// MC937 - Interpolação Linear
// Nome: Michell Henrique Lucino RA: 242056
//

// Cores e Texturas //
background{ color rgb < 1.0, 1.0, 1.0 > }

#declare tx_plastico = 
    texture{
        pigment{ color rgb < 1.00, 0.00, 0.25 > }
        finish{ diffuse 0.8 ambient 0.1 specular 0.5 roughness 0.005 }
    }

#declare tx_metal = 
  texture{
        pigment{ color rgb < 0.90, 0.90, 0.90 > }
        finish{ diffuse 0.8 ambient 0.1 specular 0.5 roughness 0.005 }
    }


// Peças //
#declare peao =
    union{
        sphere {
            <0, 0, 0>, 0.400
            texture{ tx_metal }
        }
        cylinder{
            < 0.00, 0.00, 0.00 >,
            < 0.00, 0.00, -1.00 >,
            0.25
            texture{ tx_metal }
        }
        cylinder{
            < 0.00, 0.00, -1.00 >,
            < 0.00, 0.00, -1.25 >,
            0.6
            texture{ tx_metal }
        }
    }

#declare peao_2 =
    union{
        sphere {
            <5, 5, 10>, 0.400
            texture{ tx_metal }
        }
        cylinder{
            < 5.00, 5.00, 10.00 >,
            < 5.00, 5.00, 9.00 >,
            0.25
            texture{ tx_metal }
        }
        cylinder{
            < 5.00, 5.00, 9.00 >,
            < 5.00, 5.00, 8.75 >,
            0.6
            texture{ tx_metal }
        }
    }

#macro interpola_1(w, w0, v0, w1, v1)
    #local ss = (w - w0) / (w1 - w0);
    #local vv = (1 - ss) * v0 + ss * v1;
    vv
#end

#macro interpola_3(w, w0, w1, v0, v1, v2, v3)
    #local v01 = interpola_1(w, w0, v0, w1, v1);
    #local v12 = interpola_1(w, w0, v1, w1, v2);
    #local v23 = interpola_1(w, w0, v2, w1, v3);

    #local v012 = interpola_1(w, w0, v01, w1, v12);
    #local v123 = interpola_1(w, w0, v12, w1, v23);

    #local v0123 = interpola_1(w, w0, v012, w1, v123);

    v0123
#end

#macro teste_interpola_1(p0, p1, n, raio)
    union {
        #local k = n;

        #while (k != 0)
            #local centro = interpola_1(k, 0, p0, n, p1);

            sphere {
                centro, raio
                texture { tx_plastico }
            }

            #local k = k - 1;
        #end
    }
#end

#macro teste_interpola_3(p0, p1, p2, p3, n, raio)
    union {
        #local k = n;

        #while (k != 0)
            #local centro = interpola_3(k, 0, n, p0, p1, p2, p3);

            sphere {
                centro, raio
                texture { tx_plastico }
            }

            #local k = k - 1;
        #end
    }
#end


#include "eixos.inc"

union {
    //object{ teste_interpola_1(< 0.00, 0.00, 0.00 >, < -2.00, 0.00, 4.00 >, 10, 0.5) }
    object { teste_interpola_3(< 0.00, 0.00, 0.00 >, < -2.00, 3.00, 4.00 >, < -10.00, 8.00, -6.00 >, < 5.00, 5.00, 10.00 >, 500, 0.10) }

    object { peao }
    object { peao_2 }

}

//object{ eixos(10) }
#declare cmin = < -6,-1,-02 >;
#declare cmax = < +7,+9,+11 >;

box{ cmin-<2,2,0> <cmax.x,cmax.y,cmin.z>+<2,2,0.01>  texture{ pigment{ color rgb 0.9*<1,1,1> } finish {diffuse 0.7 ambient 0.3 } } }

#include "camlight.inc"
#declare centro_cena = (cmin + cmax)/2;
#declare raio_cena = 0.30*vlength(cmin - cmax);
#declare dir_camera = < 40,20,30 >;
#declare dist_camera = 5*raio_cena;
#declare intens_luz = 1.20;
camlight(centro_cena, raio_cena, dir_camera, dist_camera , z, intens_luz)