AsemanSensorsResItem AsemanSensors::analizeItem(qreal x, qreal y, qreal z, bool ambiguity)
{
AsemanSensorsResItem res;
res.beta = 0;
res.newX = 0;
const qreal f = qPow(x*x+z*z,0.5);
if( f == 0 )
return res;
const qreal al = qAsin(z/f);
const qreal g = EARTH_GRAVITY;
const qreal gxz = x==0 && y==0? 0 : pow( (x*x*g*g+z*z*y*y)/(x*x+y*y), 0.5 );
const qreal sinb = z/gxz;
const qreal bt_p = qAsin( sinb>1?1:(sinb<-1?-1:sinb) );
const qreal bt = ambiguity? M_PI-bt_p : bt_p;
const qreal nx = x - gxz*qCos(bt);
res.beta = bt;
res.newX = nx;
res.f = f;
res.g = gxz;
res.alpha = al;
return res;
}
bool LambertAzimuthalProjection::geoCoordinates( const int x, const int y,
const ViewportParams *viewport,
qreal& lon, qreal& lat,
GeoDataCoordinates::Unit unit ) const
{
const qint64 radius = viewport->radius();
// Calculate how many degrees are being represented per pixel.
const qreal centerLon = viewport->centerLongitude();
const qreal centerLat = viewport->centerLatitude();
const qreal rx = ( - viewport->width() / 2 + x );
const qreal ry = ( viewport->height() / 2 - y );
const qreal p = qMax( qSqrt( rx*rx + ry*ry ), qreal(0.0001) ); // ensure we don't divide by zero
const qreal c = 2 * qAsin( p / (qSqrt(2) * radius) );
const qreal sinc = qSin(c);
lon = centerLon + qAtan2( rx*sinc , ( p*qCos( centerLat )*qCos( c ) - ry*qSin( centerLat )*sinc ) );
while ( lon < -M_PI ) lon += 2 * M_PI;
while ( lon > M_PI ) lon -= 2 * M_PI;
lat = qAsin( qCos(c)*qSin(centerLat) + (ry*sinc*qCos(centerLat))/p );
if ( unit == GeoDataCoordinates::Degree ) {
lon *= RAD2DEG;
lat *= RAD2DEG;
}
return true;
}
void KinematicPoints::SetS4C4()
{
s[4] = s234 * c23 - c234 * s23;
c[4] = c234*c23 + s234*s23;
fi[4] = qFabs(c[4])>qFabs(s[4])? qAsin(s[4]) : qAcos(c[4]);
//if(fi[4]!=fi[4]) {emit outOfRange(); return;}
}
float WireCreator::calcMinimumAngle(QVector3D point, QPair<QVector3D, QVector3D> box)
{
float maxY=qMax(box.first.y(),box.second.y())+0.3f;
if(point.length()<maxY) return 0;
float angle=qAsin(maxY/point.length());
return angle;
}
void KinematicPoints::SetS5C5()
{
s[5] = ctheta * (spsi * c[1] - cpsi * s[1]);
c[5] = delta5 * qSqrt(1 - qPow(s[5], 2));
fi[5] = qFabs(c[5])>qFabs(s[5])? qAsin(s[5]) : qAcos(c[5]);
//if(fi[5]!=fi[5]) {emit outOfRange(); return;}
}
Rpn::Operand Arcsine::calculate(FunctionCalculator *calculator, QList<Rpn::Operand> actualArguments)
{
Q_UNUSED(calculator);
Rpn::Operand result;
result.type = Rpn::OperandNumber;
result.value = qAsin(actualArguments.at(0).value.value<Number>());
return result;
}
bool VerticalPerspectiveProjection::geoCoordinates( const int x, const int y,
const ViewportParams *viewport,
qreal& lon, qreal& lat,
GeoDataCoordinates::Unit unit ) const
{
Q_D(const VerticalPerspectiveProjection);
d->calculateConstants(viewport->radius());
const qreal P = d->m_P;
const qreal rx = ( - viewport->width() / 2 + x );
