static int point_in_poly(double* xcor, double* ycor, long int ncor, double x, double y)
{
double xv, yv, xnv, ynv;
int i;
quadrant_type quad, next_quad, delta, angle;
/* initialize */
xv = xcor[0]; yv = ycor[0];
quad = quadrant(xv,yv, x, y);
angle = 0;
/* loop on all vertices of polygon */
for (i=1; i<ncor; i++) {
xnv = xcor[i]; ynv = ycor[i];
/* calculate quadrant and delta from last quadrant */
next_quad = quadrant(xnv,ynv, x, y);
delta = next_quad - quad;
adjust_delta(delta,xv,yv,xnv,ynv,x,y);
/* add delta to total angle sum */
angle = angle + delta;
/* increment for next step */
quad = next_quad;
xv = xnv; yv = ynv;
}
/* complete 360 degrees (angle of + 4 or -4 ) means inside */
if ((angle == +4) || (angle == -4)) return 1; else return 0;
}
void arc_extreme(double x0, double y0, double x1, double y1, double xc, double yc)
/* start, end, center */
{
/* assumes center isn't too far out */
double r, xmin, ymin, xmax, ymax;
int j, k;
x0 -= xc; y0 -= yc; /* move to center */
x1 -= xc; y1 -= yc;
xmin = (x0<x1)?x0:x1; ymin = (y0<y1)?y0:y1;
xmax = (x0>x1)?x0:x1; ymax = (y0>y1)?y0:y1;
r = sqrt(x0*x0 + y0*y0);
if (r > 0.0) {
j = quadrant(x0,y0);
k = quadrant(x1,y1);
if (j == k && y1*x0 < x1*y0) {
/* viewed as complex numbers, if Im(z1/z0)<0, arc is big */
if( xmin > -r) xmin = -r; if( ymin > -r) ymin = -r;
if( xmax < r) xmax = r; if( ymax < r) ymax = r;
} else {
while (j != k) {
switch (j) {
case 1: if( ymax < r) ymax = r; break; /* north */
case 2: if( xmin > -r) xmin = -r; break; /* west */
case 3: if( ymin > -r) ymin = -r; break; /* south */
case 4: if( xmax < r) xmax = r; break; /* east */
}
j = j%4 + 1;
}
}
}
xmin += xc; ymin += yc;
xmax += xc; ymax += yc;
extreme(xmin, ymin);
extreme(xmax, ymax);
}
int32 Box3f::findQuadrant( float x, float y, float z,
int32 n, const MatrixR& MVP )
{
float c = MVP[0][n]*x + MVP[1][n]*y + MVP[2][n]*z + MVP[3][n] ;
float w = MVP[0][3]*x + MVP[1][3]*y + MVP[2][3]*z + MVP[3][3] ;
return quadrant(c, w);
}
bool operator <(RationalAngle const &v2) const
{
int x1, y1, x2, y2;
int qa = quadrant(x1, y1), qb = v2.quadrant(x2, y2);
return qa != qb ? qa < qb
: y1*x2 < y2*x1; // Same as y1/x1 < y2/x2, using real numbers. (And works even with x1 or x2 = 0.)
}
/*! \fn suppressionKernel(Pgm *pgmMod, Pgm* pgmPhi, double* kernel, int spanX, int spanY, int ic)
* \brief Return the result of applying non-maximum suppression to a pixel of \a pgmIn1.
*
* \param pgmMod Pointer to the Pgm structure containing the modulus component.
* \param pgmPhi Pointer to the Pgm structure containing the phase component.
* \param kernel Not used.
* \param spanX Not used.
* \param spanY Not used.
* \param ic The linear index of the central subarray pixel in \a pgmIn1.
* \return The result the result of non-maximum suppression.
