void ShadowEffect::draw(QPainter *painter)
{
if (m_blurRadius < 0 && qFuzzyIsNull(m_xOffset) && qFuzzyIsNull(m_yOffset)) {
drawSource(painter);
return;
}
PixmapPadMode mode = PadToEffectiveBoundingRect;
if (painter->paintEngine()->type() == QPaintEngine::OpenGL2) {
mode = NoPad;
}
// Draw pixmap in device coordinates to avoid pixmap scaling.
QPoint offset;
const QPixmap pixmap = sourcePixmap(Qt::DeviceCoordinates, &offset, mode);
if (pixmap.isNull()) {
return;
}
QTransform restoreTransform = painter->worldTransform();
painter->setWorldTransform(QTransform());
if (m_shadow.isNull()) {
m_shadow = generateShadow(pixmap);
}
// Draw shadow (draw it twice to darken it)
painter->drawImage(offset, m_shadow);
painter->drawImage(offset, m_shadow);
// Draw the actual pixmap
painter->drawPixmap(offset, pixmap);
painter->setWorldTransform(restoreTransform);
}
void CameraController::update( double t )
{
if ( !m_camera )
return;
// Store the time
const float dt = t - m_time;
m_time = t;
// Update the camera position and orientation
Camera::CameraTranslationOption option = m_viewCenterFixed
? Camera::DontTranslateViewCenter
: Camera::TranslateViewCenter;
m_camera->translate( dt * QVector3D( m_vx, m_vy, m_vz ), option );
if ( !qFuzzyIsNull( m_panAngle ) )
{
m_camera->pan( m_panAngle );
m_panAngle = 0.0f;
}
if ( !qFuzzyIsNull( m_tiltAngle ) )
{
m_camera->tilt( m_tiltAngle );
m_tiltAngle = 0.0f;
}
}
/*!
\since 5.5
Extracts a 3D axis (\a x, \a y, \a z) and a rotating angle \a angle (in degrees)
that corresponds to this quaternion.
\sa fromAxisAndAngle()
*/
void QQuaternion::getAxisAndAngle(float *x, float *y, float *z, float *angle) const
{
Q_ASSERT(x && y && z && angle);
// The quaternion representing the rotation is
// q = cos(A/2)+sin(A/2)*(x*i+y*j+z*k)
float length = xp * xp + yp * yp + zp * zp;
if (!qFuzzyIsNull(length)) {
*x = xp;
*y = yp;
*z = zp;
if (!qFuzzyIsNull(length - 1.0f)) {
length = std::sqrt(length);
*x /= length;
*y /= length;
*z /= length;
}
*angle = 2.0f * std::acos(wp);
} else {
// angle is 0 (mod 2*pi), so any axis will fit
*x = *y = *z = *angle = 0.0f;
}
*angle = qRadiansToDegrees(*angle);
}
bool QgsGeometryUtils::segmentIntersection( const QgsPointV2 &p1, const QgsPointV2 &p2, const QgsPointV2 &q1, const QgsPointV2 &q2, QgsPointV2 &inter, double tolerance )
{
QgsVector v( p2.x() - p1.x(), p2.y() - p1.y() );
QgsVector w( q2.x() - q1.x(), q2.y() - q1.y() );
double vl = v.length();
double wl = w.length();
if ( qFuzzyIsNull( vl ) || qFuzzyIsNull( wl ) )
{
return false;
}
v = v / vl;
w = w / wl;
if ( !QgsGeometryUtils::lineIntersection( p1, v, q1, w, inter ) )
return false;
double lambdav = QgsVector( inter.x() - p1.x(), inter.y() - p1.y() ) * v;
if ( lambdav < 0. + tolerance || lambdav > vl - tolerance )
return false;
double lambdaw = QgsVector( inter.x() - q1.x(), inter.y() - q1.y() ) * w;
if ( lambdaw < 0. + tolerance || lambdaw >= wl - tolerance )
return false;
return true;
}
void GenerationWidget::paintEvent(QPaintEvent*)
{
QPainter p(this);
p.fillRect(rect(), Qt::black);
