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+/* Fixed.java -- Fixed-point arithmetics for TrueType coordinates.
+ Copyright (C) 2006 Free Software Foundation, Inc.
+
+This file is part of GNU Classpath.
+
+GNU Classpath 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, or (at your option)
+any later version.
+
+GNU Classpath 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 GNU Classpath; see the file COPYING. If not, write to the
+Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301 USA.
+
+Linking this library statically or dynamically with other modules is
+making a combined work based on this library. Thus, the terms and
+conditions of the GNU General Public License cover the whole
+combination.
+
+As a special exception, the copyright holders of this library give you
+permission to link this library with independent modules to produce an
+executable, regardless of the license terms of these independent
+modules, and to copy and distribute the resulting executable under
+terms of your choice, provided that you also meet, for each linked
+independent module, the terms and conditions of the license of that
+module. An independent module is a module which is not derived from
+or based on this library. If you modify this library, you may extend
+this exception to your version of the library, but you are not
+obligated to do so. If you do not wish to do so, delete this
+exception statement from your version. */
+
+
+package gnu.java.awt.font.opentype.truetype;
+
+import gnu.java.lang.CPStringBuilder;
+
+/**
+ * A utility class for fixed-point arithmetics, where numbers are
+ * represented with 26 dot 6 digits. This representation is used by
+ * TrueType coordinates.
+ *
+ * <p>A good compiler will inline calls of methods in this class.
+ *
+ * @author Sascha Brawer (brawer@dandelis.ch)
+ */
+public final class Fixed
+{
+ public static final int ONE = 1<<6;
+
+
+ /**
+ * The constructor is private so nobody can use it.
+ */
+ private Fixed()
+ {
+ }
+
+
+ /**
+ * Multiplies two fixed-point numbers.
+ */
+ public static int mul(int a, int b)
+ {
+ return (int) ((((long) a) * b) >> 6);
+ }
+
+ public static int mul16(int a, int b)
+ {
+ return (int) ((((long) a) * b) >> 16);
+ }
+
+ public static int div(int a, int b)
+ {
+ return (int) ((((long) a) << 6) / b);
+ }
+
+ public static int div16(int a, int b)
+ {
+ return (int) ((((long) a) << 16) / b);
+ }
+
+ public static int ceil(int a)
+ {
+ return (a + 63) & -64;
+ }
+
+
+ public static int floor(int a)
+ {
+ return a & -64;
+ }
+
+
+ /**
+ * Calculates the length of a fixed-point vector.
+ */
+ public static int vectorLength(int x, int y)
+ {
+ int shift;
+ float fx, fy;
+
+ if (x == 0)
+ return Math.abs(y);
+ else if (y == 0)
+ return Math.abs(x);
+
+ /* Use the FPU. */
+ fx = ((float) x) / 64.0f;
+ fy = ((float) y) / 64.0f;
+ return (int) (Math.sqrt(fx * fx + fy * fy) * 64.0);
+ }
+
+
+ public static int intValue(int f)
+ {
+ return f >> 6;
+ }
+
+
+ public static float floatValue(int f)
+ {
+ return ((float) f) / 64;
+ }
+ public static float floatValue16(int f)
+ {
+ return ((float) f) / 65536;
+ }
+
+ public static double doubleValue(int f)
+ {
+ return ((double) f) / 64;
+ }
+
+
+ public static int valueOf(float f)
+ {
+ return (int) (f * 64);
+ }
+
+
+ public static int valueOf(double d)
+ {
+ return (int) (d * 64);
+ }
+
+ public static int valueOf16(double d)
+ {
+ return (int) (d * (1 << 16));
+ }
+
+ /**
+ * Makes a string representation of a fixed-point number.
+ */
+ public static String toString(int f)
+ {
+ return String.valueOf(floatValue(f));
+ }
+
+
+ public static String toString(int x, int y)
+ {
+ CPStringBuilder sbuf = new CPStringBuilder(40);
+ sbuf.append('(');
+ sbuf.append(((float) x) / 64);
+ sbuf.append(", ");
+ sbuf.append(((float) y) / 64);
+ sbuf.append(')');
+ return sbuf.toString();
+ }
+}