*/
int suppressionKernel(Pgm *pgmMod, Pgm* pgmPhi, double* kernel, int spanX, int spanY, int ic)
{
int k,l, il;
int pixels[9];
int ix = 0;
int width = pgmMod->width;
// Define the left, right, top and bottom span from the
// center to match the 3x3 pixels matrix
spanX = 1;
spanY = 1;
// Copy the image pixels in a local pixels array
for (k=-spanY, il = ic-width*spanY; k <= spanY; k++, il += width)
for (l=-spanX; l <= spanX; l++) {
pixels[ix++] = pgmMod->pixels[il+l];
}
// Compute the quadrant of the phase of the central image pixel
int q = quadrant((int)(180.0*pgmPhi->pixels[ic]/127));
// Check if the central pixel is the maximum along the direction
// perpendicular to the orientation of the gradient
if((pixels[4] >= pixels[neighbors[2*q]]) && (pixels[4] >= pixels[neighbors[2*q+1]]))
return pixels[4];
return 0;
}
/**
* Returns the quadrant of a directed line segment from p0 to p1.
*/
int Quadrant::quadrant(const Coordinate& p0, const Coordinate& p1) {
double dx=p1.x-p0.x;
double dy=p1.y-p0.y;
if (dx==0.0 && dy==0.0)
{
throw util::IllegalArgumentException("Cannot compute the quadrant for two identical points " + p0.toString());
}
return quadrant(dx, dy);
}
void Particle::calculateSpin() {
//calculamos el nuevo vector de orientacion
_vertex3f nuevo;
nuevo=_posEnd-_posBegin;
nuevo.normalize();
//guardamos el anterior giro
_spinBegin=normalize(_spinNow);
//calculamos el giro de destino
_spinEnd = atan2(nuevo.x,nuevo.z)/M_PI*180.0;
_spinEnd = this->normalize(_spinEnd);
//Calculamos el signo del incremento en el giro
int signo;
if ( quadrant(_spinBegin) < 3 ) { //alfa en 1º y 2º cuadrante
if ( _spinEnd < _spinBegin || _spinEnd > normalize(_spinBegin+180) )
signo = -1;
else
signo = 1;
}else { //alfa en 3º y 4º cuadrante
if ( _spinEnd > _spinBegin || _spinEnd < _spinBegin-180 )
signo = 1;
else
signo = -1;
}
//Calculamos el incremento
if ( fabs(_spinEnd-_spinBegin) > 180) {
if ( quadrant(_spinBegin) < 3 ) {
_incSpin = (fabs((360-_spinEnd)+_spinBegin) / this->_tickTotalSpin) * signo;
}else {
_incSpin = (fabs(_spinEnd+(360-_spinBegin)) / this->_tickTotalSpin) * signo;
}
}else {
_incSpin = (fabs(_spinEnd-_spinBegin) / this->_tickTotalSpin) * signo;
}
//ticks actuales
_tick = 0;
}
static void arc_extreme(double x0, double y0, double x1, double y1, double xc, double yc)
/* start, end, center */
{ /* assumes center isn't too far out */
double r;
int j, k;
printf("#start %g,%g, end %g,%g, ctr %g,%g\n", x0,y0, x1,y1, xc,yc);
y0 = -y0; y1 = -y1; yc = -yc; // troff's up is eric's down
x0 -= xc; y0 -= yc; /* move to center */
x1 -= xc; y1 -= yc;
xmin = (x0<x1)?x0:x1; ymin = (y0<y1)?y0:y1;
xmax = (x0>x1)?x0:x1; ymax = (y0>y1)?y0:y1;
r = sqrt(x0*x0 + y0*y0);
if (r > 0.0) {
j = quadrant(x0,y0);
k = quadrant(x1,y1);
if (j == k && y1*x0 < x1*y0) {
/* viewed as complex numbers, if Im(z1/z0)<0, arc is big */
if( xmin > -r)
xmin = -r;
if( ymin > -r)
ymin = -r;
if( xmax < r)
xmax = r;
if( ymax < r)
ymax = r;
} else {
while (j != k) {
switch (j) {
case 1: if( ymax < r) ymax = r; break; /* north */
case 2: if( xmin > -r) xmin = -r; break; /* west */
