xref: /trunk/main/basegfx/inc/basegfx/numeric/ftools.hxx (revision c2aa6762603290a3bb12637f1cdccb182d5b89fb)

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 *
 * Licensed to the Apache Software Foundation (ASF) under one
 * or more contributor license agreements.  See the NOTICE file
 * distributed with this work for additional information
 * regarding copyright ownership.  The ASF licenses this file
 * to you under the Apache License, Version 2.0 (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.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing,
 * software distributed under the License is distributed on an
 * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
 * KIND, either express or implied.  See the License for the
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#ifndef _BGFX_NUMERIC_FTOOLS_HXX
#define _BGFX_NUMERIC_FTOOLS_HXX

#include <rtl/math.hxx>
#include <basegfx/basegfxdllapi.h>

//////////////////////////////////////////////////////////////////////////////
// standard PI defines from solar.h, but we do not want to link against tools

#ifndef F_PI
#define F_PI        M_PI
#endif
#ifndef F_PI2
#define F_PI2       M_PI_2
#endif
#ifndef F_PI4
#define F_PI4       M_PI_4
#endif
#ifndef F_PI180
#define F_PI180     (M_PI/180.0)
#endif
#ifndef F_PI1800
#define F_PI1800    (M_PI/1800.0)
#endif
#ifndef F_PI18000
#define F_PI18000   (M_PI/18000.0)
#endif
#ifndef F_2PI
#define F_2PI       (2.0*M_PI)
#endif

//////////////////////////////////////////////////////////////////////////////
// fTools defines

namespace basegfx
{
    /** Round double to nearest integer

        @return the nearest integer
    */
    inline sal_Int32 fround( double fVal )
    {
        return fVal > 0.0 ? static_cast<sal_Int32>( fVal + .5 ) : -static_cast<sal_Int32>( -fVal + .5 );
    }

    /** Round double to nearest integer

        @return the nearest 64 bit integer
    */
    inline sal_Int64 fround64( double fVal )
    {
        return fVal > 0.0 ? static_cast<sal_Int64>( fVal + .5 ) : -static_cast<sal_Int64>( -fVal + .5 );
    }

    /** Prune a small epsilon range around zero.

        Use this method e.g. for calculating scale values. There, it
        is usually advisable not to set a scaling to 0.0, because that
        yields singular transformation matrices.

        @param fVal
        An arbitrary, but finite and valid number

        @return either fVal, or a small value slightly above (when
        fVal>0) or below (when fVal<0) zero.
     */
    inline double pruneScaleValue( double fVal )
    {
        // old version used ::std::min/max, but this collides if min is defined as preprocessor
        // macro which is the case e.g with windows.h headers. The simplest way to avoid this is to
        // just use the full comparison. I keep the original here, maybe there will be a better
        // solution some day.
        //
        //return fVal < 0.0 ?
        //  (::std::min(fVal,-0.00001)) :
        //  (::std::max(fVal,0.00001));

        if(fVal < 0.0)
            return (fVal < -0.00001 ? fVal : -0.00001);
        else
            return (fVal > 0.00001 ? fVal : 0.00001);
    }

    /** clamp given value against given minimum and maximum values
    */
    template <class T> inline const T& clamp(const T& value, const T& minimum, const T& maximum)
    {
        if(value < minimum)
        {
            return minimum;
        }
        else if(value > maximum)
        {
            return maximum;
        }
        else
        {
            return value;
        }
    }

    /** Convert value from degrees to radians
     */
    inline double deg2rad( double v )
    {
        // divide first, to get exact values for v being a multiple of
        // 90 degrees
        return v / 90.0 * M_PI_2;
    }

    /** Convert value radians to degrees
     */
    inline double rad2deg( double v )
    {
        // divide first, to get exact values for v being a multiple of
        // pi/2
        return v / M_PI_2 * 90.0;
    }

    /** Snap v to nearest multiple of fStep, from negative and
        positive side.

        Examples:

        snapToNearestMultiple(-0.1, 0.5) = 0.0
        snapToNearestMultiple(0.1, 0.5) = 0.0
        snapToNearestMultiple(0.25, 0.5) = 0.0
        snapToNearestMultiple(0.26, 0.5) = 0.5
     */
    BASEGFX_DLLPUBLIC double snapToNearestMultiple(double v, const double fStep);

    /** Snap v to the range [0.0 .. fWidth] using modulo
     */
    BASEGFX_DLLPUBLIC double snapToZeroRange(double v, double fWidth);

    /** Snap v to the range [fLow .. fHigh] using modulo
     */
    BASEGFX_DLLPUBLIC double snapToRange(double v, double fLow, double fHigh);

    /** return fValue with the sign of fSignCarrier, thus evtl. changed
    */
    inline double copySign(double fValue, double fSignCarrier)
    {
#ifdef WNT
        return _copysign(fValue, fSignCarrier);
#else
        return copysign(fValue, fSignCarrier);
#endif
    }

    class BASEGFX_DLLPUBLIC fTools
    {
        // Threshold value for equalZero()
        static double                                   mfSmallValue;

    public:
        // Get threshold value for equalZero and friends
        static double getSmallValue() { return mfSmallValue; }
        // Set threshold value for equalZero and friends
        static void setSmallValue(const double& rfNew) { mfSmallValue = rfNew; }

        // Compare against small value
        static bool equalZero(const double& rfVal)
        {
            return (fabs(rfVal) <= getSmallValue());
        }

        // Compare against given small value
        static bool equalZero(const double& rfVal, const double& rfSmallValue)
        {
            return (fabs(rfVal) <= rfSmallValue);
        }

        static bool equal(const double& rfValA, const double& rfValB)
        {
            // changed to approxEqual usage for better numerical correctness
            return rtl::math::approxEqual(rfValA, rfValB);
        }

        static bool equal(const double& rfValA, const double& rfValB, const double& rfSmallValue)
        {
            return (fabs(rfValA - rfValB) <= rfSmallValue);
        }

        static bool less(const double& rfValA, const double& rfValB)
        {
            return (rfValA < rfValB && !equal(rfValA, rfValB));
        }

        static bool lessOrEqual(const double& rfValA, const double& rfValB)
        {
            return (rfValA < rfValB || equal(rfValA, rfValB));
        }

        static bool more(const double& rfValA, const double& rfValB)
        {
            return (rfValA > rfValB && !equal(rfValA, rfValB));
        }

        static bool moreOrEqual(const double& rfValA, const double& rfValB)
        {
            return (rfValA > rfValB || equal(rfValA, rfValB));
        }
    };
} // end of namespace basegfx

#endif /* _BGFX_NUMERIC_FTOOLS_HXX */