/*!
Print to stdout the values of the current visual feature.
\param select : Selection of a subset of the possible 2D image point
feature coordinates.
- To print all the two polar coordinates \f$(\rho,\theta)\f$ used as
features use vpBasicFeature::FEATURE_ALL.
- To print only one of the polar coordinate
feature \f$(\rho,\theta)\f$ use one of the
corresponding function selectRho() or selectTheta().
\code
// Creation of the current feature s
vpFeaturePointPolar s;
s.buildFrom(0.1, M_PI_2, 1.3);
s.print(); // print all the 2 components of the image point feature
s.print(vpBasicFeature::FEATURE_ALL); // same behavior then previous line
s.print(vpFeaturePointPolar::selectRho()); // print only the rho component
\endcode
*/
void
vpFeaturePointPolar::print(const int select ) const
{
std::cout <<"Point: Z=" << get_Z() ;
if (vpFeaturePointPolar::selectRho() & select )
std::cout << " rho=" << get_rho() ;
if (vpFeaturePointPolar::selectTheta() & select )
std::cout << " theta=" << get_theta() ;
std::cout <<std::endl ;
}
/*! \brief Get the probability distribution of the radiation profile.
*
* This function returns the probability distribution calculated from the radiation profile.
* This is necessary for the Monte Carlo calculation of the heat flux distribution.
*/
probabilityDistribution get_probabilityDistribution() const {
double integral = 0.0;
for(uint32_t i = 0; i < N-1; ++i) {
integral += 0.5*(*(m_powerDensity + i) + *(m_powerDensity + i + 1))*(*(m_rho + i + 1) - *(m_rho + i));
}
std::vector<double> rho = get_rho();
std::vector<double> powerDensity = get_powerDensity();
for(auto iter = powerDensity.begin(); iter != powerDensity.end(); ++iter) {
*iter /= integral;
}
return probabilityDistribution(rho, powerDensity);
}
void ascii_display_of_the_drop(
lattice_ptr lattice, int j, int rho_cut, int rho_min)
{
double rho;
const double rho_v=85.7042;
const double rho_l=524.3905;
int i, max_i = 80;
max_i = (max_i > get_LX(lattice))?( get_LX(lattice)):(max_i);
for( i=0; i<max_i; i++)
{
if( is_solid_node( lattice, /*subs=*/0, IJ2N(i,j)))
{
printf("%2d",i%100);
if( j!=0)
{
printf("%s %d >> WARNING: "
"Function compute_drop() is designed to compute the "
"width and height of a drop forming on a "
"surface at the bottom of the domain. "
"Solid detected at (%d,%d) does not conform to that "
"configuration.\n",
__FILE__, __LINE__, i, j );
}
}
else
{
rho = get_rho(lattice,i,j,/*subs=*/0);
if( rho > rho_l)
{ printf("++"); }
else if( rho > rho_cut)
{ printf("Xx"); }
else if( rho > rho_min)
{ printf("o "); }
else if( rho < rho_v)
{ printf("--"); }
else
{ printf(". "); }
}
}
printf("%3d\n",j);
} // void ascii_display_of_the_drop( lattice_ptr lattice, int j, ...
/*!
Display image point feature.
\param cam : Camera parameters.
\param I : Image.
\param color : Color to use for the display
\param thickness : Thickness of the feature representation.
*/
void
vpFeaturePointPolar::display(const vpCameraParameters &cam,
const vpImage<unsigned char> &I,
const vpColor &color,
unsigned int thickness) const
{
try {
double rho,theta;
rho = get_rho();
theta = get_theta();
double x,y;
x = rho*cos(theta);
y = rho*sin(theta);
vpFeatureDisplay::displayPoint(x, y, cam, I, color, thickness);
}
catch(...) {
vpERROR_TRACE("Error caught") ;
throw ;
}
}
// void compute_drop( lattice_ptr lattice)
//
// Compute the width and height of the drop.
