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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: 42: /** 43: * A utility class for fixed-point arithmetics, where numbers are 44: * represented with 26 dot 6 digits. This representation is used by 45: * TrueType coordinates. 46: * 47: * <p>A good compiler will inline calls of methods in this class. 48: * 49: * @author Sascha Brawer (brawer@dandelis.ch) 50: */ 51: public final class Fixed 52: { 53: public static final int ONE = 1<<6; 54: 55: 56: /** 57: * The constructor is private so nobody can use it. 58: */ 59: private Fixed() 60: { 61: } 62: 63: 64: /** 65: * Multiplies two fixed-point numbers. 66: */ 67: public static int mul(int a, int b) 68: { 69: return (int) ((((long) a) * b) >> 6); 70: } 71: 72: public static int mul16(int a, int b) 73: { 74: return (int) ((((long) a) * b) >> 16); 75: } 76: 77: public static int div(int a, int b) 78: { 79: return (int) ((((long) a) << 6) / b); 80: } 81: 82: public static int div16(int a, int b) 83: { 84: return (int) ((((long) a) << 16) / b); 85: } 86: 87: public static int ceil(int a) 88: { 89: return (a + 63) & -64; 90: } 91: 92: 93: public static int floor(int a) 94: { 95: return a & -64; 96: } 97: 98: 99: /** 100: * Calculates the length of a fixed-point vector. 101: */ 102: public static int vectorLength(int x, int y) 103: { 104: int shift; 105: float fx, fy; 106: 107: if (x == 0) 108: return Math.abs(y); 109: else if (y == 0) 110: return Math.abs(x); 111: 112: /* Use the FPU. */ 113: fx = ((float) x) / 64.0f; 114: fy = ((float) y) / 64.0f; 115: return (int) (Math.sqrt(fx * fx + fy * fy) * 64.0); 116: } 117: 118: 119: public static int intValue(int f) 120: { 121: return f >> 6; 122: } 123: 124: 125: public static float floatValue(int f) 126: { 127: return ((float) f) / 64; 128: } 129: public static float floatValue16(int f) 130: { 131: return ((float) f) / 65536; 132: } 133: 134: public static double doubleValue(int f) 135: { 136: return ((double) f) / 64; 137: } 138: 139: 140: public static int valueOf(float f) 141: { 142: return (int) (f * 64); 143: } 144: 145: 146: public static int valueOf(double d) 147: { 148: return (int) (d * 64); 149: } 150: 151: public static int valueOf16(double d) 152: { 153: return (int) (d * (1 << 16)); 154: } 155: 156: /** 157: * Makes a string representation of a fixed-point number. 158: */ 159: public static String toString(int f) 160: { 161: return String.valueOf(floatValue(f)); 162: } 163: 164: 165: public static String toString(int x, int y) 166: { 167: StringBuffer sbuf = new StringBuffer(40); 168: sbuf.append('('); 169: sbuf.append(((float) x) / 64); 170: sbuf.append(", "); 171: sbuf.append(((float) y) / 64); 172: sbuf.append(')'); 173: return sbuf.toString(); 174: } 175: }