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#include <iostream>
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#include <sstream>
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#include <GL/glut.h>
#include <stim/visualization/camera.h>
#include <stim/parser/arguments.h>
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#include <stim/visualization/obj.h>
#include <stim/visualization/gl_spharmonics.h>
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#include <stim/math/constants.h>
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#include <stim/math/random.h>
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#define theta_scale 0.01
#define phi_scale 0.01
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#define zoom_scale 0.1
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//create a global camera that will specify the viewport
stim::camera cam;
int mx, my; //mouse coordinates in the window space
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stim::gl_spharmonics<double> S;
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stim::gl_spharmonics<double> R; //spherical harmonics to render
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float d = 1.5; //initial distance between the camera and the sphere
bool rotate_zoom = true; //sets the current camera mode (rotation = true, zoom = false)
stim::arglist args; //class for processing command line arguments
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bool zaxis = false; //render the z-axis (set via a command line flag)
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/// INTERPOLATION
stim::gl_spharmonics<double> Si;
bool interp = false; //if we are interpolating
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double alpha = 0.0; //alpha value for interpolation
double dalpha = 0.1; //change in alpha value with a key press
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bool init(){
//set the clear color to white
glClearColor(1.0f, 1.0f, 1.0f, 1.0f);
//initialize the camera
cam.setPosition(d, d, d);
cam.LookAt(0, 0, 0, 0, 1, 1);
cam.setFOV(40);
//initialize the texture map stuff
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R.glInit(256);
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return true;
}
//code that is run every time the user changes something
void display(){
//clear the screen
glClear(GL_DEPTH_BUFFER_BIT | GL_COLOR_BUFFER_BIT);
//set the projection matrix
glMatrixMode(GL_PROJECTION); //put the projection matrix on the stack
glLoadIdentity(); //set it to the identity matrix
gluPerspective(cam.getFOV(), 1, 0.001, 1000000); //set up a perspective projection
//set the model view matrix
glMatrixMode(GL_MODELVIEW); //load the model view matrix to the stack
glLoadIdentity(); //set it to the identity matrix
//get the camera parameters
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stim::vec3<float> p = cam.getPosition();
stim::vec3<float> u = cam.getUp();
stim::vec3<float> d = cam.getDirection();
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//specify the camera parameters to OpenGL
gluLookAt(p[0], p[1], p[2], d[0], d[1], d[2], u[0], u[1], u[2]);
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if(interp)
{
R=S*(1.0-alpha)+Si*alpha;
R.glInit();
interp = false;
}
std::cout << "R " << R.str() << std::endl;
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//draw the sphere
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R.glRender();
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//glClear(GL_DEPTH_BUFFER_BIT | GL_COLOR_BUFFER_BIT);
//draw the z-axis if requested
if(zaxis){
glDisable(GL_TEXTURE_2D);
glColor3f(0.0f, 1.0f, 0.0f);
glBegin(GL_LINES);
glVertex3f(0.0, 0.0, 0.0);
glVertex3f(0.0, 0.0, 100.0);
glEnd();
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glColor3f(1.0f, 0.0f, 0.0f);
glBegin(GL_LINES);
glVertex3f(0.0, 0.0, 0.0);
glVertex3f(100.0, 0.0, 0.0);
glEnd();
glColor3f(0.0f, 0.0f, 1.0f);
glBegin(GL_LINES);
glVertex3f(0.0, 0.0, 0.0);
glVertex3f(0.0, 100.0, 0.0);
glEnd();
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}
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//flush commands on the GPU
glutSwapBuffers();
}
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//Process Arrow Key presses.
