFloat.java - Created 11-jan-2004 *

* * @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)); } } }