/usr/share/texmf-texlive/dvips/pst-vue3d/pst-vue3d.pro is in texlive-pstricks 2009-10ubuntu1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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2022 2023 2024 2025 2026 2027 2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041 2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055 2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069 2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083 2084 2085 2086 2087 2088 2089 2090 2091 2092 | %version 33 march 2007
%
/tx@3DDict 100 dict def
tx@3DDict begin
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/XB M11 A mul neg M12 B mul add M13 C mul add CX add def
/YB M21 A mul neg M22 B mul add M23 C mul add CY add def
/ZB M31 A mul neg M32 B mul add M33 C mul add CZ add def
/XC M11 A mul neg M12 B mul neg add M13 C mul add CX add def
/YC M21 A mul neg M22 B mul neg add M23 C mul add CY add def
/ZC M31 A mul neg M32 B mul neg add M33 C mul add CZ add def
/XD M11 A mul M12 B mul neg add M13 C mul add CX add def
/YD M21 A mul M22 B mul neg add M23 C mul add CY add def
/ZD M31 A mul M32 B mul neg add M33 C mul add CZ add def
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/YE M21 A mul M22 B mul add M23 C mul sub CY add def
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/XF M11 A mul neg M12 B mul add M13 C mul sub CX add def
/YF M21 A mul neg M22 B mul add M23 C mul sub CY add def
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/XH M11 A mul M12 B mul sub M13 C mul sub CX add def
/YH M21 A mul M22 B mul sub M23 C mul sub CY add def
/ZH M31 A mul M32 B mul sub M33 C mul sub CZ add def
% Centres des faces : condition de visibilité
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% OC1
/XC1 M13 C mul CX add def
/YC1 M23 C mul CY add def
/ZC1 M33 C mul CZ add def
% Normale à la face 1
/NX1 M13 C mul def
/NY1 M23 C mul def
/NZ1 M33 C mul def
% rayon vers point de vue
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/RYvue1 YC1 YpointVue sub def
/RZvue1 ZC1 ZpointVue sub def
% produit scalaire
/PS1 RXvue1 NX1 mul RYvue1 NY1 mul add RZvue1 NZ1 mul add def
% FACE 2
% OC2
/XC2 M11 A mul CX add def
/YC2 M21 A mul CY add def
/ZC2 M31 A mul CZ add def
% normale à la face 2
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/NY2 M21 A mul def
/NZ2 M31 A mul def
% rayon vers point de vue
/RXvue2 XC2 XpointVue sub def
/RYvue2 YC2 YpointVue sub def
/RZvue2 ZC2 ZpointVue sub def
% produit scalaire
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% FACE 3
% OC3
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/YC3 M23 C neg mul CY add def
/ZC3 M33 C neg mul CZ add def
% normale à la face 3
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/NY3 M23 C neg mul def
/NZ3 M33 C neg mul def
% rayon vers point de vue
/RXvue3 XC3 XpointVue sub def
/RYvue3 YC3 YpointVue sub def
/RZvue3 ZC3 ZpointVue sub def
% produit scalaire
/PS3 RXvue3 NX3 mul RYvue3 NY3 mul add RZvue3 NZ3 mul add def
% FACE 4
% OC4
/XC4 M11 A neg mul CX add def
/YC4 M21 A neg mul CY add def
/ZC4 M31 A neg mul CZ add def
% normale à la face 4
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/NY4 M21 A neg mul def
/NZ4 M31 A neg mul def
% rayon vers point de vue
/RXvue4 XC4 XpointVue sub def
/RYvue4 YC4 YpointVue sub def
/RZvue4 ZC4 ZpointVue sub def
% produit scalaire
/PS4 RXvue4 NX4 mul RYvue4 NY4 mul add RZvue4 NZ4 mul add def
% FACE 5
% OC5
/XC5 M12 B neg mul CX add def
/YC5 M22 B neg mul CY add def
/ZC5 M32 B neg mul CZ add def
% normale à la face 5
/NX5 M12 B neg mul def
/NY5 M22 B neg mul def
/NZ5 M32 B neg mul def
% rayon vers point de vue
/RXvue5 XC5 XpointVue sub def
/RYvue5 YC5 YpointVue sub def
/RZvue5 ZC5 ZpointVue sub def
% produit scalaire
/PS5 RXvue5 NX5 mul RYvue5 NY5 mul add RZvue5 NZ5 mul add def
% FACE 6
% OC6
/XC6 M12 B mul CX add def
/YC6 M22 B mul CY add def
/ZC6 M32 B mul CZ add def
% normale à la face 6
/NX6 M12 B mul def
/NY6 M22 B mul def
/NZ6 M32 B mul def
% rayon vers point de vue
/RXvue6 XC6 XpointVue sub def
/RYvue6 YC6 YpointVue sub def
/RZvue6 ZC6 ZpointVue sub def
% produit scalaire
/PS6 RXvue6 NX6 mul RYvue6 NY6 mul add RZvue6 NZ6 mul add def
% faceOne
PS1 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YA def
/Zcote ZA def
/Xabscisse XA def
CalcCoordinates
moveto
/Zcote ZB def
/Xabscisse XB def
/Yordonnee YB def
CalcCoordinates
lineto
/Zcote ZC def
/Xabscisse XC def
/Yordonnee YC def
CalcCoordinates
lineto
/Zcote ZD def
/Xabscisse XD def
/Yordonnee YD def
CalcCoordinates
lineto
/Zcote ZA def
/Xabscisse XA def
/Yordonnee YA def
CalcCoordinates
lineto
closepath
gsave
CubeColorFaceOne setrgbcolor
fill
grestore
stroke
} if
% faceTwo
PS2 0 Condition{ %
reduction reduction scale
1 setlinejoin
newpath
/Xabscisse XA def
/Yordonnee YA def
/Zcote ZA def
CalcCoordinates
moveto
/Zcote ZD def
/Xabscisse XD def
/Yordonnee YD def
CalcCoordinates
lineto
/Zcote ZH def
/Xabscisse XH def
/Yordonnee YH def
CalcCoordinates
lineto
/Zcote ZE def
/Xabscisse XE def
/Yordonnee YE def
CalcCoordinates
lineto
/Zcote ZA def
/Xabscisse XA def
/Yordonnee YA def
CalcCoordinates
lineto
closepath
gsave
CubeColorFaceTwo setrgbcolor
fill
grestore
stroke
} if
% face three
PS3 0 Condition{ %
reduction reduction scale
1 setlinejoin
newpath
/Xabscisse XE def
/Yordonnee YE def
/Zcote ZE def
CalcCoordinates
moveto
/Zcote ZF def
/Xabscisse XF def
/Yordonnee YF def
CalcCoordinates
lineto
/Zcote ZG def
/Xabscisse XG def
/Yordonnee YG def
CalcCoordinates
lineto
/Zcote ZH def
/Xabscisse XH def
/Yordonnee YH def
CalcCoordinates
lineto
/Zcote ZE def
/Xabscisse XE def
/Yordonnee YE def
CalcCoordinates
lineto
closepath
gsave
CubeColorFaceThree setrgbcolor
fill
grestore
stroke
} if
% face four
PS4 0 Condition{ %
reduction reduction scale
1 setlinejoin
newpath
/Xabscisse XB def
/Yordonnee YB def
/Zcote ZB def
CalcCoordinates
moveto
/Zcote ZF def
/Xabscisse XF def
/Yordonnee YF def
CalcCoordinates
lineto
/Zcote ZG def
/Xabscisse XG def
/Yordonnee YG def
CalcCoordinates
lineto
