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For general Scribus (>=1.3.2) copyright and licensing information please refer
to the COPYING file provided with the program. Following this notice may exist
a copyright and/or license notice that predates the release of Scribus 1.3.2
for which a new license (GPL+exception) is in place.

#ifndef _UTIL_MATH_H
#define _UTIL_MATH_H

#if defined(_MSC_VER) && !defined(_USE_MATH_DEFINES)
#include <cmath>
#include <vector>

#include <QByteArray>
#include <QPolygon>
#include <QList>
#include <QPainterPath>
#include <QLineF>

#include "scribusapi.h"

class FPoint;
class FPointArray;
class QRegion;

/*! \brief Compare double values by pre-multiplying by 10000 and converting to long if possible.
If premultiplication does not allow to store result in a long value, perform a standard comparison.

bool SCRIBUS_API compareDouble(double a, double b);
uint SCRIBUS_API getDouble(const QByteArray& in, bool raw);
FPoint   SCRIBUS_API getMaxClipF(const FPointArray* clip);
FPoint   SCRIBUS_API getMinClipF(const FPointArray* clip);
FPoint   SCRIBUS_API projectPointOnLine(FPoint p, QPointF lineStart, QPointF lineEnd);
bool     SCRIBUS_API regionContainsRect(const QRegion& shape, QRect rect);
QPolygon SCRIBUS_API flattenPath(const FPointArray& ina, QList<uint> &segments);
QList<QPainterPath> SCRIBUS_API decomposePath(QPainterPath &path);
QPainterPath  SCRIBUS_API regularPolygonPath(double w, double h, uint c, bool star, double factor, double rota, double factor2 = 0.0, double innerRot = 0.0, double factor3 = 0.0);
QPainterPath  SCRIBUS_API spiralPath(double spiralWidth, double spiralHeight, double spiralStartAngle, double spiralEndAngle, double spiralFactor);
inline double SCRIBUS_API xy2Deg(double x, double y);
inline double SCRIBUS_API sind(double);
inline double SCRIBUS_API cosd(double);
inline double SCRIBUS_API square(double);
inline double SCRIBUS_API distance(double, double);
/*! \brief Constrains an angle of rotation to 45 degree intervals
   Will make code simpler and reduce interval or provide as a parameter
   \param angle angle Angle in degrees
   \param constrain contrain value in degrees
   \retval double Constrained angle

double SCRIBUS_API constrainAngle(double angle, double constrain);
/*! \brief Get the rotation angle (in radian) from a transformation matrix
   Will make code simpler and reduce interval or provide as a parameter
   \param matrix the transformation matrix
   \param def the value that should be return if matrix is not a rotation matrix
   \retval double the rotation angle

double SCRIBUS_API getRotationFromMatrix(QTransform& matrix, double def);
/*! \brief Get the rotation angle (in degree) from a transformation matrix
   \param matrix the transformation matrix
   \retval double the rotation angle

double SCRIBUS_API getRotationDFromMatrix(QTransform& matrix);
void SCRIBUS_API getScaleFromMatrix(QTransform &matrix, double &scX, double &scY);
void SCRIBUS_API getTransformValuesFromMatrix(QTransform &matrix, double &scX, double &scY, double &rot, double &dx, double &dy);


inline double square(double x)
        return x*x;

inline double distance(double x, double y)
        return sqrt(x*x + y*y);

inline double xy2Deg(double x, double y)
        return atan2(y,x) * (180.0/M_PI);

inline double sind(double alpha)
        return sin(alpha / (180.0/M_PI));

inline double cosd(double alpha)
        return cos(alpha / (180.0/M_PI));

template <typename T>
inline bool isequiv(const T& v1, const T& v2) { return v1 == v2; }

template <>
inline bool isequiv<double>(const double& v1, const double& v2) { return compareDouble(v1, v2); }