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+/*************************************************************************
+ *
+ * $RCSfile: mcvmath.hxx,v $
+ *
+ * $Revision: 1.1.1.1 $
+ *
+ * last change: $Author: hr $ $Date: 2000-09-18 16:58:58 $
+ *
+ * The Contents of this file are made available subject to the terms of
+ * either of the following licenses
+ *
+ * - GNU Lesser General Public License Version 2.1
+ * - Sun Industry Standards Source License Version 1.1
+ *
+ * Sun Microsystems Inc., October, 2000
+ *
+ * GNU Lesser General Public License Version 2.1
+ * =============================================
+ * Copyright 2000 by Sun Microsystems, Inc.
+ * 901 San Antonio Road, Palo Alto, CA 94303, USA
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License version 2.1, as published by the Free Software Foundation.
+ *
+ * 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
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this library; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place, Suite 330, Boston,
+ * MA 02111-1307 USA
+ *
+ *
+ * Sun Industry Standards Source License Version 1.1
+ * =================================================
+ * The contents of this file are subject to the Sun Industry Standards
+ * Source License Version 1.1 (the "License"); You may not use this file
+ * except in compliance with the License. You may obtain a copy of the
+ * License at http://www.openoffice.org/license.html.
+ *
+ * Software provided under this License is provided on an "AS IS" basis,
+ * WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING,
+ * WITHOUT LIMITATION, WARRANTIES THAT THE SOFTWARE IS FREE OF DEFECTS,
+ * MERCHANTABLE, FIT FOR A PARTICULAR PURPOSE, OR NON-INFRINGING.
+ * See the License for the specific provisions governing your rights and
+ * obligations concerning the Software.
+ *
+ * The Initial Developer of the Original Code is: Sun Microsystems, Inc.
+ *
+ * Copyright: 2000 by Sun Microsystems, Inc.
+ *
+ * All Rights Reserved.
+ *
+ * Contributor(s): _______________________________________
+ *
+ *
+ ************************************************************************/
+
+#ifndef _MCVMATH_HXX
+#define _MCVMATH_HXX
+
+#ifndef _SOLAR_H
+#include <tools/solar.h>
+#endif
+
+class FixCpx;
+class ColWheel;
+
+// No of fractal bits
+// allowed range 0..14, must be even
+#define FIX_POST 14
+
+// scale for ...Big() -Functions
+#if (FIX_POST>=4)
+#define FIX_P2 4
+#define FIX_P3 (FIX_POST-FIX_P2)
+#else
+#define FIX_P2 0
+#define FIX_P3 FIX_POST
+#endif
+
+#if (FIX_POST>=1)
+#define FIX_ADD (1<<(FIX_POST-1))
+#else
+#define FIX_ADD 0
+#endif
+
+#if (FIX_P2>=1)
+#define FIX_A2 (1<<(FIX_P2-1))
+#else
+#define FIX_A2 0
+#endif
+
+#if (FIX_P3>=1)
+#define FIX_A3 (1<<(FIX_P3-1))
+#else
+#define FIX_A3 0
+#endif
+
+// -------
+// - Fix -
+// -------
+
+class Fix
+{
+private:
+ friend FixCpx;
+ friend ColWheel;
+
+// friend Fix ImpMultBig2( const Fix& a, const Fix& b );
+
+public:
+ long x;
+
+public:
+ Fix() { x=0; }
+ Fix( int i ) { x=(long(i)<<FIX_POST); }
+ Fix( short l ) { x=(long(l)<<FIX_POST); }
+ Fix( USHORT l ) { x=(long(l)<<FIX_POST); }
+ Fix( long l ) { x=(l<<FIX_POST); }
+ Fix( long Z, long N ) { x=(Z<<FIX_POST)/N; }
+
+ void SetInternVal( long nVal ) { x=nVal; }
+ long GetInternVal() const { return x; }
+
+ void operator+= ( const Fix& a ) { x+=a.x; }
+ void operator-= ( const Fix& a ) { x-=a.x; }