/Zcote ZC def
/Xabscisse XC def
/Yordonnee YC def
CalcCoordinates
lineto
/Zcote ZB def
/Xabscisse XB def
/Yordonnee YB def
CalcCoordinates
lineto
closepath
gsave
CubeColorFaceFour setrgbcolor
fill
grestore
stroke
} if
% face five
PS5 0 Condition{ %
reduction reduction scale
1 setlinejoin
newpath
/Xabscisse XC def
/Yordonnee YC def
/Zcote ZC def
CalcCoordinates
moveto
/Zcote ZD def
/Xabscisse XD def
/Yordonnee YD def
CalcCoordinates
lineto
/Zcote ZH def
/Xabscisse XH def
/Yordonnee YH def
CalcCoordinates
lineto
/Zcote ZG def
/Xabscisse XG def
/Yordonnee YG def
CalcCoordinates
lineto
/Zcote ZC def
/Xabscisse XC def
/Yordonnee YC def
CalcCoordinates
lineto
closepath
gsave
CubeColorFaceFive setrgbcolor
fill
grestore
stroke
} if
% face six
PS6 0 Condition{ %
reduction reduction scale
1 setlinejoin
newpath
/Xabscisse XB def
/Yordonnee YB def
/Zcote ZB def
CalcCoordinates
moveto
/Zcote ZA def
/Xabscisse XA def
/Yordonnee YA def
CalcCoordinates
lineto
/Zcote ZE def
/Xabscisse XE def
/Yordonnee YE def
CalcCoordinates
lineto
/Zcote ZF def
/Xabscisse XF def
/Yordonnee YF def
CalcCoordinates
lineto
/Zcote ZB def
/Xabscisse XB def
/Yordonnee YB def
CalcCoordinates
lineto
closepath
gsave
CubeColorFaceSix setrgbcolor
fill
grestore
stroke
} if
}
def
%
/PointsDie{%
PS6 0 Condition{ %
reduction reduction scale
A 2 div neg A A 2 div {
/XCpoint exch def
C 2 div neg C C 2 div {
/ZCpoint exch def
newpath
/Zpoint Rpoint ZCpoint add def
/Xpoint XCpoint def
/Ypoint B def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Zpoint Rpoint Angle cos mul ZCpoint add def
/Xpoint Rpoint Angle sin mul XCpoint add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} for
} for
} if
PS5 0 Condition{ %
reduction reduction scale
newpath
/Ypoint B neg def
/XCpoint A 2 div neg def
/ZCpoint C 2 div def
/Xpoint Rpoint XCpoint add def
/Zpoint ZCpoint def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Xpoint Rpoint Angle cos mul XCpoint add def
/Zpoint Rpoint Angle sin mul ZCpoint add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
%
newpath
/XCpoint A 2 div def
/ZCpoint C 2 div neg def
/Xpoint Rpoint XCpoint add def
/Zpoint ZCpoint def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Xpoint Rpoint Angle cos mul XCpoint add def
/Zpoint Rpoint Angle sin mul ZCpoint add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
%
newpath
/XCpoint 0 def
/ZCpoint 0 def
/Xpoint Rpoint XCpoint add def
/Zpoint ZCpoint def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Xpoint Rpoint Angle cos mul XCpoint add def
/Zpoint Rpoint Angle sin mul ZCpoint add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} if
PS4 0 Condition{ %
reduction reduction scale
C 2 div neg C C 2 div {
/ZCpoint exch def
B 2 div neg B B 2 div {
/YCpoint exch def
newpath
/Zpoint Rpoint ZCpoint add def
/Ypoint YCpoint def
/Xpoint A neg def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Zpoint Rpoint Angle cos mul ZCpoint add def
/Ypoint Rpoint Angle sin mul YCpoint add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} for
} for
% le point du milieu
newpath
/Zpoint Rpoint def
/Ypoint 0 def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Zpoint Rpoint Angle cos mul def
/Ypoint Rpoint Angle sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} if
PS3 0 Condition{ %
reduction reduction scale
A 2 div neg A A 2 div {
/XCpoint exch def
B 2 div neg B 2 div B 2 div {
/YCpoint exch def
newpath
/Xpoint Rpoint XCpoint add def
/Ypoint YCpoint def
/Zpoint C neg def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Xpoint Rpoint Angle cos mul XCpoint add def
/Ypoint Rpoint Angle sin mul YCpoint add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} for
} for
} if
PS2 0 Condition{ %
reduction reduction scale
newpath
/Xpoint A def
/Ypoint Rpoint B 2 div add def
/Zpoint C 2 div neg def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Ypoint Rpoint Angle cos mul B 2 div add def
/Zpoint Rpoint Angle sin mul C 2 div sub def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
newpath
/Xpoint A def
/Ypoint Rpoint B 2 div sub def
/Zpoint C 2 div def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Xpoint A def
/Ypoint Rpoint Angle cos mul B 2 div sub def
/Zpoint Rpoint Angle sin mul A 2 div add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} if
PS1 0 Condition{ %
reduction reduction scale
newpath
/Xpoint Rpoint def
/Ypoint 0 def
/Zpoint C def
CalculsPointsAfterTransformations
CalcCoordinates
moveto
0 1 359 {%
/Angle exch def
/Xpoint Rpoint Angle cos mul def
/Ypoint Rpoint Angle sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
0 setgray
fill
} if
} def
%
/CalcCoordinates{%
formulesTroisD
% hv 2005-04-30 --->beg
% Xi 28.45 mul Yi 28.45 mul
Xi xUnit mul Yi yUnit mul
% hv 2005-04-30 <---beg
}
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 CX add def
/Yordonnee M21 Xpoint mul M22 Ypoint mul add M23 Zpoint mul add CY add def
/Zcote M31 Xpoint mul M32 Ypoint mul add M33 Zpoint mul add CZ add def
}
def
%
/SommetsTetraedre{%
/xA RayonBaseTetraedre neg def
/yA 0 def
/zA 0 def
/xB 0.5 RayonBaseTetraedre mul def
/yB RayonBaseTetraedre 0.866 mul neg def
/zB 0 def
/xC xB def
/yC yB neg def
/zC 0 def
/xD 0 def
/yD 0 def
/zD RayonBaseTetraedre 1.414 mul def
% coordonnées centre des faces
/xFaceA xA xB xC add add 3 div def
/yFaceA yA yB yC add add 3 div def
/zFaceA zA zB zC add add 3 div def
/xFaceB xD xA xB add add 3 div def
/yFaceB yD yA yB add add 3 div def
/zFaceB zD zA zB add add 3 div def
/xFaceC xA xD xC add add 3 div def
/yFaceC yA yD yC add add 3 div def
/zFaceC zA zD zC add add 3 div def
/xFaceD xD xB xC add add 3 div def
/yFaceD yD yB yC add add 3 div def
/zFaceD zD zB zC add add 3 div def
% sommets après rotation et translation
/XA M11 xA mul M12 yA mul add M13 zA mul add CX add def
/YA M21 xA mul M22 yA mul add M23 zA mul add CY add def
/ZA M31 xA mul M32 yA mul add M33 zA mul add CZ add def
/XB M11 xB mul M12 yB mul add M13 zB mul add CX add def
/YB M21 xB mul M22 yB mul add M23 zB mul add CY add def
