diff options
| author | Karl Berry <karl@freefriends.org> | 2008-08-02 23:12:12 +0000 |
|---|---|---|
| committer | Karl Berry <karl@freefriends.org> | 2008-08-02 23:12:12 +0000 |
| commit | e64ffb6f004c76b6552fa48978e1ab5a97cdf4db (patch) | |
| tree | ec554d0aeea6c375082c170705b704735cdfd9e0 /Master/texmf-dist/doc/generic | |
| parent | 4b522fc9f9bf01716bc73a2f3d23f505bccee883 (diff) | |
pst-solides3d 4.10 (rename from pst-solide3d) (2aug08)
git-svn-id: svn://tug.org/texlive/trunk@10017 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/generic')
159 files changed, 94268 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/README b/Master/texmf-dist/doc/generic/pst-solides3d/README new file mode 100644 index 00000000000..713806717ec --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/README @@ -0,0 +1,60 @@ +fichier README.txt pour pst-solides3d + +This program can be redistributed and/or modified under the terms +of the LaTeX Project Public License Distributed from CTAN +archives in directory macros/latex/base/lppl.txt. + +1) Installation de pst-solides3d, méthode "propre" +================================================== + +Installation hints for 'pst-solides3d' on your TeX system + +The package consists of the three main files for 'pst-solides3d' + + solides.pro : the prolog file for 'pst-solides3d' + pst-solides3d.sty : the appropriate style file + pst-solides3d.tex : the appropriate tex file + +some extension files for 'pst-rubans' + + pst-rubans.sty : the appropriate style file + pst-rubans.tex : the appropriate tex file + +and as well some modified 'pstricks' base files, which will be +included in the next possible distribution of 'pstricks' + + pstricks.pro : the prolog file for pstricks + pstricks.tex : the appropriate style file + + +Save the files pst-solides3d.sty|tex, pst-rubans.sty|tex and +pstricks.tex in a directory, which is part of your local TeX tree. + +However the solides.pro and the pstricks.pro file should go into the +folder $TEXMF/dvips/pstricks/ + +Do not forget to run texhash to update this tree (for MiKTeX users do +not forget to update file name data base). +For more detailed information see the documentation of your personal +LaTeX distribution on installing packages into your local TeX system. + + +2) Installation de pst-solides3d, méthode "provisoire" +====================================================== + +Pour faire fonctionner le package pst-solides3d, vous avez besoin des +fichiers : + solides.pro + pst-solides3d.tex + pst-solides3d.sty +qui sont a rajouter dans le repertoire de compilation. Ces fichiers +donnent accès à l'ensemble des macros proposées, à l'exception de +l'option [algebraic]. + +Pour faire fonctionner l'option [algebraic] du package pst-solides3d, +vous avez besoin des dernieres versions de + pstricks.tex + pstricks.pro +qui sont distribuees avec ce package. Ces fichiers sont eux aussi a +placer dans le repertoire de compilation. + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/Makefile b/Master/texmf-dist/doc/generic/pst-solides3d/doc/Makefile new file mode 100644 index 00000000000..2932d981e82 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/Makefile @@ -0,0 +1,68 @@ +# `Makefile' for `pst-solides3d-doc.pdf', hv, 2008/08/01 + +.SUFFIXES : .tex .dvi .ps .pdf .eps + +PACKAGE = pst-solides3d + +MAIN = $(PACKAGE)-doc + +LATEX = latex + +ARCHNAME = $(MAIN)-$(shell date +%y%m%d) + +ARCHFILES = $(PACKAGE).sty $(PACKAGE).tex $(PACKAGE).pro $(MAIN).tex README Changes Makefile + +TDS = ~/PSTricks/PSTricks-TDS + +all : doc clean +doc: $(MAIN).pdf + +$(MAIN).pdf : $(MAIN).ps + GS_OPTIONS=-dAutoRotatePages=/None ps2pdf $< + +$(MAIN).ps : $(MAIN).dvi + dvips $< + +$(MAIN).dvi : $(MAIN).tex + $(LATEX) $< + $(LATEX) $< + if ! test -f $(basename $<).glo ; then touch $(basename $<).glo; fi + if ! test -f $(basename $<).idx ; then touch $(basename $<).idx; fi + makeindex -s gglo.ist -t $(basename $<).glg -o $(basename $<).gls \ + $(basename $<).glo + makeindex -t $(basename $<).ilg -o $(basename $<).ind \ + $(basename $<).idx + bibtex $(basename $<) + $(LATEX) $< + $(LATEX) $< + +clean : + $(RM) $(addprefix $(MAIN), .log .aux .bbl .blg .glg .glo .gls .ilg .idx .ind .tmp .toc .out ) + $(RM) $(addprefix $(MAIN), .dvi .ps) + +veryclean : clean + $(RM) $(addprefix $(MAIN), .pdf ) + +arch : + zip $(ARCHNAME).zip $(ARCHFILES) + +tds: +# cp -u Changes $(TDS)/doc/generic/$(PACKAGE)/ +# cp -u README $(TDS)/doc/generic/$(PACKAGE)/ + cp -u $(MAIN).pdf $(TDS)/doc/generic/$(PACKAGE)/ +# + cp -u ../Changes $(TDS)/tex/latex/$(PACKAGE)/ + cp -u ../$(PACKAGE).sty $(TDS)/tex/latex/$(PACKAGE)/ +# + cp -u ../Changes $(TDS)/tex/generic/$(PACKAGE)/ + cp -u ../$(PACKAGE).tex $(TDS)/tex/generic/$(PACKAGE)/ +# + cp -u ../Changes $(TDS)/dvips/$(PACKAGE)/ + cp -u ../$(PACKAGE).pro $(TDS)/dvips/$(PACKAGE)/ +# + cp -u ../Changes $(TDS)/source/$(PACKAGE)/ + cp -u $(MAIN).tex $(TDS)/source/$(PACKAGE)/ + cp -u $(MAIN).bib $(TDS)/source/$(PACKAGE)/ + cp -u Makefile $(TDS)/source/$(PACKAGE)/ + +# EOF diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/Pyramid-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/Pyramid-couleurs.dat new file mode 100644 index 00000000000..10e63400ed9 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/Pyramid-couleurs.dat @@ -0,0 +1,5 @@ +(1 1 0.5 setrgbcolor) +(1 1 0.5 setrgbcolor) +(1 1 0.5 setrgbcolor) +(1 1 0.5 setrgbcolor) +(1 1 0.5 setrgbcolor) diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/Pyramid-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/Pyramid-faces.dat new file mode 100644 index 00000000000..f7c22b10c3d --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/Pyramid-faces.dat @@ -0,0 +1,5 @@ +[3 2 1 0 ] +[4 0 3 ] +[4 3 2 ] +[4 2 1 ] +[4 1 0 ] diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/Pyramid-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/Pyramid-io.dat new file mode 100644 index 00000000000..a36e8419282 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/Pyramid-io.dat @@ -0,0 +1 @@ +0 4 -1 -1
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/Pyramid-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/Pyramid-sommets.dat new file mode 100644 index 00000000000..e2833cd2eb8 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/Pyramid-sommets.dat @@ -0,0 +1,5 @@ +0 -2 0 +-2 0 0 +0 4 0 +4 0 0 +0 0 5 diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/S2O3.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/S2O3.tex new file mode 100644 index 00000000000..059821cffed --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/S2O3.tex @@ -0,0 +1,65 @@ +\begin{center} +\begin{pspicture}(-4,-3)(4.5,5.5) +\psset{lightsrc=100 10 -20,lightintensity=3,viewpoint=200 30 +20 rtp2xyz,Decran=40,} +\psframe(-4,-3)(4.5,5.5) +{\psset{linewidth=0.5\pslinewidth} +\codejps{ +/Soufre1 {3.56 [20 16] newsphere + dup (Yellow) outputcolors} def +/Soufre2 {3.56 [20 16] newsphere + {0 0.000 20.10 translatepoint3d} solidtransform + dup (Yellow) outputcolors} def +% Liaison simple +/LiaisonR { + 7.5 0.5 15 [10 10] newcylindre + dup (Red) outputcolors + } def +/LiaisonY { + 0 0.5 7.5 [10 10] newcylindre + dup (Yellow) outputcolors + } def +% fin Liaison simple +/Liaison{LiaisonR LiaisonY solidfuz} def +/Ox {2.17 [20 16] newsphere + {0 0 15 translatepoint3d} solidtransform + dup (Red) outputcolors} def +/LO { Liaison Ox solidfuz} def +/LO1 { LO {0 -109.5 0 rotateOpoint3d} solidtransform } def +/LOx1 { LO1 {0 0 120 rotateOpoint3d} solidtransform } def +% fin liaison simple S-O +% Liaison double S=O +/LiaisonD1 {Liaison {-0.75 0 0 translatepoint3d} solidtransform} def +/LiaisonD2 {Liaison {0.75 0 0 translatepoint3d} solidtransform} def +/LiaisonDD { LiaisonD1 LiaisonD2 solidfuz} def +/LiaisonDOx {LiaisonDD Ox solidfuz} def +/LiaisonDOx1 {LiaisonDOx {0 -109.5 0 rotateOpoint3d} solidtransform } def +/LiaisonDOx2 {LiaisonDOx1 {0 0 -120 rotateOpoint3d} solidtransform } def +/LO12 { LiaisonDOx1 LiaisonDOx2 solidfuz} def +/LO123 {LO12 LOx1 solidfuz} def +% liaison simple S-S +/L4 { 0 0.5 20.10 [16 10] newcylindre + dup (Yellow) outputcolors + } def +/S1L4{ Soufre1 L4 solidfuz} def +/S1S2L4{ S1L4 Soufre2 solidfuz} def +/S2O3 { S1S2L4 LO123 solidfuz} def +S2O3 drawsolid**} +\axesIIID(0,0,0)(25,20,25)} +\psPoint(0,0,20.1){S2} +\psPoint(-14.14,0,-5){O1} +\psPoint(7.07,-12.24,-5 ){O2} +\psPoint(7.07,12.24,-5 ){O3} +\pcline[linestyle=dotted]{<->}(O2)(O) +\aput{:U}{15 pm} +\pcline[linestyle=dotted]{<->}(O)(S2) +\aput{:U}{\small 20,1 pm} +\pcline[linestyle=dotted]{<->}(O2)(O3) +\lput*{:U}{\small 24,5 pm} +\pcline[linestyle=dotted]{<->}(O2)(S2) +\lput*{:U}{\small 28,8 pm} +\pstMarkAngle[arrows=<->,MarkAngleRadius=0.8,linestyle=dotted]{O2}{O}{O3}{\footnotesize 109,4$^{\mathrm{o}}$} +\pstMarkAngle[arrows=<->,MarkAngleRadius=0.8,linestyle=dotted]{O1}{O}{S2}{\footnotesize 109,5$^{\mathrm{o}}$} +\rput(0,-2.5){$\mathrm{S_2^{\phantom{2}}O_3^{2-}}$} +\end{pspicture} +\end{center} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/V1-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/V1-couleurs.dat new file mode 100644 index 00000000000..601ca7194e8 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/V1-couleurs.dat @@ -0,0 +1,39 @@ +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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a/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubeHexagone-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubeHexagone-couleurs.dat new file mode 100644 index 00000000000..6338c59f8d0 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubeHexagone-couleurs.dat @@ -0,0 +1,7 @@ +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubeHexagone-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubeHexagone-faces.dat new file mode 100644 index 00000000000..b21b44fb7f6 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubeHexagone-faces.dat @@ -0,0 +1,7 @@ +[7 4 5 8 9 6 ] +[4 0 5 ] +[6 1 7 ] +[7 1 2 0 4 ] +[5 0 2 3 8 ] +[8 3 9 ] +[9 3 2 1 6 ] diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubeHexagone-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubeHexagone-io.dat new file mode 100644 index 00000000000..27f7ff02f2e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubeHexagone-io.dat @@ -0,0 +1 @@ +0 6 -1 -1
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubeHexagone-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubeHexagone-sommets.dat new file mode 100644 index 00000000000..857d598aa6c --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubeHexagone-sommets.dat @@ -0,0 +1,10 @@ +0.0 0.0 2.0 +0.0 2.0 0.0 +0.0 0.0 0.0 +2.0 0.0 0.0 +0.0 0.999913 2.0 +0.999913 0.0 2.0 +0.999913 2.0 0.0 +0.0 2.0 0.999913 +2.0 0.0 0.999913 +2.0 0.999913 0.0 diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubecolor-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubecolor-couleurs.dat new file mode 100644 index 00000000000..d4de66278c1 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubecolor-couleurs.dat @@ -0,0 +1,96 @@ +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubecolor-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubecolor-faces.dat new file mode 100644 index 00000000000..8f7f196800c --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubecolor-faces.dat @@ -0,0 +1,96 @@ +[0 1 6 5 ] +[1 2 7 6 ] +[2 3 8 7 ] +[3 4 9 8 ] +[5 6 11 10 ] +[6 7 12 11 ] +[7 8 13 12 ] +[8 9 14 13 ] +[10 11 16 15 ] +[11 12 17 16 ] +[12 13 18 17 ] +[13 14 19 18 ] +[15 16 21 20 ] +[16 17 22 21 ] +[17 18 23 22 ] +[18 19 24 23 ] +[20 21 26 25 ] +[21 22 27 26 ] +[22 23 28 27 ] +[23 24 29 28 ] +[25 26 31 30 ] +[26 27 32 31 ] +[27 28 33 32 ] +[28 29 34 33 ] +[30 31 36 35 ] +[31 32 37 36 ] +[32 33 38 37 ] +[33 34 39 38 ] +[35 36 41 40 ] +[36 37 42 41 ] +[37 38 43 42 ] +[38 39 44 43 ] +[40 41 46 45 ] +[41 42 47 46 ] +[42 43 48 47 ] +[43 44 49 48 ] +[45 46 51 50 ] +[46 47 52 51 ] +[47 48 53 52 ] +[48 49 54 53 ] +[50 51 56 55 ] +[51 52 57 56 ] +[52 53 58 57 ] +[53 54 59 58 ] +[55 56 61 60 ] +[56 57 62 61 ] +[57 58 63 62 ] +[58 59 64 63 ] +[60 61 66 65 ] +[61 62 67 66 ] +[62 63 68 67 ] +[63 64 69 68 ] +[65 66 71 70 ] +[66 67 72 71 ] +[67 68 73 72 ] +[68 69 74 73 ] +[70 71 76 75 ] +[71 72 77 76 ] +[72 73 78 77 ] +[73 74 79 78 ] +[75 76 1 0 ] +[76 77 2 1 ] +[77 78 3 2 ] +[78 79 4 3 ] +[9 4 79 86 ] +[14 9 86 87 ] +[19 14 87 88 ] +[24 19 88 29 ] +[86 79 74 83 ] +[83 74 69 80 ] +[88 87 84 85 ] +[87 86 83 84 ] +[85 84 81 82 ] +[84 83 80 81 ] +[29 88 85 34 ] +[34 85 82 39 ] +[80 69 64 59 ] +[81 80 59 54 ] +[82 81 54 49 ] +[39 82 49 44 ] +[0 5 95 75 ] +[15 20 25 97 ] +[91 35 40 45 ] +[65 89 55 60 ] +[5 10 96 95 ] +[10 15 97 96 ] +[89 90 50 55 ] +[90 91 45 50 ] +[97 25 30 94 ] +[94 30 35 91 ] +[75 95 92 70 ] +[70 92 89 65 ] +[92 93 90 89 ] +[93 94 91 90 ] +[95 96 93 92 ] +[96 97 94 93 ] diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubecolor-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubecolor-io.dat new file mode 100644 index 00000000000..37bf237daf3 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubecolor-io.dat @@ -0,0 +1 @@ +0 95 -1 -1
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubecolor-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubecolor-sommets.dat new file mode 100644 index 00000000000..594638cf953 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/cubecolor-sommets.dat @@ -0,0 +1,98 @@ +-0.125 -0.125 0.225 +-0.0625 -0.125 0.225 +0.0 -0.125 0.225 +0.0625 -0.125 0.225 +0.125 -0.125 0.225 +-0.125 -0.0625 0.225 +-0.0625 -0.0625 0.225 +0.0 -0.0625 0.225 +0.0625 -0.0625 0.225 +0.125 -0.0625 0.225 +-0.125 0.0 0.225 +-0.0625 0.0 0.225 +0.0 0.0 0.225 +0.0625 0.0 0.225 +0.125 0.0 0.225 +-0.125 0.0625 0.225 +-0.0625 0.0625 0.225 +0.0 0.0625 0.225 +0.0625 0.0625 0.225 +0.125 0.0625 0.225 +-0.125 0.125 0.225 +-0.0625 0.125 0.225 +0.0 0.125 0.225 +0.0625 0.125 0.225 +0.125 0.125 0.225 +-0.125 0.125 0.1625 +-0.0625 0.125 0.1625 +0.0 0.125 0.1625 +0.0625 0.125 0.1625 +0.125 0.125 0.1625 +-0.125 0.125 0.1 +-0.0625 0.125 0.1 +0.0 0.125 0.1 +0.0625 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295 319 ] +[ 295 318 319 ] +[ 298 301 318 ] +[ 298 299 301 ] +[ 403 404 381 ] +[ 384 404 405 ] +[ 384 405 379 ] +[ 405 407 379 ] +[ 379 407 380 ] +[ 381 402 394 ] +[ 380 407 408 ] +[ 295 298 318 ] +[ 298 297 299 ] +[ 404 384 381 ] +[ 250 256 257 ] +[ 61 62 66 ] diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/faces_nefer_levres.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/faces_nefer_levres.dat new file mode 100644 index 00000000000..19dec09e906 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/faces_nefer_levres.dat @@ -0,0 +1,60 @@ +[ 226 228 227 ] +[ 226 229 228 ] +[ 226 224 229 ] +[ 230 224 231 ] +[ 230 229 224 ] +[ 230 232 229 ] +[ 230 233 232 ] +[ 230 234 233 ] +[ 230 231 234 ] +[ 236 239 238 ] +[ 236 240 239 ] +[ 236 228 240 ] +[ 236 227 228 ] +[ 241 228 229 ] +[ 241 240 228 ] +[ 241 239 240 ] +[ 241 242 239 ] +[ 241 232 242 ] +[ 241 229 232 ] +[ 243 232 233 ] +[ 243 244 232 ] +[ 243 245 244 ] +[ 243 246 245 ] +[ 243 247 246 ] +[ 243 233 247 ] +[ 248 244 245 ] +[ 248 242 244 ] +[ 248 238 242 ] +[ 238 239 242 ] +[ 242 232 244 ] +[ 445 447 446 ] +[ 448 449 447 ] +[ 449 444 447 ] +[ 447 444 446 ] +[ 446 444 442 ] +[ 233 450 247 ] +[ 247 450 246 ] +[ 246 450 442 ] +[ 442 450 446 ] +[ 446 450 445 ] +[ 445 450 233 ] +[ 451 452 445 ] +[ 445 452 447 ] +[ 447 452 448 ] +[ 448 452 453 ] +[ 453 452 454 ] +[ 454 452 451 ] +[ 458 457 454 ] +[ 454 457 453 ] +[ 453 457 448 ] +[ 448 457 449 ] +[ 231 465 234 ] +[ 234 465 233 ] +[ 233 465 445 ] +[ 445 465 451 ] +[ 451 465 464 ] +[ 464 465 231 ] +[ 464 466 451 ] +[ 451 466 454 ] +[ 454 466 458 ] diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/faces_nefer_sourcils.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/faces_nefer_sourcils.dat new file mode 100644 index 00000000000..d462760f754 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/faces_nefer_sourcils.dat @@ -0,0 +1,22 @@ +[ 313 307 310 ] +[ 313 311 316 ] +[ 313 310 311 ] +[ 325 324 284 ] +[ 325 326 324 ] +[ 326 321 324 ] +[ 321 326 320 ] +[ 329 320 326 ] +[ 329 330 320 ] +[ 329 331 330 ] +[ 330 316 311 ] +[ 330 331 316 ] +[ 359 367 361 ] +[ 361 367 368 ] +[ 359 373 367 ] +[ 367 373 371 ] +[ 371 373 372 ] +[ 372 374 371 ] +[ 374 372 375 ] +[ 372 377 375 ] +[ 375 377 376 ] +[ 368 387 361 ] diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/faces_nefer_yeux.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/faces_nefer_yeux.dat new file mode 100644 index 00000000000..5f6f8809088 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/faces_nefer_yeux.dat @@ -0,0 +1,23 @@ +[ 317 319 318 ] +[ 317 312 319 ] +[ 317 318 322 ] +[ 323 318 301] +[ 323 322 318] +[ 290 319 312] +[ 379 380 369] +[ 383 382 384] +[ 384 382 381] +[ 384 385 383] +[ 369 385 379] +[ 379 385 384] +[ 290 291 319] +[ 291 294 319] +[ 294 295 319] +[ 295 318 319] +[ 298 301 318] +[ 384 404 405] +[ 384 405 379] +[ 405 407 379] +[ 379 407 380] +[ 295 298 318] +[ 404 384 381] diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/format-jpv.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/format-jpv.tex new file mode 100644 index 00000000000..6c1930dd53f --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/format-jpv.tex @@ -0,0 +1,1871 @@ +%% fichier 'font.tex' +\message{fonts,} + +\catcode `\@ = 11 +\def \ComputerModern {% + + \font \fourtybf = cmbx10 at 40pt + + \font \thirtybf = cmbx10 at 30pt + + \font \twentyfivebf = cmbx10 at 24.88pt + + \font \twentytt = cmtt10 at 20.74pt + \font \twentybf = cmbx10 at 20.74pt + \font \twentysl = cmsl10 at 20.74pt + + \font \fourteenbf = cmbx10 scaled 1440 + \font \fourteenrm = cmr10 scaled 1440 + \font \fourteensc = cmcsc10 at 14.40pt + \font \fourteensy = cmsy10 at 14.40pt + \font \fourteenmsam = msam10 at 14.40pt + \font \fourteenmsbm = msbm10 at 14.40pt + \font \fourteenmi = cmmi10 at 14.40pt + \font \fourteensl = cmsl10 at 14.40pt + \font \fourteenit = cmti10 at 14.40pt + \font \fourteentt = cmtt10 at 14.40pt + + \font \twelvemi = cmmi10 at 12pt + \font \twelvebf = cmbx12 + \font \twelveit = cmti12 + \font \twelverm = cmr12 + \font \twelvesl = cmsl12 + \font \twelvett = cmtt12 + \font \twelvesy = cmsy10 at 12pt + \font \twelvemsam = msam10 at 12pt + \font \twelvemsbm = msbm10 at 12pt + \font \twelvesc = cmcsc10 at 12pt + + \font \tenrm = cmr10 + \font \tensl = cmsl10 + \font \tenslbf = cmbxsl10 + \font \tenit = cmti10 + %% jp \font \tenli = cmli10 + \font \tenbf = cmbx10 + \font \tentt = cmtt10 + \font \tenmi = cmmi10 + \font \tenex = cmex10 + \font \tensy = cmsy10 + \font \tensc = cmcsc10 + \font \tenmsam = msam10 + \font \tenmsbm = msbm10 + \font \tenbfmi = cmmib10 + \font \tenssit = cmssi10 + \font \tenss = cmss10 + \font \tenwncyr = wncyr10 + + \font \ninerm = cmr9 + \font \ninemi = cmmi9 + \font \nineex = cmex9 + \font \ninesy = cmsy9 + \font \ninebf = cmbx9 + \font \nineit = cmti9 + \font \ninesl = cmsl9 + \font \ninett = cmtt9 + %% \font \nineli = cmli9 + \font \ninemsam = msam10 at 9pt + \font \ninemsbm = msbm10 at 9pt + \font \ninesc = cmcsc9 + + \font \eighttt = cmtt8 + \font \eightrm = cmr8 + \font \eightmi = cmmi8 + \font \eightsy = cmsy8 + \font \eightmsam = msam10 at 8pt + \font \eightmsbm = msbm10 at 8pt + \font \eightbf = cmbx8 + \font \eightex = cmex10 at 8pt + \font \eightit = cmti8 + \font \eightsl = cmsl8 + + \font \sevenrm = cmr7 + \font \sevenbf = cmbx7 + \font \sevenmi = cmmi7 + \font \sevenex = cmex7 + \font \sevensy = cmsy7 + \font \sevenmsam = msam10 at 7pt + \font \sevenmsbm = msbm10 at 7pt + + %%\font \truesevenmi = cmmi7 at 7truept + + \font \fiverm = cmr5 + \font \fivebf = cmbx5 + \font \fivemi = cmmi5 + \font \fivesy = cmsy5 + \font \fivemsam = msam10 at 5pt + \font \fivemsbm = msbm10 at 5pt + \font \fivesl = cmsl10 at 5pt + + %%\font \truefivemi = cmmi5 at 5truept +} + + +%%Attention : ne jamais recharger ce fichier, car cela redefinit les numeros des +%%familles suivantes, et le traitement des symboles de la famille \|\specialchar| +%%s'en ressent, car ces symboles sont designes comme faisant partie de la famille +%%8 (et non pas \|\specialchar|, qu'il n'est alors pas possible de designer +%%formellement, voir le fichier SYMBOL.TEX) + + %% jp \newfam \itfam % \it is family 4 + %% jp \newfam \slfam % \sl is family 5 + %% jp \newfam \bffam % \bf is family 6 + %% jp \newfam \ttfam % \tt is family 7 +\newfam \specialchar % Family for blackboard bold symbols (family 8) +\newfam \otherspecialchar % Family for others symbols (family 9) + +%%% la galere du jmath %%% +\newbox \jmathbox +\setbox \jmathbox \hbox {\bgroup \it j\egroup } +\newdimen \tmpdimen +\tmpdimen \ht \jmathbox +\advance \tmpdimen by -2.1pt +\ht \jmathbox \tmpdimen + +\def \putjmath {% + {\copy \jmathbox }} +%%%%%%%%%%%%%%%%%%%%%%%%% + + +\def \Times {% + + %%% la galere du jmath %%% + \let \jmath \putjmath + %%%%%%%%%%%%%%%%%%%%%%%%% + + \font \fourtybf = ptmb at 40pt + + \font \thirtybf = ptmb at 30pt + + \font \twentyfivebf = ptmb at 24.88pt + \font \twentymi = zptmcmrm at 24.88pt + + \font \twentytt = pcrb at 20.74pt + \font \twentybf = ptmb at 20.74pt + \font \twentysl = ptmro at 20.74pt + + \font \fourteenbf = ptmb scaled 1440 + \font \fourteenrm = ptmr scaled 1440 + %% \font \fourteensc = cmcsc10 at 14.40pt + \font \fourteensy = zpzccmry at 14.40pt + \font \fourteenmsam = msam10 at 14.40pt + \font \fourteenmsbm = msbm10 at 14.40pt + \font \fourteenmi = zptmcmrm at 14.40pt + \font \fourteensl = ptmro at 14.40pt + \font \fourteenit = ptmri at 14.40pt + \font \fourteentt = pcrb at 14.40pt + + \font \twelvemi = zptmcmrm at 12pt + \font \twelvebf = ptmb at 12pt + \font \twelveit = ptmri at 12pt + \font \twelverm = ptmr at 12pt + \font \twelvesl = ptmro at 12pt + \font \twelvett = pcrb at 12pt + \font \twelvesy = zpzccmry at 12pt + \font \twelvemsam = msam10 at 12pt + \font \twelvemsbm = msbm10 at 12pt + %% \font \twelvesc = cmcsc10 at 12pt + + \font \tenrm = ptmr + \font \tensl = ptmro + \font \tenslbf = cmbxsl10 + \font \tenit = ptmri + %% jp \font \tenli = cmli10 + \font \tenbf = ptmb + \font \tentt = pcrb +%% \font \tenmi = zptmcm7m at 10pt +%% \font \tenex = zpsycmrv at 10pt +%% \font \tensy = zptmcm7y at 10pt + \font \tenmi = zptmcmrm at 10pt + \font \tenex = zpsycmrv at 10pt + \font \tensy = zpzccmry at 10pt + \font \tensc = cmcsc10 + \font \tenmsam = msam10 + \font \tenmsbm = msbm10 + \font \tenbfmi = cmmib10 + \font \tenssit = cmssi10 + \font \tenss = cmss10 + \font \tenwncyr = wncyr10 + + \font \ninerm = ptmr at 9pt + \font \ninemi = zptmcmrm at 9pt + \font \nineex = zpsycmrv at 9pt + \font \ninesy = zpzccmry at 9pt + \font \ninebf = ptmb at 9pt + \font \nineit = ptmri at 9pt + \font \ninesl = ptmro at 9pt + \font \ninett = pcrb at 9pt + %% \font \nineli = cmli9 + \font \ninemsam = msam10 at 9pt + \font \ninemsbm = msbm10 at 9pt + \font \ninesc = cmcsc9 + + \font \eighttt = pcrb at 8pt + \font \eightrm = ptmr at 8pt + \font \eightmi = zptmcmrm at 8pt + \font \eightsy = zpzccmry at 8pt + \font \eightmsam = msam10 at 8pt + \font \eightmsbm = msbm10 at 8pt + \font \eightbf = cmbx8 + \font \eightex = zpsycmrv at 8pt + \font \eightit = ptmri at 8pt + \font \eightsl = ptmro at 8pt + + \font \sevenrm = ptmr at 7pt + \font \sevenbf = ptmb at 7pt + \font \sevenmi = zptmcmrm at 7pt + \font \sevenex = zpsycmrv at 7pt + \font \sevensy = zpzccmry at 7pt + \font \sevenmsam = msam10 at 7pt + \font \sevenmsbm = msbm10 at 7pt + + %%\font \truesevenmi = cmmi7 at 7truept + + \font \fiverm = ptmr at 5pt + \font \fivebf = ptmb at 5pt + \font \fivemi = zptmcmrm at 5pt + \font \fivesy = zpzccmry at 5pt + \font \fivemsam = msam10 at 5pt + \font \fivemsbm = msbm10 at 5pt + \font \fivesl = cmsl10 at 5pt +} + +\def \Palatino {% + + %%% la galere du jmath %%% + \let \jmath \putjmath + %%%%%%%%%%%%%%%%%%%%%%%%% + + \font \fourtybf = pplb at 40pt + + \font \thirtybf = pplb at 30pt + + \font \twentyfivebf = pplb at 24.88pt + + \font \twentytt = pcrb at 20.74pt + \font \twentybf = pplb at 20.74pt + \font \twentysl = pplro at 20.74pt + + \font \fourteenbf = pplb scaled 1440 + \font \fourteenrm = pplr scaled 1440 + %% \font \fourteensc = cmcsc10 at 14.40pt + \font \fourteensy = zpzccmry at 14.40pt + \font \fourteenmsam = msam10 at 14.40pt + \font \fourteenmsbm = msbm10 at 14.40pt + \font \fourteenmi = zptmcmrm at 14.40pt + \font \fourteensl = pplro at 14.40pt + \font \fourteenit = pplri at 14.40pt + \font \fourteentt = pcrb at 14.40pt + + \font \twelvemi = zptmcmrm at 12pt + \font \twelvebf = pplb at 12pt + \font \twelveit = pplri at 12pt + \font \twelverm = pplr at 12pt + \font \twelvesl = pplro at 12pt + \font \twelvett = pcrb at 12pt + \font \twelvesy = zpzccmry at 12pt + \font \twelvemsam = msam10 at 12pt + \font \twelvemsbm = msbm10 at 12pt + %% \font \twelvesc = cmcsc10 at 12pt + + \font \tenrm = pplr + \font \tensl = pplro + \font \tenslbf = cmbxsl10 + \font \tenit = pplri + %% jp \font \tenli = cmli10 + \font \tenbf = pplb + \font \tentt = pcrb + \font \tenmi = zptmcmrm at 10pt + \font \tenex = zpsycmrv at 10pt + \font \tensy = zpzccmry at 10pt + \font \tensc = cmcsc10 + \font \tenmsam = msam10 + \font \tenmsbm = msbm10 + \font \tenbfmi = cmmib10 + \font \tenssit = cmssi10 + \font \tenss = cmss10 + \font \tenwncyr = wncyr10 + + \font \ninerm = pplr at 9pt + \font \ninemi = zptmcmrm at 9pt + \font \nineex = zpsycmrv at 9pt + \font \ninesy = zpzccmry at 9pt + \font \ninebf = pplb at 9pt + \font \nineit = pplri at 9pt + \font \ninesl = pplro at 9pt + \font \ninett = pcrb at 9pt + %% \font \nineli = cmli9 + \font \ninemsam = msam10 at 9pt + \font \ninemsbm = msbm10 at 9pt + \font \ninesc = cmcsc9 + + \font \eighttt = pcrb at 8pt + \font \eightrm = pplr at 8pt + \font \eightmi = zptmcmrm at 8pt + \font \eightsy = zpzccmry at 8pt + \font \eightmsam = msam10 at 8pt + \font \eightmsbm = msbm10 at 8pt + \font \eightbf = cmbx8 + \font \eightex = zpsycmrv at 8pt + \font \eightit = pplri at 8pt + \font \eightsl = pplro at 8pt + + \font \sevenrm = pplr at 7pt + \font \sevenbf = pplb at 7pt + \font \sevenmi = zptmcmrm at 7pt + \font \sevenex = zpsycmrv at 7pt + \font \sevensy = zpzccmry at 7pt + \font \sevenmsam = msam10 at 7pt + \font \sevenmsbm = msbm10 at 7pt + + %%\font \truesevenmi = cmmi7 at 7truept + + \font \fiverm = pplr at 5pt + \font \fivebf = pplb at 5pt + \font \fivemi = pplri at 5pt + \font \fivesy = zpzccmry at 5pt + \font \fivemsam = msam10 at 5pt + \font \fivemsbm = msbm10 at 5pt + \font \fivesl = cmsl10 at 5pt +} + +%% fichier 'symbol.tex' +%%Les definitions suivantes permettent de gerer les symboles speciaux, par +%%famille. Le premier chiffre hexadecimal designe la classe du symbole, ici +%%ordinaire, le second la famille (designee en absolu), ici 8, les +%%deux derniers la position du caractere dans la fonte. + +\mathchardef \aset = "0841 +\mathchardef \bset = "0842 +\mathchardef \cset = "0843 +\mathchardef \dset = "0844 +\mathchardef \eset = "0845 +\mathchardef \fset = "0846 +\mathchardef \gset = "0847 +\mathchardef \hset = "0848 +\mathchardef \iset = "0849 +\mathchardef \jset = "084A +\mathchardef \kset = "084B +\mathchardef \lset = "084C +\mathchardef \mset = "084D +\mathchardef \nset = "084E +\mathchardef \oset = "084F +\mathchardef \pset = "0850 +\mathchardef \qset = "0851 +\mathchardef \rset = "0852 +\mathchardef \sset = "0853 +\mathchardef \tset = "0854 +\mathchardef \uset = "0855 +\mathchardef \vset = "0856 +\mathchardef \wset = "0857 +\mathchardef \xset = "0858 +\mathchardef \yset = "0859 +\mathchardef \zset = "085A + +\mathchardef \subsetneq = "3820 %% symbole d'inclusion stricte + +\def\zseti {\zset [i]} +\def\qseti {\qset [i]} + +% ========= quelques operateurs mathematiques =========== +\def \pgcd {\mathop {\rm pgcd}} +\def \arctan {\mathop {\rm Arctan}} +\def \cotan {\mathop {\rm cotan}} +\def \ch {\mathop {\rm ch} \nolimits } +\def \sh {\mathop {\rm sh} \nolimits } +\def \th {\mathop {\rm th} \nolimits } +\def \argch {\mathop {\rm Argch} \nolimits } +\def \argsh {\mathop {\rm Argsh} \nolimits } +\def \argth {\mathop {\rm Argth} \nolimits } +\def \arcsin {\mathop {\rm Arcsin}} +\def \arccos {\mathop {\rm Arccos}} +\def \arg {\mathop {\rm Arg}} +\def \Id {\mathop {\rm Id}} +\def \id {\mathop {\rm Id}} +\def \im {\mathop {\rm Im}} +\def \tr {\mathop {\rm Tr} \nolimits } +\def \card {\mathop {\rm Card} \nolimits } +\def \true {\mathop {\rm true} \nolimits } +\def \false {\mathop {\rm false} \nolimits } +\def \signe {\mathop {\rm signe}} +\def \cov {\mathop {\rm cov}} +\def \mod {\mathop {\rm mod}} +% =========== les dimensions ==================== +\def \rd {\mathop {\rm rd} \nolimits } +\def \mm {\mathop {\rm mm} \nolimits } +\def \cm {\mathop {\rm cm} \nolimits } +\def \dm {\mathop {\rm dm} \nolimits } +\def \km {\mathop {\rm km} \nolimits } +\def \m {\mathop {\rm m} \nolimits } +\def \h {\mathop {\rm h} \nolimits } +\def \mn {\mathop {\rm mn} \nolimits } +\def \s {\mathop {\rm s} \nolimits } +\def \ms {\mathop {\rm ms} \nolimits } +\def \g {\mathop {\rm g} \nolimits } +\def \kg {\mathop {\rm kg} \nolimits } +\def \N {\mathop {\rm N} \nolimits } +\def \l {\mathop {\rm l} \nolimits } +\def \daN {\mathop {\rm danN} \nolimits } +\def \Hz {\mathop {\rm Hz} \nolimits } + +\def \rem {\mathop {\rm rem} \nolimits } +\def \mGy {\mathop {\rm mGy} \nolimits } +\def \mSv {\mathop {\rm mSv} \nolimits } +\def \mR {\mathop {\rm mR} \nolimits } +\def \Ci {\mathop {\rm Ci} \nolimits } +\def \Bq {\mathop {\rm Bq} \nolimits } + +\def \Me {\mathop {\rm Me} \nolimits } +% ========= caracteres speciaux ==================== +\def \bull{% le carre noir + \vrule height .9ex width .8ex depth -.1ex} +%% la macro suivante pose un probleme~: les guillemets sont +%% toujours en 10 pts !!! +\long \def \og#1\fg{% les guillemets francais + \bgroup + {\tenwncyr \char 60}~% + \ignorespaces + #1\unskip + ~{\tenwncyr \char 62}% + \egroup } +%% on redefinit les signes de comparaisons >= et <= pour avoir les +%% symboles francais +\mathchardef\leq="3936 % code hexadecimal 36 de la famille 9, type relation (3) +\mathchardef\geq="393E + + +%%\def \brem {\mskip -\medmuskip\mkern5mu +%% \mathbin{\rm rem} \penalty900 \mkern5mu \mskip -\medmuskip} +%% +%%\def \bmodulo {\mskip -\medmuskip\mkern5mu +%% \mathbin{\bf mod} \penalty900 \mkern5mu \mskip -\medmuskip} + + +\def\MyCancel#1#2{\ooalign{$\hfil#1\mkern-3.5mu\hbox{\it/}\hfil$\crcr$#1#2$}} +\def\notmid{\mathrel{\mathpalette\MyCancel\mid}} + +%% fichier 'style.tex' +\catcode `\@ = 11 + +\def \eightpoint + {\textfont \z@ \eightrm \def \rm {\fam \z@ \eightrm }% + \baselineskip 9pt \lineskip 0.833pt \lineskiplimit 0pt + \textfont \@ne \eightmi \scriptfont \@ne \fivemi %% modif jp \sevenmi + \scriptscriptfont \@ne \fivemi \def \mit {\fam \@ne }% + \textfont \tw@ \eightsy + \textfont3 \eightex + \textfont \specialchar \eightmsbm + \textfont \otherspecialchar \eightmsam + \textfont \bffam \eightbf \def \bf {\fam \bffam \eightbf }% + \textfont \itfam \eightit \def \it {\fam \itfam \eightit }% + \textfont \ttfam \eighttt \def \tt {\fam \ttfam \eighttt }% + \textfont \slfam \eightsl \def \sl {\fam \slfam \eightsl }% + \setbox \strutbox \hbox {\vrule height 7pt depth 2pt width 0pt}% + } + +\def \ninepoint + {\textfont \z@ \ninerm \scriptfont \z@ \sevenrm + \scriptscriptfont \z@ \fiverm \def \rm {\fam \z@ \ninerm }% + \textfont \@ne \ninemi \scriptfont \@ne \sevenmi + \scriptscriptfont \@ne \fivemi \def \mit {\fam \@ne }% + \def \oldstyle {\fam \@ne \ninemi }% + \textfont \tw@ \ninesy \scriptfont \tw@ \sevensy + \scriptscriptfont \tw@ \fivesy \def \cal {\fam \tw@ }% + \textfont3 \nineex \scriptfont3 \sevenex + \scriptscriptfont3 \sevenex + \textfont \bffam \ninebf \scriptfont \bffam \sevenbf + \scriptscriptfont \bffam \fivebf \def \bf {\fam \bffam \ninebf }% + \textfont \itfam \nineit \def \it {\fam \itfam \nineit }% + \textfont \slfam \ninesl \def \sl {\fam \slfam \ninesl }% + \textfont \ttfam \ninett \def \tt {\fam \ttfam \ninett }% + \let \sc \ninesc + \textfont \specialchar \ninemsbm \scriptfont \specialchar \sevenmsbm + \textfont \otherspecialchar \ninemsam + \scriptfont \otherspecialchar \sevenmsam + \normalbaselineskip 10pt + \abovedisplayskip 6pt plus 1pt minus 6pt + \abovedisplayshortskip 0pt plus 2pt + \belowdisplayskip 6pt plus 1pt minus 6pt + \belowdisplayshortskip 4pt plus 1pt minus 3pt + \setbox \strutbox \hbox {\vrule height 8pt depth 2pt width 0pt}% + \normalbaselines + } + +\def \tenpoint + {\textfont \z@ \tenrm \scriptfont \z@ \sevenrm + \scriptscriptfont \z@ \fiverm \def \rm {\fam \z@ \tenrm }% + \textfont \@ne \tenmi \scriptfont \@ne \sevenmi + \scriptscriptfont \@ne \fivemi \def \mit {\fam \@ne }% + \def \oldstyle {\fam \@ne \tenmi }% + \textfont \tw@ \tensy \scriptfont \tw@ \sevensy + \scriptscriptfont \tw@ \fivesy \def \cal {\fam \tw@ }% + \textfont3 \tenex \scriptfont3 \sevenex + \scriptscriptfont3 \sevenex + \textfont \bffam \tenbf \scriptfont \bffam \sevenbf + \scriptscriptfont \bffam \fivebf \def \bf {\fam \bffam \tenbf }% + \textfont \itfam \tenit \def \it {\fam \itfam \tenit }% + \textfont \slfam \tensl \def \sl {\fam \slfam \tensl }% + \textfont \ttfam \tentt \def \tt {\fam \ttfam \tentt }% + \let \sc \tensc + \textfont \specialchar \tenmsbm + \scriptfont \specialchar \sevenmsbm + \textfont \otherspecialchar \tenmsam + \scriptfont \otherspecialchar \sevenmsam + \scriptscriptfont \otherspecialchar \fivemsam + \abovedisplayskip 9pt plus 2pt minus 6pt + \abovedisplayshortskip 0pt plus 2pt + \belowdisplayskip 9pt plus 2pt minus 6pt + \belowdisplayshortskip 5pt plus 2pt minus 3pt +%% \baselineskip 11pt \lineskip 1pt + \baselineskip 12pt \lineskip 1pt + \lineskiplimit 0pt %% change le 20-07-91 + \setbox \strutbox \hbox {\vrule height 8.5pt depth 3.5pt width 0pt}% + } + +\def \twelvepoint + {\textfont \z@ \twelverm \scriptfont \z@ \tenrm + \scriptscriptfont \z@ \sevenrm \def \rm {\fam \z@ \twelverm }% + \textfont \@ne \twelvemi \scriptfont \@ne \tenmi + \scriptscriptfont \@ne \sevenmi \def \mit {\fam \@ne }% + \textfont \tw@ \twelvesy + \textfont \specialchar \twelvemsbm + \textfont \otherspecialchar \twelvemsam + \textfont \bffam \twelvebf \scriptfont \bffam \tenbf + \scriptscriptfont \bffam \sevenbf \def \bf {\fam \bffam \twelvebf }% + \textfont \ttfam \twelvett \def \tt {\fam \ttfam \twelvett }% + \let \sc \twelvesc + \def \it {\twelveit }\def \sl {\twelvesl }\def \tt {\twelvett }% + \baselineskip 14pt \lineskiplimit 2pt \lineskip 2pt + } + +\def \fourteenpoint + {\textfont \z@ \fourteenrm \scriptfont \z@ \twelverm + \scriptscriptfont \z@ \tenrm \def \rm {\fam \z@ \fourteenrm }% + \textfont \@ne \fourteenmi \scriptfont \@ne \twelvemi + \scriptscriptfont \@ne \ninemi \def \mit {\fam \@ne }% + \textfont \tw@ \fourteensy + \textfont \specialchar \fourteenmsbm + \textfont \otherspecialchar \fourteenmsam + \textfont \bffam \fourteenbf \scriptfont \bffam \twelvebf + \scriptscriptfont \bffam \tenbf \def \bf {\fam \bffam \fourteenbf }% + \def \it {\fourteenit }\def \sl {\fourteensl }\def \tt {\fourteentt }% + } + +\let \footnotestyle = \eightpoint + %% jp \let \remarkstyle = \ninepoint + %% jp \let \headlinestyle = \ninepoint + +\catcode `\@ = 12 +%% fichier 'newplain.tex' +% redef de certaines macros du format plain.tex + +\catcode`\@=11 + +\def\footnote#1{\let\@sf\empty % parameter #2 (the text) is read later + \ifhmode\edef\@sf{\spacefactor\the\spacefactor}\/\fi + #1\@sf\vfootnote{#1}} +\def\vfootnote#1{\insert\footins\bgroup + \interlinepenalty\interfootnotelinepenalty + \splittopskip\ht\strutbox % top baseline for broken footnotes + \splitmaxdepth\dp\strutbox \floatingpenalty\@MM + \leftskip\z@skip \rightskip\z@skip \spaceskip\z@skip \xspaceskip\z@skip + \textindent{#1}\footstrut\futurelet\next\fo@t} +\def\fo@t{\ifcat\bgroup\noexpand\next \let\next\f@@t + \else\let\next\f@t\fi \next} +\def\f@@t{\bgroup\aftergroup\@foot\let\next} +\def\f@t#1{#1\@foot} +\def\@foot{\strut\egroup} +\def\footstrut{\vbox to\splittopskip{}} +\skip\footins=\bigskipamount % space added when footnote is present +\count\footins=1000 % footnote magnification factor (1 to 1) +\dimen\footins=8in % maximum footnotes per page + + + +% redefinition de la macro \footnote (TeXbook p 416) +\def \footnote#1{% + \edef \@sf{% + \spacefactor \the \spacefactor}% + #1\@sf + \insert \footins \bgroup + \eightpoint \rm + \interlinepenalty = 100 + \let \par = \endgraf + \leftskip = 0pt + \rightskip = 0pt + \splittopskip = 10pt plus 1pt minus 1pt + \floatingpenalty = 20000 +% \smallskip + \item{#1} + \bgroup + \strut + \aftergroup \@foot + \let \next} % elimine l'accolade ouvrante qui suit +\skip \footins = 12pt plus 2pt minus 4pt % space addes when footnote exists +\dimen \footins = 30pc % maximum footnote per page + +% =================== redef de \do ================================== + +\def\dospecials{\do\ \do\\\do\{\do\}\do\$\do\&% + \do\#\do\^\do\^^K\do\_\do\^^A\do\%\do\~\do\|} + +% =================== redef de \item ================================= + +\newskip \itemindent \itemindent = \parindent + +\parindent = 0pt + +\def\hang{\hangindent\itemindent} +\def\textindent#1{\hskip\itemindent\llap{#1\enspace}\ignorespaces} +\def\item{\par\hang\textindent} +\def\itemitem{\par\hskip\itemindent \hangindent2\itemindent \textindent} +\def\narrower{\advance\leftskip\itemindent + \advance\rightskip\itemindent} + +\catcode`\@=12 +%% fichier 'fr-kbd.tex' +% ======== adaptation au clavier accentue ================ +\catcode `\é = \active \def é{\ifmmode \acute e\else \' e\fi } +\catcode `\è = \active \def è{\ifmmode \grave e\else \` e\fi } +\catcode `\à = \active \def à{\ifmmode \grave a\else \` a\fi } +\catcode `\ù = \active \def ù{\ifmmode \grave u\else \` u\fi } +\catcode `\ç = \active \def ç{\c c} +\catcode `\â = \active \def â{\^ a} +\catcode `\ê = \active \def ê{\^ e} +\catcode `\î = \active \def î{\^ \i } +\catcode `\ô = \active \def ô{\^ o} +\catcode `\û = \active \def û{\^ u} +\catcode `\ä = \active \def ä{\" a} +\catcode `\ë = \active \def ë{\" e} +\catcode `\ï = \active \def ï{\" \i } +\catcode `\ö = \active \def ö{\" o} +\catcode `\ü = \active \def ü{\" u} +\catcode `\° = \active \def °{^\circ } +%% fichier 'sections.tex' +%% Ce fichier contient toutes les macros concernant les sections +%% et leur mise en page + +\catcode`\@ = 11 + +% =============================== les parties ================================= + +\newskip \partieskip \partieskip = 5pt plus 2pt minus 1pt +\newskip \partieskipafter \partieskipafter = 1pt plus 3pt +\newskip \paragrapheskip \paragrapheskip = 5pt plus 2pt minus 1pt +\newskip \paragrapheskipafter \paragrapheskipafter = 1pt plus 3pt + +%% encadre dans la marge, en gras +\def \llappartie#1{% + \par \noindent + \setbox0 = \hbox {\boxit {2pt}{\hbox {\bf \tvi height8pt depth0pt #1}}}% + \llap {\unhbox0\ }% + \ignorespaces + \initexo } + +%% centre sur la ligne, en gras +\def \simplecenterpartie#1{% + \vskip \partieskip + \centerline {% + \twelvepoint + \bf + #1 + \unhbox \baremebox } + \vskip \partieskipafter + \initexo } + +%% idem, + elabore +\def \centerpartie#1{% + \par +% \vskip 0pt plus 0,3\vsize + \penalty -50 +% \vskip 0pt plus -0,3\vsize +% \bigbreak + \vskip \partieskip + \centerline{% + \twelvepoint + \bf + -- Partie #1 -- +% \unhbox \baremebox +} + \penalty 10000 + \vskip \partieskipafter + \initexo } + +%% idem, avec 2 arguments +\def \doublecenterpartie#1#2{% + \par +% \vskip 0pt plus 0,3\vsize + \penalty -50 +% \vskip 0pt plus -0,3\vsize +% \bigbreak + \vskip \partieskip + \centerline{% + \twelvepoint + \bf + -- Partie #1 -- + \unhbox \baremebox + {\sl #2}} + \penalty 10000 + \vskip \partieskipafter + \initexo } + +%% discret +\def \discretpartie#1{% + \initexo + \par + {\bf #1.}} + +%% la partie par defaut +\let \partie \discretpartie + +% ============================================================================= + +% =============================== les titres ================================== + +%% aussi bizarre que cela puisse paraitre, je laisse la macro '\duree' +%% associee au titre +\newbox \dureebox +\def \cleardureebox {% + \setbox \dureebox = \box \dureebox } +\cleardureebox +\def \clearduree {% + \setbox 100 \hbox {\unhbox \dureebox }} + +\def \duree#1{% + \setbox \dureebox \hbox {\sevenrm \underbar {durée}~: #1}} + +\newskip \titreskip \titreskip = 10pt plus 10pt minus 10pt +\newskip \titreskipafter \titreskipafter = 10pt plus 10pt minus 10pt +\newskip \stitreskip \stitreskip = 5pt plus 5pt minus 5pt +\newskip \stitreskipafter \stitreskipafter = 5pt plus 5pt minus 5pt +\newtoks \titrestyle \titrestyle = {\fourteenpoint \bf } + +\def \titre#1{% + \par + \ifb@@kstyle + \vskip \bookstyleskip + \penalty -500 + \vskip -\bookstyleskip + \fi + \bgroup % pour limiter la portee de la def de \\ + \def \\{% % commande qui est utilisee pour passer a la ligne dans un titre + \hss + \egroup % ferme la \hbox to \hsize en cours + \hbox to \hsize \bgroup % et rouvre la suivante + \the \titrestyle + \hss} + \vskip 0pt plus 0,3\vsize + \penalty -250 + \vskip 0pt plus -0,3\vsize + \vskip \titreskip + \hbox to \hsize \bgroup \hss \the \titrestyle #1 \hss \egroup + \egroup + \par + \writetocentry {chapter}{#1} + \nobreak + \ifvoid \dureebox + \else \line{\hfill \unhcopy \dureebox } + \fi + \vskip \titreskipafter + \nobreak } + +\def \titredate#1{% + \par + \ifb@@kstyle + \vskip \bookstyleskip + \penalty -500 + \vskip -\bookstyleskip + \fi + \bgroup % pour limiter la portee de la def de \\ + \def \\{% % commande qui est utilisee pour passer a la ligne dans un titre + \hss + \egroup % ferme la \hbox to \hsize en cours + \hbox to \hsize \bgroup % et rouvre la suivante + \the \titrestyle + \hss} + \vskip 0pt plus 0,3\vsize + \penalty -250 + \vskip 0pt plus -0,3\vsize + \vskip \titreskip + \llap {\box \datebox} + \hbox to \hsize \bgroup \hss \the \titrestyle #1 \hss \egroup + \egroup + \par + \writetocentry {chapter}{#1} + \nobreak + \ifvoid \dureebox + \else \line{\hfill \unhcopy \dureebox } + \fi + \vskip \titreskipafter + \nobreak } + +\def \stitre#1{% + \vskip \stitreskip + \centerline {\stitrestyle {#1}} + \vskip \stitreskipafter }% + +% ============================================================================= + +% ========================== macros de numerotation =========================== + +%%%%% les variables et leurs initialisations %%%%% + +\newcount \numno +\def \clearnumno{% + \global\numno = 0} +\clearnumno + +\newcount \alphno +\def \clearalphno{% + \global\alphno = `\a + \global\advance \alphno by -1} +\clearalphno + +\newskip \itemnumskip \itemnumskip = 0pt +\newskip \itemalphskip \itemalphskip = 0pt +\newskip \itemalphnumskip \itemalphnumskip = 0pt + +%%%%% reglage du style d'affichage %%%%% + +\def \numstyle#1{% + {\bf #1.}} +\def \alphstyle#1{% + {\sl \char #1\/})} + +%%%%% les macros de numerotation %%%%% +%% \def \initalphnum {% +%% } +\def \initalph {% + } +\def \initnum {% + \clearalphno } + +\def \num {% + \initnum + \global \advance \numno by 1 + \numstyle {\the \numno }}% + %% \alph est en prévision du remaniement, ce n'est qu'une + %% copie de \alphnum, mais elle permet de commencer à + %% essayer de coder de facon plus cohérente ... + %% jp 31-05-96 +\def \alph {% + \initalph + \global \advance \alphno by 1 + \alphstyle {\alphno }} +\def \alphnum {% + \num \ + \alph } +\def \itemnum {% + \vskip \itemnumskip + \item {\num }} +\def \itemitemnum {% + \vskip \itemnumskip + \itemitem {\num }} +\def \itemalph {% + \vskip \itemalphskip + \item {\alph }} +\def \itemitemalph {% + \vskip \itemalphskip + \itemitem {\alph }} +\def \itemalphnum {% + \vskip \itemnumskip + \item {\num } \alph \ } +\def \itemitemalphnum {% + \vskip \itemnumskip + \itemitem {\num \quad \hskip .1 em \alph }} +% ============================================================================= + + +% =============================== les exercices =============================== +% +% ========= macros de section ============== +% ========================= les exemples ====================================== + +\newcount \exempleno +\def \clearexempleno{% + \global\exempleno = 0} +\clearexempleno + +\def \exemple#1{% + \medbreak + \advance \exempleno by 1 + \noindent + {\bf Exemple ({\oldstyle \the \exempleno }) . \sl #1} + \par + \nobreak + \smallskip + \begingroup + \parskip = 4 pt } + +\def \finexemple {% + \removelastskip + \par + \removelastskip + \hfill + \bull + \endgroup + \smallbreak } + +% ============================================================================= + +% ============================ le bookstyle =================================== +% +\newif \ifb@@kstyle % flag indiquant si on accepte les paragraphes + % en bas de page +\b@@kstylefalse % oui par defaut +\newskip \bookstyleskip % le mini de bas de page autorise pour un + % paragraphe +\bookstyleskip = 0.3\vsize +\def \bookstyle {% + \footline = {\hss \tenrm \folio \hss } + \b@@kstyletrue } +\def \bookstylefalse {% + \b@@kstylefalse } +\def \onepagestyle {\b@@kstylefalse } + +% ============================================================================= + +% ============================== les paragraphes ============================== + +%%%%% les variables et leurs initialisations %%%%% + +\newcount \parno +\def \clearparno {% + \clearsparno + \parno = 0} + +\newcount \sparno +\def \clearsparno {% + \clearssparno + \sparno = 0} + +\newcount \ssparno +\def \clearssparno{% + \ssparno = 0} + +%%%%% reglage du style d'affichage %%%%% + +\def \paragraphestyle#1#2{% + \noindent + {\fourteenpoint + \bf #1. + #2}}% +\def \sparagraphestyle#1#2#3{% + \noindent + {\twelvepoint + \bf #1.#2 - + #3}}% +\def \ssparagraphestyle#1#2#3#4{% + \noindent + {\bf #1.#2.#3 - + #4}}% + +%%%%% les macro de paragraphe %%%%% + +\def \paragraphe#1{% + \par + \ifb@@kstyle + \vskip \bookstyleskip + \penalty -500 + \vskip -\bookstyleskip + \fi + \penalty -50 + \vskip \paragrapheskip + \clearsparno + \advance \parno by 1 + \paragraphestyle {\the \parno }{#1} + \par + \writetocentry {paragraf}{#1} + \nobreak + \vskip \paragrapheskipafter } + +\def \finparagraphe{% + }% + +\def \sparagraphe#1{% + \par + \penalty -50 + \medskip + \clearssparno + \advance \sparno by 1 + \noindent + \sparagraphestyle {\the \parno }{\the \sparno }{#1} + \par + \writetocentry {sparagraf}{#1} + \nobreak + \medskip } +\def \finsparagraphe {% + }% +\def \ssparagraphe#1{% + \par + \penalty -50 + \smallskip + \advance \ssparno by 1 + \noindent + \ssparagraphestyle {\the \parno }{\the \sparno }{\the \ssparno }{#1} + \par + \writetocentry {ssparagraf}{#1} + \nobreak + \medskip } +\def \ssfinparagraphe {% + }% + +% ============================== les remarques ================================ + +\def \remarque {% + \medskip + \item {} + \begingroup + \narrower + \narrower + \eightpoint \rm + {\bf Remarque} + -- } +\def \finremarque {% + \par + \endgroup + \medskip } + +\catcode`\@ = 12 + +% EPSF.TEX macro file: +% Written by Tomas Rokicki of Radical Eye Software, 29 Mar 1989. +% Revised by Don Knuth, 3 Jan 1990. +% Revised by Tomas Rokicki to accept bounding boxes with no +% space after the colon, 18 Jul 1990. +% +% TeX macros to include an Encapsulated PostScript graphic. +% Works by finding the bounding box comment, +% calculating the correct scale values, and inserting a vbox +% of the appropriate size at the current position in the TeX document. +% +% To use with the center environment of LaTeX, preface the \epsffile +% call with a \leavevmode. (LaTeX should probably supply this itself +% for the center environment.) +% +% To use, simply say +% \input epsf % somewhere early on in your TeX file +% \epsfbox{filename.ps} % where you want to insert a vbox for a figure +% +% Alternatively, you can type +% +% \epsfbox[0 0 30 50]{filename.ps} % to supply your own BB +% +% which will not read in the file, and will instead use the bounding +% box you specify. +% +% The effect will be to typeset the figure as a TeX box, at the +% point of your \epsfbox command. By default, the graphic will have its +% `natural' width (namely the width of its bounding box, as described +% in filename.ps). The TeX box will have depth zero. +% +% You can enlarge or reduce the figure by saying +% \epsfxsize=<dimen> \epsfbox{filename.ps} +% (or +% \epsfysize=<dimen> \epsfbox{filename.ps}) +% instead. Then the width of the TeX box will be \epsfxsize and its +% height will be scaled proportionately (or the height will be +% \epsfysize and its width will be scaled proportiontally). The +% width (and height) is restored to zero after each use. +% +% A more general facility for sizing is available by defining the +% \epsfsize macro. Normally you can redefine this macro +% to do almost anything. The first parameter is the natural x size of +% the PostScript graphic, the second parameter is the natural y size +% of the PostScript graphic. It must return the xsize to use, or 0 if +% natural scaling is to be used. Common uses include: +% +% \epsfxsize % just leave the old value alone +% 0pt % use the natural sizes +% #1 % use the natural sizes +% \hsize % scale to full width +% 0.5#1 % scale to 50% of natural size +% \ifnum#1>\hsize\hsize\else#1\fi % smaller of natural, hsize +% +% If you want TeX to report the size of the figure (as a message +% on your terminal when it processes each figure), say `\epsfverbosetrue'. +% +\newread\epsffilein % file to \read +\newif\ifepsffileok % continue looking for the bounding box? +\newif\ifepsfbbfound % success? +\newif\ifepsfverbose % report what you're making? +\newif\ifepsfdraft % use draft mode? +\newdimen\epsfxsize % horizontal size after scaling +\newdimen\epsfysize % vertical size after scaling +\newdimen\epsftsize % horizontal size before scaling +\newdimen\epsfrsize % vertical size before scaling +\newdimen\epsftmp % register for arithmetic manipulation +\newdimen\pspoints % conversion factor +% +\pspoints=1bp % Adobe points are `big' +\epsfxsize=0pt % Default value, means `use natural size' +\epsfysize=0pt % ditto +% +\def\epsfbox#1{\global\def\epsfllx{72}\global\def\epsflly{72}% + \global\def\epsfurx{540}\global\def\epsfury{720}% + \def\lbracket{[}\def\testit{#1}\ifx\testit\lbracket + \let\next=\epsfgetlitbb\else\let\next=\epsfnormal\fi\next{#1}}% +% +\def\epsfgetlitbb#1#2 #3 #4 #5]#6{\epsfgrab #2 #3 #4 #5 .