const qreal ry = ( viewport->height() / 2 - y );
const qreal p2 = rx*rx + ry*ry;
if (p2 == 0) {
lon = viewport->centerLongitude();
lat = viewport->centerLatitude();
return true;
}
const qreal pP = p2*d->m_pPfactor;
if ( pP > 1) return false;
const qreal p = qSqrt(p2);
const qreal fract = d->m_perspectiveRadius*(P-1)/p;
const qreal c = qAsin((P-qSqrt(1-pP))/(fract+1/fract));
const qreal sinc = qSin(c);
const qreal centerLon = viewport->centerLongitude();
const qreal centerLat = viewport->centerLatitude();
lon = centerLon + qAtan2(rx*sinc, (p*qCos(centerLat)*qCos(c) - ry*qSin(centerLat)*sinc));
while ( lon < -M_PI ) lon += 2 * M_PI;
while ( lon > M_PI ) lon -= 2 * M_PI;
lat = qAsin(qCos(c)*qSin(centerLat) + (ry*sinc*qCos(centerLat))/p);
if ( unit == GeoDataCoordinates::Degree ) {
lon *= RAD2DEG;
lat *= RAD2DEG;
}
return true;
}
void KinematicPoints::SetS2C2()
{
double zr = regionalPoint.z();
s[2] = 1/(qPow(a, 2) + qPow(zr,2)) * (zr * b + delta2 * a * qSqrt(qPow(a, 2) + qPow(zr,2) - qPow(b,2)));
c[2] = 1/(qPow(a, 2) + qPow(zr,2)) * (a * b - delta2 * zr * qSqrt(qPow(a, 2) + qPow(zr,2) - qPow(b,2)) );
fi[2] = qFabs(c[2])>qFabs(s[2])? qAsin(s[2]) : qAcos(c[2]);
//if(fi[2]!=fi[2]) {emit outOfRange(); return;}
}
void KinematicPoints::SetS3C3()
{
double zr = regionalPoint.z();
s[3] = 1/l[3] * ( zr*c[2] - a*s[2] );
c[3] = 1/l[3]* (a*c[2]+zr*s[2] - l[2]) ;
fi[3] = qFabs(c[3])>qFabs(s[3])? qAsin(s[3]) : qAcos(c[3]);
//if(fi[3]!=fi[3]) {emit outOfRange(); return;}
}
uint ColorCalculator::getRadialPixel(int x, int y, int cx, int cy){
int dx=x-cx;
int dy=y-cy;
qreal radius=qSqrt(dx*dx+dy*dy);
qreal sinus=0;
if(radius>0)sinus=qreal(dy)/radius;
qreal angle=qAsin(sinus);
if(dx<0)angle=M_PI-angle;
if(angle<0)angle+=M_PI*2;
engine.globalObject().setProperty("r",radius);
engine.globalObject().setProperty("a",angle);
return getPixel();
}
void KinematicPoints::CalculateMachineCoordinates(QVector3D toolPoint)
{
SetToolPoint(toolPoint);
SetTransitionalPoint();
SetS1C1();
SetS5C5();
SetS234C234();
SetRegionalPoint();
SetAB();
SetS2C2();
SetS3C3();
SetS23C23();
SetS4C4();
SetJointPoints();
SetCalculatedJointPoints();
static bool ok = true;
for(int i=0; i<5; ++i)
{
fi[i] = c[i]>s[i]? qAsin(s[i]) : qAcos(c[i]);
if(fi[i]!=fi[i])
{
if(ok)
{
ok = false;
emit outOfRange();
return;
}
else
{
ok = true;
return;
}
}
}
if(lastValidPoint != toolPoint)
emit statusOK();
lastValidPoint = toolPoint;
}
void GraphicsCardSelectionScene::calculateScene()
{
// check if there is a view this scene is drawn in
if(views().isEmpty()) return;
QGraphicsView *view = views().first();
int n = items().count();
if(n < 1) return;
qreal w, h, xoffset;
qreal f = 1.0;
do {
w = view->viewport()->width() * f * 0.8; // the width of the arc
h = view->viewport()->height() * f * 0.6; // the height of the arc
xoffset = w / n;
f -= 0.1;
} while(xoffset >= 45.0 && f > 0.1);
