#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include "glfww.h"
#include <unistd.h>
typedef struct {
  double x;
  double y;
  double z;
} cord;
typedef struct {
  int roll; //x axis
  int pitch; //y axis
  int yaw; //z axis
} rot;
typedef struct {
  float opacity;
} opts;
typedef struct {
  cord loc;
  rot rot;
  int uid;
  int id;
  opts opts;
} point;

double binominal(int n, int k){
  if(n==k)
    return 1.0;
  double v = 1.0; 
  for(int i = 1; i<=k; i++){
    v=v*((float)(n+1-i)/i);
  } 
  return v;
}
int ma = 4;
void mul_matr(double a[][ma],double b[][ma], double res[][ma]){
  for(int i = 0; i<ma; i++){
    for(int j = 0; j<ma;j++){
      res[i][j] = 0;
      for(int k = 0; k<ma;k++){
        res[i][j]+=a[i][k]*b[k][j];
        
      }
    }
  }
}
void perspective_proj(GLFWwindow* b,cord* c, int len,double ctx,double cty,double ctz,double cx, double cy, double cz){
  //double cx = -100;
  //double cy = 0;
  //double cz = 0;
  //double ctx = 0;
  //double cty = 0;
  //double ctz = 0;
  //cz=100-cz;
  double coy = cos(cty);
  double siz = sin(ctz);
  double coz = cos(ctz);
  double six = sin(ctx);
  double siy = sin(cty);
  double cox = cos(ctx);
  double fov = .1;
  double ex = cx;
  double ey = cy;
  //glfwGetFramebufferSize(b,&w,&h);
  refresh_size(b);
  glColor3f(1.0f,0.0f,0.0f);
  double ez = 1/tan(fov/2);
  glBegin(GL_POINTS);
  for(int i = 0; i!=len; i++){
    double ax = c[i].x;
    double ay = c[i].y;
    double az = c[i].z;
    
    double eyz = (coz*(ay-cy)-siz*ax-cx);
    double yzm = (coy*(az-cz) + siy*(siz*(ay-cy) + coz*(ax-cx)));
    double dx = coy * (siz*(ay-cy) + coz*(ax-cx)) - (siy*(az-cz));
    double dy = six * yzm + cox*eyz;
    double dz = cox * yzm - six*eyz; 
    
    //printf("%f %f %f, %f %f\n",dx,dy,ez,ez/dz*dx+dx,dy*ez);
    double bx = ez/dz*dx+dx;
    double by = ez/dz*dy+dy;
    //printf("%f %f | %f %f %f\n",bx,by,ctx,cty,ctz);
    //int aaa = round((150-dz)/2);
    if(dz>=0)
    glfw_circle_partial(b,nearbyint(bx),nearbyint(by),/*(0>=aaa?1:*/1/*)*/); 
    //glfw_pixel_partial(b,round(bx),round(by)); 
  }
  glEnd();
}
cord* basier3d(double*xx,double*yy,double*zz,int n){
  cord* pa = malloc(sizeof(*pa)*(3000));
  //double xx[5] = {5.0,5.0,50.0,5.0,5.0};
  //double yy[5] = {5.0,5.0,5.0,5.0,10.0};
  //double zz[5] = {10.0,5.0,5.0,5.0,5.0};
  //int n = 5-1;
  n-=1;
  for(int iy = 0; iy<=100;iy+=1){
    double t = 0.01*iy;
    double bcx = 0;
    double bcy = 0;
    double bcz = 0;
    for(int i = 0; i <=n;i++){
      double pp = binominal(n,i) * pow((1 - t),(n - i)) * pow(t,i);
      bcx +=  pp * xx[i];
      bcy +=  pp * yy[i];
      bcz +=  pp * zz[i];
      //if(ii==3){
      //  printf("pp: %f bi : %f p1 : %f p2 : %f| %f, %f, %f\n",pp,binominal(n,i),bcx,bcy,bcz,pow((1-t),(n-i)),pow(t,i));
      //}
    }
    //int ii = floor(100*(double)(t/1.0));
    //printf("%i\n",iy);
    pa[iy].x = bcx;
    pa[iy].y = bcy;
    pa[iy].z = bcz;
    //printf("(%f,%f,%f)\n",bcx,bcy,bcz);
  }
  //bw b = sdl_init();
  /*for(int i = 0; i!=100; i ++){
    SDL_SetRenderDrawColor(b.r,0,255-255*(pa[i].z/100),0,255);
    SDL_RenderDrawPoint(b.r,pa[i].x,pa[i].y);
    sdl_circle(b,round(pa[i].x),round(pa[i].y),round(100-pa[i].z));
    //printf("%i : (%f,%f,%f)\n",i,pa[i].x,pa[i].y,(100-pa[i].z));
  }*/
  //perspective_proj(b,pa,100);
  //sdl_loop(b);
  return pa;
}
void join_cords(cord* a, cord* b, int a_len, int b_len){
  a = realloc(a,sizeof(*a)*(a_len+b_len+2));
  for(int i = 0; i<=a_len+b_len; i++){
    a[a_len+i] = b[i]; 
  }
}
int main(){
  double xx[5] = {5.0,5.0,5.0};
  double yy[5] = {5.0,100.0,200.0};
  double zz[5] = {95.0,95.0,95.0};
  cord* a = basier3d(xx,yy,zz,3);
 