/ZB M31 xB mul M32 yB mul add M33 zB mul add CZ add def
/XC M11 xC mul M12 yC mul add M13 zC mul add CX add def
/YC M21 xC mul M22 yC mul add M23 zC mul add CY add def
/ZC M31 xC mul M32 yC mul add M33 zC mul add CZ add def
/XD M11 xD mul M12 yD mul add M13 zD mul add CX add def
/YD M21 xD mul M22 yD mul add M23 zD mul add CY add def
/ZD M31 xD mul M32 yD mul add M33 zD mul add CZ add def
% centres de faces après transformations
/XFaceA M11 xFaceA mul M12 yFaceA mul add M13 zFaceA mul add CX add def
/YFaceA M21 xFaceA mul M22 yFaceA mul add M23 zFaceA mul add CY add def
/ZFaceA M31 xFaceA mul M32 yFaceA mul add M33 zFaceA mul add CZ add def
/XFaceB M11 xFaceB mul M12 yFaceB mul add M13 zFaceB mul add CX add def
/YFaceB M21 xFaceB mul M22 yFaceB mul add M23 zFaceB mul add CY add def
/ZFaceB M31 xFaceB mul M32 yFaceB mul add M33 zFaceB mul add CZ add def
/XFaceC M11 xFaceC mul M12 yFaceC mul add M13 zFaceC mul add CX add def
/YFaceC M21 xFaceC mul M22 yFaceC mul add M23 zFaceC mul add CY add def
/ZFaceC M31 xFaceC mul M32 yFaceC mul add M33 zFaceC mul add CZ add def
/XFaceD M11 xFaceD mul M12 yFaceD mul add M13 zFaceD mul add CX add def
/YFaceD M21 xFaceD mul M22 yFaceD mul add M23 zFaceD mul add CY add def
/ZFaceD M31 xFaceD mul M32 yFaceD mul add M33 zFaceD mul add CZ add def
% Normales aux faces
/NxA XFaceA XD sub def
/NyA YFaceA YD sub def
/NzA ZFaceA ZD sub def
/NxB XFaceB XC sub def
/NyB YFaceB YC sub def
/NzB ZFaceB ZC sub def
/NxC XFaceC XB sub def
/NyC YFaceC YB sub def
/NzC ZFaceC ZB sub def
/NxD XFaceD XA sub def
/NyD YFaceD YA sub def
/NzD ZFaceD ZA sub def
% Conditions de visibilité
% rayon vers point de vue
/RXvueA XFaceA XpointVue sub def
/RYvueA YFaceA YpointVue sub def
/RZvueA ZFaceA ZpointVue sub def
/RXvueB XFaceB XpointVue sub def
/RYvueB YFaceB YpointVue sub def
/RZvueB ZFaceB ZpointVue sub def
/RXvueC XFaceC XpointVue sub def
/RYvueC YFaceC YpointVue sub def
/RZvueC ZFaceC ZpointVue sub def
/RXvueD XFaceD XpointVue sub def
/RYvueD YFaceD YpointVue sub def
/RZvueD ZFaceD ZpointVue sub def
% produit scalaire
/PSA RXvueA NxA mul RYvueA NyA mul add RZvueA NzA mul add def
/PSB RXvueB NxB mul RYvueB NyB mul add RZvueB NzB mul add def
/PSC RXvueC NxC mul RYvueC NyC mul add RZvueC NzC mul add def
/PSD RXvueD NxD mul RYvueD NyD mul add RZvueD NzD mul add def
}
def
/Tetraedre{%
SommetsTetraedre
% face ABC
PSA 0 le { %
reduction reduction scale
1 setlinejoin
/Xabscisse XA def
/Yordonnee YA def
/Zcote ZA def
CalcCoordinates
moveto
/Xabscisse XB def
/Yordonnee YB def
/Zcote ZB def
CalcCoordinates
lineto
/Xabscisse XC def
/Yordonnee YC def
/Zcote ZC def
CalcCoordinates
lineto
/Xabscisse XA def
/Yordonnee YA def
/Zcote ZA def
CalcCoordinates
lineto
} if
% face DAB
PSB 0 le { %
reduction reduction scale
1 setlinejoin
/Xabscisse XD def
/Yordonnee YD def
/Zcote ZD def
CalcCoordinates
moveto
/Xabscisse XA def
/Yordonnee YA def
/Zcote ZA def
CalcCoordinates
lineto
/Xabscisse XB def
/Yordonnee YB def
/Zcote ZB def
CalcCoordinates
lineto
/Xabscisse XD def
/Yordonnee YD def
/Zcote ZD def
CalcCoordinates
lineto
} if
% face DAC
PSC 0 le { %
reduction reduction scale
1 setlinejoin
/Xabscisse XD def
/Yordonnee YD def
/Zcote ZD def
CalcCoordinates
moveto
/Xabscisse XA def
/Yordonnee YA def
/Zcote ZA def
CalcCoordinates
lineto
/Xabscisse XC def
/Yordonnee YC def
/Zcote ZC def
CalcCoordinates
lineto
/Xabscisse XD def
/Yordonnee YD def
/Zcote ZD def
CalcCoordinates
lineto
} if
% face DBC
PSD 0 le { %
reduction reduction scale
1 setlinejoin
/Xabscisse XD def
/Yordonnee YD def
/Zcote ZD def
CalcCoordinates
moveto
/Xabscisse XB def
/Yordonnee YB def
/Zcote ZB def
CalcCoordinates
lineto
/Xabscisse XC def
/Yordonnee YC def
/Zcote ZC def
CalcCoordinates
lineto
/Xabscisse XD def
/Yordonnee YD def
/Zcote ZD def
CalcCoordinates
lineto
} if
}
def
%
/SommetsPyramide{%
/xA A def
/yA A neg def
/zA 0 def
/xB A def
/yB A def
/zB 0 def
/xC A neg def
/yC A def
/zC 0 def
/xD A neg def
/yD A neg def
/zD 0 def
/xS 0 def
/yS 0 def
/zS Hpyramide def
% coordonnées centre des faces
/Alpha A Hpyramide atan def
/xFaceSAB Hpyramide Alpha dup sin exch cos mul mul def
/yFaceSAB 0 def
/zFaceSAB Hpyramide Alpha sin dup mul mul def
/xFaceSBC 0 def
/yFaceSBC xFaceSAB def
/zFaceSBC zFaceSAB fracHeight mul def
/xFaceSCD xFaceSAB neg def
/yFaceSCD 0 def
/zFaceSCD zFaceSAB fracHeight mul def
/xFaceSDA 0 def
/yFaceSDA xFaceSAB neg def
/zFaceSDA zFaceSAB fracHeight mul def
% sommets après rotation et translation
/XA M11 xA mul M12 yA mul add M13 zA mul add CX add def
/YA M21 xA mul M22 yA mul add M23 zA mul add CY add def
/ZA M31 xA mul M32 yA mul add M33 zA mul add CZ add def
/XB M11 xB mul M12 yB mul add M13 zB mul add CX add def
/YB M21 xB mul M22 yB mul add M23 zB mul add CY add def
/ZB M31 xB mul M32 yB mul add M33 zB mul add CZ add def
/XC M11 xC mul M12 yC mul add M13 zC mul add CX add def
/YC M21 xC mul M22 yC mul add M23 zC mul add CY add def
/ZC M31 xC mul M32 yC mul add M33 zC mul add CZ add def
/XD M11 xD mul M12 yD mul add M13 zD mul add CX add def
/YD M21 xD mul M22 yD mul add M23 zD mul add CY add def
/ZD M31 xD mul M32 yD mul add M33 zD mul add CZ add def
/XS M11 xS mul M12 yS mul add M13 zS mul add CX add def
/YS M21 xS mul M22 yS mul add M23 zS mul add CY add def
/ZS M31 xS mul M32 yS mul add M33 zS mul add CZ add def
% centres de faces après transformations
/XFaceSAB M11 xFaceSAB mul M12 yFaceSAB mul add M13 zFaceSAB mul add CX add def
/YFaceSAB M21 xFaceSAB mul M22 yFaceSAB mul add M23 zFaceSAB mul add CY add def
/ZFaceSAB M31 xFaceSAB mul M32 yFaceSAB mul add M33 zFaceSAB mul add CZ add def
/XFaceSBC M11 xFaceSBC mul M12 yFaceSBC mul add M13 zFaceSBC mul add CX add def
/YFaceSBC M21 xFaceSBC mul M22 yFaceSBC mul add M23 zFaceSBC mul add CY add def
/ZFaceSBC M31 xFaceSBC mul M32 yFaceSBC mul add M33 zFaceSBC mul add CZ add def
/XFaceSCD M11 xFaceSCD mul M12 yFaceSCD mul add M13 zFaceSCD mul add CX add def
/YFaceSCD M21 xFaceSCD mul M22 yFaceSCD mul add M23 zFaceSCD mul add CY add def