case 3: if( ymin > -r) ymin = -r; break; /* south */
case 4: if( xmax < r) xmax = r; break; /* east */
}
j = j%4 + 1;
}
}
}
xmin += xc; ymin += yc; ymin = -ymin;
xmax += xc; ymax += yc; ymax = -ymax;
}
static bool
bdown_event(Window *w, void *aux, XButtonEvent *e) {
Frame *f;
Client *c;
c = aux;
f = c->sel;
if((e->state & def.mod) == def.mod) {
switch(e->button) {
case Button1:
focus(c, false);
mouse_resize(c, Center, true);
break;
case Button2:
frame_restack(f, nil);
view_restack(f->view);
focus(c, false);
grabpointer(c->framewin, nil, cursor[CurNone], ButtonReleaseMask);
break;
case Button3:
focus(c, false);
mouse_resize(c, quadrant(f->r, Pt(e->x_root, e->y_root)), true);
break;
default:
XAllowEvents(display, ReplayPointer, e->time);
break;
}
}else {
if(e->button == Button1) {
if(!e->subwindow) {
frame_restack(f, nil);
view_restack(f->view);
mouse_checkresize(f, Pt(e->x, e->y), true);
}
if(f->client != selclient())
focus(c, false);
}
if(e->subwindow)
XAllowEvents(display, ReplayPointer, e->time);
else {
/* Ungrab so a menu can receive events before the button is released */
XUngrabPointer(display, e->time);
sync();
event("ClientMouseDown %#C %d\n", f->client, e->button);
}
}
return false;
}
/**
* Assumes that @mask represents a network mask and returns its prefix length.
*/
static __u8 dot_decimal_to_cidr(struct in6_addr *mask)
{
__u32 quad;
unsigned int i;
unsigned int j;
for (i = 0; i < 4; i++) {
quad = quadrant(mask, i);
if (quad == 0)
return 32 * i;
if (quad != 0xFFFFFFFFu) {
for (j = 0; last_bit_is_zero(quad); j++)
quad >>= 1;
return 32 * (i + 1) - j;
}
}
return 128;
}
int findBestQuadrant(TH1D *ahisto) {
Int_t quadrant(0);
Float_t qarea(0.0);
Float_t qqarea[4];
Float_t max_x(0.0), min_x(0.0), tot_x(0.0);
Float_t sfactor(0.0);
Int_t max_bin(0), sep_bin(0), k;
Float_t value = 0;
Float_t maxvalue =0;
Float_t maximum = ahisto->GetMaximum();
max_x=(ahisto->GetXaxis())->GetXmax();
min_x=(ahisto->GetXaxis())->GetXmin();
tot_x= max_x - min_x;
qarea=(tot_x*maximum)/4;
max_bin=ahisto->GetNbinsX();
sep_bin=max_bin/4;
sfactor=tot_x/max_bin;
qqarea[0]=qarea-sfactor*(ahisto->Integral(1,sep_bin));
qqarea[1]=qarea-sfactor*(ahisto->Integral(sep_bin+1,2*sep_bin));
qqarea[2]=qarea-sfactor*(ahisto->Integral(2*sep_bin+1,3*sep_bin));
qqarea[3]=qarea-sfactor*(ahisto->Integral(3*sep_bin+1,max_bin));
//printf("%d Areas: %f %f %f %f \n",i, qqarea[0],qqarea[1],qqarea[2],qqarea[3]);
for(k=0; k<4 ; k++) {
value=qqarea[k];
if(value > maxvalue) {
maxvalue = value;
quadrant=k;
}
}
return quadrant;
}
QgsCircularString *QgsCircle::toCircularString( bool oriented ) const
{
std::unique_ptr<QgsCircularString> circString( new QgsCircularString() );
QgsPointSequence points;
QVector<QgsPoint> quad;
if ( oriented )
{
quad = quadrant();
}
else
{
quad = northQuadrant();
}
quad.append( quad.at( 0 ) );
for ( QVector<QgsPoint>::const_iterator it = quad.constBegin(); it != quad.constEnd(); ++it )
{
points.append( *it );
}
circString->setPoints( points );
return circString.release();
}
void
arc_extreme(obj *p) {
/* assumes center isn't too far out */
double x0, y0, x1, y1, xc, yc; /* start, end, center */