  double xx2[5] = {200.0,200.0,200.0};
  double yy2[5] = {5.0,100.0,200.0};
  double zz2[5] = {95.0,95.0,95.0};
  cord* b = basier3d(xx2,yy2,zz2,3);
  
  double xx3[5] = {5.0,100.0,200.0};
  double yy3[5] = {5.0,5.0,5.0};
  double zz3[5] = {95.0,95.0,95.0};
  cord* c = basier3d(xx3,yy3,zz3,3);
  
  double xx4[5] = {5.0,100.0,200.0};
  double yy4[5] = {200.0,200.0,200.0};
  double zz4[5] = {95.0,95.0,95.0};
  cord* d = basier3d(xx4,yy4,zz4,3); 
  
  double xx5[5] = {5.0,100.0,200.0};
  double yy5[5] = {200.0,200.0,200.0};
  double zz5[5] = {150.0,150.0,150.0};
  cord* e = basier3d(xx5,yy5,zz5,3); 
  
  double xx6[5] = {5.0,100.0,200.0};
  double yy6[5] = {5.0,5.0,5.0};
  double zz6[5] = {150.0,150.0,150.0};
  cord* f = basier3d(xx6,yy6,zz6,3);
 
  double xx7[5] = {200.0,200.0,200.0};
  double yy7[5] = {5.0,100.0,200.0};
  double zz7[5] = {150.0,150.0,150.0};
  cord* g = basier3d(xx7,yy7,zz7,3);
  
  double xx8[5] = {5.0,5.0,5.0};
  double yy8[5] = {5.0,100.0,200.0};
  double zz8[5] = {150.0,150.0,150.0};
  cord* h = basier3d(xx8,yy8,zz8,3);
  join_cords(a,b,100,100);
  join_cords(a,c,200,100);
  join_cords(a,d,300,100);
  join_cords(a,e,400,100);
  join_cords(a,f,500,100);
  join_cords(a,g,600,100);
  join_cords(a,h,700,100);
  GLFWwindow* w = glfw_init();
  for(double rr = 0.01;rr<=20;rr+=0.01){
    double p1 = 0; 
    double p2 = rr;
    double p3 = 0;
    double p4 = -100;
    double p5 = 0;
    double p6 = rr*100*0;
    perspective_proj(w,a,800,p1,p2,p3,p4,p5,p6);
    //perspective_proj(w,b,100,p1,p2,p3,p4,p5,p6);
    //perspective_proj(w,c,100,p1,p2,p3,p4,p5,p6);
    //perspective_proj(w,d,100,p1,p2,p3,p4,p5,p6);
    //perspective_proj(w,e,100,p1,p2,p3,p4,p5,p6);
    //perspective_proj(w,f,100,p1,p2,p3,p4,p5,p6);
    //perspective_proj(w,g,100,p1,p2,p3,p4,p5,p6);
    //perspective_proj(w,h,100,p1,p2,p3,p4,p5,p6);
    glfw_load(w);
    usleep(500);
    glfw_clear(w);
    if(glfwWindowShouldClose(w))break;
  }
  free(a);
  free(b);
  free(c);
  free(d);
  glfwDestroyWindow(w);
  win_clean();
  return 0;
}