valentina/src/libs/vmisc/vmath.h

/****************************************************************************
**
** Copyright (C) 2013 Digia Plc.
** Contact: http://www.qt-project.org/legal
**
** $QT_BEGIN_LICENSE:GPL$
**
** GNU General Public License Usage
** Alternatively, this file may be used under the terms of the GNU
** General Public License version 3.0 as published by the Free Software
** Foundation and appearing in the file LICENSE.GPL included in the
** packaging of this file.  Please review the following information to
** ensure the GNU General Public License version 3.0 requirements will be
** met: http://www.gnu.org/copyleft/gpl.html.
**
**
** $QT_END_LICENSE$
**
****************************************************************************/

#ifndef QMATH_H
#define QMATH_H

#if QT_VERSION < QT_VERSION_CHECK(5, 1, 0)

#if 0
#pragma qt_class(QtMath)
#endif

#include <math.h>

#include <QtCore/qglobal.h>


#define QT_SINE_TABLE_SIZE 256

extern const qreal qt_sine_table[QT_SINE_TABLE_SIZE];

inline int qCeil(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
    if (sizeof(qreal) == sizeof(float))
        return int(ceilf(float(v)));
    else
#endif
        return int(ceil(v));
}

inline int qFloor(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
    if (sizeof(qreal) == sizeof(float))
        return int(floorf(float(v)));
    else
#endif
        return int(floor(v));
}

inline qreal qFabs(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
    if(sizeof(qreal) == sizeof(float))
        return fabsf(float(v));
    else
#endif
        return fabs(v);
}

inline qreal qSin(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
    if (sizeof(qreal) == sizeof(float))
        return sinf(float(v));
    else
#endif
        return sin(v);
}

inline qreal qCos(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
    if (sizeof(qreal) == sizeof(float))
        return cosf(float(v));
    else
#endif
        return cos(v);
}

inline qreal qTan(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
    if (sizeof(qreal) == sizeof(float))
        return tanf(float(v));
    else
#endif
        return tan(v);
}

inline qreal qAcos(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
    if (sizeof(qreal) == sizeof(float))
        return acosf(float(v));
    else
#endif
       return acos(v);
}

inline qreal qAsin(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
    if (sizeof(qreal) == sizeof(float))
        return asinf(float(v));
    else
#endif
        return asin(v);
}

inline qreal qAtan(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
    if (sizeof(qreal) == sizeof(float))
        return atanf(float(v));
    else
#endif
        return atan(v);
}

inline qreal qAtan2(qreal y, qreal x)
{
#ifdef QT_USE_MATH_H_FLOATS
    if (sizeof(qreal) == sizeof(float))
        return atan2f(float(y), float(x));
    else
#endif
        return atan2(y, x);
}

inline qreal qSqrt(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
    if (sizeof(qreal) == sizeof(float))
        return sqrtf(float(v));
    else
#endif
        return sqrt(v);
}

inline qreal qLn(qreal v)
{
#ifdef QT_USE_MATH_H_FLOATS
    if (sizeof(qreal) == sizeof(float))
        return logf(float(v));
    else
#endif
        return log(v);
}

inline qreal qExp(qreal v)
{
    // only one signature
    // exists, exp(double)
    return exp(v);
}

inline qreal qPow(qreal x, qreal y)
{
#ifdef QT_USE_MATH_H_FLOATS
    if (sizeof(qreal) == sizeof(float))
        return powf(float(x), float(y));
    else
#endif
        return pow(x, y);
}

#ifndef M_E
#define M_E (2.7182818284590452354)
#endif

#ifndef M_LOG2E
#define M_LOG2E (1.4426950408889634074)
#endif

#ifndef M_LOG10E
#define M_LOG10E (0.43429448190325182765)
#endif

#ifndef M_LN2
#define M_LN2 (0.69314718055994530942)
#endif

#ifndef M_LN10
#define M_LN10 (2.30258509299404568402)
#endif

#ifndef M_PI
#define M_PI (3.14159265358979323846)
#endif

#ifndef M_PI_2
#define M_PI_2 (1.57079632679489661923)
#endif

#ifndef M_PI_4
#define M_PI_4 (0.78539816339744830962)
#endif

#ifndef M_1_PI
#define M_1_PI (0.31830988618379067154)
#endif

#ifndef M_2_PI
#define M_2_PI (0.63661977236758134308)
#endif

#ifndef M_2_SQRTPI
#define M_2_SQRTPI (1.12837916709551257390)
#endif

#ifndef M_SQRT2
#define M_SQRT2 (1.41421356237309504880)
#endif

#ifndef M_SQRT1_2
#define M_SQRT1_2 (0.70710678118654752440)
#endif

inline qreal qFastSin(qreal x)
{
    int si = int(x * (0.5 * QT_SINE_TABLE_SIZE / M_PI)); // Would be more accurate with qRound, but slower.
    qreal d = x - si * (2.0 * M_PI / QT_SINE_TABLE_SIZE);
    int ci = si + QT_SINE_TABLE_SIZE / 4;
    si &= QT_SINE_TABLE_SIZE - 1;
    ci &= QT_SINE_TABLE_SIZE - 1;
    return qt_sine_table[si] + (qt_sine_table[ci] - 0.5 * qt_sine_table[si] * d) * d;
}

inline qreal qFastCos(qreal x)
{
    int ci = int(x * (0.5 * QT_SINE_TABLE_SIZE / M_PI)); // Would be more accurate with qRound, but slower.
    qreal d = x - ci * (2.0 * M_PI / QT_SINE_TABLE_SIZE);
    int si = ci + QT_SINE_TABLE_SIZE / 4;
    si &= QT_SINE_TABLE_SIZE - 1;
    ci &= QT_SINE_TABLE_SIZE - 1;
    return qt_sine_table[si] - (qt_sine_table[ci] + 0.5 * qt_sine_table[si] * d) * d;
}

Q_DECL_CONSTEXPR inline float qDegreesToRadians(float degrees)
{
    return degrees * float(M_PI/180);
}

Q_DECL_CONSTEXPR inline double qDegreesToRadians(double degrees)
{
    return degrees * (M_PI / 180);
}

Q_DECL_CONSTEXPR inline float qRadiansToDegrees(float radians)
{
    return radians * float(180/M_PI);
}

Q_DECL_CONSTEXPR inline double qRadiansToDegrees(double radians)
{
    return radians * (180 / M_PI);
}

#endif // QT_VERSION < QT_VERSION_CHECK(5, 1, 0)

#endif // VMATH_H