if (mImage.isNull() || qFuzzyIsNull(mImageAspectRatio) || qFuzzyIsNull(mImageAspectRatio))
return;
if (mWindowAspectRatio < mImageAspectRatio) {
const int h = int(width() / mImageAspectRatio);
mDestRect = QRect(0, (height()-h)/2, width(), h);
}
else {
const int w = int(height() * mImageAspectRatio);
mDestRect = QRect((width()-w)/2, 0, w, height());
}
p.drawImage(mDestRect, mImage);
const qreal invScale = 1 / qSqrt(mDestRect.width() * mDestRect.height());
p.translate(mDestRect.x(), mDestRect.y());
p.scale(mDestRect.width(), mDestRect.height());
p.setBrush(Qt::transparent);
p.setRenderHint(QPainter::Antialiasing);
if (mSplicedGene.color().isValid() && !mSplices.empty()) {
p.setPen(QPen(Qt::green, 1.2 * invScale));
for (QVector<Gene>::const_iterator g = mSplices.constBegin(); g != mSplices.constEnd(); ++g)
p.drawPolygon(g->polygon());
p.setPen(QPen(Qt::red, 1.3 * invScale));
p.drawPolygon(mSplicedGene.polygon());
mSplicedGene = Gene();
mSplices.clear();
}
if (!mHighlighted.isEmpty()) {
p.setPen(QPen(QColor(255, 0, 200), 1.3 * invScale));
p.setBrush(Qt::transparent);
p.drawPolygon(mHighlighted);
}
}
void NormalMapScene::update( float t )
{
QMutexLocker locker( &m_mutex );
// Nothing to do here
Q_UNUSED( t );
// Rotate the cube
if ( m_rotate )
{
m_theta += m_rotationSpeed;
if ( m_theta > 360.0f )
m_theta -= 360.0f;
}
m_modelMatrix.setToIdentity();
m_modelMatrix.rotate( m_theta, 0.0f, 1.0f, 0.0f );
// Update the camera position and orientation
Camera::CameraTranslationOption option = m_viewCenterFixed
? Camera::DontTranslateViewCenter
: Camera::TranslateViewCenter;
m_camera->translate( QVector3D( m_vx, m_vy, m_vz ), option );
if ( !qFuzzyIsNull( m_panAngle ) )
{
m_camera->pan( m_panAngle );
m_panAngle = 0.0f;
}
if ( !qFuzzyIsNull( m_tiltAngle ) )
{
m_camera->tilt( m_tiltAngle );
m_tiltAngle = 0.0f;
}
}
void NoiseScene::update( float t )
{
// Store the time to pass into the shader
m_time = t;
// Rotate the cube
if ( m_rotate )
{
m_theta += 0.5f;
if ( m_theta > 360.0f )
m_theta -= 360.0f;
}
m_modelMatrix.setToIdentity();
m_modelMatrix.rotate( m_theta, 0.0f, 1.0f, 0.0f );
// Update the camera position and orientation
Camera::CameraTranslationOption option = m_viewCenterFixed
? Camera::DontTranslateViewCenter
: Camera::TranslateViewCenter;
m_camera->translate( QVector3D( m_vx, m_vy, m_vz ), option );
if ( !qFuzzyIsNull( m_panAngle ) )
{
m_camera->pan( m_panAngle );
m_panAngle = 0.0f;
}
if ( !qFuzzyIsNull( m_tiltAngle ) )
{
m_camera->tilt( m_tiltAngle );
m_tiltAngle = 0.0f;
}
}
static inline int quadraticRoots(qreal a, qreal b, qreal c,
qreal *x1, qreal *x2)
{
if (qFuzzyIsNull(a)) {
if (qFuzzyIsNull(b))
return 0;
*x1 = *x2 = (-c / b);
return 1;
} else {
const qreal det = b * b - 4 * a * c;
if (qFuzzyIsNull(det)) {
*x1 = *x2 = -b / (2 * a);
return 1;
}
if (det > 0) {
if (qFuzzyIsNull(b)) {
*x2 = qSqrt(-c / a);
*x1 = -(*x2);
return 2;
}
const qreal stableA = b / (2 * a);
const qreal stableB = c / (a * stableA * stableA);
const qreal stableC = -1 - qSqrt(1 - stableB);
*x2 = stableA * stableC;
*x1 = (stableA * stableB) / stableC;
return 2;
} else
return 0;
}
}
/*!