//
void compute_drop( lattice_ptr lattice)
{
int i, j;
double rho;
const double rho_v=85.7042;
const double rho_l=524.3905;
const double rho_min=100.;
//const double rho_cut=450.;
const double rho_cut=(rho_v+rho_l)/2.;
//const double rho_cut=212.36;
//psi(rho_l)=4.*exp(-200/524.3905)
//psi(rho_v)=4.*exp(-200/85.7042)
int width=0, width_temp=0, max_width=0;
int height=0;
double theta;
double max_rho=0.;
for( j=get_LY(lattice)-1; j>=0; j--)
{
max_rho=0.;
for( i=0; i<get_LX( lattice); i++)
//for( i=0; i<170; i++)
{
//printf("%f ",get_rho(lattice,i,/*j=*/2,/*subs=*/0));
if( max_rho < fabs( get_rho(lattice,i,/*j=*/j,/*subs=*/0)))
{ max_rho = fabs( get_rho(lattice,i,/*j=*/j,/*subs=*/0)); }
}
if( max_rho > rho_min)
{
if( max_rho >= rho_cut){ height++;}
width_temp=0;
for( i=0; i<get_LX( lattice); i++)
//for( i=0; i<170; i++)
{
if(/*ascii display of the drop*/0)
{
if( is_solid_node( lattice, /*subs=*/0, IJ2N(i,j)))
{
printf("%%");
if( j!=0)
{
printf("%s %d >> WARNING: "
"Function compute_drop() is designed to compute the "
"width and height of a drop forming on a "
"surface at the bottom of the domain. "
"Solid detected at (%d,%d) does not conform to that "
"configuration.\n",
__FILE__, __LINE__, i, j );
}
}
else
{
if(get_rho(lattice,i,/*j=*/j,/*subs=*/0) > rho_cut)
{ printf("X"); width_temp++;}
else if(get_rho(lattice,i,/*j=*/j,/*subs=*/0) > rho_min)
{ printf("x"); }
else
{ printf("-"); }
}
}
else
{
if(get_rho(lattice,i,/*j=*/j,/*subs=*/0) > rho_cut)
{ width_temp++;}
}
}
if( width_temp > 0)
{
width = width_temp;
if( max_width < width)
{
max_width = width;
}
}
if(/*ascii display of the drop*/0) { printf("\n");}
}
}
printf("width=%d, height=%d, ", width, height);
printf("width/height=%f\n", (double)width/(double)height);
printf("max_width=%d\n", max_width);
printf("\n");
if( height > width)
{
// TODO: Need to double check this formula:
theta = PI/2. + atan( ((double)height/(double)width)
- ((double)width/(4.*(double)height)));
}
else if( height < width)
{
// TODO: Need to double check this formula:
theta = atan( 1./( ((double)width/(4.*(double)height))
- ((double)height/(double)width) ));
}
else if( height == width)
{
theta = PI/2.;
}
else
{
printf("%s %d >> Unhandled case: height=%d, width=%d\n",
__FILE__, __LINE__, height, width);
theta = 999.;
}
printf("theta = %f\n", theta);
printf("\n");
printf("rho_cut = %f\n", rho_cut);
printf("psi(rho_cut) = %f\n", 4.*exp(-200./rho_cut));
printf("psi(rho_v) = %f\n", 4.*exp(-200./85.7042));
printf("psi(rho_l) = %f\n", 4.*exp(-200./524.3905));
printf("psi((rho_l+rho_v)/2.) = %f\n", 4.*exp(-200./((85.7042+524.3905)/2.)));
printf("(psi(rho_v)+psi(rho_l))/2. = %f\n",
(4.*exp(-200./85.7042)+4.*exp(-200./524.3905))/2.);
rho = 212.36; printf("psi(%f) = %f\n", rho, 4.*exp(-200./rho));
//4.*exp(-200/524.3905)
//4.*exp(-200/85.7042)
} /* void compute_drop( lattice_ptr lattice) */
/*!
Compute and return the interaction matrix \f$ L \f$ associated to a
subset of the possible 2D image point features with polar
coordinates \f$(\rho,\theta)\f$.
\f[
L = \left[
\begin{array}{l}
L_{\rho} \\
\; \\
L_{\theta}\\
\end{array}
\right]
=
\left[
\begin{array}{cccccc}
\frac{-\cos \theta}{Z} & \frac{-\sin \theta}{Z} & \frac{\rho}{Z} & (1+\rho^2)\sin\theta & -(1+\rho^2)\cos\theta & 0 \\
\; \\
\frac{\sin\theta}{\rho Z} & \frac{-\cos\theta}{\rho Z} & 0 & \cos\theta /\rho & \sin\theta/\rho & -1 \\
\end{array}
\right]
\f]
where \f$Z\f$ is the 3D depth of the considered point.
\param select : Selection of a subset of the possible polar
point coordinate features.
- To compute the interaction matrix for all the two
subset features \f$(\rho,\theta)\f$ use vpBasicFeature::FEATURE_ALL. In
that case the dimension of the interaction matrix is \f$ [2 \times
6] \f$
- To compute the interaction matrix for only one of the subset
(\f$\rho,\theta\f$) use one of the corresponding function
selectRho() or selectTheta(). In that case the returned
interaction matrix is \f$ [1 \times 6] \f$ dimension.
