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program Project1;
{$FRAME_WIDTH 1000}
{$FRAME_HEIGHT 600}
{$FRAME_RATE 25}
{$BACKGROUND $FFFFFF}
uses
Flash8;
Type
TMatrice = class
procedure Produitmatriciel;
procedure Translate(tx, ty, tz: number);
procedure RotateX(ax: number);
procedure RotateY(ay: number);
procedure RotateZ(az: number);
Constructor Create;
end;
TPoint3D = class
x,y,z:number;
Function Transform2d(P:TPoint3D):Point;
procedure Transform;
Constructor Create(xv,yv,zv:number);
end;
TFace=class(Movieclip)
zorder:integer;
size:number;
p: array[1..5] of TPoint3D;
procedure build(Rx,Ry:number);
procedure Tracer(penw:integer;ColorFill:integer);
constructor Create (parent:Movieclip;Depth,asize:integer);
procedure position;
end;
TCube=class(Movieclip)
Face:array[1..5] of TFace;
procedure Reset;
constructor Create(parent:Movieclip;Depth:integer);
procedure onEnterFrame;override;
end;
const carre:array[1..5,1..3]of double=((-100,-100,0),(100,-100,0),(100,100,0),(-100,100,0),(0,0,0));
pi=3.141592654;
var matrice:TMatrice;
Values,Mi,V,id: array[0..3,0..3] of number;
Constructor TPoint3D.Create(xv,yv,zv:number);
begin
x:=xv;
y:=yv;
z:=zv;
end;
procedure TPoint3D.Transform;
var x1,y1,z1:number;
begin
x1 := x * Values[0,0] + y * Values[0,1] +z * Values[ 0,2] + Values[0,3];
y1 := x * Values[1,0] + y * Values[1,1] +z * Values[ 1,2] + Values[1,3];
z1 := x * Values[2,0] + y * Values[2,1] +z * Values[2,2] + Values[2,3];
x:=x1;
y:=y1;
z:=z1;
end;
Function TPoint3D.Transform2d(P:TPoint3D):Point;
begin
result:=Point.Create(128 * P.x / (128 + P.z / 4),128 * P.y / (128 + P.z / 4));
end;
Constructor TMatrice.Create;
var i,j: Integer;
begin
id[0, 0] := 1; id[1, 0] := 0; id[2, 0] := 0; id[3, 0] := 0; //matrice identité
id[0, 1] := 0; id[1, 1] := 1; id[2, 1] := 0; id[3, 1] := 0;
id[0, 2] := 0; id[1, 2] := 0; id[2, 2] := 1; id[3, 2] := 0;
id[0, 3] := 0; id[1, 3] := 0; id[2, 3] := 0; id[3, 3] := 1;
for i := 0 to 3 do //initialisation des matrices à identité
for j:=0 to 3 do
begin
Values[i,j] :=id[i,j];
Mi[i,j]:=id[i,j];
end;
end;
Procedure TMatrice.Produitmatriciel;
var
i,j,k: Integer;
p:number;
begin
for i:=0 to 3 do
for j := 0 to 3 do
begin
p := 0;
for k := 0 to 3 do p := p + Mi[i, k] * values[k, j];
V[i,j] := p;
end;
for i := 0 to 3 do
for j := 0 to 3 do
Values[i,j] := V[i,j];
end;
procedure TMatrice.Translate(tx, ty, tz: number);
begin
Mi[0, 0] := 1; Mi[1, 0] := 0; Mi[2, 0] := 0; Mi[3, 0] := 0;
Mi[0, 1] := 0; Mi[1, 1] := 1; Mi[2, 1] := 0; Mi[3, 1] := 0;
Mi[0, 2] := 0; Mi[1, 2] := 0; Mi[2, 2] := 1; Mi[3, 2] := 0;
Mi[0, 3] := tx; Mi[1, 3] := ty; Mi[2, 3] := tz; Mi[3, 3] := 1;
Produitmatriciel;
//réinitialisation de Mi à matrice identité
Mi[0, 3] := 0;
Mi[1, 3] := 0;
Mi[2, 3] := 0;
end;
Procedure TMatrice.RotateX(ax: number);
var cax,sax:number;
begin
if ax<>0 then
begin
cax:=cos(ax);
sax:=sin(ax);
Mi[0, 0] := 1; Mi[1, 0] := 0; Mi[2, 0] := 0; Mi[3, 0] := 0;
Mi[0, 1] := 0; Mi[1, 1] := cax; Mi[2, 1] := -sax; Mi[3, 1] := 0;
Mi[0, 2] := 0; Mi[1, 2] := sax; Mi[2, 2] := cax; Mi[3, 2] := 0;
Mi[0, 3] := 0; Mi[1, 3] := 0; Mi[2, 3] := 0; Mi[3, 3] := 1;
Produitmatriciel;
//réinitialisation de Mi à matrice identité
Mi[1, 1] := 1;
Mi[1, 2] := 0;
Mi[2, 1] := 0;
Mi[2, 2] := 1;
end;
end;
Procedure TMatrice.RotateY(ay: number);
var cay,say:number;
begin
if ay<>0 then
begin
cay:=cos(ay);
say:=sin(ay);
Mi[0, 0] := cay; Mi[1, 0] := 0; Mi[2, 0] := -say; Mi[3, 0] := 0;