\since 5.5
Returns the shortest arc quaternion to rotate from the direction described by the vector \a from
to the direction described by the vector \a to.
\sa fromDirection()
*/
QQuaternion QQuaternion::rotationTo(const QVector3D &from, const QVector3D &to)
{
// Based on Stan Melax's article in Game Programming Gems
const QVector3D v0(from.normalized());
const QVector3D v1(to.normalized());
float d = QVector3D::dotProduct(v0, v1) + 1.0f;
// if dest vector is close to the inverse of source vector, ANY axis of rotation is valid
if (qFuzzyIsNull(d)) {
QVector3D axis = QVector3D::crossProduct(QVector3D(1.0f, 0.0f, 0.0f), v0);
if (qFuzzyIsNull(axis.lengthSquared()))
axis = QVector3D::crossProduct(QVector3D(0.0f, 1.0f, 0.0f), v0);
axis.normalize();
// same as QQuaternion::fromAxisAndAngle(axis, 180.0f)
return QQuaternion(0.0f, axis.x(), axis.y(), axis.z());
}
d = std::sqrt(2.0f * d);
const QVector3D axis(QVector3D::crossProduct(v0, v1) / d);
return QQuaternion(d * 0.5f, axis).normalized();
}
void Camera::setMotionAdjustment(const QVector3D& vector)
{
Q_D(Camera);
if (d->motionAdjustment != vector) {
d->motionAdjustment = vector;
if (vector.x() == 0.0f && vector.y() == 0.0f) {
// If the vector is centered, then don't perform any rotations.
d->motionQuaternion = QQuaternion();
} else {
// Determine the pan and tilt angles from the vector.
QVector3D view = -vector.normalized();
if (view.z() < 0.0f)
view = -view;
qreal xangle = asin(view.x()) * 180.0f / M_PI;
qreal yangle = asin(-view.y()) * 180.0f / M_PI;
// Construct the pan and tilt quaternions.
if (qFuzzyIsNull(xangle))
d->motionQuaternion = tilt(yangle);
else if (qFuzzyIsNull(yangle))
d->motionQuaternion = pan(xangle);
else
d->motionQuaternion = tilt(yangle) * pan(xangle);
}
emit viewChanged();
}
}
void ptFilter_WaveletDenoise::doRunFilter(ptImage *AImage) {
AImage->toLab();
const double LStrength = FConfig.value(CLStrength).toDouble();
const double AStrength = FConfig.value(CAStrength).toDouble();
const double BStrength = FConfig.value(CBStrength).toDouble();
const double strengthDiv = (log(TheProcessor->m_ScaleFactor)/log(0.5)) + 1.0;
if (!qFuzzyIsNull(LStrength)) {
AImage->WaveletDenoise(
ChMask_L,
LStrength / strengthDiv,
FConfig.value(CLSoftness).toDouble(),
true,
FConfig.value(CSharpness).toDouble(),
FConfig.value(CAnisotropy).toDouble(),
FConfig.value(CGradientSmooth).toDouble(),
FConfig.value(CTensorSmooth).toDouble());
}
if (!qFuzzyIsNull(AStrength)) {
AImage->WaveletDenoise(
ChMask_a,
AStrength /strengthDiv,
FConfig.value(CASoftness).toDouble());
}
if (!qFuzzyIsNull(BStrength)) {
AImage->WaveletDenoise(
ChMask_a,
BStrength /strengthDiv,
FConfig.value(CBSoftness).toDouble());
}
}
void TerrainTessellationScene::update( float t )
{
Q_UNUSED( t );
m_theta += 0.2;
if ( m_theta > 360.0f )
m_theta -= 360.0f;
m_modelMatrix.setToIdentity();
m_modelMatrix.scale( 50.0f );
m_modelMatrix.translate( -5.0f, 0.0f, 0.0f );
// Update the camera position and orientation
Camera::CameraTranslationOption option = m_viewCenterFixed
? Camera::DontTranslateViewCenter
: Camera::TranslateViewCenter;
m_camera->translate( QVector3D( m_vx, m_vy, m_vz ), option );
if ( !qFuzzyIsNull( m_panAngle ) )
{
m_camera->pan( m_panAngle );
m_panAngle = 0.0f;
}