qreal x = - xoffset * ((n == 1) ? 0 : (n / 2)); // starting position
qreal r = (w*w + h*h) / (2 * h); // the radius of the circle as a function of w and h
if(n % 2) x -= xoffset / 2;
for(int i = 0; i < n; ++i)
{
GraphicsGameCardItem *item;
item = static_cast<GraphicsGameCardItem*>(items().at(i));
qreal y = r + qSqrt(r*r - x*x); // the y offset for this card on the arc
item->setOffset(x, -y);
item->setTransformOriginPoint(item->offset());
item->setRotation(360 * qAsin(x/r) / (2 * M_PI)); // the card's rotation angle as degrees
x += xoffset;
}
QRectF rect = sceneRect();
setSceneRect(rect.x(), rect.y() -50.0, rect.width(), rect.height() +50.0);
}
void Meteor::init(const float& radiantAlpha, const float& radiantDelta,
const float& speed, const QList<ColorPair> colors)
{
// meteor velocity in km/s
m_speed = speed;
// find the radiant in horizontal coordinates
Vec3d radiantAltAz;
StelUtils::spheToRect(radiantAlpha, radiantDelta, radiantAltAz);
radiantAltAz = m_core->j2000ToAltAz(radiantAltAz);
float radiantAlt, radiantAz;
// S is zero, E is 90 degrees (SDSS)
StelUtils::rectToSphe(&radiantAz, &radiantAlt, radiantAltAz);
// meteors won't be visible if radiant is below 0degrees
if (radiantAlt < 0.f)
{
return;
}
// define the radiant coordinate system
// rotation matrix to align z axis with radiant
m_matAltAzToRadiant = Mat4d::zrotation(radiantAz) * Mat4d::yrotation(M_PI_2 - radiantAlt);
// select a random initial meteor altitude in the horizontal system [MIN_ALTITUDE, MAX_ALTITUDE]
float initialAlt = MIN_ALTITUDE + (MAX_ALTITUDE - MIN_ALTITUDE) * ((float) qrand() / ((float) RAND_MAX + 1));
// calculates the max z-coordinate for the currrent radiant
float maxZ = meteorZ(M_PI_2 - radiantAlt, initialAlt);
// meteor trajectory
// select a random xy position in polar coordinates (radiant system)
float xyDist = maxZ * ((double) qrand() / ((double) RAND_MAX + 1)); // [0, maxZ]
float theta = 2 * M_PI * ((double) qrand() / ((double) RAND_MAX + 1)); // [0, 2pi]
// initial meteor coordinates (radiant system)
m_position[0] = xyDist * qCos(theta);
m_position[1] = xyDist * qSin(theta);
m_position[2] = maxZ;
m_posTrain = m_position;
// store the initial z-component (radiant system)
m_initialZ = m_position[2];
// find the initial meteor coordinates in the horizontal system
Vec3d positionAltAz = m_position;
positionAltAz.transfo4d(m_matAltAzToRadiant);
// find the angle from horizon to meteor
float meteorAlt = qAsin(positionAltAz[2] / positionAltAz.length());
// this meteor should not be visible if it is above the maximum altitude
// or if it's below the horizon!
if (positionAltAz[2] > MAX_ALTITUDE || meteorAlt <= 0.f)
{
return;
}
// determine the final z-component and the min distance between meteor and observer
if (radiantAlt < 0.0262f) // (<1.5 degrees) earth grazing meteor ?
{
// earth-grazers are rare!