Mi[0, 1] := 0; Mi[1, 1] := 1; Mi[2, 1] := 0; Mi[3, 1] := 0;
Mi[0, 2] := say; Mi[1, 2] := 0; Mi[2, 2] := cay; Mi[3, 2] := 0;
Mi[0, 3] := 0; Mi[1, 3] := 0; Mi[2, 3] := 0; Mi[3, 3] := 1;
Produitmatriciel;
//réinitialisation de Mi à matrice identité
Mi[0, 0] := 1;
Mi[0, 2] := 0;
Mi[2, 0] := 0;
Mi[2, 2] := 1;
end;
end;
Procedure TMatrice.RotateZ(az: number);
var caz,saz:number;
begin
if az<> 0 then
begin
caz:=cos(az);
saz:=sin(az);
Mi[0, 0] := caz; Mi[1, 0] := -saz; Mi[2, 0] := 0; Mi[3, 0] := 0;
Mi[0, 1] := saz; Mi[1, 1] := caz; Mi[2, 1] := 0; Mi[3, 1] := 0;
Mi[0, 2] := 0; Mi[1, 2] := 0; Mi[2, 2] := 1; Mi[3, 2] := 0;
Mi[0, 3] := 0; Mi[1, 3] := 0; Mi[2, 3] := 0; Mi[3, 3] := 1;
Produitmatriciel;
//réinitialisation de Mi à matrice identité
Mi[0, 0] := 1;
Mi[0, 1] := 0;
Mi[1, 0] := 0;
Mi[1, 1] := 1;
end;
end;
constructor TFace.Create (parent:Movieclip;Depth,asize:integer);
begin
inherited Create(Parent, 'face' + IntToStr(Depth),Depth);
Matrice:=TMatrice.Create;
size:=asize;
zorder:=Depth;
end;
procedure TFace.build(Rx,Ry:number);
var i:integer;
begin
Matrice.Translate(0, 0,-size/2);
Matrice.RotateX(Rx);
Matrice.RotateY(Ry);
for i:=1 to 4 do
begin
P[i]:=TPoint3D.Create(carre[i,1],carre[i,2],carre[i,3]);
P[i].transform;
end;
P[5]:=TPoint3D.Create(0,0,-size/2);
end;
procedure TFace.Tracer(penw:integer;ColorFill:integer);
var i:integer;
begin
clear;
Linestyle(penw,clBlack);
BeginFill(colorFill);
moveto(P[1].Transform2D(P[1]).x,P[1].Transform2D(P[1]).y);
for i:=2 to 4 do lineto(P[i].Transform2D(P[i]).x,P[i].Transform2D(P[i]).y);
Lineto(P[1].Transform2D(P[1]).x,P[1].Transform2D(P[1]).y);
p[5].Transform;
//swapDepths(Zorder-Trunc(P[5].z)*6);
swapDepths(-P[5].z);
end;
procedure TFace.position;
var i:integer;
begin
for i:=1 to 4 do P[i].Transform;
end;
constructor TCube.Create(parent:Movieclip;Depth:integer);
var i,j:integer;
begin
inherited Create(Parent, 'cube' + IntToStr(Depth),Depth);
Face[1]:=TFace.Create(self,1,200);
with Face[1] do
begin
build(0,0);
Tracer(3,clred);
end;
Face[2]:=TFace.Create(self,2,200);
with Face[2] do
begin
build(0,pi/2);
Tracer(3,clblue);
end;
Face[3]:=TFace.Create(self,3,200);
with Face[3] do
begin
build(0,pi);
Tracer(3,clgreen);
end;
Face[4]:=TFace.Create(self,4,200);
with Face[4] do
begin
build(0,3*pi/2);
Tracer(3,claqua);
end;
Face[5]:=TFace.Create(self,5,200);
with Face[5] do
begin
build(pi/2,0);
Tracer(3,clyellow);
end;
Face[6]:=TFace.Create(self,6,200);
with Face[6] do
begin
build(-pi/2,0);
Tracer(3,$ff00ff);
end;
//_x:=stage.width/2;
_y:=stage.height/2;
Reset;
end;
procedure TCube.Reset;
var
i,j: Integer;
begin
for i := 0 to 3 do
for j:=0 to 3 do
Values[i,j] := id[i,j];
end;
procedure TCube.onEnterFrame;
begin
//Matrice.rotatex(pi/180);
//Matrice.rotateY(pi/180);
//Matrice.rotateZ(pi/180);
//Matrice.translate(0,0,5);
//Matrice.translate(0,5,0); //en y, l'axe est vertical vers le bas (normal, si z est rentrant (ijk) trièdre direct et y vers le bas).
Matrice.translate(5,0,0);
Face[1].position;
Face[1].tracer(3,clred);
Face[2].position;
Face[2].tracer(3,clblue);
Face[3].position;
Face[3].tracer(3,clgreen);
Face[4].position;
Face[4].tracer(3,claqua);
Face[5].position;
Face[5].tracer(3,clyellow);
Face[6].position;
Face[6].tracer(3,$ff00ff);
Reset;
end;
begin
TCube.Create(_Root,0);
end. |
Priorité des faces et 3D2D
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