/* * Jalview - A Sequence Alignment Editor and Viewer * Copyright (C) 2005 AM Waterhouse, J Procter, G Barton, M Clamp, S Searle * * This program is free software; you can redistribute it and/or * modify it under the terms of the GNU General Public License * as published by the Free Software Foundation; either version 2 * of the License, or (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA */ package jalview.math; public class RotatableMatrix { float matrix[][]; float[] temp; float[][] rot; public RotatableMatrix(int rows, int cols) { matrix = new float[rows][cols]; temp = new float[3]; rot = new float[3][3]; } public void addElement(int i, int j, float value) { matrix[i][j] = value; } public void print() { System.out.println(matrix[0][0] + " " + matrix[0][1] + " " + matrix[0][2]); System.out.println(matrix[1][0] + " " + matrix[1][1] + " " + matrix[1][2]); System.out.println(matrix[2][0] + " " + matrix[2][1] + " " + matrix[2][2]); } public void rotate (float degrees, char axis) { float costheta = (float)Math.cos(degrees*Math.PI/(float)180.0); float sintheta = (float)Math.sin(degrees*Math.PI/(float)180.0); if (axis == 'z') { rot[0][0] = (float)costheta; rot[0][1] = (float)-sintheta; rot[0][2] = (float)0.0; rot[1][0] = (float)sintheta; rot[1][1] = (float)costheta; rot[1][2] = (float)0.0; rot[2][0] = (float)0.0; rot[2][1] = (float)0.0; rot[2][2] = (float)1.0; preMultiply(rot); } if (axis == 'x') { rot[0][0] = (float)1.0; rot[0][1] = (float)0.0; rot[0][2] = (float)0.0; rot[1][0] = (float)0.0; rot[1][1] = (float)costheta; rot[1][2] = (float)sintheta; rot[2][0] = (float)0.0; rot[2][1] = (float)-sintheta; rot[2][2] = (float)costheta; preMultiply(rot); } if (axis == 'y') { rot[0][0] = (float)costheta; rot[0][1] = (float)0.0; rot[0][2] = (float)-sintheta; rot[1][0] = (float)0.0; rot[1][1] = (float)1.0; rot[1][2] = (float)0.0; rot[2][0] = (float)sintheta; rot[2][1] = (float)0.0; rot[2][2] = (float)costheta; preMultiply(rot); } } public float[] vectorMultiply(float[] vect) { temp[0] = vect[0]; temp[1] = vect[1]; temp[2] = vect[2]; for (int i = 0; i < 3; i++) { temp[i] = matrix[i][0]*vect[0] + matrix[i][1]*vect[1] + matrix[i][2]*vect[2]; } vect[0] = temp[0]; vect[1] = temp[1]; vect[2] = temp[2]; return vect; } public void preMultiply(float mat[][]) { float tmp[][] = new float[3][3]; for (int i = 0; i < 3 ; i++) { for (int j = 0; j < 3; j++ ) { tmp[i][j] = mat[i][0]*matrix[0][j] + mat[i][1]*matrix[1][j] + mat[i][2]*matrix[2][j]; } } for (int i = 0; i < 3 ; i++) { for (int j = 0; j < 3; j++ ) { matrix[i][j] = tmp[i][j]; } } } public void postMultiply(float mat[][]) { float tmp[][] = new float[3][3]; for (int i = 0; i < 3 ; i++) { for (int j = 0; j < 3; j++ ) { tmp[i][j] = matrix[i][0]*mat[0][j] + matrix[i][1]*mat[1][j] + matrix[i][2]*mat[2][j]; } } for (int i = 0; i < 3 ; i++) { for (int j = 0; j < 3; j++ ) { matrix[i][j] = tmp[i][j]; } } } public static void main(String[] args) { RotatableMatrix m = new RotatableMatrix(3,3); m.addElement(0,0,1); m.addElement(0,1,0); m.addElement(0,2,0); m.addElement(1,0,0); m.addElement(1,1,2); m.addElement(1,2,0); m.addElement(2,0,0); m.addElement(2,1,0); m.addElement(2,2,1); m.print(); RotatableMatrix n = new RotatableMatrix(3,3); n.addElement(0,0,2); n.addElement(0,1,1); n.addElement(0,2,1); n.addElement(1,0,2); n.addElement(1,1,1); n.addElement(1,2,1); n.addElement(2,0,2); n.addElement(2,1,1); n.addElement(2,2,1); n.print(); //m.postMultiply(n.matrix); //m.print(); // m.rotate(45,'z',new RotatableMatrix(3,3)); float vect[] = new float[3]; vect[0] = 2; vect[1] = 4; vect[2] = 6; vect = m.vectorMultiply(vect); System.out.println(vect[0] + " " + vect[1] + " " + vect[2]); } public void setIdentity() { matrix[0][0] = (float)1.0; matrix[1][1] = (float)1.0; matrix[2][2] = (float)1.0; matrix[0][1] = (float)0.0; matrix[0][2] = (float)0.0; matrix[1][0] = (float)0.0; matrix[1][2] = (float) 0.0; matrix[2][0] = (float)0.0; matrix[2][1] = (float)0.0; } }