/ZFaceSCD M31 xFaceSCD mul M32 yFaceSCD mul add M33 zFaceSCD mul add CZ add def
/XFaceSDA M11 xFaceSDA mul M12 yFaceSDA mul add M13 zFaceSDA mul add CX add def
/YFaceSDA M21 xFaceSDA mul M22 yFaceSDA mul add M23 zFaceSDA mul add CY add def
/ZFaceSDA M31 xFaceSDA mul M32 yFaceSDA mul add M33 zFaceSDA mul add CZ add def
% Normales aux faces
/NxSAB XFaceSAB CX sub def
/NySAB YFaceSAB CY sub def
/NzSAB ZFaceSAB CZ sub def
/NxSBC XFaceSBC CX sub def
/NySBC YFaceSBC CY sub def
/NzSBC ZFaceSBC CZ sub def
/NxSCD XFaceSCD CX sub def
/NySCD YFaceSCD CY sub def
/NzSCD ZFaceSCD CZ sub def
/NxSDA XFaceSDA CX sub def
/NySDA YFaceSDA CY sub def
/NzSDA ZFaceSDA CZ sub def
/NxABCD CX XS sub def
/NyABCD CY YS sub def
/NzABCD CZ ZS sub def
% Conditions de visibilité
% rayon vers point de vue
/RXvueSAB XFaceSAB XpointVue sub def
/RYvueSAB YFaceSAB YpointVue sub def
/RZvueSAB ZFaceSAB ZpointVue sub def
/RXvueSBC XFaceSBC XpointVue sub def
/RYvueSBC YFaceSBC YpointVue sub def
/RZvueSBC ZFaceSBC ZpointVue sub def
/RXvueSCD XFaceSCD XpointVue sub def
/RYvueSCD YFaceSCD YpointVue sub def
/RZvueSCD ZFaceSCD ZpointVue sub def
/RXvueSDA XFaceSDA XpointVue sub def
/RYvueSDA YFaceSDA YpointVue sub def
/RZvueSDA ZFaceSDA ZpointVue sub def
/RXvueABCD CX XpointVue sub def
/RYvueABCD CY YpointVue sub def
/RZvueABCD CZ ZpointVue sub def
/PSAB RXvueSAB NxSAB mul RYvueSAB NySAB mul add RZvueSAB NzSAB mul add def
/PSBC RXvueSBC NxSBC mul RYvueSBC NySBC mul add RZvueSBC NzSBC mul add def
/PSCD RXvueSCD NxSCD mul RYvueSCD NySCD mul add RZvueSCD NzSCD mul add def
/PSDA RXvueSDA NxSDA mul RYvueSDA NySDA mul add RZvueSDA NzSDA mul add def
/PSABCD RXvueABCD NxABCD mul RYvueABCD NyABCD mul add RZvueABCD NzABCD 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 CX sub def
/nYfacette yCentreFacette CY sub def
/nZfacette zCentreFacette CZ sub 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
} def
%
/CylinderThreeD{
reduction reduction scale
1 setlinejoin
0 incrementANGLE 360 {%
/theta exch def
0 incrementHAUTEUR Hcylindre incrementHAUTEUR sub {%
/H exch def
% newpath
/X1 Rcylindre theta cos mul def
/Y1 Rcylindre theta sin mul def
/Z1 H def
/Xpoint X1 def
/Ypoint Y1 def
/Zpoint Z1 def
CalculsPointsAfterTransformations
/Xfacette Xabscisse def
/Yfacette Yordonnee def
/Zfacette Zcote def
CalcCoordinates
moveto
% coordonnées du centre de la facette
/Xpoint Rcylindre theta incrementANGLE 2 div add cos mul def
/Ypoint Rcylindre theta incrementANGLE 2 div add sin mul def
/Zpoint H incrementHAUTEUR 2 div add def
CalculsPointsAfterTransformations
% Point sur l'axe du cylindre
% à la même hauteur que M1
/Zpoint Z1 def
/Xpoint 0 def
/Ypoint 0 def
CalculsPointsAfterTransformations
% normale à la facette
/nXfacette Xfacette Xabscisse sub def
/nYfacette Yfacette Yordonnee sub def
/nZfacette Zfacette Zcote sub def
% rayon vers point de vue
/RXvue Xfacette XpointVue sub def
/RYvue Yfacette YpointVue sub def
/RZvue Zfacette ZpointVue sub def
% test de visibilité
/PSfacette nXfacette RXvue mul
nYfacette RYvue mul add
nZfacette RZvue mul add
def
PSfacette 0 le {
theta 1 theta incrementANGLE add {%
/theta1 exch def
/Xpoint Rcylindre theta1 cos mul def
/Ypoint Rcylindre theta1 sin mul def
/Zpoint H def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
H 1 H incrementHAUTEUR add {
/H1 exch def
/Xpoint Rcylindre theta incrementANGLE add cos mul def
/Ypoint Rcylindre theta incrementANGLE add sin mul def
/Zpoint H1 def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
theta incrementANGLE add -1 theta {%
/theta1 exch def
/Xpoint Rcylindre theta1 cos mul def
/Ypoint Rcylindre theta1 sin mul def
/Zpoint H incrementHAUTEUR add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
H incrementHAUTEUR add -1 H {
/H1 exch def
/Xpoint Rcylindre theta cos mul def
/Ypoint Rcylindre theta sin mul def
/Zpoint H1 def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
} if
} for
} for
% Face supérieure
% centre de la face supérieure
/Xpoint 0 def
/Zpoint Hcylindre def
/Ypoint 0 def
CalculsPointsAfterTransformations
/CxFaceSup Xabscisse def
/CyFaceSup Yordonnee def
/CzFaceSup Zcote def
% centre de la face inférieure
/CxFaceInf CX def
/CyFaceInf CY def
/CzFaceInf CZ def
% Normale à la face supérieure
/nXFaceSup CxFaceSup CxFaceInf sub def
/nYFaceSup CyFaceSup CyFaceInf sub def
/nZFaceSup CzFaceSup CzFaceInf sub def
% rayon vers point de vue verd la face inférieure
/RXvueInf CxFaceInf XpointVue sub def
/RYvueInf CyFaceInf YpointVue sub def
/RZvueInf CzFaceInf ZpointVue sub def
% rayon vers point de vue verd la face supérieure
/RXvueSup CxFaceSup XpointVue sub def
/RYvueSup CyFaceSup YpointVue sub def
/RZvueSup CzFaceSup ZpointVue sub def
% Visibilité face supérieure
/PSfaceSup RXvueSup nXFaceSup mul
RYvueSup nYFaceSup mul add
RZvueSup nZFaceSup mul add def
% Visibilité face inférieure
/PSfaceInf RXvueInf nXFaceSup neg mul
RYvueInf nYFaceSup mul sub
RZvueInf nZFaceSup mul sub def
PSfaceSup 0 le {
/TableauxPoints [
0 1 359 {% on décrit le cercle
/theta exch def [
/Xpoint Rcylindre theta cos mul def
/Ypoint Rcylindre theta sin mul def
/Zpoint Hcylindre def
CalculsPointsAfterTransformations
CalcCoordinates ]
} for
] def
gsave
newpath
TableauxPoints 0 get aload pop moveto
0 1 359 {
/compteur exch def
TableauxPoints compteur get aload pop
lineto } for
0.7 setgray
closepath
fill
grestore
} if
% face inférieure
PSfaceInf 0 le {
/TableauxPoints [
0 1 359 {% on décrit le cercle
/theta exch def [
/Xpoint Rcylindre theta cos mul def
/Ypoint Rcylindre theta sin mul def
/Zpoint 0 def
CalculsPointsAfterTransformations
CalcCoordinates ]
} for
] def
gsave
newpath
TableauxPoints 0 get aload pop moveto
0 1 359 {
/compteur exch def
TableauxPoints compteur get aload pop
lineto } for
0.7 setgray
closepath
fill
grestore
} if
} def
%
%
/ConeThreeD{
/AngleCone Rcone Hcone atan def
/TanAngleCone AngleCone dup sin exch cos div def
/incrementANGLE 10 def
/incrementHAUTEUR Hcone fracHeight mul 5 div def
1 setlinejoin
newpath
0 incrementANGLE 360 {%
