qmath.h File Reference

#include <math.h>
#include <QtCore/qglobal.h>

Go to the source code of this file.

Macros
#define	M_PI   (3.14159265358979323846)
#define	QT_SINE_TABLE_SIZE   256

Functions
qreal	qAcos (qreal v)
qreal	qAsin (qreal v)
qreal	qAtan (qreal v)
qreal	qAtan2 (qreal x, qreal y)
int	qCeil (qreal v)
qreal	qCos (qreal v)
qreal	qExp (qreal v)
qreal	qFabs (qreal v)
qreal	qFastCos (qreal x)
qreal	qFastSin (qreal x)
int	qFloor (qreal v)
qreal	qLn (qreal v)
qreal	qPow (qreal x, qreal y)
qreal	qSin (qreal v)
qreal	qSqrt (qreal v)
qreal	qTan (qreal v)

Variables
Q_CORE_EXPORT const qreal	qt_sine_table [QT_SINE_TABLE_SIZE]

Macro Definition Documentation

M_PI

#define M_PI   (3.14159265358979323846)

Definition at line 261 of file qmath.h.

Referenced by QDeclarativeParentChangePrivate::doChange(), QCoreGraphicsPaintEngine::drawEllipse(), QQuaternion::fromAxisAndAngle(), QMatrix4x4::perspective(), QMatrix4x4::projectedRotate(), qFastCos(), qFastSin(), QMatrix4x4::rotate(), QDeclarativeParentAnimation::transition(), and QUIKitWindow::updateGeometryAndOrientation().

QT_SINE_TABLE_SIZE

#define QT_SINE_TABLE_SIZE   256

Definition at line 59 of file qmath.h.

Referenced by qFastCos(), and qFastSin().

Function Documentation

qAcos()

qreal qAcos ( qreal  v )

inline

Definition at line 141 of file qmath.h.

Referenced by addCircle(), QLineF::angle(), and QQuaternion::slerp().

{
#ifdef Q_OS_SYMBIAN
    TReal acos_v;
    Math::ACos(acos_v, static_cast<TReal>(v));
    return static_cast<qreal>(acos_v);
#else
#    ifdef QT_USE_MATH_H_FLOATS
        if (sizeof(qreal) == sizeof(float))
            return acosf(float(v));
        else
#    endif
           return acos(v);
#endif
}

qAsin()

qreal qAsin ( qreal  v )

inline

Definition at line 157 of file qmath.h.

{
#ifdef Q_OS_SYMBIAN
    TReal asin_v;
    Math::ASin(asin_v, static_cast<TReal>(v));
    return static_cast<qreal>(asin_v);
#else
#    ifdef QT_USE_MATH_H_FLOATS
        if (sizeof(qreal) == sizeof(float))
            return asinf(float(v));
        else
#    endif
            return asin(v);
#endif
}

qAtan()

qreal qAtan ( qreal  v )

inline

Definition at line 173 of file qmath.h.

Referenced by QStyleHelper::angle().

{
#ifdef Q_OS_SYMBIAN
    TReal atan_v;
    Math::ATan(atan_v, static_cast<TReal>(v));
    return static_cast<qreal>(atan_v);
#else
#    ifdef QT_USE_MATH_H_FLOATS
        if(sizeof(qreal) == sizeof(float))
            return atanf(float(v));
        else
#    endif
            return atan(v);
#endif
}

qAtan2()

qreal qAtan2 ( qreal  x, qreal  y  )

inline

Definition at line 189 of file qmath.h.

Referenced by QLineF::angle(), computeAngle(), pathArc(), qt_fetch_conical_gradient(), and QDialPrivate::valueFromPoint().

{
#ifdef Q_OS_SYMBIAN
    TReal atan2_v;
    Math::ATan(atan2_v, static_cast<TReal>(x), static_cast<TReal>(y));
    return static_cast<qreal>(atan2_v);
#else
#    ifdef QT_USE_MATH_H_FLOATS
        if(sizeof(qreal) == sizeof(float))
            return atan2f(float(x), float(y));
        else
#    endif
            return atan2(x, y);
#endif
}

qCeil()

int qCeil ( qreal  v )

inline

Definition at line 63 of file qmath.h.