\\% + \epsfsetgraph{#6}}% +% +\def\epsfnormal#1{\epsfgetbb{#1}\epsfsetgraph{#1}}% +% +\def\epsfgetbb#1{% +% +% The first thing we need to do is to open the +% PostScript file, if possible. +% +\openin\epsffilein=#1 +\ifeof\epsffilein\errmessage{I couldn't open #1, will ignore it}\else +% +% Okay, we got it. Now we'll scan lines until we find one that doesn't +% start with %. We're looking for the bounding box comment. +% + {\epsffileoktrue \chardef\other=12 + \def\do##1{\catcode`##1=\other}\dospecials \catcode`\ =10 + \loop + \read\epsffilein to \epsffileline + \ifeof\epsffilein\epsffileokfalse\else +% +% We check to see if the first character is a % sign; +% if not, we stop reading (unless the line was entirely blank); +% if so, we look further and stop only if the line begins with +% `%%BoundingBox:'. +% + \expandafter\epsfaux\epsffileline:. \\% + \fi + \ifepsffileok\repeat + \ifepsfbbfound\else + \ifepsfverbose\message{No bounding box comment in #1; using defaults}\fi\fi + }\closein\epsffilein\fi}% +% +% Now we have to calculate the scale and offset values to use. +% First we compute the natural sizes. +% +\def\epsfclipon{\def\epsfclipstring{ clip}}% +\def\epsfclipoff{\def\epsfclipstring{\ifepsfdraft\space clip\fi}}% +\epsfclipoff +% +\def\epsfsetgraph#1{% + \epsfrsize=\epsfury\pspoints + \advance\epsfrsize by-\epsflly\pspoints + \epsftsize=\epsfurx\pspoints + \advance\epsftsize by-\epsfllx\pspoints +% +% If `epsfxsize' is 0, we default to the natural size of the picture. +% Otherwise we scale the graph to be \epsfxsize wide. +% + \epsfxsize\epsfsize\epsftsize\epsfrsize + \ifnum\epsfxsize=0 \ifnum\epsfysize=0 + \epsfxsize=\epsftsize \epsfysize=\epsfrsize + \epsfrsize=0pt +% +% We have a sticky problem here: TeX doesn't do floating point arithmetic! +% Our goal is to compute y = rx/t. The following loop does this reasonably +% fast, with an error of at most about 16 sp (about 1/4000 pt). +% + \else\epsftmp=\epsftsize \divide\epsftmp\epsfrsize + \epsfxsize=\epsfysize \multiply\epsfxsize\epsftmp + \multiply\epsftmp\epsfrsize \advance\epsftsize-\epsftmp + \epsftmp=\epsfysize + \loop \advance\epsftsize\epsftsize \divide\epsftmp 2 + \ifnum\epsftmp>0 + \ifnum\epsftsize<\epsfrsize\else + \advance\epsftsize-\epsfrsize \advance\epsfxsize\epsftmp \fi + \repeat + \epsfrsize=0pt + \fi + \else \ifnum\epsfysize=0 + \epsftmp=\epsfrsize \divide\epsftmp\epsftsize + \epsfysize=\epsfxsize \multiply\epsfysize\epsftmp + \multiply\epsftmp\epsftsize \advance\epsfrsize-\epsftmp + \epsftmp=\epsfxsize + \loop \advance\epsfrsize\epsfrsize \divide\epsftmp 2 + \ifnum\epsftmp>0 + \ifnum\epsfrsize<\epsftsize\else + \advance\epsfrsize-\epsftsize \advance\epsfysize\epsftmp \fi + \repeat + \epsfrsize=0pt + \else + \epsfrsize=\epsfysize + \fi + \fi +% +% Finally, we make the vbox and stick in a \special that dvips can parse. +% + \ifepsfverbose\message{#1: width=\the\epsfxsize, height=\the\epsfysize}\fi + \epsftmp=10\epsfxsize \divide\epsftmp\pspoints + \vbox to\epsfysize{\vfil\hbox to\epsfxsize{% + \ifnum\epsfrsize=0\relax + \special{PSfile=\ifepsfdraft psdraft.ps\else#1\fi\space + llx=\epsfllx\space lly=\epsflly\space + urx=\epsfurx\space ury=\epsfury\space rwi=\number\epsftmp + \epsfclipstring}% + \else + \epsfrsize=10\epsfysize \divide\epsfrsize\pspoints + \special{PSfile=\ifepsfdraft psdraft.ps\else#1\fi\space + llx=\epsfllx\space lly=\epsflly\space + urx=\epsfurx\space ury=\epsfury\space rwi=\number\epsftmp\space + rhi=\number\epsfrsize \epsfclipstring}% + \fi + \hfil}}% +\global\epsfxsize=0pt\global\epsfysize=0pt}% +% +% We still need to define the tricky \epsfaux macro. This requires +% a couple of magic constants for comparison purposes. +% +{\catcode`\%=12 \global\let\epsfpercent=%\global\def\epsfbblit{%BoundingBox}}% +% +% So we're ready to check for `%BoundingBox:' and to grab the +% values if they are found. +% +\long\def\epsfaux#1#2:#3\\{\ifx#1\epsfpercent + \def\testit{#2}\ifx\testit\epsfbblit + \epsfgrab #3 . . . \\% + \epsffileokfalse + \global\epsfbbfoundtrue + \fi\else\ifx#1\par\else\epsffileokfalse\fi\fi}% +% +% Here we grab the values and stuff them in the appropriate definitions. +% +\def\epsfempty{}% +\def\epsfgrab #1 #2 #3 #4 #5\\{% +\global\def\epsfllx{#1}\ifx\epsfllx\epsfempty + \epsfgrab #2 #3 #4 #5 .\\\else + \global\def\epsflly{#2}% + \global\def\epsfurx{#3}\global\def\epsfury{#4}\fi}% +% +% We default the epsfsize macro. +% +\def\epsfsize#1#2{\epsfxsize} +% +% Finally, another definition for compatibility with older macros. +% +\let\epsffile=\epsfbox +%% fichier 'illustr.tex' +%% essais pour la creation d'une macro \illustrate +%% version 1 (22/12/96) + +\catcode`\@ = 11 + +\newbox \illustrateb@x + +\def \bmppath{} + +% ============== commandes de base ======================= +% affichage d'une \hbox de la taille desiree, cette hbox +% contenant un ordre \special pour charger un fichier .bmp +% ATTENTION : on utilise la macro \bmppath, initialisee au +% vide pour commencer + +% la routine commnue aux suivantes +\def \bmpillustr@te#1#2#3{% #1 = file, #2 = width, #3 = height + \setbox \illustrateb@x = \hbox{% + \special{bmp: \bmppath/#1 + x=#2 + y=#3}} + \dp \illustrateb@x = 0cm + \ht \illustrateb@x = #3 + \wd \illustrateb@x = #2 } + +% la commande de base +\def \bmpillustrate#1#2#3{% #1 = file, #2 = width, #3 = height + \bmpillustr@te{#1}{#2}{#3} + \box \illustrateb@x } + +% ici, on a en plus un \boxit +\def \boxbmpillustrate#1#2#3{% #1 = file, #2 = width, #3 = height + \bmpillustr@te{#1}{#2}{#3} + \boxit{0.5pt}{\box \illustrateb@x }} + +% ici, on a en plus un \superboxit +\def \superboxbmpillustrate#1#2#3{% #1 = file, #2 = width, #3 = height + \bmpillustr@te{#1}{#2}{#3} + \superboxit{0.5pt}{\box \illustrateb@x }} + +\newbox \illustrateb@x +\newdimen \xsizeillustrateb@x +\newdimen \ysizeillustrateb@x + +\def \epspath{} + +\newbox \legendb@x +\def \legende#1{% + \setbox \legendb@x = \hbox{#1\tvi }} + +% la routine commune aux suivantes +\def \epsillustr@te#1{% #1 = file + \setbox \illustrateb@x = \hbox{\epsfbox{#1}} + \xsizeillustrateb@x = \wd \illustrateb@x + \ysizeillustrateb@x = \ht \illustrateb@x +} + +% la commande de base +\def \epsillustrate#1{% #1 = file + \epsillustr@te{\epspath #1} + \box \illustrateb@x} + +% ici, on a en plus un \boxit +\def \boxepsillustrate#1{% #1 = file + \epsillustr@te{\epspath #1} + \boxit{0.5pt}{\box \illustrateb@x}} + +% ici, on a en plus un \superboxit +\def \boxepsillustrate#1{% #1 = file + \epsillustr@te{\epspath #1} + \vbox{% + \superboxit{0.5pt}{\box \illustrateb@x} + \hbox to \xsizeillustrateb@x {% + \hss + \box \legendb@x + \hss } + }} + +% ici, on a en plus un \superboxit +\def \superboxepsillustrate#1{% #1 = file + \epsillustr@te{\epspath #1} + \vbox{% + \superboxit{0.5pt}{\box \illustrateb@x} + \hbox to \xsizeillustrateb@x {% + \hfil + \box \legendb@x + \hfil} + }} + +% ============== affichage en bordure du texte ========================= + +% la macro modifiée de l'exercice 14.24 du TeXbook +\let \savepar \par +\def \hangcarryover{% + \edef \next{% %% sauvegarde les valeurs + \hangafter \the \hangafter %% courantes (qui sont remises + \hangindent \the \hangindent} %% à 0 à la fin du paragraphe) + \savepar + \next %% restore \hangindent et \hangafter + \edef \next{% + \prevgraf \the \prevgraf} %% sauvegarde le nb de lignes déjà composées +%%%%%%%%%%%%%%%% modif 26/11/96 \indent + \noindent + \next} %% et les restore + +% =============================== la figure a droite === + +% ma tentative de \rightillustrate~: la commande de base, qui +% permet d'afficher du 'vertical material' a droite du texte + +\def \rightillustrate#1#2{% % #1 = vertical material, #2 = nb lines + \setbox\tmpbox \vbox{\unvbox#1} % on stocke le materiel en box10, + \ht\tmpbox = 0pt % dont on annule ht et dp + \dp\tmpbox = 0pt + \line{% % on affiche dans une ligne de + \hfill % hauteur nulle + {\copy \tmpbox }} + \vskip-\baselineskip % on rectif le saut interligne + \hangindent = -1.1 \wd\tmpbox % et on prepare le decalage de droite + \hangafter = #2 + \def \par{% %% on redéfinit le \par + \ifnum \prevgraf > -\hangafter %% qui reste actif tant que l'on + \let \par \savepar %% a pas composé suffisamment de lignes + \par + \else + \hangcarryover + \fi}} + +% les commandes annexes +\def \rightbmpillustrate#1#2#3#4{% #1 = file, #2 = width, #3 = height, #4 = nb lines + \setbox \tmpbox \vbox{% + \bmpillustrate{#1}{#2}{#3}} + \rightillustrate{\tmpbox}{#4}} + +\def \rightboxbmpillustrate#1#2#3#4{% #1 = file, #2 = width, #3 = height, #4 = nb lines + \setbox \tmpbox \vbox{% + \boxbmpillustrate{#1}{#2}{#3}} + \rightillustrate{\tmpbox}{#4}} + +\def \rightsuperboxbmpillustrate#1#2#3#4{% #1 = file, #2 = width, #3 = height, #4 = nb lines + \setbox \tmpbox \vbox{% + \superboxbmpillustrate{#1}{#2}{#3}} + \rightillustrate{\tmpbox}{#4}} + +% les commandes annexes +\def \rightepsillustrate#1#2{% #1 = file, #2 nb lines + \setbox \tmpbox \vbox{% + \epsillustrate{#1}} + \rightillustrate{\tmpbox}{#2}} + +\def \rightboxepsillustrate#1#2{% #1 = file, #2 = nb lines + \setbox \tmpbox \vbox{% + \boxepsillustrate{#1}} + \rightillustrate{\tmpbox}{#2}} + +\def \rightsuperboxepsillustrate#1#2{% #1 = file, #2 = nb lines + \setbox \tmpbox \vbox{% + \superboxepsillustrate{#1}} + \rightillustrate{\tmpbox}{#2}} + +% === la figure a gauche =============================== + +% ma tentative de \leftillustrate~: la commande de base, qui +% permet d'afficher du 'vertical material' a gauche du texte + +\def \leftillustrate#1#2{% % #1 = vertical material, #2 = nb lines + \setbox10 \vbox{#1} % on stocke le materiel en box10, + \ht 10 = 0pt % dont on annule ht et dp + \dp 10 = 0pt + \line{% % on affiche dans une ligne de + {\copy 10 } % hauteur nulle + \hfill} + \vskip-\baselineskip % on rectif le saut interligne + \hangindent = 1.1 \wd10 % et on prepare le decalage de droite + \hangafter = #2 + \def \par{% %% on redéfinit le \par + \ifnum \prevgraf > -\hangafter %% qui reste actif tant que l'on + \let \par \savepar %% a pas composé suffisamment de lignes + \par + \else + \hangcarryover + \fi}} + +% les commandes annexes +\def \leftbmpillustrate#1#2#3#4{% #1 = vertical material, #2 = width + \leftillustrate{% % #3 = height, #4 = nb lines + \vbox{\bmpillustrate{#1}{#2}{#3}}}% + {#4}} + +\def \leftboxbmpillustrate#1#2#3#4{% #1 = vertical material, #2 = width + \leftillustrate{% % #3 = height, #4 = nb lines + \vbox{\boxbmpillustrate{#1}{#2}{#3}}}% + {#4}} + +\def \leftsuperboxbmpillustrate#1#2#3#4{% #1 = vertical material, #2 = width + \leftillustrate{% % #3 = height, #4 = nb lines + \vbox{\superboxbmpillustrate{#1}{#2}{#3}}}% + {#4}} + +% les commandes annexes +\def \leftepsillustrate#1#2{% % #1 = vertical material, #2 = nb lines + \leftillustrate{% + \vbox{\epsillustrate{#1}}}% + {#2}} + +\def \leftboxepsillustrate#1#2{% #1 = vertical material, #2 = nb lines + \leftillustrate{% + \vbox{\boxepsillustrate{#1}}}% + {#2}} + +\def \leftsuperboxepsillustrate#1#2{% #1 = vertical material, #2 = nb lines + \leftillustrate{% + \vbox{\superboxepsillustrate{#1}}}% + {#2}} + +\catcode`\@ = 12 + +%% test des macros \hangafter et \hangindent +%% Ici, on reprend juste le test3, et on essaye +%% de faire un peu plus propre + +%% fichier 'listing.tex' +% cinquième etape de construction de la macro "listing"~: +% la routine de sortie est modifiee (09/09/96), on reecrit totalement +% le \input, on stocke dans des \vbox, et on donne le choix du +% type de listing pour les coupures de page. +% En plus, on reorganise tout ca, de facon a permettre une +% macro \partiallisting. + + +\catcode`\@ = 11 + +% ===== numerotation des lignes +\newif \ifwithlinen@ % avec numerotation des lignes~? +\withlinen@true % oui par defaut + +\def \withlineno{% % selection de l'option de numerotation + \withlinen@true} % par des macros "visibles" +\def \withoutlineno{% + \withlinen@false} + +\def \n@mline{% % affichage du no de ligne + \indent + \llap{\sevenrm \the\lineno~: \hskip .5em}} + +\newcount \lineno % no de la ligne courante +\newcount \listingno % no de version de la macro (0 = coupure n'importe ou, + % 1 = coupure sur ligne vide) +\newcount \beginlineno % no de la premiere ligne a afficher +\newcount \endlineno % no de la derniere ligne a afficher + +\def \listingpath{% % le chemin d'acces, vide par defaut + } + +% ===== affectation des caracteres actifs +{\obeylines \global \def \temoin{^^M}} +% la ligne suivante pose probleme : elle rajoute un caractere dans le +% .dvi (?). A noter que c'est pourtant la solution proposee dans le +% Lachand-Robert... +%%{\obeyspaces\global\let =\ }% +% solution de Knuth : voir le fichier info.tex, ligne 41 +% ===== la boite pour encadrer le listing ligne par ligne +\newbox \encadrbox +\def \initencadrbox{% + \setbox \encadrbox =\hbox to \hsize{% + \vrule height 9pt depth 3pt + \hfil + \vrule height 9pt depth 3pt} + \ht \encadrbox = 0pt + \dp \encadrbox = 0pt + \wd \encadrbox = 0pt} + +\newbox \box@ % le titre du listing +\newtoks \listingtoks +\newread \currentfile + +% ===== passe en mode verbatim +\def \verb@tim{% + \def \do##1{% % on prepare le verbatim + \catcode`##1=12 }% + \def°{% % pas tres propre ca, il s'agit + \char23} % d'un truc provisoire pour le "degre" + \dospecials + \obeyspaces + \def \par{% + \leavevmode + \endgraf}% + \obeylines + \eightpoint \tt} % style de fonte + +\def \writelistingline#1{% % #1 contient la ligne a traiter + \ifnum \lineno < \beginlineno % qu'on affiche seulement si + \else % le no de ligne courante + \ifnum \lineno > \endlineno % est dans l'intervalle convenable + \else + #1 + \fi + \fi} + +% ===== traitement d'une ligne du fichier +\def \traite@ne{% + \ifx \temoin \next % si le 1er caractere est RET + \writelistingline{\next} % c'est que la ligne est vide => on l'affiche + \ifeof \currentfile % si le fichier n'est pas fini + \else % alors on sauvegarde le no de ligne + \global \edef \rest@renum{\lineno \the \lineno} + \vss + \egroup % puis on ferme la boite + \mark{\the \listingtoks} + \immediate \wlog{*************** \the \listingtoks ******** } + \vbox\bgroup % on en ouvre une nouvelle + \rest@renum % et on restaure le no de ligne + \verb@tim + \fi + \else % la ligne n'est pas vide + \writelistingline{\next} % et on l'affiche telle que + \fi} + +% ===== lecture d'une ligne du fichier +\def \read@ne{% % lit la ligne suivante et la + \read \currentfile to \next % stocke dans \next + \global \advance \lineno by 1 + \ifnum \listingno = 1 % suivant le no de version + \traite@ne % on fait un traitement adequat + \else + \writelistingline{\next} % ou on affiche tel que + \fi + \ifeof \currentfile % si c'est fini, + \closein \currentfile % on ferme le fichier + \let \next \relax % et on arrete, + \else % sinon + \let \next \read@ne % on recommence + \fi + \next} + +\def \listing#1#2#3{% #1 = version number #2 = file name, #3 = title + \partiallisting{#1}{#2}{#3}{0}{10000}} % rque~: 10 000 en attendant mieux . . . + +\def \partiallisting#1#2#3#4#5{% #1 = version number #2 = file name, #3 = title + \bigbreak % #4 = no de la 1ere ligne, #5 = no de la derniere ligne + \vskip 2\baselineskip + \penalty -200 + \vskip -2\baselineskip + \listingno = #1 + \beginlineno = #4 + \endlineno = #5 + \immediate \wlog{Beginning listing of \listingpath #2} + \initencadrbox + \begingroup % DEBUT + \offinterlineskip + \listingtoks = {\tensl #3} + \everypar = {% + \hskip -\parindent + \copy \encadrbox + \strut + \ifwithlinen@ + \n@mline + \else + \indent + \fi} + \parskip = 0pt + \lineno = 0 + \ifwithlinen@ + \parindent = 30pt + \else + \parindent = 20pt + \fi + \mark{\the\listingtoks} + \ifnum \listingno = 1 % si version 1, on met dans des \vbox + \vbox + \fi + \bgroup % debut du groupe listing + \setbox\box@ = \hbox{\tensl #3} % recupere le titre pour en calculer la profondeur + \line{% % la 1ere ligne du cadre + \vrule height 0.4pt depth \dp\box@ + \hrulefill + \quad \the \listingtoks \quad + \hrulefill + \vrule height 0.4pt depth \dp\box@} + \hbox to \hsize{% % la ligne vide qui suit + \vrule height 9pt depth 3pt + \hfil + \vrule height 9pt depth 3pt} + \verb@tim + \openin \currentfile = \listingpath #2 % ici on change le \input + \read@ne % et c'est \read@ne qui va lire le fichier + \endgraf + \nobreak + \hbox to \hsize{% % la ligne vide finale + \vrule height 9pt depth 0pt + \hfil + \vrule height 9pt depth 0pt} + \hrule % la \hrule de fin de listing + \egroup % fin du groupe listing + \endgroup % FIN + \mark{} % on restaure la marque + \immediate \wlog{End listing of #2} + \bigbreak}% + +% puis on modifie la routine de sortie +\output = {% + \expandafter \listingchek \botmark \end} % c'est une astuce pour lire + % la \botmark en argument +\def \listingchek#1\end{% + \def \next{#1} % % #1 contient la \botmark + \ifx \next \empty % % vide => pas de coupure + \else % % sinon + \setbox255 = \vbox to \vsize{% % on rajoute la ligne + \unvbox255 % correspondante a la page + \nointerlineskip % deja composee + \line{\copy \encadrbox \hfil \strut} + \nointerlineskip + \hbox to \hsize{% + \vsize = 0pt + \dotfill}} +% \advance \dimen0 by -\prevdepth % +% \kern \dimen0 % + \line{% + \vrule height 0pt depth 2.5pt + \dotfill \quad \sl \next % et la ligne (suite) a la + \hskip 1em (suite)\quad \dotfill % page suivante + \vrule height 0pt depth 2.5pt} + \line{\copy \encadrbox \strut \hfill} % avec une ligne vide + \fi + \plainoutput} % final~: on appelle la routine +% % habituelle +\catcode`\@ = 12 + +%% fichier 'misenpge.tex' +%% les differentes macros de mise en page + +% ============ macros de mises a jour ========= +\def \today {% + $\number \day $ \space + \ifcase \month \or + Janvier \or Février \or Mars \or Avril \or Mai \or Juin \or + Juillet \or Août \or Septembre \or Octobre \or Novembre \or + Décembre + \fi + $\number \year $} + +% ====================== referencage des documents =========================== + +%%%%% la date %%%%% + +\newbox \datebox +\def \cleardatebox {% + \setbox \datebox = \box \datebox } +\cleardatebox +\def \date#1{% + \setbox \datebox \hbox {\eightpoint \rm #1}} + +%%%%% la classe %%%%% + +\newbox \classebox +\def \clearclassebox {% + \setbox \classebox = \box \classebox } +\def \classe#1{% + \setbox \classebox \hbox {\sevenrm #1}} + +%%%%% les references du document %%%%% + +\newbox \classificationbox +\def \clearclassificationbox {% + \setbox \classificationbox = \box \classificationbox } +\clearclassificationbox +\def \classification#1#2{% + \setbox \classificationbox = \hbox {\eightpoint \rm {\bf #1} #2 \hfill }} + +% ============================================================================= +%% \def \duree#1{% +%% \setbox \dureebox +%% \hbox {\sevenrm \underbar {durée}~: #1}}% +%% \def \bareme#1{% +%% \setbox \baremebox = % +%% \hbox {({\sl #1 points\/}) }}% +%% =============================================== +% la définition suivante est destinée à être supprimée +% (mauvaise conception) jp, 15-08-96 +%\def \entete{% +% \vskip \enteteskip +% \line{\unhbox \classificationbox +% \unhbox \classebox +% \hfil +% \quad +% \unhbox \datebox} +% \vskip \enteteskipafter}% + +%%%%%%%%% REMARQUE~: du coup, les variables \entete... sont inutiles + +% ============================ gestion de la headline ========================= + +\newtoks \lyceeheadline +\newtoks \firstheadline +\newtoks \oddheadline +\newtoks \evenheadline + +\lyceeheadline = {% + \unhcopy \classificationbox + \unhcopy \classebox + \hfil \quad + \unhcopy \datebox } + +\headline = {% + \ifnum \pageno = 1 + \the\firstheadline + \else + \ifodd \pageno + \the\oddheadline + \else + \the\evenheadline + \fi + \fi} + +\firstheadline = \lyceeheadline +\oddheadline = \lyceeheadline +\evenheadline = \lyceeheadline + +% ============================ gestion de la footline ========================= + +\newtoks \firstfootline +\newtoks \oddfootline +\newtoks \evenfootline +\newtoks \lyceefootline + +\footline = {% + \ifnum \pageno = 1 + \the\firstfootline + \else + \ifodd \pageno + \the\oddfootline + \else + \the\evenfootline + \fi + \fi } + +\lyceefootline = {\hss} +\firstfootline = \lyceefootline +\oddfootline = \lyceefootline +\evenfootline = \lyceefootline + +% ============================================================================= + +%% fichier 'info.tex' +%% macros pour décrire des programmes. ref pp 420--422 du TeXbook +%% + + +\def \|{\leavevmode \hbox{\tt \char`\|}} % vertical line +\def \°{\leavevmode \hbox{\tt \char23}} % ??? + +\newskip \ttglue \ttglue = .5em plus.25em minus .15em + +\outer \def \begindisplay{% + \obeylines + \startdisplay} +{\obeylines \gdef \startdisplay#1 + {\catcode`\^^M=5% + $$#1 % + \halign\bgroup % + \indent ## \hfil && \qquad ## \hfil \cr}} +\outer \def \enddisplay{% + \crcr + \egroup + $$} + +\chardef \other = 12 + +\def \ttverbatim{% + \begingroup + \catcode`\\=\other + \catcode`\{=\other + \catcode`\}=\other + \catcode`\$=\other + \catcode`\&=\other + \catcode`\#=\other + \catcode`\%=\other + \catcode`\~=\other + \catcode`\_=\other + \catcode`\^=\other + \obeyspaces + \obeylines % + \tt} + +{\obeyspaces \gdef {\ }} % \obeyspaces now gives \ , not \space + +\outer \def \begintt{% + $$ + \let \par = \endgraf + \ttverbatim % + \parskip = 0pt % + \catcode`\|=0 % + \rightskip = -5pc % + \ttfinish} + +{\catcode`\| = 0 \catcode`\\=\other % | is temporary escape character +|obeylines % +|gdef |ttfinish#1^^M#2\endtt{% + #1 % + |vbox{#2} % + |endgroup % + $$}} + +% ci-dessous une astuce remarquable pour permettre d'écrire '|something|' et +% d'avoir la phrase 'something' en ttverbatim. + +\catcode`\@ = 11 + +\def \specialbar{% + \ifmmode + \def \next{|} + \else + \let \next = \speci@lbar + \fi + \next} +\catcode`\|=\active \let| = \specialbar +{\obeylines \gdef \speci@lbar{% + \ttverbatim % + \spaceskip = \ttglue % + \let^^M=\ % + \let|=\endgroup}} + + +\catcode`\@ = 12 + +\Times diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/fusee62-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/fusee62-couleurs.dat new file mode 100644 index 00000000000..ff0a2f86d82 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/fusee62-couleurs.dat @@ -0,0 +1,2286 @@ +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) +(rouge) 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a/Master/texmf-dist/doc/generic/pst-solides3d/doc/fusee62-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/fusee62-io.dat new file mode 100644 index 00000000000..f4305c8e0a0 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/fusee62-io.dat @@ -0,0 +1 @@ +0 2285 2286 2285
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1,base=\baseS,ngrid=1,decal=1,RotZ=90,RotX=90](0,0,0.2)} +\end{pspicture} +\end{center} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/liaisons-methane.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/liaisons-methane.tex new file mode 100644 index 00000000000..e4ab391c052 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/liaisons-methane.tex @@ -0,0 +1,86 @@ +\begin{center} +\begin{pspicture}(-4,-4)(4,5) +\psset{viewpoint=100 50 20 rtp2xyz,Decran=30,RotY=-30} +{\psset{lightintensity=1,linewidth=0.5\pslinewidth} +\psframe(-4,-4)(4,5) +\codejps{ + /L1 { + 0 0.25 10.93 [8 6] newcylindre + {-90 0 0 rotateOpoint3d} solidtransform + dup (White) outputcolors + } def +/L2 { L1 {0 0 -109.5 rotateOpoint3d} solidtransform } def +/L3 { L2 {0 -120 0 rotateOpoint3d} solidtransform } def +/L4 { L2 {0 120 0 rotateOpoint3d} solidtransform } def +/L12 { L1 L2 solidfuz} def +/L123 { L12 L3 solidfuz} def +/Liaisons { L123 L4 solidfuz} def + Liaisons drawsolid**}} 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+f 1530 1540 1531 +f 1540 1541 1531 +f 1531 1541 1532 +f 1541 1542 1532 +f 1532 1542 1533 +f 1542 1543 1533 +f 1533 1543 1534 +f 1543 1544 1534 +f 1534 1544 1535 +f 1544 1545 1535 +f 1535 1545 1536 +f 1545 1546 1536 +f 1536 1546 1527 +f 1546 1537 1527 +f 1537 1547 1538 +f 1538 1547 1539 +f 1539 1547 1540 +f 1540 1547 1541 +f 1541 1547 1542 +f 1542 1547 1543 +f 1543 1547 1544 +f 1544 1547 1545 +f 1545 1547 1546 +f 1546 1547 1537 diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-affinage.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-affinage.tex new file mode 100644 index 00000000000..531ecb392b5 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-affinage.tex @@ -0,0 +1,87 @@ +\section {Affiner un solide} + +Nous désignerons par \textsl{affinage de rapport $k$} l'opération qui, +pour une face donnée de centre $G$, consiste à effectuer sur cette +face une homothétie de rapport $k$ et de centre $G$, puis à diviser la +face originelle en utilisant cette nouvelle face. + +Par exemple, voici un cube ayant subi un affinage de rapport $0,8$ sur +sa face supérieure~: +\begin{center} +\psset{unit=0.5} +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-4,-4)(4,4) +\psframe(-4,-4)(4,4) +\psSolid[object=cube, + fillcolor=red, + affinagerm, + fcolor=Yellow, + affinage=0] +\end{pspicture*} +\end{center} + +L'option \verb+affinage+ permet d'affiner les faces soit globalement, soit +individuellement. Cette option utilise l'argument \verb+affinagecoeff+ +(valeur $0, 8$ par défaut) qui indique le rapport $k$ utiliser pour +l'affinage ($0<k<1$). +% +\begin{itemize} + \item \Cadre{[affinage=all]} affine toutes les faces ; + \item \Cadre{[affinage=0 1 2 3]} affine les faces \texttt{[0,1,2 et 3]} ; +\end{itemize} + +Lorsqu'un face se trouve affinée, le comportement par défaut supprime la +face centrale obtenue. Toutefois, l'option \verb+affinagerm+ permet de +conserver cette face centrale. + +Si on conserve la face centrale, elle est par défaut de la couleur de +la face originelle. L'option \verb+fcolor+ permet de spécifier une +couleur de remplacement. + +%\newpage +\begin{multicols}{2} +\psset{unit=0.5} +\setlength{\columnseprule}{1pt} +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-5,-4)(6,5) +\psframe(-5,-4)(6,5) +\psSolid[object=cube, + fillcolor=cyan, + incolor=red, + hollow, + affinage=0] +\end{pspicture*} +\begin{verbatim} +\psSolid[object=cube, + fillcolor=cyan, + incolor=red, + hollow, + affinage=0] +\end{verbatim} +% +\columnbreak +% +\centerline{ +\begin{pspicture*}(-5,-4)(6,5) +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\psframe(-5,-4)(6,5) +\psSolid[object=cube, + fillcolor=cyan, + affinagecoeff=.5, + affinagerm, + fcolor=.5 setfillopacity Yellow, + hollow, + affinage=all] +\end{pspicture*}} +\begin{verbatim} +\psSolid[object=cube, + fillcolor=cyan, + affinagecoeff=.5, + affinagerm, + fcolor=.5 setfillopacity Yellow, + hollow, + affinage=all] +\end{verbatim} +\end{multicols} + + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux.tex new file mode 100644 index 00000000000..d2f097f82eb --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-anneaux.tex @@ -0,0 +1,452 @@ + +\section {Solide anneau} + +Cette partie traite des anneaux cylindriques. Dans la commande +\verb+\psSolid+, cet objet est tracé avec l'option : +\verb+[object=anneau]+, dont il faut fixer +3 paramètres : +\begin{itemize} + \item le rayon intérieur \verb+[r=1.5]+ (valeur par défaut) ; + \item le rayon extérieur \verb+[R=4]+ (valeur par défaut) + \item la hauteur \verb+[h=6]+ (valeur par défaut). +\end{itemize} + +En option, l'argument \verb+ngrid+ permet de définir le nombre de +sections utilisées pour faire une rotation complète de +$360$~degrés. Sa valeur par défaut est $24$. + +La section de l'anneau dont la forme \texttt{rectangulaire} a été +choisie par défaut, peut être redessinée par l'utilisateur. +Nous allons détailler différents exemples de section. + +\subsection {Commande pré-définie~: l'anneau à section rectangulaire.} + +Cette section est définie dans le plan $Oyz$, elle est paramétrée par le +triplet $(r, R, h)$. Les valeurs du rayon +extérieur $R$, du rayon intérieur $r$ et de la hauteur $h$ sont +passées dans les options de \verb+\psSolid+. Par défaut, on a donc un +anneau à section rectangulaire variable, et la définition se fait au +moment de la transmission des valeurs pour $(r, R, h)$ dans les +options de \verb+\psSolid+. + +Si l'utilisateur redéfinit la macro \TeX {} \verb+\Section+ avec des +valeurs numériques plutôt que les paramètres $r$, $R$ et $h$, alors +l'anneau n'est plus variable et il n'est plus besoin de transmettre +des valeurs pour $r$, $R$, et $h$ dans les options de \verb+\psSolid+. + +\begin{minipage}{0.45\linewidth} +\begin{verbatim} +\newcommand\Section{% +% y z + R h 2 div neg % sommet 1 + % S1 (R,-h/2) + R h 2 div % sommet 2 + % S2 (r,h/2) + r h 2 div % sommet 3 + % S3 (r,h/2) + r h 2 div neg % sommet 4 + % S4 (r,-h/2) + } +\end{verbatim} +\end{minipage} +\hfill +\begin{minipage}{0.45\linewidth} +\psset{unit=0.5} +\begin{pspicture}(-5,-3)(5,3) +\pstVerb{/R 4 def /r 2 def /h 2 def}% +\newcommand\RectangularSection{% + \pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (!R h 2 div neg)(!R h 2 div)(!r h 2 div)(!r h 2 div neg)} +\rput(0,0){\RectangularSection}\rput(-6,0){\RectangularSection} +\psline(-2,1)(2,1)\psline(-2,-1)(2,-1) +\psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) +\psline[linestyle=dashed]{->}(-4,0)(4.2,0) +\uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} +\psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} +\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} +\psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} +\uput[dr](!R h 2 div neg){1} +\uput[ur](!R h 2 div ){2} +\uput[ul](!r h 2 div ){3} +\uput[dl](!r h 2 div neg){4} +\end{pspicture} +\end{minipage} +% +\bgroup\centering +%% +\psset{unit=0.5} +\begin{pspicture}(-5,-4)(5,4) +\psframe(-5,-4)(5,4) +\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} +\psSolid[object=anneau,fillcolor=cyan,h=3,R=8,r=6,ngrid=4,RotX=10](0,0,0) +\end{pspicture} +%% +\begin{pspicture}(-5,-4)(5,4) +\psframe(-5,-4)(5,4) +\psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} +\psSolid[object=anneau,fillcolor=yellow,h=3,R=8,r=6,RotX=90,RotZ=10](0,0,0) +\end{pspicture} +\par\egroup +%% \begin{verbatim} +%% \begin{pspicture}(-5,-6)(5,6) +%% \psframe(-5,-4)(5,4) +%% \psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,% +%% Decran=25,lightsrc=10 20 20} +%% \psSolid[object=anneau,fillcolor=cyan,h=3,R=8,r=6,ngrid=4,RotX=10](0,0,0) +%% \end{pspicture} +%% %% +%% \begin{pspicture}(-5,-6)(5,5) +%% \psframe(-5,-4)(5,4) +%% \psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,% +%% Decran=25,lightsrc=-10 -20 -20} +%% \psSolid[object=anneau,fillcolor=yellow,h=3,R=8,r=6,RotX=90,RotZ=10](0,0,0) +%% \end{pspicture} +%% \end{verbatim} +\begin{verbatim} +\psSolid[object=anneau,fillcolor=cyan,h=3,R=8,r=6,ngrid=4,RotX=10](0,0,0) +\psSolid[object=anneau,fillcolor=yellow,h=3,R=8,r=6,RotX=90,RotZ=10](0,0,0) +\end{verbatim} + +\subsection {Un simple anneau à section triangulaire} + +Ci-dessous un anneau très simple, à section triangulaire fixe. La +section est définie par la donnée des $3$~points $(6, -2)$, (10, 0) +et $(6, 2)$ dans l'option \texttt{section} de \verb+\psSolid+. + +\begin{center} +\begin{minipage}{0.45\linewidth} +\psset{unit=0.5} +\begin{pspicture}(-5,-6)(5,6) +\psframe(-5,-4)(5,4) +\psset[pst-solides3d]{ + viewpoint=50 20 40 rtp2xyz,Decran=25, + lightsrc=10 20 20} +\psSolid[object=anneau, + section=6 -2 10 0 6 2, + fillcolor=cyan,RotX=10]% +\end{pspicture} +\end{minipage} +%% +\begin{minipage}{0.45\linewidth} +\begin{verbatim} +\psset{unit=0.5} +\begin{pspicture}(-5,-6)(5,6) +\psframe(-5,-4)(5,4) +\psset[pst-solides3d]{ + viewpoint=50 20 40 rtp2xyz,Decran=25, + lightsrc=10 20 20} +\psSolid[object=anneau, + section=6 -2 10 0 6 2, + fillcolor=cyan,RotX=10]% +\end{pspicture} +\end{verbatim} +\end{minipage} +\end{center} + +%\newpage + +\subsection {Un anneau variable à section triangulaire} + +\newcommand\SectionTriangulaire{ + R h 2 div neg % sommet 1 + R r add 2 div h 2 div % sommet 2 + r h 2 div neg % sommet 3 +} + +\begin{minipage}{0.45\linewidth} +\begin{verbatim} +\newcommand\SectionTriangulaire{ +% y <----z----> + R h 2 div neg + % S1 (R,-h/2) + R r add 2 div h 2 div + % S2 ((R+r)/2,h/2) + r h 2 div neg + % S3 (r,-h/2) +} +\end{verbatim} +\end{minipage} +\hfill +\begin{minipage}{0.45\linewidth} +\psset{unit=0.5} +\begin{pspicture}(-5,-3)(5,3) +%\psgrid +\pstVerb{/R 4 def /r 2 def /h 2 def}% +\newcommand\TriangularSection{% + \pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (!R h 2 div neg)(!R r add 2 div h 2 div)(!r h 2 div neg)} +\rput(0,0){\TriangularSection}\rput(-6,0){\TriangularSection} +\psline(-3,1)(3,1)\psline(-4,-1)(4,-1) +\psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) +\uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} +\psline[linestyle=dashed](2,-1)(2,1.5) +\psline[linestyle=dashed](4,-1)(4,2.5) +\psline[linestyle=dashed]{->}(-4,0)(4.2,0) +\psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} +\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} +\psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} +\uput[dr](!R h 2 div neg){1} +\uput[u](!R r add 2 div h 2 div){2} +\uput[dl](!r h 2 div neg){3} +\end{pspicture} +\end{minipage} +\begin{center} +%% +\psset{unit=0.5} +\begin{pspicture}(-5,-6)(5,6) +\psframe(-5,-4)(5,4) +\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} +\psSolid[object=anneau,section=\SectionTriangulaire,fillcolor=cyan,h=3,R=8,r=4,RotX=10]% +\end{pspicture} +%% +\begin{pspicture}(-5,-6)(5,5) +\psframe(-5,-4)(5,4) +\psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} +\psSolid[object=anneau,section=\SectionTriangulaire,fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10]% +\end{pspicture} +\end{center} +%% \begin{verbatim} +%% \begin{pspicture}(-5,-6)(5,6) +%% \psframe(-5,-4)(5,4) +%% \psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,% +%% Decran=25,lightsrc=10 20 20} +%% \psSolid[object=anneau,section=\SectionTriangulaire,% +%% fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) +%% \end{pspicture} +%% %% +%% \begin{pspicture}(-5,-6)(5,5) +%% \psframe(-5,-4)(5,4) +%% \psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,% +%% Decran=25,lightsrc=-10 -20 -20} +%% \psSolid[object=anneau,section=\SectionTriangulaire,% +%% fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10](0,0,0) +%% \end{pspicture} +%% \end{verbatim} +\begin{verbatim} +\psSolid[object=anneau,section=\SectionTriangulaire,% + fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) +%% +\psSolid[object=anneau,section=\SectionTriangulaire,% + fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10](0,0,0) +\end{verbatim} + +%%\newpage + +\newcommand\SectionPneu{ + /m {90 4 div} bind def + /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def + /Z0 {h 4 div} bind def + /c {Z0 Scos div} bind def + /Z1 {Z0 c m cos mul add} bind def + /Z2 {Z1 c m 2 mul cos mul add} bind def + /R1 {R c m sin mul sub} bind def + /R2 {R1 c m 2 mul sin mul sub} bind def + /R3 {R2 c m 3 mul sin mul sub} bind def + R h 4 div neg % 1 + R h 4 div % 2 + R1 Z1 % 3 + R2 Z2 % 4 + R3 h 2 div % 5 + r h 2 div % 6 + r h 2 div neg % 7 + R3 h 2 div neg % 8 + R2 Z2 neg % 9 + R1 Z1 neg % 10 + } + +\subsection {L'anneau à section ``pneu'' : anneau cylindrique à arêtes chanfreinées.} + +\begin{minipage}{0.45\linewidth} +{\small +\begin{verbatim} +\renewcommand\SectionPneu{ + /m {90 4 div} bind def + /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def + /Z0 {h 4 div} bind def + /c {Z0 Scos div} bind def + /Z1 {Z0 c m cos mul add} bind def + /Z2 {Z1 c m 2 mul cos mul add} bind def + /R1 {R c m sin mul sub} bind def + /R2 {R1 c m 2 mul sin mul sub} bind def + /R3 {R2 c m 3 mul sin mul sub} bind def + R h 4 div neg % 1 + R h 4 div % 2 + R1 Z1 % 3 + R2 Z2 % 4 + R3 h 2 div % 5 + r h 2 div % 6 + r h 2 div neg % 7 + R3 h 2 div neg % 8 + R2 Z2 neg % 9 + R1 Z1 neg % 10 + } +\end{verbatim}} +\end{minipage} +\hfill +\begin{minipage}{0.45\linewidth} +%\psset{unit=0.65} +\begin{pspicture}(-2,-3)(5,6) +%\psgrid +\pstVerb{/R 4 def /r 2 def /h 2 def}% +\pstVerb{/m {90 4 div} bind def + /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def + /Z0 {h 4 div} bind def + /c {Z0 Scos div} bind def + /Z1 {Z0 c m cos mul add} bind def + /Z2 {Z1 c m 2 mul cos mul add} bind def + /R1 {R c m sin mul sub} bind def + /R2 {R1 c m 2 mul sin mul sub} bind def + /R3 {R2 c m 3 mul sin mul sub} bind def}% +\pnode(!R h 4 div neg){S1} +\pnode(!R h 4 div){S2} +\pnode(!R1 Z1){S3} +\pnode(!R2 Z2){S4} +\pnode(!R3 h 2 div){S5} +\pnode(!r h 2 div){S6} +\pnode(!r h 2 div neg){S7} +\pnode(!R3 h 2 div neg){S8} +\pnode(!R2 Z2 neg){S9} +\pnode(!R1 Z1 neg){S10} +\newcommand\pneuSection{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)(S9)(S10)} +\rput(0,0){\pneuSection}\rput{180}{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (!R h 4 div neg)(!R h 4 div)(!R1 Z1)(!R2 Z2)(!R3 h 2 div)(!r h 2 div)(!r h 2 div neg)(!R3 h 2 div neg)(!R2 Z2 neg)(!R1 Z1 neg)} +\psline(-3,1)(3,1)\psline(-3,-1)(3,-1) +\psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) +\uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} +\psline[linestyle=dashed](2,-1)(2,1.5) +\psline[linestyle=dashed](4,-1)(4,2.5) +\psline[linestyle=dashed]{->}(-4,0)(4.2,0) +\psline{->}(0,1.5)(2,1.5)\uput[u](1,1.5){$r$} +\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} +\psline{<->}(5,-1)(5,1)\uput[r](5,0){$h$} +\uput[r](S1){1} +\uput[r](S2){2} +\uput[u](S3){3} +\uput[u](S4){4} +\uput[u](S5){5} +\uput[ul](S6){6} +\uput[dl](S7){7} +\uput[dl](S8){8} +\uput[dr](S9){9} +\uput[r](S10){10} +\psdots[linecolor=red](S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)(S9)(S10) +\end{pspicture} +\end{minipage} + +%\iffalse +\begin{center} +\psset{unit=0.7} +\begin{pspicture}(-5,-5)(5,4) +\psframe(-5,-4)(5,4) +\psset[pst-solides3d]{viewpoint=50 20 40 rtp2xyz,Decran=25,lightsrc=10 20 20} +\psSolid[object=anneau,section=\SectionPneu,fillcolor=cyan,h=3,R=8,r=4,RotX=10]% +\end{pspicture} +%% +\begin{pspicture}(-5,-5)(5,4) +\psframe(-5,-4)(5,4) +\psset[pst-solides3d]{viewpoint=50 -20 -40 rtp2xyz,Decran=25,lightsrc=-10 -20 -20} +\psSolid[object=anneau,section=\SectionPneu,fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10]% +\end{pspicture} +\end{center} +%% +\begin{gbar} +\begin{verbatim} +\psSolid[object=anneau,section=\SectionPneu,% + fillcolor=cyan,h=3,R=8,r=4,RotX=10](0,0,0) +\psSolid[object=anneau,section=\SectionPneu,% + fillcolor=yellow,h=3,R=8,r=4,RotX=-90,RotZ=10]% +\end{verbatim} +\end{gbar} +%\fi +\newpage + +\subsection{Bobine vide} + +\newcommand\SectionBobine{ + r h 2 div % 1 + r h 2 div neg % 2 + R h 2 div neg % 3 + R h 3 div neg % 4 + R h 4 div sub h 3 div neg % 5 + R h 4 div sub h 3 div % 6 + R h 3 div % 7 + R h 2 div % 8 + } + +\begin{minipage}{0.45\linewidth} +\begin{verbatim} +\newcommand\SectionBobine{ + r h 2 div % 1 + r h 2 div neg % 2 + R h 2 div neg % 3 + R h 3 div neg % 4 + R h 4 div sub h 3 div neg % 5 + R h 4 div sub h 3 div % 6 + R h 3 div % 7 + R h 2 div % 8 + } +\end{verbatim} +\end{minipage} +\hfill +\begin{minipage}{0.45\linewidth} +\begin{pspicture}(-2,-2)(5,2) +\pstVerb{/RB 4 def /rB 2 def /hB 3 def}% +\pnode(!rB hB 2 div){S1} +\pnode(!rB hB 2 div neg){S2} +\pnode(!RB hB 2 div neg){S3} +\pnode(!RB hB 3 div neg){S4} +\pnode(!RB hB 4 div sub hB 3 div neg){S5} +\pnode(!RB hB 4 div sub hB 3 div){S6} +\pnode(!RB hB 3 div){S7} +\pnode(!RB hB 2 div){S8} +\newcommand\pneuSection{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8)} +\rput(0,0){\pneuSection}\rput{180}{\pspolygon[fillstyle=vlines,linewidth=2\pslinewidth]% + (!rB hB 2 div)(!rB hB 2 div neg)(!RB hB 2 div neg)(!RB hB 3 div neg)(!RB hB 4 div sub hB 3 div neg)(!RB hB 4 div sub hB 3 div)(!RB hB 3 div)(!RB hB 2 div)} +\psline(-3,1.5)(3,1.5)\psline(-3,-1.5)(3,-1.5) +\psline[linestyle=dashed,dash=1 0.2 0.05 0.2]{->}(0,-3)(0,3) +\uput[u](0,3){$z$}\uput[r](4.1,0){$y$}\uput[dl](0,0){$O$} +\psline[linestyle=dashed](2,-1)(2,1.5) +\psline[linestyle=dashed](4,-1)(4,2.5) +\psline[linestyle=dashed](-4,-1)(4,-1) +\psline[linestyle=dashed](-4,1)(4,1) +\psline[linestyle=dashed]{->}(-4,0)(4.2,0) +\psline{->}(0,1.8)(2,1.8)\uput[u](1,1.8){$r$} +\psline{->}(0,2.5)(4,2.5)\uput[u](2,2.5){$R$} +\psline{<->}(5,-1.5)(5,1.5)\uput[r](5,0){$h$} +\uput[u](S1){1} +\uput[d](S2){2} +\uput[d](S3){3} +\uput[r](S4){4} +\uput[ur](S5){5} +\uput[dr](S6){6} +\uput[r](S7){7} +\uput[r](S8){8} +\psdots[linecolor=red](S1)(S2)(S3)(S4)(S5)(S6)(S7)(S8) +\end{pspicture} +\end{minipage} +\begin{center} +\begin{pspicture}(-5,-6)(5,5) +\psframe*[linecolor=blue!50](-5,-5)(5,4) +\psset[pst-solides3d]{viewpoint=70 40 10 rtp2xyz,Decran=25,lightsrc=0 30 100} +\psSolid[object=grille,base=-15 15 -15 15,fillcolor=yellow!30!black!10](0,0,-8) +%\psSolid[object=prisme,h=2,base=-15 1 -15 -1 15 -1 15 1](0,0,-8) +\psSolid[object=anneau,section=\SectionBobine,fillcolor=gray!50,h=6,R=8,r=4,RotX=90,linecolor=gray]% +\end{pspicture} +\end{center} +\begin{gbar} +\begin{verbatim} +\psSolid[object=grille,base=-15 15 -15 15,fillcolor=yellow!30](0,0,-8) +\psSolid[object=anneau,section=\SectionBobine,% + fillcolor=gray!50,h=6,R=8,r=4,RotX=90,linecolor=gray]% +\end{verbatim} +\end{gbar} + + +\subsection{D'autres anneaux} +Trois autres exemples sont disponibles sur la page : + +\centerline{\url{http://syracuse.eu.org/lab/bpst/pst-solides3d/anneaux}} + + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-annoterschema.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-annoterschema.tex new file mode 100644 index 00000000000..be8f722071a --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-annoterschema.tex @@ -0,0 +1,31 @@ +\section{Annoter un schéma} + +Il est évidemment intéressant de pouvoir annoter un schéma, prenons +l'exemple de la molécule de méthane dont nous voulons indiquer les +distances et les angles. + +Une première étape consiste à représenter la molécule avec uniquement +les liaisons et les grandeurs caractéristiques, puis la molécule dans +une représentation plus esthétique. +\input \datapath liaisons-methane.tex +La construction de la molécule est détaillée dans le document +\texttt{molecules.tex}. Pour annoter le schéma il suffit de repérer +les sommets du tétraèdre : +\begin{verbatim} +\psPoint(0,10.93,0){H1} +\psPoint(10.3,-3.64,0){H2} +\psPoint(-5.15,-3.64,8.924){H3} +\psPoint(-5.15,-3.64,-8.924){H4} +\end{verbatim} +et d'utiliser toute la puissance du package \texttt{pst-node}. D'abord pour les distances : +\begin{verbatim} +\pcline[offset=0.25]{<->}(H2)(H3) +\aput{:U}{17,8 pm} +\pcline[offset=0.15]{<->}(H2)(O) +\aput{:U}{10,93 pm} +\psPoint(-5.15,-3.64,-8.924){H4} +\end{verbatim} +Puis, pour les angles, en s'aidant du package \texttt{pst-eucl} +\begin{verbatim} +\pstMarkAngle[arrows=<->]{H1}{O}{H3}{\small 109,5$^{\mathrm{o}}$} +\end{verbatim} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-axes3D.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-axes3D.tex new file mode 100644 index 00000000000..8e9ffc5234e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-axes3D.tex @@ -0,0 +1,44 @@ +\section{Les axes en 3D} + +la commande \Cadre{\textbackslash axesIIID[options](x1,y1,z1)(x2,y2,z2)} trace les axes $Ox$, +$Oy$ et $Oz$ en pointillés de $O$ respectivement, jusqu'au point de coordonnées +$(x_1,0,0)$ pour l'axe des $x$, $(0,y_1,0)$ pour l'axe des $y$ et +$(0,0,z_1)$ pour l'axe des $z$ et ensuite en trait continu jusqu'aux +points $(x_2,0,0)$, $(0,y_2,0)$ et $(0,0,z_2)$. + +Les options sont les suivantes : +\begin{itemize} + \item toutes les options de couleur, d'épaisseur du trait, ainsi que des caractéristiques des flèches. + \item \Cadre{labelsep=valeur} qui permet de placer à la distance souhaitée de l'extrémité de la flèche, l'étiquette de l'axe, sa valeur par défaut est \Cadre{labelsep=5pt}, il s'agit de la distance réelle en trois dimensions et non sur l'écran. + \item Le choix des étiquettes(\textit{labels}) de chaque axe avec l'option \Cadre{axisnames={a,b,c}}, avec par défaut \Cadre{axisnames={x,y,z}}. + \item La possibilité de spécifier, le style de ces étiquettes avec l'option : \Cadre{axisemph={\boldmath\Large\color{red}}}, par défaut il n'y a pas de style prédéfini, c'est-à-dire que si l'on ne précise rien on aura \Cadre{$x,y,z$}. + \item \Cadre{showOrigin} est un booléen, \texttt{true} par défaut, s'il est positionné à \Cadre{showOrigin=false} les pointillés ne seront plus tracés depuis l'origine. + \item \Cadre{mathLabel} est un booléen, \texttt{true} par défaut, qui dans ce cas écrit les étiquettes en mode mathématique, positionné à \Cadre{mathLabel=false} on passe dans le mode usuel. +\end{itemize} +\encadre{Les étiquettes sont placées aux extrémités des axes dans leur prolongement.} + +\begin{LTXexample}[width=5cm] +\begin{pspicture}(-2,-2)(3,3) +\psset{viewpoint=100 30 20,Decran=100} +\psframe(-2,-2)(3,3) +\psSolid[object=cube,a=2, + action=draw*, + fillcolor=magenta!20] +\axesIIID[showOrigin=false](1,1,1)(3,2,2.5) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=5cm] +\begin{pspicture}(-2,-1)(3,4) +\psset{viewpoint=100 45 20,Decran=100} +\psframe(-2,-1)(3,4) +\psSolid[object=cylindre,h=2,r=1, + action=draw*,mode=4, + fillcolor=green!20] +\axesIIID[linewidth=1pt,linecolor=red,arrowsize=5pt, + arrowinset=0,axisnames={a,b,c}, + axisemph={\boldmath\Large\color{red}}, + labelsep=10pt] + (1,1,2)(2,2,3) +\end{pspicture} +\end{LTXexample}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-chanfrein.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-chanfrein.tex new file mode 100644 index 00000000000..59d2e10f67e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-chanfrein.tex @@ -0,0 +1,83 @@ +\section {Chanfreiner un solide} + +\begin{multicols}{3} +\begin{center} +\psset{unit=0.5} +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-4,-4)(4,4) +\psframe(-4,-4)(4,4) +\psSolid[object=cube, + a=5, + fillcolor=red, +] +\end{pspicture*} +\end{center} +\columnbreak +\begin{center} +\psset{unit=0.5} +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-4,-4)(4,4) +\psframe(-4,-4)(4,4) +\psSolid[object=cube, + a=5, + fillcolor=red, + chanfrein, + chanfreincoeff=.6, +] +\end{pspicture*} +\end{center} +\columnbreak +\begin{verbatim} +\psSolid[object=cube, + a=5, + fillcolor=red, + chanfrein, + chanfreincoeff=.6, +] +\end{verbatim} +\end{multicols} + +L'option \Cadre{[chanfrein]} permet de chanfreiner un solide. Cette +option utilise l'argument \Cadre{[chanfreincoeff]} (valeur $0,8$ par +défaut) qui indique le rapport $k$ à utiliser ($0<k<1$). Ce rapport +est celui d'une homothétie de cetre le centre de la face considérée. + +\begin{multicols}{3} +\begin{center} +\psset{unit=0.5} +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=30} +\begin{pspicture*}(-4,-4)(4,4) +\psframe(-4,-4)(4,4) +\psSolid[object=dodecahedron, + a=5, + fillcolor=cyan, +] +\end{pspicture*} +\end{center} +\columnbreak +\begin{center} +\psset{unit=0.5} +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=30} +\begin{pspicture*}(-4,-4)(4,4) +\psframe(-4,-4)(4,4) +\psSolid[object=dodecahedron, + a=5, + fillcolor=cyan, + chanfrein, + chanfreincoeff=.8, +] +\end{pspicture*} +\end{center} +\columnbreak +\begin{verbatim} +\psSolid[object=dodecahedron, + a=5, + fillcolor=cyan, + chanfrein, + chanfreincoeff=.8, +] +\end{verbatim} +\end{multicols} + + +%\newpage diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-changements.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-changements.tex new file mode 100644 index 00000000000..a5816e40dcd --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-changements.tex @@ -0,0 +1,40 @@ +\section {Changements par rapport aux versions précédentes} + +\subsection {Changements par rapport à la version 3.0} + +\begin {itemize} + +\item La macro de projection est complètement remise à plat, et on + perd la compatibilité. Il faut maintenant utiliser un objet de + \textsl {type plan\/} pour définir une projection. + +\item L'objet \texttt{courbe} utilise maintenant l'argument $r$. Pour +retrouver le comportement précédent, il faut spécifier $r=0$. + +\item L'option \verb+resolution+ de l'objet \verb+courbe+ est + remplacée par l'option \verb+ngrid+ + +\item Suppression des arguments \verb+tracelignedeniveau+ et + associés. + +\end {itemize} + +\subsection {Changements par rapport à la version 2.0} + +\begin {itemize} + +\item L'option \verb+hue+ n'est plus un booléen. + +\item La gestion de l'échelle en postscript se fait désormais avec le + mécanisme jps. Pour se déplacer à l'échelle, les commandes +\verb+smoveto+, +\verb+srmoveto+, +\verb+slineto+, +\verb+srlineto+ +remplacent les commandes respectives +\verb+moveto+, +\verb+rmoveto+, +\verb+lineto+, +\verb+rlineto+. + +\end {itemize} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-choixpointdevue.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-choixpointdevue.tex new file mode 100644 index 00000000000..f0812aa59d3 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-choixpointdevue.tex @@ -0,0 +1,93 @@ +\section {Choix du point de vue} +\begin{center} +\psset{lightsrc=10 20 30,viewpoint=50 30 20 rtp2xyz} +\begin{pspicture}(-5,-5.7)(10,7) +\definecolor{bleuciel}{rgb}{0.78,0.84,0.99} +\psSolid[object=cube,fillcolor=bleuciel,a=2,action=draw*]%% +%\psSolid[object=cubemaillage,fillcolor=bleuciel,a=2]%% +\psSolid[object=grille,base=0 8 0 10,action=draw]%% +\psSolid[object=grille,base=0 7 0 10,action=draw,RotY=90](0,0,7)% +\psSolid[object=grille,base=0 8 0 7,action=draw,RotX=-90](0,0,7)% +\psSolid[object=cube,fillcolor=bleuciel,a=1,action=draw*](0.5,0.5,0.5)% +\psSolid[object=grille,base=-1 1 -1 1,action=draw,linecolor=blue](0,0,1)% +\psSolid[object=grille,base=-1 1 -1 1,action=draw,RotY=90,linecolor=blue](1,0,0)% +\psSolid[object=grille,base=-1 1 -1 1,action=draw,RotX=-90,linecolor=blue](0,1,0)% +\axesIIID(1,1,1)(8,10,7) +\pstVerb{/dV 12 def % distance V + /dE 6 def % distance écran + /Kc dV dE sub dV div def + /Theta 60 def + /Phi 30 def + /xV dV Phi cos mul Theta cos mul def + /yV dV Phi cos mul Theta sin mul def + /zV dV Phi sin mul def + /xE Kc xV mul def + /yE Kc yV mul def + /zE Kc zV mul def + }% +\psPoint(xV,yV,zV){V} +\psPoint(xE,yE,zE){E} +\psPoint(xV,yV,0){Vp} +% 5 distance écran +%\psPoint(dE Theta cos mul Phi cos div dE Theta sin mul Phi cos div 0){Vq} +\psPoint(xV,0,0){Vx} +\psPoint(0,yV,0){Vy} +\psPoint(0,0,zV){Vz} +\psdot(V) +{\psset{linestyle=dashed,linecolor=red} +\psline(V)(Vp)\psline(Vx)(Vp)\psline(Vy)(Vp)\psline(V)(Vz)\psline(V)(O)\psline(Vp)(O)} +\psSolid[object=grille,base=-5 5 -3 3,action=draw,RotX=-60,linecolor=red](xE,yE,zE)% +\psTransformPoint[RotX=-60](-5 -3 0)(xE,yE,zE){A} +\psTransformPoint[RotX=-60](-5 3 0)(xE,yE,zE){B} +\psTransformPoint[RotX=-60](5 3 0)(xE,yE,zE){C} +\psTransformPoint[RotX=-60](5 -3 0)(xE,yE,zE){D} +\pspolygon[fillstyle=vlines,hatchcolor=yellow!50,hatchwidth=0.02,hatchsep=0.04](A)(B)(C)(D) +\PointEcran(1,1,1){S1} +\psPoint(1,1,1){s1} +\psline(s1)(S1)(V) +% +\PointEcran(1,1,-1){S2} +\psPoint(1,1,-1){s2} +\psline(s2)(S2)(V) +% +\PointEcran(-1,1,-1){S3} +\psPoint(-1,1,-1){s3} +\psline(s3)(S3)(V) +% +\PointEcran(-1,1,1){S4} +\psPoint(-1,1,1){s4} +\psline(s4)(S4)(V) +% +\PointEcran(1,-1,-1){S5} +\psPoint(1,-1,-1){s5} +\psline(s5)(S5)(V) +% +\PointEcran(1,-1,1){S6} +\psPoint(1,-1,1){s6} +\psline(s6)(S6)(V) +% +\PointEcran(-1,-1,1){S7} +\psPoint(-1,-1,1){s7} +\psline(s7)(S7)(V) +% +\psset{linecolor=red,fillstyle=vlines,hatchsep=0.04,hatchwidth=0.02} +\pspolygon[hatchcolor=red!60](S1)(S2)(S3)(S4) +\pspolygon[,hatchcolor=red!60](S1)(S2)(S5)(S6) +\pspolygon[hatchcolor=red!10](S1)(S4)(S7)(S6) +\psdots(s1)(s2)(s3)(s4)(s5)(s6)(s7)(S1)(S2)(S3)(S4)(S5)(S6)(S7) +% +\uput[45](V){$V$} +\end{pspicture} +\end{center} + +Les coordonnées de l'objet, ici le cube bleuté, sont données dans le +repère $Oxyz$. Les coordonnées du point de vue ($V$), sont données +dans ce même repère, soit en coordonnées cartésiennes qui +est l'option par défaut, soit en coordonnées sphériques en ajoutant +l'opérateur \Cadre{[rtp2xyz]}, + +Exemple : \Cadre{[viewpoint=50 30 20 rtp2xyz]} + +L'écran est placé perpendiculairement à la direction $OV$, à une +distance de $V$ : \Cadre{[Decran=50]} (valeur par défaut), cette +valeur peut être positive ou négative. diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-codejps.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-codejps.tex new file mode 100644 index 00000000000..35b5b08b0bc --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-codejps.tex @@ -0,0 +1,44 @@ +\section {Le code jps} + +Nous appelons \textsl {code jps\/} tout code postscript utilisant la +bibliothèque développée pour le logiciel \textsl {jps2ps}. + +Le fichier \verb+solides.pro+ du package \verb+solides3d+ +est essentiellement constitué d'éléments en provenance de cette +bibliothèque, qui contient environ $4\, 500$~fonctions et +procédures. + +Son utilisation permet de disposer de commandes adaptées au dessin +mathématique, sans qu'il soit besoin de tout reconstruire à partir des +primitives \verb+moveto+, \verb+lineto+, \verb+curveto+, etc... + +Par exemple, on peut définir une fonction $F$ telle que $F(t) = +(3\cos^3 t, 3\sin^3 t)$, et demander le tracé de la courbe avec la +code jps \texttt{0 360 {F} CourbeR2}. + +Si on veut seulement le chemin de cette courbe, on utilise le code +\verb+0 360 {F} CourbeR2_+, et si on veut le dépot sur la pile des +points de la courbe, on utilise \texttt{0 360 {F} CourbeR2+}. + +Dans chacun des $3$~exemples ci-dessus, le nombre de points est +déterminé par la variable globale \textsl {resolution}. + +Autrement dit, avec la fonction $F$ précitée et une résolution fixée à +36, le code jps +\begin{verbatim} + 0 350 {F} CourbeR2+ +\end{verbatim} +est équivalent au code postscript +\begin{verbatim} + 0 10 350 { + /angle exch def + 3 angle cos 3 exp mul + 3 angle sin 3 exp mul + } for +\end{verbatim} + +Nous n'avons pas encore développé la documentation sur la partie +spécifique de cette bibliothèque embarquée dans le fichier +\verb+solides.pro+. Pour le moment, nous renvoyons le lecteur +intéressé au \textsl {Guide de l'utilisateur de jps2ps\/} disponible +sur le site \url {melusine.eu.org/syracuse/bbgraf}.