// introduce a probabilistic factor just to make them a bit harder to occur
float prob = ((float) qrand() / ((float) RAND_MAX + 1));
if (prob > 0.3f) {
return;
}
// limit lifetime to 12sec
m_finalZ = -m_position[2];
m_finalZ = qMax(m_position[2] - m_speed * 12.f, (double) m_finalZ);
m_minDist = xyDist;
}
else
{
// limit lifetime to 12sec
m_finalZ = meteorZ(M_PI_2 - meteorAlt, MIN_ALTITUDE);
m_finalZ = qMax(m_position[2] - m_speed * 12.f, (double) m_finalZ);
m_minDist = qSqrt(m_finalZ * m_finalZ + xyDist * xyDist);
}
// a meteor cannot hit the observer!
if (m_minDist < MIN_ALTITUDE) {
return;
}
// select random magnitude [-3; 4.5]
float Mag = (float) qrand() / ((float) RAND_MAX + 1) * 7.5f - 3.f;
// compute RMag and CMag
RCMag rcMag;
m_core->getSkyDrawer()->computeRCMag(Mag, &rcMag);
m_absMag = rcMag.radius <= 1.2f ? 0.f : rcMag.luminance;
if (m_absMag == 0.f) {
return;
}
// most visible meteors are under about 184km distant
// scale max mag down if outside this range
float scale = qPow(184.0 / m_minDist, 2);
m_absMag *= qMin(scale, 1.0f);
// build the color vector
buildColorVectors(colors);
m_alive = true;
}
void dtkComposerNodeNumberOperatorUnaryAsin::run(void)
{
double *value = d->receiver.data<double>();
*value = qAsin(*value);
d->emitter.setData<double>(value);
}
void dtkComposerNodeTestCase::testNumberOperatorUnary(void)
{
double v_r = qAtan(1);
dtkComposerNodeReal n_r;
n_r.setValue(v_r);
n_r.run();
dtkComposerNodeReal n_end;
// INCREMENT
dtkComposerNodeNumberOperatorUnaryIncr n_incr;
QVERIFY(n_incr.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_incr.emitters().first()));
n_incr.run();
n_end.run();
QCOMPARE((v_r + 1), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_incr.emitters().first()));
// DECREMENT
dtkComposerNodeNumberOperatorUnaryDecr n_decr;
QVERIFY(n_decr.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_decr.emitters().first()));
n_decr.run();
n_end.run();
QCOMPARE((v_r - 1), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_decr.emitters().first()));
// SQRT
dtkComposerNodeNumberOperatorUnarySqrt n_sqrt;
QVERIFY(n_sqrt.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_sqrt.emitters().first()));
n_sqrt.run();
n_end.run();
QCOMPARE(qSqrt(v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_sqrt.emitters().first()));
// SQUARE
dtkComposerNodeNumberOperatorUnarySquare n_square;
QVERIFY(n_square.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_square.emitters().first()));
n_square.run();
n_end.run();
QCOMPARE((v_r * v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_square.emitters().first()));
// LN
dtkComposerNodeNumberOperatorUnaryLn n_ln;
QVERIFY(n_ln.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_ln.emitters().first()));
n_ln.run();
n_end.run();
QCOMPARE(qLn(v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_ln.emitters().first()));
// LOG10
dtkComposerNodeNumberOperatorUnaryLog10 n_log10;
QVERIFY(n_log10.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_log10.emitters().first()));
n_log10.run();
n_end.run();
QCOMPARE(qLn(v_r)/qLn(10.), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_log10.emitters().first()));
// EXP
dtkComposerNodeNumberOperatorUnaryExp n_exp;
QVERIFY(n_exp.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_exp.emitters().first()));
n_exp.run();
n_end.run();
QCOMPARE(qExp(v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_exp.emitters().first()));
// COS
dtkComposerNodeNumberOperatorUnaryCos n_cos;
QVERIFY(n_cos.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_cos.emitters().first()));
n_cos.run();
n_end.run();
QCOMPARE(qCos(v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_cos.emitters().first()));
// SIN
dtkComposerNodeNumberOperatorUnarySin n_sin;
QVERIFY(n_sin.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_sin.emitters().first()));
n_sin.run();
n_end.run();
QCOMPARE(qSin(v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_sin.emitters().first()));