Referenced by QFontEngine::alphaMapForGlyph(), alphaMapFromPath(), QSvgAnimateColor::apply(), QDeclarativePath::createPointCache(), QCommandLinkButtonPrivate::descriptionHeight(), QDeclarativePaintedItem::dirtyCache(), QDeclarativeFlow::doPositioning(), QPaintEngine::drawImage(), QRasterPaintEngine::drawImage(), drawTextItemDecoration(), QOpenGLPaintEngine::drawTiledPixmap(), QTextDocumentLayout::dynamicPageCount(), fetchTransformedBilinear(), QTimeLine::frameForTime(), QDeclarativeRectangle::generateRoundedRect(), generateWavyPixmap(), QRasterPaintEnginePrivate::getPenFunc(), intmaxlog(), QPrintPreviewWidgetPrivate::layoutPages(), QPaintBuffer::metric(), QDeclarativePaintedItem::paint(), pathArc(), QPdf::patternForBrush(), QGLPixmapBlurFilter::processGL(), qDrawBorderPixmap(), qSubImage(), qt_scale_image_16bit(), qt_scale_image_32bit(), qt_transform_image(), QMdi::RegularTiler::rearrange(), QComboBoxPrivate::recomputeSizeHint(), QMdiAreaPrivate::resizeToMinimumTileSize(), QSvgAnimateTransform::resolveMatrix(), QSvgPaintEngine::saveGradientStops(), QDeclarativeTextPrivate::setupTextLayout(), QLabelPrivate::sizeForWidth(), QMacStyle::subControlRect(), QCommonStyle::subElementRect(), QItemDelegate::textRectangle(), QRectF::toAlignedRect(), QDeclarativeListView::trackedPositionChanged(), QDeclarativeTextEdit::updateSize(), QCommonStylePrivate::viewItemSize(), and QPicturePaintEngine::writeCmdLength().

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

qCos()

qreal qCos ( qreal  v )

inline

Definition at line 109 of file qmath.h.

Referenced by calcArrow(), QStyleHelper::calcLines(), QStyleHelper::calcRadialPos(), QQuaternion::fromAxisAndAngle(), QLineF::fromPolar(), pathArc(), pathArcSegment(), QMatrix4x4::perspective(), QMatrix4x4::projectedRotate(), qt_t_for_arc_angle(), QAccessibleDial::rect(), QMatrix::rotate(), QTransform::rotate(), QMatrix4x4::rotate(), QTransform::rotateRadians(), and QLineF::setAngle().

{
#ifdef Q_OS_SYMBIAN
    TReal cos_v;
    Math::Cos(cos_v, static_cast<TReal>(v));
    return static_cast<qreal>(cos_v);
#else
#    ifdef QT_USE_MATH_H_FLOATS
        if (sizeof(qreal) == sizeof(float))
            return cosf(float(v));
        else
#    endif
            return cos(v);
#endif
}

qExp()

qreal qExp ( qreal  v )

inline

Definition at line 231 of file qmath.h.

{
#ifdef Q_OS_SYMBIAN
    TReal exp_v;
    Math::Exp(exp_v, static_cast<TReal>(v));
    return static_cast<qreal>(exp_v);
#else
    // only one signature
    // exists, exp(double)
    return exp(v);
#endif
}

qFabs()

qreal qFabs ( qreal  v )

inline

Definition at line 83 of file qmath.h.

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

qFastCos()

qreal qFastCos ( qreal  x )

inline

Definition at line 274 of file qmath.h.

Referenced by QGL2PaintEngineExPrivate::drawPixmapFragments(), and QTriangulatingStroker::process().

{
    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;
}

qFastSin()

qreal qFastSin ( qreal  x )

inline

Definition at line 264 of file qmath.h.

Referenced by QGL2PaintEngineExPrivate::drawPixmapFragments(), and QTriangulatingStroker::process().

{
    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;
}

qFloor()

int qFloor ( qreal  v )

inline

Definition at line 73 of file qmath.h.

Referenced by addSelectedRegionsToPath(), QFontEngine::alphaMapForGlyph(), alphaMapFromPath(), QSvgAnimateColor::apply(), QGL2PaintEngineExPrivate::drawCachedGlyphs(), QRasterPaintEngine::drawCachedGlyphs(), QPaintEngine::drawImage(), QRasterPaintEngine::drawImage(), QX11PaintEngine::drawPoints(), QRasterPaintEngine::drawTextItem(), drawTextItemDecoration(), QX11PaintEnginePrivate::fillPolygon_dev(), generateWavyPixmap(), QPrintPreviewWidgetPrivate::layoutPages(), QFontDatabase::loadXlfd(), QDeclarativePaintedItem::paint(), QPdf::patternForBrush(), QDashStroker::processCurrentSubpath(), qDrawEdge(), qSubImage(), qt_curves_for_arc(), qt_find_ellipse_coords(), qt_scale_image_16bit(), qt_scale_image_32bit(), qt_transform_image(), QSvgAnimateTransform::resolveMatrix(), setPenAndDrawBackground(), QRasterPaintEngine::stroke(), QRectF::toAlignedRect(), and QPicturePaintEngine::writeCmdLength().

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

qLn()

qreal qLn ( qreal  v )

inline

Definition at line 221 of file qmath.h.

Referenced by intmaxlog().

