// Daniel Camillo Collier Farias RA:059878

// PARAMETROS DE ANIMACAO


#macro interpola(t0,v0,t1,v1,tt)
  #local ss = (tt-t0)/(t1-t0);
  #local rr = 1-ss;
  (rr*v0 + ss*v1)	
#end

#macro interpola4(t0,v0,v1,v2,v3,t3,tt)
  #local v01 = interpola(t0,v0,t3,v1,tt);
  #local v12 = interpola(t0,v1,t3,v2,tt);
  #local v23 = interpola(t0,v2,t3,v3,tt);
  #local v012 = interpola(t0,v01,t3,v12,tt);
  #local v123 = interpola(t0,v12,t3,v23,tt);
  interpola(t0,v012,t3,v123,tt);
#end

#macro grafico(x0, y0, y1, y2, y3, x3, N)
  union {
  #local i = 1;
  #local xx = x0;
  #while(i<=N)
    #local xx = xx + ((x3-x0)/N);
    #local yy = interpola4(x0, y0, y1, y2, y3, x3, xx);
    object{ sphere { <0,xx,yy>, 0.05} }
    #local i = i+1;
  #end
  }
#end

// ======================================================================
// CORES E TEXTURAS

background{ color rgb < 0.75, 0.80, 0.85 > }

#declare tx_plastico = 
  texture{
    pigment{ color rgb < 0.10, 0.80, 1.00 > }
    finish{ diffuse 0.8 ambient 0.1 specular 0.5 roughness 0.005 }
  }

#declare tx_fosca = 
  texture{
    pigment{ color rgb < 1.00, 0.80, 0.10 > }
    finish{ diffuse 0.9 ambient 0.1 }
  }

#declare tx_espelho = 
  texture{
    pigment{ color rgb < 1.00, 0.85, 0.30 > }
    finish{ diffuse 0.2 reflection 0.7*< 1.00, 0.85, 0.30 > ambient 0.1 }
  }

#declare tx_vidro = 
  texture{
    pigment{ color rgb < 0.85, 0.95, 1.00 > filter 0.70 }
    finish{ diffuse 0.03 reflection 0.25 ambient 0.02 specular 0.25 roughness 0.005 }
  }


#declare tx_xadrez =
  texture{
    pigment{ checker color rgb < 0.10, 0.32, 0.60 >, color rgb < 1.00, 0.97, 0.90 > }
    finish{ diffuse 0.9 ambient 0.1 }
    scale 2.0
  }

// ======================================================================
// DESCRIÇÃO DA CENA 

// Partes da cena:
 
  
#declare chao = 
  box{ <-20,-20,-1>, <+20,+20,0> }

#include "eixos.inc"

// Aqui está a cena, finalmente:

#macro curva()
  grafico(0,2,4,-4,4,5,200)
  grafico(5,4,12,0,1,10,200)
  grafico(10,1,2,3,0,15,100)
  grafico(15,0,-3,0,15,20,500)
#end

union {
  curva()
  object { eixos(20.00) 
  texture{ tx_plastico }
  }
}


#include "camlight.inc"
#declare centro_cena = < 0.00, 15, 10 >;
#declare raio_cena = 20.0;
#declare dir_camera = < 1, 0, 0>;
#declare dist_camera = 16.0;
#declare intens_luz = 1.00;
camlight(centro_cena, raio_cena, dir_camera, dist_camera , z, intens_luz)