/theta exch def
0 incrementHAUTEUR Hcone fracHeight mul incrementHAUTEUR sub {%
/H exch def
% normale à la facette
/nXfacette Hcone AngleCone dup sin exch cos mul theta incrementANGLE 2 div add cos mul
mul def
/nYfacette Hcone AngleCone dup sin exch cos mul theta incrementANGLE 2 div add sin mul
mul def
/nZfacette Hcone AngleCone sin dup mul mul def
/Xpoint nXfacette def
/Ypoint nYfacette def
/Zpoint nZfacette def
CalculsPointsAfterTransformations
/nXfacette Xabscisse CX sub def
/nYfacette Yordonnee CY sub def
/nZfacette Zcote CZ sub def
%
/OK Hcone H sub TanAngleCone mul def
/Xpoint OK theta cos mul def
/Ypoint OK theta sin mul def
/Zpoint H def
CalculsPointsAfterTransformations
/Xfacette Xabscisse def
/Yfacette Yordonnee def
/Zfacette Zcote def
CalcCoordinates
moveto
% coordonnées du centre de la facette
/OK Hcone H incrementHAUTEUR 2 div add sub TanAngleCone mul def
/Xpoint OK theta incrementANGLE 2 div add cos mul def
/Ypoint OK theta incrementANGLE 2 div add sin mul def
/Zpoint H incrementHAUTEUR 2 div add def
CalculsPointsAfterTransformations
/XcentreFacette Xabscisse def
/YcentreFacette Yordonnee def
/ZcentreFacette Zcote 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 nXfacette RXvue mul
nYfacette RYvue mul add
nZfacette RZvue mul add
def
PSfacette 0 le {
theta 1 theta incrementANGLE add {%
/theta1 exch def
/OK Hcone H sub TanAngleCone mul def
/Xpoint OK theta1 cos mul def
/Ypoint OK theta1 sin mul def
/Zpoint H def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
H 1 H incrementHAUTEUR add {
/H1 exch def
/OK Hcone H1 sub TanAngleCone mul def
/Xpoint OK theta incrementANGLE add cos mul def
/Ypoint OK theta incrementANGLE add sin mul def
/Zpoint H1 def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
theta incrementANGLE add -1 theta {%
/theta1 exch def
/OK Hcone H incrementHAUTEUR add sub TanAngleCone mul def
/Xpoint OK theta1 cos mul def
/Ypoint OK theta1 sin mul def
/Zpoint H incrementHAUTEUR add def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
H incrementHAUTEUR add -1 H {
/H1 exch def
/OK Hcone H1 sub TanAngleCone mul def
/Xpoint OK theta cos mul def
/Ypoint OK theta sin mul def
/Zpoint H1 def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
} if
} for
} for
% centre de la base inférieure après transformations
/CxFaceInf CX def
/CyFaceInf CY def
/CzFaceInf CZ def
% modification du 16/11/2002
% /Xpoint CxFaceInf def
% /Ypoint CyFaceInf def
% /Zpoint CzFaceInf def
/Xpoint 0 def
/Ypoint 0 def
/Zpoint 0 def
% fin modification du 16/11/2002
CalculsPointsAfterTransformations
/CxBaseInf Xabscisse def
/CyBaseInf Yordonnee def
/CzBaseInf Zcote def
% centre de la base supérieure avant transformations
/CxFaceSup 0 def
/CyFaceSup 0 def
/CzFaceSup Hcone fracHeight mul def
% Sommet du cone
/Xpoint 0 def
/Ypoint 0 def
/Zpoint Hcone def
CalculsPointsAfterTransformations
/XsommetCone Xabscisse def
/YsommetCone Yordonnee def
/ZsommetCone Zcote def
% Normale extérieure à la base inférieure
/nXBaseInf CxFaceInf XsommetCone sub def
/nYBaseInf CyFaceInf YsommetCone sub def
/nZBaseInf CzFaceInf ZsommetCone sub def
% centre de la base supérieure
/Xpoint CxFaceSup def
/Ypoint CyFaceSup def
/Zpoint CzFaceSup def
CalculsPointsAfterTransformations
/CxBaseSup Xabscisse def
/CyBaseSup Yordonnee def
/CzBaseSup Zcote def
% Normale extérieure à la base supérieure
/nXBaseSup XsommetCone CxFaceSup sub def
/nYBaseSup YsommetCone CyFaceSup sub def
/nZBaseSup ZsommetCone CzFaceSup sub def
% rayon vers point de vue
/RXvueSup CxBaseSup XpointVue sub def
/RYvueSup CyBaseSup YpointVue sub def
/RZvueSup CzBaseSup ZpointVue sub def
/RXvueInf CxBaseInf XpointVue sub def
/RYvueInf CyBaseInf YpointVue sub def
/RZvueInf CzBaseInf ZpointVue sub def
% Visibilité de la base inférieure
/PSbaseInfCone nXBaseInf RXvueInf mul
nYBaseInf RYvueInf mul add
nZBaseInf RZvueInf mul add def
% Visibilité de la base supérieure
/PSbaseSupCone nXBaseSup RXvueSup mul
nYBaseSup RYvueSup mul add
nZBaseSup RZvueSup mul add def
PSbaseInfCone 0 le {
/TableauxPoints [
0 1 359 {% on décrit le cercle
/theta exch def [
/Xpoint Rcone theta cos mul def
/Ypoint Rcone theta sin mul def
/Zpoint 0 def
CalculsPointsAfterTransformations
CalcCoordinates ]
} for
] def
gsave
newpath
TableauxPoints 0 get aload pop moveto
0 1 359 {
/compteur exch def
TableauxPoints compteur get aload pop
lineto } for
0.7 setgray
closepath
fill
grestore
} if
%% PSbaseSupCone 0 le {
%% modifié le 31/10/2003
%PSbaseSupCone 0 ge {
PSbaseSupCone 0 le {
/TableauxPoints [
0 1 359 {% on décrit le cercle
/theta exch def [
/OK Hcone 1 fracHeight sub mul TanAngleCone mul def
/Xpoint OK theta cos mul def
/Ypoint OK theta sin mul def
/Zpoint Hcone fracHeight mul def
CalculsPointsAfterTransformations
CalcCoordinates ]
} for
] def
gsave
newpath
TableauxPoints 0 get aload pop moveto
0 1 359 {
/compteur exch def
TableauxPoints compteur get aload pop
lineto } for
0.7 setgray
closepath
fill
grestore
} if
} def
/PortionSphere{%
/Xpoint Rsphere psTHETA dTHETA neg add cos mul psPHI dPHI sub cos mul def
/Ypoint Rsphere psTHETA dTHETA neg add sin mul psPHI dPHI sub cos mul def
/Zpoint Rsphere psPHI dPHI sub sin mul def
CalculsPointsAfterTransformations
/xCentreFacette Xabscisse def
/yCentreFacette Yordonnee def
/zCentreFacette Zcote def
% normale à la facette
/nXfacette xCentreFacette CX sub def
/nYfacette yCentreFacette CY sub def
/nZfacette zCentreFacette CZ sub 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
PSfacette 0 le {
CalcCoordinates
newpath
moveto
psTHETA dTHETA sub 1 psTHETA dTHETA add {
/Theta exch def
/Xpoint Rsphere Theta cos psPHI dPHI sub cos mul mul def
/Ypoint Rsphere Theta sin psPHI dPHI sub cos mul mul def
/Zpoint Rsphere psPHI dPHI sub sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
psPHI dPHI sub 1 psPHI dPHI add {
/Phi exch def
/Xpoint Rsphere psTHETA dTHETA add cos Phi cos mul mul def
/Ypoint Rsphere psTHETA dTHETA add sin Phi cos mul mul def
/Zpoint Rsphere Phi sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
