/* * Jalview - A Sequence Alignment Editor and Viewer (Version 2.8.0b1) * Copyright (C) 2014 The Jalview Authors * * This file is part of Jalview. * * Jalview 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 3 of the License, or (at your option) any later version. * * Jalview 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 Jalview. If not, see . * The Jalview Authors are detailed in the 'AUTHORS' file. */ package jalview.math; /** * DOCUMENT ME! * * @author $author$ * @version $Revision$ */ public class RotatableMatrix { float[][] matrix; float[] temp; float[][] rot; /** * Creates a new RotatableMatrix object. * * @param rows * DOCUMENT ME! * @param cols * DOCUMENT ME! */ public RotatableMatrix(int rows, int cols) { matrix = new float[rows][cols]; temp = new float[3]; rot = new float[3][3]; } /** * DOCUMENT ME! * * @param i * DOCUMENT ME! * @param j * DOCUMENT ME! * @param value * DOCUMENT ME! */ public void addElement(int i, int j, float value) { matrix[i][j] = value; } /** * DOCUMENT ME! */ 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]); } /** * DOCUMENT ME! * * @param degrees * DOCUMENT ME! * @param axis * DOCUMENT ME! */ 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); } } /** * DOCUMENT ME! * * @param vect * DOCUMENT ME! * * @return DOCUMENT ME! */ 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; } /** * DOCUMENT ME! * * @param mat * DOCUMENT ME! */ 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]; } } } /** * DOCUMENT ME! * * @param mat * DOCUMENT ME! */ 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]; } } } /** * DOCUMENT ME! * * @param args * DOCUMENT ME! */ 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]); } /** * DOCUMENT ME! */ 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; } }