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-rw-r--r--karbon/core/vglobal.cpp90
1 files changed, 90 insertions, 0 deletions
diff --git a/karbon/core/vglobal.cpp b/karbon/core/vglobal.cpp
new file mode 100644
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--- /dev/null
+++ b/karbon/core/vglobal.cpp
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+/* This file is part of the KDE project
+ Copyright (C) 2001, The Karbon Developers
+ Copyright (C) 2002, The Karbon Developers
+
+ This library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public
+ License as published by the Free Software Foundation; either
+ version 2 of the License, or (at your option) any later version.
+
+ This library 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
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public License
+ along with this library; see the file COPYING.LIB. If not, write to
+ the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+ * Boston, MA 02110-1301, USA.
+*/
+
+
+#include <math.h>
+
+#include "vglobal.h"
+
+
+int
+VGlobal::binomialCoeff( unsigned n, unsigned k )
+{
+ return
+ static_cast<int>(
+ 0.5 +
+ exp(
+ factorialLn( n ) -
+ factorialLn( k ) -
+ factorialLn( n - k ) ) );
+}
+
+double
+VGlobal::factorialLn( unsigned n )
+{
+ const unsigned cacheSize = 100;
+
+ // A static array is initalized to zero.
+ static double cache[ cacheSize ];
+
+
+ if( n <= 1 )
+ return 0.0;
+
+ if( n <= cacheSize - 1 )
+ {
+ return cache[ n ]
+ ? cache[ n ]
+ : ( cache[ n ] = gammaLn( n + 1.0 ) );
+ }
+ else
+ {
+ return gammaLn( n + 1.0 );
+ }
+}
+
+double
+VGlobal::gammaLn( double x )
+{
+ static double coeff[ 6 ] =
+ {
+ 76.18009172947146,
+ -86.50532032941677,
+ 24.01409824083091,
+ -1.231739572450155,
+ 0.1208650973866179e-2,
+ -0.5395239384953e-5
+ };
+
+ double y = x;
+
+ double tmp = x + 5.5;
+ tmp -= ( x + 0.5 ) * log( tmp );
+
+ double ser = 1.000000000190015;
+
+ for( int i = 0; i < 5; ++i )
+ {
+ ser += coeff[ i ] / ++y;
+ }
+
+ return -tmp + log( 2.5066282746310005 * ser / x );
+}
+