double r, xmin, ymin, xmax, ymax, wgt;
int j, k;
x0 = p->o_val[N_VAL+2].f - (xc = p->o_x); /* translate to center */
y0 = p->o_val[N_VAL+3].f - (yc = p->o_y);
x1 = p->o_val[N_VAL+4].f - xc;
y1 = p->o_val[N_VAL+5].f - yc;
xmin = (x0<x1)?x0:x1;
ymin = (y0<y1)?y0:y1;
xmax = (x0>x1)?x0:x1;
ymax = (y0>y1)?y0:y1;
r = p->o_val[N_VAL].f;
if (r > 0.0) {
j = quadrant(x0,y0);
k = quadrant(x1,y1);
if (j == k && y1*x0 <= x1*y0) {
/* viewed as complex numbers, if Im(z1/z0)<0, arc is big */
if( xmin > -r)
xmin = -r;
if( ymin > -r)
ymin = -r;
if( xmax < r)
xmax = r;
if( ymax < r)
ymax = r;
} else {
while (j != k) {
switch (j) {
case 1:
if( ymax < r) ymax = r;
break; /* north */
case 2:
if( xmin > -r) xmin = -r;
break; /* west */
case 3:
if( ymin > -r) ymin = -r;
break; /* south */
case 4:
if( xmax < r) xmax = r;
break; /* east */
}
j = j%4 + 1;
}
}
}
if (p->o_type == SECTOR) { /* include center */
if (xmin * xmax > 0) {
if (xmin > 0) xmin = 0;
else xmax = 0;
}
if (ymin * ymax > 0) {
if (ymin > 0) ymin = 0;
else ymax = 0;
}
}
p->o_wid = xmax - xmin;
p->o_ht = ymax - ymin;
p->o_val[N_VAL+6].f = -0.5 * (xmin+xmax); /* record offset to center */
p->o_val[N_VAL+7].f = -0.5 * (ymin+ymax);
wgt = p->o_weight/2;
track_bounds(xmin+xc-wgt, ymin+yc-wgt, xmax+xc+wgt, ymax+yc+wgt);
}
/**
* @brief View-volume culling
*
* View-volume culling: axis-aligned bounding box against view volume,
* given as Model/View/Projection matrix.
* Inputs:
* MVP: Matrix from object to NDC space
* (model/view/projection)
* Inputs/Outputs:
* cullBits: Keeps track of which planes we need to test against.
* Has three bits, for X, Y and Z. If cullBits is 0,
* then the bounding box is completely inside the view
* and no further cull tests need be done for things
* inside the bounding box. Zero bits in cullBits mean
* the bounding box is completely between the
* left/right, top/bottom, or near/far clipping planes.
* Outputs:
* bool: TRUE if bbox is completely outside view volume
* defined by MVP.
*
*
*
* How:
*
* An axis-aligned bounding box is the set of all points P,
* Pmin < P < Pmax. We're interested in finding out whether or not
* any of those points P are clipped after being transformed through
* MVP (transformed into clip space).
*
* A transformed point P'[x,y,z,w] is inside the view if [x,y,z] are
* all between -w and w. Otherwise the point is outside the view.
*
* Instead of testing individual points, we want to treat the range of
* points P. We want to know if: All points P are clipped (in which
* case the cull test succeeds), all points P are NOT clipped (in
* which case they are completely inside the view volume and no more
* cull tests need be done for objects inside P), or some points are
* clipped and some aren't.
*
* P transformed into clip space is a 4-dimensional solid, P'. To
* speed things up, this algorithm finds the 4-dimensional,
* axis-aligned bounding box of that solid and figures out whether or
* not that bounding box intersects any of the sides of the view
* volume. In the 4D space with axes x,y,z,w, the view volume planes
* are the planes x=w, x=-w, y=w, y=-w, z=w, z=-w.