psTHETA dTHETA add -1 psTHETA dTHETA sub {
/Theta exch def
/Xpoint Rsphere Theta cos psPHI dPHI add cos mul mul def
/Ypoint Rsphere Theta sin psPHI dPHI add cos mul mul def
/Zpoint Rsphere psPHI dPHI add sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
psPHI dPHI add -1 psPHI dPHI sub {
/Phi exch def
/Xpoint Rsphere psTHETA dTHETA sub cos Phi cos mul mul def
/Ypoint Rsphere psTHETA dTHETA sub sin Phi cos mul mul def
/Zpoint Rsphere Phi sin mul def
CalculsPointsAfterTransformations
CalcCoordinates
lineto
} for
closepath
} if
} def
% Dodecahedron : 31 décembre 2003
% datas : Graphisme scientifique R.Dony
% Masson ed. page 240
/Dodecahedron{%
/XA M11 0 mul M12 A 0.607062 mul mul add M13 A mul 0.794655 mul add CX add def
/YA M21 0 mul M22 A 0.607062 mul mul add M23 A mul 0.794655 mul add CY add def
/ZA M31 0 mul M32 A 0.607062 mul mul add M33 A mul 0.794655 mul add CZ add def
/XB M11 A mul -0.5773503 mul M12 A mul 0.1875925 mul add M13 A mul 0.7946545 mul add CX add def
/YB M21 A mul -0.5773503 mul M22 A mul 0.1875925 mul add M23 A mul 0.7946545 mul add CY add def
/ZB M31 A mul -0.5773503 mul M32 A mul 0.1875925 mul add M33 A mul 0.7946545 mul add CZ add def
/XC M11 A mul -0.3568221 mul M12 A mul -0.4911235 mul add M13 A mul 0.7946545 mul add CX add def
/YC M21 A mul -0.3568221 mul M22 A mul -0.4911235 mul add M23 A mul 0.7946545 mul add CY add def
/ZC M31 A mul -0.3568221 mul M32 A mul -0.4911235 mul add M33 A mul 0.7946545 mul add CZ add def
/XD M11 A mul 0.3568221 mul M12 A mul -0.4911235 mul add M13 A mul 0.7946545 mul add CX add def
/YD M21 A mul 0.3568221 mul M22 A mul -0.4911235 mul add M23 A mul 0.7946545 mul add CY add def
/ZD M31 A mul 0.3568221 mul M32 A mul -0.4911235 mul add M33 A mul 0.7946545 mul add CZ add def
/XE M11 A mul 0.5773503 mul M12 A mul 0.1875925 mul add M13 A mul 0.7946545 mul add CX add def
/YE M21 A mul 0.5773503 mul M22 A mul 0.1875925 mul add M23 A mul 0.7946545 mul add CY add def
/ZE M31 A mul 0.5773503 mul M32 A mul 0.1875925 mul add M33 A mul 0.7946545 mul add CZ add def
/XF M11 A mul 0 mul M12 A mul 0.982247 mul add M13 A mul 0.175925 mul add CX add def
/YF M21 A mul 0 mul M22 A mul 0.982247 mul add M23 A mul 0.175925 mul add CY add def
/ZF M31 A mul 0 mul M32 A mul 0.982247 mul add M33 A mul 0.175925 mul add CZ add def
/XG M11 A mul -0.9341724 mul M12 A mul 0.303531 mul add M13 A mul 0.1875925 mul add CX add def
/YG M21 A mul -0.9341724 mul M22 A mul 0.303531 mul add M23 A mul 0.1875925 mul add CY add def
/ZG M31 A mul -0.9341724 mul M32 A mul 0.303531 mul add M33 A mul 0.1875925 mul add CZ add def
/XH M11 A mul -0.5773503 mul M12 A mul -0.7946545 mul add M13 A mul 0.1875925 mul add CX add def
/YH M21 A mul -0.5773503 mul M22 A mul -0.7946545 mul add M23 A mul 0.1875925 mul add CY add def
/ZH M31 A mul -0.5773503 mul M32 A mul -0.7946545 mul add M33 A mul 0.1875925 mul add CZ add def
/XI M11 A mul 0.5773503 mul M12 A mul -0.7946545 mul add M13 A mul 0.1875925 mul add CX add def
/YI M21 A mul 0.5773503 mul M22 A mul -0.7946545 mul add M23 A mul 0.1875925 mul add CY add def
/ZI M31 A mul 0.5773503 mul M32 A mul -0.7946545 mul add M33 A mul 0.1875925 mul add CZ add def
/XJ M11 A mul 0.9341724 mul M12 A mul 0.303531 mul add M13 A mul 0.1875925 mul add CX add def
/YJ M21 A mul 0.9341724 mul M22 A mul 0.303531 mul add M23 A mul 0.1875925 mul add CY add def
/ZJ M31 A mul 0.9341724 mul M32 A mul 0.303531 mul add M33 A mul 0.1875925 mul add CZ add def
/XK M11 A mul 0 mul M12 A mul -0.982247 mul add M13 A mul -0.1875925 mul add CX add def
/YK M21 A mul 0 mul M22 A mul -0.982247 mul add M23 A mul -0.1875925 mul add CY add def
/ZK M31 A mul 0 mul M32 A mul -0.982247 mul add M33 A mul -0.1875925 mul add CZ add def
/XL M11 A mul 0.9341724 mul M12 A mul -0.303531 mul add M13 A mul -0.1875925 mul add CX add def
/YL M21 A mul 0.9341724 mul M22 A mul -0.303531 mul add M23 A mul -0.1875925 mul add CY add def
/ZL M31 A mul 0.9341724 mul M32 A mul -0.303531 mul add M33 A mul -0.1875925 mul add CZ add def
/XM M11 A mul 0.5773503 mul M12 A mul 0.7946545 mul add M13 A mul -0.1875925 mul add CX add def
/YM M21 A mul 0.5773503 mul M22 A mul 0.7946545 mul add M23 A mul -0.1875925 mul add CY add def
/ZM M31 A mul 0.5773503 mul M32 A mul 0.7946545 mul add M33 A mul -0.1875925 mul add CZ add def
/XN M11 A mul -0.5773503 mul M12 A mul 0.7946545 mul add M13 A mul -0.1875925 mul add CX add def
/YN M21 A mul -0.5773503 mul M22 A mul 0.7946545 mul add M23 A mul -0.1875925 mul add CY add def
/ZN M31 A mul -0.5773503 mul M32 A mul 0.7946545 mul add M33 A mul -0.1875925 mul add CZ add def
/XO M11 A mul -0.9341724 mul M12 A mul -0.303531 mul add M13 A mul -0.1875925 mul add CX add def
/YO M21 A mul -0.9341724 mul M22 A mul -0.303531 mul add M23 A mul -0.1875925 mul add CY add def
/ZO M31 A mul -0.9341724 mul M32 A mul -0.303531 mul add M33 A mul -0.1875925 mul add CZ add def
/XP M11 A mul -0.5773503 mul M12 A mul -0.1875925 mul add M13 A mul -0.7946545 mul add CX add def
/YP M21 A mul -0.5773503 mul M22 A mul -0.1875925 mul add M23 A mul -0.7946545 mul add CY add def
/ZP M31 A mul -0.5773503 mul M32 A mul -0.1875925 mul add M33 A mul -0.7946545 mul add CZ add def
/XQ M11 A mul -0.3568221 mul M12 A mul 0.4911235 mul add M13 A mul -0.7946545 mul add CX add def
/YQ M21 A mul -0.3568221 mul M22 A mul 0.4911235 mul add M23 A mul -0.7946545 mul add CY add def
/ZQ M31 A mul -0.3568221 mul M32 A mul 0.4911235 mul add M33 A mul -0.7946545 mul add CZ add def
/XR M11 A mul 0.3568221 mul M12 A mul 0.4911235 mul add M13 A mul -0.7946545 mul add CX add def
/YR M21 A mul 0.3568221 mul M22 A mul 0.4911235 mul add M23 A mul -0.7946545 mul add CY add def
/ZR M31 A mul 0.3568221 mul M32 A mul 0.4911235 mul add M33 A mul -0.7946545 mul add CZ add def
/XS M11 A mul 0.5773503 mul M12 A mul -0.1875925 mul add M13 A mul -0.7946545 mul add CX add def
/YS M21 A mul 0.5773503 mul M22 A mul -0.1875925 mul add M23 A mul -0.7946545 mul add CY add def
