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authorkergoth <kergoth>2002-01-25 22:14:26 (UTC)
committer kergoth <kergoth>2002-01-25 22:14:26 (UTC)
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+/**********************************************************************
+** Copyright (C) 2000 Trolltech AS. All rights reserved.
+**
+** This file is part of Qtopia Environment.
+**
+** This file may be distributed and/or modified under the terms of the
+** GNU General Public License version 2 as published by the Free Software
+** Foundation and appearing in the file LICENSE.GPL included in the
+** packaging of this file.
+**
+** This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
+** WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
+**
+** See http://www.trolltech.com/gpl/ for GPL licensing information.
+**
+** Contact info@trolltech.com if any conditions of this licensing are
+** not clear to you.
+**
+**********************************************************************/
+
+#include <math.h>
+#include <float.h>
+#include "qmath.h"
+
+#ifdef QT_QWS_CASSIOPEIA
+
+double qFabs( double a )
+{
+ if ( a < 0.0 )
+ return -a;
+ return a;
+}
+
+double qSqrt( double value )
+{
+ const double tol = 0.000005; // relative error tolerance
+ double old_app, new_app;
+ if (value == 0.0)
+ return 0.0;
+ old_app = value; // take value as first approximation
+ new_app = (old_app + value/old_app)/2;
+ while (qFabs((new_app-old_app)/new_app) > tol)
+ {
+ old_app = new_app;
+ new_app = (old_app + value/old_app)/2;
+ }
+
+ return new_app;
+}
+
+const double Q_PI = 3.14159265358979323846; // pi
+const double Q_2PI = 6.28318530717958647693; // 2*pi
+const double Q_PI2 = 1.57079632679489661923; // pi/2
+
+static double qsincos( double a, int calcCos )
+{
+ int sign;
+ double a2;
+ double a3;
+ double a5;
+ double a7;
+ double a9;
+ double a11;
+
+ if ( calcCos ) // calculate cosine
+ a -= Q_PI2;
+ if ( a >= Q_2PI || a <= -Q_2PI ) { // fix range: -2*pi < a < 2*pi
+ int m = (int)(a/Q_2PI);
+ a -= Q_2PI*m;
+ }
+ if ( a < 0.0 ) // 0 <= a < 2*pi
+ a += Q_2PI;
+ sign = a > Q_PI ? -1 : 1;
+ if ( a >= Q_PI )
+ a = Q_2PI - a;
+ if ( a >= Q_PI2 )
+ a = Q_PI - a;
+ if ( calcCos )
+ sign = -sign;
+ a2 = a*a; // here: 0 <= a < pi/4
+ a3 = a2*a; // make taylor sin sum
+ a5 = a3*a2;
+ a7 = a5*a2;
+ a9 = a7*a2;
+ a11 = a9*a2;
+ return (a-a3/6+a5/120-a7/5040+a9/362880-a11/39916800)*sign;
+}
+
+double qSin( double a ) { return qsincos(a,0); }
+double qCos( double a ) { return qsincos(a,1); }
+
+//atan2 returns values from -PI to PI, so we have to do the same
+double qATan2( double y, double x )
+{
+ double r;
+ if ( x != 0.0 ) {
+ double a = qFabs(y/x);
+ if ( a <= 1 )
+ r = a/(1+ 0.28*a*a);
+ else
+ r = Q_PI2 - a/(a*a + 0.28);
+ } else {
+ r = Q_PI2;
+ }
+
+ if ( y >= 0.0 ) {
+ if ( x >= 0.0 )
+ return r;
+ else
+ return Q_PI - r;
+ } else {
+ if ( x >= 0.0 )
+ return 0.0 - r;
+ else
+ return -Q_PI + r;
+ }
+}
+
+double qATan( double a )
+{
+ return qATan2( a, 1.0 );
+}
+
+double qASin( double a )
+{
+ return qATan2( a, qSqrt(1-a*a) );
+}
+
+double qTan( double a )
+{
+ double ca = qCos(a);
+ if ( ca != 0.0 )
+ return qSin( a ) / ca;
+
+ return MAXDOUBLE;
+}
+
+double qFloor( double a )
+{
+ long i = (long) a;
+ return (double) i;
+}
+
+#else
+
+double qSqrt( double value ) { return sqrt( value ); }
+double qSin( double a ) { return sin(a); }
+double qCos( double a ) { return cos(a); }
+double qATan2( double y, double x ) { return atan2(y,x); }
+double qATan( double a ) { return atan(a); }
+double qASin( double a ) { return asin(a); }
+double qTan( double a ) { return tan(a); }
+double qFloor( double a ) { return floor(a); }
+double qFabs( double a ) { return fabs(a); }
+
+#endif
+