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/* Fixed.java -- Fixed-point arithmetics for TrueType coordinates.
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Copyright (C) 2006 Free Software Foundation, Inc.
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This file is part of GNU Classpath.
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GNU Classpath is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2, or (at your option)
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GNU Classpath is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with GNU Classpath; see the file COPYING. If not, write to the
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Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
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Linking this library statically or dynamically with other modules is
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making a combined work based on this library. Thus, the terms and
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conditions of the GNU General Public License cover the whole
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As a special exception, the copyright holders of this library give you
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permission to link this library with independent modules to produce an
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executable, regardless of the license terms of these independent
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modules, and to copy and distribute the resulting executable under
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terms of your choice, provided that you also meet, for each linked
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independent module, the terms and conditions of the license of that
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module. An independent module is a module which is not derived from
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or based on this library. If you modify this library, you may extend
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this exception to your version of the library, but you are not
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obligated to do so. If you do not wish to do so, delete this
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exception statement from your version. */
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package gnu.java.awt.font.opentype.truetype;
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* A utility class for fixed-point arithmetics, where numbers are
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* represented with 26 dot 6 digits. This representation is used by
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* TrueType coordinates.
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* <p>A good compiler will inline calls of methods in this class.
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* @author Sascha Brawer (brawer@dandelis.ch)
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public static final int ONE = 1<<6;
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* The constructor is private so nobody can use it.
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* Multiplies two fixed-point numbers.
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public static int mul(int a, int b)
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return (int) ((((long) a) * b) >> 6);
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public static int div(int a, int b)
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return (int) ((((long) a) << 6) / b);
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public static int ceil(int a)
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return (a + 63) & -64;
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public static int floor(int a)
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* Calculates the length of a fixed-point vector.
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public static int vectorLength(int x, int y)
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fx = ((float) x) / 64.0f;
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fy = ((float) y) / 64.0f;
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return (int) (Math.sqrt(fx * fx + fy * fy) * 64.0);
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public static int intValue(int f)
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public static float floatValue(int f)
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return ((float) f) / 64;
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public static double doubleValue(int f)
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return ((double) f) / 64;
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public static int valueOf(float f)
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return (int) (f * 64);
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public static int valueOf(double d)
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return (int) (d * 64);
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* Makes a string representation of a fixed-point number.
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public static String toString(int f)
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return String.valueOf(floatValue(f));
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public static String toString(int x, int y)
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StringBuffer sbuf = new StringBuffer(40);
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sbuf.append(((float) x) / 64);
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sbuf.append(((float) y) / 64);
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return sbuf.toString();