/ZS M31 A mul 0.5773503 mul M32 A mul -0.1875925 mul add M33 A mul -0.7946545 mul add CZ add def
/XT M11 0 mul M12 A -0.607062 mul mul add M13 A mul -0.794655 mul add CX add def
/YT M21 0 mul M22 A -0.607062 mul mul add M23 A mul -0.794655 mul add CY add def
/ZT M31 0 mul M32 A -0.607062 mul mul add M33 A mul -0.794655 mul add CZ add def
% Centres des faces : condition de visibilité
% FACE 1 pentagone régulier ABCDE
% OC1
/XC1 XA XB add XC add XD add XE add 5 div def
/YC1 YA YB add YC add YD add YE add 5 div def
/ZC1 ZA ZB add ZC add ZD add ZE add 5 div def
% Normale à la face 1
/NX1 XC1 CX sub def
/NY1 YC1 CY sub def
/NZ1 ZC1 CZ sub def
% rayon vers point de vue
/RXvue1 XC1 XpointVue sub def
/RYvue1 YC1 YpointVue sub def
/RZvue1 ZC1 ZpointVue sub def
% produit scalaire
/PS1 RXvue1 NX1 mul RYvue1 NY1 mul add RZvue1 NZ1 mul add def
% FACE 2 pentagone régulier EDILJ
% OC2
/XC2 XE XD add XI add XL add XJ add 5 div def
/YC2 YE YD add YI add YL add YJ add 5 div def
/ZC2 ZE ZD add ZI add ZL add ZJ add 5 div def
% Normale à la face 2
/NX2 XC2 CX sub def
/NY2 YC2 CY sub def
/NZ2 ZC2 CZ sub def
% rayon vers point de vue
/RXvue2 XC2 XpointVue sub def
/RYvue2 YC2 YpointVue sub def
/RZvue2 ZC2 ZpointVue sub def
% produit scalaire
/PS2 RXvue2 NX2 mul RYvue2 NY2 mul add RZvue2 NZ2 mul add def
% FACE 3 pentagone régulier EJMFA
% OC3
/XC3 XE XJ add XM add XF add XA add 5 div def
/YC3 YE YJ add YM add YF add YA add 5 div def
/ZC3 ZE ZJ add ZM add ZF add ZA add 5 div def
% Normale à la face 2
/NX3 XC3 CX sub def
/NY3 YC3 CY sub def
/NZ3 ZC3 CZ sub def
% rayon vers point de vue
/RXvue3 XC3 XpointVue sub def
/RYvue3 YC3 YpointVue sub def
/RZvue3 ZC3 ZpointVue sub def
% produit scalaire
/PS3 RXvue3 NX3 mul RYvue3 NY3 mul add RZvue3 NZ3 mul add def
% FACE 4 pentagone régulier AFNGB
% OC4
/XC4 XA XF add XN add XG add XB add 5 div def
/YC4 YA YF add YN add YG add YB add 5 div def
/ZC4 ZA ZF add ZN add ZG add ZB add 5 div def
% Normale à la face 4
/NX4 XC4 CX sub def
/NY4 YC4 CY sub def
/NZ4 ZC4 CZ sub def
% rayon vers point de vue
/RXvue4 XC4 XpointVue sub def
/RYvue4 YC4 YpointVue sub def
/RZvue4 ZC4 ZpointVue sub def
% produit scalaire
/PS4 RXvue4 NX4 mul RYvue4 NY4 mul add RZvue4 NZ4 mul add def
% FACE 5 pentagone régulier BGOHC
% OC5
/XC5 XB XG add XO add XH add XC add 5 div def
/YC5 YB YG add YO add YH add YC add 5 div def
/ZC5 ZB ZG add ZO add ZH add ZC add 5 div def
% Normale à la face 5
/NX5 XC5 CX sub def
/NY5 YC5 CY sub def
/NZ5 ZC5 CZ sub def
% rayon vers point de vue
/RXvue5 XC5 XpointVue sub def
/RYvue5 YC5 YpointVue sub def
/RZvue5 ZC5 ZpointVue sub def
% produit scalaire
/PS5 RXvue5 NX5 mul RYvue5 NY5 mul add RZvue5 NZ5 mul add def
% FACE 6 pentagone régulier CHKID
% OC6
/XC6 XC XH add XK add XI add XD add 5 div def
/YC6 YC YH add YK add YI add YD add 5 div def
/ZC6 ZC ZH add ZK add ZI add ZD add 5 div def
% Normale à la face 6
/NX6 XC6 CX sub def
/NY6 YC6 CY sub def
/NZ6 ZC6 CZ sub def
% rayon vers point de vue
/RXvue6 XC6 XpointVue sub def
/RYvue6 YC6 YpointVue sub def
/RZvue6 ZC6 ZpointVue sub def
% produit scalaire
/PS6 RXvue6 NX6 mul RYvue6 NY6 mul add RZvue6 NZ6 mul add def
% FACE 7 pentagone régulier KTSLI
% OC7
/XC7 XK XT add XS add XL add XI add 5 div def
/YC7 YK YT add YS add YL add YI add 5 div def
/ZC7 ZK ZT add ZS add ZL add ZI add 5 div def
% Normale à la face 7
/NX7 XC7 CX sub def
/NY7 YC7 CY sub def
/NZ7 ZC7 CZ sub def
% rayon vers point de vue
/RXvue7 XC7 XpointVue sub def
/RYvue7 YC7 YpointVue sub def
/RZvue7 ZC7 ZpointVue sub def
% produit scalaire
/PS7 RXvue7 NX7 mul RYvue7 NY7 mul add RZvue7 NZ7 mul add def
% FACE 8 pentagone régulier LSRMJ
% OC8
/XC8 XL XS add XR add XM add XJ add 5 div def
/YC8 YL YS add YR add YM add YJ add 5 div def
/ZC8 ZL ZS add ZR add ZM add ZJ add 5 div def
% Normale à la face 8
/NX8 XC8 CX sub def
/NY8 YC8 CY sub def
/NZ8 ZC8 CZ sub def
% rayon vers point de vue
/RXvue8 XC8 XpointVue sub def
/RYvue8 YC8 YpointVue sub def
/RZvue8 ZC8 ZpointVue sub def
% produit scalaire
/PS8 RXvue8 NX8 mul RYvue8 NY8 mul add RZvue8 NZ8 mul add def
% FACE 9 pentagone régulier MRQNF
% OC9
/XC9 XM XR add XQ add XN add XF add 5 div def
/YC9 YM YR add YQ add YN add YF add 5 div def
/ZC9 ZM ZR add ZQ add ZN add ZF add 5 div def
% Normale à la face 6
/NX9 XC9 CX sub def
/NY9 YC9 CY sub def
/NZ9 ZC9 CZ sub def
% rayon vers point de vue
/RXvue9 XC9 XpointVue sub def
/RYvue9 YC9 YpointVue sub def
/RZvue9 ZC9 ZpointVue sub def
% produit scalaire
/PS9 RXvue9 NX9 mul RYvue9 NY9 mul add RZvue9 NZ9 mul add def
% FACE 10 pentagone régulier NQPOG
% OC10
/XC10 XN XQ add XP add XO add XG add 5 div def
/YC10 YN YQ add YP add YO add YG add 5 div def
/ZC10 ZN ZQ add ZP add ZO add ZG add 5 div def
% Normale à la face 6
/NX10 XC10 CX sub def
/NY10 YC10 CY sub def
/NZ10 ZC10 CZ sub def
% rayon vers point de vue
/RXvue10 XC10 XpointVue sub def
/RYvue10 YC10 YpointVue sub def
/RZvue10 ZC10 ZpointVue sub def
% produit scalaire
/PS10 RXvue10 NX10 mul RYvue10 NY10 mul add RZvue10 NZ10 mul add def
% FACE 11 pentagone régulier OPTKH
% OC11
/XC11 XO XP add XT add XK add XH add 5 div def
/YC11 YO YP add YT add YK add YH add 5 div def
/ZC11 ZO ZP add ZT add ZK add ZH add 5 div def
% Normale à la face 11
/NX11 XC11 CX sub def
/NY11 YC11 CY sub def
/NZ11 ZC11 CZ sub def
% rayon vers point de vue
/RXvue11 XC11 XpointVue sub def
/RYvue11 YC11 YpointVue sub def
/RZvue11 ZC11 ZpointVue sub def
% produit scalaire
/PS11 RXvue11 NX11 mul RYvue11 NY11 mul add RZvue11 NZ11 mul add def
% FACE 12 pentagone régulier PQRST
% OC12
/XC12 XP XQ add XR add XS add XT add 5 div def
/YC12 YP YQ add YR add YS add YT add 5 div def
/ZC12 ZP ZQ add ZR add ZS add ZT add 5 div def
% Normale à la face 12
/NX12 XC12 CX sub def
/NY12 YC12 CY sub def
/NZ12 ZC12 CZ sub def
% rayon vers point de vue
/RXvue12 XC12 XpointVue sub def
/RYvue12 YC12 YpointVue sub def
/RZvue12 ZC12 ZpointVue sub def
% produit scalaire
/PS12 RXvue12 NX12 mul RYvue12 NY12 mul add RZvue12 NZ12 mul add def
% faceOne ABDCE