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

qPow()

qreal qPow ( qreal  x, qreal  y  )

inline

Definition at line 244 of file qmath.h.

Referenced by QODBCResult::exec(), expblur(), growthFactorBelowPreferredSize(), qt_build_pow_tables(), and qt_sRGB_to_linear_RGB().

{
#ifdef Q_OS_SYMBIAN
    TReal pow_v;
    Math::Pow(pow_v, static_cast<TReal>(x), static_cast<TReal>(y));
    return static_cast<qreal>(pow_v);
#else
#    ifdef QT_USE_MATH_H_FLOATS
        if (sizeof(qreal) == sizeof(float))
            return powf(float(x), float(y));
        else
#    endif
            return pow(x, y);
#endif
}

qSin()

qreal qSin ( qreal  v )

inline

Definition at line 93 of file qmath.h.

Referenced by calcArrow(), QStyleHelper::calcLines(), QStyleHelper::calcRadialPos(), QQuaternion::fromAxisAndAngle(), QLineF::fromPolar(), pathArc(), pathArcSegment(), QMatrix4x4::perspective(), QMatrix4x4::projectedRotate(), qt_t_for_arc_angle(), QAccessibleDial::rect(), QMatrix::rotate(), QTransform::rotate(), QMatrix4x4::rotate(), QTransform::rotateRadians(), QLineF::setAngle(), and QQuaternion::slerp().

{
#ifdef Q_OS_SYMBIAN
    TReal sin_v;
    Math::Sin(sin_v, static_cast<TReal>(v));
    return static_cast<qreal>(sin_v);
#else
#    ifdef QT_USE_MATH_H_FLOATS
        if (sizeof(qreal) == sizeof(float))
            return sinf(float(v));
        else
#    endif
            return sin(v);
#endif
}

qSqrt()

qreal qSqrt ( qreal  v )

inline

Definition at line 205 of file qmath.h.

Referenced by addCircle(), QDeclarativeParentChangePrivate::doChange(), QOpenGLPaintEngine::drawPath(), drawTrapezoid(), QToolBarLayout::expandedSize(), RadialFetchPlain::fetch(), QDeclarativeGridViewPrivate::flick(), QDeclarativeListViewPrivate::flick(), QQuaternion::fromAxisAndAngle(), QPrintPreviewWidgetPrivate::layoutPages(), QVector2D::length(), QVector3D::length(), QVector4D::length(), QQuaternion::length(), QLineF::length(), QStyleOptionGraphicsItem::levelOfDetailFromTransform(), QFontEngineFT::loadTransformedGlyphSet(), QMatrix::mapToPolygon(), QAccessibleWidget::navigate(), QVector2D::normalize(), normalize(), QVector3D::normalize(), QVector4D::normalize(), QQuaternion::normalize(), QVector2D::normalized(), QVector3D::normalized(), QVector4D::normalized(), QQuaternion::normalized(), pathArc(), QMatrix4x4::projectedRotate(), qIntSqrtInt(), qt_painterpath_bezier_extrema(), qt_scaleForTransform(), quadraticRoots(), QMdi::RegularTiler::rearrange(), QSmoothedAnimation::recalc(), QMdiAreaPrivate::resizeToMinimumTileSize(), QMatrix4x4::rotate(), QGLEllipseMaskGenerator::screenRect(), soft_light_op(), QBezier::stationaryYPoints(), QTessellator::tessellateRect(), QDeclarativeParentAnimation::transition(), QLineF::unitVector(), and QOpenGLPaintEnginePrivate::updateGradient().

{
#ifdef Q_OS_SYMBIAN
    TReal sqrt_v;
    Math::Sqrt(sqrt_v, static_cast<TReal>(v));
    return static_cast<qreal>(sqrt_v);
#else
#    ifdef QT_USE_MATH_H_FLOATS
        if (sizeof(qreal) == sizeof(float))
            return sqrtf(float(v));
        else
#    endif
            return sqrt(v);
#endif
}

qTan()

qreal qTan ( qreal  v )

inline

Definition at line 125 of file qmath.h.

Referenced by parseTransformationMatrix(), and QSvgAnimateTransform::resolveMatrix().

{
#ifdef Q_OS_SYMBIAN
    TReal tan_v;
    Math::Tan(tan_v, static_cast<TReal>(v));
    return static_cast<qreal>(tan_v);
#else
#    ifdef QT_USE_MATH_H_FLOATS
        if (sizeof(qreal) == sizeof(float))
            return tanf(float(v));
        else
#    endif
            return tan(v);
#endif
}

Variable Documentation

qt_sine_table

Q_CORE_EXPORT const qreal qt_sine_table[QT_SINE_TABLE_SIZE]

Definition at line 46 of file qmath.cpp.