void
processSpecialKeys(int key, int xx, int yy)
{
switch(key)
{
case GLUT_KEY_UP:
alpha = alpha + dalpha;
break;
case GLUT_KEY_DOWN:
alpha = alpha - dalpha;
break;
}
interp = true;
glutPostRedisplay();
}
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void mouse_press(int button, int state, int x, int y){
//set the camera motion mode based on the mouse button pressed
if(button == GLUT_LEFT_BUTTON)
rotate_zoom = true;
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else if(button == GLUT_RIGHT_BUTTON)
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rotate_zoom = false;
//if the mouse is pressed
if(state == GLUT_DOWN){
//set the current mouse position
mx = x; my = y;
}
}
void mouse_drag(int x, int y){
//if the camera is in rotation mode, rotate
if(rotate_zoom == true){
float theta = theta_scale * (mx - x);
float phi = -phi_scale * (my - y);
//if the mouse is dragged
cam.OrbitFocus(theta, phi);
}
//otherwize zoom
else{
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cam.Push(zoom_scale*(my - y));
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}
//update the mouse position
mx = x; my = y;
glutPostRedisplay();
}
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/*
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float uniformRandom()
{
return ( (float)(rand()))/( (float)(RAND_MAX));
}
std::vector<stim::vec3 <float> >
sample_sphere(int num_samples, float radius = 1.0)
{
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float solidAngle = stim::TAU; ///Solid angle to sample over
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float PHI[2], Z[2], range; ///Range of angles in cylinderical coordinates
PHI[0] = solidAngle/2; ///project the solid angle into spherical coords
PHI[1] = asin(0); ///
Z[0] = cos(PHI[0]); ///project the z into spherical coordinates
Z[1] = cos(PHI[1]); ///
range = Z[0] - Z[1]; ///the range of all possible z values.
float z, theta, phi; /// temporary individual
std::vector<stim::vec3<float> > samples;
//srand(time(NULL)); ///set random seed
srand(100); ///set random seed
for(int i = 0; i < num_samples; i++)
{
z = uniformRandom()*range + Z[1];
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theta = uniformRandom() * stim::TAU;
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phi = acos(z);
stim::vec3<float> sph(1, theta, phi);
stim::vec3<float> cart = sph.sph2cart();
sph[0] *= radius;
samples.push_back(cart);
}
samples.push_back(stim::vec3<float>(0.,0.,1.));
samples.push_back(stim::vec3<float>(0.,1.0,0.));
samples.push_back(stim::vec3<float>(0.,-1.,0.));
std::stringstream name;
for(int i = 0; i < num_samples; i++)
name << samples[i].str() << std::endl;
name << samples[num_samples].str() << std::endl;
name << samples[num_samples+1].str() << std::endl;
name << samples[num_samples+2].str() << std::endl;
std::ofstream outFile;
outFile.open("New_Pos_Vectors.txt");
outFile << name.str().c_str();
return samples;
}
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*/
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void process_arguments(int argc, char* argv[]){
args.add("help", "prints this help");
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args.add("rand", "generates a random set of SH coefficients", "", "[N min max]");
args.add("sparse", "generates a function based on a set of sparse basis functions", "", "[l0 m0 c0 l1 m1 c1 l2 m2 c2 ...]");
args.add("basis", "displays the specified SH basis function", "", "n, or [l m]");
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args.add("obj", "approximates a geometric object given as a Wavefront OBJ file", "", "filename, degree (integer), samples (integer)");
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args.add("out", "filename for outputting spherical harmonics coefficients", "", "filename");
args.add("zaxis", "render the z-axis as a green line");
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args.add("pdf", "outputs the PDF if an OBJ files is given");
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args.add("interp", "interpolates between two specified sets of coefficients", "", "[c0 c1 c2 c3 ...]");
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args.add("center", "the center of the model given with --obj", "", "[x y z]");
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//process the command line arguments
args.parse(argc, argv);
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//set the z-axis flag
if(args["zaxis"].is_set())
zaxis = true;
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//if arguments are specified, push them as coefficients
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if(args.nargs() > 0 && !args["interp"]){