if ( !qFuzzyIsNull( m_tiltAngle ) )
{
m_camera->tilt( m_tiltAngle );
m_tiltAngle = 0.0f;
}
}
void QQuickTextNodeEngine::BinaryTreeNode::insert(QVarLengthArray<BinaryTreeNode, 16> *binaryTree, const QGlyphRun &glyphRun, SelectionState selectionState,
QQuickTextNode::Decorations decorations, const QColor &textColor,
const QColor &backgroundColor, const QPointF &position)
{
QRectF searchRect = glyphRun.boundingRect();
searchRect.translate(position);
if (qFuzzyIsNull(searchRect.width()) || qFuzzyIsNull(searchRect.height()))
return;
decorations |= (glyphRun.underline() ? QQuickTextNode::Underline : QQuickTextNode::NoDecoration);
decorations |= (glyphRun.overline() ? QQuickTextNode::Overline : QQuickTextNode::NoDecoration);
decorations |= (glyphRun.strikeOut() ? QQuickTextNode::StrikeOut : QQuickTextNode::NoDecoration);
decorations |= (backgroundColor.isValid() ? QQuickTextNode::Background : QQuickTextNode::NoDecoration);
qreal ascent = glyphRun.rawFont().ascent();
insert(binaryTree, BinaryTreeNode(glyphRun,
selectionState,
searchRect,
decorations,
textColor,
backgroundColor,
position,
ascent));
}
static bool addCircle(const QBezier *b, qreal offset, QBezier *o)
{
QPointF normals[3];
normals[0] = QPointF(b->y2 - b->y1, b->x1 - b->x2);
qreal dist = qSqrt(normals[0].x()*normals[0].x() + normals[0].y()*normals[0].y());
if (qFuzzyIsNull(dist))
return false;
normals[0] /= dist;
normals[2] = QPointF(b->y4 - b->y3, b->x3 - b->x4);
dist = qSqrt(normals[2].x()*normals[2].x() + normals[2].y()*normals[2].y());
if (qFuzzyIsNull(dist))
return false;
normals[2] /= dist;
normals[1] = QPointF(b->x1 - b->x2 - b->x3 + b->x4, b->y1 - b->y2 - b->y3 + b->y4);
normals[1] /= -1*qSqrt(normals[1].x()*normals[1].x() + normals[1].y()*normals[1].y());
qreal angles[2];
qreal sign = 1.;
for (int i = 0; i < 2; ++i) {
qreal cos_a = normals[i].x()*normals[i+1].x() + normals[i].y()*normals[i+1].y();
if (cos_a > 1.)
cos_a = 1.;
if (cos_a < -1.)
cos_a = -1;
angles[i] = qAcos(cos_a)/Q_PI;
}
if (angles[0] + angles[1] > 1.) {
// more than 180 degrees
normals[1] = -normals[1];
angles[0] = 1. - angles[0];
angles[1] = 1. - angles[1];
sign = -1.;
}
QPointF circle[3];
circle[0] = QPointF(b->x1, b->y1) + normals[0]*offset;
circle[1] = QPointF(qreal(0.5)*(b->x1 + b->x4), qreal(0.5)*(b->y1 + b->y4)) + normals[1]*offset;
circle[2] = QPointF(b->x4, b->y4) + normals[2]*offset;
for (int i = 0; i < 2; ++i) {
qreal kappa = qreal(2.0) * KAPPA * sign * offset * angles[i];
o->x1 = circle[i].x();
o->y1 = circle[i].y();
o->x2 = circle[i].x() - normals[i].y()*kappa;
o->y2 = circle[i].y() + normals[i].x()*kappa;
o->x3 = circle[i+1].x() + normals[i+1].y()*kappa;
o->y3 = circle[i+1].y() - normals[i+1].x()*kappa;
o->x4 = circle[i+1].x();
o->y4 = circle[i+1].y();
++o;
}
return true;
}
static inline bool fuzzyCompare( double a, double b )
{
#if QT_VERSION < 0x040600
const int eps = 0.000000000001;
return ( ( qAbs(a) <= eps ) && ( qAbs(b) <= eps ) ) || qFuzzyCompare(a, b);
#else
return ( qFuzzyIsNull(a) && qFuzzyIsNull(b) ) || qFuzzyCompare(a, b);
#endif
}
void InstancedHistogramScene::update( float t )
{
QMutexLocker locker( &m_mutex );
// Update the data being plotted
if ( m_updatesEnabled )
{
const float xMin = -15.0f, xMax = 15.0f;