*
* This is all easier to think about if we think about each of the X,
* Y, Z axes in clip space independently; worrying only about the X
* axis for a moment:
*
* The idea is to find the minimum and maximum possible X,W
* coordinates of P'. If all of the points in the
* [(Xmin,Xmax),(Wmin,Wmax)] range satisfy -|W| < X < |W| (|W| is
* absolute value of W), then the original bounding box P is
* completely inside the X-axis (left/right) clipping planes of the
* view volume. In (x,w) space, a point (x,w) is clipped depending on
* which quadrant it is in:
*
* x=-w x=w
* \ Q0 /
* \ IN /
* \ /
* \ /
* Q1 \/ Q2
* CLIPPED /\ CLIPPED
* / \
* / \
* / Q3 \
* / CLIPPED\
*
* If the axis-aligned box [(Xmin,Xmax),(Wmin,Wmax)] lies entirely in
* Q0, then it is entirely inside the X-axis clipping planes (IN
* case). If it is not in Q0 at all, then it is clipped (OUT). If it
* straddles Q0 and some other quadrant, the bounding box intersects
* the clipping planes (STRADDLE). The 4 corners of the bounding box
* are tested first using bitwise tests on their quadrant numbers; if
* they determine the case is STRADDLE then a more refined test is
* done on the 8 points of the original bounding box.
* The test isn't perfect-- a bounding box that straddles both Q1 and
* Q2 may be incorrectly classified as STRADDLE; however, those cases
* are rare and the cases that are incorrectly classified will likely
* be culled when testing against the other clipping planes (these
* cases are cases where the bounding box is near the eye).
*
* Finding [(Xmin,Xmax),(Wmin,Wmax)] is easy. Consider Xmin. It is
* the smallest X coordinate when all of the points in the range
* Pmin,Pmax are transformed by MVP; written out:
* X = P[0]*M[0][0] + P[1]*M[1][0] + P[2]*M[2][0] + M[3][0]
* X will be minimized when each of the terms is minimized. If the
* matrix entry for the term is positive, then the term is minimized
* by choosing Pmin; if the matrix entry is negative, the term is
* minimized by choosing Pmax. Three 'if' test will let us calculate
* the transformed Xmin. Xmax can be calculated similarly.
*
* Testing for IN/OUT/STRADDLE for the Y and Z coordinates is done
* exactly the same way.
*/
bool Box3f::outside(const MatrixR& MVP, int32& cullBits) const
{
float Wmax = minExtreme(m_max, m_min, MVP, 3);
if (Wmax < 0) return true;
float Wmin = minExtreme(m_min, m_max, MVP, 3);
// Do each coordinate:
for (int32 i = 0; i < 3; i++)
{
if (cullBits & (1<<i))
{ // STRADDLES:
float Cmin = minExtreme(m_min, m_max, MVP, i);
// The and_bits and or_bits are used to keep track of
// which quadrants point lie in. The cases are:
//
// All in Q0: IN
// (or_bits == 0) --> and_bits MUST also be 0
// Some/all in Q1, some/all in Q3: CULLED
// Some/all in Q2, some/none in Q3: CULLED
// (and_bits != 0, or_bits != 0)
// Some in Q1, some in Q2, some/none in Q3: STRADDLE
// (and_bits == 0, or_bits !=0)
//
int32 and_bits;
int32 or_bits;
and_bits = or_bits = quadrant(Cmin, Wmin);
int32 q0 = quadrant(Cmin, Wmax);
and_bits &= q0;
or_bits |= q0;
// Hit the STRADDLE case as soon as and_bits == 0 and
// or_bits != 0:
if (!(and_bits == 0 && or_bits != 0))
{
float Cmax = minExtreme(m_max, m_min, MVP, i);
q0 = quadrant(Cmax, Wmin);
and_bits &= q0;
or_bits |= q0;
if (!(and_bits == 0 && or_bits != 0))
{
q0 = quadrant(Cmax, Wmax);
and_bits &= q0;
or_bits |= q0;
// Either completely IN or completely OUT:
if (or_bits == 0)
{ // IN
cullBits &= ~(1<<i); // Clear bit
continue; // Continue for loop
}
else if (and_bits != 0)
{
return true; // CULLED
}
}
}
// Before we give up and just claim it straddles, do a
// more refined test-- check the 8 corners of the
// bounding box:
// Test to see if all 8 corner points of the bounding box
// are in the same quadrant. If so, the object is either
// completely in or out of the view. Otherwise, it straddles
// at least one of the view boundaries.
