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| FUNCTION SommAxBy(Ka, Kb, Wx, Wy: Reel): Reel;
VAR p, q: Reel;
BEGIN
p:= Ka * Wx; q:= Kb * Wy; Result:= p + q
END;
FUNCTION F_Couleur_Ic2(u, v: Reel; P00, P10, P01, P11: Pixel): Pixel;
VAR k:Byte; s: Reel; Wx0, Wx1: Ve3R; Px: Pixel;
BEGIN
FOR k:= 1 TO 3 DO // Calcul moyenne quadratique
BEGiN
Wx0[k]:= SommAxBy(1 - u, u, Sqr(P00[k]), Sqr(P10[k]));
Wx1[k]:= SommAxBy(1 - u, u, Sqr(P01[k]), Sqr(P11[k]));
s:= SommAxBy(1 - v, v, Wx0[k], Wx1[k]);
Px[k]:= Round(Sqrt(s))
END;
Result:= Px
END;
FUNCTION F_Couleur(u, v: Reel; P00, P10, P01, P11: Pixel): Pixel;
VAR k:Byte; Wx0, Wx1: Ve3R; Px: Pixel;
BEGIN
FOR k:= 1 TO 3 DO
BEGiN
Wx0[k]:= SommAxBy(1 - u, u, P00[k], P10[k]);
Wx1[k]:= SommAxBy(1 - u, u, P01[k], P11[k]);
Px[k]:= Round(SommAxBy(1 - v, v, Wx0[k], Wx1[k]))
END;
Result:= Px
END;
FUNCTION C(r: Reel): Reel; // C = 3r^2 - 2r^3 = r^2(3 - 2r)
VAR R2, s: Reel;
BEGIN
R2:= Sqr(r); s:= 3 - (2 * r); Result:= R2 * s
END;
(*HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
Calcul de la seconde matrice
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH*)
PROCEDURE ZeroM(VAR Ma: Tab_Pix);
CONST Pzero: Pixel = (0, 0, 255);
VAR i, j: Z_32;
BEGIN
FOR i:= 0 TO Dim_Max DO
FOR j:= 0 TO Dim_Max DO Ma[i, j]:= Pzero
END;
PROCEDURE Calc_Mat_Im2_Ic2Dz3(La, Ha: Z_32; VAR Ma2: Tab_Pix);
CONST P000: Pixel = (0, 0, 0);
DegRad = Pi / 180; Alpha = 120;
VAR Ex, Ey, Xm, Xm1, Ym, Ym1: Z_32;
CosA, Dx, Dy, Ray, Ray2, s, SinA, U1, U2, V1, V2, Xcen, Ycen: Reel;
Px: Pixel;
BEGIN
SinCos(Alpha * DegRad, SinA, CosA);
Xcen:= (La - 1) / 2; Ycen:= (Ha - 1) / 2;
IF (Xcen<Ycen) THEN Ray:= Xcen ELSE Ray:= Ycen;
Ray2:= Sqr(Ray); ZeroM(Matrice_2);
FOR Xm:= 0 TO (La - 1) DO
FOR Ym:= 0 TO (Ha - 1) DO
BEGIN
U2:= Sqr(Xm - Xcen); V2:= Sqr(Ym - Ycen); s:= U2 + V2;
IF (s>=Ray2)
THEN Px:= P000
ELSE
BEGIN
U1:= SommAxBy( CosA, SinA, Xm - Xcen, Ym - Ycen);
V1:= SommAxBy(-SinA, CosA, Xm - Xcen, Ym - Ycen);
s:= U1 + Xcen; Ex:= Trunc(s); Dx:= Frac(s);
s:= V1 + Ycen; Ey:= Trunc(s); Dy:= Frac(s);
IF ((Ex>La - 1) OR (Ey>Ha - 1)) THEN
BEGIN
E(0012); Wt(10, 30, 'Ex, Ey =');
E(0011); Write(Ex:10, Ey: 10); A_
END;
Px:= F_Couleur_Ic2(C(Dx), C(Dy), Matrice_1[Ex, Ey],
Matrice_1[Ex + 1, Ey], Matrice_1[Ex, Ey + 1],
Matrice_1[Ex + 1, Ey + 1])
END;
Ma2[Xm, Ym]:= Px // C(Dz): polynme de degr 3
END
END;
PROCEDURE Calc_Mat_Im2_Ic2Dz1(La, Ha: Z_32; VAR Ma2: Tab_Pix);
CONST P000: Pixel = (0, 0, 0);
DegRad = Pi / 180; Alpha = 120;
VAR Ex, Ey, Xm, Xm1, Ym, Ym1: Z_32;
CosA, Dx, Dy, Ray, Ray2, s, SinA, U1, U2, V1, V2, Xcen, Ycen: Reel;
Px: Pixel;
BEGIN
SinCos(Alpha * DegRad, SinA, CosA);
Xcen:= (La - 1) / 2; Ycen:= (Ha - 1) / 2;
IF (Xcen<Ycen) THEN Ray:= Xcen ELSE Ray:= Ycen;
Ray2:= Sqr(Ray); ZeroM(Matrice_2);