\return The interaction matrix computed from the 2D point
polar coordinate features.
\exception vpFeatureException::badInitializationError : If the point
is behind the camera \f$(Z < 0)\f$, or if the 3D depth is null \f$(Z
= 0)\f$, or if the \f$\rho\f$ polar coordinate of the point is null.
The code below shows how to compute the interaction matrix associated to
the visual feature \f$s = (\rho,\theta)\f$.
\code
vpFeaturePointPolar s;
double rho = 0.3;
double theta = M_PI;
double Z = 1;
// Creation of the current feature s
s.buildFrom(rho, theta, Z);
// Build the interaction matrix L_s
vpMatrix L = s.interaction();
\endcode
The interaction matrix could also be build by:
\code
vpMatrix L = s.interaction( vpBasicFeature::FEATURE_ALL );
\endcode
In both cases, L is a 2 by 6 matrix. The first line corresponds to
the \f$\rho\f$ visual feature while the second one to the
\f$\theta\f$ visual feature.
It is also possible to build the interaction matrix associated to
one of the possible features. The code below shows how to consider
only the \f$\theta\f$ component.
\code
vpMatrix L_theta = s.interaction( vpFeaturePointPolar::selectTheta() );
\endcode
In that case, L_theta is a 1 by 6 matrix.
*/
vpMatrix
vpFeaturePointPolar::interaction(const unsigned int select)
{
vpMatrix L ;
L.resize(0,6) ;
if (deallocate == vpBasicFeature::user)
{
for (unsigned int i = 0; i < nbParameters; i++)
{
if (flags[i] == false)
{
switch(i){
case 0:
vpTRACE("Warning !!! The interaction matrix is computed but rho was not set yet");
break;
case 1:
vpTRACE("Warning !!! The interaction matrix is computed but theta was not set yet");
break;
case 2:
vpTRACE("Warning !!! The interaction matrix is computed but Z was not set yet");
break;
default:
vpTRACE("Problem during the reading of the variable flags");
}
}
}
resetFlags();
}
double rho = get_rho() ;
double theta = get_theta() ;
double Z_ = get_Z() ;
double c_ = cos(theta);
double s_ = sin(theta);
double rho2 = rho*rho;
if (fabs(rho) < 1e-6) {
vpERROR_TRACE("rho polar coordinate of the point is null") ;
std::cout <<"rho = " << rho << std::endl ;
throw(vpFeatureException(vpFeatureException::badInitializationError,
"rho polar coordinate of the point is null")) ;
}
if (Z_ < 0)
{
vpERROR_TRACE("Point is behind the camera ") ;
std::cout <<"Z = " << Z_ << std::endl ;
throw(vpFeatureException(vpFeatureException::badInitializationError,
"Point is behind the camera ")) ;
}
if (fabs(Z_) < 1e-6)
{
vpERROR_TRACE("Point Z coordinates is null ") ;
std::cout <<"Z = " << Z_ << std::endl ;
throw(vpFeatureException(vpFeatureException::badInitializationError,
"Point Z coordinates is null")) ;
}
if (vpFeaturePointPolar::selectRho() & select )
{
vpMatrix Lrho(1,6) ; Lrho = 0;
Lrho[0][0] = -c_/Z_ ;
Lrho[0][1] = -s_/Z_ ;
Lrho[0][2] = rho/Z_ ;
Lrho[0][3] = (1+rho2)*s_ ;
Lrho[0][4] = -(1+rho2)*c_ ;
Lrho[0][5] = 0 ;
// printf("Lrho: rho %f theta %f Z %f\n", rho, theta, Z);
// std::cout << "Lrho: " << Lrho << std::endl;
L = vpMatrix::stackMatrices(L,Lrho) ;
}
if (vpFeaturePointPolar::selectTheta() & select )
{
vpMatrix Ltheta(1,6) ; Ltheta = 0;
Ltheta[0][0] = s_/(rho*Z_) ;
Ltheta[0][1] = -c_/(rho*Z_) ;
Ltheta[0][2] = 0 ;
Ltheta[0][3] = c_/rho ;
Ltheta[0][4] = s_/rho ;
