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Diffstat (limited to 'src/gleem/linalg/Mat3f.java')
-rw-r--r-- | src/gleem/linalg/Mat3f.java | 194 |
1 files changed, 194 insertions, 0 deletions
diff --git a/src/gleem/linalg/Mat3f.java b/src/gleem/linalg/Mat3f.java new file mode 100644 index 0000000..024df82 --- /dev/null +++ b/src/gleem/linalg/Mat3f.java @@ -0,0 +1,194 @@ +/* + * gleem -- OpenGL Extremely Easy-To-Use Manipulators. + * Copyright (C) 1998-2003 Kenneth B. Russell ([email protected]) + * + * Copying, distribution and use of this software in source and binary + * forms, with or without modification, is permitted provided that the + * following conditions are met: + * + * Distributions of source code must reproduce the copyright notice, + * this list of conditions and the following disclaimer in the source + * code header files; and Distributions of binary code must reproduce + * the copyright notice, this list of conditions and the following + * disclaimer in the documentation, Read me file, license file and/or + * other materials provided with the software distribution. + * + * The names of Sun Microsystems, Inc. ("Sun") and/or the copyright + * holder may not 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, NON-INTERFERENCE, ACCURACY OF + * INFORMATIONAL CONTENT OR NON-INFRINGEMENT, ARE HEREBY EXCLUDED. THE + * COPYRIGHT HOLDER, SUN AND SUN'S 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 THE + * COPYRIGHT HOLDER, SUN OR SUN'S 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 ADVISED OF THE POSSIBILITY + * OF SUCH DAMAGES. YOU ACKNOWLEDGE THAT THIS SOFTWARE IS NOT + * DESIGNED, LICENSED OR INTENDED FOR USE IN THE DESIGN, CONSTRUCTION, + * OPERATION OR MAINTENANCE OF ANY NUCLEAR FACILITY. THE COPYRIGHT + * HOLDER, SUN AND SUN'S LICENSORS DISCLAIM ANY EXPRESS OR IMPLIED + * WARRANTY OF FITNESS FOR SUCH USES. + */ + +package gleem.linalg; + +/** 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, returns + false and matrix contents are untouched. If you know the matrix + is orthonormal, you can call transpose() instead. */ + public boolean invert() { + float det = determinant(); + if (det == 0.0f) + return false; + + // 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); + return true; + } + + /** 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) + ")"; + } +} |