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//push all of the arguments to the spherical harmonics class as coefficients
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for(unsigned int a = 0; a < args.nargs(); a++){
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S.push(atof(args.arg(a).c_str()));
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R = S;
}
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}
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else if(args.nargs() > 0 && args["interp"]){
for(unsigned int a = 0; a < args.nargs(); a++){
S.push(atof(args.arg(a).c_str()));
}
for (unsigned int a = 0; a < args["interp"].nargs(); a++)
Si.push(args["interp"].as_float(a));
R = S+Si*0.0;
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}
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//if the user wants to use a random set of SH coefficients
else if(args["rand"].is_set()){
//return an error if the user specifies both fixed and random coefficients
if(args.nargs() != 0){
std::cout<<"Error: both fixed and random coefficients are specified"<<std::endl;
exit(1);
}
//seed the random number generator
srand(time(NULL));
unsigned int N = args["rand"].as_int(0); //get the number of random coefficients
double Cmin = args["rand"].as_float(1); //get the minimum and maximum coefficient values
double Cmax = args["rand"].as_float(2);
//generate the coefficients
for(unsigned int c = 0; c < N; c++){
double norm = (double) rand() / RAND_MAX; //calculate a random number in the range [0, 1]
double scaled = norm * (Cmax - Cmin) + Cmin; //scale the random number to [Cmin, Cmax]
S.push(scaled); //push the value as a coefficient
}
}
else if(args["sparse"].is_set()){
//calculate the number of sparse coefficients
unsigned int nC = args["sparse"].nargs() / 3;
std::vector<unsigned int> C; //vector of 1D coefficients
unsigned int Cmax = 0; //maximum coefficient provided
std::vector<double> V; //vector of 1D coefficient values
unsigned int c;
int l, m;
double v;
//for each provided coefficient
for(unsigned int i = 0; i < nC; i++){
//load data for a single coefficient from the command line
l = args["sparse"].as_int( i * 3 + 0 );
m = args["sparse"].as_int( i * 3 + 1 );
v = args["sparse"].as_float( i * 3 + 2 );
//calculate the 1D coefficient
c = pow(l + 1, 2) - (l - m) - 1;
//update the maximum coefficient index
if(c > Cmax) Cmax = c;
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//insert the coefficient and value into vectors
C.push_back(c);
V.push_back(v);
}
//set the size of the SH coefficient array
S.resize(Cmax + 1);
//insert each coefficient
for(unsigned int i = 0; i < nC; i++){
S.setc(C[i], V[i]);
}
}
else if(args["obj"].is_set()){
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std::string filename = args["obj"].as_string(0); ///Read Filename
unsigned int l = args["obj"].as_int(1); ///l value
int p = args["obj"].as_int(2); ///number of samples
stim::obj<double> object(filename); ///Open the file
stim::vec3<double> c; ///read the center
if(args["center"].is_set())
stim::vec3<double> c(args["center"].as_float(0), args["center"].as_float(1), args["center"].as_float(2));
else
c = stim::vec3<double>(0,0,0);
unsigned int nV = object.numV();
std::vector< stim::vec3<double> > points; ///redo the points such that they are in a stim::vec3 array, not stim::vec array
// points.resize(nV);
for(int i = 0; i < nV; i++)
{
stim::vec<double> temp = object.getV(i);
points.push_back(stim::vec3<double>(temp[0], temp[1], temp[2]));
}
S.pdf(points, l, l, c, p);
/*
std::vector<stim::vec3<double> > sphere = stim::Random<double>::sample_sphere(p, 1.0, stim::TAU);
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//create an obj object
stim::obj<double> object(filename);
//get the centroid of the object
stim::vec<double> c = object.centroid();
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c[0] = 0; c[1] = 0; c[2] = 0;
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//get the number of vertices in the model
unsigned int nV = object.numV();
//for each vertex in the model, create an MC sample
std::vector< stim::vec<double> > spherical;
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stim::vec<double> sample;
stim::vec<double> centered;
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for(unsigned int i = 0; i < nV; i++){
sample = object.getV(i); //get a vertex in cartesian coordinates
centered = sample - c;
spherical.push_back(centered.cart2sph());
}
//generate the spherical PDF
stim::spharmonics<double> P;
P.pdf(spherical, l, l);
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std::vector<double> weights; ///array of weights
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if(args["pdf"].is_set())
{
// S.pdf(spherical, l, l);
for(int i = 0; i < p; i++) ///for each point on the sphere.