Ltheta[0][5] = -1 ;
// printf("Ltheta: rho %f theta %f Z %f\n", rho, theta, Z);
// std::cout << "Ltheta: " << Ltheta << std::endl;
L = vpMatrix::stackMatrices(L,Ltheta) ;
}
return L ;
}
// void compute_drop( lattice_ptr lattice)
//
// Compute the width and height of the drop. (SCMP)
//
void compute_drop(
lattice_ptr lattice,
int output_to_file,
int jbase,
double rho_cut,
int header)
{
int i, j;
double rho;
const double rho_v=85.7042;
const double rho_l=524.3905;
const double psi_v = 4.*exp(-200./(rho_v));
const double psi_l = 4.*exp(-200./(rho_l));
const double psi_cut=(psi_v+psi_l)/2.;
//const double rho_cut=(rho_v+rho_l)/2.;
//const double rho_cut= -200./log(.25*psi_cut);
//const double rho_cut=450.;
//const double rho_cut=100.;
double i1, i2, icut_left, icut_right;
double j1, j2, jcut;
double rho1, rho2;
// INPUTE PARAM NOW: const int jbase = 4;
// jbase frame_rate theta_low theta theta_high
// ----- ---------- ---------- ---------- ----------
// 1 100 91.909683 93.327450 94.732496
// 1 1000 90.947016 92.357518 93.755755
// 2 100 90.962932 92.396963 93.818305
// 2 1000 90.000000 91.426377 92.840531
// 3 100 89.037068 90.479460 91.909683
// 3 1000 89.037068 90.479460 91.909683
// 4 100 88.057956 89.516494 90.962932
// 4 1000 88.057956 89.516494 90.962932
const double rho_min=100.;
//const double rho_min=rho_v;
//psi(rho_l)=4.*exp(-200/524.3905)
//psi(rho_v)=4.*exp(-200/85.7042)
int width=0, width_temp=0, max_width=0, max_width_j=0;
int height=0;
double theta;
double max_rho=0.;
int imax;
int imax1;
int imax2;
double G = get_G( lattice);
double Gads = get_Gads( lattice, /*subs*/0);
jcut = -1.; // Flag value.
// Start at about 3/4 the height of the domain to skip over any condensing
// blobs on the ceiling. Main drop being measured should not be that high.
for( j=(int)floor((3./4.)*get_LY(lattice)); j>0; j--)
{
max_rho=0.;
for( i=0; i<get_LX( lattice); i++)
{ rho = get_rho(lattice,i,/*j=*/j,/*subs=*/0);
if( max_rho < fabs(rho))
{ max_rho = fabs(rho); imax = i; } }
if( /*row j crosses the drop*/ max_rho > rho_min)
{
if( max_rho > rho_cut && jcut < 0.)
{
// rho1 was assigned max_rho from row j-1.
// j1 was assigned max_rho from row j-1.
rho2 = max_rho;
imax2 = imax;
j2 = j;
// Linear interpolation of jcut:
jcut = j1 + ((j2-j1)/(rho2-rho1))*( rho_cut - rho1);
}
if( j>=jbase)
{
if( max_rho >= rho_cut){ height++;}
width_temp=0;
icut_left = -1;
icut_right = -1;
for( i=0; i<get_LX(lattice); i++)
{
rho = get_rho(lattice,i,j,/*subs=*/0);
if( rho > rho_cut)
{
if( icut_left < 0. )
{
// i1 and rho1 were set at i-1.
rho2 = rho;
i2 = i;
// Linear interpolation of icut_left:
icut_left = i1 + ((i2-i1)/(rho2-rho1))*( rho_cut - rho1);
}
else { rho1 = rho; i1 = i; /*save for interp of icut_right*/}
width_temp++;
}
else
{
if( icut_left < 0.)
{
i1 = i; rho1 = rho; /*save for interp of icut_left*/
}
else
{
if( icut_right < 0.)
{
// i1 and rho1 were set at i-1.
rho2 = rho;
i2 = i;
// Linear interpolation of icut_right:
icut_right = i1 + ((i2-i1)/(rho2-rho1))*( rho_cut - rho1);
}
}
}
}
if( width_temp > 0)
{ width = width_temp;
if( max_width < width) { max_width = width; max_width_j = j;} }
}
}
else
{
rho1 = max_rho; // save rho1 to use for interpolation of jcut.
