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Diffstat (limited to 'src/gleem/linalg/Mat4f.java')
-rw-r--r-- | src/gleem/linalg/Mat4f.java | 265 |
1 files changed, 265 insertions, 0 deletions
diff --git a/src/gleem/linalg/Mat4f.java b/src/gleem/linalg/Mat4f.java new file mode 100644 index 0000000..ed16cc6 --- /dev/null +++ b/src/gleem/linalg/Mat4f.java @@ -0,0 +1,265 @@ +/* + * 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; + +/** A (very incomplete) 4x4 matrix class. Representation assumes + multiplication by column vectors on the right. */ + +public class Mat4f { + private float[] data; + + /** Creates new matrix initialized to the zero matrix */ + public Mat4f() { + data = new float[16]; + } + + /** Creates new matrix initialized to argument's contents */ + public Mat4f(Mat4f arg) { + this(); + set(arg); + } + + /** Sets this matrix to the identity matrix */ + public void makeIdent() { + for (int i = 0; i < 4; i++) { + for (int j = 0; j < 4; j++) { + if (i == j) { + set(i, j, 1.0f); + } else { + set(i, j, 0.0f); + } + } + } + } + + /** Sets this matrix to be equivalent to the given one */ + public void set(Mat4f arg) { + float[] mine = data; + float[] yours = arg.data; + for (int i = 0; i < mine.length; i++) { + mine[i] = yours[i]; + } + } + + /** 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[4 * 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[4 * i + j] = val; + } + + /** Sets the translation component of this matrix (i.e., the three + top elements of the third column) without touching any of the + other parts of the matrix */ + public void setTranslation(Vec3f trans) { + set(0, 3, trans.x()); + set(1, 3, trans.y()); + set(2, 3, trans.z()); + } + + /** Sets the rotation component of this matrix (i.e., the upper left + 3x3) without touching any of the other parts of the matrix */ + public void setRotation(Rotf rot) { + rot.toMatrix(this); + } + + /** Sets the upper-left 3x3 of this matrix assuming that the given + x, y, and z vectors form an orthonormal basis */ + public void setRotation(Vec3f x, Vec3f y, Vec3f z) { + set(0, 0, x.x()); + set(1, 0, x.y()); + set(2, 0, x.z()); + + set(0, 1, y.x()); + set(1, 1, y.y()); + set(2, 1, y.z()); + + set(0, 2, z.x()); + set(1, 2, z.y()); + set(2, 2, z.z()); + } + + /** Gets the upper left 3x3 of this matrix as a rotation. Currently + does not work if there are scales. Ignores translation + component. */ + public void getRotation(Rotf rot) { + rot.fromMatrix(this); + } + + /** Sets the elements (0, 0), (1, 1), and (2, 2) with the + appropriate elements of the given three-dimensional scale + vector. Does not perform a full multiplication of the upper-left + 3x3; use this with an identity matrix in conjunction with + <code>mul</code> for that. */ + public void setScale(Vec3f scale) { + set(0, 0, scale.x()); + set(1, 1, scale.y()); + set(2, 2, scale.z()); + } + + /** Inverts this matrix assuming that it represents a rigid + transform (i.e., some combination of rotations and + translations). Assumes column vectors. Algorithm: transposes + upper left 3x3; negates translation in rightmost column and + transforms by inverted rotation. */ + public void invertRigid() { + float t; + // Transpose upper left 3x3 + 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); + // Transform negative translation by this + Vec3f negTrans = new Vec3f(-get(0, 3), -get(1, 3), -get(2, 3)); + Vec3f trans = new Vec3f(); + xformDir(negTrans, trans); + set(0, 3, trans.x()); + set(1, 3, trans.y()); + set(2, 3, trans.z()); + } + + /** Returns this * b; creates new matrix */ + public Mat4f mul(Mat4f b) { + Mat4f tmp = new Mat4f(); + tmp.mul(this, b); + return tmp; + } + + /** this = a * b */ + public void mul(Mat4f a, Mat4f b) { + for (int rc = 0; rc < 4; rc++) + for (int cc = 0; cc < 4; cc++) { + float tmp = 0.0f; + for (int i = 0; i < 4; i++) + tmp += a.get(rc, i) * b.get(i, cc); + set(rc, cc, tmp); + } + } + + /** Transpose this matrix in place. */ + public void transpose() { + float t; + for (int i = 0; i < 4; i++) { + for (int j = 0; j < i; j++) { + t = get(i, j); + set(i, j, get(j, i)); + set(j, i, t); + } + } + } + + /** Multiply a 4D vector by this matrix. NOTE: src and dest must be + different vectors. */ + public void xformVec(Vec4f src, Vec4f dest) { + for (int rc = 0; rc < 4; rc++) { + float tmp = 0.0f; + for (int cc = 0; cc < 4; cc++) { + tmp += get(rc, cc) * src.get(cc); + } + dest.set(rc, tmp); + } + } + + /** Transforms a 3D vector as though it had a homogeneous coordinate + and assuming that this matrix represents only rigid + transformations; i.e., is not a full transformation. NOTE: src + and dest must be different vectors. */ + public void xformPt(Vec3f src, Vec3f dest) { + for (int rc = 0; rc < 3; rc++) { + float tmp = 0.0f; + for (int cc = 0; cc < 3; cc++) { + tmp += get(rc, cc) * src.get(cc); + } + tmp += get(rc, 3); + dest.set(rc, tmp); + } + } + + /** Transforms src using only the upper left 3x3. NOTE: src and dest + must be different vectors. */ + public void xformDir(Vec3f src, Vec3f dest) { + for (int rc = 0; rc < 3; rc++) { + float tmp = 0.0f; + for (int cc = 0; cc < 3; cc++) { + tmp += get(rc, cc) * src.get(cc); + } + dest.set(rc, tmp); + } + } + + /** Copies data in column-major (OpenGL format) order into passed + float array, which must have length 16 or greater. */ + public void getColumnMajorData(float[] out) { + for (int i = 0; i < 4; i++) { + for (int j = 0; j < 4; j++) { + out[4 * j + i] = get(i, j); + } + } + } + + public Matf toMatf() { + Matf out = new Matf(4, 4); + for (int i = 0; i < 4; i++) { + for (int j = 0; j < 4; 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) + ", " + get(0, 3) + endl + + get(1, 0) + ", " + get(1, 1) + ", " + get(1, 2) + ", " + get(1, 3) + endl + + get(2, 0) + ", " + get(2, 1) + ", " + get(2, 2) + ", " + get(2, 3) + endl + + get(3, 0) + ", " + get(3, 1) + ", " + get(3, 2) + ", " + get(3, 3) + ")"; + } +} |