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-colorierfacettes.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-colorierfacettes.tex new file mode 100644 index 00000000000..9b1f7e140f3 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-colorierfacettes.tex @@ -0,0 +1,248 @@ +\section {Colorier les facettes une à une} + +L'argument \Cadre{[fcol=% + $i_0$ ($c_0$)~% + $i_1$~($c_1$)~% + \dots + $i_n$~($c_n$)~]}, +où les $i_k$ sont des entiers et les $c_k$ des noms de couleurs, +permet de spécifier la couleur de faces particulières. \` A la face +d'incice $i_k$ correspond la couleur $c_k$. L'entier $n$ doit être +inférieur à l'indice maximum des faces du solide considéré. + + + +%% L'option \texttt{[fcol=1 (OliveGreen) 0 (color1) 4 (color2) etc.]} +%% permet de spécifier dans l'ordre : +%% \begin{itemize} +%% \item le numéro de la facette de \texttt{0} à \texttt{n-1}, pour \texttt{n} facettes ; +%% \item la couleur de la facette. +%% \end{itemize} + +Pour les noms de couleurs $c_k$, il y a $68$~valeurs +prédéfinies (soit tous les noms définis dans le fichier +\verb+color.pro+ au $12$~octobre $2007$). Ces valeurs sont~: +\textsl{GreenYellow}, +\textsl{Yellow}, +\textsl{Goldenrod}, +\textsl{Dandelion}, +\textsl{Apricot}, +\textsl{Peach}, +\textsl{Melon}, +\textsl{YellowOrange}, +\textsl{Orange}, +\textsl{BurntOrange}, +\textsl{Bittersweet}, +\textsl{RedOrange}, +\textsl{Mahogany}, +\textsl{Maroon}, +\textsl{BrickRed}, +\textsl{Red}, +\textsl{OrangeRed}, +\textsl{RubineRed}, +\textsl{WildStrawberry}, +\textsl{Salmon}, +\textsl{CarnationPink}, +\textsl{Magenta}, +\textsl{VioletRed}, +\textsl{Rhodamine}, +\textsl{Mulberry}, +\textsl{RedViolet}, +\textsl{Fuchsia}, +\textsl{Lavender}, +\textsl{Thistle}, +\textsl{Orchid}, +\textsl{DarkOrchid}, +\textsl{Purple}, +\textsl{Plum}, +\textsl{Violet}, +\textsl{RoyalPurple}, +\textsl{BlueViolet}, +\textsl{Periwinkle}, +\textsl{CadetBlue}, +\textsl{CornflowerBlue}, +\textsl{MidnightBlue}, +\textsl{NavyBlue}, +\textsl{RoyalBlue}, +\textsl{Blue}, +\textsl{Cerulean}, +\textsl{Cyan}, +\textsl{ProcessBlue}, +\textsl{SkyBlue}, +\textsl{Turquoise}, +\textsl{TealBlue}, +\textsl{Aquamarine}, +\textsl{BlueGreen}, +\textsl{Emerald}, +\textsl{JungleGreen}, +\textsl{SeaGreen}, +\textsl{Green}, +\textsl{ForestGreen}, +\textsl{PineGreen}, +\textsl{LimeGreen}, +\textsl{YellowGreen}, +\textsl{SpringGreen}, +\textsl{OliveGreen}, +\textsl{RawSienna}, +\textsl{Sepia}, +\textsl{Brown}, +\textsl{Tan}, +\textsl{Gray}, +\textsl{Black}, +\textsl{White}. +La liste de ces $68$ couleurs est disponible dans la commande +\verb+\colorfaces+ (voir exemple d'utilisation dans le paragraphe sur +le maillage du cube). + +\textdbend{} Prévoir dans ce cas que le nombre de faces +$\mathtt{n_1\times n_2}+2\texttt{(faces supérieure et inférieure)}$ +soit plus petit que 68~! + +L'utilisateur peut également définir ses propres couleurs. Il dispose +pour cela de deux méthodes~: + +\begin{itemize} + +\item Il utilise l'un des $4$~arguments optionnels \texttt{[color1]}, + \texttt{[color2]}, \texttt{[color3]}, \texttt{[color4]} de + \verb+\psSolid+, puis il transmet à \verb+fcol+ une paire du type + $i$~\verb+(color1)+ où $i$ est l'indice de la face considérée. Les + arguments \texttt{[color1]}, etc\dots s'utilisent de la même façon + que les arguments \texttt{color} et \texttt{incolor}.\hfill \break + Par exemple, la commande suivante est une commande valide~: + \begin{verbatim} + \psSolid[a=1,object=cube,color1=red!60!yellow!20,fcol=0 (color1)]% + \end{verbatim} + + +\item Il définit ses propres noms de couleurs avec la commande + \verb+\pstVerb+ puis utilise ces noms avec l'argument + \texttt{[fcol]}. Par exemple~: +\begin{verbatim} +\pstVerb{/hetre {0.764 0.6 0.204 setrgbcolor} def + /chene {0.568 0.427 0.086 setrgbcolor} def + /cheneclair {0.956 0.921 0.65 setrgbcolor} def + }% +\end{verbatim} +Puis ensuite~: +\begin{verbatim} +fcol=0 (hetre) 1 (chene) 2 (cheneclair) +\end{verbatim} + +\end{itemize} + + +Les $4$~arguments +\verb+color1+, +\verb+color2+, +\verb+color3+, +\verb+color4+ ont des valeurs par défaut~: +\begin{itemize} + \item \textcolor{cyan!50}{color1=cyan!50} + \item \textcolor{magenta!60}{color2=magenta!60} + \item \textcolor{blue!30}{color3=blue!30} + \item \textcolor{red!50}{color4=red!50} +\end{itemize} + +%\newpage + +\begin{multicols}{2} +\setlength{\columnseprule}{1pt} +\psset{unit=0.45} +\psset{Decran=20,viewpoint=10 5 10} +\centerline{ +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[ + fcol=0 (Apricot) 1 (Aquamarine) 2 (Bittersweet) + 3 (ForestGreen) 4 (Goldenrod) + 13 (GreenYellow) + 40 (Mulberry), + object=cube,mode=3 +]% +\end{pspicture}} +\columnbreak +\begin{verbatim} +\psSolid[ + fcol=0 (Apricot) + 1 (Aquamarine) + 2 (Bittersweet) + 3 (ForestGreen) + 4 (Goldenrod) + 13 (GreenYellow) + 40 (Mulberry), + object=cube,mode=3 + ]% +\end{verbatim} +\end{multicols} +\begin{multicols}{2} +\setlength{\columnseprule}{1pt} +\psset{unit=0.45} +\psset{Decran=20,viewpoint=10 5 10} +\centerline{ +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[ + fcol=0 (Apricot) 2 (Lavender) 3 (SkyBlue) 11 (LimeGreen) 12 (OliveGreen) , + object=cylindre, + h=4, + ngrid=4 10, +](0,0,-2) +\end{pspicture}} +\columnbreak +\begin{verbatim} +\psSolid[ + fcol= 0 (Apricot) + 2 (Lavender) + 3 (SkyBlue) + 10 (LimeGreen) + 12 (OliveGreen), + object=cylindre, + h=4, + ngrid=4 10, +](0,0,-2) +\end{verbatim} +\end{multicols} + +Le choix des faces à colorier peut se faire en utilisant un code \texttt{PostScript} : +\begin{verbatim} +fcol=48 {i (Black) i 1 add (LimeGreen) i 2 add (Yellow) /i i 3 add store} repeat +\end{verbatim} +qui va colorier alternativement en noir, en vert et en jaune les facettes. +\begin{center} +\psset{Decran=10,viewpoint=10 10 5,unit=0.8} +\begin{pspicture}(-5,-4)(5,3) +\psframe(-5,-4)(5,3) +\pstVerb{/iface 0 store}% +\psSolid[ +fcol=48 {iface (Black) iface 1 add (LimeGreen) iface 2 add (Yellow) /iface iface 3 add store} repeat, + r1=4,r0=1, + object=tore, + ngrid=8 18, + RotY=30 + ]% +\end{pspicture} +\end{center} +Si l'option \textbf{\texttt{hue}} est activée, les facettes du solide +sont coloriées avec le dégradé de couleurs de l'arc-en-ciel. +%\newpage +\begin{multicols}{2} +\setlength{\columnseprule}{1pt} +\centerline{ +%% +\psset{unit=0.5} +%% +\begin{pspicture}(-6,-5)(6,5) +\psframe(-6,-5)(6,5) +\psset[pst-solides3d]{viewpoint=50 50 50,Decran=86,lightsrc=50 20 1e2} +\psSolid[r1=5,r0=1,object=tore,ngrid=16 18,hue=0 1]% +%\psgrid[subgriddiv=0]% +\end{pspicture}} +\columnbreak +\begin{verbatim} +\psset{viewpoint=50 50 50,Decran=86, + lightsrc=50 20 1e2} +\psSolid[r1=5,r0=1,object=tore, + ngrid=16 18,hue=0 1]% +\end{verbatim} +\end{multicols} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-commandestrace.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-commandestrace.tex new file mode 100644 index 00000000000..7848aaf33da --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-commandestrace.tex @@ -0,0 +1,48 @@ +\section {Commandes de tracé} + +La commande de tracé se fait avec le paramètre \Cadre{action=} dans la +commande \verb+\psSolid+. + +Quatres valeurs sont possibles~: + +\Cadre{[action=none]}~: ne trace rien + +\Cadre{[action=draw]}~: trace le solide en structure fil de fer avec tracé en +pointillé des arêtes cachées + +\Cadre{[action=draw*]}~: trace le solide avec tracé en pointillé des arêtes +cachées et coloration des faces visibles + +\Cadre{[action=draw**]}~: trace le solide avec l'algorithme du peintre, sans les +arêtes cachées et avec coloration des faces visibles. + +Les commandes \verb+draw+ et \verb+draw*+ ne sont pertinentes que pour +les solides convexes. + +\begin{center} +%% +\psset{unit=0.5} +%% +\hfil +\begin{pspicture}(-5,-4.5)(5,4) +\psframe(-5,-4.5)(5,4) +\psset{Decran=20} +\psSolid[object=cube,action=draw,RotZ=20]% +\end{pspicture} +\hfil +%% +\begin{pspicture}(-5,-4.5)(5,4) +\psframe(-5,-4.5)(5,4) +\psset{Decran=20} +\psSolid[object=cube,action=draw*,fillcolor=magenta!20,RotZ=20]% +\end{pspicture} +\hfil +%% +\begin{pspicture}(-5,-4.5)(5,4) +\psframe(-5,-4.5)(5,4) +\psset{Decran=20} +\psSolid[object=cube,fillcolor=magenta!20,RotZ=20]% +\end{pspicture} +\hfil +%% +\end{center} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-composervue.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-composervue.tex new file mode 100644 index 00000000000..b6dbbd8a8fb --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-composervue.tex @@ -0,0 +1,114 @@ +\section {Composer une vue d'un ensemble d'objets avec \texttt{codejps}} + +Le calcul des parties cachées est effectué par les routines du code +\texttt{PostScript} du fichier \texttt{solides.pro}, mais les lignes +de code sont ``encapsulées'' dans un environnement \texttt{pspicture} +grâce à la commande \verb+\codejps{code ps}+. Cette partie est +développée dans le document +\texttt{documentation-fusion-jps.tex(pdf)}. En voici un exemple : + +\begin{minipage}{6cm} +\setlength{\columnseprule}{1pt} +\begin{pspicture}(-3,-4)(3,4) +\psset{lightsrc=100 -50 -10,lightintensity=3,viewpoint=200 20 10 rtp2xyz,Decran=20} +\psframe(-3,-3)(3,3) +{\psset{linewidth=0.5\pslinewidth} +\codejps{ +/Cl {9.02 [18 16] newsphere + {-90 0 0 rotateOpoint3d} solidtransform + dup (Green) outputcolors} def +/Cl1 { Cl {10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl2 { Cl {10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl3 { Cl {-10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl4 { Cl {-10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl5 { Cl {10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cl6 { Cl {10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl7 { Cl {-10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl8 { Cl {-10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cs {8.38 [18 16] newsphere + dup (White) outputcolors} def +% +/Cl12{ Cl1 Cl2 solidfuz} def +/Cl123{ Cl12 Cl3 solidfuz} def +/Cl1234{ Cl123 Cl4 solidfuz} def +/Cl12345{ Cl1234 Cl5 solidfuz} def +/Cl123456{ Cl12345 Cl6 solidfuz} def +/Cl1234567{ Cl123456 Cl7 solidfuz} def +/Cl12345678{ Cl1234567 Cl8 solidfuz} def +/C_Cs { Cl12345678 Cs solidfuz} def +C_Cs drawsolid**}}% +%\psSolid[object=cube,a=20.5,action=draw,linestyle=dashed]% +\psPoint(0,0,0){P} +\psPoint(10.25,10.25,10.25){Cl1} +\psPoint(10.25,-10.25,10.25){Cl2} +\psPoint(-10.25,-10.25,10.25){Cl3} +\psPoint(-10.25,10.25,10.25){Cl4} +\psPoint(10.25,10.25,-10.25){Cl5} +\psPoint(10.25,-10.25,-10.25){Cl6} +\psPoint(-10.25,-10.25,-10.25){Cl7} +\psPoint(-10.25,10.25,-10.25){Cl8} +\pspolygon[linestyle=dashed](Cl1)(Cl2)(Cl3)(Cl4) +\pspolygon[linestyle=dashed](Cl5)(Cl6)(Cl7)(Cl8) +\psline[linestyle=dashed](Cl2)(Cl6) +\psline[linestyle=dashed](Cl3)(Cl7) +\psline[linestyle=dashed](Cl1)(Cl5) +\psline[linestyle=dashed](Cl4)(Cl8) +\pcline[offset=0.5]{<->}(Cl2)(Cl1) +\aput{:U}{a} +\pcline[offset=0.5]{<->}(Cl6)(Cl2) +\aput{:U}{a} +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{14cm} +\footnotesize +\begin{verbatim} +\codejps{ +/Cl {9.02 [12 8] newsphere + {-90 0 0 rotateOpoint3d} solidtransform + dup (Green) outputcolors} def +/Cl1 { Cl {10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl2 { Cl {10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl3 { Cl {-10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl4 { Cl {-10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl5 { Cl {10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cl6 { Cl {10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl7 { Cl {-10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl8 { Cl {-10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cs {8.38 [12 8] newsphere + dup (White) outputcolors} def +/Cl12{ Cl1 Cl2 solidfuz} def +/Cl123{ Cl12 Cl3 solidfuz} def +/Cl1234{ Cl123 Cl4 solidfuz} def +/Cl12345{ Cl1234 Cl5 solidfuz} def +/Cl123456{ Cl12345 Cl6 solidfuz} def +/Cl1234567{ Cl123456 Cl7 solidfuz} def +/Cl12345678{ Cl1234567 Cl8 solidfuz} def +/C_Cs { Cl12345678 Cs solidfuz} def +C_Cs drawsolid**} +\end{verbatim} +\end{minipage} + +On définit l'ion chlorure $\mathrm{Cl^-}$ : +\begin{verbatim} +/Cl {9.02 [12 8] newsphere + {-90 0 0 rotateOpoint3d} solidtransform + dup (Green) outputcolors} def +\end{verbatim} +que l'on recopie aux sommets du cube : +\begin{verbatim} +/Cl1 { Cl {10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl2 { Cl {10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl3 { Cl {-10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl4 { Cl {-10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl5 { Cl {10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cl6 { Cl {10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl7 { Cl {-10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl8 { Cl {-10.25 10.25 -10.25 translatepoint3d} solidtransform } def +\end{verbatim} +Puis l'ion césium $\mathrm{Cs^+}$, placé au centre : +\begin{verbatim} +/Cs {8.38 [12 8] newsphere + dup (White) outputcolors} def +\end{verbatim} +Ensuite on fusionne deux par deux les différentes sphères. diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-constitution.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-constitution.tex new file mode 100644 index 00000000000..936a44990d9 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-constitution.tex @@ -0,0 +1,19 @@ +\section {Constitution du package -- Distribution} + +\begin{itemize} +\item Fichiers \texttt{pst-solides3d.sty}, \texttt{pst-solides3d.tex} et +\texttt{solides.pro}. +\item Documentation et exemples : +\texttt{pst-solides3d-doc.tex(pdf)}. +\end{itemize} + + +Ce package est disponible à l'url +\url{http://syracuse.eu.org/syracuse/pstricks/pst-solides3d/} + +De nombreux exemples sont publiés ici~: +\url{http://syracuse.eu.org/lab/bpst/pst-solides3d} + +Et enfin, la version de développement est disponible sur le svn de +mélusine~: +\url{http://syracuse-dev.org/pst-solides3d} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-couleurs.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-couleurs.tex new file mode 100644 index 00000000000..6720b8b054b --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-couleurs.tex @@ -0,0 +1,660 @@ +\section {Les couleurs et les dégradés de couleur} + +L'argument \Cadre{[fillcolor=$name$]} permet de spécifier la couleur +souhaitée pour les faces externes d'un solide. L'argument +\Cadre{[incolor=$name$]} permet de spécifier la couleur souhaitée +pour les faces internes d'un solide. + +Les valeurs possibles pour \textsl{name\/} sont toutes celles reconnues +par PSTricks (et en particulier son package \texttt{xcolor}). + +\subsection {Couleurs pr\'{e}d\'{e}finies par l'option [\texttt{dvipsnames}]} + +Il y a $68$~couleurs prédéfinies, qui sont identifiées dans le fichier +\textsl {solides.pro}~: \textsl {Black}, \textsl {White}, et les +$66$~couleurs ci-dessous. + +\bgroup\centering +\newcommand{\colorcube}[1]{% +\begin{pspicture}(-1.2,-1)(1.2,1) +\psframe(-1.2,-1)(1.2,1) +\psSolid[object=datfile, + file=cubecolor, + linewidth=0.07\pslinewidth, + linecolor=#1!50, + fillcolor=#1, + action=draw**] +\rput(0,-0.75){\footnotesize \texttt{#1}} +\end{pspicture} +} + +\parindent0pt +%\parskip-8pt +\colorcube{GreenYellow} +\colorcube{Yellow} +\colorcube{Goldenrod} +\colorcube{Dandelion} +\colorcube{Apricot} +\colorcube{Peach} + +\colorcube{Melon} +\colorcube{YellowOrange} +\colorcube{Orange} +\colorcube{BurntOrange} +\colorcube{Bittersweet} +\colorcube{RedOrange} + +\colorcube{Mahogany} +\colorcube{Maroon} +\colorcube{BrickRed} +\colorcube{Red} +\colorcube{OrangeRed} +\colorcube{RubineRed} + +\colorcube{WildStrawberry} +\colorcube{Salmon} +\colorcube{CarnationPink} +\colorcube{Magenta} +\colorcube{VioletRed} +\colorcube{Rhodamine} + +\colorcube{Mulberry} +\colorcube{RedViolet} +\colorcube{Fuchsia} +\colorcube{Lavender} +\colorcube{Thistle} +\colorcube{Orchid} + +\colorcube{DarkOrchid} +\colorcube{Purple} +\colorcube{Plum} +\colorcube{Violet} +\colorcube{RoyalPurple} +\colorcube{BlueViolet} + +\colorcube{Periwinkle} +\colorcube{CadetBlue} +\colorcube{CornflowerBlue} +\colorcube{MidnightBlue} +\colorcube{NavyBlue} +\colorcube{RoyalBlue} + +\colorcube{Blue} +\colorcube{Cerulean} +\colorcube{Cyan} +\colorcube{ProcessBlue} +\colorcube{SkyBlue} +\colorcube{Turquoise} + +\colorcube{TealBlue} +\colorcube{Aquamarine} +\colorcube{BlueGreen} +\colorcube{Emerald} +\colorcube{JungleGreen} +\colorcube{SeaGreen} + +\colorcube{Green} +\colorcube{ForestGreen} +\colorcube{PineGreen} +\colorcube{LimeGreen} +\colorcube{YellowGreen} +\colorcube{SpringGreen} + +\colorcube{OliveGreen} +\colorcube{RawSienna} +\colorcube{Sepia} +\colorcube{Brown} +\colorcube{Tan} +\colorcube{Gray} + +\egroup + +\subsection {Couleurs pr\'{e}d\'{e}finies par l'option [\texttt{svgnames}]} + +Les couleurs suivantes sont reconnues par pstricks si l'on utilise +l'option [\texttt{svgnames}]. +Par contre, elles ne sont pas identifiées dans le fichier +\textsl {solides.pro}~: on ne peut les utiliser directement dans +l'option [\texttt{fcol}]. + +\bgroup +\newcommand{\colorcone}[1]{% +\begin{pspicture}(-1.2,-1)(1.2,1) +\psframe(-1.2,-1)(1.2,1) +\psSolid[object=cone, + linewidth=0.07\pslinewidth, +% linecolor=#1!50, + fillcolor=#1, + ngrid=4 12, + r=0.2,h=0.37, + action=draw**](0,0,-0.05) +\rput(0,-0.75){\footnotesize \texttt{#1}} +\end{pspicture} +} + + +\parindent0pt +%\parskip-8pt + +Ces couleurs sont propos\'{e}es par le package \texttt{xcolor}. +\bigskip + +{\centering +\colorcone{AliceBlue} +\colorcone{AntiqueWhite} +\colorcone{Aqua} +\colorcone{Aquamarine} +\colorcone{Azure} +\colorcone{Beige} + +\colorcone{Bisque} +\colorcone{Black} +\colorcone{BlanchedAlmond} +\colorcone{Blue} +\colorcone{BlueViolet} +\colorcone{Brown} + +\colorcone{BurlyWood} +\colorcone{CadetBlue} +\colorcone{Chartreuse} +\colorcone{Chocolate} +\colorcone{Coral} +\colorcone{CornflowerBlue} + +\colorcone{Cornsilk} +\colorcone{Crimson} +\colorcone{Cyan} +\colorcone{DarkBlue} +\colorcone{DarkCyan} +\colorcone{DarkGoldenrod} + +\colorcone{DarkGray} +\colorcone{DarkGreen} +\colorcone{DarkGrey} +\colorcone{DarkKhaki} +\colorcone{DarkMagenta} +\colorcone{DarkOliveGreen} + +\colorcone{DarkOrange} +\colorcone{DarkOrchid} +\colorcone{DarkRed} +\colorcone{DarkSalmon} +\colorcone{DarkSeaGreen} +\colorcone{DarkSlateBlue} + +\colorcone{DarkSlateGray} +\colorcone{DarkSlateGrey} +\colorcone{DarkTurquoise} +\colorcone{DarkViolet} +\colorcone{DeepPink} +\colorcone{DeepSkyBlue} + +\colorcone{DimGray} +\colorcone{DimGrey} +\colorcone{DodgerBlue} +\colorcone{FireBrick} +\colorcone{FloralWhite} +\colorcone{ForestGreen} + +\colorcone{Fuchsia} +\colorcone{Gainsboro} +\colorcone{GhostWhite} +\colorcone{Gold} +\colorcone{Goldenrod} +\colorcone{Gray} + +\colorcone{Grey} +\colorcone{Green} +\colorcone{GreenYellow} +\colorcone{Honeydew} +\colorcone{HotPink} +\colorcone{IndianRed} + +\colorcone{Indigo} +\colorcone{Ivory} +\colorcone{Khaki} +\colorcone{Lavender} +\colorcone{LavenderBlush} +\colorcone{LawnGreen} + +\colorcone{LemonChiffon} +\colorcone{LightBlue} +\colorcone{LightCoral} +\colorcone{LightCyan} +\colorcone{LightGoldenrodYellow} +\colorcone{LightGray} + +\colorcone{LightGreen} +\colorcone{LightGrey} +\colorcone{LightPink} +\colorcone{LightSalmon} +\colorcone{LightSeaGreen} +\colorcone{LightSkyBlue} + +\colorcone{LightSlateGray} +\colorcone{LightSlateGrey} +\colorcone{LightSteelBlue} +\colorcone{LightYellow} +\colorcone{Lime} +\colorcone{LimeGreen} + +\colorcone{Linen} +\colorcone{Magenta} +\colorcone{Maroon} +\colorcone{MediumAquamarine} +\colorcone{MediumBlue} +\colorcone{MediumOrchid} + +\colorcone{MediumPurple} +\colorcone{MediumSeaGreen} +\colorcone{MediumSlateBlue} +\colorcone{MediumSpringGreen} +\colorcone{MediumTurquoise} +\colorcone{MediumVioletRed} + +\colorcone{MidnightBlue} +\colorcone{MintCream} +\colorcone{MistyRose} +\colorcone{Moccasin} +\colorcone{NavajoWhite} +\colorcone{Navy} + +\colorcone{OldLace} +\colorcone{Olive} +\colorcone{OliveDrab} +\colorcone{Orange} +\colorcone{OrangeRed} +\colorcone{Orchid} + +\colorcone{PaleGoldenrod} +\colorcone{PaleGreen} +\colorcone{PaleTurquoise} +\colorcone{PaleVioletRed} +\colorcone{PapayaWhip} +\colorcone{PeachPuff} + +\colorcone{Peru} +\colorcone{Pink} +\colorcone{Plum} +\colorcone{PowderBlue} +\colorcone{Purple} +\colorcone{Red} + +\colorcone{RosyBrown} +\colorcone{RoyalBlue} +\colorcone{SaddleBrown} +\colorcone{Salmon} +\colorcone{SandyBrown} +\colorcone{SeaGreen} + +\colorcone{Seashell} +\colorcone{Sienna} +\colorcone{Silver} +\colorcone{SkyBlue} +\colorcone{SlateBlue} +\colorcone{SlateGray} + +\colorcone{SlateGrey} +\colorcone{Snow} +\colorcone{SpringGreen} +\colorcone{SteelBlue} +\colorcone{Tan} +\colorcone{Teal} + +\colorcone{Thistle} +\colorcone{Tomato} +\colorcone{Turquoise} +\colorcone{Violet} +\colorcone{Wheat} +\colorcone{White} + +\colorcone{WhiteSmoke} +\colorcone{Yellow} +\colorcone{YellowGreen} + +} +\egroup + +\section {Les dégradés de couleur} + +Pour les dégradés de couleurs, on dispose des options +\Cadre{[hue]}, \Cadre{[inhue]} et \Cadre{[inouthue]} qui permettent +respectivement de spécifier si le dégradé doit avoir lieu sur les +faces externes, internes, ou toutes. + +Ces dégradés peuvent être dans les espaces HSB, RGB ou CMYK. +C'est le nombre d'arguments de \verb+hue+ (resp. \verb+inhue+, +\verb+inouthue+) qui détermine le cas de figure + +\subsection {Dégradé dans l'espace HSB, saturation et brillance maximales} + +Il y a 2 arguments~: \Cadre{[hue=$h_0$ $h_1$]} où +les nombres $h_0$ et $h_1$ vérifiant $0\leq h_0 < h_1 \leq 1$ +indiquent les bornes du premier paramètre dans l'espace HSB. + +\begin{multicols}{2} +\psset{unit=1} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4,-1.5)(3,1) +\psframe(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 1] +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 1] +\end{verbatim} +\end{multicols} + +\begin{multicols}{2} +\psset{unit=1} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4,-1.5)(3,1) +\psframe(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 .3] +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 .3] +\end{verbatim} +\end{multicols} + +\begin{multicols}{2} +\psset{unit=1} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4,-1.5)(3,1) +\psframe(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=.5 .6] +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=.5 .6] +\end{verbatim} +\end{multicols} + +\subsection {Dégradé dans l'espace HSB, saturation et brillance fixes} + +Il y a 4 arguments~: \Cadre{[hue=$h_0$ $h_1$ $s$ $b$]} où +les nombres $h_0$ et $h_1$ vérifiant $0\leq h_0 < h_1 \leq 1$ +indiquent les bornes du premier paramètre dans l'espace HSB et où $s$ +et $b$ sont les paramètres respectifs \textsl {saturastion} et \textsl +{brillance}. + +\begin{multicols}{2} +\psset{unit=1} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4,-1.5)(3,1) +\psframe(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 1 .8 .7] +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 1 .8 .7] +\end{verbatim} +\end{multicols} + + +\begin{multicols}{2} +\psset{unit=1} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4,-1.5)(3,1) +\psframe(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 1 .5 1] +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 1 .5 1] +\end{verbatim} +\end{multicols} + +\subsection {Dégradé dans l'espace HSB, cas général} + +Il y a 7 arguments~: \Cadre{[hue=$h_0$ $s_0$ $b_0$ $h_1$ $s_1$ +$b_1$ (hsb)]} où les nombres $h_i$, $s_i$ et $b_i$ indiquent les +bornes des paramètre HSB. + +\begin{multicols}{2} +\psset{unit=1} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4,-1.5)(3,1) +\psframe(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 .8 1 1 1 .7 (hsb)] +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=0 .8 1 1 1 .7 (hsb)] +\end{verbatim} +\end{multicols} + +\subsection {Dégradé dans l'espace RGB} + +Il y a 6 arguments~: \Cadre{[hue=$r_0$ $g_0$ $b_0$ $r_1$ $g_1$ +$b_1$]} où les nombres $r_i$, $g_i$ et $b_i$ indiquent les +bornes respectives des $3$ paramètres RGB. + +\begin{multicols}{2} +\psset{unit=1} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4,-1.5)(3,1) +\psframe(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=1 0 0 0 0 1] +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=1 0 0 0 0 1] +\end{verbatim} +\end{multicols} + + +\subsection {Dégradé dans l'espace CMYK} + +Il y a 8 arguments~: \Cadre{[hue=$c_0$ $m_0$ $y_0$ $k_0$ $c_1$ $m_1$ +$y_1$ $k_1$]} où les nombres $c_i$, $m_i$, $y_i$ et $k_i$ indiquent les +bornes respectives des $4$ paramètres CMYK. + +\begin{multicols}{2} +\psset{unit=1} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4,-1.5)(3,1) +\psframe(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=1 0 0 0 0 0 1 0] +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=1 0 0 0 0 0 1 0] +\end{verbatim} +\end{multicols} + +\subsection {Dégradé entre 2 couleurs nommées} + +Il y a deux paramètres +\Cadre{[hue=$str1$ $str2$]} où +$str1$ et $str2$ sont des chaînes de caractères désignant des noms de +couleurs connues dans \verb+solides.pro+. + +\begin{multicols}{2} +\psset{unit=1} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4,-1.5)(3,1) +\psframe(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=(jaune) (CadetBlue)] +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + hue=(jaune) (CadetBlue)] +\end{verbatim} +\end{multicols} + +Si on veut utiliser des couleurs définies par \texttt{xcolor}, on +utilise les paramètres \texttt{color1}, \texttt{color2}, etc... de +\verb+\psSolid+. + +\begin{multicols}{2} +\psset{unit=1} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4,-1.5)(3,1) +\psframe(-4,-1.5)(3,1) +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + color1=red!50, + color2=green!20, + hue=(color1) (color2)] +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + base=-3 5 -3 3, + linecolor=gray, + color1=red!50, + color2=green!20, + hue=(color1) (color2)] +\end{verbatim} +\end{multicols} + +\subsection{Désactiver la gestion des couleurs} + +Pour certaines utilisations spécifiques, on peut avoir besoin de +désactiver la gestion des couleurs. C'est en particulier le cas +lorsque l'on utilise un objet déjà présent en mémoire ou défini dans +des fichiers externes, Dans ces configurations, si on ne désactive pas +la gestion des couleurs et si on n'en définit pas de nouvelles, ce +sont les couleurs par défaut qui vont surcharger celles qui étaient +sauvegardées. + +Pour désactiver cette gestion, on utilise l'option +\Cadre{[deactivatecolor]}. + +\subsection{Exemples d'utilisation des options \texttt{[inhue]} et \texttt{[inouthue]}} + +On rappelle que l'option \texttt{[inhue]} permet de colorier les faces +intérieures, \texttt{[hue]} permet de colorier les faces extérieures +et \texttt{[inouthue]} peindra dans la continuité faces intérieurs et +intérieures. + +On rappelle que pour voir les faces intérieures il faut activer +l'option \texttt{hollow}, comme dans les deux exemples suivants. + +\begin{LTXexample}[width=6cm] +\psset{lightsrc=45 15 20, + viewpoint=50 20 20 rtp2xyz,Decran=50} +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=cube, + a=3,ngrid=3, + hollow, + inouthue=0 1 0.5 1, + rm=36 1 44 {} for]% +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=6.5cm] +\psset{unit=0.5} +\psset{lightsrc=30 30 25} +\psset{viewpoint=50 40 30 rtp2xyz,Decran=50} +\begin{pspicture}(-6,-8)(7,8) +\psSurface[ngrid=.25 .25,inouthue=1 0 0.5 1, + linewidth=0.5\pslinewidth,axesboxed, + algebraic](-4,-4)(4,4){% + ((y^2)-(x^2))/4 } +\end{pspicture} +\end{LTXexample} + +Pour colorier avec les paramètres de \texttt{[hue]} les faces +intérieures et extérieures on utilisera l'option \texttt{[hue]} pour +l'extérieur et l'option \texttt{[inhue]} pour l'intérieur, comme dans +l'exemple suivant : + +\begin{LTXexample}[width=8.5cm] +\psset{unit=0.5} +\begin{pspicture}(-7,-7)(10,12) +\psframe(-7,-7)(10,12) +\psset[pst-solides3d]{viewpoint=20 5 10, + Decran=50,lightsrc=20 10 5} +\psSolid[object=grille,base=-2 2 -2 2, + linecolor=white](0,0,-2) + % Parametric Surfaces +\defFunction{cone}(u,v) + {u v Cos mul}{u v Sin mul}{u} +\psSolid[object=surfaceparametree, + base=-2 2 0 2 pi mul, + inhue=0.8 0.2,hue=0.8 0.2, + function=cone,linewidth=0.5\pslinewidth, + ngrid=25 40]% +\gridIIID[Zmin=-2,Zmax=2](-2,2)(-2,2) +\end{pspicture} +\end{LTXexample} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-courbeR3.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-courbeR3.tex new file mode 100644 index 00000000000..f4eb5d768f7 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-courbeR3.tex @@ -0,0 +1,202 @@ +\section {Courbes de fonctions de $R$ vers $R^3$} + +%% \section{Fonctions R --> R\textsuperscript{3}} + +Le tracé de la fonction ainsi définie fait appel à l'objet +\Cadre{courbe} et à l'option \Cadre{function}. + +On pourra réaliser le tracé de l'hélice : + +%% \[ +%% \left\{ +%% \begin{array}{lcl} +%% x&=&3\cos(4t)\\ +%% y&=&3\sin(4t)\\ +%% z&=&t +%% \end{array} +%% \right. +%% \] +en notation algébrique avec la fonction : + +%%\begin{boxedverbatim} +\begin{verbatim} +\defFunction[algebraic]{helice}(t){3*cos(4*t)}{3*sin(4*t)}{t} +\end{verbatim} +%%\end{boxedverbatim} + +%\defFunction[algebraic]{f}(t){t}{(t^2)/10-1}{} +\begin{minipage}{0.4\linewidth} +\psset{unit=0.5} +\psset{lightsrc=10 -20 50,viewpoint=50 -20 20 rtp2xyz,Decran=50} +\begin{pspicture}(-6,-3)(6,8) +\psframe*[linecolor=blue!50](-6,-3)(6,8) +\psSolid[object=grille,base=-4 4 -4 4,linecolor=red,linewidth=0.5\pslinewidth]% +\axesIIID(0,0,0)(4,4,7) +\defFunction[algebraic]{helice}(t){3*cos(4*t)}{3*sin(4*t)}{t} +\psSolid[object=courbe, + r=0, + range=0 6, + linecolor=blue,linewidth=0.1, + resolution=360, + function=helice]% +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{0.55\linewidth} +%%\begin{boxedverbatim} +\begin{verbatim} +\defFunction[algebraic]% + {helice}(t){cos(3*t)}{sin(3*t)}{t} +\psSolid[object=courbe, + range=0 6, + r=0, + linecolor=blue, + resolution=360, + function=helice]% +\end{verbatim} +%%\end{boxedverbatim} +\end{minipage} + +\begin{minipage}{0.4\linewidth} +\psset{unit=0.5} +\begin{pspicture}(-6,-3)(6,8) +\psframe*[linecolor=blue!50](-6,-3)(6,8) +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\psSolid[object=grille,base=-4 4 -4 4,linecolor=red,linewidth=0.5\pslinewidth]% +\axesIIID(0,0,0)(4,4,7) +\psset{range=-4 4} +\defFunction{CosRad}(t){t 2 mul Cos 4 mul}{t}{0} +\psSolid[object=courbe,linewidth=0.1, + r=0, + linecolor=red, + resolution=360, + function=CosRad]% +\psSolid[object=grille,base=-4 4 -4 4,linecolor=blue,linewidth=0.5\pslinewidth](0,0,3) +\psPoint(0,0,3){O1}\psPoint(0,0,7){Z1}\psline(O1)(Z1)\psline[linestyle=dashed](O1)(O) +\pstVerb{/tmin -4 def /tmax 4 def}% +\defFunction{sinRad}(t){t}{t Sin 3 mul}{3} +\psSolid[object=courbe,linewidth=0.1, + r=0, + linecolor=blue, + resolution=30, + function=sinRad]% +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{0.55\linewidth} +%%\begin{boxedverbatim} +\begin{verbatim} +\psset{range=-4 4} +\psSolid[object=grille,base=-4 4 -4 4]% +\defFunction{CosRad}(t){t 2 mul Cos 4 mul}{t}{0} +\psSolid[object=courbe,linewidth=0.1, + r=0, + linecolor=red, + resolution=360, + function=CosRad]% +\defFunction{sinRad}(t){t}{t Sin 3 mul}{3} +\psSolid[object=grille,base=-4 4 -4 4](0,0,3) +\psSolid[object=courbe, + r=0, + linecolor=blue, + resolution=360, + function=sinRad] +\end{verbatim} +%%\end{boxedverbatim} +\end{minipage} + +\begin{minipage}{0.4\linewidth} +\psset{unit=0.5} +\begin{pspicture}(-5,0)(7,9) +\psset{lightsrc=10 -20 50,viewpoint=50 -20 20 rtp2xyz,Decran=50} +\psSolid[object=grille,base=-4 4 -4 4,linecolor=lightgray,linewidth=0.5\pslinewidth]% +\psSolid[object=grille,base=-4 4 0 8,linecolor=lightgray,RotX=90,linewidth=0.5\pslinewidth](0,4,0) +\psSolid[object=grille,base=-4 4 -4 4,linecolor=lightgray,RotY=90,linewidth=0.5\pslinewidth](-4,0,4) +\defFunction[algebraic]{helice}% +(t){1.3*(1-cos(2.5*t))*cos(6*t)}{1.3*(1-cos(2.5*t))*sin(6*t)}{t} +\defFunction[algebraic]{helice_xy}(t){1.3*(1-cos(2.5*t))*cos(6*t)}{1.3*(1-cos(2.5*t))*sin(6*t)}{0} +\defFunction[algebraic]{helice_xz}(t){1.3*(1-cos(2.5*t))*cos(6*t)}{4}{t} +\defFunction[algebraic]{helice_yz}(t){-4}{1.3*(1-cos(2.5*t))*sin(6*t)}{t} +\psset{range=0 8} +\psSolid[object=courbe, + r=0, + linecolor=blue, + linewidth=0.05, + resolution=360, + normal=0 0 1, + function=helice_xy]% +\psSolid[object=courbe, + r=0, + linecolor=green, + linewidth=0.05, + resolution=360, + normal=0 0 1, + function=helice_xz]% +\psSolid[object=courbe, + r=0, + linewidth=0.05, + resolution=360, + normal=0 0 1, + function=helice_yz]% +\psSolid[object=courbe, + r=0, + linecolor=red, + linewidth=0.1, + resolution=360, + function=helice]% + \end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{0.55\linewidth} +\footnotesize +%%\begin{boxedverbatim} +\begin{verbatim} +\psSolid[object=grille,base=-4 4 -4 4]% +\psSolid[object=grille,base=-4 4 0 8](0,4,0) +\psSolid[object=grille,base=-4 4 -4 4](-4,0,4) +\defFunction[algebraic]{helice}% + (t){1.3*(1-cos(2.5*t))*cos(6*t)} + {1.3*(1-cos(2.5*t))*sin(6*t)}{t} +\defFunction[algebraic]{helice_xy}% + (t){1.3*(1-cos(2.5*t))*cos(6*t)} + {1.3*(1-cos(2.5*t))*sin(6*t)}{0} +\defFunction[algebraic]{helice_xz}% + (t){1.3*(1-cos(2.5*t))*cos(6*t)}{4}{t} +\defFunction[algebraic]{helice_yz}% + (t){-4}{1.3*(1-cos(2.5*t))*sin(6*t)}{t} +\psset{range=0 8} +\psSolid[object=courbe, + r=0, + linecolor=blue, + linewidth=0.05, + resolution=360, + normal=0 0 1, + function=helice_xy]% +\psSolid[object=courbe, + r=0, + linecolor=green, + linewidth=0.05, + resolution=360, + normal=0 0 1, + function=helice_xz]% +\psSolid[object=courbe, + r=0, + linewidth=0.05, + resolution=360, + normal=0 0 1, + function=helice_yz]% +\psSolid[object=courbe, + r=0, + linecolor=red, + linewidth=0.1, + resolution=360, + function=helice]% +\end{verbatim} +%%\end{boxedverbatim} +\end{minipage} + +Ces dernières courbes se trouvent sous forme d'animations sur la page : + +\centerline{\url{http://melusine.eu.org/syracuse/pstricks/pst-solides3d/animations/}} + + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-cylindres-cones.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-cylindres-cones.tex new file mode 100644 index 00000000000..03e82106bd1 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-cylindres-cones.tex @@ -0,0 +1,326 @@ +\section{Généralisation de la notion de cylindre et de cône} +\subsection{Cylindre ou nappe cylindrique quelconque} +Cette partie généralise la notion de cylindre, ou de nappe cylindrique\footnote{Cette partie a été écrite à l'initiative de +Maxime Chupin, suite à une question sur la liste de diffusion de \url{http://melusine.eu.org/cgi-bin/mailman/listinfo/syracuse}}. Il faut définir une courbe \textit{directrice} par une fonction et la direction de l'axe du \textit{cylindre}. Dans l'exemple ci-dessous la directrice est une sinusoïde, située dans le plan $z=-2$~: +\begin{gbar} + \begin{verbatim} +\defFunction[algebraic]{G1}(t){t}{2*sin(t)}{-2} + \end{verbatim} +\end{gbar} +La direction du cylindre est définie par les coordonnées d'un vecteur dans le paramètre \Cadre{axe=0 1 1}. Le dessin fait appel à \Cadre{object=cylindre} qui en plus de ses paramètres usuels dont la hauteur \Cadre{h=4} -- il s'agit de la \textbf{longueur de la génératrice} et non de la distance entre les deux plans passant par les bases, est affecté de ceux définissant la directrice \Cadre{function=G1} et la plage de la variable $t$ \Cadre{range=-3 3}. +\begin{gbar} + \begin{verbatim} +\psSolid[object=cylindre, + h=4,function=G1, + range=-3 3, + ngrid=3 16, + axe=0 1 1, + incolor=green!50, + fillcolor=yellow!50] + \end{verbatim} +\end{gbar} + +\begin{center} +\psset{unit=0.75} +\begin{pspicture}(-5,-4)(5,4) +\psset{lightsrc=viewpoint,viewpoint=100 10 20 rtp2xyz,Decran=100} +\psSolid[object=grille,base=-4 4 -6 6,linecolor={[rgb]{0.72 0.72 0.5}},action=draw](0,0,-2) +\defFunction[algebraic]{G1}(t){t}{2*sin(t)}{-2} +\defFunction[algebraic]{G2}(t){t}{2*sin(t)+4}{2} +\psSolid[object=courbe,function=G1, + range=-3 3,r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=cylindre, + h=5.65685,function=G1, + range=-3 3, + ngrid=3 16, + axe=0 1 1, + incolor=green!50, + fillcolor=yellow!50] +\psSolid[object=courbe,function=G2, + range=-3 3,r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=parallelepiped, + a=8,b=12,c=4,action=draw](0,0,0) +\psSolid[object=plan,action=draw, + definition=equation, + args={[0 0 1 -2] 90}, + base=-6 6 -4 4,planmarks,showBase] +\psSolid[object=plan,action=draw, + definition=equation, + args={[0 1 0 -6] 180}, + base=-4 4 -2 2,planmarks,showBase] +\psSolid[object=plan,action=draw, + definition=equation, + args={[1 0 0 -4] 90}, + base=-6 6 -2 2,planmarks,showBase] +\psSolid[object=vecteur, + linecolor=red, + args=0 3 3] +\end{pspicture} +\end{center} + +Dans cet exemple suivant, afin de représenter les deux plans horizontaux passant par les bases, on fait le calcul de la distance entre ces deux plans. +\begin{gbar} + \begin{verbatim} +\pstVerb{/ladistance 2 sqrt 2 mul def} + \end{verbatim} +\end{gbar} +{\psset{unit=0.75,lightsrc=viewpoint,viewpoint=100 -10 20 rtp2xyz,Decran=100} +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-1.5,-3)(6.5,6) +\psSolid[object=grille,base=-3 3 -1 8,action=draw] +\pstVerb{/ladistance 2 sqrt 2 mul def} +\defFunction[algebraic]{G3}(t) + {6*(cos(t))^3*sin(t)} + {4*(cos(t))^2} + {0} +\defFunction[algebraic]{G4}(t) + {6*(cos(t))^3*sin(t)} + {4*(cos(t))^2+ladistance} + {ladistance} +\psSolid[object=courbe,function=G3, + range=0 6.28,r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=cylindre, + range=0 -6.28, + h=4, + function=G3, + axe=0 1 1, + ngrid=3 36, + fillcolor=green!50, + incolor=yellow!50] +\psSolid[object=courbe,function=G4, + range=0 6.28,r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=vecteur, + linecolor=red, + args=0 ladistance dup] +\psSolid[object=plan,action=draw, + definition=equation, + args={[0 0 1 ladistance neg] 90}, + base=-1 8 -3 3,planmarks,showBase] +\axesIIID(0,4.5,0)(4,8,5) +\rput(0,-3){\texttt{axe=0 1 1}} +\end{pspicture} +\end{LTXexample}} + + +{\psset{unit=0.75,lightsrc=viewpoint,viewpoint=100 -10 20 rtp2xyz,Decran=100} +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-1.5,-3)(6.5,6) +\psSolid[object=grille,base=-3 3 -1 6,action=draw] +\defFunction[algebraic]{G5}(t) + {t}{0.5*t^2}{0} +\defFunction[algebraic]{G6}(t) + {t}{0.5*t^2}{4} +\psSolid[object=courbe,function=G5, + range=-3 2,r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=cylindre, + range=-3 2, + h=4, + function=G5, + axe=0 0 1, %% valeur par défaut + incolor=green!50, + fillcolor=yellow!50, + ngrid=3 8] +\psSolid[object=courbe,function=G6, + range=-3 2,r=0, + linecolor=blue, + linewidth=2pt] +\axesIIID(0,4.5,0)(4,6,5) +\psSolid[object=vecteur, + linecolor=red, + args=0 0 4] +\psSolid[object=plan,action=draw, + definition=equation, + args={[0 0 1 -4] 90}, + base=-1 6 -3 3,planmarks,showBase] +\end{pspicture} +\end{LTXexample}} + +{\psset{unit=0.75,lightsrc=viewpoint,viewpoint=100 -10 20 rtp2xyz,Decran=100} +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-1.5,-3)(6.5,6) +\psset{lightsrc=viewpoint,viewpoint=100 45 45,Decran=100} +\psSolid[object=grille,base=-3 3 -2 7,fillcolor=gray!30] +\defFunction[algebraic]{G7}(t) + {2*cos(t)}{2*sin(t)}{0} +\defFunction[algebraic]{G8}(t) + {2*cos(t)}{2*sin(t)+4}{4} +\psSolid[object=courbe,function=G7, + range=0 6.28,r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=cylindre, + range=0 6.28, + h=5.65685, + function=G7, + axe=0 1 1, + incolor=green!20, + fillcolor=yellow!50, + ngrid=3 36] +\psSolid[object=courbe,function=G8, + range=0 6.28,r=0, + linecolor=blue, + linewidth=2pt] +\axesIIID(2,4.5,2)(4,8,5) +\psSolid[object=vecteur, + linecolor=red, + args=0 1 1](0,4,4) +\psSolid[object=plan,action=draw, + definition=equation, + args={[0 0 1 -4] 90}, + base=-2 7 -3 3,planmarks,showBase] +\end{pspicture} +\end{LTXexample}} + + +\encadre{La directrice peut être une courbe quelconque et n'est pas obligatoirement une courbe plane et horizontale.} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-1.5,-4)(4,6) +\psset{unit=0.75,lightsrc=viewpoint,viewpoint=100 -5 10 rtp2xyz,Decran=100} +\psSolid[object=grille,base=-4 4 -4 4,ngrid=8. 8.](0,0,-1) +\defFunction[algebraic]{G9}(t) + {3*cos(t)} + {3*sin(t)} + {1*cos(5*t)} +\psSolid[object=cylindre, + range=0 6.28, + h=5, + function=G9, + axe=0 0 1, + incolor=green!50, + fillcolor=yellow!50, + ngrid=4 72,grid] +\end{pspicture} +\end{LTXexample} + +\subsection{Cône ou nappe conique quelconque} +Cette partie généralise la notion de cône et de nappe conique\footnote{Cette partie, comme la précédente, a été écrite à l'initiative de +Maxime Chupin, suite à une question sur la liste de diffusion de \url{http://melusine.eu.org/cgi-bin/mailman/listinfo/syracuse}}. Il faut définir une courbe \textit{directrice} par une fonction qui dessinera la base du cône, puis le sommet du \textit{cône} qui par défaut est \Cadre{origine=0 0 0}. Les parties supérieure et inférieure du cône sont symétriques par rapport au sommet. Dans l'exemple ci-dessous la directrice est un arc de parabole, situé dans le plan $z=-2$. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4.5,5) +\psset{lightsrc=viewpoint,viewpoint=100 10 10 rtp2xyz,Decran=100} +\psSolid[object=grille,base=-4 4 -3 3,action=draw](0,0,-2) +\defFunction[algebraic]{G1}(t) + {t} + {0.25*t^2} + {-2} +\defFunction[algebraic]{G2}(t) + {-t} + {-0.25*t^2} + {2} +\psSolid[object=courbe, + function=G1, + range=-3.46 3, + r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=cone, + function=G1, + range=-3.46 3, + ngrid=3 16, + incolor=green!50, + fillcolor=yellow!50, + origine=0 0 0] +\psSolid[object=courbe, + function=G2, + range=-3.46 3, + r=0, + linecolor=blue, + linewidth=2pt] +\psPoint(0,0,0){I} +\uput[l](I){\red$(0,0,0)$} +\psdot[linecolor=red](I) +\gridIIID[Zmin=-2,Zmax=2,spotX=r](-4,4)(-3,3) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4.5,5) +\psset{lightsrc=viewpoint,viewpoint=100 -10 20 rtp2xyz,Decran=100} +\psSolid[object=grille,base=-4 4 -3 3,linecolor={[rgb]{0.72 0.72 0.5}},action=draw](0,0,-2) +\defFunction[algebraic]{G1}(t) + {t} + {2*sin(t)} + {-2} +\defFunction[algebraic]{G2}(t) + {-t} + {-2*sin(t)} + {2} +\psSolid[object=courbe, + function=G1, + range=-3.14 3.14, + r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=cone, + function=G1, + range=-3.14 3.14, + ngrid=3 16, + incolor=green!50, + fillcolor=yellow!50, + origine=0 0 0] +\psSolid[object=courbe, + function=G2, + range=-3.14 3.14, + r=0, + linecolor=blue, + linewidth=2pt] +\psPoint(0,0,0){I} +\uput[l](I){\red$(0,0,0)$} +\psdot[linecolor=red](I) +\gridIIID[Zmin=-2,Zmax=2,spotX=r](-4,4)(-3,3) +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3,-3)(4.5,5) +\psset{lightsrc=viewpoint,viewpoint=100 -10 20 rtp2xyz,Decran=100} +\psSolid[object=grille,base=-4 4 -4 4,linecolor={[rgb]{0.72 0.72 0.5}},action=draw](0,0,-2) +\defFunction[algebraic]{G1}(t) + {t} + {2*sin(t)} + {-2} +\defFunction[algebraic]{G2}(t) + {-t}{-2*sin(t)-2} + {2} +\psSolid[object=courbe, + function=G1, + range=-3.14 3.14, + r=0, + linecolor=blue, + linewidth=2pt] +\psSolid[object=cone, + function=G1, + range=-3.14 3.14, + ngrid=3 16, + incolor=green!50, + fillcolor=yellow!50, + origine=0 -1 0] +\psSolid[object=courbe, + function=G2, + range=-3.14 3.14, + r=0, + linecolor=blue, + linewidth=2pt] +\psPoint(0,-1,0){I} +\uput[l](I){\red$(0,-1,0)$} +\psdot[linecolor=red](I) +\gridIIID[Zmin=-2,Zmax=2,spotX=r](-4,4)(-4,4) +\end{pspicture} +\end{LTXexample} + +\encadre{Pour les cônes aussi, la directrice peut être une courbe quelconque et n'est pas obligatoirement une courbe plane et horizontale, comme dans +l'exemple suivant écrit par Maxime Chupin. +\newline +\centerline{\url{http://melusine.eu.org/lab/bpst/pst-solides3d/cone/cone-dir_02.pst}}} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-datfile.