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Diffstat (limited to 'src/net/java/joglutils/msg/math/Mat3f.java')
-rw-r--r-- | src/net/java/joglutils/msg/math/Mat3f.java | 191 |
1 files changed, 191 insertions, 0 deletions
diff --git a/src/net/java/joglutils/msg/math/Mat3f.java b/src/net/java/joglutils/msg/math/Mat3f.java new file mode 100644 index 0000000..976699f --- /dev/null +++ b/src/net/java/joglutils/msg/math/Mat3f.java @@ -0,0 +1,191 @@ +/* + * Copyright (c) 2007 Sun Microsystems, Inc. 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 net.java.joglutils.msg.math; + +/** 3x3 matrix class useful for simple linear algebra. Representation + is (as Mat4f) in row major order and assumes multiplication by + column vectors on the right. */ + +public class Mat3f { + private float[] data; + + /** Creates new matrix initialized to the zero matrix */ + public Mat3f() { + data = new float[9]; + } + + /** Initialize to the identity matrix. */ + public void makeIdent() { + for (int i = 0; i < 3; i++) { + for (int j = 0; j < 3; j++) { + if (i == j) { + set(i, j, 1.0f); + } else { + set(i, j, 0.0f); + } + } + } + } + + /** Gets the (i,j)th element of this matrix, where i is the row + index and j is the column index */ + public float get(int i, int j) { + return data[3 * i + j]; + } + + /** Sets the (i,j)th element of this matrix, where i is the row + index and j is the column index */ + public void set(int i, int j, float val) { + data[3 * i + j] = val; + } + + /** Set column i (i=[0..2]) to vector v. */ + public void setCol(int i, Vec3f v) { + set(0, i, v.x()); + set(1, i, v.y()); + set(2, i, v.z()); + } + + /** Set row i (i=[0..2]) to vector v. */ + public void setRow(int i, Vec3f v) { + set(i, 0, v.x()); + set(i, 1, v.y()); + set(i, 2, v.z()); + } + + /** Transpose this matrix in place. */ + public void transpose() { + float t; + t = get(0, 1); + set(0, 1, get(1, 0)); + set(1, 0, t); + + t = get(0, 2); + set(0, 2, get(2, 0)); + set(2, 0, t); + + t = get(1, 2); + set(1, 2, get(2, 1)); + set(2, 1, t); + } + + /** Return the determinant. Computed across the zeroth row. */ + public float determinant() { + return (get(0, 0) * (get(1, 1) * get(2, 2) - get(2, 1) * get(1, 2)) + + get(0, 1) * (get(2, 0) * get(1, 2) - get(1, 0) * get(2, 2)) + + get(0, 2) * (get(1, 0) * get(2, 1) - get(2, 0) * get(1, 1))); + } + + /** Full matrix inversion in place. If matrix is singular, throws + SingularMatrixException. If you know the matrix is orthonormal, + you can call transpose() instead. */ + public void invert() throws SingularMatrixException { + float det = determinant(); + if (det == 0.0f) + throw new SingularMatrixException(); + + // Form cofactor matrix + Mat3f cf = new Mat3f(); + cf.set(0, 0, get(1, 1) * get(2, 2) - get(2, 1) * get(1, 2)); + cf.set(0, 1, get(2, 0) * get(1, 2) - get(1, 0) * get(2, 2)); + cf.set(0, 2, get(1, 0) * get(2, 1) - get(2, 0) * get(1, 1)); + cf.set(1, 0, get(2, 1) * get(0, 2) - get(0, 1) * get(2, 2)); + cf.set(1, 1, get(0, 0) * get(2, 2) - get(2, 0) * get(0, 2)); + cf.set(1, 2, get(2, 0) * get(0, 1) - get(0, 0) * get(2, 1)); + cf.set(2, 0, get(0, 1) * get(1, 2) - get(1, 1) * get(0, 2)); + cf.set(2, 1, get(1, 0) * get(0, 2) - get(0, 0) * get(1, 2)); + cf.set(2, 2, get(0, 0) * get(1, 1) - get(1, 0) * get(0, 1)); + + // Now copy back transposed + for (int i = 0; i < 3; i++) + for (int j = 0; j < 3; j++) + set(i, j, cf.get(j, i) / det); + } + + /** Multiply a 3D vector by this matrix. NOTE: src and dest must be + different vectors. */ + public void xformVec(Vec3f src, Vec3f dest) { + dest.set(get(0, 0) * src.x() + + get(0, 1) * src.y() + + get(0, 2) * src.z(), + + get(1, 0) * src.x() + + get(1, 1) * src.y() + + get(1, 2) * src.z(), + + get(2, 0) * src.x() + + get(2, 1) * src.y() + + get(2, 2) * src.z()); + } + + /** Returns this * b; creates new matrix */ + public Mat3f mul(Mat3f b) { + Mat3f tmp = new Mat3f(); + tmp.mul(this, b); + return tmp; + } + + /** this = a * b */ + public void mul(Mat3f a, Mat3f b) { + for (int rc = 0; rc < 3; rc++) + for (int cc = 0; cc < 3; cc++) { + float tmp = 0.0f; + for (int i = 0; i < 3; i++) + tmp += a.get(rc, i) * b.get(i, cc); + set(rc, cc, tmp); + } + } + + public Matf toMatf() { + Matf out = new Matf(3, 3); + for (int i = 0; i < 3; i++) { + for (int j = 0; j < 3; j++) { + out.set(i, j, get(i, j)); + } + } + return out; + } + + public String toString() { + String endl = System.getProperty("line.separator"); + return "(" + + get(0, 0) + ", " + get(0, 1) + ", " + get(0, 2) + endl + + get(1, 0) + ", " + get(1, 1) + ", " + get(1, 2) + endl + + get(2, 0) + ", " + get(2, 1) + ", " + get(2, 2) + ")"; + } +} |