{
float val = 0; ///value starts with 0
for(int j = 0; j < nV; j++) ///for each point on surface
{
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stim::vec3<double> star(object.getV(j)[0] - c[0],
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object.getV(j)[1] - c[1],
object.getV(j)[2] - c[2]); ///center each point on the model
// val += abs(star.dot(sphere[i])); ///sum the dot product of the centered point and the sphere.
if(star.dot(sphere[i]) > 0)
val += pow(star.dot(sphere[i]),8); ///sum the dot product of the centered point and the sphere.
}
weights.push_back(val);
}
S.mcBegin(l,l);
for(int i = 0; i < p; i++)
{
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stim::vec3<double> sph = sphere[i].cart2sph();
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S.mcSample(sph[1], sph[2], weights[i]);
}
S.mcEnd();
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}
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else{
//begin Monte-Carlo sampling, using the model vertices as samples
S.mcBegin(l, l);
double theta, phi, fx, px;
for(unsigned int i = 0; i < nV; i++){
theta = spherical[i][1];
phi = spherical[i][2];
fx = spherical[i][0];
px = P(theta, phi);
S.mcSample(theta, phi, fx / px);
}
S.mcEnd();
}
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*/
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}
//if the user specifies an SH basis function
else if(args["basis"].is_set()){
unsigned int n;
//if the user specifies one index for the basis function
if(args["basis"].nargs() == 1)
n = args["basis"].as_int(0);
else if(args["basis"].nargs() == 2){
int l = args["basis"].as_int(0); //2D indexing (l, m)
int m = args["basis"].as_int(1);
n = pow(l+1, 2) - (l - m) - 1; //calculate the 1D index
}
//add zeros for the first (n-1) coefficients
for(unsigned int c = 0; c < n; c++)
S.push(0);
//add the n'th coefficient
S.push(1);
}
//output the spherical harmonics coefficients if requested
if(args["out"].is_set()){
if(args["out"].nargs() == 0)
std::cout<<S.str()<<std::endl;
else{
//open the output file
std::ofstream outfile;
outfile.open(args["out"].as_string(0).c_str());
outfile<<S.str();
outfile.close();
}
}
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//if the user asks for help, give it and exit
if(args["help"].is_set()){
std::cout<<"usage: shview c0 c1 c2 c3 ... --option [A B C]"<<std::endl;
std::cout<<"examples:"<<std::endl;
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std::cout<<" generate a spherical function with 4 coefficients (l=0 to 2)"<<std::endl;
std::cout<<" shview 1.3 0.2 2.3 1.34"<<std::endl;
std::cout<<" display a spherical function representing the spherical harmonic l = 3, m = -2"<<std::endl;
std::cout<<" shview --basis 3 -2"<<std::endl;
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std::cout<<args.str();
exit(0);
}
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R = S;
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std::cout << "R: " << R.str() << std::endl << std::endl;
std::cout << "S: " << S.str() << std::endl;
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}
int main(int argc, char *argv[]){
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#ifdef _WIN32
args.set_ansi(false);
#endif
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//initialize GLUT
glutInit(&argc, argv);
//process arguments
process_arguments(argc, argv);
//set the size of the GLUT window
glutInitWindowSize(500, 500);
glutInitDisplayMode(GLUT_DEPTH | GLUT_RGBA | GLUT_DOUBLE);
//create the GLUT window (and an OpenGL context)
glutCreateWindow("Spherical Harmonic Viewport");
//set the display function (which will be called repeatedly by glutMainLoop)
glutDisplayFunc(display);
//set the mouse press function (called when a mouse button is pressed)
glutMouseFunc(mouse_press);
//set the mouse motion function (which will be called any time the mouse is dragged)
glutMotionFunc(mouse_drag);
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glutSpecialFunc(processSpecialKeys);
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//run the initialization function
if(!init())
return 1; //return an error if it fails
//enter the main loop
glutMainLoop();
//return 0 if everything is awesome
return 0;
}
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