PS1 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YA def
/Zcote ZA def
/Xabscisse XA def
CalcCoordinates
moveto
/Zcote ZB def
/Xabscisse XB def
/Yordonnee YB def
CalcCoordinates
lineto
/Zcote ZC def
/Xabscisse XC def
/Yordonnee YC def
CalcCoordinates
lineto
/Zcote ZD def
/Xabscisse XD def
/Yordonnee YD def
CalcCoordinates
lineto
/Zcote ZE def
/Xabscisse XE def
/Yordonnee YE def
CalcCoordinates
lineto
closepath
gsave
0.05 0.1 0.1 0 setcmykcolor
fill
grestore
stroke
} if
% face2 EDILJ
PS2 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YE def
/Zcote ZE def
/Xabscisse XE def
CalcCoordinates
moveto
/Zcote ZD def
/Xabscisse XD def
/Yordonnee YD def
CalcCoordinates
lineto
/Zcote ZI def
/Xabscisse XI def
/Yordonnee YI def
CalcCoordinates
lineto
/Zcote ZL def
/Xabscisse XL def
/Yordonnee YL def
CalcCoordinates
lineto
/Zcote ZJ def
/Xabscisse XJ def
/Yordonnee YJ def
CalcCoordinates
lineto
closepath
gsave
0.05 0.15 0.15 0 setcmykcolor
fill
grestore
stroke
} if
% face3 EJMFA
PS3 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YE def
/Zcote ZE def
/Xabscisse XE def
CalcCoordinates
moveto
/Zcote ZJ def
/Xabscisse XJ def
/Yordonnee YJ def
CalcCoordinates
lineto
/Zcote ZM def
/Xabscisse XM def
/Yordonnee YM def
CalcCoordinates
lineto
/Zcote ZF def
/Xabscisse XF def
/Yordonnee YF def
CalcCoordinates
lineto
/Zcote ZA def
/Xabscisse XA def
/Yordonnee YA def
CalcCoordinates
lineto
closepath
gsave
0.05 0.2 0.2 0 setcmykcolor
fill
grestore
stroke
} if
% face4 AFNGB
PS4 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YA def
/Zcote ZA def
/Xabscisse XA def
CalcCoordinates
moveto
/Zcote ZF def
/Xabscisse XF def
/Yordonnee YF def
CalcCoordinates
lineto
/Zcote ZN def
/Xabscisse XN def
/Yordonnee YN def
CalcCoordinates
lineto
/Zcote ZG def
/Xabscisse XG def
/Yordonnee YG def
CalcCoordinates
lineto
/Zcote ZB def
/Xabscisse XB def
/Yordonnee YB def
CalcCoordinates
lineto
closepath
gsave
0.05 0.25 0.25 0 setcmykcolor
fill
grestore
stroke
} if
% face5 BGOHC
PS5 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YB def
/Zcote ZB def
/Xabscisse XB def
CalcCoordinates
moveto
/Zcote ZG def
/Xabscisse XG def
/Yordonnee YG def
CalcCoordinates
lineto
/Zcote ZO def
/Xabscisse XO def
/Yordonnee YO def
CalcCoordinates
lineto
/Zcote ZH def
/Xabscisse XH def
/Yordonnee YH def
CalcCoordinates
lineto
/Zcote ZC def
/Xabscisse XC def
/Yordonnee YC def
CalcCoordinates
lineto
closepath
gsave
0.05 0.3 0.3 0 setcmykcolor
fill
grestore
stroke
} if
% face6 CHKID
PS6 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YC def
/Zcote ZC def
/Xabscisse XC def
CalcCoordinates
moveto
/Zcote ZH def
/Xabscisse XH def
/Yordonnee YH def
CalcCoordinates
lineto
/Zcote ZK def
/Xabscisse XK def
/Yordonnee YK def
CalcCoordinates
lineto
/Zcote ZI def
/Xabscisse XI def
/Yordonnee YI def
CalcCoordinates
lineto
/Zcote ZD def
/Xabscisse XD def
/Yordonnee YD def
CalcCoordinates
lineto
closepath
gsave
0.05 0.35 0.35 0 setcmykcolor
fill
grestore
stroke
} if
% face7 KTSLI
PS7 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YK def
/Zcote ZK def
/Xabscisse XK def
CalcCoordinates
moveto
/Zcote ZT def
/Xabscisse XT def
/Yordonnee YT def
CalcCoordinates
lineto
/Zcote ZS def
/Xabscisse XS def
/Yordonnee YS def
CalcCoordinates
lineto
/Zcote ZL def
/Xabscisse XL def
/Yordonnee YL def
CalcCoordinates
lineto
/Zcote ZI def
/Xabscisse XI def
/Yordonnee YI def
CalcCoordinates
lineto
closepath
gsave
0.05 0.4 0.4 0 setcmykcolor
fill
grestore
stroke
} if
% face8 LSRMJ
PS8 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YL def
/Zcote ZL def
/Xabscisse XL def
CalcCoordinates
moveto
/Zcote ZS def
/Xabscisse XS def
/Yordonnee YS def
CalcCoordinates
lineto
/Zcote ZR def
/Xabscisse XR def
/Yordonnee YR def
CalcCoordinates
lineto
/Zcote ZM def
/Xabscisse XM def
/Yordonnee YM def
CalcCoordinates
lineto
/Zcote ZJ def
/Xabscisse XJ def
/Yordonnee YJ def
CalcCoordinates
lineto
closepath
gsave
0.05 0.45 0.45 0 setcmykcolor
fill
grestore
stroke
} if
% face9 MRQNF
PS9 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YM def
/Zcote ZM def
/Xabscisse XM def
CalcCoordinates
moveto
/Zcote ZR def
/Xabscisse XR def
/Yordonnee YR def
CalcCoordinates
lineto
/Zcote ZQ def
/Xabscisse XQ def
/Yordonnee YQ def
CalcCoordinates
lineto
/Zcote ZN def
/Xabscisse XN def
/Yordonnee YN def
CalcCoordinates
lineto
/Zcote ZF def
/Xabscisse XF def
/Yordonnee YF def
CalcCoordinates
lineto
closepath
gsave
0.05 0.5 0.5 0 setcmykcolor
fill
grestore
stroke
} if
% face10 NQPOG
PS10 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YN def
/Zcote ZN def
/Xabscisse XN def
CalcCoordinates
moveto
/Zcote ZQ def
/Xabscisse XQ def
/Yordonnee YQ def
CalcCoordinates
lineto
/Zcote ZP def
/Xabscisse XP def
/Yordonnee YP def
CalcCoordinates
lineto
/Zcote ZO def
/Xabscisse XO def
/Yordonnee YO def
CalcCoordinates
lineto
/Zcote ZG def
/Xabscisse XG def
/Yordonnee YG def
CalcCoordinates
lineto
closepath
gsave
0.05 0.55 0.55 0 setcmykcolor
fill
grestore
stroke
} if
% face11 OPTKH
PS11 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YO def
/Zcote ZO def
/Xabscisse XO def
CalcCoordinates
moveto
/Zcote ZP def
/Xabscisse XP def
/Yordonnee YP def
CalcCoordinates
lineto
/Zcote ZT def
/Xabscisse XT def
/Yordonnee YT def
CalcCoordinates
lineto
/Zcote ZK def
/Xabscisse XK def
/Yordonnee YK def
CalcCoordinates
lineto
/Zcote ZH def
/Xabscisse XH def
/Yordonnee YH def
CalcCoordinates
lineto
closepath
gsave
0.05 0.6 0.6 0 setcmykcolor
fill
grestore
stroke
} if
% face12 PQRST
PS12 0 Condition { %
reduction reduction scale
1 setlinejoin
newpath
/Yordonnee YP def
/Zcote ZP def
/Xabscisse XP def
CalcCoordinates
moveto
/Zcote ZQ def
/Xabscisse XQ def
/Yordonnee YQ def
CalcCoordinates
lineto
/Zcote ZR def
/Xabscisse XR def
/Yordonnee YR def
CalcCoordinates
lineto
/Zcote ZS def
/Xabscisse XS def
/Yordonnee YS def
CalcCoordinates
lineto
/Zcote ZT def
/Xabscisse XT def
/Yordonnee YT def
CalcCoordinates
lineto
closepath
gsave
0.05 0.65 0.65 0 setcmykcolor
fill
grestore
stroke
} if
}
def
end
|