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%version 14 May 2004
% allégée de 3D.pro
/tx@mapII3DDict 100 dict def
tx@mapII3DDict begin
%
/CalculsPoints{%
/region exch def
newpath
/nbr region length def % nombre de régions
nbr 2 sub -2 2 {
/Counter exch def
region Counter get
/Y exch def
region Counter 1 add get
/X exch def
/Xpoint { Y cos X cos mul Rsphere mul } def
/Ypoint { Y cos X sin mul Rsphere mul } def
/Zpoint { Y sin Rsphere mul } def
CalculsPointsAfterTransformations
CalcCoordinates
Test
PS 0 lt {% marque le point
moveto
exit % termine
} {pop pop} ifelse
} for
/ncount 0 def % hv 2004-05-04
/stepPoint step def
Counter step div 2 lt { stepPoint 1 def } if % hv 2004-05-04
Counter 2 sub -2 2 {
/Counter exch def
/ncount ncount 1 add def % hv 2004-05-04
ncount stepPoint ge Counter 2 le or { % hv 2004-05-04
region Counter get
/Y exch def
region Counter 1 add get
/X exch def
/Xpoint { Y cos X cos mul Rsphere mul } def
/Ypoint { Y cos X sin mul Rsphere mul } def
/Zpoint { Y sin Rsphere mul } def
CalculsPointsAfterTransformations
CalcCoordinates
Test
PS 0 lt { lineto }{ pop pop } ifelse
/ncount 0 def % hv 2004-05-04
}{ /ncount ncount 1 add def } ifelse % hv 2004-05-04
} for
} def
%
/MatriceTransformation{%
/Sin1 THETA sin def
/Sin2 PHI sin def
/Cos1 THETA cos def
/Cos2 PHI cos def
/Cos1Sin2 Cos1 Sin2 mul def
/Sin1Sin2 Sin1 Sin2 mul def
/Cos1Cos2 Cos1 Cos2 mul def
/Sin1Cos2 Sin1 Cos2 mul def
/XpointVue Dobs Cos1Cos2 mul def
/YpointVue Dobs Sin1Cos2 mul def
/ZpointVue Dobs Sin2 mul def
/M11 RotZ cos RotY cos mul def
/M12 RotZ cos RotY sin mul RotX sin mul
RotZ sin RotX cos mul sub def
/M13 RotZ cos RotY sin mul RotX cos mul
RotZ sin RotX sin mul add def
/M21 RotZ sin RotY cos mul def
/M22 RotZ sin RotY sin RotX sin mul mul
RotZ cos RotX cos mul add def
/M23 RotZ sin RotY sin mul RotX cos mul
RotZ cos RotX sin mul sub def
/M31 RotY sin neg def
/M32 RotX sin RotY cos mul def
/M33 RotX cos RotY cos mul def
} def
/CalcCoordinates{%
formulesTroisD
Xi xunit Yi yunit
} def
% pour la 3D conventionnelle
/formulesTroisD{%
/xObservateur Xabscisse Sin1 mul neg Yordonnee Cos1 mul add def
/yObservateur Xabscisse Cos1Sin2 mul neg Yordonnee Sin1Sin2 mul sub Zcote Cos2 mul add def
/zObservateur Xabscisse neg Cos1Cos2 mul Yordonnee Sin1Cos2 mul sub Zcote Sin2 mul sub Dobs add def
/Xi DScreen xObservateur mul zObservateur div def
/Yi DScreen yObservateur mul zObservateur div def
}
def
%
/CalculsPointsAfterTransformations{%
/Xabscisse M11 Xpoint mul M12 Ypoint mul add M13 Zpoint mul add def
/Yordonnee M21 Xpoint mul M22 Ypoint mul add M23 Zpoint mul add def
/Zcote M31 Xpoint mul M32 Ypoint mul add M33 Zpoint mul add def
}
def
%
/Test { % test de visibilité d'un point
% rayon vers point de vue
/RXvue Xabscisse XpointVue sub def
/RYvue Yordonnee YpointVue sub def
/RZvue Zcote ZpointVue sub def
% test de visibilité
/PS RXvue Xabscisse mul % produit scalaire
RYvue Yordonnee mul add
RZvue Zcote mul add
def
} def
%
/MaillageSphere {
0 increment 360 increment sub {%
/theta exch def
departPhi increment 90 increment sub {%
/phi exch def
% newpath
/Xpoint Rsphere theta cos mul phi cos mul def
/Ypoint Rsphere theta sin mul phi cos mul def
/Zpoint Rsphere phi sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
% Centre de la facette
/Xpoint Rsphere theta increment 2 div add cos mul phi increment 2 div add cos mul def
/Ypoint Rsphere theta increment 2 div add sin mul phi increment 2 div add cos mul def
/Zpoint Rsphere phi increment 2 div add sin mul def
CalculsPointsAfterTransformations
/xCentreFacette Xabscisse def
/yCentreFacette Yordonnee def
/zCentreFacette Zcote def
% normale à la facette
/nXfacette xCentreFacette def
/nYfacette yCentreFacette def
/nZfacette zCentreFacette def
% rayon vers point de vue
/RXvue xCentreFacette XpointVue sub def
/RYvue yCentreFacette YpointVue sub def
/RZvue zCentreFacette ZpointVue sub def
% test de visibilité
/PSfacette RXvue nXfacette mul
RYvue nYfacette mul add
RZvue nZfacette mul add
def
condition {
theta 1 theta increment add {%
/theta1 exch def
/Xpoint Rsphere theta1 cos mul phi cos mul def
/Ypoint Rsphere theta1 sin mul phi cos mul def
/Zpoint Rsphere phi sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
phi 1 phi increment add {
/phi1 exch def
/Xpoint Rsphere theta increment add cos mul phi1 cos mul def
/Ypoint Rsphere theta increment add sin mul phi1 cos mul def
/Zpoint Rsphere phi1 sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
theta increment add -1 theta {%
/theta1 exch def
/Xpoint Rsphere theta1 cos mul phi increment add cos mul def
/Ypoint Rsphere theta1 sin mul phi increment add cos mul def
/Zpoint Rsphere phi increment add sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
phi increment add -1 phi {
/phi1 exch def
/Xpoint Rsphere theta cos mul phi1 cos mul def
/Ypoint Rsphere theta sin mul phi1 cos mul def
/Zpoint Rsphere phi1 sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
} if
} for
} for
gsave
0 setgray
stroke
grestore
} def
%
/DrawCitys {
/CITY exch def
/Rayon exch def
/nbr CITY length def % nombre de villes
0 1 nbr 1 sub {
/compteur exch def
CITY compteur get aload pop
/X exch def /Y exch def
/Xpoint { Y cos X cos mul Rsphere mul } def
/Ypoint { Y cos X sin mul Rsphere mul } def
/Zpoint { Y sin Rsphere mul } def
CalculsPointsAfterTransformations
CalcCoordinates
Test
PS 0 lt %
{ 1 0 0 setrgbcolor newpath Rayon 0 360 arc closepath fill }{ pop pop } ifelse
} for
} def
end
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