// Bernardo do Amaral Teodosio - 167494 - MC937 A
// LAB 05

// ======================================================================
// 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_fosca_2 = 
  texture{
    pigment{ color rgb < 0.40, 0.40, 0.40 > }
    finish{ diffuse 0.9 ambient 0.1 }
  }

#declare tx_fosca_3 = 
  texture{
    pigment{ color rgb < 1.00, 1.00, 0.00 > }
    finish{ diffuse 0.9 ambient 0.1 }
  }

#declare tx_fosca_black = 
  texture{
    pigment{ color rgb < 0.20, 0.20, 0.20 > }
    finish{ diffuse 0.9 ambient 0.1 }
  }

#declare tx_coke = 
  texture{
    pigment{ color rgb < 1, 0, 0 > }
    finish{ diffuse 0.2 reflection 0.7*< 1.00, 0.85, 0.30 > ambient 0.1 }
  }

#declare tx_coke_2 = 
  texture{
    pigment{ color rgb < 0.9, 0.00, 0.00 > }
    finish{ diffuse 0.8 ambient 0.1 specular 0.5 roughness 0.005 }
  }

#declare tx_fosca_4 = 
  texture{
    pigment{ color rgb < 0.5, 0.9, 0.5 > }
    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
  }

#declare tx_xadrez_2 =
  texture{
    pigment{ checker color rgb < 0.00, 0.02, 0.00 >, color rgb < 1.00, 0.97, 0.90 > }
    finish{ diffuse 0.9 ambient 0.1 }
    scale 1
  }

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

// Partes da cena:

#include "eixos.inc"

// Lab 5


// CRIA O CIRCULO USANDO O COUNT DE QUANTAS ESFERAS QUER
#macro createCircle(sphereRadius, sphereCount)
  union {
    #for(i, -pi, pi, 2*pi/sphereCount)
      sphere { <0, cos(i), sin(i)>, sphereRadius texture{ tx_coke_2 }}
    #end
  }
#end

#macro createCurve(sphereRadius)
  #declare cursor = sphere{ < 0.00, 0.00, 0.00 >, sphereRadius texture{ tx_coke_2 } }

  union {
    #for(i, 0, 1, 0.001)
      #declare MULTIPLIER = 10;
      #declare value = i*MULTIPLIER;


      // part 1 (see notebook for parts)
      #if (i >= 0 & i < 1/8)
        #declare tt0 = 0/8;
        #declare tt1 = 1/8;
        #declare vv0 = 0;
        #declare vv1 = 1;
        #declare targetValue = vv0 + ((i - tt0)/(tt1 -  tt0)) * (vv1 - vv0);

        object { cursor translate <0, 0, targetValue> }
      #end

      #if (i >= 1/8 & i < 2/8)
        #declare tt0 = 1/8;
        #declare tt1 = 2/8;
        #declare vv0 = pi/2;
        #declare vv1 = pi;
        #declare alphaAngle = vv0 + ((i - tt0)/(tt1 -  tt0)) * (vv1 - vv0);

        object { cursor translate <0, 1 + cos(alphaAngle), 1 + sin(alphaAngle)>}
      #end

      #if (i >= 2/8 & i < 3/8)
        #declare tt0 = 2/8;
        #declare tt1 = 3/8;
        #declare vv0 = 1;
        #declare vv1 = 2;
        #declare targetValue = vv0 + ((i - tt0)/(tt1 -  tt0)) * (vv1 - vv0);

        object { cursor translate <0, targetValue, 2> }
      #end

      #if (i >= 3/8 & i < 4/8)
        #declare tt0 = 3/8;
        #declare tt1 = 4/8;
        #declare vv0 = 3*pi/2;
        #declare vv1 = 5*pi/2;
        #declare alphaAngle = vv0 + ((i - tt0)/(tt1 -  tt0)) * (vv1 - vv0);

        object { cursor translate <0, 2 + cos(alphaAngle), 3 + sin(alphaAngle)>}
      #end

      #if (i >= 4/8 & i < 5/8)
        #declare tt0 = 4/8;
        #declare tt1 = 5/8;
        #declare vv0 = 3;
        #declare vv1 = 0;
        #declare targetValue = vv0 + ((i - tt0)/(tt1 -  tt0)) * (vv1 - vv0);

        object { cursor translate <0, targetValue - 1, 4> }
      #end

      #if (i >= 5/8 & i < 6/8)
        #declare tt0 = 5/8;
        #declare tt1 = 6/8;
        #declare vv0 = pi/2;
        #declare vv1 = pi;
        #declare alphaAngle = vv0 + ((i - tt0)/(tt1 -  tt0)) * (vv1 - vv0);

        object { cursor translate <0, 0 + cos(alphaAngle) - 1, 3 + sin(alphaAngle)>}
      #end