and_bits = or_bits = findQuadrant(m_min[0], m_min[1], m_min[2], i, MVP);
if (and_bits == 0 && or_bits != 0) continue;
q0 = findQuadrant(m_max[0], m_max[1], m_max[2], i, MVP);
and_bits &= q0;
or_bits |= q0;
if (and_bits == 0 && or_bits != 0) continue;
q0 = findQuadrant(m_max[0], m_min[1], m_min[2], i, MVP);
and_bits &= q0;
or_bits |= q0;
if (and_bits == 0 && or_bits != 0) continue;
q0 = findQuadrant(m_min[0], m_max[1], m_max[2], i, MVP);
and_bits &= q0;
or_bits |= q0;
if (and_bits == 0 && or_bits != 0) continue;
q0 = findQuadrant(m_min[0], m_max[1], m_min[2], i, MVP);
and_bits &= q0;
or_bits |= q0;
if (and_bits == 0 && or_bits != 0) continue;
q0 = findQuadrant(m_max[0], m_min[1], m_max[2], i, MVP);
and_bits &= q0;
or_bits |= q0;
if (and_bits == 0 && or_bits != 0) continue;
q0 = findQuadrant(m_max[0], m_max[1], m_min[2], i, MVP);
and_bits &= q0;
or_bits |= q0;
if (and_bits == 0 && or_bits != 0) continue;
q0 = findQuadrant(m_min[0], m_min[1], m_max[2], i, MVP);
and_bits &= q0;
or_bits |= q0;
// Either completely IN or completely OUT:
if (or_bits == 0)
{ // IN
cullBits &= ~(1<<i); // Clear bit
continue; // Continue for loop
}
else if (and_bits != 0)
{
return true; // CULLED
}
}
}
return false;// Not culled
}
RcppExport SEXP bbivDPM(SEXP arg1, SEXP arg2, SEXP arg3) {
// 3 arguments
// arg1 for parameters
// arg2 for data
// arg3 for Gibbs
// data
List list2(arg2);
const MatrixXd X=as< Map<MatrixXd> >(list2["X"]),
Z=as< Map<MatrixXd> >(list2["Z"]);
const VectorXi v1=as< Map<VectorXi> >(list2["tbin"]),
v2=as< Map<VectorXi> >(list2["ybin"]);
const int N=X.rows(), p=X.cols(), q=Z.cols(), r=p+q, s=p+r;
#ifdef DEBUG_NEAL8
List P, Phi, B;
VectorXi S, one;
one.setConstant(N, 1);
#endif
// parameters
List list1(arg1),
beta_info=list1["beta"],
rho_info=list1["rho"],
mu_info=list1["mu"],
theta_info=list1["theta"],
dpm_info=list1["dpm"], // DPM
alpha_info=dpm_info["alpha"], // alpha random
alpha_prior; // alpha random
const int m=as<int>(dpm_info["m"]); // DPM
// const double alpha=as<double>(dpm_info["alpha"]); // DPM
const int alpha_fixed=as<int>(alpha_info["fixed"]); // alpha random
double alpha=as<double>(alpha_info["init"]); // alpha random
if(alpha_fixed==0) alpha_prior=alpha_info["prior"]; // alpha random
VectorXi C=as< Map<VectorXi> >(dpm_info["C"]),
states=as< Map<VectorXi> >(dpm_info["states"]);
/* checks done in neal8
if(states.sum()!=N || C.size()!=N) { // limited reality check of C and states
C.setConstant(N, 0);
states.setConstant(1, N);
}
*/
// prior parameters
List beta_prior=beta_info["prior"],
// no prior parameters for rho
dpm_prior=dpm_info["prior"],
theta_prior=theta_info["prior"];
const double beta_prior_mean=as<double>(beta_prior["mean"]);
const double beta_prior_prec=as<double>(beta_prior["prec"]);
const VectorXd theta_prior_mean=as< Map<VectorXd> >(theta_prior["mean"]);