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-datfile.tex new file mode 100644 index 00000000000..e47ecc492a4 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-datfile.tex @@ -0,0 +1,169 @@ + +Il peut être parfois utile d'utiliser des fichiers externes, que ce +soit en lecture ou en écriture. Par exemple, lorsque l'on a construit +des solides nécessitant de longs temps de calcul et que l'on veut +tester différents points de vues ou différentes couleurs, il peut être +intéressant de sauvegarder ces solides pour les relire ensuite, ce qui +évitera de les recalculer. En particulier, cette technique est souvent +utilisé pour construire des animations. On peut aussi avoir envie +d'exporter un solide pour le réutiliser avec un autre logiciel. + +Pour pst-solides3d, le choix a été +fait de déléguer toutes les procédures de lecture$/$écriture à +l'interpréteur postscript (et non pas à \TeX {} ou \LaTeX). En +conséquence, ce n'est pas la compilation \LaTeX {} qui provoquera +l'exécution d'un ordre de lecture$/$écriture, mais la visualisation du +fichier postscript produit. + +En règle générale, la lecture de fichiers externes par un interpréteur +postscript ne pose pas de problème (s'il n'y a pas franchissement de +répertoire). Pour l'écriture en revanche, cela peut poser des +problèmes de sécurité et il n'est pas rare que le visualisateur +postscript interdise l'écriture par défaut. Il faut alors le +configurer pour autoriser cette écriture. + +\encadre{Par défaut, sous Windows et Linux, la protection des fichiers + du disque dur est activée et ne permet donc pas l'écriture sur le + disque. Pour désactiver cette protection, tout au moins + temporairement, voici les deux procédures correspondantes : + +\begin{description} + + \item[Linux : ] le plus simple est donc d'utiliser ghostscript + directement, en console. Comme il n'y a rien à attendre comme image : + +\$> gs -dNOSAFER monfichier.ps quit.ps + \item[Windows : ] dans le menu \textsf{Options}, l'option + \textsf{Protection des fichiers} ne doit pas être cochée. +\end{description}} + + +\section {Fichiers .dat (spécifique à pst-solides3d)} + +Dans pst-solides3d, la structure de données utilisée pour un solide +comporte $4$~champs. Elle peut être stockée dans un ensemble de $4$ +fichiers .dat. + +\subsection {\' Ecriture de fichiers .dat} + +On utilise l'action \Cadre{[action=writesolid} dans \verb+\psSolid+, et on +utilise l'option \Cadre{file} pour spécifier le nom du fichier. + +Par exemple, considérons le code ci-dessous~: +\begin{verbatim} +\psSolid[object=tore, + file=montore, + action=writesolid] +\end{verbatim} + +La chaîne de commandes +\Cadre{LaTeX->dvips->GSview (Windows)ou gv (Linux)} +permet de compiler, puis de transformer en postscript pour enfin +visualiser. + +Cette dernière opération va créer 4 fichiers : +\begin{itemize} + \item \texttt{montore-sommets.dat } -> la liste des sommets ; + \item \texttt{montore-faces.dat } -> la liste des faces ; + \item \texttt{montore-couleurs.dat } -> les couleurs des faces ; + \item \texttt{montore-io.dat } -> les bornes des indices des + faces externes et internes. +\end{itemize} + + +\subsection {Lecture de fichiers .dat} + +On utilise l'objet \Cadre{[object=datfile]} de \verb+\psSolid+, avec l'argument +\Cadre{file} pour spécifier le nom du fichier. +Ainsi le code +\begin{verbatim} +\psSolid[object=datfile, file=montore] +\end{verbatim} +va permettre d'utiliser l'objet stocké dans les fichiers .dat créés au +paragraphe précédent. + +\section {Fichiers .obj} + +Ce format n'utilise qu'un seul fichier, et permet de spécifier sommets +et faces. +Ce sont des fichiers très utilisés dans le domaine de la 3D et qu'on +trouve en abondance sur internet. Par contre, nous n'utilisons qu'une +forme simplifiée du format obj. On veillera à supprimer tous les +commentaires \texttt{\#} du fichier original et ne conserver que les +sommets : ce sont les lignes qui commencent par \texttt{v} et les +faces, lignes commençant par \texttt{f}. + +Les fichiers trop volumineux ne seront pas pris en compte car le +nombre maximal d'éléments pour un tableau \texttt{postscript} est +65535. Donc il faut que le nombre de sommets soit inférieur à 21845. + +\subsection {\' Ecriture de fichiers .obj} + +On utilise l'action \Cadre{[action=writeobj} dans \verb+\psSolid+, et on +utilise l'option \Cadre{file} pour spécifier le nom du fichier. + +Par exemple, le code ci-dessous~: +\begin{verbatim} +\psSolid[object=tore, + file=montore, + action=writeobj] +\end{verbatim} +produira le fichier \textsl{montore.obj} (après compilation et +visualisation du .ps produit). + +\subsection {Lecture de fichiers .obj} + +On utilise l'objet \Cadre{[object=objfile} de \verb+\psSolid+, avec l'argument +\Cadre{file} pour spécifier le nom du fichier. +Ainsi le code +\begin{verbatim} +\psSolid[object=objfile, file=montore] +\end{verbatim} +va permettre d'utiliser l'objet stocké dans les fichiers .obj créés au +paragraphe précédent. + +\begin{LTXexample}[width=6cm] +\psset{viewpoint=20 15 10 rtp2xyz,Decran=20} +\begin{pspicture}(-3,-4)(3,3) +\psframe*[linecolor=cyan!50](-3,-4)(1,3) +\psSolid[object=objfile, + unit=20,RotX=60, + file=rocket]% +\end{pspicture} +\end{LTXexample} + +\section {Fichiers .off} + +Nous n'utilisons qu'une forme simplifiée du format off. En +particulier, les fichiers ne doivent comporter que des entrées +\verb+v+ ou \verb+f+. + +Ce format n'utilise qu'un seul fichier, et permet de spécifier sommets +et faces. + +\subsection {\' Ecriture de fichiers .off} + +On utilise l'action \Cadre{[action=writeoff]} dans \verb+\psSolid+, et on +utilise l'option \Cadre{file} pour spécifier le nom du fichier. + +Par exemple, le code ci-dessous~: +\begin{verbatim} +\psSolid[object=tore, + file=montore, + action=writeoff] +\end{verbatim} +produira le fichier \textsl{montore.off} (après compilation et +visualisation du .ps produit). + +\subsection {Lecture de fichiers .off} + +On utilise l'objet \Cadre{[object=offfile} de \verb+\psSolid+, avec l'argument +\Cadre{file} pour spécifier le nom du fichier. +Ainsi le code +\begin{verbatim} +\psSolid[object=offfile, file=montore] +\end{verbatim} +va permettre d'utiliser l'objet stocké dans les fichiers .off créés au +paragraphe précédent. + + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-definirfonction.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-definirfonction.tex new file mode 100644 index 00000000000..5222461acb4 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-definirfonction.tex @@ -0,0 +1,65 @@ +\section {Définir une fonction} + +Il est possible de définir des fonctions utilisables dans +l'environnement postscript. L'ensemble de départ peut être $R$, $R^2$ +ou $R^3$, et l'ensemble d'arrivée peut être $R$, $R^2$ ou $R^3$. + +La définition se fait avec la macro \verb!\defFunction!. Cette +macro nécessite six arguments, dont un seul est optionnel. + +\verb!\defFunction[<options>]{<nom>}(<var>){<x(var)>}{<y(var)>}{<z(var)>}! + +\begin{table}[h] +\begin{tabular}{p{2cm}p{11cm}} +\verb!<options>! & On y insère les option typiques de PSTricks, comme +\verb!linewidth! etc., et en plus, quelques unes définies par +\verb!pst-solides3d!. Une très charmante option est \verb!algebraic!, +avec quelle on peut éviter la notation RPN (Reverse Polish +Notation). Toutes options sont des paires (clé,valeur) et sont séparées +avec des virgules.\\ + +\verb!<nom>! & C'est un nom unique de votre choix -- mais attention: +évitez des noms avec des accents, PostScript ne les aime pas du +tout.\\ + +\verb!<var>! & On y insère au maximum trois variables arbitraires, +séparées avec des virgules. \\ + +\verb!<x(var)>! \verb!<y(var)>! \verb!<z(var)>! & On y met des +fonctions dépendant des variables définies pour les directions +euclidienness $x,\,y,\,z$. Si une de ces trois directions n'est pas +voulue, insérez un 0 entre les parenthèses -- ce qui vous donne la +possibilité de définir aussi des projetés plans de courbes de fonctions. +\end{tabular} +\end{table} + +Quand vous avez défini une fonction, cette fonction est toujours +reprise avec son \verb!<nom>! choisi. + +Voil\`{a} quelques exemples: +\begin{itemize} + \item \verb!\defFunction{moncercle}(t){t cos 3 mul}{0}{t sin 3 mul}! + + donne un cercle de rayon 3 dans le plan $xOz$ (notation RPN). + \item \verb!\defFunction[algebraic]{helice}(t){cos(t)}{sin(t)}{t}! + + donne une hélice en notation algèbrique. + + \item \verb!\defFunction[algebraic]{F}(t){t}{}{}! + donne une fonction de \textbf{R} dans \textbf{R} + + \item \verb!\defFunction[algebraic]{F}(t){t}{}{}! + donne une fonction de \textbf{R} dans \textbf{R$^{\textbf 2}$} + + \item \verb!\defFunction[algebraic]{F}(t){t}{t}{t}! + donne une fonction de \textbf{R} dans \textbf{R$^{\textbf 3}$} + +\end{itemize} + +\llap {\dbend } Il nous reste encore du travail à faire sur cette +macro, et elle ne permet pour le moment pas de choisir des noms +de variables quelconques, car ils risquent d'entrer en conflit avec +des noms déjà existant. Merci d'utiliser des noms analogues à ceux +utilisés dans la documentation. Une bonne stratégie consiste à +utiliser systématiquement un ou plusieurs caractères numériques à la +fin de vos noms de variables. diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-definirplanquelconque.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-definirplanquelconque.tex new file mode 100644 index 00000000000..3a92b1baefc --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-definirplanquelconque.tex @@ -0,0 +1,9 @@ +\section {Définition du plan de projection} + +La définition du plan de projection se fait avec l'argument +\Cadre{[plan=$plantype$]} qui attend un argument de \textsl{type +plan}. La création d'un tel argument passe obligatoirement par la +commande \verb+\psSolid[object=plan]+ (voir le paragraphe dédié au +chapitre 4 et l'exemple d'utilisation ci dessous au sous-paragraphe +\textsl{Labels\/} du paragraphe \textsl{Points}). + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-definitionmaillage.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-definitionmaillage.tex new file mode 100644 index 00000000000..18a12b19f45 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-definitionmaillage.tex @@ -0,0 +1,325 @@ +\section{Définition du maillage} + +L'utilisateur peut spécifier le maillage du solide avec l'option +\Cadre{[ngrid]} dans la commande \verb+\psSolid+. + +Pour les objets +\verb+cube+, +\verb+prisme+, +\verb+prismecreux+, +la syntaxe est \Cadre{[ngrid=$n_1$]} où $n_1$ représente le +nombre de mailles sur l'axe vertical. + +Pour les objets +\verb+sphere+, +\verb+cylindre+, +\verb+cylindrecreux+, +\verb+cone+, +\verb+conecreux+, +\verb+tronccone+, +\verb+troncconecreux+, +\verb+tore+, +%%\verb+tore+, +la syntaxe est \hfill \break +\Cadre{[ngrid=$n_1$~$n_2$]} où $n_1$ est +entier supérieur ou égal à 1 (à $2$ pour \verb+tore+) représentant le +nombre de mailles sur l'axe vertical, et $n_2$ est un entier +représentant le nombre de divisions sur le cercle. + +Pour les objets +\verb+grille+, +\verb+surface+, +\verb+surface*+, +\verb+surfaceparametree+, +la syntaxe est \Cadre{[ngrid=$n_1$~$n_2$]} où $n_1$ et $n_2$ peuvent +être réels ou entiers. Le nombre $n_1$ se rapporte à l'axe $Ox$ et +$n_2$ se rapporte à l'axe $Oy$. +Si $n_2$ est absent, on considère que $n_2 = n_1$. + +Si $n_1$ est entier, il représente le nombre de mailles sur l'axe +$Ox$. S'il est réel, il représente le pas de maillage sur l'axe +$Ox$. Par exemple, le nombre codé \verb+1+ est entier, alors que celui +codé \verb+1.+ est réel (noter le point). + + +Voici quelques exemples~: + +\subsection {La grille} + +\begin{multicols}{2} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4.5,-1.5)(2.5,2.5) +\psframe(-3.5,-1.5)(2.5,2.5) +\psSolid[object=grille, + ngrid=1, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\axesIIID(0,0,0)(3,3,3) +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + ngrid=1, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\end{verbatim} +\end{multicols} + +\begin{multicols}{2} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4.5,-1.5)(2.5,2.5) +\psframe(-3.5,-1.5)(2.5,2.5) +\psSolid[object=grille, + ngrid=1. 1, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\axesIIID(0,0,0)(3,3,3) +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + ngrid=1. 1, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\end{verbatim} +\end{multicols} + +\subsection {Le cube} + +\begin{center} +\psset{unit=0.5} +\begin{pspicture}(-7,-7)(7,7) +\psframe(-7,-7)(7,7) +\psset[pst-solides3d]{viewpoint=50 40 20,Decran=50,lightsrc=10 10 10} +\psSolid[a=8,object=cube,ngrid=4,fillcolor=yellow]% +%\psSolid[a=8,object=cube,linewidth=2pt,action=draw]% +\psPoint(0,0,0){O} +%\uput[r](O){$O$} +\psPoint(0,0,4){Ak} +\psPoint(0,0,8){Az} +\uput[u](Az){$z$} +\psPoint(4,0,0){Ai} +\psPoint(8,0,0){Ax} +\uput[u](Ax){$x$} +\psPoint(0,4,0){Aj} +\psPoint(0,8,0){Ay} +\uput[dr](Ay){$y$} +\psPoint(4,-4,0){A1} +\psPoint(4,4,0){A2} +\psPoint(-4,4,0){A3} +\psPoint(-4,-4,0){A4} +\uput[dr](Ay){$y$} +%\psline[linestyle=dashed](O)(Ai) +%\psline[linestyle=dashed](O)(Aj) +%\psline[linestyle=dashed](O)(Ak) +\psline[linecolor=green,arrowsize=2mm,arrowinset=0.2]{->}(Aj)(Ay) +\psline[linecolor=blue,arrowsize=2mm,arrowinset=0.2]{->}(Ai)(Ax) +\psline[linecolor=red,arrowsize=2mm,arrowinset=0.2]{->}(Ak)(Az) +\psdot[linecolor=green](Aj) +\psdot[linecolor=blue](Ai) +\psdot[linecolor=red](Ak) +\end{pspicture} +\hfill +\begin{pspicture}(-7,-7)(7,7) +\psframe(-7,-7)(7,7) +\psset[pst-solides3d]{viewpoint=50 45 10 rtp2xyz,Decran=40,lightsrc=30 45 0} +\psSolid[a=8,object=cube,ngrid=3,fcol=\colorfaces,RotY=45,RotX=30,RotZ=20]% +\end{pspicture} +\end{center} +\begin{multicols}{2} + +Pour le premier exemple, le maillage des faces est fixé à $4\times4$ +facettes/face et la commande est la suivante~: +\begin{verbatim} +\psSolid[a=8,object=cube,ngrid=4, + fillcolor=yellow]% +\end{verbatim} +Dans le deuxième exemple, le maillage des faces est fixé à $3\times3$ +et les couleurs des facettes sont diverses. On utilise le package +\texttt{arrayjob} pour stocker les couleurs : +\begin{verbatim} +\newarray\colors +\readarray{colors}{% +Apricot&Aquamarine% +etc.} +\end{verbatim} +Puis la liste des couleurs à afficher est donnée par la commande : +\begin{verbatim} +\edef\colorfaces{}% +\multido{\i=0+1}{67}{% + \checkcolors(\i) +\xdef\colorfaces{% + \colorfaces\i\space(\cachedata)\space} + } +\end{verbatim} +On place l'option~:~\verb+fcol=\colorfaces+. +Le cube maillé est appelé par : +\begin{verbatim} +\psSolid[a=8,object=cube,ngrid=3,% + fcol=\colorfaces, + RotY=45,RotX=30,RotZ=20]% +\end{verbatim} +L'option \texttt{[grid]} permet, éventuellement, de ne pas +tracer les traits du quadrillage. +\end{multicols} + +\newpage + +\subsection {La sphère} + +\begin{multicols}{2} +\setlength{\columnseprule}{1pt} +\psset{unit=0.5} +\centerline{ +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psset{Decran=35} +\psset{color1=cyan,color2=red} +\psSolid[ + fcol=251 (OliveGreen) 232 (color1) 214 (color2), + object=sphere, + ngrid=16 18, + RotX=180,RotZ=30 +]% +\end{pspicture}} +% +\begin{verbatim} +\psset{color1=cyan,color2=red} + fcol=251 (OliveGreen) 232 (color1) 214 (color2), + object=sphere, + ngrid=16 18, + RotX=180,RotZ=30 +]% +\end{verbatim} +\columnbreak +\centerline{ +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psset{Decran=35} +\psset{color1=cyan,color2=red} +\psSolid[ + action=draw*, + fcol=0 (OliveGreen) 2 (color1) 3 (color2), + object=sphere, + ngrid=4 4, + RotX=180,RotZ=30 +]% +\end{pspicture}} +\begin{verbatim} +\psset{color1=cyan,color2=red} +\psSolid[ + action=draw*, + fcol=0 (OliveGreen) 2 (color1) 3 (color2), + object=sphere, + ngrid=4 4, + RotX=180,RotZ=30 +]% +\end{verbatim} +\end{multicols} + +\subsection {Cylindres} +\begin{multicols}{2} +\psset{unit=0.5} +\setlength{\columnseprule}{1pt} +\centerline{ +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psset{Decran=20} +\psset{color1=cyan,color2=red} +\psSolid[ + fcol=0 (OliveGreen) 2 (color1) 3 (color2), + h=5,r=2, + object=cylindrecreux, + ngrid=4 30, + RotZ=30 +](0,0,-2.5) +\end{pspicture}} +\columnbreak +\begin{verbatim} +\psset{color1=cyan,color2=red} +\psSolid[ + fcol=0 (OliveGreen) 2 (color1) 3 (color2), + h=5,r=2, + object=cylindrecreux, + ngrid=4 30, + RotZ=30 + ](0,0,-2.5) +\end{verbatim} +\end{multicols} +% +\begin{multicols}{2} +\psset{unit=0.5} +\setlength{\columnseprule}{1pt} +\centerline{ +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psset{Decran=20} +\psset{color1=cyan,color2=red} +\psSolid[ + action=draw*, + fcol=0 (OliveGreen) 2 (color1) 3 (color2), + h=5,r=2, + object=cylindre, + ngrid=2 12, + RotY=-20 +](0,0,-2.5) +\end{pspicture}} +\columnbreak +\begin{verbatim} +\psset{color1=cyan,color2=red} +\psSolid[ + action=draw*, + fcol=0 (OliveGreen) 2 (color1) 3 (color2), + object=cylindre, + ngrid=2 12, + RotY=-20 + ](0,0,-2.5) +\end{verbatim} +\end{multicols} + +%\newpage + +\subsection{Tore} +\begin{multicols}{2} +\setlength{\columnseprule}{1pt} +\psset{unit=0.5} +\centerline{ + \begin{pspicture}(-5,-5)(5,5) +% \psframe(-2,-2)(2,2) + \psset{Decran=20} + \psSolid[r1=2.5,r0=1.5,object=tore,ngrid=4 36, fillcolor=green!30,action=draw**]% + \axesIIID(4,4,0)(5,5,4) + \end{pspicture}} +\columnbreak +\begin{verbatim} + \psSolid[r1=2.5,r0=1.5, + object=tore, + ngrid=4 36, + fillcolor=green!30, + action=draw**]% +\end{verbatim} +\end{multicols} +% +\begin{multicols}{2} +\setlength{\columnseprule}{1pt} +\psset{unit=0.5} +\centerline{ + \begin{pspicture}(-5,-5)(5,5) +% \psframe(-2,-2)(2,2) + \psset{Decran=20} + \psSolid[r1=3.5,r0=1,object=tore,ngrid=9 18,fillcolor=magenta!30,action=draw**]% + \axesIIID(4.5,4.5,0)(5,5,4) + \end{pspicture}} +\columnbreak +\begin{verbatim} + \psSolid[r1=3.5,r0=1, + object=tore, + ngrid=9 18, + fillcolor=magenta!30, + action=draw**]% +\end{verbatim} +\end{multicols} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-eclairageponctuel.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-eclairageponctuel.tex new file mode 100644 index 00000000000..b8e4c23915d --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-eclairageponctuel.tex @@ -0,0 +1,66 @@ +\section {\' Eclairage par une source lumineuse ponctuelle} + +Deux paramètres, l'un positionne la source, l'autre fixe l'intensité +lumineuse : +\begin{itemize} + \item \Cadre{[lightsrc=20 30 50]} en coordonnées cartésiennes, ou +\Cadre{[lightsrc=viewpoint]} pour faire coïncider la source lumineuse +avec l'observateur. + \item \Cadre{[lightintensity=2]} (valeur par défaut). +\end{itemize} + +\begin{multicols}{2} +\setlength{\columnseprule}{1pt} +\psset{unit=0.5} +\centerline{ +\begin{pspicture}(-6,-5)(4,5) +\psframe(-6,-5)(4,5) +\psset{Decran=1e3,viewpoint=500 0 1000,lightsrc=viewpoint,mode=4} +\psSolid[object=cube,RotZ=30](0,2,0) +\psSolid[object=cylindrecreux,RotX=30,RotZ=-30,fillcolor=cyan,incolor=red](4,-3,0) +\end{pspicture}} +\begin{verbatim} +\psset{Decran=1e3, + viewpoint=500 0 1000, + lightsrc=viewpoint, + mode=5} +\psSolid[object=cube,RotZ=30](0,2,0) +\psSolid[object=cylindrecreux, + RotX=30,RotZ=-30, + fillcolor=cyan,incolor=red](4,-3,0) +\end{verbatim} +\columnbreak +\centerline{ +\begin{pspicture}(-6,-5)(4,5) +\psframe(-6,-5)(4,5) +\psset{Decran=30,viewpoint=30 10 20,lightsrc=viewpoint,mode=3} +\psSolid[object=cube,lightintensity=3,RotX=90,fillcolor=yellow](0,3,0) +\psSolid[object=cube,lightintensity=1,RotX=90,fillcolor=yellow](3,-3,0) +\end{pspicture}} +\begin{verbatim} +\psset{Decran=30, + viewpoint=30 30 30, + lightsrc=viewpoint, + mode=3} +\psSolid[object=cube, + lightintensity=3, + RotX=90](0,3,0) +\psSolid[object=cube, + lightintensity=1, + RotX=90](3,-3,0) +\end{verbatim} +\end{multicols} +\textdbend{} Si l'option \texttt{[lightsrc=}\textsl{value1}~\textsl{value2}~\textsl{value3}\texttt{]} +n'est pas spécifiée, l'objet est uniformément éclairé. + +\begin{center} + \begin{pspicture}(-6,-4)(6,4) +\psframe(-6,-4)(6,4) + \psset{Decran=15} + \psSolid[object=datfile,file=tore1836,deactivatecolor] + \axesIIID(0,4.5,0)(6,6,4) + \end{pspicture} +\end{center} +\begin{verbatim} + \psSolid[r1=3.5,r0=1,object=tore,ngrid=18 36,fillcolor={[rgb]{.372 .62 .628}}]% +\end{verbatim} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-enleverfacettes.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-enleverfacettes.tex new file mode 100644 index 00000000000..63b42d462bf --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-enleverfacettes.tex @@ -0,0 +1,47 @@ +\section{Enlever des facettes} + +L'argument \Cadre{[rm=1 2 8]} permet de supprimer les facettes +visibles $1$, $2$ et $8$, afin de voir l'intérieur des solides creux. + +\begin{multicols}{2} +\setlength{\columnseprule}{1pt} +\psset{unit=0.7} +\psset{Decran=15,grid=true,viewpoint=10 10 10} +\centerline{ +\begin{pspicture}(-4.5,-4.5)(4.5,4.5) +\psframe(-4.5,-4.5)(4.5,4.5) +\psSolid[rm=1 3 6,object=cylindrecreux,ngrid=2 6, +h=6,r=2,fillcolor=green!50,incolor=yellow!50,RotZ=-60](0,0,-3) +\end{pspicture}} +\columnbreak +\begin{verbatim} +\psSolid[rm=1 3 6, + object=cylindrecreux, + ngrid=2 6, + h=6,r=2,fillcolor=green!50, + incolor=yellow!50,RotZ=-60](0,0,-3) +\end{verbatim} +\end{multicols} + +\begin{multicols}{2} +\setlength{\columnseprule}{1pt} +\psset{unit=0.7} +\psset{Decran=15,grid=true,viewpoint=10 10 10} +\centerline{ +\begin{pspicture}(-4.5,-4.5)(4.5,4) +\psframe(-4.5,-4.5)(4.5,4) +\psSolid[object=troncconecreux, + rm=1 12 13 14, + r0=3,r1=1,h=6, + fillcolor=green!50,incolor=yellow, + mode=3](0,0,-3) +\end{pspicture}} +\columnbreak +\begin{verbatim} +\psSolid[object=troncconecreux, + rm=1 12 13 14, + r0=3,r1=1,h=6, + fillcolor=green!50,incolor=yellow, + mode=3](0,0,-3) +\end{verbatim} +\end{multicols} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-face.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-face.tex new file mode 100644 index 00000000000..f1413cb7356 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-face.tex @@ -0,0 +1,100 @@ +\section {Solide monoface -- Solide biface} + +Le contour de \texttt{face} est défini sur le plan $Oxy$ par +les coordonnées des sommets placés dans le sens trigonométrique par le +paramètre \texttt{base} : +\begin{verbatim} +\psSolid[object=face,base=x1 y1 x2 y2 x3 y3 ...xn yn](0,0,0)% +\end{verbatim} +\subsection{\texttt{`face'} triangulaire} +\begin{minipage}{0.47\linewidth} +\psset{unit=0.6} +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture}(-5.5,-4.5)(7,3.5) +\psframe(-5.5,-4.5)(7,3.5) +\psSolid[object=grille,base=-4 6 -4 4,action=draw,linecolor=gray](0,0,0) +\psSolid[object=face,fillcolor=yellow,action=draw*, + incolor=blue, + biface, + base=0 0 3 0 1.5 3, + num=all , + show=all + ](0,1,0) +\psSolid[object=face,fillcolor=yellow,action=draw*, + incolor=blue, + base=0 0 3 0 1.5 3, + num=all, + show=all, + biface, + RotX=180](0,-1,0) +\axesIIID(0,0,0)(6,6,3) +\end{pspicture} +\end{minipage} +% +\begin{minipage}{0.5\linewidth} +\begin{verbatim} +\psset{unit=0.6} +\psset{ + viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture}(-6,-4.5)(7,3.5) +\psframe(-6,-4.5)(7,3.5) +\psSolid[ + object=face,fillcolor=yellow,action=draw*, + incolor=blue, biface, base=0 0 3 0 1.5 3 + ](0,1,0) +\psSolid[ + object=face,fillcolor=yellow,action=draw*, + incolor=blue, base=0 0 3 0 1.5 3, + biface, RotX=180](0,-1,0) +\end{pspicture +\end{verbatim} +\end{minipage} + + + +\subsection{\texttt{`face'} définie par une fonction} + +\begin{minipage}{0.5\linewidth} +\psset{unit=0.45} +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=50} +\def\BASE{0 10 360{/Angle ED 5 Angle cos dup mul mul % x + 3 Angle cos 3 exp Angle sin mul mul % y + } for} +\begin{pspicture}(-9,-5.5)(9,6) +\psframe(-9,-5.5)(9,6) +\defFunction[algebraic]{F}(t) + {5*(cos(t))^2} + {3*(sin(t))*(cos(t))^3}{} +% {t cos dup mul 5 mul} +% {t cos 3 exp t sin mul 3 mul}{} +\psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) +\psSolid[object=face,fillcolor=magenta,action=draw*, + incolor=blue, + biface,RotZ=90, + base=0 2 pi mul {F} CourbeR2+ + ](0,0,0)% +\psSolid[object=face,fillcolor=yellow,action=draw*, + incolor=blue, + biface, + base=0 2 pi mul {F} CourbeR2+](0,0,0)% +\psSolid[object=face,fillcolor=yellow,action=draw*, + incolor=blue, + biface,RotY=180, + base=0 2 pi mul {F} CourbeR2+](0,0,0)% +\psSolid[object=face,fillcolor=yellow,action=draw*, + incolor=red, + biface,RotY=180,RotZ=90, + base=0 2 pi mul {F} CourbeR2+](0,0,0)% +\axesIIID(0,0,0)(6,6,5) +\end{pspicture} +\end{minipage} +% +\begin{minipage}{0.45\linewidth} +\begin{verbatim} +\defFunction[algebraic]{F}(t) + {5*(cos(t))^2} + {3*(sin(t))*(cos(t))^3}{} +base=0 2 pi mul {F} CourbeR2 +\end{verbatim} +\end{minipage} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-fusion.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-fusion.tex new file mode 100644 index 00000000000..454d54c26ce --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-fusion.tex @@ -0,0 +1,114 @@ +\section {Fusionner des solides} + +Il est possible d'assembler plusieurs solides en une seule structure~: +c'est l'opération de \textsl {fusion\/} des solides. Cette technique +permet d'appliquer l'algorithme du peintre à toute une scéne. + +Pour ce faire, il faut activer la possibilité de mettre en mémoire par +\verb+\psset{solidmemory}+, puis construire ses différents solides +avec \verb+\psSolid+, sans omettre de leur donner un nom chacun. + +On utilise ensuite l'objet \verb+fusion+ de \verb+\psSolid+, en +indiquent dans le paramètre \verb+base+ la liste des noms des solides +à fusionner. + +Pour visualiser la scène, ne pas oublier de conclure par +\verb+\composeSolid+. + +\begin{multicols}{2} +\bgroup +\psset{lightsrc=50 -50 50,viewpoint=40 16 32 rtp2xyz,Decran=40} +\psset{unit=.6} +\begin{pspicture}(-6,-5)(6,7) +\psframe*[linecolor=gray!40](-6,-5)(6,7) +\psset{solidmemory} +\psSolid[object=cylindre,h=6,fillcolor=blue, + r=1.5, + ngrid=4 16, + action=none, + name=A1, + ](0,0,-4) +\psSolid[object=anneau,h=6,fillcolor=red!50, + R=4,r=3,h=1, + action=none, + name=B1, + ](0,0,-1) +\psSolid[object=fusion, + action=draw**, + base=A1 B1, + ](0,0,0) +\composeSolid +\end{pspicture} +\egroup + +\columnbreak + +\begin{verbatim} +\psset{solidmemory} +\psSolid[object=cylindre,h=6,fillcolor=blue, + r=1.5, + ngrid=4 16, + action=none, + name=A1, + ](0,0,-4) +\psSolid[object=anneau,h=6,fillcolor=red!50, + R=4,r=3,h=1, + action=none, + name=B1, + ](0,0,-1) +\psSolid[object=fusion, + action=draw**, + base=A1 B1, + ](0,0,0) +\composeSolid +\end{verbatim} +\end{multicols} + + +\begin{multicols}{2} +\bgroup +\psset{unit=0.5} +\begin{pspicture}(-6,-5)(6,5) +\psset{solidmemory} +\psset{lightsrc=50 -50 50,viewpoint=100 -30 40, + Decran=100,linewidth=0.5\pslinewidth, + ngrid=18 18,fillcolor=white, + h=12,r=2,RotX=90} +\psframe*[linecolor=black](-6,-5)(6,5) +\psSolid[object=cylindrecreux, + action=none, + name=cylindre1](0, 6, 0) +\psSolid[object=cylindrecreux, + RotZ=90, + action=none, + name=cylindre2](-6, 0, 0) +\psSolid[object=fusion, + base=cylindre1 cylindre2,RotX=0] +\composeSolid +\end{pspicture} +\egroup + +\columnbreak + +\begin{verbatim} +\psset{solidmemory} +\psset{lightsrc=50 -50 50, + viewpoint=100 -30 40, + Decran=100,linewidth=0.5\pslinewidth, + ngrid=18 18,fillcolor=white, + h=12,r=2,RotX=90} +\psframe*[linecolor=black](-6,-5)(6,5) +\psSolid[object=cylindrecreux, + action=none, + name=cylindre1](0, 6, 0) +\psSolid[object=cylindrecreux, + RotZ=90, + action=none, + name=cylindre2](-6, 0, 0) +\psSolid[object=fusion, + base=cylindre1 cylindre2,RotX=0] +\composeSolid +\end{verbatim} + +\end{multicols} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-fusionjps.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-fusionjps.tex new file mode 100644 index 00000000000..26fb224c9a3 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-fusionjps.tex @@ -0,0 +1,791 @@ +\def\grille{% quadrillage du plan Oxy + \psPoint(-5,-5,0){S1} + \psPoint(-5,5,0){S2} + \psPoint(5,5,0){S3} + \psPoint(5,-5,0){S4} +\pspolygon*[linecolor=gray!20](S1)(S2)(S3)(S4) +\multido{\ix=-5+1}{11}{% + \psPoint(\ix\space,-5,0){A} + \psPoint(\ix\space,5,0){B} + \psline(A)(B)} +\multido{\iy=-5+1}{11}{% + \psPoint(-5,\iy\space,0){A} + \psPoint(5,\iy\space,0){B} + \psline(A)(B)} + \psPoint(0,0,0){O} + \psPoint(5,0,0){X} + \psPoint(0,5,0){Y} + \psPoint(0,0,8){Z} + \psline[arrowsize=0.3,arrowinset=0.2,linecolor=blue]{->}(O)(X) + \psline[arrowsize=0.3,arrowinset=0.2,linecolor=blue]{->}(O)(Y) + \psline[arrowsize=0.3,arrowinset=0.2,linecolor=blue]{->}(O)(Z) + \uput[r](X){\textcolor{blue}{$x$}}\uput[u](Y){\textcolor{blue}{$y$}}% + \uput[r](Z){\textcolor{blue}{$z$}}\uput[u](O){\textcolor{blue}{$O$}}} + + +\section{Fusion avec le code jps} + +On peut également opérer la fusion de solides en passant directement +par le code jps. +Le calcul des parties cachées est effectué par les routines du code +\texttt{PostScript} du fichier \texttt{solides.pro}, mais les lignes +de code sont ``encapsulées'' dans un environnement \texttt{pspicture} +grâce à la commande \verb+\codejps{code ps}+. + +\subsection{Le code \texttt{jps}} + +\subsubsection{Le choix de l'objet} + +\begin{itemize} + \item \textsf{[section] n newanneau} : choix de l'anneau cylindrique défini par sa section, coordonnées des sommets dans le plan $Oyz$. + \item \textsf{2\textvisiblespace 1.5\textvisiblespace 6\textvisiblespace [4\textvisiblespace 16]\textvisiblespace newcylindre} : choix du cylindre vertical avec comme caractéristiques : + \begin{itemize} + \item \texttt{rayon=1.5} ; + \item \texttt{z0=2} est la position du centre de la base inférieure sur l'axe $\mathsf{Oz}$ ; + \item \texttt{z1=6} est la position du centre de la base supérieure sur l'axe $\mathsf{Oz}$ ; + \item \texttt{[4 16]} : le cylindre est découpé verticalement en 4 morceaux et horizontalement en 16 secteurs. + \end{itemize} + \end{itemize} + +\subsubsection{Les transformations} + +\begin{itemize} + \item \texttt{\{-1\textvisiblespace 2\textvisiblespace 5\textvisiblespace translatepoint3d\} solidtransform} : l'objet préalablement sélectionné subit une translation au point de coordonnées $\mathsf{(x=-1,y=2,z=5)}$. + \item \texttt{\{90\textvisiblespace 0\textvisiblespace 45\textvisiblespace rotateOpoint3d\} solidtransform} : l'objet préalablement sélectionné subit une rotation autour des axes $\mathsf{(Ox,Oy,Oz)}$, dans cet ordre, + de 90$^\mathsf{o}$ autour de $\mathsf{(Ox)}$ suivie d'une rotation de 45$^\mathsf{o}$ autour de $\mathsf{(Oz)}$. +\end{itemize} + +\subsubsection{Le choix de la couleur de l'objet} + +\begin{itemize} + \item dup (jaune) outputcolors : l'objet de couleur jaune éclairé en lumière blanche. +\end{itemize} +\subsubsection{La fusion des objets} +\begin{itemize} + \item Elle se fait avec l'instruction \texttt{solidfuz}. +\end{itemize} + +\subsubsection{Le dessin des objets} +\begin{itemize} + \item Le tracé a trois options : + \begin{itemize} + \item \texttt{drawsolid} : tracé des arêtes uniquement, les arêtes cachées sont en pointillés ; + \item \texttt{drawsolid*} : tracé et remplissage des solides dans l'ordre de leur programmation (option peu intéressante à priori), avec le dessin des arêtes cachées + en pointillés~; + \item \texttt{drawsolid**} : tracé et remplissage des solides avec l'algorithme du peintre : seules les parties vues par l'observateur + sont dessinées. + \end{itemize} +\end{itemize} +\begin{center} +\psset{lightsrc=50 -50 50,viewpoint=40 16 32 rtp2xyz,Decran=40} +\psset{unit=0.4} +\begin{minipage}{0.3\linewidth} +\begin{pspicture}(-6,-5)(6,7) +\psframe*[linecolor=gray!40](-6,-5)(6,7) +\codejps{ +% solide 1 + /tour { + -6 1.5 6 [4 16] newcylindre + dup (jaune) outputcolors + } def +% solide 2 + /anneau { + [4 -1 4 1 3 1 3 -1] 24 newanneau + {0 0 -1 translatepoint3d} solidtransform + dup (orange) outputcolors + } def +% fusion + tour anneau solidfuz + drawsolid} +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{0.3\linewidth} +\begin{pspicture}(-6,-5)(6,7) +\psframe*[linecolor=gray!40](-6,-5)(6,7) +\codejps{ +% solide 1 + /tour { + -6 1.5 6 [4 16] newcylindre + dup (jaune) outputcolors + } def +% solide 2 + /anneau { + [4 -1 4 1 3 1 3 -1] 24 newanneau + {0 0 -1 translatepoint3d} solidtransform + dup (orange) outputcolors + } def +% fusion + tour anneau solidfuz + drawsolid*} +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{0.3\linewidth} +\begin{pspicture}(-6,-5)(6,7) +\psframe*[linecolor=gray!40](-6,-5)(6,7) +\codejps{ +% solide 1 + /tour { + -6 1.5 6 [4 16] newcylindre + dup (jaune) outputcolors + } def +% solide 2 + /anneau { + [4 -1 4 1 3 1 3 -1] 24 newanneau + {0 0 -1 translatepoint3d} solidtransform + dup (orange) outputcolors + } def +% fusion + tour anneau solidfuz + drawsolid**} +\psPoint(0,0,8){Z} +\psPoint(0,0,6){Z'} +\psline[arrowsize=0.3,arrowinset=0.2]{->}(Z')(Z) +\uput[u](Z){$z$} +\end{pspicture} +\end{minipage} +\end{center} +\lstset{language=PostScript} +\begin{lstlisting} +\psset{lightsrc=50 -50 50,viewpoint=50 20 50 rtp2xyz,Decran=50} +\begin{pspicture}(-6,-2)(6,8) +\psframe(-6,-2)(6,8) +\codejps{ +% solide 1 + /tour { + -6 1.5 6 [4 16] newcylindre + dup (jaune) outputcolors + } def +% solide 2 + /anneau { + [4 -1 4 1 3 1 3 -1] 24 newanneau + {0 0 -1 translatepoint3d} solidtransform + dup (orange) outputcolors + } def +% fusion + tour anneau solidfuz + drawsolid**} +\end{pspicture} +\end{lstlisting} + +\newpage + +\subsection{Un ion chlorure} + +\begin{minipage}{6cm} +\setlength{\columnseprule}{1pt} +\begin{pspicture}(-3,-4)(3,4) +\psset{lightsrc=100 -50 -10,lightintensity=3,viewpoint=200 20 10 rtp2xyz,Decran=20} +\psframe(-2.5,-2.5)(2.5,2.5) +{\psset{linewidth=0.5\pslinewidth} +\codejps{ +/Cl {9.02 [18 16] newsphere + {-90 0 0 rotateOpoint3d} solidtransform + dup (Green) outputcolors} def +/Cl1 { Cl {10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl2 { Cl {10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl3 { Cl {-10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl4 { Cl {-10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl5 { Cl {10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cl6 { Cl {10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl7 { Cl {-10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl8 { Cl {-10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cs {8.38 [18 16] newsphere + dup (White) outputcolors} def +% +/Cl12{ Cl1 Cl2 solidfuz} def +/Cl123{ Cl12 Cl3 solidfuz} def +/Cl1234{ Cl123 Cl4 solidfuz} def +/Cl12345{ Cl1234 Cl5 solidfuz} def +/Cl123456{ Cl12345 Cl6 solidfuz} def +/Cl1234567{ Cl123456 Cl7 solidfuz} def +/Cl12345678{ Cl1234567 Cl8 solidfuz} def +/C_Cs { Cl12345678 Cs solidfuz} def +C_Cs drawsolid**}}% +%\psSolid[object=cube,a=20.5,action=draw,linestyle=dashed]% +\psPoint(0,0,0){P} +\psPoint(10.25,10.25,10.25){Cl1} +\psPoint(10.25,-10.25,10.25){Cl2} +\psPoint(-10.25,-10.25,10.25){Cl3} +\psPoint(-10.25,10.25,10.25){Cl4} +\psPoint(10.25,10.25,-10.25){Cl5} +\psPoint(10.25,-10.25,-10.25){Cl6} +\psPoint(-10.25,-10.25,-10.25){Cl7} +\psPoint(-10.25,10.25,-10.25){Cl8} +\pspolygon[linestyle=dashed](Cl1)(Cl2)(Cl3)(Cl4) +\pspolygon[linestyle=dashed](Cl5)(Cl6)(Cl7)(Cl8) +\psline[linestyle=dashed](Cl2)(Cl6) +\psline[linestyle=dashed](Cl3)(Cl7) +\psline[linestyle=dashed](Cl1)(Cl5) +\psline[linestyle=dashed](Cl4)(Cl8) +\pcline[offset=0.5]{<->}(Cl2)(Cl1) +\aput{:U}{a} +\pcline[offset=0.5]{<->}(Cl6)(Cl2) +\aput{:U}{a} +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{14cm} +\footnotesize +\begin{verbatim} +\codejps{ +/Cl {9.02 [12 8] newsphere + {-90 0 0 rotateOpoint3d} solidtransform + dup (Green) outputcolors} def +/Cl1 { Cl {10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl2 { Cl {10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl3 { Cl {-10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl4 { Cl {-10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl5 { Cl {10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cl6 { Cl {10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl7 { Cl {-10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl8 { Cl {-10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cs {8.38 [12 8] newsphere + dup (White) outputcolors} def +/Cl12{ Cl1 Cl2 solidfuz} def +/Cl123{ Cl12 Cl3 solidfuz} def +/Cl1234{ Cl123 Cl4 solidfuz} def +/Cl12345{ Cl1234 Cl5 solidfuz} def +/Cl123456{ Cl12345 Cl6 solidfuz} def +/Cl1234567{ Cl123456 Cl7 solidfuz} def +/Cl12345678{ Cl1234567 Cl8 solidfuz} def +/C_Cs { Cl12345678 Cs solidfuz} def +C_Cs drawsolid**} +\end{verbatim} +\end{minipage} + +On définit l'ion chlorure $\mathrm{Cl^-}$ : +\begin{verbatim} +/Cl {9.02 [12 8] newsphere + {-90 0 0 rotateOpoint3d} solidtransform + dup (Green) outputcolors} def +\end{verbatim} +que l'on recopie aux sommets du cube : +\begin{verbatim} +/Cl1 { Cl {10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl2 { Cl {10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl3 { Cl {-10.25 -10.25 10.25 translatepoint3d} solidtransform } def +/Cl4 { Cl {-10.25 10.25 10.25 translatepoint3d} solidtransform } def +/Cl5 { Cl {10.25 10.25 -10.25 translatepoint3d} solidtransform } def +/Cl6 { Cl {10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl7 { Cl {-10.25 -10.25 -10.25 translatepoint3d} solidtransform } def +/Cl8 { Cl {-10.25 10.25 -10.25 translatepoint3d} solidtransform } def +\end{verbatim} +Puis l'ion césium $\mathrm{Cs^+}$, placé au centre : +\begin{verbatim} +/Cs {8.38 [12 8] newsphere + dup (White) outputcolors} def +\end{verbatim} +Ensuite on fusionne deux par deux les différentes sphères. + +\vfill + + +\subsection{Un prototype de véhicule} +\begin{center} +\psset{lightsrc=100 0 100,viewpoint=25 10 10,Decran=30} +\begin{pspicture}(-6,-4)(6,8) +\pstVerb{/Pneu { + /m {90 4 div} bind def + /Scos {m cos 2 m mul cos add 3 m mul cos add} bind def + /Z0 {h 4 div} bind def + /c {Z0 Scos div} bind def + /Z1 {Z0 c m cos mul add} bind def + /Z2 {Z1 c m 2 mul cos mul add} bind def + /R1 {R c m sin mul sub} bind def + /R2 {R1 c m 2 mul sin mul sub} bind def + /R3 {R2 c m 3 mul sin mul sub} bind def + R h 4 div neg % 1 + R h 4 div % 2 + R1 Z1 % 3 + R2 Z2 % 4 + R3 h 2 div % 5 + r h 2 div % 6 + r h 2 div neg % 7 + R3 h 2 div neg % 8 + R2 Z2 neg % 9 + R1 Z1 neg % 10 + } def}% +\grille +\codejps{ +/roue12 { +% solide 1 + /R 2 def /r 1 def /h 1 def + [Pneu] 36 newanneau + {90 0 90 rotateOpoint3d} solidtransform + {3 4 2 translatepoint3d} solidtransform + dup (White) outputcolors +% solide 2 + [Pneu] 36 newanneau + {90 0 90 rotateOpoint3d} solidtransform + {-3 4 2 translatepoint3d} solidtransform + dup (White) outputcolors +% fusion + solidfuz } def +/axe12{ +0 0.1 6 [4 16] newcylindre +{90 0 90 rotateOpoint3d} solidtransform +{-3 4 2 translatepoint3d} solidtransform +dup (White) outputcolors +} def +/roue12axes { +roue12 axe12 solidfuz } def +/roue34 { +% solide 3 + /R 1.5 def /r 1 def /h 1 def + [Pneu] 36 newanneau + {90 0 110 rotateOpoint3d} solidtransform + {3 -4 1.5 translatepoint3d} solidtransform + dup (White) outputcolors +% solide 4 + [Pneu] 36 newanneau + {90 0 110 rotateOpoint3d} solidtransform + {-3 -4 1.5 translatepoint3d} solidtransform + dup (White) outputcolors +% fusion + solidfuz } def +/axe34{ +0 0.1 6 [16 16] newcylindre +{90 0 90 rotateOpoint3d} solidtransform +{-3 -4 1.5 translatepoint3d} solidtransform +dup (White) outputcolors +} def +/roue34axes34 { +roue34 axe34 solidfuz } def +/roues {roue34axes34 roue12axes solidfuz} def +/chassis { +0 1 8 [4 16] newcylindre +{100 0 0 rotateOpoint3d} solidtransform +{0 4 2.5 translatepoint3d} solidtransform +dup (White) outputcolors +} def +roues chassis solidfuz + drawsolid**} +\psPoint(0,0,2.7){Z'} +\psline[arrowsize=0.3,arrowinset=0.2,linecolor=blue]{->}(Z')(Z) +\end{pspicture} +\end{center} +Il faut opérer en plusieurs étapes en fusionnant les solides deux par deux. +\begin{itemize} + \item On fusionne d'abord les deux roues avant \texttt{roue12}: + \begin{verbatim} +/roue12 { +% solide 1 + /R 2 def /r 1 def /h 1 def + [Pneu] 36 newanneau + {90 0 90 rotateOpoint3d} solidtransform + {3 4 2 translatepoint3d} solidtransform + dup (White) outputcolors +% solide 2 + [Pneu] 36 newanneau + {90 0 90 rotateOpoint3d} solidtransform + {-3 4 2 translatepoint3d} solidtransform + dup (White) outputcolors +% fusion + solidfuz } def + \end{verbatim} + \item Puis ces deux roues et leur axe : + \begin{verbatim} +/axe12{ +0 0.1 6 [4 16] newcylindre +{90 0 90 rotateOpoint3d} solidtransform +{-3 4 2 translatepoint3d} solidtransform +dup (White) outputcolors +} def +/roue12axes { +roue12 axe12 solidfuz } def +\end{verbatim} + \item On opère de même pour les roues arrière et leur axe : + \begin{verbatim} +/roue34 { +% solide 3 + /R 1.5 def /r 1 def /h 1 def + [Pneu] 36 newanneau + {90 0 110 rotateOpoint3d} solidtransform + {3 -4 1.5 translatepoint3d} solidtransform + dup (White) outputcolors +% solide 4 + [Pneu] 36 newanneau + {90 0 110 rotateOpoint3d} solidtransform + {-3 -4 1.5 translatepoint3d} solidtransform + dup (White) outputcolors +% fusion + solidfuz } def +/axe34{ +0 0.1 6 [16 16] newcylindre +{90 0 90 rotateOpoint3d} solidtransform +{-3 -4 1.5 translatepoint3d} solidtransform +dup (White) outputcolors +} def +/roue34axes34 { +roue34 axe34 solidfuz } def +/roues {roue34axes34 roue12axes solidfuz} def +\end{verbatim} + +\item La dernière étape consiste à fusionner les deux solides ainsi + obtenus avec le semblant de chassis~: +\begin{verbatim} +/chassis { +0 1 8 [4 16] newcylindre +{100 0 0 rotateOpoint3d} solidtransform +{0 4 2.5 translatepoint3d} solidtransform +dup (White) outputcolors +} def +roues chassis solidfuz + drawsolid**} +\end{verbatim} +\end{itemize} + + +\subsection{Une roue ou bien une station spatiale !} + +\begin{center} +\begin{pspicture}(-6,-5)(6,6) +\psset{lightsrc=50 -50 50,viewpoint=40 50 60,Decran=60,linewidth=0.5\pslinewidth} +%\psframe*[linecolor=black](-6,-5)(6,5) +\codejps{ + /rayon0 { + 1 0.2 6 [4 16] newcylindre + {90 0 0 rotateOpoint3d} solidtransform + dup (White) outputcolors + } def +36 36 360 { + /angle exch def + /rayon1 { + 1 0.2 6 [4 16] newcylindre + {90 0 angle rotateOpoint3d} solidtransform + dup (White) outputcolors + } def + /rayons {rayon0 rayon1 solidfuz} def + /rayon0 rayons def + } for + /moyeu { -2 1 2 [4 10] newcylindre dup (jaune) outputcolors} def + /rayonsmoyeu {rayons moyeu solidfuz} def + /pneu {2 7 [18 36] newtore dup (White) outputcolors} def + /ROUE {pneu rayonsmoyeu solidfuz} def + ROUE drawsolid**} +\end{pspicture} +\end{center} +On définit d'abord le premier rayon : +\begin{verbatim} + /rayon0 { + 1 0.2 6 [4 16] newcylindre + {90 0 0 rotateOpoint3d} solidtransform + dup (White) outputcolors + } def +\end{verbatim} +Puis dans une boucle on fusionne tous les rayons de la roue : +\begin{verbatim} +36 36 360 { + /angle exch def + /rayon1 { + 1 0.2 6 [4 16] newcylindre + {90 0 angle rotateOpoint3d} solidtransform + dup (White) outputcolors + } def + /rayons {rayon0 rayon1 solidfuz} def + /rayon0 rayons def + } for +\end{verbatim} +Ensuite, on dessine le moyeu et la circonférence (pneu) de la roue pour +enfin fusionner l'ensemble : +\begin{verbatim} + /moyeu { -0.5 1 0.5 [4 10] newcylindre dup (White) outputcolors} def + /rayonsmoyeu {rayons moyeu solidfuz} def + /pneu {2 7 [18 36] newtore dup (jaune) outputcolors} def + /ROUE {pneu rayonsmoyeu solidfuz} def + ROUE drawsolid** +\end{verbatim} + + +\subsection{Intersection de deux cylindres} + +\begin{center} +\begin{pspicture}(-6,-3)(6,3) +\psset{lightsrc=50 -50 50,viewpoint=100 -30 +40,Decran=100,linewidth=0.5\pslinewidth, unit=0.75} +%\psframe*[linecolor=black](-6,-5)(6,5) +\codejps{ + /cylindre1 { + -6 2 6 [36 36] newcylindrecreux %newcylindre + {90 0 0 rotateOpoint3d} solidtransform + dup (White) (White) inoutputcolors + } def + /cylindre2 { + -6 2 6 [36 36] newcylindrecreux% newcylindre + {90 0 90 rotateOpoint3d} solidtransform + dup (White) (White) inoutputcolors + } def + /UnionCylindres {cylindre1 cylindre2 solidfuz} def + UnionCylindres drawsolid**} +\end{pspicture} +\end{center} +\begin{verbatim} +\codejps{ + /cylindre1 { + -6 2 6 [36 36] newcylindrecreux %newcylindre + {90 0 0 rotateOpoint3d} solidtransform + dup (White) (White) inoutputcolors + } def + /cylindre2 { + -6 2 6 [36 36] newcylindrecreux% newcylindre + {90 0 90 rotateOpoint3d} solidtransform + dup (White) (White) inoutputcolors + } def + /UnionCylindres {cylindre1 cylindre2 solidfuz} def + UnionCylindres drawsolid**} +\end{verbatim} + + + +\subsection{Intersection d'une sphère et d'un cylindre} + +Dans cette partie on dessine en utilisant +\verb+\psSolid[object=courbe]+ le contour de l'intersection. + +\begin{minipage}{0.4\linewidth} +\psset{unit=0.5,lightsrc=50 -50 50,viewpoint=100 0 0 rtp2xyz,Decran=110,linewidth=0.5\pslinewidth} +\begin{pspicture}(-5,-6)(5,6) +\defFunction{F}(t){t cos dup mul 5 mul}{t cos t sin mul 5 mul}{t sin 5 mul} +\codejps{% + /cylindre1 { + -5 2.5 5 [36 36] newcylindre + {2.5 0 0 translatepoint3d} solidtransform + dup (White) outputcolors + } def + /sphere1 { + 5 [36 72] newsphere + dup (White) outputcolors + } def + /CS {cylindre1 sphere1 solidfuz} def + CS drawsolid**} +\psSolid[object=courbe,r=0, + function=F, + range=0 360, + linecolor=red,linewidth=4\pslinewidth] +\psPoint(0,0,0){O} +%% \makeatletter +%% \parametricplot[linecolor=red,linewidth=2\pslinewidth]{0}{360}{% +%% \tx@optionssolides +%% SolidesDict begin +%% t cos dup mul 5 mul % x +%% t cos t sin mul 5 mul % y +%% t sin 5 mul % z +%% 3dto2d cm_1 exch cm_1 exch +%% end} +%% \makeatother +\end{pspicture} +\end{minipage} +\begin{minipage}{0.55\linewidth} +\begin{verbatim} +\codejps{% + /cylindre1 { + -5 2.5 5 [36 36] newcylindre + {2.5 0 0 translatepoint3d} solidtransform + dup (White) outputcolors + } def + /sphere1 { + 5 [36 72] newsphere + dup (White) outputcolors + } def + /CS {cylindre1 sphere1 solidfuz} def + CS drawsolid**} +\psPoint(0,0,0){O} +\psSolid[object=courbe,r=0, + function=F, + range=0 360, + linecolor=red,linewidth=4\pslinewidth] +\end{verbatim} +\end{minipage} + + +\subsection{Réunion de deux anneaux} + +\begin{minipage}{0.5\linewidth} +\begin{pspicture}(-5,-4)(3,3) +\psset{lightsrc=50 50 50,viewpoint=40 50 60,Decran=30,unit=0.85} +\psframe(-5,-4)(3,3) +\codejps{ + /anneau1 {1 7 [12 36] newtore + {0 0 0 translatepoint3d} solidtransform + dup (White) outputcolors} def + /anneau2 {1 7 [12 36] newtore + {90 0 0 rotateOpoint3d} solidtransform + {7 0 0 translatepoint3d} solidtransform + dup (White) outputcolors} def + /collier {anneau1 anneau2 solidfuz} def + collier drawsolid**} +\end{pspicture} +\end{minipage} +% +\begin{minipage}{0.59\linewidth} +\begin{verbatim} +\codejps{ + /anneau1 {1 7 [9 18] newtore + {0 0 0 translatepoint3d} solidtransform + dup (White) outputcolors} def + /anneau2 {1 7 [9 18] newtore + {90 0 0 rotateOpoint3d} solidtransform + {7 0 0 translatepoint3d} solidtransform + dup (White) outputcolors} def + /collier {anneau1 anneau2 solidfuz} def + collier drawsolid**} +\end{verbatim} +\end{minipage} + + + +\subsection{La molécule de méthane : modèle en bois} + +\begin{minipage}{0.42\linewidth} +\begin{pspicture}(-3.5,-4)(3.2,5) +\psset{lightsrc=50 50 10,lightintensity=2,viewpoint=100 50 20 rtp2xyz, + Decran=30} +\psset{linecolor={[cmyk]{0,0.72,1,0.45}},linewidth=0.5\pslinewidth, + unit=1} +\psframe[fillstyle=solid,fillcolor=green!20](-4,-4)(3.2,5) +\pstVerb{/hetre {0.764 0.6 0.204 setrgbcolor} def + /chene {0.568 0.427 0.086 setrgbcolor} def + /bois {0.956 0.921 0.65 setrgbcolor} def + }% +\codejps{ + /H1 { + 2 [18 16] newsphere + {-90 0 0 rotateOpoint3d} solidtransform + {0 10.93 0 translatepoint3d} solidtransform + dup (hetre) outputcolors} def + /L1 { + 0 0.25 10 [12 10] newcylindre + {-90 0 0 rotateOpoint3d} solidtransform + dup (bois) outputcolors + } def +/HL1{ H1 L1 solidfuz} def +/HL2 { HL1 {0 0 -109.5 rotateOpoint3d} solidtransform } def +/HL3 { HL2 {0 -120 0 rotateOpoint3d} solidtransform } def +/HL4 { HL2 {0 120 0 rotateOpoint3d} solidtransform } def + /C {3 [18 16] newsphere + {90 0 0 rotateOpoint3d} solidtransform + dup (chene) outputcolors} def +/HL12 { HL1 HL2 solidfuz} def +/HL123 { HL12 HL3 solidfuz} def +/HL1234 { HL123 HL4 solidfuz} def +/methane { HL1234 C solidfuz} def + methane drawsolid**} +\end{pspicture} +\end{minipage} +% +\begin{minipage}{0.69\linewidth} +\begin{verbatim} +\pstVerb{/hetre {0.764 0.6 0.204 setrgbcolor} def + /chene {0.568 0.427 0.086 setrgbcolor} def + /bois {0.956 0.921 0.65 setrgbcolor} def + }% +\codejps{ + /H1 { + 2 [18 16] newsphere + {-90 0 0 rotateOpoint3d} solidtransform + {0 10.93 0 translatepoint3d} solidtransform + dup (hetre) outputcolors} def + /L1 { + 0 0.25 10 [12 10] newcylindre + {-90 0 0 rotateOpoint3d} solidtransform + dup (bois) outputcolors + } def + /HL1{ H1 L1 solidfuz} def + /HL2 { + HL1 {0 0 -109.5 rotateOpoint3d} solidtransform + } def + /HL3 { + HL2 {0 -120 0 rotateOpoint3d} solidtransform } def + /HL4 { + HL2 {0 120 0 rotateOpoint3d} solidtransform } def + /C {3 [18 16] newsphere + {90 0 0 rotateOpoint3d} solidtransform + dup (chene) outputcolors} def + /HL12 { HL1 HL2 solidfuz} def + /HL123 { HL12 HL3 solidfuz} def + /HL1234 { HL123 HL4 solidfuz} def + /methane { HL1234 C solidfuz} def + methane drawsolid**} +\end{verbatim} +\end{minipage} + + +\subsection{L'ion thiosulfate} +\input \datapath S2O3 +On définit d'abord les deux atomes de soufre placés sur l'axe $Oz$. +$\mathrm{S_1}$ est placé en $O$. +\begin{verbatim} +\codejps{ +/Soufre1 {3.56 [20 16] newsphere + dup (Yellow) outputcolors} def +/Soufre2 {3.56 [20 16] newsphere + {0 0.000 20.10 translatepoint3d} solidtransform + dup (Yellow) outputcolors} def +\end{verbatim} +Puis la liaison simple \textsf{S-O} avec la convention suivante : c'est un +cylindre avec une moitié rouge -celle qui est liée à \textsf{O}, et l'autre +jaune -celle du côté de \textsf{S}. +\begin{verbatim} +/LiaisonR { + 7.5 0.5 15 [10 10] newcylindre + dup (Red) outputcolors + } def +/LiaisonY { + 0 0.5 7.5 [10 10] newcylindre + dup (Yellow) outputcolors + } def +/Liaison{LiaisonR LiaisonY solidfuz} def +\end{verbatim} +L'atome d'oxygène, sa liaison, puis la mise en position de l'ensemble : +\begin{verbatim} +/Ox {2.17 [20 16] newsphere + {0 0 15 translatepoint3d} solidtransform + dup (Red) outputcolors} def +/LO { Liaison Ox solidfuz} def +/LO1 { LO {0 -109.5 0 rotateOpoint3d} solidtransform } def +/LOx1 { LO1 {0 0 120 rotateOpoint3d} solidtransform } def +% fin liaison simple S-O +\end{verbatim} +La liaison double double \textsf{S=O}, on se sert de la liaison simple +définie précédemment et on la duplique en la décalant suivant l'axe $Ox$ de +0,75~cm. +\begin{verbatim} +% Liaison double S=O +/LiaisonD1 {Liaison {-0.75 0 0 translatepoint3d} solidtransform} def +/LiaisonD2 {Liaison {0.75 0 0 translatepoint3d} solidtransform} def +/LiaisonDD { LiaisonD1 LiaisonD2 solidfuz} def +\end{verbatim} +On lie cette liaison double avec l'atome d'\textsf{O} : +\begin{verbatim} +/LiaisonDOx {LiaisonDD Ox solidfuz} def +\end{verbatim} +et par deux rotations successives on positionne les deux liaisons +\textsf{=O} : +\begin{verbatim} +/LiaisonDOx1 {LiaisonDOx {0 -109.5 0 rotateOpoint3d} solidtransform } def +/LiaisonDOx2 {LiaisonDOx1 {0 0 -120 rotateOpoint3d} solidtransform } def +\end{verbatim} +L'étape suivante consiste à fusionner ces deux liaisons : +\begin{verbatim} +/LO12 { LiaisonDOx1 LiaisonDOx2 solidfuz} def +/LO123 {LO12 LOx1 solidfuz} def +\end{verbatim} +On passe ensuite à la liaison simple \textsf{S-S} : +\begin{verbatim} +% liaison simple S-S +/L4 { 0 0.5 20.10 [16 10] newcylindre + dup (Yellow) outputcolors + } def +\end{verbatim} +Que l'on fusionne avec les deux atomes \textsf{S-S} : +\begin{verbatim} +/S1L4{ Soufre1 L4 solidfuz} def +/S1S2L4{ S1L4 Soufre2 solidfuz} def +\end{verbatim} +La dernière étape consiste à fusionner \textsf{S-S} et les trois \textsf{O} déjà munis de leur liaisons : +\begin{verbatim} +/S2O3 { S1S2L4 LO123 solidfuz} def +S2O3 drawsolid**} +\end{verbatim} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-geode-a.