// TAN
dtkComposerNodeNumberOperatorUnaryTan n_tan;
QVERIFY(n_tan.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_tan.emitters().first()));
n_tan.run();
n_end.run();
QCOMPARE(qTan(v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_tan.emitters().first()));
// ACOS
dtkComposerNodeNumberOperatorUnaryAcos n_acos;
QVERIFY(n_acos.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_acos.emitters().first()));
n_acos.run();
n_end.run();
QCOMPARE(qAcos(v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_acos.emitters().first()));
// ASIN
dtkComposerNodeNumberOperatorUnaryAsin n_asin;
QVERIFY(n_asin.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_asin.emitters().first()));
n_asin.run();
n_end.run();
QCOMPARE(qAsin(v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_asin.emitters().first()));
// ATAN
dtkComposerNodeNumberOperatorUnaryAtan n_atan;
QVERIFY(n_atan.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_atan.emitters().first()));
n_atan.run();
n_end.run();
QCOMPARE(qAtan(v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_atan.emitters().first()));
// DEG2RAD
dtkComposerNodeNumberOperatorUnaryDeg2Rad n_d2r;
QVERIFY(n_d2r.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_d2r.emitters().first()));
n_d2r.run();
n_end.run();
QCOMPARE((v_r * M_PI / 180.), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_d2r.emitters().first()));
// RAD2DEG
dtkComposerNodeNumberOperatorUnaryRad2Deg n_r2d;
QVERIFY(n_r2d.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_r2d.emitters().first()));
n_r2d.run();
n_end.run();
QCOMPARE((v_r / M_PI * 180.), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_r2d.emitters().first()));
// INVERSE
dtkComposerNodeNumberOperatorUnaryInv n_inv;
QVERIFY(n_inv.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_inv.emitters().first()));
n_inv.run();
n_end.run();
QCOMPARE((1. / v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_inv.emitters().first()));
// OPPOSITE
dtkComposerNodeNumberOperatorUnaryOpp n_opp;
QVERIFY(n_opp.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_opp.emitters().first()));
n_opp.run();
n_end.run();
QCOMPARE((-v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_opp.emitters().first()));
// ABS
dtkComposerNodeNumberOperatorUnaryAbs n_abs;
QVERIFY(n_abs.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_end.receivers().first()->connect(n_abs.emitters().first()));
n_abs.run();
n_end.run();
QCOMPARE(qAbs(v_r), n_end.value());
QVERIFY(n_end.receivers().first()->disconnect(n_abs.emitters().first()));
dtkComposerNodeInteger n_iend;
// CEIL
dtkComposerNodeNumberOperatorUnaryCeil n_ceil;
QVERIFY(n_ceil.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_iend.receivers().first()->connect(n_ceil.emitters().first()));
n_ceil.run();
n_iend.run();
QCOMPARE(qCeil(v_r), static_cast<int>(n_iend.value()));
QVERIFY(n_iend.receivers().first()->disconnect(n_ceil.emitters().first()));
// FLOOR
dtkComposerNodeNumberOperatorUnaryFloor n_floor;
QVERIFY(n_floor.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_iend.receivers().first()->connect(n_floor.emitters().first()));
n_floor.run();
n_iend.run();
QCOMPARE(qFloor(v_r), static_cast<int>(n_iend.value()));
QVERIFY(n_iend.receivers().first()->disconnect(n_floor.emitters().first()));
// ROUND
dtkComposerNodeNumberOperatorUnaryRound n_round;
QVERIFY(n_round.receivers().first()->connect(n_r.emitters().first()));
QVERIFY(n_iend.receivers().first()->connect(n_round.emitters().first()));
n_round.run();
n_iend.run();
QCOMPARE(qRound(v_r), static_cast<int>(n_iend.value()));
QVERIFY(n_iend.receivers().first()->disconnect(n_round.emitters().first()));
}
static T getRoll(const QQuaternion &q)
{
return qAsin(2 * q.scalar() * q.y() - 2 * q.x() * q.z());
}
QVector2D SphereGenerator::uvCoord(QVector3D xyz, double radius)
{
xyz /= radius;
return QVector2D(0.5 + qAtan2(xyz.z(), xyz.x()) / (2 * M_PI),
0.5 - qAsin(xyz.y()) / M_PI);
}