const MatrixXd theta_prior_prec=as< Map<MatrixXd> >(theta_prior["prec"]);
// initialize parameters
double beta =as<double>(beta_info["init"]);
double rho_init=as<double>(rho_info["init"]); // DPM
//int rho_MH =as<int>(rho_info["MH"]);
Vector2d mu_init=as< Map<VectorXd> >(mu_info["init"]); // DPM
VectorXd theta =as< Map<VectorXd> >(theta_info["init"]);
VectorXd rho(N); // DPM
/*
VectorXi C, states; // DPM
C.setConstant(N, 0); // DPM
states.setConstant(1, N); // DPM
*/
MatrixXd mu(N, 2), phi(1, 3); // DPM
phi(0, 0)=mu_init[0]; // DPM
phi(0, 1)=mu_init[1]; // DPM
phi(0, 2)=rho_init; // DPM
// Gibbs
List list3(arg3);
const int burnin=as<int>(list3["burnin"]), M=as<int>(list3["M"]),
thin=as<int>(list3["thin"]);
VectorXi quadrant(N);
VectorXd t(N), y(N); // latents
// prior parameter intermediate values
double beta_prior_prod=beta_prior_prec * beta_prior_mean;
VectorXd theta_prior_prod=theta_prior_prec * theta_prior_mean;
Matrix2d Sigma, Tprec, B_inverse;
B_inverse.setIdentity();
VectorXd gamma=theta.segment(0, p),
delta=theta.segment(p, q),
eta =theta.segment(r, p);
MatrixXd eps(N, 2), D(N, 2), theta_cond_var_root(s, s), W(2, s), A(N, r+4); // DPM semi
W.setZero();
MatrixXd theta_cond_prec(s, s);
VectorXd theta_cond_prod(s), w(r), mu_t(N), mu_y(N), sd_y(N);
Vector2d u, R, mu_u; // DPM
double beta_prec, beta_prod, beta_cond_var, beta_cond_mean, beta2; // DPM
int h=0, i, l;
List GS(M); //DPM
// assign quadrants
for(i=0; i<N; ++i) {
if(v1[i]==0 && v2[i]==0) quadrant[i] = 3;
else if(v1[i]==0 && v2[i]==1) quadrant[i] = 2;
else if(v1[i]==1 && v2[i]==0) quadrant[i] = 4;
else if(v1[i]==1 && v2[i]==1) quadrant[i] = 1;
}
// Gibbs loop
//for(int l=-burnin; l<=(M-1)*thin; ++l) {
l=-burnin;
do{
// populate mu/rho //DPM
for(i=0; i<N; ++i) {
mu(i, 0)=phi(C[i], 0);
mu(i, 1)=phi(C[i], 1);
rho[i]=phi(C[i], 2);
mu_t[i]=mu(i, 0);
mu_y[i]=mu(i, 1);
}
// generate latents
// mu_t = mu.col(0); //DPM
mu_t += (Z*delta + X*gamma);
// mu_y = mu.col(1); //DPM
mu_y += (beta*mu_t + X*eta);
beta2=pow(beta, 2.);
for(i=0; i<N; ++i) {
sd_y[i] = sqrt(beta2+2.*beta*rho[i]+1.); //DPM
mu_u[0]=mu_t[i];
mu_u[1]=mu_y[i]/sd_y[i]; //DPM
// z, quadrant, rho, burnin
u=rbvtruncnorm(mu_u, quadrant[i], (beta+rho[i])/sd_y[i], 10);
t[i]=u[0];
y[i]=sd_y[i]*u[1];
}
// sample beta
D.col(0) = (t - mu.col(0) - X*gamma - Z*delta); //DPM
D.col(1) = (y - mu.col(1) - X*eta); //DPM
beta_prec=0.;
beta_prod=0.;
for(i=0; i<N; ++i) {
double Sigma_det=1.-pow(rho[i], 2.); //DPM
beta_prec += pow(t[i], 2.)/Sigma_det; //DPM
beta_prod += -t[i]*(rho[i]*D(i, 0)-D(i, 1))/Sigma_det; //DPM
}
beta_cond_var=1./(beta_prec+beta_prior_prec);
beta_cond_mean=beta_cond_var*(beta_prod+beta_prior_prod);
beta=rnorm1d(beta_cond_mean, sqrt(beta_cond_var));
B_inverse(1, 0)=-beta;
// sample theta