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-geode-a.tex new file mode 100644 index 00000000000..085049a9e35 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-geode-a.tex @@ -0,0 +1,263 @@ +\section {Les géodes et leurs duales} + +\subsection{Présentation mathématique} + +D'excellentes études sur les géodes et leurs duales sont disponibles +sur les sites suivants~: + +\centerline{\url{http://fr.wikipedia.org/wiki/G\%C3\%A9ode}} + +Le paramétrage d'une géode est fidèle aux indications de la page : + +\centerline{\url{http://hypo.ge-dip.etat-ge.ch/www/math/html/amch104.html}} + +<< \textit{On peut définir une géode à partir de deux paramètres : un + numéro $N$ indiquant le type de polyèdre initial ($N = 3$ pour le + tétraèdre, $N = 4$ pour l'octaèdre et $N = 5$ pour l'icosaèdre) et + un nombre $n$ indiquant le nombre de divisions le long de l'arête.} +>> + +L'article \textit{Indexing the Sphere with the Hierarchical Triangular Mesh} +décrit une méthode permettant d'obtenir une représentation des géodes : + +\centerline{\url{http://research.microsoft.com/research/pubs/view.aspx?msr_tr_id=MSR-TR-2005-123}} + +\subsection{Construction avec pst-solides3d} + +Deux approches sont possibles pour construire une géode ou sa duale~: +soit \textsl{via\/} \verb+\codejps+, soit en utilisant les objets de +\verb+\psSolid+. + +Pour une géode, les codes +\begin{verbatim} +\codejps{N n newgeode drawsolid**} +\end{verbatim} +et +\begin{verbatim} +\psSolid[object=geode,ngrid=N n] +\end{verbatim} +sont équivalents. Et pour sa duale, les codes +Pour une géode, les codes +\begin{verbatim} +\codejps{N n newdualgeode drawsolid**} +\end{verbatim} +et +\begin{verbatim} +\psSolid[object=geode,dualreg,ngrid=N n] +\end{verbatim} +sont équivalents. + + + +\subsection{Quelques exemples de géodes et de duales} + +\begin{LTXexample}[pos=t] +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100} +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=geode, + ngrid=5 0] +%\codejps{5 0 newgeode drawsolid**} +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=0}}} +\end{pspicture} +\hfill +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=geode, + dualreg, + ngrid=5 0] +%\codejps{5 0 newdualgeode drawsolid**} +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=0}}} +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[pos=t] +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100} +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=geode, + ngrid=5 1] +%\codejps{5 1 newgeode drawsolid**} +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=1}}} +\end{pspicture} +\hfill +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=geode, + dualreg, + ngrid=5 1] +%\codejps{5 1 newdualgeode drawsolid**} +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=1}}} +\end{pspicture} +\end{LTXexample} + +\subsection{Les paramètres des géodes} + +Le rayon de la sphère est fixé à 1, pour augmenter la taille des +géodes on jouera sur l'un ou l'autre des deux paramètres suivants~: +\begin{itemize} + \item l'unité : \verb+\psset{unit=2}+ + \item la position de l'écran : + \verb+viewpoint=50 -20 30,Decran=100+, si la distance de l'écran + est deux fois plus grande que la distance + à laquelle se trouve l'observateur l'échelle de la scène est multipliée par~2. +\end{itemize} + +\encadre{En jps, le paramétrages'effectue pour + la géode dans le \textbackslash{}codejps\{\textbf{N n newgeode}\} et + pour sa duale dans \textbackslash{}codejps\{\textbf{N n + newdualgeode}\}.} + +\encadre{Avec \textbackslash{}psSolid, les paramètres $N$ et $n$ sont transmis +via l'argument \texttt{ngrid}} + +Les options de couleurs et de transparence sont bien sûr possibles avec les géodes. + +\begin{LTXexample}[pos=t] +\psset{unit=2} +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100,linewidth=2pt} +\begin{pspicture}(-3,-3)(3,3) +\psframe*(-3,-3)(3,3) +\codejps{ +/geode42{4 2 newdualgeode} def +.7 setfillopacity +orange +/geodetransparente{ +geode42 +dup videsolid +dup (orange) inputcolors +dup [.1 .9] solidputhuecolors} def +geodetransparente +drawsolid**} +\end{pspicture} +\end{LTXexample} + +\subsection{Conseils pour la construction `rapide' des géodes} + +Le temps de calcul des géodes et de leurs duales dépend du nombre de +divisions sur une arête (le deuxième paramètre $n$) et il devient +rapidement très grand, ce qui est vraiment une gêne lorsqu'on est +obligé d'attendre, plus ou moins patiemment, le résultat de la +transformation \Cadre{dvips->ps2pdf}. + +Comme pour tous les autres solides, il est possible de sauvegarder la +structure calculée dans des fichiers externes, ce qui permettra un +gain de temps appréciable si on doit faire des essais de couleurs ou +de point de vue. + +Il faut opérer en deux étapes : + +\subsubsection {Sauvegarde en fichier \texttt{.dat} des paramètres de la géode} + +\begin{verbatim} +\documentclass{article} +\usepackage{pst-solides3d} +\begin{document} +\codejps{ +4 4 newdualgeode + dup {[.5 .6]} exec solidputhuecolors +(geodedual44) writesolidfile +} +\end{document} +\end{verbatim} +\Cadre{LaTeX->dvips->GSview (Windows)ou gv (Linux)} + +Cette dernière opération va créer 4 fichiers : +\begin{itemize} + \item \texttt{geodedual44.dat} -> les couleurs des faces ; + \item \texttt{geodedual44.dat} -> la liste des faces ; + \item \texttt{geodedual44.dat} -> la liste des sommets ; + \item \texttt{geodedual44-io.dat} -> le nombre de faces et de sommets. +\end{itemize} + +\encadre{Par défaut, sous Windows et Linux, la protection des fichiers + du disque dur est activée et ne permet donc pas l'écriture sur le + disque. Pour désactiver cette protection, tout au moins + temporairement, voici les deux procédures correspondantes : + +\begin{description} + + \item[Linux : ] le conseil de Jean-Michel Sarlat : le plus +simple est donc d'utiliser ghostscript directement, en console. Comme +il n'y a rien à attendre comme image : + +\$> gs -dNOSAFER lissatest.ps quit.ps + \item[Windows : ] dans le menu \textsf{Options}, l'option \textsf{Protection des fichiers} ne doit pas être cochée. +\end{description}} + +\subsubsection {Lecture des données et dessin de la géode} + +%% \begin{LTXexample}[pos=t] +%% \psset{unit=2} +%% \psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=100} +%% \begin{pspicture}(-2,-2)(2,2) +%% \psframe(-2,-2)(2,2) +%% \psSolid[object=datfile,file=geodedual44] +%% \end{pspicture} +%% \end{LTXexample} + +L'avantage de cette méthode vous paraîtra plus évident en faisant la +comparaison suivante : compilation de deux fichiers qui produisant le +même résultat avec les deux méthodes en concurrence. + +Le fichier \texttt{geode42\_direct.tex} fait le calcul du solide et +son affichage. Le fichier \texttt{geode42\_precalcul.tex} utilise les +fichiers \texttt{.dat} de données pré-calculées par +\texttt{calc\_geode42.tex}. + +\subsection{D'autres exemples} + +\begin{LTXexample}[pos=t] +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100} +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=datfile,file=geode51,deactivatecolor] +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=1}}} +\end{pspicture} +\hfill +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=datfile,file=geodedual51,deactivatecolor] +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=1}}} +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[pos=t] +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100} +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=datfile,file=geode52,deactivatecolor] +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=2}}} +\end{pspicture} +\hfill +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=datfile,file=geodedual52,deactivatecolor] +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=2}}} +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[pos=t] +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100} +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=datfile,file=geode53,deactivatecolor] +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=3}}} +\end{pspicture} +\hfill +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=datfile,file=geodedual53,deactivatecolor] +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=3}}} +\end{pspicture} +\end{LTXexample} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-geode.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-geode.tex new file mode 100644 index 00000000000..faf1c7525ab --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-geode.tex @@ -0,0 +1,220 @@ +\section {Les géodes et leurs duales} + +\subsection{Présentation mathématique} + +D'excellentes études sur les géodes et leurs duales sont disponibles +sur les sites suivants~: + +\centerline{\url{http://fr.wikipedia.org/wiki/G\%C3\%A9ode}} + +Le paramétrage d'une géode est fidèle aux indications de la page : + +\centerline{\url{http://hypo.ge-dip.etat-ge.ch/www/math/html/amch104.html}} + +<< \textit{On peut définir une géode à partir de deux paramètres : un + numéro $N$ indiquant le type de polyèdre initial ($N = 3$ pour le + tétraèdre, $N = 4$ pour l'octaèdre et $N = 5$ pour l'icosaèdre) et + un nombre $n$ indiquant le nombre de divisions le long de l'arête.} +>> + +L'article \textit{Indexing the Sphere with the Hierarchical Triangular Mesh} +décrit une méthode permettant d'obtenir une représentation des géodes : + +\centerline{\url{http://research.microsoft.com/research/pubs/view.aspx?msr_tr_id=MSR-TR-2005-123}} + +\subsection{Construction avec pst-solides3d} + +Deux approches sont possibles pour construire une géode ou sa duale~: +soit \textsl{via\/} \verb+\codejps+, soit en utilisant les objets de +\verb+\psSolid+. + +Pour une géode, les codes +\begin{gbar} +\begin{verbatim} +\codejps{N n newgeode drawsolid**} +\end{verbatim} +\end{gbar} +et +\begin{gbar} +\begin{verbatim} +\psSolid[object=geode,ngrid=N n] +\end{verbatim} +\end{gbar} +sont équivalents. Et pour sa duale, les codes +Pour une géode, les codes +\begin{gbar} +\begin{verbatim} +\codejps{N n newdualgeode drawsolid**} +\end{verbatim} +\end{gbar} +et +\begin{gbar} +\begin{verbatim} +\psSolid[object=geode,dualreg,ngrid=N n] +\end{verbatim} +\end{gbar} +sont équivalents. +\subsection{Quelques exemples de géodes et de duales} +\begin{LTXexample}[pos=t] +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100} +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=geode, + ngrid=5 0] +%\codejps{5 0 newgeode drawsolid**} +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=0}}} +\end{pspicture} +\hfill +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=geode, + dualreg, + ngrid=5 0] +%\codejps{5 0 newdualgeode drawsolid**} +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=0}}} +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[pos=t] +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100} +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=geode, + ngrid=5 1] +%\codejps{5 1 newgeode drawsolid**} +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=1}}} +\end{pspicture} +\hfill +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-3)(3,3) +\psSolid[object=geode, + dualreg, + ngrid=5 1] +%\codejps{5 1 newdualgeode drawsolid**} +\psframe*(-2,-2.8)(2,-2.2) +\rput(0,-2.5){\textcolor{white}{\textsf{N=5 n=1}}} +\end{pspicture} +\end{LTXexample} + +\subsection{Les paramètres des géodes} + +Le rayon de la sphère est fixé à 1, pour augmenter la taille des +géodes on jouera sur l'un ou l'autre des deux paramètres suivants~: +\begin{itemize} + \item l'unité : \verb+\psset{unit=2}+ + \item la position de l'écran : + \verb+viewpoint=50 -20 30,Decran=100+, si la distance de l'écran + est deux fois plus grande que la distance + à laquelle se trouve l'observateur l'échelle de la scène est multipliée par~2. +\end{itemize} + +\encadre{En jps, le paramétrage s'effectue pour + la géode dans le \textbackslash{}codejps\{\textbf{N n newgeode}\} et + pour sa duale dans \textbackslash{}codejps\{\textbf{N n + newdualgeode}\}.} + +\encadre{Avec \textbackslash{}psSolid, les paramètres $N$ et $n$ sont transmis +via l'argument \texttt{ngrid}} + +Les options de couleurs et de transparence sont bien sûr possibles avec les géodes. + +\begin{LTXexample}[pos=t] +\psset{unit=2} +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=100,linewidth=2pt} +\begin{pspicture}(-3,-3)(3,3) +\psframe*(-3,-3)(3,3) +\codejps{ +/geode42{4 2 newdualgeode} def +.7 setfillopacity +orange +/geodetransparente{ +geode42 +dup videsolid +dup (orange) inputcolors +dup [.1 .9] solidputhuecolors} def +geodetransparente +drawsolid**} +\end{pspicture} +\end{LTXexample} + +\subsection{Conseils pour la construction `rapide' des géodes} + +Le temps de calcul des géodes et de leurs duales dépend du nombre de +divisions sur une arête (le deuxième paramètre $n$) et il devient +rapidement très grand, ce qui est vraiment une gêne lorsqu'on est +obligé d'attendre, plus ou moins patiemment, le résultat de la +transformation \Cadre{dvips->ps2pdf}. + +Comme pour tous les autres solides, il est possible de sauvegarder la +structure calculée dans des fichiers externes, ce qui permettra un +gain de temps appréciable si on doit faire des essais de couleurs ou +de point de vue. + +Il faut opérer en deux étapes : + +\subsubsection {Sauvegarde en fichier \texttt{.dat} des paramètres de la géode} + +\begin{verbatim} +\documentclass{article} +\usepackage{pst-solides3d} +\begin{document} +\codejps{ +4 4 newdualgeode + dup {[.5 .6]} exec solidputhuecolors +(geodedual44) writesolidfile +} +\end{document} +\end{verbatim} +\Cadre{LaTeX->dvips->GSview (Windows)ou gv (Linux)} + +Cette dernière opération va créer 4 fichiers : +\begin{itemize} + \item \texttt{geodedual44-couleurs.dat} -> les couleurs des faces ; + \item \texttt{geodedual44-faces.dat} -> la liste des faces ; + \item \texttt{geodedual44-sommets.dat} -> la liste des sommets ; + \item \texttt{geodedual44-io.dat} -> le nombre de faces et de sommets. +\end{itemize} + +\encadre{Par défaut, sous Windows et Linux, la protection des fichiers + du disque dur est activée et ne permet donc pas l'écriture sur le + disque. Pour désactiver cette protection, tout au moins + temporairement, voici les deux procédures correspondantes : + +\begin{description} + + \item[Linux : ] le conseil de Jean-Michel Sarlat : le plus +simple est donc d'utiliser ghostscript directement, en console. Comme +il n'y a rien à attendre comme image : + +\$> gs -dNOSAFER lissatest.ps quit.ps + \item[Windows : ] dans le menu \textsf{Options}, l'option \textsf{Protection des fichiers} ne doit pas être cochée. +\end{description}} + +\subsubsection {Lecture des données et dessin de la géode} + +%% \begin{LTXexample}[pos=t] +%% \psset{unit=2} +%% \psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=100} +%% \begin{pspicture}(-2,-2)(2,2) +%% \psframe(-2,-2)(2,2) +%% \psSolid[object=datfile,file=geodedual44] +%% \end{pspicture} +%% \end{LTXexample} + +L'avantage de cette méthode vous paraîtra plus évident en faisant la +comparaison suivante : compilation de deux fichiers qui produisant le +même résultat avec les deux méthodes en concurrence. + +Le fichier \texttt{geode42\_direct.tex} fait le calcul du solide et +son affichage. Le fichier \texttt{geode42\_precalcul.tex} utilise les +fichiers \texttt{.dat} de données pré-calculées par +\texttt{calc\_geode42.tex}. Ces trois fichiers sont inclus dans la documentation. + +\subsection{D'autres exemples} +Vous trouverez de nombreux autres exemples de géodes sur la page : + +\centerline{\url{http://melusine.eu.org/lab/bpst/pst-solides3d/geodes}} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-grille.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-grille.tex new file mode 100644 index 00000000000..faba7b6f360 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-grille.tex @@ -0,0 +1,78 @@ +\section {La grille} + +L'objet \Cadre{grille} permet d'obtenir un solide plan. +Le paramètre \Cadre{base=$x{min}$ ${x{max}}$ ${y{min}}$ +${y{max}}$]} permet de spécifier la taille de la grille. + +\begin{multicols}{2} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4.5,-1.5)(2.5,2.5) +\psframe(-3.5,-1.5)(2.5,2.5) +\psSolid[object=grille, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\axesIIID(0,0,0)(4,3,3) +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\end{verbatim} +\end{multicols} + +Le paramètre \Cadre{[ngrid=$n_1$ $n_2$]} permet de spécifier le +maillage de la grille. Si $n_2$ est absent, on considère que $n_2 = +n_1$. + +Si $n_1$ est entier, il représente le nombre de mailles sur l'axe +$Ox$. S'il est réel, il représente le pas de maillage sur l'axe +$Ox$. Par exemple, le nombre codé \verb+1+ est entier, alors que celui +codé \verb+1.+ est réel (noter le point). + + +\begin{multicols}{2} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4.5,-1.5)(2.5,2.5) +\psframe(-3.5,-1.5)(2.5,2.5) +\psSolid[object=grille, + ngrid=1, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\axesIIID(0,0,0)(3,3,3) +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + ngrid=1, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\end{verbatim} +\end{multicols} + +\begin{multicols}{2} +\psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-4.5,-1.5)(2.5,2.5) +\psframe(-3.5,-1.5)(2.5,2.5) +\psSolid[object=grille, + ngrid=1. 1, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\axesIIID(0,0,0)(3,3,3) +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + ngrid=1. 1, + base=0 4 -3 3, + linecolor=gray](0,0,0) +\end{verbatim} +\end{multicols} + + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ligne3D.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ligne3D.tex new file mode 100644 index 00000000000..22b77a475e4 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ligne3D.tex @@ -0,0 +1,151 @@ +\section{Tracer une ligne brisée} + +Cette commande est adaptée de la macro \verb+\pstThreeDLine+ du package \texttt{pst-3dplot} de H.Voss\footnote{\url{http://tug.ctan.org/tex-archive/graphics/pstricks/contrib/pst-3dplot}.} + +On l'utilise : \psframebox[fillstyle=solid,fillcolor=yellow,linecolor=yellow]{\texttt{$\backslash$psLineIIID[options](x0,y0,z0)(x1,y1,z1)\ldots(xn,yn,zn)}}, +avec les options suivantes possibles : +\begin{itemize} + \item \texttt{linecolor=couleur} ; + \item \texttt{doubleline=true} ; + \item \texttt{linearc=valeur}. +\end{itemize} +On ne peut pas flécher les extrémités d'une ligne. + +\psset{viewpoint=50 20 30 rtp2xyz,Decran=50} +\begin{LTXexample}[width=6.5cm] +\begin{pspicture}(-3,-4)(4,4) +\psframe(-3,-4)(4,4) +\psSolid[object=cube,a=4,action=draw*,fillcolor=magenta!20]% +\psLineIIID[linecolor=blue,linewidth=0.1,linearc=0.5,doubleline=true](-2,-2,-2)(2,2,2)(2,2,-2)(2,-2,0) +\psPoint(2,-2,0){A}\psPoint(-2,-2,-2){B} +\psPoint(2,2,2){C}\psPoint(2,2,-2){D} +\psdot[dotsize=0.2](A)\psdot[dotsize=0.2](B) +\psdot[dotsize=0.2](C)\psdot[dotsize=0.2](D) +\psLineIIID[linecolor=green](-2,-2,-2)(2,2,2)(2,2,-2)(2,-2,0) +\psPolygonIIID[linecolor=red,fillstyle=vlines,linearc=0.5,linewidth=0.1](-2,-2,2)(-2,2,2)(2,2,2)(2,-2,2) +\axesIIID(2,2,2)(4,4,4) +\end{pspicture} +\end{LTXexample} + +%% \section{Tracer une ligne brisée} +%% +%% Cette commande est adaptée de la macro \verb+\pstThreeDLine+ du package \texttt{pst-3dplot} de H.Voss\footnote{\url{http://tug.ctan.org/tex-archive/graphics/pstricks/contrib/pst-3dplot}.} +%% +%% On l'utilise : \psframebox[fillstyle=solid,fillcolor=yellow,linecolor=yellow]{\texttt{$\backslash$psLineIIID[options](x0,y0,z0)(x1,y1,z1)\ldots(xn,yn,zn)}}, +%% avec les options suivantes possibles : +%% \begin{itemize} +%% \item \texttt{linecolor=couleur} ; +%% \item \texttt{doubleline=true} ; +%% \item \texttt{linearc=valeur}. +%% \end{itemize} +%% On ne peut pas flécher les extrémités d'une ligne. +%% +%% \psset{viewpoint=50 20 30 rtp2xyz,Decran=50} +%% \begin{LTXexample}[width=6.5cm] +%% \begin{pspicture}(-3,-4)(4,4) +%% \psframe(-3,-4)(4,4) +%% \psSolid[object=cube,a=4,action=draw*,fillcolor=magenta!20]% +%% \psLineIIID[linecolor=blue,linewidth=0.1,linearc=0.5,doubleline=true](-2,-2,-2)(2,2,2)(2,2,-2)(2,-2,0) +%% \psPoint(2,-2,0){A}\psPoint(-2,-2,-2){B} +%% \psPoint(2,2,2){C}\psPoint(2,2,-2){D} +%% \psdot[dotsize=0.2](A)\psdot[dotsize=0.2](B) +%% \psdot[dotsize=0.2](C)\psdot[dotsize=0.2](D) +%% \psLineIIID[linecolor=green](-2,-2,-2)(2,2,2)(2,2,-2)(2,-2,0) +%% \psPolygonIIID[linecolor=red,fillstyle=vlines,linearc=0.5,linewidth=0.1](-2,-2,2)(-2,2,2)(2,2,2)(2,-2,2) +%% \axesIIID(2,2,2)(4,4,4) +%% \end{pspicture} +%% \end{LTXexample} +%% +%% \section{Tracer un polygone} +%% On utilise : \psframebox[fillstyle=solid,fillcolor=yellow,linecolor=yellow]{\texttt{$\backslash$psPolygonIIID[options](x0,y0,z0)(x1,y1,z1)\ldots(xn,yn,zn)}}, +%% avec les options suivantes possibles : +%% \begin{itemize} +%% \item \texttt{linecolor=couleur} ; +%% \item \texttt{doubleline=true} ; +%% \item \texttt{linearc=valeur} ; +%% \item \texttt{fillstyle=solid} ; +%% \item \texttt{fillstyle=vlines} ou \texttt{fillstyle=hlines} ou \texttt{fillstyle=crosshatch}. +%% \end{itemize} +%% \newpage +%% +%% \section{Transformer un point et le mémoriser} +%% Soit un point initial $A(x,y,z)$. On fait subir à ce point des rotations autour des axes $Ox$, $Oy$ et $Oz$ d'angles respectifs : +%% \texttt{[RotX=valeurX,RotX=valeurY,RotX=valeurZ]}, dans cet ordre, puis on opère une translation de vecteur $(v_x,v_y,v_z)$. Le problème a été de récupérer les +%% coordonnées du point final $A'(x',y',z')$. +%% +%% La commande \psframebox[fillstyle=solid,fillcolor=yellow,linecolor=yellow]{\texttt{$\backslash$psTransformPoint[RotX=valeurX,RotX=valeurY,RotX=valeurZ](x y z)(vx,vy,vz)\{A'\}}} +%% permet de stocker dans le n\oe{}ud $A'$, les coordonnées du point transformé. +%% +%% Dans l'exemple suivant $A(2,2,2)$ est l'un des sommets du cube initial, dont le centre est placé à l'origine du repère. +%% {\red +%% \begin{verbatim} +%% \psSolid[object=cube,a=4,action=draw*,linecolor=red]% +%% \end{verbatim} +%% } +%% Ce cube subit différentes transformations : +%% {\red +%% \begin{verbatim} +%% \psSolid[object=cube,a=4,action=draw*,RotX=-30,RotY=60,RotZ=-60](7.5,11.25,10)% +%% \end{verbatim} +%% } +%% Pour obtenir l'image de $A$, on applique la commande suivante : +%% {\red +%% \begin{verbatim} +%% \psTransformPoint[RotX=-30,RotY=60,RotZ=-60](2 2 2)(7.5,11.25,10){A'} +%% \end{verbatim} +%% } +%% Ce qui permet, par exemple, de nommer ces points et de dessiner le vecteur $\overrightarrow{AA'}$. +%% \begin{center} +%% \begin{pspicture}(-2,-4)(6,6) +%% \psframe(-2,-4)(6,6) +%% \psset{unit=0.5} +%% %\psSolid[object=cube,a=4,action=draw,linecolor=red,fontsize=40,numfaces=all]% +%% \psSolid[object=cube,a=4,action=draw*,linecolor=red]% +%% \psPoint(2,2,2){A}\psdot(A) +%% %\psSolid[object=cube,a=4,action=draw,RotX=-30,RotY=60,RotZ=-60,fontsize=40,numfaces=all](7.5,11.25,10)% +%% \psSolid[object=cube,a=4,action=draw*,RotX=-30,RotY=60,RotZ=-60](7.5,11.25,10)% +%% \psTransformPoint[RotX=-30,RotY=60,RotZ=-60](2 2 2)(7.5,11.25,10){A'} +%% \psdot(A')\psline[linecolor=blue,arrowsize=0.3]{{o-v}}(A)(A') +%% \uput[u](A'){$A'$}\uput[u](A){$A$} +%% \psset{solidmemory} +%% \psSolid[object=cube,a=4, +%% name=A1, +%% action=none](0,0,0) +%% \psset{fontsize=100, +%% phi=90, +%% no=0, +%% solidname=A1} +%% \psProjection[object=texte,linecolor=red,text=A]% +%% \psset{fontsize=100, +%% phi=180, +%% no=1, +%% solidname=A1} +%% \psProjection[object=texte,linecolor=red,text=B]% +%% \psset{fontsize=100, +%% phi=90, +%% no=4, +%% solidname=A1} +%% \psProjection[object=texte,linecolor=red,text=E]% +%% % +%% \psset{solidmemory} +%% \psSolid[object=cube,a=4,RotX=-30,RotY=60,RotZ=-60, +%% name=A2, +%% action=none](7.5,11.25,10) +%% \psset{fontsize=100, +%% phi=20, +%% no=0, +%% solidname=A2} +%% \psProjection[object=texte,text=A]% +%% \psset{fontsize=100, +%% phi=160, +%% no=2, +%% solidname=A2} +%% \psProjection[object=texte,text=B]% +%% \psset{fontsize=100, +%% phi=160, +%% no=1, +%% solidname=A2} +%% \psProjection[object=texte,text=C]% +%% \axesIIID(2,2,2)(10,10,8) +%% \end{pspicture} +%% \end{center}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-lignedeniveau.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-lignedeniveau.tex new file mode 100644 index 00000000000..d01ed76fb3e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-lignedeniveau.tex @@ -0,0 +1,66 @@ +\section {Tracés d'intersections planes} + +Pour chaque objet de type \textsl {solid}, il est possible de tracer +l'intersection du solide considéré avec un ou plusieurs plans. + +L'argument numérique \Cadre{[intersectiontype=$k$]} (valeur $-1$ par +défaut) détermine s'il y a ou non demande de tracé +d'intersection. Positionné à $0$, il y a tracé des intersections. + +Restent $3$ paramètres à régler~: + +\begin{itemize} + +\item \Cadre{[intersectionplan=\{$eq_1$ ... $eq_n$\}]} +définit la liste des équations $e_i$ des plans de coupe. Les $e_i$ +peuvent être également des objets de type plan. + +\item \Cadre{[intersectionlinewidth=$w_1$ ... $w_n$]} +définit la liste des épaisseurs en picas $w_i$ pour chacune des +coupes. + +\item \Cadre{[intersectioncolor=$str_1$ ... $str_n$]} +définit la liste des couleurs des différents traits de coupe. + +\end{itemize} + +\begin{multicols}{2} + +%\begin{center} +\bgroup +\psset{unit=0.5} +\psset{lightsrc=20 -20 10,viewpoint=50 -20 10 rtp2xyz,Decran=50} +\begin{pspicture*}(-5,-4)(5,5) +\psframe(-5,-4)(5,5) +\psSolid[object=cube, + intersectiontype=0, + intersectionplan={[1 0 .5 2] [1 0 .5 -1]}, + intersectionlinewidth=1 2, + intersectioncolor=(bleu) (rouge), + RotX=20, + RotY=90, + RotZ=30, + a=6, + action=draw*, +] +\end{pspicture*} +\egroup +%\end{center} + +\columnbreak + +\begin{verbatim} +\psSolid[object=cube, + intersectiontype=0, + intersectionplan={[1 0 .5 2] [1 0 .5 -1]}, + intersectionlinewidth=1 2, + intersectioncolor=(bleu) (rouge), + RotX=20,RotY=90,RotZ=30, + a=6, + action=draw*, +] +\end{verbatim} + +\end {multicols} + + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-modes.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-modes.tex new file mode 100644 index 00000000000..4e0bd3bfbcc --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-modes.tex @@ -0,0 +1,52 @@ +\section{Les modes} + +Pour un certain nombre de solides, on a prédéfini certains +maillages. Le positionnement du paramètre \Cadre{[mode=0, 1, 2, 3 ou 4]} permet de passer +du maillage prédéfini le plus grossier \texttt{[mode=0]} au maillage +prédéfini le plus fin \texttt{[mode=4]}. + +Ceci permet notamment de mettre au point une image avec tous les +solides en \texttt{[mode=0]} afin d'accélérer les calculs, avant de passer au +\texttt{[mode=4]} pour une image définitive. + +%% avec mode = 0 +\begin{center} +\psset{lightsrc=10 5 0,viewpoint=50 20 -40 rtp2xyz,Decran=35,unit=0.5,% + incolor=white,fillcolor=green!50,r0=5,r1=2,h=5,object=troncconecreux,r0=5,r1=2,h=5} +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[mode=0]% +\rput(0,-4.5){\psframebox[fillstyle=solid,fillcolor=black]{\small \textcolor{white}{\texttt{[mode=0]}}}} +\end{pspicture} +% +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[mode=1]% +\rput(0,-4.5){\psframebox[fillstyle=solid,fillcolor=black]{\small\textcolor{white}{\texttt{[mode=1]}}}} +\end{pspicture} +% +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[mode=2]% +\rput(0,-4.5){\psframebox[fillstyle=solid,fillcolor=black]{\textcolor{white}{\texttt{[mode=2]}}}} +\end{pspicture} +% +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[mode=3]% +\rput(0,-4.5){\psframebox[fillstyle=solid,fillcolor=black]{\textcolor{white}{\texttt{[mode=3]}}}} +\end{pspicture} +% +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[mode=4]% +\rput(0,-4.5){\psframebox[fillstyle=solid,fillcolor=black]{\textcolor{white}{\texttt{[mode=4]}}}} +\end{pspicture} +% +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psSolid[mode=5]% +\rput(0,-4.5){\psframebox[fillstyle=solid,fillcolor=black]{\small\textcolor{white}{\texttt{[mode=5] => [mode=4] forcé}}}} +\end{pspicture} +\end{center} +%\newpage diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-new.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-new.tex new file mode 100644 index 00000000000..c83897a697e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-new.tex @@ -0,0 +1,261 @@ +\section {Construire à partir du scratch} + +L'objet \verb+new+ permet de construire son propre solide. Deux +paramètres sont utilisés~: \verb+sommets+ qui indique la liste des +coordonnées des différents sommets, et \verb+faces+ qui donne la liste +de toutes les faces du solide, une face de solide étant caractérisée +par la liste des indices des sommets la constituant, ceux-ci étant +\textbf {rangés dans le sens trigonométrique lorsque l'on regarde la +face du coté extérieur}. + +\subsection {Exemple 1 : une maison} +\vskip -10mm +\begin{multicols}{2} +\bgroup +\psset{unit=0.5} +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-7,-4)(7,7) +\psframe(-7,-4)(7,7) +\psSolid[object=new, + sommets= + 2 4 3 -2 4 3 + -2 -4 3 2 -4 3 + 2 4 0 -2 4 0 + -2 -4 0 2 -4 0 + 0 4 5 0 -4 5, + faces={ + [0 1 2 3] [7 6 5 4] + [0 3 7 4] [3 9 2] + [1 8 0] [8 9 3 0] + [9 8 1 2] [6 7 3 2] + [2 1 5 6]}, + num=all, + show=all, + action=draw +]% +\end{pspicture*} +\egroup +\columnbreak +\begin{verbatim} +\psSolid[object=new, + sommets= + 2 4 3 -2 4 3 + -2 -4 3 2 -4 3 + 2 4 0 -2 4 0 + -2 -4 0 2 -4 0 + 0 4 5 0 -4 5, + faces={ + [0 1 2 3] [7 6 5 4] + [0 3 7 4] [3 9 2] + [1 8 0] [8 9 3 0] + [9 8 1 2] [6 7 3 2] + [2 1 5 6]}, + num=all,show=all,action=draw] +\end{verbatim} +\end{multicols} + +Il est à remarquer que le solide \verb+new+ accepte les mêmes options +que les autres solides. Par exemple, on a représenté ci-dessous le +solide précédent en utilisant les paramètres \verb+hollow+, +\verb+incolor+, \verb+fillcolor+ et \verb+rm+. + +%% exemple 2 + +\begin{multicols}{2} + +\bgroup +\psset{unit=0.5} +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-7,-3.5)(7,7.5) +\psframe(-7,-3.5)(7,7.5) +\psSolid[object=new,fillcolor=red!50,incolor=yellow, + action=draw**, + hollow, + rm=2, + sommets= + 2 4 3 + -2 4 3 + -2 -4 3 + 2 -4 3 + 2 4 0 + -2 4 0 + -2 -4 0 + 2 -4 0 + 0 4 5 + 0 -4 5, + faces={ + [0 1 2 3] + [7 6 5 4] + [0 3 7 4] + [3 9 2] + [1 8 0] + [8 9 3 0] + [9 8 1 2] + [6 7 3 2] + [2 1 5 6]}, + num=all, + show=all + ]% +\end{pspicture*} +\egroup + +\columnbreak + +\begin{verbatim} +\psSolid[object=new,fillcolor=red!50, + incolor=yellow, + action=draw**, + hollow, + rm=2, + ... +\end{verbatim} +\end{multicols} + +\subsection {Exemple 2 : Hyperboloïde de rayon fixe} + +%\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} +%\psset{viewpoint=50 20 30 rtp2xyz} + +\begin{multicols}{2} + +Comme à chaque fois, les options de la macro \verb+\psSolid+ peuvent +embarquer du code postscript, voire du code jps. + +Ci-contre un exemple en pur postscript, où on utilise les variables +$a$, $b$ et $h$ qui sont transmises par les options de PSTricks. On +obtient ainsi un solide variable construit à partir du scratch. + +Remarque~: le code utilisé provient d'un source jps pratiquement +utilisé tel que~: + +\noindent\url{http://melusine.eu.org/lab/bjps/solide/tour.jps} + +\columnbreak + +\bgroup +\psset{unit=0.75} +\psset{lightsrc=10 -20 20,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-5,-5)(3,5) +\psframe(-3,-5)(3,5) +\psSolid[object=new,fillcolor=red!50,incolor=yellow, + hollow, + a=10, %% nb d'etages + b=20, %% diviseur de 360, nb de meridiens + h=8, %% hauteur + action=draw**, + sommets= + /z0 h neg 2 div def + a -1 0 { + /k exch def + 0 1 b 1 sub { + /i exch def + /r z0 h a div k mul add dup mul 4 div 1 add sqrt def + 360 b idiv i mul cos r mul + 360 b idiv i mul sin r mul + z0 h a div k mul add + } for + } for, + faces={ + 0 1 a 1 sub { + /k exch def + k b mul 1 add 1 k 1 add b mul 1 sub { + /i exch def + [i i 1 sub b i add 1 sub b i add] + } for + [k b mul k 1 add b mul 1 sub k 2 add b mul 1 sub k 1 add b mul] + } for + }, +] +\end{pspicture*} +\egroup + +\end{multicols} + +Le code utilisé est le suivant~: +\begin{verbatim} +\psSolid[object=new,fillcolor=red!50,incolor=yellow, + hollow, + a=10, %% nb d'etages + b=20, %% diviseur de 360, nb de meridiens + h=8, %% hauteur + action=draw**, + sommets= + /z0 h neg 2 div def + a -1 0 { + /k exch def + 0 1 b 1 sub { + /i exch def + /r z0 h a div k mul add dup mul 4 div 1 add sqrt def + 360 b idiv i mul cos r mul + 360 b idiv i mul sin r mul + z0 h a div k mul add + } for + } for, + faces={ + 0 1 a 1 sub { + /k exch def + k b mul 1 add 1 k 1 add b mul 1 sub { + /i exch def + [i i 1 sub b i add 1 sub b i add] + } for + [k b mul k 1 add b mul 1 sub k 2 add b mul 1 sub k 1 add b mul] + } for + }] +\end{verbatim} + +\subsection {Exemple 3~: Import de fichiers externes} + +\`A partir d'un fichier de description de solide dans un format +particulier (notamment autre que obj ou off), on peut fabriquer +soit-même un fichier .dat contenant les coordonnées des sommets, et +un autre fichier .dat contenant les tableaux des indices des sommets +de chaque facette. Ces fichiers peuvent alors être utilisés en entrée +pour les paramètres \verb+sommets+ et \verb+faces+ en utilisant +l'instruction postscript \verb+run+. + +Dans l'exemple ci-dessous, les fichiers \verb+sommets_nefer.dat+ +et \verb+faces_nefer.dat+ ont été placés dans le répertoire de +compilation. + +\medbreak +\bgroup +\psset{unit=0.4} +\definecolor{AntiqueWhite}{rgb}{0.98,0.92,0.84} +\begin{pspicture}(-7,-7)(7,8) +\psset{lightsrc=30 -40 10} +\psset{viewpoint=50 -50 20 rtp2xyz,Decran=50} +\psframe(-7,-7)(7,8) +\psset{RotX=90,sommets= (sommets_nefer.dat) run} +\psSolid[object=new,fillcolor=AntiqueWhite,linewidth=0.5\pslinewidth, + faces={(faces_nefer.dat) run}]% +\psSolid[object=new,fillcolor=red,linewidth=0.5\pslinewidth, + faces={(faces_nefer_levres.dat) run}]% +\psSolid[object=new,fillcolor=black, + faces={(faces_nefer_sourcils.dat) run}]% +\end{pspicture} +\hfill +\begin{pspicture}(-7,-7)(7,8) +\psset{lightsrc=-10 -40 -5,lightintensity=.5} +\psset{viewpoint=50 -80 10 rtp2xyz,Decran=50} +\psframe(-7,-7)(7,8) +\psset{RotX=90,RotZ=30,sommets= (sommets_nefer.dat) run} +\psSolid[object=new,fillcolor=AntiqueWhite,linewidth=0.5\pslinewidth, + grid, + faces={(faces_nefer.dat) run}]% +\psSolid[object=new,fillcolor=red,linewidth=0.5\pslinewidth,grid, + faces={(faces_nefer_levres.dat) run}]% +\psSolid[object=new,fillcolor=black, + faces={(faces_nefer_sourcils.dat) run}]% +\end{pspicture} +\egroup + +\newpage +\begin{verbatim} +\definecolor{AntiqueWhite}{rgb}{0.98,0.92,0.84} +\psset{lightsrc=30 -40 10} +\psset{viewpoint=50 -50 20 rtp2xyz,Decran=50} +\psframe(-7,-7)(7,9) +\psSolid[object=new,RotX=90,fillcolor=AntiqueWhite,linewidth=0.5\pslinewidth, + sommets= (sommets_nefer.dat) run, + faces={(faces_nefer.dat) run}]% +\end{verbatim} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-nommersolide.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-nommersolide.tex new file mode 100644 index 00000000000..0cea32e3b66 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-nommersolide.tex @@ -0,0 +1,82 @@ +\section {Nommer un solide} + +Pour certaines utilisations, on a besoin de stocker un solide en +mémoire afin de pouvoir y faire référence par la suite. Pour ce faire +on dispose du booléen \verb+solidmemory+, qui permet la transmission +d'une variable tout au long de la scène. + +En revanche, l'activation de ce booléen désactive le dessin immédiat +des macros \verb+\psSolid+, \verb+\psSurface+ et +\verb+\psProjection+. Pour obtenir ce dessin, on utilise la macro +\verb+\composeSolid+ à la fin de la scène. + +Lorsque l'activation \Cadre{$\backslash $psset\{solidmemory\}} est faite, on peut +alors utiliser l'option \Cadre{[name=...]} de la macro \verb+\psSolid+. + +Dans l'exemple ci-dessous, on construit un solide coloré, que l'on +sauvagarde sous le nom $A1$. On le dessine ensuite, après coup, en +utilisant l'objet \Cadre{[object=load]} avec le paramètre +\Cadre{[load=$name$]}. + +\`A noter que l'instruction \verb+linecolor=blue+ utilisée lors de la +construction de notre cube n'a pas d'impact sur le dessin~: seule la +structure du solide a été sauvegardé (sommets, faces, couleurs des +faces), pas l'épaisseur de la ligne de tracé ou sa couleur ou la +position de la source lumineuse. C'est au moment du dessin du solide +considéré qu'il faut régler ces paramètres. + +Enfin, on remarquera l'utilisation de l'option +\Cadre{[deactivatecolor]} qui permet au cube de garder sa couleur +rouge d'origine (sinon les couleurs par défaut auraient repris le +dessus dans l'objet \verb+load+). + +\begin{multicols}{2} +\bgroup +\psset{unit=0.75} +\psset{lightsrc=10 0 10,viewpoint=50 -20 10 rtp2xyz,Decran=50} +\begin{pspicture*}(-4,-4)(5,4) +\psframe(-4,-4)(5,4) +\psset{solidmemory} +\psSolid[object=cube, + linecolor=blue, + a=4,fillcolor=red!50, + ngrid=3, + action=none, + name=A, + ](0,0,0) +\psSolid[object=load, + deactivatecolor, + load=A] +\composeSolid +\end{pspicture*} +\egroup + +\columnbreak + +\begin{verbatim} +\psset{solidmemory} +\psSolid[object=cube, + linecolor=blue, + a=4,fillcolor=red!50, + ngrid=3, + action=none, + name=A, + ](0,0,0) +\psSolid[object=load, + deactivatecolor, + load=A] +\composeSolid +\end{verbatim} +\end{multicols} + + +\llap {\dbend } +Avec l'option \verb+solidmemory+, les noms de variables sont +relativement bien encapsulés, et il n'y a pas de conflit avec les +variables de dvips par exemple. Il reste par contre le risque de +surcharge des noms utilisés par \verb+solides.pro+. On peut utiliser +tous les noms de variables à un seul carctère alphabétique, mais il +faut éviter d'utiliser des noms comme +\verb+vecteur+, +\verb+distance+, +\verb+droite+, etc\dots qui sont déjà définis par le package. diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-numeroterfacettes.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-numeroterfacettes.tex new file mode 100644 index 00000000000..c31a8dcb729 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-numeroterfacettes.tex @@ -0,0 +1,144 @@ +\section {Numéroter les facettes} + +L'option \verb+numfaces+ permet d'afficher sur chaque face son indice +rorrespondant. +\begin{itemize} + \item \Cadre{[numfaces=all]} affiche tous les numéros de faces ; + \item \Cadre{[numefaces=0 1 2 3]} affiche tous les numéros de faces + \texttt{[0,1,2 et 3]} ; +\end{itemize} +L'option \Cadre{fontsize} permet de fixer la taille de la police +utilisée. +Enfin, le booléen \Cadre{visibility} permet de spécifier si on doit ou +non afficher le numéro de face si la face n'est pas visible. Par +défaut, on a \verb+visibility=true+, et on tient compte de la +visibilité (ie. numéro pas affiché si la face n'est pas visible) + +\begin{multicols}{2} +\psset{unit=1} +\psset{viewpoint=50 20 30 rtp2xyz,Decran=50} +\begin{pspicture}(-4,-3)(3,1.5) +\psframe(-4,-3)(3,1.5) +\psSolid[object=grille, + base=0 4 -2 2, + numfaces=2 6 7 10, + linecolor=gray](0,0,0) +\axesIIID(0,0,0)(4,2,1) +\end{pspicture} + +\columnbreak + +\begin{verbatim} +\psSolid[object=grille, + base=0 4 -2 2, + numfaces=2 6 7 10, + linecolor=gray](0,0,0) +\end{verbatim} +\end{multicols} + +%% \begin{multicols}{2} +%% +%% \bgroup +%% \psset{viewpoint=50 20 30 rtp2xyz} +%% \begin{center} +%% \psset{unit=0.75} +%% \psset{lightsrc=30 -20 10,viewpoint=50 -20 10 rtp2xyz,Decran=50} +%% \begin{pspicture*}(-5,-4)(6,6) +%% \psframe(-5,-4)(6,6) +%% \axesIIID(0,0,0)(4,4,4) +%% \psSolid[object=cube, +%% RotY=90, +%% ngrid=4, +%% numfaces=2 6 10, +%% action=draw**](0,0,0) +%% \end{pspicture*} +%% \end{center} +%% \egroup +%% +%% \columnbreak +%% +%% \begin{verbatim} +%% \axesIIID(0,0,0)(4,4,4) +%% \psSolid[object=cube, +%% RotY=90, +%% ngrid=4, +%% numfaces=2 6 10, +%% action=draw**](0,0,0) +%% \end{verbatim} +%% +%% \end{multicols} + +\begin{multicols}{2} +\bgroup +\psset{unit=0.75} +\psset{viewpoint=50 -20 10 rtp2xyz,Decran=50} +\begin{pspicture*}(-4,-3)(4,3) +\psframe(-4,-2.9)(4,3) +\psSolid[object=cube, + RotY=90, + ngrid=4, + fontsize=15, + action=draw, + numfaces=all](0,0,0) +\end{pspicture*} +\egroup +\columnbreak + +\begin{verbatim} +\psSolid[object=cube, + RotY=90, + ngrid=4, + fontsize=15, + action=draw, + numfaces=all](0,0,0) +\end{verbatim} +\end{multicols} + +%%% exemple 3 + +Les options de \verb+\psSolid+ acceptent des commandes postcript, et +en particulier les boucles \verb+for+. + +Ainsi l'instruction \verb+[numfaces=0 1 5 {} for]+ demande la +numérotation de toutes les faces dont l'indice est compris entre $0$ +et $5$. L'instruction \verb+[numfaces=8 3 23 {} for]+ demande la +numérotation d'une face sur $3$ entre les indices $8$ et $23$. + +\begin{multicols}{2} +\bgroup +\psset{unit=0.75} +\psset{viewpoint=50 -20 10 rtp2xyz,Decran=50} +\begin{pspicture*}(-4,-3)(4,3) +\psframe(-4,-3)(4,3) +\axesIIID(0,0,0)(8,3,2) +\psSolid[object=grille, + RotY=90, + RotZ=180, + ngrid=1., + fontsize=15, + numfaces= + 0 1 5 {} for + 8 3 23 {} for, + base=-2 2 -3 3, + visibility=false, + action=draw](0,0,0) +\end{pspicture*} +\egroup + +\columnbreak + +\begin{verbatim} +\axesIIID(0,0,0)(8,3,2) +\psSolid[object=grille, + RotY=90, + RotZ=180, + ngrid=1., + fontsize=15, + numfaces= + 0 1 5 {} for + 8 3 23 {} for, + base=-2 2 -3 3, + visibility=false, + action=draw](0,0,0) +\end{verbatim} +\end{multicols} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-objfile.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-objfile.tex new file mode 100644 index 00000000000..9be972bf390 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-objfile.tex @@ -0,0 +1 @@ +\section {Fichiers .obj} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-offfile.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-offfile.tex new file mode 100644 index 00000000000..0c33511b12d --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-offfile.tex @@ -0,0 +1 @@ +\section {Fichiers .off} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-opacity.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-opacity.tex new file mode 100644 index 00000000000..337c7411b34 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-opacity.tex @@ -0,0 +1,13 @@ +\section {Gestion de la transparence} + + +Le paramètre \Cadre{[opacity=$k$]} avec $k$ réel vérifiant $0\leq +k\leq 1$, permet de définir le niveau d'opacité pour l'ensemble des +tracés qui suivent. En code jps, on utilise l'instruction équivalente +\Cadre{$k$ setfillopacity}. Cette dernière trouve notamment son +application dans l'option \verb+fcol+. Par exemple, l'instruction +\begin{verbatim} +fcol=0 (.5 setfillopacity yellow) +\end{verbatim} +définit la face d'indice $0$ comme étant jaune, avec une opacité de +$0, 5$. diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-parametres.