      #if (i >= 6/8 & i < 7/8)
        #declare tt0 = 6/8;
        #declare tt1 = 7/8;
        #declare vv0 = 3;
        #declare vv1 = 0;
        #declare targetValue = vv0 + ((i - tt0)/(tt1 -  tt0)) * (vv1 - vv0);

        object { cursor translate <0, 0 - 2, targetValue> }
      #end

      #if (i >= 7/8 & i < 8/8)
        #declare tt0 = 7/8;
        #declare tt1 = 8/8;
        #declare vv0 = pi;
        #declare vv1 = 2*pi;
        #declare alphaAngle = vv0 + ((i - tt0)/(tt1 -  tt0)) * (vv1 - vv0);

        object { cursor translate <0, 0 + cos(alphaAngle) - 1, sin(alphaAngle)>}
      #end
    #end
  }
#end


#macro interpolNumber(t0, v0, t1, v1, tt)
  #local r = (tt - t0) / (t1 - t0);
  #local s = 1 - r;
  #local vv = s * v0 + r * v1;
  vv
#end

// returns a point
#macro interpol(t0, v0, t1, v1, tt)
  #local r = (tt - t0) / (t1 - t0);
  #local s = 1 - r;
  #local vv = s * v0 + r * v1;
  #local returnX = s * v0.x + r * v1.x;
  #local returnY = s * v0.y + r * v1.y;
  #local returnZ = s * v0.z + r * v1.z;

  <returnX, returnY, returnZ>
#end

#macro createSquare(sphereRadius)
  #local cursor = sphere{ < 0.00, 0.00, 0.00 >, sphereRadius texture{ tx_coke_2 } }
  union {
    #for(i, 0, 1, 0.001)
      #declare multiplier = 5;
      #declare value = i*multiplier;

      #if (i >= 0 & i < 1/4)
        #declare t0 = 0/4;
        #declare t1 = 1/4;
        #declare v0 = <0, 0, 0>;
        #declare v1 = <0, 0, 1>;

        // object { cursor translate <0, 0, interpolNumber(t0, v0, t1, v1, i)> }
        object { cursor translate interpol(t0, v0, t1, v1, i) }
      #end

      #if (i >= 1/4 & i < 2/4)
        #declare t0 = 1/4;
        #declare t1 = 2/4;
        #declare v0 = <0, 0, 1>;
        #declare v1 = <0, 1, 1>;
        
        object { cursor translate interpol(t0, v0, t1, v1, i) }
      #end
      
      #if (i >= 2/4 & i < 3/4)
        #declare t0 = 2/4;
        #declare t1 = 3/4;
        #declare v0 = <0, 1, 1>;
        #declare v1 = <0, 1, 0>;
        
        object { cursor translate interpol(t0, v0, t1, v1, i) }
      #end

      #if (i >= 3/4 & i < 4/4)
        #declare t0 = 3/4;
        #declare t1 = 4/4;
        #declare v0 = <0, 1, 0>;
        #declare v1 = <0, 0, 0>;
        
        object { cursor translate interpol(t0, v0, t1, v1, i) }
      #end
    #end
  }
#end 

#macro bezierArc(t0, t1, A, B, C, D, tt)
  #local AB = interpol(t0, A, t1, B, tt);
  #local BC = interpol(t0, B, t1, C, tt);
  #local CD = interpol(t0, C, t1, D, tt);

  #local ABC = interpol(t0, AB, t1, BC, tt);
  #local BCD = interpol(t0, BC, t1, CD, tt);

  #local ABCD = interpol(t0, ABC, t1, BCD, tt);

  ABCD
#end

#macro createStrangeFigure(sphereRadius)
  #local cursor = sphere{ < 0.00, 0.00, 0.00 >, sphereRadius texture{ tx_coke_2 } }
  union {
    #for(i, 0, 1, 0.01)
      #local A = <0, 0, 0>;
      #local B = <0, 1, 2>;
      #local C = <0, 2, -2>;
      #local D = <0, 3, 1>;


      object { cursor translate bezierArc(0, 1, A, B, C, D, i) }
    #end
  }
#end 


#macro createStrangeSquare(sphereRadius)
  #local cursor = sphere{ < 0.00, 0.00, 0.00 >, sphereRadius texture{ tx_coke_2 } }
  union {
    #for(i, 0, 1, 0.001)
      #if (i >= 0 & i < 1/4)
        #local t0 = 0/4;
        #local t1 = 1/4;