theta_cond_prec=theta_prior_prec;
theta_cond_prod=theta_prior_prod;
for(i=0; i<N; ++i) {
double Sigma_det=1.-pow(rho[i], 2.); //DPM
Tprec(0, 0)=1./Sigma_det; Tprec(0, 1)=-rho[i]/Sigma_det; //DPM
Tprec(1, 0)=-rho[i]/Sigma_det; Tprec(1, 1)=1./Sigma_det; //DPM
mu_u[0]=mu(i, 0); //DPM
mu_u[1]=mu(i, 1); //DPM
W.block(0, 0, 1, p)=X.row(i);
W.block(0, p, 1, q)=Z.row(i);
W.block(1, r, 1, p)=X.row(i);
theta_cond_prec += (W.transpose() * Tprec * W);
u[0]=t[i];
u[1]=y[i];
R=B_inverse*u-mu_u; //DPM
theta_cond_prod += (W.transpose() * Tprec * R);
}
theta_cond_var_root=inv_root_chol(theta_cond_prec);
theta=theta_cond_var_root*(rnormXd(s)+theta_cond_var_root.transpose()*theta_cond_prod);
gamma=theta.segment(0, p);
delta=theta.segment(p, q);
eta =theta.segment(r, p);
// sample mu and rho
// this for block should be placed in P0
// however, to keep changes minimal, we keep it here
for(i=0; i<N; ++i) {
W.block(0, 0, 1, p)=X.row(i);
W.block(0, p, 1, q)=Z.row(i);
W.block(1, r, 1, p)=X.row(i);
u[0]=t[i];
u[1]=y[i];
eps.row(i) = (B_inverse*u - W*theta).transpose(); //DPM
}
/* semi block begins */
A.block(0, 0, N, 2)=eps;
A.col(2)=t;
A.col(3)=y;
A.block(0, 4, N, p)=X;
A.block(0, p+4, N, q)=Z;
List psi=List::create(Named("mu0")=as< Map<VectorXd> >(dpm_prior["mu0"]),
Named("T0")=as< Map<MatrixXd> >(dpm_prior["T0"]),
Named("S0")=as< Map<MatrixXd> >(dpm_prior["S0"]),
Named("beta")=beta,
Named("gamma")=gamma,
Named("delta")=delta,
Named("eta")=eta);
if(alpha_fixed==0)
alpha=bbiv_alpha(states.size(), N, alpha, alpha_prior); // alpha random
List dpm_step=neal8(A, C, phi, states, m, alpha, psi,
&bbivF, &bbivG0, &bbivP0);
/* semi block end */
/*
C=as< Map<VectorXi> >(dpm_step[0]);
phi=as< Map<MatrixXd> >(dpm_step[1]);
states=as< Map<VectorXi> >(dpm_step[2]);
*/
C=as< Map<VectorXi> >(dpm_step["C"]);
phi=as< Map<MatrixXd> >(dpm_step["phi"]);
states=as< Map<VectorXi> >(dpm_step["states"]);
#ifdef DEBUG_NEAL8
S=as< Map<VectorXi> >(dpm_step["S"]);
P=dpm_step["P"];
Phi=dpm_step["Phi"];
B=dpm_step["B"];
#endif
if(l>=0 && l%thin == 0) {
h = (l/thin);
#ifdef DEBUG_NEAL8
GS[h]=List::create(Named("beta")=beta, Named("theta")=theta,
Named("C")=C+one, Named("phi")=phi,
Named("states")=states, Named("alpha")=alpha,
Named("S")=S+one, Named("P")=P,
Named("Phi")=Phi, Named("B")=B);
#else
if(alpha_fixed==0) // alpha random
GS[h]=List::create(Named("beta")=beta, Named("theta")=theta,
Named("C")=C, Named("phi")=phi,
Named("states")=states, Named("alpha")=alpha);
else GS[h]=List::create(Named("beta")=beta, Named("theta")=theta,
Named("C")=C, Named("phi")=phi, Named("states")=states);
#endif
// GS[h]=List::create(Named("beta")=beta, Named("theta")=theta,
// Named("C")=C, Named("phi")=phi, Named("states")=states,
// Named("m")=m, Named("alpha")=alpha, Named("psi")=psi);
}
l++;
} while (l<=(M-1)*thin);
return wrap(GS);
}