const float zMin = -15.0f, zMax = 15.0f;
const float dx = ( xMax - xMin ) / static_cast<float>( xPoints - 1 );
const float dz = ( zMax - zMin ) / static_cast<float>( zPoints - 1 );
int i = 0;
const float A = 5.0;
for ( int zi = 0; zi < zPoints; ++zi )
{
float z = zMin + static_cast<float>( zi ) * dz;
for ( int xi = 0; xi < xPoints; ++xi )
{
float x = xMin + static_cast<float>( xi ) * dx;
double r = sqrt( x * x + z * z );
float y = A * ( sinf( m_frequency * t ) + cosf( m_frequency * t ) ) * j0( m_spatialFrequency * r );
m_data[3 * i] = x;
m_data[3 * i + 1] = y;
m_data[3 * i + 2] = z;
++i;
}
}
}
// Store the time to pass into the shader
const float dt = t - m_time;
m_time = t;
// Update the camera position and orientation
Camera::CameraTranslationOption option = m_viewCenterFixed
? Camera::DontTranslateViewCenter
: Camera::TranslateViewCenter;
m_camera->translate( QVector3D( m_vx * dt, m_vy * dt, m_vz * dt ), option );
if ( !qFuzzyIsNull( m_panAngle ) )
{
m_camera->pan( m_panAngle * dt );
m_panAngle = 0.0f;
}
if ( !qFuzzyIsNull( m_tiltAngle ) )
{
m_camera->tilt( m_tiltAngle * dt );
m_tiltAngle = 0.0f;
}
}
void IRWidget::paintEvent(QPaintEvent *)
{
Q_D(IRWidget);
if (d->irFrame.isNull() || qFuzzyIsNull(d->imageAspectRatio) || qFuzzyIsNull(d->windowAspectRatio))
return;
QPainter p(this);
p.fillRect(rect(), Qt::gray);
p.drawImage(d->destRect, d->irFrame);
}
/*!
Returns the normalized unit vector form of this vector.
If this vector is null, then a null vector is returned. If the length
of the vector is very close to 1, then the vector will be returned as-is.
Otherwise the normalized form of the vector of length 1 will be returned.
\sa length(), normalize()
*/
QVector2D QVector2D::normalized() const
{
// Need some extra precision if the length is very small.
double len = double(xp) * double(xp) +
double(yp) * double(yp);
if (qFuzzyIsNull(len - 1.0f))
return *this;
else if (!qFuzzyIsNull(len))
return *this / qSqrt(len);
else
return QVector2D();
}
Vec Vec::normalized() const
{
// Need some extra precision if the length is very small.
TGPSReal len = TGPSReal(xp) * TGPSReal(xp) +
TGPSReal(yp) * TGPSReal(yp) +
TGPSReal(zp) * TGPSReal(zp);
if (qFuzzyIsNull(len - 1.0))
return *this;
else if (!qFuzzyIsNull(len))
return *this / qSqrt(len);
else
return Vec();
}
/*!
Normalizes the currect vector in place. Nothing happens if this
vector is a null vector or the length of the vector is very close to 1.
\sa length(), normalized()
*/
void QVector2D::normalize()
{
// Need some extra precision if the length is very small.
double len = double(xp) * double(xp) +
double(yp) * double(yp);
if (qFuzzyIsNull(len - 1.0f) || qFuzzyIsNull(len))
return;
len = sqrt(len);
xp = float(double(xp) / len);
yp = float(double(yp) / len);
}
/*!
Normalizes the currect vector in place. Nothing happens if this
vector is a null vector or the length of the vector is very close to 1.
\sa length(), normalized()
*/
void TVector2D::normalize()
{
// Need some extra precision if the length is very small.
double len = double(xp) * double(xp) +
double(yp) * double(yp);
if (qFuzzyIsNull(len - 1.0f) || qFuzzyIsNull(len))
return;
len = qSqrt(len);
xp /= len;
yp /= len;
}
void Vec::normalize()
{
// Need some extra precision if the length is very small.