imax1 = imax;
j1 = j;
}
}
//for( i=0; i<get_LX( lattice); i++)
//{
// printf("%f ",get_rho(lattice,i,/*j=*/max_width_j,/*subs=*/0));
//}
if(/*verbose*/0)
{
printf("\n");
printf("jbase = %d\n", jbase);
printf("width=%d, height=%d, ", width, height);
printf("width/height=%f, ", (double)width/(double)height);
printf("max_width=%d at j=%d, ", max_width, max_width_j);
theta = theta_of_height_width( jcut-jbase, icut_right-icut_left);
printf("%f = %f^o ", theta, theta*(180./PI));
theta = theta_of_height_width( height-1, width+1);
printf("theta_low = %f = %f^o, ", theta, theta*(180./PI));
theta = theta_of_height_width( height, width);
printf("theta = %f = %f^o, ", theta, theta*(180./PI));
theta = theta_of_height_width( height+1, width-1);
printf("theta_high = %f = %f^o, ", theta, theta*(180./PI));
theta = acos( ( ( psi_v - Gads/G) - ( Gads/G - psi_l) )/(psi_v-psi_l));
printf("theta_predicted_youngs = %f = %f^o ", theta, theta*(180./PI));
//theta = PI*( ( Gads/G - psi_l) / ( psi_v - psi_l));
//printf("theta_predicted_combination = %f = %f^o ", theta, theta*(180./PI));
printf("\n");
printf("rho_cut = %f\n", rho_cut);
printf("(icut_left,icut_right,jcut) = ( %9.6f, %9.6f, %9.6f); "
"(imax1,imax2)=(%d,%d); (icut_left+icut_right)/2 = %9.6f\n",
icut_left, icut_right, jcut, imax1, imax2,(icut_left+icut_right)/2.);
printf("psi(rho_cut) = %f\n", 4.*exp(-200./rho_cut));
printf("psi(rho_v) = %f\n", 4.*exp(-200./85.7042));
printf("psi(rho_l) = %f\n", 4.*exp(-200./524.3905));
printf("psi((rho_l+rho_v)/2.) = %f\n", 4.*exp(-200./((85.7042+524.3905)/2.)));
printf("(psi(rho_v)+psi(rho_l))/2. = %f\n",
(4.*exp(-200./85.7042)+4.*exp(-200./524.3905))/2.);
rho = 212.36; printf("psi(%f) = %f\n", rho, 4.*exp(-200./rho));
}
else
{
if( header)
{
printf("\n");
printf(
" DROP "
" jbase"
" rho_cut"
" width"
" height"
" theta pixelated"
" theta interpolated"
" theta predicted"
"\n");
printf(
" DROP "
" ---------------------"
" ---------------------"
" ---------------------"
" ---------------------"
" ---------------------"
" ---------------------"
" ---------------------"
"\n");
}
printf(" DROP ");
printf(" %21.17f", (double)jbase);
printf(" %21.17f", rho_cut);
printf(" %21.17f", icut_right-icut_left);
printf(" %21.17f", jcut - jbase);
theta = theta_of_height_width( height, width);
printf(" %21.17f", theta*(180/PI));
theta = theta_of_height_width( jcut-jbase, icut_right-icut_left);
printf(" %21.17f", theta*(180/PI));
theta = acos( ( ( psi_v - Gads/G) - ( Gads/G - psi_l) )/(psi_v-psi_l));
printf(" %21.17f", theta*(180/PI));
printf("\n");
}
if( output_to_file)
{
FILE *o;
o = fopen( "compute_drop.dat", "a+");
fprintf( o, "%d ", get_NumFrames( lattice));
fprintf( o, "%d ", get_FrameRate( lattice));
fprintf( o, "%8.4f ", get_G( lattice));
fprintf( o, "%8.4f ", get_Gads( lattice, /*subs*/0));
fprintf( o, "%d ", jbase);
fprintf( o, "%d ", width);
fprintf( o, "%d ", height);
theta = theta_of_height_width( jcut-jbase, icut_right-icut_left);
fprintf( o, "%20.17f ", theta*(180./PI));
theta = theta_of_height_width( height-1, width+1);
fprintf( o, "%20.17f ", theta*(180./PI));
theta = theta_of_height_width( height, width);
fprintf( o, "%20.17f ", theta*(180./PI));
theta = theta_of_height_width( height+1, width-1);
fprintf( o, "%20.17f ", theta*(180./PI));
theta = acos( ( ( psi_v - Gads/G) - ( Gads/G - psi_l) )/(psi_v-psi_l));
//fprintf( o, "acos(%20.17f) = ", ( ( psi_v - Gads/G) - ( Gads/G - psi_l) )/(psi_v-psi_l));
fprintf( o, "%20.17f ", theta*(180./PI));
//theta = PI*( ( Gads/G - psi_l) / ( psi_v - psi_l));
//fprintf( o, "%20.17f ", theta*(180./PI));
fprintf( o, "\n");
fclose(o);
}
//4.*exp(-200/524.3905)
//4.*exp(-200/85.7042)
} /* void compute_drop( lattice_ptr lattice, bool output_to_file) */