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1: /* Fixed.java -- Fixed-point arithmetics for TrueType coordinates. 2: Copyright (C) 2006 Free Software Foundation, Inc. 3: 4: This file is part of GNU Classpath. 5: 6: GNU Classpath is free software; you can redistribute it and/or modify 7: it under the terms of the GNU General Public License as published by 8: the Free Software Foundation; either version 2, or (at your option) 9: any later version. 10: 11: GNU Classpath is distributed in the hope that it will be useful, but 12: WITHOUT ANY WARRANTY; without even the implied warranty of 13: MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 14: General Public License for more details. 15: 16: You should have received a copy of the GNU General Public License 17: along with GNU Classpath; see the file COPYING. If not, write to the 18: Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 19: 02110-1301 USA. 20: 21: Linking this library statically or dynamically with other modules is 22: making a combined work based on this library. Thus, the terms and 23: conditions of the GNU General Public License cover the whole 24: combination. 25: 26: As a special exception, the copyright holders of this library give you 27: permission to link this library with independent modules to produce an 28: executable, regardless of the license terms of these independent 29: modules, and to copy and distribute the resulting executable under 30: terms of your choice, provided that you also meet, for each linked 31: independent module, the terms and conditions of the license of that 32: module. An independent module is a module which is not derived from 33: or based on this library. If you modify this library, you may extend 34: this exception to your version of the library, but you are not 35: obligated to do so. If you do not wish to do so, delete this 36: exception statement from your version. */ 37: 38: 39: package gnu.java.awt.font.opentype.truetype; 40: 41: import gnu.java.lang.CPStringBuilder; 42: 43: /** 44: * A utility class for fixed-point arithmetics, where numbers are 45: * represented with 26 dot 6 digits. This representation is used by 46: * TrueType coordinates. 47: * 48: * <p>A good compiler will inline calls of methods in this class. 49: * 50: * @author Sascha Brawer (brawer@dandelis.ch) 51: */ 52: public final class Fixed 53: { 54: public static final int ONE = 1<<6; 55: 56: 57: /** 58: * The constructor is private so nobody can use it. 59: */ 60: private Fixed() 61: { 62: } 63: 64: 65: /** 66: * Multiplies two fixed-point numbers. 67: */ 68: public static int mul(int a, int b) 69: { 70: return (int) ((((long) a) * b) >> 6); 71: } 72: 73: public static int mul16(int a, int b) 74: { 75: return (int) ((((long) a) * b) >> 16); 76: } 77: 78: public static int div(int a, int b) 79: { 80: return (int) ((((long) a) << 6) / b); 81: } 82: 83: public static int div16(int a, int b) 84: { 85: return (int) ((((long) a) << 16) / b); 86: } 87: 88: public static int ceil(int a) 89: { 90: return (a + 63) & -64; 91: } 92: 93: 94: public static int floor(int a) 95: { 96: return a & -64; 97: } 98: 99: 100: /** 101: * Calculates the length of a fixed-point vector. 102: */ 103: public static int vectorLength(int x, int y) 104: { 105: int shift; 106: float fx, fy; 107: 108: if (x == 0) 109: return Math.abs(y); 110: else if (y == 0) 111: return Math.abs(x); 112: 113: /* Use the FPU. */ 114: fx = ((float) x) / 64.0f; 115: fy = ((float) y) / 64.0f; 116: return (int) (Math.sqrt(fx * fx + fy * fy) * 64.0); 117: } 118: 119: 120: public static int intValue(int f) 121: { 122: return f >> 6; 123: } 124: 125: 126: public static float floatValue(int f) 127: { 128: return ((float) f) / 64; 129: } 130: public static float floatValue16(int f) 131: { 132: return ((float) f) / 65536; 133: } 134: 135: public static double doubleValue(int f) 136: { 137: return ((double) f) / 64; 138: } 139: 140: 141: public static int valueOf(float f) 142: { 143: return (int) (f * 64); 144: } 145: 146: 147: public static int valueOf(double d) 148: { 149: return (int) (d * 64); 150: } 151: 152: public static int valueOf16(double d) 153: { 154: return (int) (d * (1 << 16)); 155: } 156: 157: /** 158: * Makes a string representation of a fixed-point number. 159: */ 160: public static String toString(int f) 161: { 162: return String.valueOf(floatValue(f)); 163: } 164: 165: 166: public static String toString(int x, int y) 167: { 168: CPStringBuilder sbuf = new CPStringBuilder(40); 169: sbuf.append('('); 170: sbuf.append(((float) x) / 64); 171: sbuf.append(", "); 172: sbuf.append(((float) y) / 64); 173: sbuf.append(')'); 174: return sbuf.toString(); 175: } 176: }