TGPSReal len = TGPSReal(xp) * TGPSReal(xp) + TGPSReal(yp) * TGPSReal(yp) + TGPSReal(zp) * TGPSReal(zp);
if (qFuzzyIsNull(len - 1.0) || qFuzzyIsNull(len))
return;
len = qSqrt(len);
xp /= len;
yp /= len;
zp /= len;
}
QPixmap Icon::applyEffects() const
{
QPixmap gfx = pixmap;
if (isColor && !qFuzzyIsNull(depth)) {
QLabel w;
QGraphicsColorizeEffect *effect = new QGraphicsColorizeEffect();
effect->setColor(color);
effect->setStrength(depth);
w.setPixmap(gfx);
w.setGraphicsEffect(effect);
gfx = w.grab();
}
if (!qFuzzyIsNull(radius)) {
QImage canvas(gfx.size(), QImage::Format_ARGB32_Premultiplied);
QPainter painter(&canvas);
painter.setCompositionMode(QPainter::CompositionMode_Source);
painter.fillRect(gfx.rect(), Qt::transparent);
painter.setPen(Qt::NoPen);
painter.setBrush(QBrush(gfx));
painter.setRenderHint(QPainter::Antialiasing);
painter.drawRoundedRect(gfx.rect(), radius, radius);
painter.end();
gfx = QPixmap::fromImage(canvas);
}
if (blur > 1.0) {
QLabel w;
QGraphicsBlurEffect *effect = new QGraphicsBlurEffect();
effect->setBlurRadius(blur);
effect->setBlurHints(QGraphicsBlurEffect::QualityHint);
w.setPixmap(gfx);
w.setGraphicsEffect(effect);
gfx = w.grab();
}
if (flipX) {
gfx = gfx.transformed(QTransform().scale(-1, 1));
}
if (flipY) {
gfx = gfx.transformed(QTransform().scale(1, -1));
}
if (angle != 0) {
gfx = gfx.transformed(QTransform().rotate(angle));
}
return gfx;
}
/*!
Returns the normalized unit form of this quaternion.
If this quaternion is null, then a null quaternion is returned.
If the length of the quaternion is very close to 1, then the quaternion
will be returned as-is. Otherwise the normalized form of the
quaternion of length 1 will be returned.
\sa length(), normalize()
*/
QQuaternion QQuaternion::normalized() const
{
// Need some extra precision if the length is very small.
double len = double(xp) * double(xp) +
double(yp) * double(yp) +
double(zp) * double(zp) +
double(wp) * double(wp);
if (qFuzzyIsNull(len - 1.0f))
return *this;
else if (!qFuzzyIsNull(len))
return *this / qSqrt(len);
else
return QQuaternion(0.0f, 0.0f, 0.0f, 0.0f);
}
/*!
Creates a normalized quaternion that corresponds to rotating through
\a angle degrees about the 3D axis (\a x, \a y, \a z).
*/
QQuaternion QQuaternion::fromAxisAndAngle
(qreal x, qreal y, qreal z, qreal angle)
{
qreal length = qSqrt(x * x + y * y + z * z);
if (!qFuzzyIsNull(length - 1.0f) && !qFuzzyIsNull(length)) {
x /= length;
y /= length;
z /= length;
}
qreal a = (angle / 2.0f) * M_PI / 180.0f;
qreal s = qSin(a);
qreal c = qCos(a);
return QQuaternion(c, x * s, y * s, z * s).normalized();
}
/*!
Creates a normalized quaternion that corresponds to rotating through
\a angle degrees about the 3D axis (\a x, \a y, \a z).
\sa getAxisAndAngle()
*/
QQuaternion QQuaternion::fromAxisAndAngle
(float x, float y, float z, float angle)
{
float length = std::sqrt(x * x + y * y + z * z);
if (!qFuzzyIsNull(length - 1.0f) && !qFuzzyIsNull(length)) {
x /= length;
y /= length;
z /= length;
}
float a = qDegreesToRadians(angle / 2.0f);
float s = std::sin(a);
float c = std::cos(a);
return QQuaternion(c, x * s, y * s, z * s).normalized();
}
/*!