FOR Xm:= 0 TO (La - 1) DO
FOR Ym:= 0 TO (Ha - 1) DO
BEGIN
U2:= Sqr(Xm - Xcen); V2:= Sqr(Ym - Ycen); s:= U2 + V2;
IF (s>=Ray2)
THEN Px:= P000
ELSE
BEGIN
U1:= SommAxBy( CosA, SinA, Xm - Xcen, Ym - Ycen);
V1:= SommAxBy(-SinA, CosA, Xm - Xcen, Ym - Ycen);
s:= U1 + Xcen; Ex:= Trunc(s); Dx:= Frac(s);
s:= V1 + Ycen; Ey:= Trunc(s); Dy:= Frac(s);
IF ((Ex>La - 1) OR (Ey>Ha - 1)) THEN
BEGIN
E(0012); Wt(10, 30, 'Ex, Ey =');
E(0011); Write(Ex:10, Ey: 10); A_
END;
Px:= F_Couleur_Ic2(Dx, Dy, Matrice_1[Ex, Ey],
Matrice_1[Ex + 1, Ey], Matrice_1[Ex, Ey + 1],
Matrice_1[Ex + 1, Ey + 1])
END;
Ma2[Xm, Ym]:= Px // P00, P10, P01, P11
END
END;
PROCEDURE Calc_Mat_Im2_Ic1Dz3(La, Ha: Z_32; VAR Ma2: Tab_Pix);
CONST P000: Pixel = (0, 0, 0);
DegRad = Pi / 180; Alpha = 120;
VAR Ex, Ey, Xm, Xm1, Ym, Ym1: Z_32;
CosA, Dx, Dy, Ray, Ray2, s, SinA, U1, U2, V1, V2, Xcen, Ycen: Reel;
Px: Pixel;
BEGIN
SinCos(Alpha * DegRad, SinA, CosA);
Xcen:= (La - 1) / 2; Ycen:= (Ha - 1) / 2;
IF (Xcen<Ycen) THEN Ray:= Xcen ELSE Ray:= Ycen;
Ray2:= Sqr(Ray); ZeroM(Matrice_2);
FOR Xm:= 0 TO (La - 1) DO
FOR Ym:= 0 TO (Ha - 1) DO
BEGIN
U2:= Sqr(Xm - Xcen); V2:= Sqr(Ym - Ycen); s:= U2 + V2;
IF (s>=Ray2)
THEN Px:= P000
ELSE
BEGIN
U1:= SommAxBy( CosA, SinA, Xm - Xcen, Ym - Ycen);
V1:= SommAxBy(-SinA, CosA, Xm - Xcen, Ym - Ycen);
s:= U1 + Xcen; Ex:= Trunc(s); Dx:= Frac(s);
s:= V1 + Ycen; Ey:= Trunc(s); Dy:= Frac(s);
IF ((Ex>La - 1) OR (Ey>Ha - 1)) THEN
BEGIN
E(0012); Wt(10, 30, 'Ex, Ey =');
E(0011); Write(Ex:10, Ey: 10); A_
END;
Px:= F_Couleur(C(Dx), C(Dy), Matrice_1[Ex, Ey],
Matrice_1[Ex + 1, Ey], Matrice_1[Ex, Ey + 1],
Matrice_1[Ex + 1, Ey + 1])
END;
Ma2[Xm, Ym]:= Px // C(Dz): polynme de degr 3
END
END;
PROCEDURE Calc_Mat_Im2_Ic1Dz1(La, Ha: Z_32; VAR Ma2: Tab_Pix);
CONST P000: Pixel = (0, 0, 0);
DegRad = Pi / 180; Alpha = 120;
VAR Ex, Ey, Xm, Xm1, Ym, Ym1: Z_32;
CosA, Dx, Dy, Ray, Ray2, s, SinA, U1, U2, V1, V2, Xcen, Ycen: Reel;
Px: Pixel;
BEGIN
SinCos(Alpha * DegRad, SinA, CosA);
Xcen:= (La - 1) / 2; Ycen:= (Ha - 1) / 2;
IF (Xcen<Ycen) THEN Ray:= Xcen ELSE Ray:= Ycen;
Ray2:= Sqr(Ray); ZeroM(Matrice_2);
FOR Xm:= 0 TO (La - 1) DO
FOR Ym:= 0 TO (Ha - 1) DO
BEGIN
U2:= Sqr(Xm - Xcen); V2:= Sqr(Ym - Ycen); s:= U2 + V2;
IF (s>=Ray2)
THEN Px:= P000
ELSE
BEGIN
U1:= SommAxBy( CosA, SinA, Xm - Xcen, Ym - Ycen);
V1:= SommAxBy(-SinA, CosA, Xm - Xcen, Ym - Ycen);
s:= U1 + Xcen; Ex:= Trunc(s); Dx:= Frac(s);
s:= V1 + Ycen; Ey:= Trunc(s); Dy:= Frac(s);
IF ((Ex>La - 1) OR (Ey>Ha - 1)) THEN
BEGIN
E(0012); Wt(10, 30, 'Ex, Ey =');
E(0011); Write(Ex:10, Ey: 10); A_
END;
Px:= F_Couleur(Dx, Dy, Matrice_1[Ex, Ey],
Matrice_1[Ex + 1, Ey], Matrice_1[Ex, Ey + 1],
Matrice_1[Ex + 1, Ey + 1])
END;
Ma2[Xm, Ym]:= Px // P00, P10, P01, P11
END
END; |
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