        #local A = <0, 0, 0>;
        #local B = <0, -2, 0.75>;
        #local C = <0, 2, 1.5>;
        #local D = <0, 0, 2>;

        object { cursor translate bezierArc(t0, t1, A, B, C, D, i) }
      #end

      #if (i >= 1/4 & i < 2/4)
        #declare t0 = 1/4;
        #declare t1 = 2/4;

        #local A = <0, 0, 2>;
        #local B = <0, 0.5, 4>;
        #local C = <0, 1.25, 0>;
        #local D = <0, 2, 2>;

        object { cursor translate bezierArc(t0, t1, A, B, C, D, i) }
      #end
      
      #if (i >= 2/4 & i < 3/4)
        #local t0 = 2/4;
        #local t1 = 3/4;

        #local A = <0, 2, 2>;
        #local B = <0, 3, 1>;
        #local C = <0, 1, 0.5>;
        #local D = <0, 2, 0>;

        object { cursor translate bezierArc(t0, t1, A, B, C, D, i) }
      #end

      #if (i >= 3/4 & i < 4/4)
        #declare t0 = 3/4;
        #declare t1 = 4/4;
        #declare v0 = <0, 2, 0>;
        #declare v1 = <0, 0, 0>;
        
        object { cursor translate interpol(t0, v0, t1, v1, i) }
      #end
    #end
  }
#end 


#macro createSmoothStrangeSquare(sphereRadius)
  #local cursor = sphere{ < 0.00, 0.00, 0.00 >, sphereRadius texture{ tx_coke_2 } }
  union {
    #for(i, 0, 1, 0.001)
      #if (i >= 0 & i < 1/4)
        #local t0 = 0/4;
        #local t1 = 1/4;

        #declare PDA = <0, 0, 0>;
        #declare VDA = <0, -2, 0.75>;

        #declare PAB = <0, 0, 2>;
        #declare VAB = <0, 2, 1.5>;

        #local A1 = PDA;
        #local A4 = PAB;

        #local A2 = A1 + VDA;
        #local A3 = A4 - VAB;

        object { cursor translate bezierArc(t0, t1, A1, A2, A3, A4, i) }
      #end

      #if (i >= 1/4 & i < 2/4)
        #declare t0 = 1/4;
        #declare t1 = 2/4;

        #local PDA = <0, 0, 0>;
        #declare VDA = <0, -2, 0.75>;

        #local PAB = <0, 0, 2>;
        #declare VAB = <0, 2, 1.5>;

        #local A1 = PEA;
        #local A4 = <0, 0, 2>;

        #local A2 = A1  + VDA;
        #local A3 = A4 - VAB;

        #declare PBC = <0, 2, 2>;
        #declare VBC = <0, 3, 1>;

        #local B1 = PAB;
        #local B4 = PBC;
        #local B2 = B1 + VAB;
        #local B3 = B4 - VBC;

        object { cursor translate bezierArc(t0, t1, B1, B2, B3, B4, i) }
      #end
      
      #if (i >= 2/4 & i < 3/4)
        #local t0 = 2/4;
        #local t1 = 3/4;

        #local A = <0, 2, 2>;
        #local B = <0, 3, 1>;
        #local C = <0, 1, 0.5>;
        #local D = <0, 2, 0>;

        object { cursor translate bezierArc(t0, t1, A, B, C, D, i) }
      #end

      #if (i >= 3/4 & i < 4/4)
        #declare t0 = 3/4;
        #declare t1 = 4/4;
        #declare v0 = <0, 2, 0>;
        #declare v1 = <0, 0, 0>;
        
        object { cursor translate interpol(t0, v0, t1, v1, i) }
      #end
    #end
  }
#end 


union {
  // object{ eixos(3.00) }
  // object { createCircle(0.1, 200) }
  // object { createSquare(0.1) }
  // object { createStrangeFigure(0.1) }
  object { createStrangeSquare(0.1) }
  // object { createCurve(0.1) }
}
#include "camlight.inc"
#declare centro_cena = < 0.00, 0.00, 1.00 >;
#declare raio_cena = 6.0;
#declare dir_camera = < 14.00, 7.00, 4.00 >;
#declare dist_camera = 5*raio_cena;
#declare intens_luz = 1.20;
camlight(centro_cena, raio_cena, dir_camera, dist_camera , z, intens_luz)