\since 5.5
Calculates \a roll, \a pitch, and \a yaw Euler angles (in degrees)
that corresponds to this quaternion.
\sa fromEulerAngles()
*/
void QQuaternion::getEulerAngles(float *pitch, float *yaw, float *roll) const
{
Q_ASSERT(pitch && yaw && roll);
// Algorithm from:
// http://www.j3d.org/matrix_faq/matrfaq_latest.html#Q37
float xx = xp * xp;
float xy = xp * yp;
float xz = xp * zp;
float xw = xp * wp;
float yy = yp * yp;
float yz = yp * zp;
float yw = yp * wp;
float zz = zp * zp;
float zw = zp * wp;
const float lengthSquared = xx + yy + zz + wp * wp;
if (!qFuzzyIsNull(lengthSquared - 1.0f) && !qFuzzyIsNull(lengthSquared)) {
xx /= lengthSquared;
xy /= lengthSquared; // same as (xp / length) * (yp / length)
xz /= lengthSquared;
xw /= lengthSquared;
yy /= lengthSquared;
yz /= lengthSquared;
yw /= lengthSquared;
zz /= lengthSquared;
zw /= lengthSquared;
}
*pitch = std::asin(-2.0f * (yz - xw));
if (*pitch < M_PI_2) {
if (*pitch > -M_PI_2) {
*yaw = std::atan2(2.0f * (xz + yw), 1.0f - 2.0f * (xx + yy));
*roll = std::atan2(2.0f * (xy + zw), 1.0f - 2.0f * (xx + zz));
} else {
// not a unique solution
*roll = 0.0f;
*yaw = -std::atan2(-2.0f * (xy - zw), 1.0f - 2.0f * (yy + zz));
}
} else {
// not a unique solution
*roll = 0.0f;
*yaw = std::atan2(-2.0f * (xy - zw), 1.0f - 2.0f * (yy + zz));
}
*pitch = qRadiansToDegrees(*pitch);
*yaw = qRadiansToDegrees(*yaw);
*roll = qRadiansToDegrees(*roll);
}
/*!
Creates a normalized quaternion that corresponds to rotating through
\a angle degrees about the 3D axis (\a x, \a y, \a z).
*/
QQuaternion QQuaternion::fromAxisAndAngle
(float x, float y, float z, float angle)
{
float length = qSqrt(x * x + y * y + z * z);
if (!qFuzzyIsNull(length - 1.0f) && !qFuzzyIsNull(length)) {
x /= length;
y /= length;
z /= length;
}
float a = (angle / 2.0f) * M_PI / 180.0f;
float s = sinf(a);
float c = cosf(a);
return QQuaternion(c, x * s, y * s, z * s).normalized();
}
/*!
Returns the normalized unit vector form of this vector.
If this vector is null, then a null vector is returned. If the length
of the vector is very close to 1, then the vector will be returned as-is.
Otherwise the normalized form of the vector of length 1 will be returned.
\sa length(), normalize()
*/
QVector2D QVector2D::normalized() const
{
// Need some extra precision if the length is very small.
double len = double(xp) * double(xp) +
double(yp) * double(yp);
if (qFuzzyIsNull(len - 1.0f)) {
return *this;
} else if (!qFuzzyIsNull(len)) {
double sqrtLen = sqrt(len);
return QVector2D(float(double(xp) / sqrtLen), float(double(yp) / sqrtLen));
} else {
return QVector2D();
}
}
/*!
Decelerate \a timeLineValue from the starting \a velocity to zero over the given
\a distance. This is like accel(), but the QQuickTimeLine calculates the exact
deceleration to use.
\a distance should be positive.
*/
int QQuickTimeLine::accelDistance(QQuickTimeLineValue &timeLineValue, qreal velocity, qreal distance)
{
if (qFuzzyIsNull(distance) || qIsNaN(distance) || qFuzzyIsNull(velocity) || qIsNaN(velocity))
return -1;
Q_ASSERT((distance >= 0.0f) == (velocity >= 0.0f));
int time = static_cast<int>(1000 * (2.0f * distance) / velocity);
if (time <= 0) return -1;
QQuickTimeLinePrivate::Op op(QQuickTimeLinePrivate::Op::AccelDistance, time, velocity, distance, d->order++);
d->add(timeLineValue, op);
return time;
}