+ void operator*= ( const Fix& a ) { x=(x*a.x+FIX_ADD)>>FIX_POST; }
+ void operator/= ( const Fix& a ) { x=(x<<FIX_POST)/a.x; }
+ friend Fix operator- ( const Fix& a );
+
+ void MultBig( const Fix& a )
+ { x=((((a.x+FIX_A2)>>FIX_P2)*x+FIX_A3)>>FIX_P3); }
+ void DivBig( const Fix& a )
+ { x=((x<<FIX_P3)/a.x)<<FIX_P2; }
+
+ friend BOOL operator> ( const Fix& a, const Fix& b ) { return a.x > b.x; }
+ friend BOOL operator< ( const Fix& a, const Fix& b ) { return a.x < b.x; }
+
+ operator long() const { return (x+FIX_ADD) >> FIX_POST; }
+ operator double() const { return double(x)/(1<<FIX_POST); }
+
+ friend Fix operator+ ( const Fix& a, const Fix& b );
+ friend Fix operator- ( const Fix& a, const Fix& b );
+ friend Fix operator* ( const Fix& a, const Fix& b );
+ friend Fix operator/ ( const Fix& a, const Fix& b );
+
+ friend FixCpx operator-( const FixCpx& a );
+};
+
+// ----------
+// - FixCpx -
+// ----------
+
+class FixCpx
+{
+// friend FixCpx ImpMultBig2( const FixCpx& ra, const FixCpx& rb );
+
+public:
+ Fix r;
+ Fix i;
+
+public:
+ FixCpx() : r(), i() {}
+ FixCpx( Fix a ) : r( a ), i() {}
+ FixCpx( Fix a, Fix b ) : r( a ), i( b ) {}
+
+ Fix& GetReal() { return r; }
+ Fix& GetImag() { return i; }
+
+ void operator*= ( const FixCpx& ra );
+ void MultBig( const FixCpx& ra, const FixCpx& rb );
+
+ friend FixCpx operator+ ( const FixCpx& a, const FixCpx& b );
+ friend FixCpx operator- ( const FixCpx& a, const FixCpx& b );
+ friend FixCpx operator* ( const FixCpx& a, const FixCpx& b );
+ friend FixCpx operator/ ( const FixCpx& a, const FixCpx& b );
+ friend FixCpx operator- ( const FixCpx& a );
+};
+
+inline Fix operator- ( const Fix& a )
+{
+ Fix f;
+ f.x = -a.x;
+ return f;
+}
+
+inline Fix operator+ ( const Fix& a, const Fix& b )
+{
+ long l = a.x+b.x;
+ return *((Fix*)&l);
+}
+
+inline Fix operator- ( const Fix& a, const Fix& b )
+{
+ long l = a.x-b.x;
+ return *((Fix*)&l);
+}
+
+inline Fix operator* ( const Fix& a, const Fix& b )
+{
+ long l=(a.x*b.x+FIX_ADD)>>FIX_POST;
+ return *((Fix*)&l);
+}
+
+inline Fix operator/ ( const Fix& a, const Fix& b )
+{
+ long l=(a.x<<FIX_POST)/b.x;
+ return *((Fix*)&l);
+}
+
+inline FixCpx operator- ( const FixCpx& a )
+{
+ FixCpx fc;
+
+ fc.r.x = -a.r.x;
+ fc.i.x = -a.i.x;
+ return fc;
+}
+
+inline FixCpx operator+ ( const FixCpx& a, const FixCpx& b )
+{
+ return FixCpx( a.r+b.r, a.i+b.i );
+}
+
+inline FixCpx operator- ( const FixCpx& a, const FixCpx& b )
+{
+ return FixCpx( a.r-b.r, a.i-b.i );
+}
+
+inline void FixCpx::operator*= ( const FixCpx& ra )
+{
+ Fix rr = ra.r*r-ra.i*i;
+ i = ra.r*i+ra.i*r;
+ r = rr;
+}
+
+inline FixCpx operator* ( const FixCpx& a, const FixCpx& b )
+{
+ return FixCpx( a.r*b.r-a.i*b.i, a.r*b.i+a.i*b.r );
+}
+
+inline FixCpx operator/ ( const FixCpx& a, const FixCpx& b )
+{
+ return FixCpx( (a.r*b.r+a.i*b.i)/(b.r*b.r+b.i*b.i),
+ (b.r*a.r-a.r*b.i)/(b.r*b.r+b.i*b.i) );
+}
+
+// -----------------------------------------------------------------------
+
+Fix ImpMultBig2( const Fix& a, const Fix& b );
+FixCpx ImpMultBig2( const FixCpx& ra, const FixCpx& rb );
+
+void ImpCartToPolar( const short x, const short y, Fix& rRad, USHORT& rPhi );
+void ImpPolarToCart( const Fix& rR, const USHORT Phi, short& rX, short& rY );
+
+USHORT ImpSqrt( ULONG nRadi );
+USHORT ImpATan2( const short x, const short y );
+FixCpx ImpExPI( USHORT nPhi );
+
+#endif // _MCVMATH_HXX
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