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-parametres.tex new file mode 100644 index 00000000000..d745f3df6b4 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-parametres.tex @@ -0,0 +1,166 @@ +\section{Les paramètres de \texttt{pst-solid}} + +\begin{longtable}{ + |>{\bfseries\ttfamily\color{blue}}l + |>{\centering}m{2cm} |m{10cm}|} + \hline + \multicolumn{1}{|c|}{\textbf{Paramètre}}& + \multicolumn{1}{c|}{\textbf{Défaut}}& + \multicolumn{1}{c|}{\textbf{Signification}} \\ \hline\hline +\endfirsthead +\hline + \multicolumn{1}{|c|}{\textbf{Paramètre}}& + \multicolumn{1}{c|}{\textbf{Défaut}}& + \multicolumn{1}{c|}{\textbf{Signification}} \\ \hline\hline +\endhead +\multicolumn{3}{|r|}{\textit{Suite à la page suivante}}\\ \hline +\endfoot +\multicolumn{3}{|r|}{\textit{Fin de la table}}\\ \hline +\endlastfoot +viewpoint&10 10 10&coordonnées du point de vue\\\hline +%SphericalCoor&false&coordonnées du point de vue en mode sphérique si \texttt{SphericalCoor}\\\hline +a&2&arête du cube, rayon de la sphère circonscrite aux polyèdres réguliers, l'une des arêtes du parallélépipède\\\hline +r&2&rayon du cylindre et de la sphère\\\hline +h&6&hauteur du cylindre, cône, tronc de cône, du prisme\\ \hline +r0&1.5&rayon intérieur du tore\\ \hline +r1&4&rayon moyen du tore\\ \hline +phi&0&latitude pour découper la calotte sphérique vers la bas\\ \hline +theta&90&latitude pour découper la calotte sphérique vers le haut\\ \hline +a,b et c& 4& les 3 arêtes du parallélépipède\\ \hline +base&-1 -1 1 -1 0 1&coordonnées d'un triangle, base triangulaire par défaut\\ \hline +axe&0 0 1&axe du prisme\\ \hline +action&draw**&utilise l'algorithme du peintre pour tracer le solide sans les arêtes cachées et avec coloration des +faces\\ \hline +lightsrc&20 30 50&coordonnées cartésiennes de la source lumineuse\\ \hline +lightintensity&2&intensité de la source de lumière\\ \hline +ngrid&n1 n2& permet à l'utilisateur de spécifier la finesse du maillage pour le solide considéré\\ \hline +mode&0&permet de passer du maillage prédéfini le plus grossier \texttt{[mode=0]} au maillage prédéfini +le plus fin \texttt{mode=4}\\ \hline +grid& true& si l'option \texttt{[grid]} est écrite, alors les lignes du maillage ne sont pas tracées\\ \hline +biface&true& dessine la face intérieure, si on ne souhaite représenter que l'extérieur, écrire alors : \texttt{[biface]} \\ \hline +algebraic&false&permet si \texttt{algebraic=true} (écrire alors : \texttt{[algebraic]}) de donner l'expression algébrique de +l'équation de la surface, le package \texttt{pstricks-add} doit être chargé dans le préambule. \\ \hline +fillcolor&white&permet de spécifier la couleur souhaitée pour les faces externes du solide.\\ \hline +incolor&green&permet de spécifier la couleur souhaitée pour les faces intérieures du solide.\\ \hline +hue& &permet de spécifier le dégradé de couleurs pour les faces extérieures du solide.\\ \hline +fcol&&permet de spécifier dans l'ordre : + le numéro de la facette de 0 à n-1, pour n facettes ; + la couleur de la facette : fcol=0 (Apricot) 1 (Aquamarine) etc. \\ \hline +rm&&permet de supprimer des facettes visibles : \texttt{rm=1 2 8} supprime les facettes 1, 2 et 8 \\ \hline +show&&permet de pointer les sommets : \texttt{show=0 1 2 3} pointe les sommets \texttt{0,1,2 et 3}, \texttt{show=all} pointe tous les sommets.\\ \hline +num&&permet de numéroter les sommets : \texttt{num=0 1 2 3} numérote les sommets \texttt{0,1,2 et 3}, \texttt{num=all} numérote tous les sommets.\\ \hline +name&&nom attribué à un solide\\ \hline +solidname&&nom du solide activé\\ \hline +RotX&0&angle de rotation du solide autour de $Ox$ en degrés\\ \hline +RotY&0&angle de rotation du solide autour de $Oy$ en degrés\\ \hline +RotZ&0&angle de rotation du solide autour de $Oz$ en degrés\\ \hline +hollow&false& dessine l'intérieur des solides creux : cylindre, cône, tronc de cône et +prisme\\ \hline +decal&-2&permet de faire subir un décalage +des sommets dans le paramètre \texttt{base}\\ \hline +axesboxed& false& cette option permet de tracer un quadrillage 3D et les axes de façon semi-automatique, car il convient de placer à la main + les bornes de $z$, écrire \texttt{[axesboxed]}\\ \hline +Zmin&$-4$& valeur minimale de $z$\\ \hline +Zmax&$4$& valeur maximale de $z$\\ \hline +QZ&$0$&permet de décaler verticalement le repère de la valeur choisie\\ \hline +spotX&dr&permet de placer, si le choix fait par défaut n'est pas satisfaisant, les valeurs des graduations sur l'axe des $x$ autour de l'extrémité de la graduation.\\ \hline +spotY&dl&``idem''\\ \hline +spotZ&l&``idem''\\ \hline +resolution&36&nombre de points lors du tracé d'une courbe\\ \hline +range&-4 4 & limites pour les fonctions numériques\\ \hline +function& f &nom attribué à une fonction \\ \hline +path&\texttt{newpath 0 0 moveto}& le chemin à projeter\\ \hline +normal&0 0 1& normale à la surface à définir\\ \hline +text&& texte à projeter\\ \hline +visibility&false& si ``false'' le texte appliqué une face cachée n'est pas affiché\\ \hline +chanfreincoeff&0.2&coefficient de chanfreinage\\ \hline +trunccoeff&0.25&coefficient de troncature\\ \hline +affinagecoeff&0.8&coefficient d'affinage\\ \hline +dualregcoeff&1&coefficient du dual\\ \hline +intersectiontype&-1& type d'intersection plan/solide, une valeur positive trace l'intersection\\ \hline +plansection&&équations des plans de section, s'utilise que pour la trace de l'intersection \\ \hline +plansepare&&équation du plan de séparation du solide\\ \hline +{\small intersectionlinewidth}&1&épaisseur de la ligne d'intersection en points, s'il y a plusieurs plans avec des épaisseurs différentes, les valeurs sont données à la suite, par exemple : intersectionlinewidth=1 1.5 1.8 etc.\\ \hline +intersectioncolor&(rouge)&couleur de la ligne d'intersection du plan de section, s'il y a plusieurs sections, il faut placer les couleurs à la suite (rouge) (vert) etc.\\ \hline +intersectionplan&[0 0 1 0]&équations des plans d'intersection\\ \hline +definition&& pour définir un point, un vecteur, un plan, un arc sphérique etc.\\ \hline +args&&ce sont les arguments associés aux définitions précédentes\\ \hline +transform&&transformation d'un solide par application de formules\\ \hline +section&\textbackslash Section&coordonnées des sommets de la section de l'objet de révolution\\ \hline +planmarks&false&graduation des axes du plan\\ \hline +plangrid&false&quadrillage du plan \\ \hline +showbase&false&dessine les vecteurs unitaire du plan\\ \hline +showBase&false&dessine les vecteurs unitaire et la normale au plan\\ \hline +deactivatecolor&false&désactive la gestion des couleurs par PSTricks\\ \hline +transform&&formule(s) à appliquer aux sommets d'un solide pour le transformer\\ \hline +axisnames&\{x,y,z\}& étiquettes des axes en 3D\\ \hline +axisemph&&style des étiquettes des axes en 3D\\ \hline +showOrigin&true&trace les axes à partir de l'origine ou non si false\\ \hline +mathLabel&true&écriture des étiquettes des axes en mode mathématique ou non\\ \hline +\end{longtable} + + +\section{Les poèmes} +Dans ma jeunesse, j'écoutais le son de la pluie dans les maisons de plaisir ; + +les tentures frissonnaient sous la lumière rouge des candélabres. + +Dans mon âge mûr, j'ai écouté le son de la pluie en voyage, à bord d'un bateau ; + +les nuages pesaient bas sur l'immensité du fleuve ; + +une oie sauvage séparée de ses soeurs appelait dans le vent d'ouest. + +Aujourd'hui, j'écoute le son de la pluie sous le charme d'un ermitage monastique. + +Ma tête est chenue, chagrins et bonheurs, séparations et retrouvailles - tout est vanité. + +Dehors, sur les marches, les gouttes tambourinent jusqu'à l'aube. + +\begin{flushleft} Juang Jie dans \textit{Les idées de autres} de Simon Leys\end{flushleft} + + O cet effrayant torrent tout au fond + +O et la mer la mer écarlate quelquefois comme du feu + +Et les glorieux couchers de soleil + +Et les figuiers dans les jardins de l'Alameda + +Et toutes les ruelles bizarres + +Et les maisons roses et bleues et jaunes + +Et les roseraies et les jasmins et les géraniums + +Et les cactus de Gibraltar quand j'étais jeune fille + +Et une Fleur de la montagne oui + +Quand j'ai mis la rose dans mes cheveux comme les filles Andalouses + +Ou en mettrai-je une rouge oui + +Et comme il m'a embrassée sous le mur mauresque + +Je me suis dit après tout aussi bien lui qu'un autre + +Et alors je lui ai demandé avec les yeux de demander encore oui + +Et alors il m'a demandé si je voulais oui + +Dire oui ma fleur de la montagne + +Et d'abord je lui ai mis mes bras autour de lui oui + +Et je l'ai attiré sur moi pour qu'il sente mes seins tout parfumés oui + +Et son coeur battait comme un fou + +Et oui j'ai dit oui + +Je veux bien Oui. + +\begin{flushleft} +Monologue de \textit{Molly Bloom} dans \textit{Ulysse} de James Joyce +\end{flushleft} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-plan.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-plan.tex new file mode 100644 index 00000000000..3954dc7add1 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-plan.tex @@ -0,0 +1,612 @@ +\section {L'objet \texttt{plan}} + +\subsection {Présentation~: type \textsl{plan\/} et type \textsl {solid} } + +Le statut de l'objet \verb+plan+ est tout à fait particulier dans +\verb+pst-solides3d+. En effet, tous les objets vus jusqu'à présents +ont une structure commune~: ils sont de type \textsl{solid}. Autrement +dit ils sont entièrement définis par une liste de sommets, de faces et +de couleurs. +Or pour de nombreuses applications, il est nécessaire d'avoir des +renseignements complémentaires pour un plan~: une origine, une +orientation, une base de référence, etc... + +Pour pouvoir répondre à ces exigences, il a été créé une autre +structure de données, dite de type \textsl {plan}, qui permet de +stocker toutes les informations nécessaires. Toutes les +manipulations de plan vont transiter par un tel objet. Ce n'est qu'au +moment de la représentation que l'objet de type \textsl {plan\/} sera +converti en un objet de type \textsl {solid\/} représentable par la +macro \verb+\psSolid+. + +Un objet de type \textsl{plan\/} permet donc de décrire une portion de +plan affine orienté. Pour une définition complète d'un tel objet, il +nous faut une origine +$I$, une base vectorielle $(\vec u, \vec v)$ de ce +plan, une étendue sur l'axe $(I, \vec u)$ et une étendue sur l'axe +$(I, \vec v)$. +De plus, on pourra spécifier le maillage souhaité, autrement dit le +nombre de facettes utilisées pour représenter cette portion de plan +affine lors de la transformation en objet de type \textsl{solid}. + +Ce type d'objet peut être utilisé pour définir des sections +planes, et il est obligatoire pour définir un plan de projection. + +Son utilisation est transparente pour l'utilisateur PSTricks. La seule +chose à savoir, c'est que lorsque l'on manipule un +\verb+[object=plan]+ avec la macro \verb+\psSolid+, on manipule en +fait deux objets en même temps~: l'un de type \textsl{plan\/} et +l'autre de type \textsl{solid}. Et lorsque l'on demande une sauvegarde +de cet objet (voir le chapitre <<\textsl {Utilisation avancée}>>) sous +le nom $monplan$ par exemple avec l'option \verb+[name=monplan]+, ce +sont en fait $2$ sauvegardes qui sont effectuées. La première, sous le +nom $monplan$, est l'objet de type \textsl{plan}, et la deuxième, sous +le nom $monplan\_s$, est l'objet de type \textsl {solid}. + + +\subsection {Définir un plan orienté} + +Pour créer un tel objet, on utilise \Cadre{[object=plan]} qui +utilise plusieurs arguments~: + +\begin{itemize} + +\item \Cadre{[definition=...]} qui permet de spécifier la méthode + choisie pour définir le plan + +\item \Cadre{[args=...]} qui permet de spécifier les arguments + nécessaires à la méthode choisie précédemment + +\item \Cadre{[bases=$xmin$ $xmax$ $ymin$ $ymax$]} qui permet de + spécifier l'étendue sur chacun des axes. + +\item \Cadre{[phi]} (valeur $0$ par défaut) qui spécifie l'angle de + rotation (en degrés) du plan autour de sa normale après sa + définition première. + + +\end{itemize} + +\subsection {Options spécifiques} + +L'objet \verb+plan+ possède plusieurs options spécifiques d'affichage~: +\Cadre{[planmarks]} qui projette l'impression des axes et graduations, +\Cadre{[plangrid]} qui projette l'impression d'un quadrillage, +\Cadre{[showbase]} qui projette l'impression des vecteurs de base du +plan, et +\Cadre{[showBase]} (noter la majuscule) qui projette l'impression des +vecteurs de base du plan et qui dessine le vecteur normal associé. + +Ces options sont valables quelque soit le mode de définition choisi +pour le plan. + +\begin{center} +\psset{unit=0.4} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(6,4) +\psframe(-5,-4)(5,3) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, +] +\end{pspicture*} +%% +\psset{unit=1} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(6,4) +\psframe(-5,-4)(5,3) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + planmarks, +] +\end{pspicture*} +%% +\psset{unit=1} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(6,4) +\psframe(-5,-4)(5,3) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + plangrid, +] +\end{pspicture*} +%% +\psset{unit=1} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(6,4) +\psframe(-5,-4)(5,3) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + showbase, +] +\end{pspicture*} +%% +\psset{unit=1} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(6,4) +\psframe(-5,-4)(5,3) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + showBase, +] +\end{pspicture*} +%% +\psset{unit=1} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(6,4) +\psframe(-5,-4)(5,3) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + plangrid, + showBase, + action=none +] +\end{pspicture*} +\end{center} + +Ces options peuvent être utilisées, même si le plan n'est pas +représenté. + +\subsection {Définir un plan à partir d'une équation cartésienne} + +On appelle \textsl{équation cartésienne} d'un plan affine une équation +du type +\[ + ax+by+cz+d=0 +\] +La donnée des coefficients $a$, $b$, $c$ et $d$ permet de définir un +plan affine. + +\subsubsection {Utilisation avec l'orientation et l'origine par défaut} + +Pour définir un plan affine, on peut utiliser +\Cadre{[definition=equation]}, et \Cadre{[args=\{[$a$ $b$ $c$ +$d$]\}]}. L'orientation et l'origine du plan affine sont alors choisis +par le package. + +Par exemple, le quadruplet $(a, b, c, d) = (0, 0, 1, 0)$ désigne le +plan d'équation $z=0$~: + +\begin{multicols}{2} +%\begin{center} +\psset{unit=0.65} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(5,4) +\psframe(-5,-4)(5,4) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase, +] +\axesIIID(0,0,0)(2.2,3.2,4) +\end{pspicture*} +%\end{center} + +\columnbreak + +\begin{verbatim} + \psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase, + ] +\end{verbatim} +\end{multicols} + +Le paramètre \Cadre{[base=xmin xmax ymin ymax]} permet de spécifier +l'étendue sur chacun des axes. + +\subsubsection {Spécification de l'origine} + +Le paramètre \Cadre{[origine=$x_0$ $y_0$ $z_0$]} permet de spécifier +l'origine du plan affine. Si le point $(x_0, y_0, z_0)$ proposé ne +vérifie pas l'équation du plan, alors on ne tient pas compte de cette +origine. + +Par exemple, voici une représentation du plan d'équation $z=0$ pour +laquelle on a spécifié $(1, 2, 0)$ comme origine~: + +\begin{multicols}{2} +\psset{unit=0.65} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-4,-5.5)(6,4) +\psframe(-4,-5.5)(6,4) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + fillcolor=Aquamarine, + origine=1 2 0, + base=-2.2 2.2 -3.2 3.2, + planmarks, +] +\axesIIID(0,0,0)(2.2,3.2,4) +\end{pspicture*} + +\columnbreak + +\begin{verbatim} + \psSolid[object=plan, + definition=equation, + args={[0 0 1 0]}, + origine=1 2 0, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + planmarks, + ] +\end{verbatim} +\end{multicols} + + + +\subsubsection {Spécification de l'orientation} + +Si l'orientation proposée ne convient pas, on peut spécifier un angle +de rotation $\alpha $ (en degrés) autour de la normale avec la syntaxe +\Cadre{[args=\{[a b c d] $\alpha $\}]}. + +\begin{multicols}{2} + +\psset{unit=0.65} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(5,4) +\psframe(-5,-4)(5,4) +\psSolid[object=plan, + definition=equation, + args={[0 0 1 0] 90}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + planmarks, +] +\axesIIID(0,0,0)(3.2,2.2,4) +\end{pspicture*} + +\columnbreak +\begin{verbatim} + \psSolid[object=plan, + definition=equation, + args={[0 0 1 0] 90}, + fillcolor=Aquamarine, + base=-2.2 2.2 -3.2 3.2, + planmarks, + ] +\end{verbatim} +\end{multicols} + +\subsection {Définir un plan à partir d'un vecteur normal et d'un point} + +Il est possible de définir un plan affine à partir d'un point et d'un +vecteur normal. On utilise pour cela le paramètre +\Cadre{[definition=normalpoint]}. + +On peut ensuite préciser ou non l'orientation. + +\subsubsection {Méthode 1~: Sans préciser l'orientation} + +On utilise \Cadre{[args=\{$x_0$ $y_0$ $z_0$ [$a$ $b$ $c$]\}]} où $(x_0, +y_0, z_0)$ est l'origine du plan affine, et $(a, b, c)$ un vecteur normal à +ce plan. + +\begin{multicols}{2} + +\psset{unit=0.65} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(5,4) +\psframe(-5,-4)(5,4) +\psSolid[object=plan, + definition=normalpoint, + args={0 0 0 [0 0 1]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase, +] +\axesIIID(0,0,0)(2.2,3.2,4) +\end{pspicture*} + +\columnbreak + +\begin{verbatim} + \psSolid[object=plan, + definition=normalpoint, + args={0 0 0 [0 0 1]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase, + ] +\end{verbatim} +\end{multicols} + +\subsubsection {Méthode 2~: préciser un angle de rotation} + +On utilise \Cadre{[args=\{$x_0$ $y_0$ $z_0$ [$a$ $b$ $c$ $\alpha +$]\}]} où $(x_0, y_0, z_0)$ est l'origine du plan affine, $(a, b, +c)$ un vecteur normal à ce plan, et $\alpha $ l'angle de rotation (en +degrés) autour de l'axe normal. + +%\newpage + +\begin{multicols}{2} + +\psset{unit=0.65} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10, fontsize=10} +\begin{pspicture*}(-5,-4)(5,4) +\psframe(-5,-4)(5,4) +\psSolid[object=plan, + definition=normalpoint, + args={0 0 0 [0 0 1 45]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase, +] +\axesIIID(0,0,0)(2.2,3.2,4) +\end{pspicture*} + +\columnbreak + +\begin{verbatim} + \psSolid[object=plan, + definition=normalpoint, + args={0 0 0 [0 0 1 45]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase, + ] +\end{verbatim} +\end{multicols} + +\subsubsection {Méthode 3~: préciser le premier vecteur de la base} + +On utilise \Cadre{[args=\{$x_0$ $y_0$ $z_0$ [$u_x$ $u_y$ $u_z$ $a$ $b$ +$c$ ]\}]} où $(x_0, y_0, z_0)$ est l'origine du plan affine, +$(a, b, c)$ un vecteur normal à ce plan, et $(u_x, u_y, u_z)$ le +premier vecteur d'une base de ce plan. + +\begin{multicols}{2} + +\psset{unit=0.65} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(5,4) +\psframe(-5,-4)(5,4) +\psSolid[object=plan, + definition=normalpoint, + args={0 0 0 [1 1 0 0 0 1]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase, +] +\axesIIID(0,0,0)(2.2,3.2,4) +\end{pspicture*} + +\columnbreak + +\begin{verbatim} + \psSolid[object=plan, + definition=normalpoint, + args={0 0 0 [1 1 0 0 0 1]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase, + ] +\end{verbatim} +\end{multicols} + +\subsubsection {Méthode 4~: préciser le premier vecteur de la base et + un angle de rotation} + +On utilise \Cadre{[args=\{$x_0$ $y_0$ $z_0$ [$u_x$ $u_y$ $u_z$ $a$ $b$ +$c$ $\alpha $]\}]} où $(x_0, y_0, z_0)$ est l'origine du plan affine, +$(a, b, c)$ un vecteur normal à ce plan, et $(u_x, u_y, u_z)$ le +premier vecteur d'une base de ce plan, auquel on fait subir une +rotation de $\alpha $ (en degrés) autour de l'axe normal. + +\begin{multicols}{2} + +\psset{unit=0.65} +\psset{viewpoint=10 18 60 rtp2xyz,Decran=10,fontsize=10} +\begin{pspicture*}(-5,-4)(5,4) +\psframe(-5,-4)(5,4) +\psSolid[object=plan, + definition=normalpoint, + args={0 0 0 [1 1 0 0 0 1 45]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase, +] +\axesIIID(0,0,0)(2.2,3.2,4) +\end{pspicture*} + +\columnbreak + +\begin{verbatim} + \psSolid[object=plan, + definition=normalpoint, + args={0 0 0 [1 1 0 0 0 1 45]}, + fillcolor=Aquamarine, + planmarks, + base=-2.2 2.2 -3.2 3.2, + showbase, + ] +\end{verbatim} +\end{multicols} + +\subsection {Définition d'un plan à partir d'une face de solide} + +On utilise \Cadre{[definition=solidface]} avec les arguments +\Cadre{[args=$name$ $i$]} où $name$ est un nom désignant le solide et +$i$ est l'indice de la face considérée. On prend pour origine le +centre de la face considérée. + +Dans l'exemple ci-dessous, on définit le plan par la face d'indice $0$ +du cube nommé $A$. + +\begin{multicols}{2} + +\begin{pspicture*}(-4,-2)(4,2.3) +\psframe(-4,-2)(4,2.3) +\psset{viewpoint=10 18 20 rtp2xyz,Decran=10} +\psset{solidmemory} +\psSolid[object=cube,a=2,fontsize=20,numfaces=all,name=A] +\psSolid[object=plan, + definition=solidface, + args=A 0, + showBase, +] +\composeSolid +\end{pspicture*} + +\columnbreak + +\begin{verbatim} +\psset{solidmemory} +\psSolid[object=cube,a=2,fontsize=20,numfaces=all, + name=A] +\psSolid[object=plan, + definition=solidface, + args=A 0, + showBase, +] +\end{verbatim} +\end{multicols} + +Si l'utilisateur précise les coordonnées $(x, y, z)$ dans la macro +\verb+\psSolid[...](+$x,y,z$\verb+)+, alors le plan construit est +parallèle à la face d'indice $i$ du solide $name$, et il passe par le +point $(x, y, z)$ qui est pris pour origine. + +\begin{multicols}{2} + +\begin{pspicture*}(-4,-2)(4,3.5) +\psframe(-4,-2)(4,3.5) +\psset{viewpoint=10 18 25 rtp2xyz,Decran=10} +\psset{solidmemory} +\psSolid[object=cube,a=2,fontsize=20,numfaces=all,name=A] +\psSolid[object=plan, + definition=solidface, + args=A 0, + showBase, +](0,0,2) +\composeSolid +\end{pspicture*} + +\columnbreak + +\begin{verbatim} +\psset{solidmemory} +\psSolid[object=cube,a=2,fontsize=20,numfaces=all, + name=A] +\psSolid[object=plan, + definition=solidface, + args=A 0, + showBase, +](0,0,2) +\end{verbatim} +\end{multicols} + + +%% Le paramètre \verb+[base=+$x{min}$ ${x{max}}$ ${y{min}}$ +%% ${y{max}}$\verb+]+ permet de spécifier la taille de la grille. +%% +%% \begin{multicols}{2} +%% \psset{unit=1} +%% \psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +%% \begin{pspicture}(-4,-2)(3,3) +%% \psframe(-4,-2)(3,3) +%% \psSolid[object=grille, +%% base=0 4 -3 3, +%% linecolor=gray](0,0,0) +%% \axesIIID(0,0,0)(4,3,3) +%% \end{pspicture} +%% +%% \columnbreak +%% +%% \begin{verbatim} +%% \psSolid[object=grille, +%% base=0 4 -3 3, +%% linecolor=gray](0,0,0) +%% \end{verbatim} +%% \end{multicols} +%% +%% Le paramètre \verb+[ngrid=+$n_1$ $n_2$\verb+]+ permet de spécifier le +%% maillage de la grille. Si $n_2$ est absent, on considère que $n_2 = +%% n_1$. +%% +%% Si $n_1$ est entier, il représente le nombre de mailles sur l'axe +%% $Ox$. S'il est réel, il représente le pas de maillage sur l'axe +%% $Ox$. Par exemple, le nombre codé \verb+1+ est entier, alors que celui +%% codé \verb+1.+ est réel (noter le point). +%% +%% +%% \begin{multicols}{2} +%% \psset{unit=1} +%% \psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +%% \begin{pspicture}(-4,-2)(3,3) +%% \psframe(-4,-2)(3,3) +%% \psSolid[object=grille, +%% ngrid=1, +%% base=0 4 -3 3, +%% linecolor=gray](0,0,0) +%% \axesIIID(0,0,0)(3,3,3) +%% \end{pspicture} +%% +%% \columnbreak +%% +%% \begin{verbatim} +%% \psSolid[object=grille, +%% ngrid=1, +%% base=0 4 -3 3, +%% linecolor=gray](0,0,0) +%% \end{verbatim} +%% \end{multicols} +%% +%% \begin{multicols}{2} +%% \psset{unit=1} +%% \psset{viewpoint=50 50 20 rtp2xyz,Decran=30} +%% \begin{pspicture}(-4,-2)(3,3) +%% \psframe(-4,-2)(3,3) +%% \psSolid[object=grille, +%% ngrid=1. 1, +%% base=0 4 -3 3, +%% linecolor=gray](0,0,0) +%% \axesIIID(0,0,0)(3,3,3) +%% \end{pspicture} +%% +%% \columnbreak +%% +%% \begin{verbatim} +%% \psSolid[object=grille, +%% ngrid=1. 1, +%% base=0 4 -3 3, +%% linecolor=gray](0,0,0) +%% \end{verbatim} +%% \end{multicols} +%% +%% diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-point.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-point.tex new file mode 100644 index 00000000000..d86590be240 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-point.tex @@ -0,0 +1,101 @@ +\section {Point} + +\subsection {Définition à partir des coordonnées} + +L'objet \Cadre{point} permet de définir un point. Sous sa forme la +plus simple, on utilise l'argument \Cadre{[args=$x$ $y$ $z$]} pour +en spécifier les coordonnées. Si on a précédemment nommé $M$ un point +$(x, y, z)$ (voir chapitre \textsl{Utilisation avancée\/}), on peut +utiliser l'argument \Cadre{[args=$M$]}. + +\subsection {Autres modes de définition} + +Il existe d'autres possibilités pour définir un point. Voici une +liste des définitions possibles avec les arguments correspondant~: + +\begin{itemize} + +\item \Cadre {[definition=solidgetsommet]} ; +\verb+args=+ $solik$ $k$. +Le sommet d'indice $k$ du solid $solid$. + +\item \Cadre {[definition=solidcentreface]} ; +\verb+args=+ $solik$ $k$. +Le centre de la face d'indice $k$ du solid $solid$. + +\item +\Cadre {[definition=isobarycentre3d]} +\verb+args=+ + {\{$[$ $A_0$ $\ldots $ $A_{n}$ $]$\}} + {le barycentre du système $[(A_0, 1) ; + \ldots ; (A_n, 1)]$} + +\item +\Cadre {[definition=barycentre3d]} +\verb+args=+ + {\{$[$ $A$ $a$ $B$ $b$ $]$\}} + {le barycentre du système $[(A, a) ; (B, b)]$} + +\item +\Cadre {[definition=hompoint3d]} +\verb+args=+ + {$M$ $A$ $\alpha $} + {l'image de $M$ par l'homothétie de centre $A$ et de + rapport $\alpha $} + +\item +\Cadre {[definition=sympoint3d]} +\verb+args=+ + {$M$ $A$} + {l'image de $M$ par la symétrie de centre $A$} + +\item +\Cadre {[definition=translatepoint3d]} +\verb+args=+ + {$M$ $u$} + {l'image de $M$ par la translation de vecteur $\vec u$} + +\item +\Cadre {[definition=scaleOpoint3d]} +\verb+args=+ + {$x$ $y$ $z$ $k_1$ $k_2$ $k_3$} + {opère une \og dilatation\fg \ des coordonnées du point $M (x, y, + z)$ sur les axes $Ox$, $Oy$ et $Oz$ suivant les facteurs $k_1$, + $k_2$ et $k_3$} + +\item +\Cadre {[definition=rotateOpoint3d]} +\verb+args=+ + {$M$ $\alpha_x$ $\alpha_y$ $\alpha_z$} + {l'image de $M$ par les rotations successives de centre $O$ et d'angles + respectifs $\alpha_x$ $\alpha_y$ $\alpha_z$ sur les axes $Ox$, + $Oy$, $Oz$} + + + +%% Projection orthogonale d'un point 3d sur un plan +%% Mx My Mz (=le point a projeter) +%% Ax Ay Az (=un point du plan) +%% Vx Vy Vz (un vecteur normal au plan) +\item +\Cadre {[definition=orthoprojplane3d]} +\verb+args=+ + {$M$ $A$ $\vec v$} + {Le projeté du point $M$ sur le plan $P$ défini + par le point $A$ et le vecteur $\vec v$, normal à $P$.} + +\item +\Cadre {[definition=milieu3d]} +\verb+args=+ + {$A$ $B$} + {Le milieu de $[AB]$} + +\item +\Cadre {[definition=addv3d]} +\verb+args=+ + {$A$ $u$} + {Le point $B$ tel que $\overrightarrow {AB} = \vec u$} + +\end{itemize} + + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-pointagesommets.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-pointagesommets.tex new file mode 100644 index 00000000000..e36ff8bf1b7 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-pointagesommets.tex @@ -0,0 +1,51 @@ +\newpage +\section {Pointage et numérotation des sommets} + +Une option permet de pointer les sommets et/ou de les numéroter soit +globalement, soit individuellement. +\begin{itemize} + \item \Cadre{[show=all]} pointe tous les sommets ; + \item \Cadre{[num=all]} numérote tous les sommets ; + \item \Cadre{[show=0 1 2 3]} pointe les sommets \texttt{[0,1,2 et 3]} ; + \item \Cadre{[num=0 1 2 3]} numérote les sommets \texttt{[0,1,2 et 3]}. +\end{itemize} +% +\begin{multicols}{2} +\psset{unit=0.5} +\setlength{\columnseprule}{1pt} +\centerline{ +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psset{Decran=20} +\psSolid[ + action=draw, + object=cube, + RotZ=30, + show=all,num=all, +]% +\end{pspicture}} +\begin{verbatim} +\psSolid[action=draw, + object=cube,RotZ=30, + show=all,num=all]% +\end{verbatim} +\columnbreak +\centerline{ +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psset{Decran=20} +\psSolid[action=draw, + object=cube, + RotZ=30, + show=0 1 2 3, + num=0 1 2 3, +]% +\end{pspicture}} +\begin{verbatim} +\psSolid[object=cube, + RotZ=30,action=draw, + show=0 1 2 3, + num=0 1 2 3]% +\end{verbatim} +\end{multicols} +%\newpage diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-positionnerpointconnu.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-positionnerpointconnu.tex new file mode 100644 index 00000000000..3e1073f6592 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-positionnerpointconnu.tex @@ -0,0 +1,74 @@ +\section{Positionner un point connu} + +\begin{verbatim} +\psPoint(x,y,z){name} +\end{verbatim} +C'est une commande analogue à \verb+\pnode(! x y){name}+. Elle place +dans le n\oe{}ud \texttt{(name)} le point de coordonnées $(x,y,z)$, +vu avec le point de vue choisi \texttt{viewpoint=vx vy vz}. On peut +donc ensuite s'en servir pour marquer des points, tracer des lignes, +des polygones etc. + +Plaçons les positions des centres des atomes de la molécule d'éthanal +$\mathrm{CH_3COH}$. + +\medbreak +\begin{minipage}{0.5\linewidth} +\begin{pspicture}(-4,-4)(4,5) +\psset{viewpoint=100 50 20 rtp2xyz,Decran=20} +\psframe(-4,-4)(4,5) +\axesIIID(3,3,3)(20,20,20) +\psPoint(-4.79,2.06,0){C1} +\psPoint(-4.79,15.76,0){Ox} +\psPoint(8.43,5.57,0){C2} +\psPoint(-14.14,3.34,0){H3} +\psPoint(14.14,-2.94,8.90){H6} +\psPoint(14.14,-2.94,-8.90){H7} +\psPoint(6.43,-16.29,0){H8} +\psline(C1)(H3) +\psline(C2)(H7) +\psline(C2)(H8) +\psline(C1)(C2) +\psline[doubleline=true](C1)(Ox) +\psline(C2)(H6) +\uput[r](H3){$\mathrm{H_1}$} +\uput[l](H6){$\mathrm{H_2}$} +\uput[l](H7){$\mathrm{H_3}$} +\uput[l](H8){$\mathrm{H_4}$} +\uput{0.25}[u](C1){$\mathrm{C_1}$} +\uput{0.25}[d](C2){$\mathrm{C_2}$} +\uput{0.25}[r](Ox){$\red\mathrm{O}$} +\psdots[dotstyle=o,dotsize=0.3](H3)(H6)(H7)(H8) +\psdots[dotsize=0.4](C1)(C2) +\psdot[linecolor=red,dotsize=0.4](Ox) +\end{pspicture} +\end{minipage} +\begin{minipage}{0.45\linewidth} +\begin{verbatim} +\psPoint(-4.79,2.06,0){C1} +\psPoint(-4.79,15.76,0){Ox} +\psPoint(8.43,5.57,0){C2} +\psPoint(-14.14,3.34,0){H3} +\psPoint(14.14,-2.94,8.90){H6} +\psPoint(14.14,-2.94,-8.90){H7} +\psPoint(6.43,-16.29,0){H8} +\psline(C1)(H3) +\psline(C2)(H7) +\psline(C2)(H8) +\psline(C1)(C2) +\psline[doubleline=true](C1)(Ox) +\psline(C2)(H6) +\uput[r](H3){$\mathrm{H_1}$} +\uput[l](H6){$\mathrm{H_2}$} +\uput[l](H7){$\mathrm{H_3}$} +\uput[l](H8){$\mathrm{H_4}$} +\uput{0.25}[u](C1){$\mathrm{C_1}$} +\uput{0.25}[d](C2){$\mathrm{C_2}$} +\uput{0.25}[r](Ox){$\red\mathrm{O}$} +\psdots[dotstyle=o,dotsize=0.3] + (H3)(H6)(H7)(H8) +\psdots[dotsize=0.4](C1)(C2) +\psdot[linecolor=red,dotsize=0.4](Ox) +\end{verbatim} +\end{minipage} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-positionnersolide.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-positionnersolide.tex new file mode 100644 index 00000000000..9e8505f9093 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-positionnersolide.tex @@ -0,0 +1,154 @@ +\newpage +\section {Positionner un solide} +\subsection{Translation} +La commande suivante +\verb+\psSolid[object=cube,+\textsl{options}\verb+](x,y,z)+ déplace le +centre du cube au point de coordonnées $\mathtt{(x,y,z)}$. + +L'exemple suivant va recopier le cube d'arête 1 \begin{pspicture}(-0.5,-0.5)(.5,.5) +\psset{Decran=40,viewpoint=50 35 35,a=1,lightsrc=50 30 20} +\psset{fillcolor=yellow,mode=3, + fcol= 0 (Apricot) + 1 (Lavender) + 2 (SkyBlue) + 3 (LimeGreen) + 4 (OliveGreen) + 5 (Yellow) + 6 (GreenYellow) + 7 (Cerulean) + 8 (CarnationPink)} +\psSolid[object=cube](0.5,0.5,0.5)% c1 +\end{pspicture} + aux points de coordonnées $\mathtt{(0.5,0.5,0.5)}$, $\mathtt{(4.5,0.5,0.5)}$ etc. afin que ces copies occupent les coins d'un cube d'arête 5. +\begin{center} +\begin{pspicture}(-4,-5)(5,5) +\psframe(-4,-5)(5,5) +%\psset{SphericalCoor,Decran=3,viewpoint=10 35 35,a=1,lightsrc=50 20 10} +\psset{Decran=40,viewpoint=50 35 35,a=1,lightsrc=50 30 20, + fcol= 0 (Apricot) + 1 (Lavender) + 2 (SkyBlue) + 3 (LimeGreen) + 4 (OliveGreen) + 5 (Yellow) + 6 (GreenYellow) + 7 (Cerulean) + 8 (CarnationPink)} +\psSolid[object=grille,base=0 6 0 6,fillcolor=blue!50]%% +\psSolid[object=grille,base=0 6 0 6,RotY=90,fillcolor=blue!40](0,0,6)% +\psSolid[object=grille,base=0 6 0 6,RotX=-90,fillcolor=blue!30](0,0,6)% +\psPoint(1,0.5,0.5){c11} +\psPoint(0.5,0.5,1){c12} +\psPoint(0.5,1,0.5){c13} +\psPoint(4.5,4.5,1){c21} +\psPoint(4,4.5,0.5){c22} +\psPoint(4.5,4,0.5){c23} +\psPoint(4,0.5,0.5){c41} +\psPoint(4.5,0.5,1){c42} +\psPoint(4.5,1,0.5){c43} +\psPoint(0.5,4,0.5){c51} +\psPoint(0.5,4.5,1){c52} +\psPoint(1,4.5,0.5){c53} +\psPoint(0.5,0.5,4){c61} +\psPoint(0.5,1,4.5){c62} +\psPoint(1,0.5,4.5){c63} +\psPoint(4,0.5,4.5){c71} +\psPoint(4.5,1,4.5){c72} +\psPoint(4.5,0.5,4){c73} +\axesIIID(1,1,1)(6,6,6) +{\psset{fillcolor=yellow,mode=3} +\psSolid[object=cube](0.5,0.5,0.5)% c1 +\psline[linestyle=dashed,linecolor=red](c11)(c41) +\psline[linestyle=dashed,linecolor=red](c12)(c61) +\psline[linestyle=dashed,linecolor=red](c13)(c51) +\psSolid[object=cube](4.5,0.5,0.5) +\psSolid[object=cube](0.5,4.5,0.5) +\psSolid[object=cube](0.5,0.5,4.5) +\psSolid[object=cube](4.5,4.5,4.5) +\psSolid[object=cube](4.5,0.5,4.5) +\psSolid[object=cube](4.5,4.5,0.5) +\psSolid[object=cube](0.5,4.5,4.5)} +\psSolid[object=grille,base=0 5 0 5,action=draw,linecolor=gray!50](0,0,5)% +\psSolid[object=grille,base=0 5 0 5,action=draw,linecolor=gray!50,RotY=90](5,0,5)% +\psSolid[object=grille,base=0 5 0 5,action=draw,RotX=-90,linecolor=gray!50](0,5,5)% +\end{pspicture} +\end{center} +\begin{verbatim} +\psset{fillcolor=yellow,mode=3} +\psSolid[object=cube](0.5,0.5,0.5) +\psSolid[object=cube](4.5,0.5,0.5) +\psSolid[object=cube](0.5,4.5,0.5) +\psSolid[object=cube](0.5,0.5,4.5) +\psSolid[object=cube](4.5,4.5,4.5) +\psSolid[object=cube](4.5,0.5,4.5) +\psSolid[object=cube](4.5,4.5,0.5) +\psSolid[object=cube](0.5,4.5,4.5) +\end{verbatim} +\subsection{Rotation} +La rotation s'effectue dans l'ordre autour des axes $Ox$, $Oy$ et $Oz$. Prenons l'exemple d'un parallélépipède rectangle, +\begin{pspicture}(-1,-0.2)(1,.5) +\psset{Decran=40,viewpoint=50 35 35,a=2,b=3,c=1,lightsrc=50 30 30} +\psset{fillcolor=yellow,unit=0.5, + fcol= 0 (Apricot) + 1 (Lavender) + 2 (SkyBlue) + 3 (LimeGreen) + 4 (OliveGreen) + 5 (Yellow) + 6 (Bittersweet)} +\psSolid[object=parallelepiped](0.5,0.5,0.5)% +\end{pspicture} +que l'on va faire tourner +successivement autour des axes $Ox$, $Oy$ et $Oz$. + +\begin{multicols}{4} +\psset{Decran=40,viewpoint=50 35 35,a=2,b=3,c=1} +\psset{unit=0.5, + fcol= 0 (Apricot) + 1 (Lavender) + 2 (SkyBlue) + 3 (LimeGreen) + 4 (OliveGreen) + 5 (Yellow) + 6 (Bittersweet), + object=parallelepiped} +\setlength{\columnseprule}{1pt} +\centerline{ +\begin{pspicture}(-2.5,-2.5)(2.5,2.5) +\psframe(-2.5,-2.5)(2.5,2.5) +\psSolid%% +\axesIIID(1,1.5,1)(3,3,2) +\end{pspicture}} +\columnbreak +\centerline{ +\begin{pspicture}(-2.5,-2.5)(2.5,2.5) +\psframe(-2.5,-2.5)(2.5,2.5) +\psSolid[RotZ=60]%% +\psSolid[action=draw,linewidth=0.5\pslinewidth]%% +\axesIIID(1,1.5,1)(2,3,2) +\end{pspicture}} + +\centerline{\texttt{[RotZ=60]}} + +\columnbreak +\centerline{ +\begin{pspicture}(-2.5,-2.5)(2.5,2.5)) +\psframe(-2.5,-2.5)(2.5,2.5) +\psSolid[RotX=30]%% +\psSolid[action=draw,linewidth=0.5\pslinewidth]%% +\axesIIID(1,1.5,1)(2,3,2) +\end{pspicture}} + +\centerline{\texttt{[RotX=30]}} + +\columnbreak +\centerline{ +\begin{pspicture}(-2.5,-2.5)(2.5,2.5) +\psframe(-2.5,-2.5)(2.5,2.5) +\psSolid[RotY=45]%% +\psSolid[action=draw,linewidth=0.5\pslinewidth]%% +\axesIIID(1,1.5,1)(2,3,2) +\end{pspicture}} + +\centerline{\texttt{[RotY=-45]}} +\end{multicols} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-preambule.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-preambule.tex new file mode 100644 index 00000000000..b5daa6c5778 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-preambule.tex @@ -0,0 +1,23 @@ +\section {Avant-propos} + +Le package présenté dans ce document est issu d'un travail +collaboratif initié sur la liste de diffusion du site syracuse +(\url{http://melusine.eu.org/syracuse}). + +L'idée est née de la confrontation des travaux de Jean-Paul Vignault +sur le logiciel jps2ps% +\footnote{\url{http://melusine.eu.org/syracuse/bbgraf/}} +avec ceux de Manuel Luque sur PSTricks% +\footnote{\url{http://melusine.eu.org/syracuse/pstricks/pst-v3d/}}, en +particulier dans le domaine de la représentation des solides dans une +scène en 3d. + +Les deux auteurs ont décidé d'unifier leurs efforts dans l'écriture +d'un package PSTricks dédié à la représentation de scènes 3d. Le +travail s'effectue sur la machine \textsl{melusine}, dans un +environnement informatique préparé et maintenu par Jean-Michel Sarlat. + +L'équipe s'est ensuite étoffée avec l'arrivée d'Arnaud Schmittbuhl +et de Jürgen Gilg, ce dernier s'étant spécialisé dans le beta-test à +base d'animations% +\footnote{\url{http://melusine.eu.org/syracuse/pstricks/pst-solides3d/animations/}}. diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-presentation.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-presentation.tex new file mode 100644 index 00000000000..d1752cfabf7 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-presentation.tex @@ -0,0 +1,40 @@ +\section {Présentation} + +Le package \texttt{pst-solides3d} permet d'obtenir, avec PSTricks, des +vues en 3d de solides prédéfinis ou construits par +l'utilisateur. On trouvera la plupart des solides usuels que l'on peut +représenter avec ou sans les arêtes cacheés et dont la couleur peut +varier avec l'éclairage. + +Ce package permet également de projeter des textes ou des dessins +simples en 2d sur un plan quelconque ou sur une face d'un solide déjà +construit. + +Du point de vue utilisateur, la plupart des fonctionnalités sont +accessibles par trois macros \TeX~: \verb+\psSolid+, qui sert à +manipuler les objets à $3$ dimensions, \verb+\psSurface+, cousine de +la première et dédiée à la représentation de surfaces définies par une +équation du type $f (x, y) = z$, et \verb+\psProjection+ qui permet de +projeter un dessin en $2$~dimensions sur un plan quelconque de la +scène $3$d représentée. + +Dans l'utilisation, deux langages cohabitent~: d'une part PSTricks et +ses macros où l'utilisateur retrouvera la syntaxe usuelle, d'autre +part Postscript que l'on voit apparaître dans les argument optionnels +des précédentes. + +Le parti pris a été de limiter strictement le champ d'action de +PSTricks, pour le cantonner au rôle d'interface entre \TeX {} et +Postscript. Plus précisément, le rôle de PSTricks a +strictement été circonscrit à celui de la transmission des paramètres +vers Postscript, ce dernier s'occupant de la totalité des calculs +nécessaires puis de l'affichage. + +Pour l'ensemble de ces procédures de calculs et d'affichages, nous +utilisons une librairie Postscript développée pour +une autre application (le logiciel \textsl {jps2ps}). +Le code postscript utilisant cette librairie est appelé \textsl{code +jps}. + +Le but de ce présent document est de décrire la syntaxe PSTricks pour +chacune des opérations offertes par le package. diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-prisme.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-prisme.tex new file mode 100644 index 00000000000..7d7284790fd --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-prisme.tex @@ -0,0 +1,310 @@ +\section {Le prisme} + +Deux paramètres sont propres au prisme : +\begin{itemize} + \item La base du prisme peut-être définie librement par les + coordonnées des sommets dans le plan $Oxy$. Attention, il est + nécessaire que les quatres premiers sommets soient rangés dans le + sens trigonométrique par rapport à l'isobarycentre des sommets de + cette base ; + \item la direction de l'axe du prime par les coordonnées du vecteur + directeur. +\end{itemize} + +\subsubsection {Exemple 1 : prisme droit et prisme oblique à section + polygonale} + +\begin{center} +\psset{unit=0.5} +\psset{lightsrc=10 5 50,viewpoint=50 20 30 rtp2xyz,Decran=50} +\begin{minipage}{5cm} +\begin{pspicture*}(-4,-4)(6,9) +\psframe(-4,-4)(6,9) +\psSolid[object=grille,base=-4 4 -4 4,action=draw]% +\psSolid[object=prisme,h=6,base=0 1 -1 0 0 -2 1 -1 0 0]% + \axesIIID(4,4,6)(4.5,4.5,8) +\end{pspicture*} + +\small\texttt{[base=\psframebox[fillstyle=solid,fillcolor=black]{\textcolor{white}{0 1 -1 0 0 -2 1 -1 0 0}},h=6]} +\\ +\end{minipage} +\hspace{2cm} +\begin{minipage}{5cm} +\begin{pspicture*}(-4,-4)(6,9) +\psframe(-4,-4)(6,9) +\psSolid[object=grille,base=-4 4 -4 4,action=draw]% +\psSolid[object=prisme,axe=0 1 2,h=8,base=0 -2 1 -1 0 0 0 1 -1 0]% + \axesIIID(4,4,4)(4.5,4.5,8) +\psPoint(0,4,8){V} +\psPoint(0,4,0){Vy} +\psPoint(0,0,8){Vz} +\uput[l](Vz){8} +\uput[ur](Vy){4} +\psline[linecolor=blue]{->}(O)(V) +\psline[linestyle=dashed](Vz)(V)(Vy) +\end{pspicture*} + +\small\texttt{[base=\psframebox[fillstyle=solid,fillcolor=black]{\textcolor{white}{0 -2 1 -1 0 0 0 1 -1 0}},}% +\\ + \texttt{ axe=\psframebox[fillstyle=solid,fillcolor=black]{\textcolor{white}{0 4 8}},h=8]} +\end{minipage} +\end{center} + +\subsubsection{Exemple 2 : prisme droit à section carrée arrondie} + +\begin{minipage}{4cm} +\psset{unit=0.5} +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture}(-5,-4)(3,9) +%\psframe(-5,-4)(6,9) +\psSolid[object=grille,base=-4 4 -4 4,action=draw]% +\psSolid[object=prisme,h=6,fillcolor=yellow,% + base=% + 0 10 90 {/i exch def i cos 1 add i sin 1 add } for + % + 90 10 180 {/i exch def i cos 1 sub i sin 1 add} for + % + 180 10 270 {/i exch def i cos 1 sub i sin 1 sub} for + % + 270 10 360 {/i exch def i cos 1 add i sin 1 sub} for + ]% + \axesIIID(4,4,6)(6,6,8) +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{10cm} +\small +\begin{verbatim} +\psSolid[object=grille,base=-4 4 -4 4,action=draw]% +\psSolid[ + object=prisme,h=6,fillcolor=yellow,% + base=% + 0 10 90 {/i exch def i cos 1 add i sin 1 add } for + % + 90 10 180 {/i exch def i cos 1 sub i sin 1 add} for + % + 180 10 270 {/i exch def i cos 1 sub i sin 1 sub} for + % + 270 10 360 {/i exch def i cos 1 add i sin 1 sub} for + ]% + \axesIIID(4,4,6)(6,6,8) +\end{verbatim} +\end{minipage} +%\newpage + +\subsubsection{Exemple 3 : prisme droit creux à section astroïdale} + +\begin{minipage}{5.5cm} +\psset{unit=0.5} +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture*}(-5,-4)(6,9) +\psframe(-5,-4)(6,9) +\defFunction{F}(t){3 t cos 3 exp mul}{3 t sin 3 exp mul}{} +\psSolid[object=grille,base=-4 4 -4 4,action=draw]% +\psSolid[object=prismecreux,h=8,fillcolor=red!50, + resolution=36, + base=0 350 {F} CourbeR2+ + ]% +\end{pspicture*} +\end{minipage} +\hfill +\begin{minipage}{9cm} +\small +\begin{verbatim} +\defFunction{F}(t) + {3 t cos 3 exp mul}{3 t sin 3 exp mul}{} +\psSolid[object=grille,base=-4 4 -4 4,action=draw]% +\psSolid[object=prismecreux,h=8,fillcolor=red!50, + resolution=36, + base=0 350 {F} CourbeR2+ + ]% +\end{verbatim} +\end{minipage} + +\subsubsection{Exemple 4 : prisme à section elliptique} + +\begin{minipage}{5cm} +\psset{unit=0.5} +\psset{lightsrc=10 20 30,viewpoint=50 20 25 rtp2xyz,Decran=50} +\begin{pspicture}(-6,-3)(4,10) +%\psframe(-6,-3)(6,8) +\defFunction{F}(t){t cos 4 mul}{t sin 2 mul}{} +\psSolid[object=grille,base=-6 6 -4 4,action=draw]% +\psSolid[object=prisme,h=8,fillcolor=green!20,% + base=0 350 {F} CourbeR2+]% +\defFunction{F}(t){t cos 4 mul}{t sin 2 mul}{8} +\psSolid[object=courbe, + r=0, + function=F,range=0 360, + linewidth=2\pslinewidth, + linecolor=green] +%% \makeatletter +%% \parametricplot[linecolor=green,linewidth=2\pslinewidth]{0}{360}{% +%% \tx@optionssolides +%% SolidesDict begin +%% 4 t cos mul +%% 2 t sin mul +%% 8 % z +%% 3dto2d cm_1 exch cm_1 exch +%% end} +%% \makeatother +\axesIIID(6,4,8)(8,6,10) +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{9cm} +\small +\begin{verbatim} +\defFunction{F}(t){t cos 4 mul}{t sin 2 mul}{} +\psSolid[object=grille,base=-6 6 -4 4,action=draw]% +\psSolid[object=prisme,h=8,fillcolor=green!20,% + base=0 350 {F} CourbeR2+]% +\defFunction{F}(t){t cos 4 mul}{t sin 2 mul}{8} +\psSolid[object=courbe, + r=0, + function=F,range=0 360, + linewidth=2\pslinewidth, + linecolor=green] +\end{verbatim} +\end{minipage} +%\newpage + +\subsubsection{Exemple 5 : une gouttière, section semi-circulaire à plat} + +\begin{minipage}{6cm} +\psset{unit=0.5} +\psset{lightsrc=10 20 30,viewpoint=50 30 25 rtp2xyz,Decran=50} +\begin{pspicture}(-8,-5)(6,10) +%\psframe(-6,-3)(6,8) +\defFunction[algebraic]{F}(t) + {3*cos(t)}{3*sin(t)}{} +\defFunction[algebraic]{G}(t) + {2.5*cos(t)}{2.5*sin(t)}{} +\psSolid[object=grille, + base=-6 6 -6 6,action=draw]% +\psSolid[object=prisme,h=12, + fillcolor=blue!30,RotX=-90, + resolution=19, + base=0 pi {F} CourbeR2+ + pi 0 {G} CourbeR2+ + ](0,-6,3) +\axesIIID(6,6,2)(8,8,8) +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{6cm} +\small +\begin{verbatim} +\defFunction[algebraic]{F}(t) + {3*cos(t)}{3*sin(t)}{} +\defFunction[algebraic]{G}(t) + {2.5*cos(t)}{2.5*sin(t)}{} +\psSolid[object=grille, + base=-6 6 -6 6,action=draw]% +\psSolid[object=prisme,h=12, + fillcolor=blue!30,RotX=-90, + resolution=19, + base=0 pi {F} CourbeR2+ + pi 0 {G} CourbeR2+ + ](0,-6,3) +\axesIIID(6,6,2)(8,8,10) +\end{verbatim} +\end{minipage} + +On dessine d'abord la face extérieure (demi-cercle de rayon 3~cm), en +tournant dans le sens trigonométrique~: \texttt{0 pi {F} CourbeR2+} + +Puis la face intérieure (demi-cercle de rayon 2{,}5~cm), en tournant +cette fois dans le sens inverse du sens trigonométrique : +\texttt{pi 0 {G} CourbeR2+} + +On fait tourner le solide de $-90^{\mathrm{o}}$ en le plaçant au point $(0,-6,3)$. + +\textdbend{} Comme on a utilisé l'option \verb+algebraic+ pour la +définition des fontions $F$ et $G$, les fonctions $\sin $ et $\cos $ +utilisées fonctionnent en radian. + +\subsubsection{Le paramètre \texttt {decal}} + +Nous avons écrit plus haut qu'il était nécessaire que les quatres +premiers sommets soient rangés dans le sens trigonométrique par +rapport à l'isobarycentre des sommets de cette base. En fait, c'est la +règle du comportement par défaut car la règle véritable est celle-ci~: +Si la base comporte $n+1$ sommets $(s_0, s_1, s_2, \dots , s_{n-1}, +s_n)$, et si $G$ est l'isobarycentre des sommets, alors $(s_0, s_1)$ +d'une part, et $(s_{n-1}, s_n)$ d'autre part, doivent être rangés dans +le sens trigonométrique par rapport à $G$. + +Cette règle induit des contraintes sur le codage de la base du prisme, +rendant parfois ce dernier inesthétique. C'est pourquoi nous avons +introduit l'argument \texttt{[decal]} (valeur par défaut$=-2$) qui +permet de considérer la liste des sommets de la base comme une file +circulaire que l'on décalera au besoin. + +Un exemple~: comportement par défaut avec $decal=-2$~:\par +\begin{minipage}{6cm} +\psset{unit=0.5} +\psset{lightsrc=10 20 30,viewpoint=50 80 35 rtp2xyz,Decran=50} +\begin{pspicture}(-6,-4)(6,7) +\psframe(-7,-3)(6,6) +\defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{} +\psSolid[object=prisme,h=8, + fillcolor=yellow,RotX=-90, + num=0 1 2 3 4 5 6, + show=0 1 2 3 4 5 6, + resolution=7, + base=0 180 {F} CourbeR2+ + ](0,-10,0) +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{8cm} +\small +\begin{verbatim} +\defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{} +\psSolid[object=prisme,h=8, + fillcolor=yellow,RotX=-90, + num=0 1 2 3 4 5 6, + show=0 1 2 3 4 5 6, + resolution=7, + base=0 180 {F} CourbeR2+ + ](0,-10,0) +\end{verbatim} +\end{minipage} + +On voit que le sommet d'indice~$0$ n'est pas là où on s'attendrait à +le trouver. + +Recommençons, mais cette fois-ci en supprimant le décalage~:\par +\begin{minipage}{6cm} +\psset{unit=0.5} +\psset{lightsrc=10 20 30,viewpoint=50 80 35 rtp2xyz,Decran=50} +\begin{pspicture}(-6,-4)(6,7) +\psframe(-7,-3)(6,6) +\defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{} +\psSolid[object=prisme,h=8, + fillcolor=yellow,RotX=-90, + decal=0, + num=0 1 2 3 4 5 6, + show=0 1 2 3 4 5 6, + resolution=7, + base=0 180 {F} CourbeR2+ + ](0,-10,0) +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{8cm} +\small +\begin{verbatim} +\defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{} +\psSolid[object=prisme,h=8, + fillcolor=yellow,RotX=-90, + decal=0, + num=0 1 2 3 4 5 6, + show=0 1 2 3 4 5 6, + resolution=7, + base=0 180 {F} CourbeR2+ + ](0,-10,0) +\end{verbatim} +\end{minipage} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionangledroit.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionangledroit.tex new file mode 100644 index 00000000000..d0ec3ab1532 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionangledroit.tex @@ -0,0 +1,91 @@ +\section {Angle droit} + +L'objet \Cadre{rightangle} permet de définir un angle droit. Sa +syntaxe est +\Cadre{[object=rightangle,args=$A$ $B$ $C$]} + +\begin{multicols}{2} + +%% projete orthpgonal d'un point sur une droite +%% +\begin{pspicture}(-3,-2.5)(3.5,2.5)% +\psframe*[linecolor=blue!50](-3,-2.5)(3.5,2.5) +\psset{lightsrc=viewpoint,viewpoint=50 30 15,Decran=40} +\psset{solidmemory} +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 1 0] 90}, + base=-4 4 -3 3, + fillcolor=white, + linecolor=gray!30, +% plangrid, + planmarks, + name=monplan, +] +\psset{plan=monplan,visibility=false} +%% definition droite d +\psProjection[object=droite, + definition=horizontale, + args=-1, + name=d, +] +\psset{fontsize=15} +%% definition du point M +\psProjection[object=point, + args=-2 1, + name=M, + text=M, + pos=ul, +] +%% definition du point H +\psProjection[object=point, + definition=orthoproj, + args=M d, + name=H, + text=H, + pos=dr, +] +%% definition du point H' pour orienter l'angle droit +%% et mettre la legende +\psProjection[object=point, + definition=xdpoint, + args=2 d, + name=H', + action=none, + text=d, + pos=ur, +] +%% definition d'une ligne +\psProjection[object=line, + args=M H, +] +%% dessin angle droit +\psProjection[object=rightangle, + args=M H H', +] +\composeSolid +%\axesIIID(4,4,2)(5,5,6) +\end{pspicture} +\columnbreak + +\begin{gbar} +\begin{verbatim} +\psProjection[object=droite, + definition=horizontale,args=-1,name=d,] +\psProjection[object=point,args=-2 1, + name=M,text=M,pos=ul,] +\psProjection[object=point, + definition=orthoproj, + args=M d,name=H,text=H,pos=dr,] +%% definition du point H' pour orienter l'angle droit +\psProjection[object=point, + definition=xdpoint,args=2 d, + name=H',action=none,text=d,pos=ur,] +\psProjection[object=line,args=M H,] +\psProjection[object=rightangle,args=M H H',] +\end{verbatim} +\end{gbar} + +\end{multicols} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectioncercle.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectioncercle.tex new file mode 100644 index 00000000000..74900ab2d21 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectioncercle.tex @@ -0,0 +1,85 @@ +\section {Cercles} + +\subsection {Définition directe} + +L'objet \Cadre{cercle} permet de définir et tracer un cercle. +Dans \verb+pst-solides3d+, un cercle en $2$d est définie par la +donnée de son centre et de son rayon. + +Sous la forme la plus simple, on utilise l'argument l'argument \verb+args+ +pour spécifier le centre et le rayon de la droite considérée. On peut +utiliser les coordonnées ou des variables nommées. + +L'argument \Cadre{[range=$t_{\rm min}$ $t_{\rm max}$]} permet de +spécifier l'intervalle de tracé du cercle considéré. + +Comme pour les autres objets, on peut sauvegarder la +donnée d'un cercle en utilisant l'option \Cadre{name}. + +\begin{multicols}{2} +% +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + planmarks, + name=monplan, +] +\psset{plan=monplan} +%% definition du point A +\psProjection[object=point, + name=A, + text=A, + pos=ur, +](-2,1.25) +\psProjection[object=cercle, + args=A 1, + range=0 360, +] +\psProjection[object=cercle, + args=1 1 .5,linecolor=blue, + range=0 180, +] +\composeSolid +\end{pspicture} +% +\columnbreak +% +\begin{gbar} +\begin{verbatim} +\psset{solidmemory} +... +\psProjection[object=point, + name=A,text=A,pos=ur, +](-2,1.25) +\psProjection[object=cercle, + args=A 1,range=0 360,] +\psProjection[object=cercle, + args=1 1 .5,linecolor=blue, + range=0 180,] +\composeSolid +\end{verbatim} +\end{gbar} +% +\end{multicols} + +\subsection {Autres définitions} + +Il existe d'autres méthodes pour définir un cercle 2d. L'argument +\Cadre{definition}, couplé à l'argument \Cadre{args} permet d'utiliser +les différentes méthodes supportées~: + +\begin{itemize} + +\item \Cadre {[definition=ABcercle]} ; +\verb+args=+ $A$ $B$ $C$. Le cercle passant par les points non alignés +$A$, $B$ et $C$. + +\item \Cadre {[definition=diamcercle]} ; +\verb+args=+ $A$ $B$. Le cercle de diamètre $[AB]$. + +\end{itemize} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectioncourbe.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectioncourbe.tex new file mode 100644 index 00000000000..fa88990f7d8 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectioncourbe.tex @@ -0,0 +1,158 @@ +\section {Courbes de fonction numériques et courbes paramétrées} + +\subsection {Courbe de fonction numérique} + +L'objet \Cadre{courbe} permet d'obtenir le tracé de la courbe d'une +fonction numérique dont le nom est passée \textsl{via\/} l'argument +\Cadre{function}. Cette fonction à valeurs dans \textbf{R} ayant été +préalablement définie avec la macro \verb+\defFunction+ vue plus avant +dans ce guide. + +On pourra donc définir cette fonction, soit en notation algébrique +avec l'option \Cadre{[algebraic]}, soit en notation polonaise +inversée (langage postscript), avec une variable quelconque +$(x,u,t\ldots)$, par une expression de la forme suivant le cas~: + +\begin{gbar} +\begin{verbatim} +\defFunction[algebraic]{nom_fonction}(x){x*sin(x)}{}{} +\end{verbatim} +\end{gbar} + +\begin{gbar} +\begin{verbatim} +\defFunction{nom_fonction}(x){x dup sin mul}{}{} +\end{verbatim} +\end{gbar} + +Cette expression dans doit être incluse dans l'environnement +\Cadre{pspicture}. + +Les limites de la variable sont définies dans l'option +\Cadre{range=$xmin$ $xmax$}, et l'option \Cadre{resolution=$n$} permet +de préciser le nombre de points calculés pour le dessin de la courbe. + +\begin{multicols}{2} + +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +\defFunction[algebraic]{1_sin}(x){2*sin(1/x)}{}{} +\psSolid[object=grille, + base=-3 0 -3 3, + linewidth=0.5\pslinewidth,linecolor=gray,] +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + base=-3.2 3.2 -2.2 2.2, + planmarks, + showBase, + name=monplan, +] +\psset{plan=monplan} +\psSolid[object=plan, + args=monplan, + linecolor=gray!40, + plangrid, + action=none, +] +\psProjection[object=courbe, + linecolor=red, + range=-3 3,resolution=720, + function=1_sin, +] +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} + +\columnbreak + +\begin{gbar} +\begin{verbatim} +\defFunction[algebraic]{1_sin}(x) + {2*sin(1/x)}{}{} +\psset{plan=monplan} +... +\psProjection[object=courbe,linecolor=red, + range=-3 3,resolution=720,function=1_sin] +\end{verbatim} +\end{gbar} +\vskip -10mm + +\end{multicols} + + +\subsection {Courbes paramétrées} + +La technique est analogue, à la différence près que la fonction +évoquée est à valeurs dans $R^2$, et que l'objet passé en paramètre à +\verb+\psProjection+ est \Cadre{courbeR2}. + +Pour dessiner un cercle de rayon $3$, on écrira : + +\begin{gbar} +\begin{verbatim} +\defFunction[algebraic]{cercle}(t){3*cos(t)}{3*sin(t)}{} +\end{verbatim} +\end{gbar} + +Autre exemple : les courbes de Lissajous. + + +\begin{multicols}{2} + +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +\defFunction[algebraic]{F}(t){2*sin(0.57735*t)}{2*sin(0.707*t)}{} +\psSolid[object=grille, + base=-3 0 -3 3, + linewidth=0.5\pslinewidth,linecolor=gray,] +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + base=-3.2 3.2 -2.2 2.2, + name=monplan, + planmarks, + showBase, +] +\psset{plan=monplan} +\psSolid[object=plan, + args=monplan, + linecolor=gray!40, + plangrid, + action=none, +] +\psProjection[object=courbeR2, + range=-25.12 25.12,resolution=720, + normal=1 1 2,linecolor=red, + function=F, +] +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} + +\columnbreak + +\begin{gbar} +\begin{verbatim} +\defFunction[algebraic]{F}(t) + {2*sin(0.57735*t)} + {2*sin(0.707*t)} + {} +\psset{plan=monplan} +... +\psProjection[object=courbeR2, + range=-25.12 25.12,resolution=720, + normal=1 1 2,linecolor=red, + function=F, +] +\end{verbatim} +\end{gbar} + +\end{multicols} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectiondroite.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectiondroite.tex new file mode 100644 index 00000000000..782f98fb31e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectiondroite.tex @@ -0,0 +1,110 @@ +\section {Droites} + +\subsection {Définition directe} + +L'objet \Cadre{droite} permet de définir et tracer une droite. +Dans \verb+pst-solides3d+, une droite en $2$d est définie par la +donnée de $2$ de ses points. + +Sous la forme la plus simple, on utilise l'argument l'argument \verb+args+ +pour spécifier $2$ points de la droite considérée. On peut utiliser +les coordonnées ou des points nommés. + +Comme pour les points et les vecteurs, on peut sauvegarder la +donnée d'une droite en utilisant l'option \Cadre{name}. + +\begin{multicols}{2} +% +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + planmarks, + name=monplan, +] +\psset{plan=monplan} +%% definition du point A +\psProjection[object=point, + name=A, + text=A, + pos=ur, +](-2,1.25) +\psProjection[object=point, + name=B, + text=B, + pos=ur, +](1,.75) +\psProjection[object=droite, + linecolor=blue, + args=0 0 1 .5, +] +\psProjection[object=droite, + linecolor=orange, + args=A B, +] +\composeSolid +\end{pspicture} +% +\columnbreak +% +\begin{gbar} +\begin{verbatim} +\psProjection[object=point, + name=A,text=A,pos=ur,](-2,1.25) +\psProjection[object=point, + name=B,text=B,pos=ur,](1,.75) +\psProjection[object=droite, + linecolor=blue,args=0 0 1 .5,] +\psProjection[object=droite, + linecolor=orange,args=A B,] +\end{verbatim} +\end{gbar} +% +\end{multicols} + +\subsection {Autres définitions} + +Il existe d'autres méthodes pour définir une droite 2d. L'argument +\Cadre{definition}, couplé à l'argument \Cadre{args} permet d'utiliser +les différentes méthodes supportées~: + +\begin{itemize} + +\item \Cadre {[definition=horizontale]} ; +\verb+args=+ $b$. La droite d'équation $y=b$. + +\item \Cadre {[definition=verticale]} ; +\verb+args=+ $a$. La droite d'équation $x=a$. + +\item \Cadre {[definition=paral]} ; +\verb+args=+ $d$ $A$. La droite parallèle à la droite $d$ passant par +le point $A$. + +\item \Cadre {[definition=perp]} ; +\verb+args=+ $d$ $A$. La droite perpendiculaire à la droite $d$ passant par +le point $A$. + +\item \Cadre {[definition=mediatrice]} ; +\verb+args=+ $A$ $B$. La droite médiatrice du segment $[AB]$. + +\item \Cadre {[definition=bissectrice]} ; +\verb+args=+ $A$ $B$ $C$. La droite bissectrice de l'angle $\widehat +{ABC}$. + +\item \Cadre {[definition=axesymdroite]} ; +\verb+args=+$d$ $D$. Symétrique de la droite $d$ par rapport à la +droite $D$. + +\item \Cadre {[definition=rotatedroite]} ; +\verb+args=+$d$ $I$ $r$. Image de la droite $d$ par la rotation de +centre $I$ et d'angle $r$ (en degrés) + +\item \Cadre {[definition=translatedroite]} ; +\verb+args=+$d$ $u$. Image de la droite $d$ par la translation de +vecteur $\vec u$. + +\end{itemize} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionligne.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionligne.tex new file mode 100644 index 00000000000..361d2a6ab29 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionligne.tex @@ -0,0 +1,73 @@ +\section {Lignes} + +L'objet \Cadre{line} permet de définir une ligne brisée. Sous sa forme +usuelle, on utilise l'argument \verb+args+ pour spécifier la liste des +points~: +\Cadre{[object=line,args=$A_0$ $A_1$ \ldots $A_n$]} + +On peut également définir les transformées d'une ligne brisée par une +translation, une rotation, une homothétie, etc\dots en reprenant les +opérations disponibles sur les polygones. + +\begin{multicols}{2} + +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +\psSolid[object=grille, + base=-3 0 -3 3, + linewidth=0.5\pslinewidth,linecolor=gray,] +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + base=-3.2 3.2 -2.2 2.2, + name=monplan, + planmarks, +] +\psset{plan=monplan} +\psSolid[object=plan, + args=monplan, + linecolor=gray!40, + plangrid, + action=none, +] +\psProjection[object=line, + args=-1 0 -3 1 1 2, + name=P, +] +\psProjection[object=line, + definition=rotatepol, + linecolor=blue, + args=P -1 0 -45, +] +%% du code jps dans la definition +\psProjection[object=line, + definition={2 -2 addv} papply, + linestyle=dashed, + args=P, +] +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} +\columnbreak + +\begin{gbar} +\begin{verbatim} +\psProjection[object=line, + args=-1 0 -3 1 0 2, + name=P,] +\psProjection[object=line, + definition=rotatepol, + linecolor=blue, + args=P -1 0 -45,] +%% du code jps dans la definition +\psProjection[object=line, + definition={2 -2 addv} papply, + linestyle=dashed, + args=P,] +\end{verbatim} +\end{gbar} +\end{multicols} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionpoint.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionpoint.tex new file mode 100644 index 00000000000..08a97eff0c9 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionpoint.tex @@ -0,0 +1,219 @@ +\section {Points} + +\subsection {Définition directe} + +L'objet \Cadre{point} permet de définir un point. Sous sa forme la +plus simple, on peut utiliser les valeurs $(x,y)$ de ses coordonnées +directement dans la commande \verb+\psProjection+ ou par le biais de +l'argument \verb+args+. + +Ainsi les $2$ commandes +\verb+\psProjection[object=point](1,2)+ +et +\verb+\psProjection[object=point,arg=1 2]+ +sont équivalentes et aboutissent au tracé du point de coordonnées +$(1,2)$ sur le plan considéré. + +\subsection {Labels} + +L'option \Cadre{[text=$str$]} permet de spécifier une chaîne de +caractère à projeter sur le plan de référence au voisinage du point +considéré. La position d'affichage par rapport au point se fait avec +l'argument \Cadre{[pos=$value$]} où $value$ est un élément de $\{$ul, +cl, bl, dl, ub, cb, bb, db, uc, cc, bc, dc, ur, cr, br, dr$\}$. + +L'utilisation du paramètre \verb+pos+ est détaillée dans un paragraphe +ultérieur. + +\begin{multicols}{2} + +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + name=monplan, + planmarks, + showBase, +] +\psset{plan=monplan} +%% definition du point A +\psProjection[object=point, + args=-2 1, + text=A, + pos=ur, +] +\psProjection[object=point, + text=B, + pos=ur, +](2,1) +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} + +\columnbreak + +\begin{gbar} +\begin{verbatim} +\psset{solidmemory} +%% definition et dessin du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + name=monplan, + planmarks, + showBase,] +%% affectation du plan de projection +\psset{plan=monplan} +\psProjection[object=point,args=-2 1, + text=A,pos=ur,] +\psProjection[object=point,text=B,pos=ur, +](2,1) +\composeSolid +\end{verbatim} +\end{gbar} + +\end{multicols} + + +\subsection {Nommage et sauvegarde d'un point} + +Si l'option \Cadre{[name=$str$]} est présente, les coordonnées $(x,y)$ +du point considéré seront sauvegardées sous le nom désigné par $str$ +et pourront être réutilisées. + +\subsection {Autres définitions} + +Il existe d'autres méthodes pour définir un point 2d. L'argument +\Cadre{definition}, couplé à l'argument \Cadre{args} permet d'utiliser +les différentes méthodes supportées~: + +\begin{itemize} + +\item \Cadre {[definition=milieu]} ; +\verb+args=+$A$ $B$. Le milieu du segment $[AB]$ + +\item \Cadre {[definition=parallelopoint]} ; +\verb+args=+$A$ $B$ $C$. Le point $D$ tel que $(ABCD)$ soit un +parallélogramme. + +\item \Cadre {[definition=translatepoint]} ; +\verb+args=+$M$ $u$. L'image du point $M$ par la translation de vecteur +$\vec u$ + +\item \Cadre {[definition=rotatepoint]} ; +\verb+args=+$M$ $I$ $r$. Le point image de $M$ par la rotation de centre $I$ +et d'angle $r$ (en degrés) + +\item \Cadre {[definition=hompoint]} ; +\verb+args=+$M$ $A$ $k$. Le point $M'$ vérifiant $\overrightarrow + {AM'} = k \overrightarrow {AM}$ + +\item \Cadre {[definition=orthoproj]} ; +\verb+args=+$M$ $d$. Le projeté orthogonal du point $M$ sur la droite $d$. + +\item \Cadre {[definition=projx]} ; +\verb+args=+$M$. Le projeté du point $M$ sur l'axe $Ox$ . + +\item \Cadre {[definition=projy]} ; +\verb+args=+$M$. Le projeté du point $M$ sur l'axe $Oy$ . + +\item \Cadre {[definition=sympoint]} ; +\verb+args=+$M$ $I$. Le symétrique du point $M$ par rapport au point +$I$. + +\item \Cadre {[definition=axesympoint]} ; +\verb+args=+$M$ $d$. Le symétrique du point $M$ par rapport à la +droite $d$. + +\item \Cadre {[definition=cpoint]} ; +\verb+args=+$\alpha $ $C$. Le point correspondant à l'angle $\alpha $ +du cercle $C$ + +\item \Cadre {[definition=xdpoint]} ; +\verb+args=+$x$ $d$. Le point d''abscisse $x$ de la droite $d$. + +\item \Cadre {[definition=ydpoint]} ; +\verb+args=+$y$ $d$. Le point d'ordonnée $y$ de la droite $d$. + +\item \Cadre {[definition=interdroite]} ; +\verb+args=+ $d_1$ $d_2$. Le point d'intersection des droites $d_1$ et +$d_2$. + +\item \Cadre {[definition=interdroitecercle]} ; +\verb+args=+ $d$ $I$ $r$. Les points d'intersection de la droite $d$ +avec le cercle de centre $I$ de rayon $r$. + +\end{itemize} + +Dans l'exemple ci-dessous, on définit et on nomme $3$ points $A$, $B$ +et $C$, puis on calcule le point $D$ tel que $(ABCD)$ parallélogramme +ainsi que le centre de ce parallélogramme. + +\begin{multicols}{2} + +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + name=monplan, + planmarks, + showbase, +] +\psset{plan=monplan} +%% definition du point A +\psProjection[object=point, + text=A,pos=ur,name=A, +](-1,.7) +%% definition du point B +\psProjection[object=point, + text=B,pos=ur,name=B, +](2,1) +%% definition du point C +\psProjection[object=point, + text=C,pos=ur,name=C, +](1,-1.5) +%% definition du point D +\psProjection[object=point, + definition=parallelopoint, + args=A B C, + text=D,pos=ur,name=D, +] +%% definition du point G +\psProjection[object=point, + definition=milieu, + args=D B, +] +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} + +\columnbreak + +\begin{gbar} +\begin{verbatim} +\psProjection[object=point, + text=A,pos=ur,name=A,](-1,.7) +\psProjection[object=point, + text=B,pos=ur,name=B,](2,1) +\psProjection[object=point, + text=C,pos=ur,name=C,](1,-1.5) +\psProjection[object=point, + definition=parallelopoint, + args=A B C, + text=D,pos=ur,name=D,] +\psProjection[object=point, + definition=milieu, + args=D B,] +\end{verbatim} +\end{gbar} + +\end{multicols} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionpolygone.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionpolygone.tex new file mode 100644 index 00000000000..03f56ad6ff2 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionpolygone.tex @@ -0,0 +1,110 @@ +\section {Polygones} + +L'objet \Cadre{polygone} permet de définir un polygone. Sous sa forme +usuelle, on utilise l'argument \verb+args+ pour spécifier la liste des +points~: +\Cadre{[object=polygone,args=$A_0$ $A_1$ \ldots $A_n$]} + +Il existe d'autres méthodes pour définir un polygone 2d. L'argument +\Cadre{definition}, couplé à l'argument \Cadre{args} permet d'utiliser +les différentes méthodes supportées~: + +\begin{itemize} + +%% syntaxe : pol u --> pol' +\item \Cadre {[definition=translatepol]} ; +\verb+args=+$pol$ $u$. Translaté du polygone $pol$ par le vecteur +$\vec u$ + +%% syntaxe : pol u --> pol' +\item \Cadre {[definition=rotatepol]} ; +\verb+args=+$pol$ $I$ $\alpha $. Image du polygone pol par la rotation +de centre $I$ et d'angle $\alpha $ + +%% syntaxe : pol I alpha --> pol' +\item \Cadre {[definition=hompol]} ; +\verb+args=+$pol$ $I$ $\alpha $. Image du polygone $pol$ par +l'homothétie de centre $I$ et de rapport $\alpha $. + +%% syntaxe : pol I --> pol' +\item \Cadre {[definition=sympol]} ; +\verb+args=+$pol$ $I$. Image du polygone $pol$ par +la symétrie de centre $I$. + +%% syntaxe : pol D --> pol' +\item \Cadre {[definition=axesympol]} ; +\verb+args=+$pol$ $d$. Image du polygone $pol$ par +la symétrie axiale de droite $d$. + +\end{itemize} + +Dans l'exemple ci-dessous, on définit, on nomme et on trace le +polygone de sommets $(1,0)$, $(-3, 1)$, $(0, 2)$ puis on trace en bleu +son image par la rotation de centre $(-1,0)$ et d'angle $-45$. Enfin, +on représente le translaté du polygone d'origine par le vecteur +$(2,-2)$, et ce en incorporant directement du code jps dans l'argument +\verb+[definition=]+. + +\begin{multicols}{2} + +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +\psSolid[object=grille, + base=-3 0 -3 3, + linewidth=0.5\pslinewidth,linecolor=gray,] +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + base=-3.2 3.2 -2.2 2.2, + name=monplan, + planmarks, +] +\psset{plan=monplan} +\psSolid[object=plan, + args=monplan, + linecolor=gray!40, + plangrid, + action=none, +] +\psProjection[object=polygone, + args=-1 0 -3 1 0 2, + name=P, +] +\psProjection[object=polygone, + definition=rotatepol, + linecolor=blue, + args=P -1 0 -45, +] +%% du code jps dans la definition +\psProjection[object=polygone, + definition={2 -2 addv} papply, + fillstyle=hlines,hatchcolor=yellow, + linestyle=dashed, + args=P, +] +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} +\columnbreak + +\begin{gbar} +\begin{verbatim} +\psProjection[object=polygone, + args=-1 0 -3 1 0 2, + name=P,] +\psProjection[object=polygone, + definition=rotatepol, + linecolor=blue, + args=P -1 0 -45,] +%% du code jps dans la definition +\psProjection[object=polygone, + definition={2 -2 addv} papply, + fillstyle=hlines,hatchcolor=yellow, + linestyle=dashed, + args=P,] +\end{verbatim} +\end{gbar} +\end{multicols} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectiontexte.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectiontexte.tex new file mode 100644 index 00000000000..4c25955b1bd --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectiontexte.tex @@ -0,0 +1,622 @@ +\section {Texte} + +L'objet \Cadre{\texttt{texte}} de la macro \verb+\psProjection+ permet +de projeter des chaînes de caractères sur des plans quelconques. + +\subsection {Les paramètres et les options} + +Il y a $3$ paramètres : \Cadre{\texttt{[text]}} qui définit la chaîne à afficher, +\Cadre{\texttt{[fontsize]}}, qui donne la taille de la fonte en +points (rappelons qu'une taille de 28,45~pts correspond à 1~cm), et +enfin \Cadre{\texttt{[pos]}}, qui définit la position +du texte par rapport au point visé. Par défaut le texte est centré sur +l'origine du plan. + +Ce dernier paramètre nécessite un peu d'explications. Considérons la +chaîne de caractères \texttt{petit texte} représentée ci-dessous. +\begin{center} +\begin{pspicture}(-5,-2)(5,2) +\rput(0,0){\psframebox[linestyle=none,fillstyle=solid, + fillcolor=yellow!50,framesep=0pt]{\phantom{\timesnormal petit texte}}} +\rput(0,0){\rnode[lb]{A}{\rnode[rb]{B}{\rnode[rt]{C}{% + \rnode[lt]{D}{\rnode[l]{E}{\rnode[r]{F}{% + \rnode[t]{G}{\rnode[b]{H}{\timesnormal petit texte}}}}}}}}} +%\psset{nodesep=5pt} +\ncline{A}{B}\ncline{B}{C}\ncline{C}{D}\ncline{D}{A} +\pnode({A}){A'} +\pnode({B}){B'} +\pnode({C}){C'} +\pnode({D}){D'} +\pnode({E}){E'} +\pnode({F}){F'} +\pnode({G}){G'} +\pnode({H}){H'} +\rput(A){\pnode(0,\baselineskip){B1}} +\rput(B){\pnode(0,\baselineskip){B2}} +\psdots(A')(B')(C')(D')(E')(F')(G')(H')(B1)(B2)(0,0) +\psline(B1)(B2) +\pnode(! \GetCenter{A} A.x 0.5 sub A.y 0.5 sub){A1} +\ncline{->}{A}{A1} +\uput[dl](A1){\texttt{dl}} +\pnode(! \GetCenter{B1} B1.x 0.5 sub B1.y){B1l} +\ncline{->}{B1}{B1l} +\uput[l](B1l){\texttt{bl}} +\pnode(! \GetCenter{E} E.x 0.5 sub E.y){El} +\ncline{->}{E}{El} +\uput[l](El){\texttt{cl}} +\pnode(! \GetCenter{D} D.x 0.5 sub D.y 0.5 add){Dl} +\ncline{->}{D}{Dl} +\uput[ul](Dl){\texttt{ul}} +\pnode(! \GetCenter{G} G.x G.y 0.5 add){Gu} +\ncline{->}{G}{Gu} +\uput[u](Gu){\texttt{uc}} +\pnode(! \GetCenter{H} H.x H.y 0.5 sub){Hd} +\ncline{->}{H}{Hd} +\uput[d](Hd){\texttt{dc}} +\pnode(! \GetCenter{C} C.x 0.5 add C.y 0.5 add){Cr} +\ncline{->}{C}{Cr} +\uput[ur](Cr){\texttt{ur}} +\pnode(! \GetCenter{B} B.x 0.5 add B.y 0.5 sub){Br} +\ncline{->}{B}{Br} +\uput[dr](Br){\texttt{dr}} +\pnode(! \GetCenter{B2} B2.x 0.5 add B2.y){B2r} +\ncline{->}{B2}{B2r} +\uput[r](B2r){\texttt{br}} +\pnode(! \GetCenter{F} F.x 0.5 add F.y){Fr} +\ncline{->}{F}{Fr} +\uput[r](Fr){\texttt{cr}} +\end{pspicture} +\end{center} + +Nous avons $4$~lignes horizontales de références~: la ligne +inférieure \verb+(d)own+, la ligne de base \verb+(b)aseline+, la +ligne médiane, ou ligne centrale \verb+(c)enter+, et la ligne +supérieure \verb+(u)p+. + +Il y a également $4$~lignes de référence sur l'axe vertical~: la ligne +de gauche \verb+(l)eft+, la ligne de base \verb+(b)aseline+, la ligne +centrale \verb+(c)enter+ et la ligne de droite \verb+(r)ight+. Dans le +cas d'une chaîne de caractère, les $2$ lignes verticales \verb+l+ et +\verb+b+ sont confondues. + +L'intersection de ces $4$ lignes horizontales avec ces $4$ lignes +verticales nous donne $16$~points appelés +\verb+dl+, +\verb+bl+, +\verb+cl+, +\verb+ul+, +\verb+db+, +\verb+bb+, +\verb+cb+, +\verb+ub+, +\verb+dc+, +\verb+bc+, +\verb+cc+, +\verb+uc+, +\verb+dr+, +\verb+br+, +\verb+cr+, +\verb+ur+. + +Parmi ceux-ci, $4$~sont considérés comme \textsl {points +intérieurs\/}~: \verb+bb+, \verb+bc+, \verb+cb+ et \verb+cc+. + +Lorsque le paramètre \verb+[pos]+ de \verb+\psProjection+ est affecté à +l'un de ces $4$~points, cela signifie que ce dernier doit être +positionné au point d'origine du plan de projection. + +Lorsque le paramètre \verb+[pos]+ de \verb+\psProjection+ est affecté à +l'un des $12$~points restant, cela indique une direction dans laquelle +doit être positionné le texte par rapport au point d'origine du plan +de projection. + +Par exemple, \verb+\psProjection[...,pos=uc](0,0)+ indique que le +texte doit être centré par rapport au point $(0,0)$ et affiché +au-dessus. + +%% Le plan doit être défini par son origine +%% \Cadre{$\mathtt{(x_0ny_0,z_0)}$} et la normale +%% \Cadre{\texttt{[normal=1 0 0 90]}}. Pour les particularités +%% de la définition de la normale, car il y a trois façons de le faire ! +%% Tous les détails sont dans la partie \Cadre{\texttt{``Choisir un plan +%% par son origine et une normale''}} de la documentation de +%% \texttt{doc-psProjection}. + +%% La taille de la fonte doit être fixée en points avec l'option +%% . . + + +\subsection {Exemples de projetés sur un plan quelconque} + +\subsubsection {Exemple 1 : projection sur Oxy, avec l'option \texttt{pos=bc}} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10, + viewpoint=50 -90 90 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-4 4 -1 1,args={0 0 0 [0 0 1 90]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + pos=bc,plan=monplan, + text=j'aimerais tant voir Syracuse, +](0,0)% +\axesIIID(0,0,0)(4,2,1) +\composeSolid +\end{pspicture} +\end{LTXexample} + +\subsubsection{Exemple 2 : projection Oxy, texte centré} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10, + viewpoint=50 -90 90 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-4 4 -1 1,args={0 0 0 [0 0 1 90]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text= L'île de Pâques et Kairouan, + plan=monplan]% +\axesIIID(0,0,0)(4,2,1) +\end{pspicture} +\end{LTXexample} + + + +\subsubsection {Exemple 3 : projection Oxy, avec différentes options \texttt{pos=dl, etc.}} + +\begin{center} +\psset{unit=.8} +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10,viewpoint=50 -90 90 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-10 10 -1 1,args={0 0 0 [0 0 1 90]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text=Et les grands oiseaux qui s'amusent, + pos=dl, + plan=monplan]% +\axesIIID(0,0,0)(8,1,1) +\rput(0,-1.5){\Cadre{\texttt{[pos=dl]}}} +\end{pspicture} +\end{center} + +\begin{center} +\psset{unit=.8} +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10,viewpoint=50 -90 90 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-10 10 -1 1,args={0 0 0 [0 0 1 90]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text= A glisser l'aile sous le vent., + pos=dr, + plan=monplan]% +\axesIIID(0,0,0)(8,1,1) +\rput(0,-1.5){\Cadre{\texttt{[pos=dr]}}} +\end{pspicture} +\end{center} + +\begin{center} +\psset{unit=.8} +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10,viewpoint=50 -90 90 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-10 10 -1 1,args={0 0 0 [0 0 1 90]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text=Avant que ma jeunesse s'use, + pos=ur, + plan=monplan]% +\axesIIID(0,0,0)(8,1,1) +\rput(0,-1.5){\Cadre{\texttt{[pos=ur]}}} +\end{pspicture} +\end{center} + +\begin{center} +\psset{unit=.8} +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10,viewpoint=50 -90 90 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-10 10 -1 1,args={0 0 0 [0 0 1 90]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text=Et que mes printemps soient partis, + pos=ul, + plan=monplan]% +\axesIIID(0,0,0)(8,1,1) +\rput(0,-1.5){\Cadre{\texttt{[pos=ul]}}} +\end{pspicture} +\end{center} + +\begin{center} +\psset{unit=.8} +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10,viewpoint=50 -90 90 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-10 10 -1 1,args={0 0 0 [0 0 1 90]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text=J'aimerais tant voir Syracuse, + pos=uc, + plan=monplan]% +\axesIIID(0,0,0)(8,1,1) +\rput(0,-1.5){\Cadre{\texttt{[pos=uc]}}} +\end{pspicture} +\end{center} + +\begin{center} +\psset{unit=.8} +\begin{pspicture}(-4,-1.5)(4,1.5) +\psset{solidmemory} +\psset{lightsrc=10 0 10,viewpoint=50 -90 90 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-10 10 -1 1,args={0 0 0 [0 0 1 90]},name=monplan,] +\psProjection[object=texte, + fontsize=20,linecolor=red, + text=Pour m'en souvenir à Paris., + pos=dc, + plan=monplan]% +\axesIIID(0,0,0)(8,1,1) +\rput(0,-1.5){\Cadre{\texttt{[pos=dc]}}} +\end{pspicture} +\end{center} + +\subsubsection {Exemple 4 : projection Oxy avec rotation du texte} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4,-3)(4,3) +\psset{solidmemory} +\psset{lightsrc=10 0 10, + viewpoint=50 -90 90 rtp2xyz,Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-4 4 -3 3,args={0 0 0 [0 0 1 90]},name=monplan,] +\psset{plan=monplan} +\psProjection[object=texte, + fontsize=28.45,linecolor=gray!50, + text=Tournez manèges]% +\psProjection[object=texte, + fontsize=28.45,linecolor=red, + text=Tournez manèges, + phi=60]% +\axesIIID(0,0,0)(4,3,1) +\end{pspicture} +\end{LTXexample} +La rotation du texte s'introduit avec le paramètre \Cadre{\texttt{phi=60}}. + +\subsubsection{Exemple 5 : positionnement du texte en un point quelconque} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4,-3)(4,3) +\psset{solidmemory} +\psset{viewpoint=50 -90 90 rtp2xyz, + Decran=50} +\psSolid[object=plan,definition=normalpoint,plangrid, + base=-4 4 -3 3,args={0 0 0 [0 0 1 90]},name=monplan,] +\psset{fontsize=28.45,plan=monplan} +\psProjection[object=texte, + linecolor=green, + text=ici](-2,-2) +\psProjection[object=texte, + linecolor=red, + text=ou]% +\psProjection[object=texte, + linecolor=blue, + text=là](2,2) +\psPoint(0,0,0){O} +\psPoint(-2,-2,0){O1} +\psPoint(2,2,0){O2} +\psdots[dotsize=0.2](O)(O1)(O2) +\axesIIID(0,0,0)(4,4,1) +\end{pspicture} +\end{LTXexample} + +\subsection{Exemples de projections sur une face d'un solide} + +\subsubsection {Méthode} + +Le solide doit être mémorisé avec l'option générale +\Cadre{$\backslash$psset$\{$solidmemory$\}$}. La première chose à faire est de +repérer les numéros des faces du solide +avec l'option \Cadre{\texttt{[numfaces=all]}}. +\begin{LTXexample}[width=8cm] +\psset{viewpoint=50 20 30 rtp2xyz,Decran=100} +\begin{pspicture}(-4,-4)(4,4) +\psframe(-4,-4)(4,4) +\psSolid[object=cube,a=2,action=draw, + linecolor=red,numfaces=all]% +\axesIIID(1,1,1)(2,2,2) +\end{pspicture} +\end{LTXexample} + +Puis on définit le plan de projection par la face choisie, ici on affiche +\Cadre{\texttt{A}} sur la face de numéro $0$~: +\begin{gbar} +\begin{verbatim} +\psSolid[object=plan,definition=solidface,args=A 0,name=P0] +\psProjection[object=texte,linecolor=red,text=A,plan=P0]% +\end{verbatim} +\end{gbar} + +\begin{LTXexample}[width=8cm] +\psset{viewpoint=50 20 30 rtp2xyz,Decran=50} +\begin{pspicture}(-3,-4)(4,5) +\psset{unit=0.5} +\psset{solidmemory} +\psSolid[object=cube,a=8,action=draw,name=A,linecolor=red]% +\psset{fontsize=100} +\psSolid[object=plan,action=none, + definition=solidface,args=A 0,name=P0] +\psProjection[object=texte,linecolor=red,text=A,plan=P0]% +\psSolid[object=plan,action=none, + definition=solidface,args=A 1,name=P1] +\psProjection[object=texte,linecolor=red,text=B,plan=P1]% +\psSolid[object=plan,action=none, + definition=solidface,args=A 4,name=P4] +\psProjection[object=texte,linecolor=red,text=E,plan=P4]% +\axesIIID(4,4,4)(6,6,6) +\end{pspicture} +\end{LTXexample} + +\subsubsection {Rotation du texte avec l'option \texttt{phi}} + +\begin{LTXexample}[width=8cm] +\psset{viewpoint=50 20 30 rtp2xyz,Decran=50} +\psset{unit=0.5} +\begin{pspicture}(-3,-4)(4,5) +\psset{solidmemory} +\psSolid[object=cube,a=8,action=draw,linecolor=red,name=A]% +\psset{fontsize=200} +\psSolid[object=plan,action=none, + definition=solidface,args=A 0,name=P0] +\psProjection[object=texte,linecolor=gray,text=A,plan=P0]% +\psset{phi=90} +\psProjection[object=texte,linecolor=red,text=A,plan=P0]% +\axesIIID(4,4,4)(6,6,6) +\end{pspicture} +\end{LTXexample} + + +\subsection{Exemples de projections sur différentes faces d'un solide} + +\definecolor{rose}{rgb}{1,0.75,0.74} + +\def\JuangJie{% +\begin{pspicture}(-3.5,-2)(3.5,4) +\psframe[fillcolor=cyan!50,fillstyle=solid](-3.5,-2)(3.5,4)% +\psSolid[object=cylindre,r=8,h=0.2,ngrid=1 36,action=draw**,hue=0.5 0.6]% +\psSolid[object=cube,a=8,h=0.2,ngrid=1 36,action=draw**,color1=magenta!50, + color2=red!20,color3=yellow!50,color4=green!50, + fcol=0 (color1) 1 (color2) 2 (color3) 3 (color4) 4(White)](0,0,4.2)% +\psset{solidmemory}% +\psSolid[object=cube,a=8, + name=A, + action=none](0,0,4.2)% +%% la face 0 +\psSolid[object=plan,action=none,definition=solidface, + base=-4 4 -4 4,args=A 0,name=P0]% +%\psSolid[object=plan,definition=plan,action=none,args=P0,planmarks,action=none,]% +\psset{fontsize=30,plan=P0}% +\psProjection[object=texte,text=poème](0,3)% +\psProjection[object=texte,text=de](0,2)% +\psset{fontsize=55} +\psProjection[object=texte,linecolor=red,text=Juang Jie] +%% la face 4 +\psSolid[object=plan,action=none,definition=solidface,base=-4 4 -4 4,args=A 4,phi=-90,name=P4]% +%\psSolid[object=plan,definition=plan,action=none,args=P4,fontsize=10,planmarks,action=none]% +\psset{fontsize=28.45,pos=bc,plan=P4} +\psProjection[object=texte,text={Dans ma jeunesse,}](0,3)% +\psset{fontsize=20} +\psProjection[object=texte,text=j'écoutais le son de la pluie](0,2)% +\psProjection[object=texte,text=dans les maisons de plaisir](0,1)% +\psProjection[object=texte,text=les tentures frissonnaient]% +\psProjection[object=texte,text=sous la lumière rouge](0,-1)% +\psProjection[object=texte,text=des candélabres](0,-2)% +%% la face 1 +\psSolid[object=plan,action=none,definition=solidface,base=-4 4 -4 4,args=A 1,phi=180,name=P1]% +%\psSolid[object=plan,definition=plan,action=none,args=P1,fontsize=10,planmarks,action=none]% +\psset{plan=P1} +\psProjection[object=texte,fontsize=25,text=Dans mon âge mûr](0,3)% +\psProjection[object=texte,text=j'ai écouté le son de la pluie](0,2)% +\psProjection[object=texte,fontsize=18,text={en voyage, à bord d'un bateau}](0,1)% +\psProjection[object=texte,text=les nuages pesaient bas]% +\psProjection[object=texte,text=sur l'immensité du fleuve](0,-1)% +\psProjection[object=texte,text=une oie sauvage ](0,-2)% +\psProjection[object=texte,text=séparée de ses soeurs](0,-3)% +%% la face 2 +\psSolid[object=plan,action=none,definition=solidface,base=-4 4 -4 4,args=A 2,phi=180,name=P2]% +%\psSolid[object=plan,definition=plan,action=none,args=P2,fontsize=10,planmarks,action=none]% +\psset{plan=P2} +\psProjection[object=texte,text=appelait dans le vent d'ouest](0,3)% +\psProjection[object=texte,text={Aujourd'hui,}](0,2)% +\psProjection[object=texte,text=j'écoute le son de la pluie](0,1)% +\psProjection[object=texte,text=sous le charme]% +\psProjection[object=texte,text=d'un ermitage monastique](0,-1)% +\psProjection[object=texte,text=Ma tête est chenue](0,-2)% +\psProjection[object=texte,text=chagrins et bonheurs](0,-3)% +%% la face 3 +\psSolid[object=plan,action=none,definition=solidface,args=A 3,phi=180,name=P3]% +%\psSolid[object=plan,definition=plan,action=none,args=P3,fontsize=10,planmarks,action=none]% +\psset{plan=P3} +\psProjection[object=texte,text=séparations et retrouvailles](0,3)% +\psProjection[object=texte,text=tout est vanité](0,2)% +\psProjection[object=texte,text={Dehors, sur les marches}](0,1)% +\psProjection[object=texte,text=les gouttes tambourinent]% +\psProjection[object=texte,text= jusqu'à l'aube](0,-1)% +\psProjection[object=texte,text=Juang Jie ](0,-3)% +\composeSolid +\end{pspicture}} + +\def\MollyBloom{% +%\psset{lightsrc=-15 -9 5} +%\psset{viewpoint=20 -150 30 rtp2xyz,Decran=11} +\psset{solidmemory,visibility} +%% le plan de base +\psSolid[object=plan, + definition=equation, + ngrid=1. 1., + args={[0 0 1 0]},linecolor=red, + base=-8 10 -8 8, + linecolor=red, + name=G]% +\psset{fontsize=25,,pos=bc,plan=G} +\psProjection[object=texte, + phi=-90, + text=le monologue de Molly, + pos=bc, + ](-5,0) +\psProjection[object=texte,text=dans Ulysse de James Joyce](1,-5,0) +\psset{h=1,fillcolor=yellow!50,incolor=rose,hollow} +\psset{fontsize=20,pos=cc} +% +\psSolid[object=ruban,name=ruban1,base=9 8 9 -8] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=O cet effrayant torrent tout au fond O et la mer écarlate] +% +\psSolid[object=ruban,name=ruban1,base=9 -8 -8 -8] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=quelquefois comme du feu et les glorieux couchers de soleil et] +% +\psSolid[object=ruban,name=ruban1,base=-8 7 7 7] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0,fontsize=18, + text=les ruelles bizarres les maisons roses et bleues et jaunes,] +% +\psSolid[object=ruban,name=ruban1,base=7 7 7 -6] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=et les roseraies et les jasmins et les géraniums,] +% +\psSolid[object=ruban,name=ruban1,base=7 -6 -6 -6] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=et les cactus de Gibraltar quand j'étais jeune fille,] +% +\psSolid[object=ruban,name=ruban1,base=-6 5 5 5] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0,fontsize=18, + text=quand j'ai mis la rose dans mes cheveux,] +% +\psSolid[object=ruban,name=ruban1,base=5 5 5 -4] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=comme les filles Andalouses,] +% +\psSolid[object=ruban,name=ruban1,base=5 -4 -3 -4] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=ou en mettrai-je une rouge oui,] +% +\psSolid[object=ruban,name=ruban1,base=-3 4 3 4] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0,fontsize=18, + text=sous le mur mauresque,] +% +\psSolid[object=ruban,name=ruban1,base=3 4 3 -2] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=je me suis dit après,] +% +\psSolid[object=ruban,name=ruban1,base=3 -2 -1.5 -2] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=tout aussi bien,] +% +\psSolid[object=ruban,name=ruban1,base=-1.5 3 2 3] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=et alors je,] +\psSolid[object=ruban,name=ruban1,base=-8 -8 -8 7] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=les figuiers dans les jardins de l'Alameda et toutes,] +% +\psSolid[object=ruban,name=ruban1,base=-6 -6 -6 5] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=et une Fleur de la montagne oui,] +% +\psSolid[object=ruban,name=ruban1,base=-3 -4 -3 4] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=et comme il m'a embrassée,] +% +\psSolid[object=ruban,name=ruban1,base=-1.5 -2 -1.5 3] +\psSolid[object=plan,action=none,definition=solidface,args=ruban1 0,name=R0,phi=-90] +\psProjection[object=texte,plan=R0, + text=lui qu'un autre,] +% +\composeSolid +} + + +Nous projetons un poème, vers après vers, sur 4 faces d'un cube. +Il est nécessaire de passer l'option \Cadre{solidmemory} au début des +commandes. On définit ensuite le cube, que l'on mémorise à l'aide de la +commande \Cadre{name=A}~: +\begin{verbatim} +\psset{solidmemory} +\psSolid[object=cube,a=8,name=A1](0,0,4.2)% +\end{verbatim} + +Le numéro de chaque face ayant été repéré dans un essai préalable avec +l'option \Cadre{numfaces=all}, les commandes suivantes~: +\begin{verbatim} +\psSolid[object=plan,action=none,definition=solidface,args=A 0,name=P0]% +\psProjection[object=texte,text=poème,fontsize=30,plan=P0](0,3)% +\end{verbatim} +définissent tout d'abord le plan $P0$ comme étant le plan orienté défini par la face +d'indice $0$ du solide $A$, avant de demander +l'impression du mot \texttt{poème} sur le plan $P0$, avec une fonte de +taille \Cadre{30~pts}, au point de coordonnées \Cadre{(0,3)} (dans le +repère lié à ce plan). On aurait pu changer l'orientation du texte +avec \Cadre{phi=-90} par exemple, dans l'une ou l'autre de ces commandes. + +Par défaut, si la face n'est pas visible le texte reste caché. En +écrivant \Cadre{visibility} dans les options, le texte apparaîtra +même s'il est caché comme dans l'exemple suivant. + +On n'oubliera pas d'écrire à la fin des commandes d'écriture des +textes\Cadre{$\backslash$composeSolid}, pour que tous ces tracés +soient pris en compte. +Toute autre commande de \texttt{PStricks} aura le même effet et +\verb+composeSolid+ sera superflu. + +\begin{center} +\psset{viewpoint=40 20 30 rtp2xyz,Decran=16} +\JuangJie \hfil +\psset{viewpoint=40 110 30 rtp2xyz,Decran=16} +\JuangJie +\end{center} +\begin{center} +\psset{viewpoint=40 200 30 rtp2xyz,Decran=16} +\JuangJie\hfil +\psset{viewpoint=40 290 30 rtp2xyz,Decran=16} +\JuangJie +\end{center} + + +\begin{center} +\begin{pspicture}(-8,-6)(8,3) +\psset{lightsrc=-15 -9 5} +\psframe(-8,-6)(8,3) +\psset{viewpoint=20 -150 30 rtp2xyz,Decran=11}\MollyBloom +\end{pspicture} +\end{center} +\begin{center} +\begin{pspicture}(-8,-6)(8,7) +\psset{lightsrc=0 0 3} +\psframe(-8,-6)(8,7) +\psset{viewpoint=6 -150 90 rtp2xyz,Decran=2.8}\MollyBloom +\end{pspicture} +\end{center} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionvecteur.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionvecteur.tex new file mode 100644 index 00000000000..2f35597d29c --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionvecteur.tex @@ -0,0 +1,95 @@ +\section {Vecteurs} + +\subsection {Définition directe} + +L'objet \Cadre{vecteur} permet de définir et tracer un vecteur. Sous +sa forme la plus simple, on utilise l'argument l'argument \verb+args+ +pour définir ses coordonnées $(X,Y)$ et on spécifie le point d'origine +où tracer le vecteur en utilisant les valeurs $(x,y)$ dans la commande +\verb+\psProjection+ (ou éventuellement un point nommé). + +Comme pour les points, on peut sauvegarder les coordonnées d'un +vecteur en utilisant l'option \Cadre{name}. + +\begin{multicols}{2} + +\begin{pspicture}(-3,-3)(4,3.5)% +\psframe*[linecolor=blue!50](-3,-3)(4,3.5) +\psset{viewpoint=50 30 15,Decran=60} +\psset{solidmemory} +%% definition du plan de projection +\psSolid[object=plan, + definition=equation, + args={[1 0 0 0] 90}, + planmarks, + name=monplan, +] +\psset{plan=monplan} +%% definition du point A +\psProjection[object=point, + args=-2 0.75, + name=A, + text=A, + pos=dl, +] +\psProjection[object=vecteur, + linecolor=red, + args=1 1, + name=U, +](1,0) +\psProjection[object=vecteur, + args=U, + linecolor=blue, +](A) +\composeSolid +\axesIIID(4,2,2)(5,4,3) +\end{pspicture} + +\columnbreak + +\begin{gbar} +\begin{verbatim} +\psProjection[object=point, + args=-2 0.75,name=A, + text=A,pos=dl,] +\psProjection[object=vecteur, + linecolor=red, + args=1 1,name=U, +](1,0) +\psProjection[object=vecteur, + args=U, + linecolor=blue, +](A) +\end{verbatim} +\end{gbar} + +\end{multicols} + +\subsection {Autres définitions} + +Il existe d'autres méthodes pour définir un vecteur 2d. L'argument +\Cadre{definition}, couplé à l'argument \Cadre{args} permet d'utiliser +les différentes méthodes supportées~: + +\begin{itemize} + +\item \Cadre {[definition=vecteur]} ; +\verb+args=+ $A$ $B$. Le vecteur $\overrightarrow {AB}$ + +\item \Cadre {[definition=orthovecteur]} ; +\verb+args=+ $u$. Un vecteur orthogonal à $\vec u$ et de même norme. + +\item \Cadre {[definition=normalize]} ; +\verb+args=+ $u$. Le vecteur $\Vert \vec u \Vert ^{-1} \vec u$ si $\vec +u \neq \vec 0$, et $\vec 0$ sinon. + +\item \Cadre {[definition=addv]} ; +\verb+args=+ $u$ $v$. Le vecteur $\vec u + \vec v$ + +\item \Cadre {[definition=subv]} ; +\verb+args=+ $u$ $v$. Le vecteur $\vec u - \vec v$ + +\item \Cadre {[definition=mulv]} ; +\verb+args=+ $u$ $\alpha $. Le vecteur $\alpha \vec u$ + +\end{itemize} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionvisibility.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionvisibility.tex new file mode 100644 index 00000000000..573dc473cc4 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projectionvisibility.tex @@ -0,0 +1,10 @@ +\section{Le paramètre \texttt{visibility}} + +Pour toutes les projections, le booléen \Cadre{[visibility]} (valeur +\verb+true+ par défaut) permet de +spécifier si l'on souhaite tenir compte ou non de la visibilité du +plan de projection. + +Positionné à \verb+false+, la projection est toujours +effectuée. Positionné à \verb+true+, la projection n'a lieu que si le +plan de projection est visible du point de vue de l'observateur. diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projpresentation.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projpresentation.tex new file mode 100644 index 00000000000..3a94de1f1ec --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-projpresentation.tex @@ -0,0 +1,15 @@ +\section {Présentation} + +Le package permet la manipulation et la représentation de quelques +objets simples à deux dimensions. Ces opérations se font toutes par le +biais de la macro \Cadre{$\backslash$psProjection} qui est destinée à +la manipulation d'objets 2d au regard d'un plan donné. + +Sa syntaxe est analogue à celle de \verb+\psSolid+, avec en +particulier la présence obligatoire de l'argument \Cadre{[object=]} +permettant de spécifier le type d'objet manipulé. + +Sa syntaxe générale est +\Cadre {$\backslash $psSolid[object=$objectname$, + plan=$plantype$<,$options$>]$(x,y)$} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ruban.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ruban.tex new file mode 100644 index 00000000000..401a378c005 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-ruban.tex @@ -0,0 +1,212 @@ +\section {Solide ruban} + +Le ruban est un paravent posé sur le sol horizontal. La base du paravent +est définie sur le plan $Oxy$ par les coordonnées des sommets placés dans +le sens trigonométrique par le paramètre \texttt{base} : +\begin{verbatim} +\psSolid[object=ruban,h=3,base=x1 y1 x2 y2 x3 y3 ...xn yn,ngrid=n](0,0,0)% +\end{verbatim} + +\subsection{Un simple paravent} +\begin{minipage}{0.6\linewidth} +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50,unit=0.75} +\begin{pspicture}(-5.5,-4.5)(7,5) +\psframe(-5.5,-4.5)(7,5) +\psSolid[object=grille,base=-4 6 -4 4,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=3,fillcolor=red!50, + base=0 0 2 2 4 0 6 2, + num=0 1 2 3, + show=0 1 2 3, + ngrid=3 + ](0,0,0) +\axesIIID(0,2,0)(6,6,4.5) +\end{pspicture} +\end{minipage} +% +\begin{minipage}{0.49\linewidth} +\begin{verbatim} +\begin{pspicture}(-5,-4)(6,7) +\psframe(-5,-4)(6,7) +\psSolid[ + object=grille,base=-4 6 -4 4, + action=draw](0,0,0) +\psSolid[ + object=ruban,h=3, + fillcolor=red!50, + base=0 0 2 2 4 0 6 2, + num=0 1 2 3, + show=0 1 2 3, + ngrid=3 + ](0,0,0) +\axesIIID(0,2,0)(6,6,6) +\end{pspicture} +\end{verbatim} +\end{minipage} + + +\subsection{Un paravent sinusoïdal} + +\begin{center} +\psset{unit=0.6} +\psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=50} +\begin{pspicture}(-10,-6)(12,8) +\psframe(-10,-6)(12,7) +\defFunction{F}(t){2 t 4 mul cos mul}{t 20 div}{} +\psSolid[object=grille,base=-6 6 -10 10,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=2,fillcolor=red!50, + resolution=72, + base=-200 200 {F} CourbeR2+, %% -200 5 200 {/Angle ED 2 Angle 4 mul cos mul Angle 20 div } for, + ngrid=4](0,0,0) +\axesIIID(5,10,0)(7,11,6) +\end{pspicture} +\end{center} + +\begin{verbatim} +\psset{unit=0.6} +\psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=50} +\begin{pspicture}(-10,-5)(12,7) +\psframe(-10,-5)(12,7) +\defFunction{F}(t){2 t 4 mul cos mul}{t 20 div}{} +\psSolid[object=grille,base=-6 6 -10 10,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=2,fillcolor=red!50, + resolution=72, + base=-200 200 {F} CourbeR2+, + ngrid=4](0,0,0) +\axesIIID(5,10,0)(7,11,6) +\end{pspicture} +\end{verbatim} + + + +\subsection{Une surface ondulée} + +C'est le même objet que précédemment en lui faisant subir une rotation de +$90^{\mathrm{o}}$ autour de $Oy$. +\begin{center} +\psset{unit=0.6} +\psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-14,-7)(8,5) +\psframe(-14,-7)(8,5) +\defFunction{F}(t){t 4 mul cos}{t 20 div}{} +\psSolid[object=grille,base=0 16 -10 10,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=16,fillcolor=red!50,RotY=90,incolor=green!20, + resolution=72, + base=-200 200 {F} CourbeR2+, + ngrid=16](0,0,1) +\axesIIID(16,10,0)(20,12,6) +\end{pspicture} +\end{center} +\begin{verbatim} +\psset{unit=0.6} +\psset{lightsrc=10 30 10,viewpoint=50 50 20 rtp2xyz,Decran=30} +\begin{pspicture}(-14,-7)(8,7) +\defFunction{F}(t){t 4 mul cos}{t 20 div}{} +\psSolid[object=grille,base=0 16 -10 10,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=16,fillcolor=red!50,RotY=90,incolor=green!20, + resolution=72, + base=-200 200 {F} CourbeR2+, + ngrid=16](0,0,1) +\psframe(-14,-7)(8,7) +\axesIIID(16,10,0)(20,12,6) +\end{pspicture} +\end{verbatim} +On peut ensuite l'imaginer comme toit en tôle ondulée d'un abri quelconque. + + +\subsection{Un paravent étoilé : version 1} +Le contour du paravent est défini dans une boucle : +\begin{verbatim} + base=0 72 360 {/Angle ED 5 Angle cos mul 5 Angle sin mul + 3 Angle 36 add cos mul 3 Angle 36 add sin mul} for +\end{verbatim} +la surface bleutée du fond est définie à l'aide d'un polygone dont les +sommets sont calculés par la commande \\\verb+\psPoint(x,y,z){P}+ +\begin{verbatim} +\multido{\iA=0+72,\iB=36+72,\i=0+1}{6}{% + \psPoint(\iA\space cos 5 mul,\iA\space sin 5 mul,0){P\i} + \psPoint(\iB\space cos 3 mul,\iB\space sin 3 mul,0){p\i} + }% +\pspolygon[fillstyle=solid,fillcolor=blue!50](P0)(p0)(P1)(p1)(P2)(p2) + (P3)(p3)(P4)(p4)(P5)(p5) +\end{verbatim} +\begin{center} +\psset{unit=0.55} +\psset{lightsrc=10 0 10,viewpoint=50 20 30 rtp2xyz,Decran=50} +\begin{pspicture}(-9,-5)(9,7) +\psframe(-9,-5)(9,7) +\multido{\iA=0+72,\iB=36+72,\i=0+1}{6}{% + \psPoint(\iA\space cos 5 mul,\iA\space sin 5 mul,0){P\i} + \psPoint(\iB\space cos 3 mul,\iB\space sin 3 mul,0){p\i} + }% +\pspolygon[fillstyle=solid,fillcolor=blue!50](P0)(p0)(P1)(p1)(P2)(p2)(P3)(p3)(P4)(p4)(P5)(p5) +\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=1,fillcolor=red!50, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + num=0 1 2 3, + show=0 1 2 3, + ngrid=2](0,0,0) +\axesIIID(5,5,0)(6,6,6) +\end{pspicture} +\end{center} +\begin{verbatim} +\begin{pspicture}(-9,-5)(9,7) +\psframe(-9,-5)(9,7) +\multido{\iA=0+72,\iB=36+72,\i=0+1}{6}{% + \psPoint(\iA\space cos 5 mul,\iA\space sin 5 mul,0){P\i} + \psPoint(\iB\space cos 3 mul,\iB\space sin 3 mul,0){p\i} + }% +\pspolygon[fillstyle=solid,fillcolor=blue!50] + (P0)(p0)(P1)(p1)(P2)(p2)(P3)(p3)(P4)(p4)(P5)(p5) +\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=1,fillcolor=red!50, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + num=0 1 2 3, show=0 1 2 3, ngrid=2](0,0,0) +\axesIIID(5,5,0)(6,6,6) +\end{pspicture} +\end{verbatim} + + +\subsection{Un paravent étoilé : version 2} + +Le fond du récipient est défini par l'objet \texttt{face} avec l'option +\texttt{biface}~: +\begin{center} +\psset{unit=0.55} +\psset{lightsrc=10 0 10,viewpoint=50 -20 20 rtp2xyz,Decran=50} +\begin{pspicture}(-9,-4)(9,7) +\psframe(-9,-4)(9,7) +\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\psSolid[object=face,fillcolor=blue!50, + biface, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + ](0,0,0) +\psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=1,fillcolor=red!50, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + ngrid=2](0,0,0) +\axesIIID(5,5,0)(6,6,6) +\end{pspicture} +\end{center} +\begin{verbatim} +\psset{lightsrc=10 0 10,viewpoint=50 -20 20 rtp2xyz,Decran=50} +\begin{pspicture}(-9,-4)(9,7) +\psframe(-9,-4)(9,7) +\defFunction{F}(t){t cos 5 mul}{t sin 5 mul}{} +\defFunction{G}(t){t 36 add cos 3 mul}{t 36 add sin 3 mul}{} +\psSolid[object=face,fillcolor=blue!50, + biface, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + ](0,0,0) +\psSolid[object=grille,base=-6 6 -6 6,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=1,fillcolor=red!50, + base=0 72 360 {/Angle exch def Angle F Angle G} for, + ngrid=2](0,0,0) +\axesIIID(5,5,0)(6,6,6) +\end{pspicture} +\end{verbatim} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-section.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-section.tex new file mode 100644 index 00000000000..7711e4e2fc0 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-section.tex @@ -0,0 +1,934 @@ +\section {Sectionner un solide par un plan} + +\subsection{Tracer l'intersection d'un plan et d'un solide} + +\subsubsection{Les paramètres} + +C'est l'option \Cadre{intersectionplan=\{[a b c d]\}} qui permet de +tracer l'intersection d'un plan et d'un solide. L'argument entre les +crochets contient les paramètres du plan affine ayant pour équation : +$ax+by+cz+d=0$. Il est possible de dessiner l'intersection du solide +avec plusieurs plans en plaçant à la suite les paramètres de ces plans +comme dans l'exemple suivant. + +Le tracé est activé avec \Cadre{intersectiontype=0} ou toute autre valeur $\geq0$. + +La couleur du tracé est choisie dans l'option +\Cadre{intersectioncolor=(bleu) (rouge) etc.}. On donne successivement +dans l'ordre, l'épaisseur de chaque tracé par +\Cadre{intersectionlinewidth=1 2 etc.} (dimensions en picas). + +Le tracé en traits discontinus des parties cachées sera activé avec \Cadre{action=draw}. + +\begin{LTXexample}[width=6cm] +\begin{pspicture}(-3,-2)(3,7) +\psset{lightsrc=viewpoint,viewpoint=50 20 20 rtp2xyz,Decran=50} +\psset{lightsrc=viewpoint} +\psSolid[object=cylindre, + ngrid=1 24, + r=2, + fillcolor=yellow!25, + intersectiontype=0, + intersectionplan={ + [0 0 1 -1] + [0 0 1 -2] + [0 0 1 -3] + [0.894 0 0.447 -1.8]}, + intersectioncolor=(bleu) (rouge) (vert) (rose), + intersectionlinewidth=1 1.5 1.8 2.2] +\axesIIID(2,2,6)(3,3,7) +\end{pspicture} +\end{LTXexample} +\subsection{Coupes d'un solide} +\subsubsection{Coupe du solide plein} +L'objet étudié est un cylindre. +Le plan qui coupe l'objet sera défini par : +\begin{gbar} + \begin{verbatim} + plansepare={[a b c d]} + \end{verbatim} +\end{gbar} +Les deux parties ne seront pas tracées mais mises en mémoire avec le nom commun \Cadre{name=partiescylindre} : +\begin{gbar} + \begin{verbatim} +\psset{solidmemory} +\psSolid[object=cylindre, + r=2,h=6 + ngrid=6 24, + plansepare={[0.707 0 0.707 0]}, + name=partiescylindre, + action=none](0,0,-3) + \end{verbatim} +\end{gbar} +Puis affichées séparément avec leur indice respectif. C'est le sens de la normale du plan de séparation qui détermine le numérotage des deux parties : \Cadre{0} celle qui est \textit{au-dessus} de la normale et \Cadre{1} celle qui est \textit{au-dessous}. Pour les deux parties, la face de découpe porte le numéro \Cadre{0}. +S'il y a plusieurs faces de découpe, comme dans le cas du tore elles sont numérotées \Cadre{0, 1 etc.} +\begin{gbar} + \begin{verbatim} +\psSolid[object=load, + load=partiescylindre1, + fillcolor={[rgb]{0.7 1 0.7 }}, + fcol=0 (1 1 0.7 setrgbcolor)] +\psSolid[object=load, + load=partiescylindre0,RotZ=60, + fillcolor={[rgb]{0.7 1 0.7 }}, + fcol=0 (1 1 0.7 setrgbcolor)](0,4,0) + \end{verbatim} +\end{gbar} +\begin{center} +\begin{pspicture}(-4,-5)(7,4) +\psframe(-4,-5)(7,4) +\psset{viewpoint=50 -40 10 rtp2xyz,Decran=50,linecolor=darkgray} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille,action=draw, + base=-3 5 -3 5, + linecolor=red](0,0,-3) +\psset{solidmemory} +\psSolid[object=cylindre, + r=2,h=6, + ngrid=6 24, + plansepare={[0.707 0 0.707 0]}, + name=partiescylindre, + action=none](0,0,-3) +\psSolid[object=load, + load=partiescylindre1, + fillcolor={[rgb]{0.7 1 0.7 }}, + fcol=0 (1 1 0.7 setrgbcolor)] +\psSolid[object=load, + load=partiescylindre0,RotZ=90, + fillcolor={[rgb]{0.7 1 0.7 }}, + fcol=0 (1 1 0.7 setrgbcolor)](0,4,0) +\psSolid[object=plan,action=draw, + definition=equation, + args={[0.707 0 0.707 0] 90}, + base=-2 2 -3 3,planmarks,showBase] +\axesIIID(0,0,0)(2.5,2.5,3.5) +\end{pspicture} +\end{center} + +\subsubsection{Coupe du solide creux} +Les options \Cadre{rm=0,hollow} permettent, l'une d'enlever la face de +découpe \Cadre{rm=0} et l'autre, \Cadre{hollow} de voir l'intérieur. +\begin{center} +\begin{pspicture}(-4,-5)(7,4) +\psframe(-4,-5)(7,4) +\psset{viewpoint=50 -40 10 rtp2xyz,Decran=50,linecolor=darkgray} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille,action=draw, + base=-3 5 -3 5, + linecolor=red](0,0,-3) +\psset{solidmemory} +\psSolid[object=cylindre, + r=2,h=6, + ngrid=6 24, + plansepare={[0.707 0 0.707 0.5]}, + name=partiescylindre, + action=none](0,0,-3) +\psSolid[object=load, + load=partiescylindre1, + fillcolor={[rgb]{0.7 1 0.7 }}, + rm=0,hollow, + incolor={[rgb]{1 1 0.7}}] +\psSolid[object=load, + load=partiescylindre0,RotZ=90, + fillcolor={[rgb]{0.7 1 0.7 }}, + rm=0,hollow, + incolor={[rgb]{1 1 0.7}}](0,4,0) +\psSolid[object=plan,action=draw, + definition=equation, + args={[0.707 0 0.707 0.5] 90}, + base=-2 2 -3 3,planmarks,showBase] +\composeSolid +\end{pspicture} +\end{center} + + +\subsection{Tranche d'une pyramide} + +\subsubsection{Marquage des lignes de niveau et première découpe} + +Cette pyramide est créée comme un \Cadre{object=new} en donnant le +liste des coordonnées des sommets et des faces. +\begin{gbar} +\begin{verbatim} + sommets= + 0 -2 0 %% 0 + -2 0 0 %% 1 + 0 4 0 %% 2 + 4 0 0 %% 3 + 0 0 5, %% 4 + faces={ + [3 2 1 0] + [4 0 3] + [4 3 2] + [4 2 1] + } +\end{verbatim} +\end{gbar} +Dans une première étape, facultative, on marque les lignes de découpe. +\begin{gbar} + \begin{verbatim} + intersectiontype=0, + intersectionplan={[0 0 1 -1] [0 0 1 -2]}, + intersectionlinewidth=1 2, + intersectioncolor=(bleu) (rouge) + \end{verbatim} +\end{gbar} +Et on coupe la pointe supérieure, en dessinant aussi le plan de coupe. +\begin{gbar} + \begin{verbatim} +\psSolid[object=new, + sommets= + 0 -2 0 %% 0 + -2 0 0 %% 1 + 0 4 0 %% 2 + 4 0 0 %% 3 + 0 0 5, %% 4 + faces={ + [3 2 1 0] + [4 0 3] + [4 3 2] + [4 2 1] + [4 1 0]}, + plansepare={[0 0 1 -2]}, + name=firstSlice, + action=none] +\psSolid[object=load,action=draw*, + load=firstSlice1] +\psSolid[object=plan, + definition=equation, + args={[0 0 1 -2]}, + base=-3 5 -3 5,action=draw] + \end{verbatim} +\end{gbar} +Pour ne pas avoir à chaque fois à réécrire sommets et faces de la pyramide, on enregistre ses données dans les fichiers : +\begin{itemize} + \item Pyramid-couleurs.dat + \item Pyramid-faces.dat + \item Pyramid-sommets.dat + \item Pyramid-io.dat +\end{itemize} +grâce à la commande \Cadre{action=writesolid} : +\begin{gbar} + \begin{verbatim} +\psSolid[object=new, + sommets= + 0 -2 0 %% 0 + -2 0 0 %% 1 + 0 4 0 %% 2 + 4 0 0 %% 3 + 0 0 5, %% 4 + faces={ + [3 2 1 0] + [4 0 3] + [4 3 2] + [4 2 1] + [4 1 0] +},file=Pyramid,fillcolor=yellow!50, + action=writesolid] + \end{verbatim} +\end{gbar} +Toutes ces lignes pourront alors être supprimées et par la suite, on +appellera ces données avec la commande : +\begin{gbar} + \begin{verbatim} +\psSolid[object=datfile, + file=Pyramid] + \end{verbatim} +\end{gbar} +\begin{center} +\psset{unit=0.75} +\begin{pspicture}(-5,-2)(5,7) +\psframe(-5,-2)(5,7) +\psset{viewpoint=50 20 10 rtp2xyz,Decran=50} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-3 5 -3 5, + linecolor=gray] +%% create the pyramid with base area in xy-plane +\psSolid[object=new, + sommets= + 0 -2 0 %% 0 + -2 0 0 %% 1 + 0 4 0 %% 2 + 4 0 0 %% 3 + 0 0 5, %% 4 +faces={ + [3 2 1 0] + [4 0 3] + [4 3 2] + [4 2 1] + [4 1 0] +}, action=draw*, + intersectiontype=0, + intersectionplan={[0 0 1 -1] + [0 0 1 -2]}, + intersectionlinewidth=1 2, + intersectioncolor=(bleu) (rouge)] +\axesIIID[linecolor=blue](4,4,5)(5,5,6) +\end{pspicture} +\hfill +\begin{pspicture}(-5,-2)(5,7) +\psframe(-5,-2)(5,7) +\psset{viewpoint=50 20 10 rtp2xyz,Decran=50} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-3 5 -3 5, + linecolor=gray] +\psset{solidmemory} +%% create the pyramid with base area in xy-plane +\psSolid[object=new, + sommets= + 0 -2 0 %% 0 + -2 0 0 %% 1 + 0 4 0 %% 2 + 4 0 0 %% 3 + 0 0 5, %% 4 +faces={ + [3 2 1 0] + [4 0 3] + [4 3 2] + [4 2 1] + [4 1 0] +}, + plansepare={[0 0 1 -2]}, + name=firstSlice, + action=none] +\psSolid[object=load,action=draw*, + load=firstSlice1] +\psSolid[object=plan, + definition=equation, + args={[0 0 1 -2]}, + base=-3 5 -3 5,action=draw] +\axesIIID[linecolor=blue](4,4,2)(5,5,6) +\end{pspicture} +\end{center} + +\subsubsection{Deuxième découpe et son insertion dans la pyramide} +Après avoir ôté la partie supérieure \Cadre{firstSlice0} (elle n'apparaît +plus), on découpe dans la partie restante, nommée \Cadre{firstSlice1}, la +base de la pyramide en gardant le haut \Cadre{secondSlice0}, puis on +enregistre la tranche de pyramide restante afin de l'insérer dans la +pyramide en fil de fer~: +\begin{gbar} + \begin{verbatim} +\psset{solidmemory} +\psSolid[object=datfile, + file=Pyramid, + plansepare={[0 0 1 -2]}, + name=firstSlice, + action=none] +\psSolid[object=load, + load=firstSlice1, + action=none, + plansepare={[0 0 1 -1]}, + name=secondSlice] +\psSolid[object=load,action=draw*, + load=secondSlice0] +\psSolid[object=load, + load=secondSlice0, + file=slicePyramid, + action=writesolid] +\psSolid[object=datfile,fillcolor=yellow!50, + file=slicePyramid] + \end{verbatim} +\end{gbar} + +\begin{center} +\psset{unit=0.75} +\begin{pspicture}(-5,-2)(4,7) +%\psframe(-4,-2)(4,7) +\psset{viewpoint=50 20 10 rtp2xyz,Decran=50} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-3 5 -3 5, + linecolor=gray] +\psset{solidmemory} +%% create the pyramid with base area in xy-plane +%\psSolid[object=new, +% sommets= +% 0 -2 0 %% 0 +% -2 0 0 %% 1 +% 0 4 0 %% 2 +% 4 0 0 %% 3 +% 0 0 5, %% 4 +% faces={ +% [3 2 1 0] +% [4 0 3] +% [4 3 2] +% [4 2 1] +% [4 1 0] +%},file=Pyramid,fillcolor=yellow!50, +% action=writesolid] +\psSolid[object=datfile, + file=Pyramid, + plansepare={[0 0 1 -2]}, + name=firstSlice, + action=none] +\psSolid[object=plan, + definition=equation, + args={[0 0 1 -1]},action=draw, + base=-3 5 -3 5] +\psSolid[object=load, + load=firstSlice1, + action=none, + plansepare={[0 0 1 -1]}, + name=secondSlice] +%\psSolid[object=load,action=draw*, +% load=secondSlice0] +%\psSolid[object=load, +% load=secondSlice0, +% file=slicePyramid, +% action=writesolid] +\psSolid[object=datfile,fillcolor=yellow!50, + file=slicePyramid] +\psSolid[object=plan, + definition=equation, + args={[0 0 1 -2]}, + base=-3 5 -3 5,action=draw] +\axesIIID[linecolor=blue](0,0,2)(5,5,6) +\end{pspicture} +\hfill +\begin{pspicture}(-4,-2)(6,7) +\psset{viewpoint=50 20 10 rtp2xyz,Decran=50} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-3 5 -3 5, + linecolor=gray] +\psSolid[object=datfile,fillcolor=yellow!50, + file=slicePyramid] +\psSolid[object=datfile, + file=Pyramid,action=draw] +\axesIIID[linecolor=blue](4,4,2)(5,5,6) +\end{pspicture} +\end{center} + +\subsection{Coupe d'un octaèdre par un plan parallèle à l'une des faces} + +\subsubsection{Voir l'intérieur} +Rappelons que ce sont les options \Cadre{rm=0,hollow} qui permettent, +l'une d'enlever la face de découpe \Cadre{rm=0} et l'autre +\Cadre{hollow} de voir l'intérieur. + +Dans l'exemple ci-dessous, on commence par construire les objets +nécessaires, sans les dessiner (\verb+action=none+). + +On construit l'octaèdre, on nomme $G$ le centre de la face d'indice +$1$, puis on définit le point $H$ vérifiant $\overrightarrow{OH} = +0,8\overrightarrow {OG}$. On définit ensuite le plan $P$ passant par +$H$ et parallèle à la face d'indice $1$ de l'octaèdre. On pratique +ensuite la séparation de l'octaèdre par le plan $P$. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3.5,-3)(4.5,5) +\psset{viewpoint=100 5 10 rtp2xyz,Decran=80, + lightsrc=viewpoint,solidmemory,action=none} +\psSolid[object=octahedron, + a=4,name=my_octahedron,] +\psSolid[object=point, + definition=solidcentreface, + args=my_octahedron 1, + name=G,] +\psSolid[object=point, + definition=mulv3d, + args=G .8, + name=H,] +\psSolid[object=plan, + definition=solidface, + args=my_octahedron 1, + base=-4 4 -4 4, + name=P,](H,,) +\psSolid[object=load, + load=my_octahedron, + plansepare=P, + name=part] +\psSolid[object=load,load=part1, + rm=0,hollow,action=draw**, + fillcolor={[rgb]{0.7 1 0.7}}, + incolor={[rgb]{1 1 0.7}},] +\psSolid[object=plan,args=P, + action=draw,showBase] +\psSolid[object=line, + args=0 0 0 H, + linestyle=dashed,] +\psProjection[object=point,plan=P,args=0 0, + fontsize=20,pos=cl,text=H,phi=90,] +\axesIIID[linecolor=blue,linewidth=0.4pt](0,0,0)(4,4,4) +\end{pspicture} +\end{LTXexample} + +\subsubsection{On considère le solide comme plein} + +L'option \Cadre{fcol=0 (YellowOrange)} permet de colorier la face de +découpe qui est la face \Cadre{0}. + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3.5,-3)(4.5,5) +\psset{viewpoint=100 5 10 rtp2xyz,Decran=80, + lightsrc=viewpoint,solidmemory,action=none} +\psSolid[object=octahedron, + a=4,name=my_octahedron,] +\psSolid[object=point, + definition=solidcentreface, + args=my_octahedron 1, + name=G,] +\psSolid[object=point, + definition=mulv3d, + args=G .8, + name=H,] +\psSolid[object=plan, + definition=solidface, + args=my_octahedron 1, + base=-4 4 -4 4, + name=P,](H,,) +\psSolid[object=load, + load=my_octahedron, + plansepare=P, + name=part] +\psSolid[object=load, + load=part1, + fcol=0 (YellowOrange), + action=draw**, + fillcolor={[rgb]{0.7 1 0.7}},] +\psSolid[object=plan,args=P, + action=draw,showBase] +\psSolid[object=line, + args=0 0 0 H, + linestyle=dashed,] +\psProjection[object=point,plan=P,args=0 0, + fontsize=20,pos=cl,text=H,phi=90,] +\axesIIID[linecolor=blue,linewidth=0.4pt](0,0,0)(4,4,4) +\end{pspicture} +\end{LTXexample} + +\subsubsection{Les deux parties du solide découpé} + +On rappelle que c'est le sens de la normale du plan de séparation qui +détermine le numérotage des deux parties : \Cadre{0} celle qui est +\textit{au-dessus} de la normale et \Cadre{1} celle qui est +\textit{au-dessous}. Pour les deux parties, la face de découpe porte +le numéro \Cadre{0}. +S'il y a plusieurs faces de découpe, comme dans le cas du tore elles +sont numérotées \Cadre{0, 1 etc.} + +On opère en deux étapes, mise en mémoire des deux parties du solide découpé : +\begin{gbar} + \begin{verbatim} +\psSolid[object=load, + load=my_octahedron, + plansepare=P, + name=part] + \end{verbatim} +\end{gbar} +Puis placement et traitement de chacune des parties : +\begin{gbar} + \begin{verbatim} +\psSolid[object=load, + fcol=0 (YellowOrange), + fillcolor={[rgb]{0.7 1 0.7}}, + load=part1] +\psSolid[object=load, + fillcolor={[rgb]{0.7 1 0.7}}, + load=part0](H 2 mulv3d,,) +\composeSolid + \end{verbatim} +\end{gbar} + +\begin{LTXexample}[width=7.5cm] +\begin{pspicture}(-3.5,-3)(4.5,5) +\psset{viewpoint=100 5 20 rtp2xyz,Decran=150, + lightsrc=viewpoint,solidmemory,action=none} +\psSolid[object=octahedron, + a=2,name=my_octahedron,] +\psSolid[object=point, + definition=solidcentreface, + args=my_octahedron 1, + name=G,] +\psSolid[object=point, + definition=mulv3d, + args=G .7, + name=H,] +\psSolid[object=plan, + definition=solidface, + args=my_octahedron 1, + base=-4 4 -4 4, + name=P,](H,,) +\psSolid[object=load, + load=my_octahedron, + plansepare=P, + name=part] +\psset{action=draw**} +\psSolid[object=load, + load=part1, + fcol=0 (YellowOrange), + fillcolor={[rgb]{0.7 1 0.7}},] +\psSolid[object=load, + fillcolor={[rgb]{0.7 1 0.7}}, + load=part0](H 2 mulv3d,,) +\composeSolid +\end{pspicture} +\end{LTXexample} + +\subsection{Coupes d'un cube} + +\subsubsection{Marquage de la ligne de découpage} + +\begin{LTXexample}[width=8cm] +\psset{viewpoint=100 30 20 rtp2xyz,Decran=150} +\begin{pspicture}(-4,-3)(4,5) +\psframe(-4,-3)(4,5) +\psset{solidmemory} +\psSolid[object=plan,definition=normalpoint, + args={1 1 1 [1 1 1]},action=none,name=P] +\psSolid[object=cube,a=2,action=draw, + intersectiontype=0, + intersectionplan=P, + intersectionlinewidth=2, + intersectioncolor=(rouge), +](1,1,1) +\psProjection[object=point, + args=0 0,fontsize=10,pos=dc, + text=H,phi=-30,plan=P, +] +\psSolid[object=line, + linestyle=dashed, + args=0 0 0 1 1 1] +\psSolid[object=vecteur, + linecolor=red, + args=1 1 1 .7 mulv3d](1,1,1) +\axesIIID[linecolor=blue](2,2,2)(2.5,2.5,2.5) +\end{pspicture} +\end{LTXexample} + +\subsubsection{Représentation du cube découpé avec une face de découpe hexagonale} + +\begin{LTXexample}[width=8cm] +\psset{viewpoint=100 30 20 rtp2xyz,Decran=150} +\begin{pspicture}(-4,-3)(4,5) +\psframe(-4,-3)(4,5) +\psset{solidmemory} +\psSolid[object=plan,action=none,definition=normalpoint, + args={1 1 1 [1 1 1]},name=P] +\psSolid[object=cube,a=2, + plansepare=P, + action=none, + name=parts_cube, +](1,1,1) +\psSolid[object=load, + load=parts_cube1, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, +] +\psProjection[object=point, + args=0 0,fontsize=10,pos=dc, + text=H,phi=-30,plan=P, +] +\psSolid[object=vecteur, + linecolor=red, + args=1 1 1 .7 mulv3d](1,1,1) +\axesIIID[linecolor=blue](2,2,2)(2.5,2.5,2.5) +\end{pspicture} +\end{LTXexample} + +\subsubsection{Cube découpé dans des différentes positions} + +Où on utilise l'option permettant de mémoriser un solide pour, après +diverses transformations, faire reposer le cube tronqué sur sa face de +découpe. +\begin{gbar} + \begin{verbatim} +\psset{solidmemory} +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + name=C1, + action=none, + file=cubeHexagone] + \end{verbatim} +\end{gbar} + +\begin{center} +\begin{pspicture}(-3,-3)(3,3) +\psframe(-3,-2)(3,3) +\psset{viewpoint=100 30 20 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-2 3 -2 3, + linecolor=gray] +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + file=cubeHexagone] +\axesIIID[linecolor=blue](2,2,2)(2.5,2.5,2.5) +\end{pspicture} + +\hfil + +\begin{pspicture}(-2,-3)(4,3) +\psframe(-2,-2)(4,3) +\psset{viewpoint=100 -30 20 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-2 3 -2 3, + linecolor=gray] +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + file=cubeHexagone] +\axesIIID[linecolor=blue](2,2,2)(2.5,2.5,2.5) +\end{pspicture} + +\begin{pspicture}(-3,-2)(3,3) +\psframe(-3,-2)(3,3) +\psset{viewpoint=100 225 20 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-2 3 -2 3, + linecolor=gray] +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + file=cubeHexagone] +\axesIIID[linecolor=blue](0,0,0)(2.5,2.5,2.5) +\end{pspicture} +\hfil +\begin{pspicture}(-3,-2)(3,3) +\psframe(-3,-2)(3,3) +\psset{viewpoint=100 30 20 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-2 3 -2 3, + linecolor=gray] +\psset{solidmemory} +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + name=C1, + action=none, + file=cubeHexagone] +\codejps{C1 {-1.5 -1.5 0 translatepoint3d} solidtransform +drawsolid** +} +\axesIIID[linecolor=blue](0,0,0)(2.5,2.5,2.5) +\end{pspicture} + +\begin{pspicture}(-3,-2)(3,4) +\psframe(-3,-2)(3,3) +\psset{viewpoint=100 30 20 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-2 3 -2 3, + linecolor=gray] +\psset{solidmemory} +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + name=C1, + action=none, + file=cubeHexagone] +\codejps{C1 {-1.5 -1.5 0 translatepoint3d} solidtransform + {0 0 45 rotateOpoint3d} solidtransform +drawsolid** +} +%\composeSolid +\axesIIID[linecolor=blue](0,0,0)(2.5,2.5,2.5) +\end{pspicture} +\hfil +\begin{pspicture}(-3,-2)(3,4) +\psframe(-3,-2)(3,3) +\psset{viewpoint=100 30 20 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psSolid[object=grille, + base=-2 3 -2 3, + linecolor=gray] +\psset{solidmemory} +\psSolid[object=datfile, + fcol=0 (Dandelion), + fillcolor={[rgb]{0.7 1 0.7}}, + name=C1, + action=none, + file=cubeHexagone] +\codejps{C1 {-1.5 -1.5 0 translatepoint3d} solidtransform + {0 0 45 rotateOpoint3d} solidtransform + {-35.2644 -90 add 0 0 rotateOpoint3d} solidtransform +drawsolid* +} +\axesIIID[linecolor=blue](1,2.5,0.5)(2.5,3,2.5) +\end{pspicture} +\end{center} + + +\subsection{Sections multiples} + +\subsubsection{Coupes dans une sphère avec \texttt{PStricks}} + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-4,-4)(4,4) +\psframe(-4,-4)(4,4) +\psset{viewpoint=100 20 20 rtp2xyz,Decran=75} +\psset{solidmemory,lightsrc=viewpoint} +\codejps{ + /coeff 0.75 def /rO 4 def /OH coeff rO mul neg def}% +\psSolid[object=sphere, + r=rO,ngrid=9 18, + plansepare={[1 0 0 OH]}, + name=part, + action=none] +\psSolid[object=load, + load=part1,plansepare={[-1 0 0 OH]},action=none,name=part] +\psSolid[object=load, + load=part1,plansepare={[0 1 0 OH]},action=none,name=part] +\psSolid[object=load, + load=part1,plansepare={[0 -1 0 OH]},action=none,name=part] +\psSolid[object=load, + load=part1,plansepare={[0 0 1 OH]},action=none,name=part] +\psSolid[object=load, + load=part1,plansepare={[0 0 -1 OH]},action=none,name=part] +\psSolid[object=load,hue=.1 .8 0.5 1, + load=part1](0,0,0) +\composeSolid +\end{pspicture} +\end{LTXexample} + +\subsubsection{Sections multiples d'un parallélépipède} + +Les sections multiples gagneront à être exécutées dans une boucle +\texttt{postscript}, dans \Cadre{\textbackslash codejps}, c'est plus +simple et plus rapide ! + +Dans cet exemple, le solide de départ est un parallélépipède. Troncatures des sommets et chanfreinages des arêtes sont réalisées avec des plans de coupe successifs, d'abord les sommets puis les arêtes. + +\begin{LTXexample}[width=7cm] +\begin{pspicture}(-3.5,-4)(3.5,4) +\psset{viewpoint=100 -20 10 rtp2xyz,Decran=100} +%\lightsource +\psset{lightsrc=viewpoint} +\psframe(-3.5,-4)(3.5,4) +\codejps{ +4 4 6 newparallelepiped +45 90 360 { +/iAngle exch def + /n_x iAngle cos 35.2644 cos mul def + /n_y iAngle sin 35.2644 cos mul def + /n_z 35.2644 sin def + /distance 2 3 add 3 sqrt div neg def +[ n_x n_y n_z distance] +solidplansepare +} for +45 90 360 { +/iAngle exch def + /n_x iAngle cos 35.2644 cos mul def + /n_y iAngle sin 35.2644 cos mul def + /n_z 35.2644 sin neg def + /distance 2 3 add 3 sqrt div neg def +[ n_x n_y n_z distance] +solidplansepare +} for +45 90 360 { +/iAngle exch def +% plan : ax+by+cz-d=0 +[ iAngle cos % a + iAngle sin % b + 0 % c + -2.5 % -d +] solidplansepare +} for +dup [.5 .2] solidputhuecolors +solidlightOn +drawsolid*} +\end{pspicture} +\end{LTXexample} +\subsection{Sections d'un tore} +%\begin{pspicture}(-6,-4)(6,4) +%\psSolid[r1=3,r0=1.5, +% object=tore, +%% ngrid=18 60, +% file=tore1860,action=writesolid] +%\end{pspicture} + +\begin{center} +\begin{pspicture}(-6,-4)(6,4) +\pstVerb{/Ampl 3 2 sqrt mul def}% +\psset{viewpoint=50 -10 30 rtp2xyz,Decran=50} +%\lightsource +\psset{lightsrc=viewpoint} +\defFunction[algebraic]{lemniscate}(t){1.5}{Ampl*sin(t)/(1+cos(t)*cos(t))}{Ampl*sin(t)*cos(t)/(1+cos(t)*cos(t))} +\psframe[fillstyle=solid,fillcolor=gray!50](-6,-4)(6,4) +%\psset{solidmemory} +%\psSolid[object=datfile,file=tore1860, +% plansepare={[1 0 0 -1.5]}, +% name=lemniscate, +% action=none](0,0,0) +%\psSolid[object=load, +% load=lemniscate1, +% file=tore1860lemniscate,action=writesolid](0,0,0) +\psSolid[object=datfile,file=tore1860lemniscate, + fcol=0 (0.5 0.72 0.5 setrgbcolor) + 1 (0.5 0.72 0.5 setrgbcolor), + fillcolor=green!30, + intersectiontype=0, + intersectionplan={ + [1 0 0 -1.5]}, + intersectioncolor=(rouge), + intersectionlinewidth=2.2] +\psSolid[object=courbe,r=0,linewidth=2pt, + range=0 6.28, + linecolor=red, + function=lemniscate]% +\psSolid[object=plan,action=draw, + definition=equation, + args={[1 0 0 -1.5] 90}, + base=-5 5 -2 2,planmarks,showBase] +%\composeSolid +\end{pspicture} +\end{center} +\begin{center} +\begin{pspicture}(-6,-4)(6,4) +\pstVerb{/Ampl 3 2 sqrt mul def}% +\defFunction[algebraic]{lemniscate}(t){1.5}{Ampl*sin(t)/(1+cos(t)*cos(t))}{Ampl*sin(t)*cos(t)/(1+cos(t)*cos(t))} +\psset{viewpoint=50 -10 30 rtp2xyz,Decran=50} +%\lightsource +\psset{lightsrc=viewpoint} +\psframe[fillstyle=solid,fillcolor=gray!50](-6,-4)(6,4) +\psSolid[object=datfile,file=tore1860lemniscate, + hollow, + rm=0 1, + fillcolor=green!30,incolor=yellow!50] +\psSolid[object=courbe,r=0,linewidth=2pt, + range=0 6.28, + linecolor=red, + function=lemniscate]% +\psSolid[object=plan,action=draw, + definition=equation, + args={[1 0 0 -1.5] 90}, + base=-5 5 -2 2,planmarks,showBase] +\end{pspicture} +\end{center} +\subsection{Autres exemples} +\begin{enumerate} +\item Vous trouverez une version codée de ce document en \Cadre{jps} dans la commande \Cadre{\textbackslash codejps} dans le document suivant : + +\centerline{\url{http://melusine.eu.org/syracuse/mluque/solides3d2007/sections}} +\item Une étude des sections coniques sur : + +\centerline{\url{http://melusine.eu.org/syracuse/mluque/solides3d2007/sections/sections-cone}} +\item Une étude des sections cylindriques sur : + +\centerline{\url{http://melusine.eu.org/syracuse/mluque/solides3d2007/sections/section-cylindre}} +\item Une étude sur les sections du tore : + +\centerline{\url{http://melusine.eu.org/syracuse/mluque/solides3d2007/sections/section-tore}} +\end{enumerate} + + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-solidescreux.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-solidescreux.tex new file mode 100644 index 00000000000..3f713511b22 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-solidescreux.tex @@ -0,0 +1,163 @@ +\section {\' Evider un solide} + +Certains des solides prédéfinis ont un solide ``{\sl creux}'' qui lui +est naturellement associé (le cône, le tronc de cône, le cylindre, +le prisme et la calotte sphérique). Pour ceux là, une option +\Cadre{[hollow=$boolean$]} est prévue. Positionné à +\textsl{false}, on a le solide habituel; positionné à \textsl{true} on +a la version creuse. +\newpage +\subsubsection {Exemple 1 : cylindre et cylindre creux} +\begin{multicols}{2} +\psset{unit=0.5} +\psset{lightsrc=10 20 30,viewpoint=50 60 25 rtp2xyz,Decran=50} +\setlength{\columnseprule}{1pt} +\centerline{ +\begin{pspicture}(-2,-3)(6,6) +\psframe(-2,-3)(6,6) +\psSolid[object=cylindre,h=6,r=2, + fillcolor=yellow,incolor=red, + hollow, + ](0,4,0) +\end{pspicture}} +\columnbreak +\begin{gbar} +\begin{verbatim} + \psSolid[object=cylindre, + h=6,r=2, + fillcolor=yellow, + incolor=red, + hollow, + ](0,4,0) +\end{verbatim} +\end{gbar} +\end{multicols} +\begin{multicols}{2} +\psset{unit=0.5} +\psset{lightsrc=10 20 30,viewpoint=50 60 25 rtp2xyz,Decran=50} +\setlength{\columnseprule}{1pt} +\centerline{ +\begin{pspicture}(-2,-3)(6,6) +\psframe(-2,-3)(6,6) +\psSolid[object=cylindre,h=6,r=2, + fillcolor=yellow, + ](0,4,0) +\end{pspicture}} +\begin{gbar} +\begin{verbatim} + \psSolid[object=cylindre, + h=6,r=2, + fillcolor=yellow, + ](0,4,0) +\end{verbatim} +\end{gbar} +\end{multicols} + +\subsubsection {Exemple 2 : prisme et prisme creux} + +\begin{minipage}{6cm} +\psset{unit=0.5} +\psset{lightsrc=10 20 30,viewpoint=50 60 25 rtp2xyz,Decran=50} +\begin{pspicture}(-8,-4)(4,8) +\psframe(-9,-3.5)(8,6) +\defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{} +\defFunction{G}(t){t cos}{t sin}{} +\psSolid[object=grille,base=-6 6 -4 4,action=draw]% +\psSolid[object=prisme,h=8,fillcolor=yellow,RotX=90,%decal=0, + resolution=19, + base=0 180 {F} CourbeR2+ + 180 0 {G} CourbeR2+ + ](0,4,0) +\axesIIID(3,4,3)(8,6,7) +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{8cm} +\small +\begin{verbatim} +\defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{} +\defFunction{G}(t){t cos}{t sin}{} +\psSolid[ + object=grille,base=-6 6 -4 4,action=draw]% +\psSolid[ + object=prisme,h=8,fillcolor=yellow,RotX=90, + resolution=19, + base=0 180 {F} CourbeR2+ + 180 0 {G} CourbeR2+ + ](0,4,0) +\axesIIID(3,4,3)(8,6,7) +\end{verbatim} +\end{minipage} + +\begin{minipage}{6cm} +\psset{unit=0.5} +\psset{lightsrc=10 20 30,viewpoint=50 60 25 rtp2xyz,Decran=50} +\begin{pspicture}(-8,-4)(3,8) +\psframe(-9,-3.5)(8,6) +\defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{} +\defFunction{G}(t){t cos}{t sin}{} +\psSolid[object=grille,base=-6 6 -4 4,action=draw]% +\psSolid[object=prisme,h=8,fillcolor=yellow,RotX=90, + hollow,ngrid=4,incolor=red, + resolution=19, + base=0 180 {F} CourbeR2+ + 180 0 {G} CourbeR2+ + ](0,4,0) +\axesIIID(3,4,3)(8,6,7) +\end{pspicture} +\end{minipage} +\hfill +\begin{minipage}{8cm} +\small +\begin{verbatim} +\defFunction{F}(t){t cos 3 mul}{t sin 3 mul}{} +\defFunction{G}(t){t cos}{t sin}{} +\psSolid[ + object=grille,base=-6 6 -4 4,action=draw]% +\psSolid[ + object=prisme,h=8,fillcolor=yellow,RotX=90, + hollow,ngrid=4,incolor=red, + resolution=19, + base=0 180 {F} CourbeR2+ + 180 0 {G} CourbeR2+ + ](0,4,0) +\axesIIID(3,4,3)(8,6,7) +\end{verbatim} +\end{minipage} + +\subsubsection {Exemple 3 : calotte sphérique et calotte sphérique creuse} + +\begin{multicols}{2} +\psset{unit=0.5} +\psset{lightsrc=42 24 13,viewpoint=50 30 15 rtp2xyz,Decran=50} +\setlength{\columnseprule}{1pt} +\centerline{ +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psset{unit=0.92} +\psSolid[object=calottesphere,r=3,ngrid=16 18, + fillcolor=cyan!50,incolor=yellow,theta=45,phi=-30,hollow,RotY=-80]% +\axesIIID(0,3,3)(6,5,4) +\end{pspicture}} +\begin{verbatim} +\psSolid[object=calottesphere,r=3, + ngrid=16 18, + fillcolor=cyan!50,incolor=yellow, + theta=45,phi=-30,hollow,RotY=-60]% +\end{verbatim} +\columnbreak +\centerline{ +\begin{pspicture}(-5,-3)(5,7) +\psframe(-5,-3)(5,7) +\psSolid[object=grille,base=-5 5 -5 5,action=draw]% +\psSolid[object=calottesphere,r=3,ngrid=16 18, + fillcolor=cyan!50,incolor=yellow,theta=45,phi=-30](0,0,1.5)% +\axesIIID(3,3,3.6)(6,6,5) +\end{pspicture}} +\begin{verbatim} +\psSolid[object=calottesphere,r=3, + ngrid=16 18,fillcolor=cyan!50, + incolor=yellow,theta=45,phi=-30] + (0,0,1.5) +\end{verbatim} +\end{multicols} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-solidespredefinis.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-solidespredefinis.tex new file mode 100644 index 00000000000..18ae342e8e4 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-solidespredefinis.tex @@ -0,0 +1,948 @@ +\section {Les principaux solides prédéfinis et leurs paramètres} + +La commande de base est~:~ +\Cadre{\textbackslash psSolid[object=\textsl{nom}]$(x, y ,z)$} qui permet +de tracer l'objet désigné par \textsl{nom} au point de coordonnées $(x, y, +z)$. + +Les objets disponibles sont~: +{\ttfamily%\flushleft \hyphenchar\font`\-% +cube, cylindre, cylindrecreux, cone, conecreux, tronccone,\\ +troncconecreux, sphere, calottesphere, tore, anneau, +tetrahedron, octahedron, dodecahedron,\\ +isocahedron, prisme, grille, parallelepiped, face, ruban, surface, +plan, geode,vecteur.} + +Le tableau ci-dessous donne un exemple de chacun des solides avec ses +paramètres propres~: + +\begin{center} +\psset{lightsrc=10 5 20,viewpoint=50 20 30 rtp2xyz} +\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}} + \hline +\toptableau +\\\hline + cube& \texttt{[a=4]} arête& + \begin{pspicture}(-2,-2)(2,2) +% \psframe(-2,-2)(2,2) + \psset{Decran=60} + \psSolid[ + object=cube,a=2,action=draw*,fillcolor=magenta!20]% + \axesIIID(1,1,1)(1.5,1.5,1.5) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=cube, + a=2, + action=draw*, + fillcolor=magenta!20] + \end{verbatim} + \end{minipage} +\\\hline + cylindre& + \begin{tabular}{c} + \texttt{[h=6,r=2]}\\ + hauteur et rayon\\ + le maillage :\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-2.5)(2,3) +% \psframe(-2,-2)(2,2) + \psset{Decran=30} +\psSolid[object=cylindre,h=5,r=2,fillcolor=white,ngrid=4 32](0,0,-3) + \axesIIID(2,2,2.5)(3,3,3.5) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=cylindre, + h=5,r=2, + fillcolor=white, + ngrid=4 32](0,0,-3) + \end{verbatim} + \end{minipage} +\\\hline + cylindre creux& + \begin{tabular}{c} + \texttt{[h=6,r=2]}\\ + hauteur et rayon\\ + le maillage :\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-2.5)(2,3) +% \psframe(-2,-2)(2,2) + \psset{Decran=30} +\psSolid[object=cylindrecreux,h=5,r=2,fillcolor=white,mode=4,incolor=green!50](0,0,-2.5) + \axesIIID(2,2,2.5)(3,3,4.5) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=cylindrecreux, + h=5,r=2, + fillcolor=white, + mode=4, + incolor=green!50] + (0,0,-3) + \end{verbatim} + \end{minipage} + \\\hline +\end{tabular} +\end{center} + +\begin{center} +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} +\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}} + \hline +\toptableau +\\\hline + cone& + \begin{tabular}{c} + \texttt{[h=6,r=2]}\\ + hauteur et rayon\\ + le maillage :\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-1)(2,4) +% \psframe(-2,-2)(2,2) + \psset{Decran=30} + \psSolid[object=cone,h=5,r=2,fillcolor=cyan,mode=4]% + \axesIIID(2,2,5)(2.5,2.5,6) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=cone, + h=5,r=2, + fillcolor=cyan, + mode=4]% + \end{verbatim} + \end{minipage} +\\\hline + cone creux& + \begin{tabular}{c} + \texttt{[h=6,r=2]}\\ + hauteur et rayon\\ + le maillage :\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-1)(2,4) +% \psframe(-2,-2)(2,2) + \psset{Decran=30} + \psSolid[object=conecreux,h=5,r=2,fillcolor=white,mode=4,RotY=-60,incolor=green!50]% + \axesIIID(2,2,5)(2.5,2.5,6) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=conecreux, + h=5,r=2, + RotY=-60, + fillcolor=white, + incolor=green!50, + mode=4]% + \end{verbatim} + \end{minipage} + \\\hline + tronc de cone& + \begin{tabular}{c} + \texttt{[h=6,r0=4,r1=1.5]}\\ + hauteur et rayons\\ + le maillage :\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-1)(2,4) +% \psframe(-2,-2)(2,2) + \psset{Decran=30} + \psSolid[object=tronccone,r0=2,r1=1.5,h=5,fillcolor=cyan,mode=4]% + \axesIIID(2,2,5)(2.5,2.5,6) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=tronccone, + r0=2,r1=1.5,h=5, + fillcolor=cyan, + mode=4]% + \end{verbatim} + \end{minipage} +\\\hline + \begin{tabular}{c} + tronc de \\ + cone creux + \end{tabular} + & + \begin{tabular}{c} + \texttt{[h=6,r0=4,r1=1.5]}\\ + hauteur et rayons\\ + le maillage :\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-1)(2,4) +% \psframe(-2,-2)(2,2) + \psset{Decran=30} + \psSolid[object=troncconecreux,r0=2,r1=1,h=5,fillcolor=white,mode=4]% + \axesIIID(2,2,5)(2.5,2.5,6) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=troncconecreux, + r0=2,r1=1,h=5, + fillcolor=white, + mode=4]% + \end{verbatim} + \end{minipage} +\\\hline +\end{tabular} +\end{center} + +%\newpage + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{center} +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} +%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{5cm}} +\begin{tabular}{ + >{\bfseries\sffamily\color{blue}} l + >{\centering} m{4cm} m{4cm} m{5cm}} + \hline +\toptableau +\\\hline + sphère & + \begin{tabular}{c} + \texttt{[r=2]} rayon\\ + le maillage :\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,3) +% \psframe(-2,-2)(2,2) + \psset{Decran=30} + \psSolid[object=sphere,r=3,fillcolor=red!25,ngrid=18 18,linewidth=0.2\pslinewidth]% + \axesIIID(3,3,3)(4,4,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=sphere, + r=2,fillcolor=red!25, + ngrid=18 18]% + \end{verbatim} + \end{minipage} +\\\hline + \begin{tabular}{c} + calotte \\ + sphérique + \end{tabular} & + \begin{tabular}{c} + \texttt{[r=2]} rayon\\ + \texttt{[phi=0,theta=90]} \\ + latitudes pour découper\\ + la calotte respectivement \\ + vers le bas et le haut \\ + \end{tabular} + & +\psset{unit=0.44} +\begin{pspicture}(-4,-5)(5,5.5) +\psset{lightsrc=42 24 13,viewpoint=50 30 15 rtp2xyz,Decran=50} +\psSolid[object=calottesphere,r=3,ngrid=16 18, + fillcolor=cyan!50,incolor=yellow,theta=45,phi=-30,hollow,RotY=-80]% +\axesIIID(0,3,3)(6,5,4) +\end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=calottesphere, + r=3,ngrid=16 18, + theta=45,phi=-30, + hollow,RotY=-80]% + \end{verbatim} + \end{minipage} +\\\hline + tore & + \begin{tabular}{c} + \texttt{[r0=4,r1=1.5]} \\ + rayon intérieur\\ + rayon moyen\\ + le maillage :\\ + \texttt{[ngrid=n1 n2]} + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,3) +% \psframe(-2,-2)(2,2) + \psset{Decran=30,unit=0.9} + \psSolid[r1=2.5,r0=1.5,object=tore,ngrid=18 36,fillcolor=green!30,action=draw**]% + \axesIIID(4,4,0)(5,5,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + r1=2.5,r0=1.5, + object=tore, + ngrid=18 36, + fillcolor=green!30, + action=draw*]% + \end{verbatim} + \end{minipage} +\\\hline + \begin{tabular}{c} + anneau \\ + cylindrique + \end{tabular} + & + \begin{tabular}{c} + \texttt{[r1=2.5,r0=1.5,} + \\ + \texttt{h=6,section=...]} + \\ + rayon extérieur + \\ + rayon intérieur + \\ + hauteur + \\ + section \\ + rectangulaire + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,3) +% \psframe(-2,-2)(2,2) + \psset{Decran=30} +\psSolid[object=anneau,fillcolor=yellow,h=1.5,r1=4,r0=3]% + \axesIIID(4,4,0)(5,5,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=anneau, + fillcolor=yellow, + h=1.5,r1=4,r0=3]% + \end{verbatim} + \end{minipage} +\\\hline +\end{tabular} +\end{center} +Une documentation spécifique aux anneaux circulaires et aux +parallélépipèdes est fournie dans la partie exemples : +\begin{itemize} + \item \texttt{doc-grille-parallelepiped.tex(.pdf)} ; + \item \texttt{doc-anneau.tex(.pdf).} +\end{itemize} + +%\clearpage + +\begin{center} +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} +%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}} +\begin{tabular}{ + >{\bfseries\sffamily\color{blue}} l + >{\centering} m{4cm} m{4cm} m{5cm}} + \hline +\toptableau +\\\hline + tétraèdre& + \begin{tabular}{c} + \texttt{[a=2]} rayon\\ + de la sphère\\ + circonscrite + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,2) +% \psframe(-2,-2)(2,2) + \psset{Decran=30} + \psSolid[object=tetrahedron,r=3,linecolor=blue,action=draw]% + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=tetrahedron, + r=3, + linecolor=blue, + action=draw]% + \end{verbatim} + \end{minipage} +\\\hline +octaèdre & + \begin{tabular}{c} + \texttt{[a=2]} rayon\\ + de la sphère\\ + circonscrite + \end{tabular} + & + \begin{pspicture}(-2,-1.85)(2,2.85) +% \psframe(-2,-2)(2,2) + \psset{Decran=30} + \psSolid[object=octahedron,a=3,linecolor=blue,fillcolor=Turquoise]% + \axesIIID(3,3,3)(4,4,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=octahedron, + a=3, + linecolor=blue, + fillcolor=Turquoise]% + \end{verbatim} + \end{minipage} +\\\hline + dodécaèdre & + \begin{tabular}{c} + \texttt{[a=2]} rayon\\ + de la sphère\\ + circonscrite + \end{tabular} + & + \begin{pspicture}(-2,-1.85)(2,1.85) +% \psframe(-2,-2)(2,2) + \psset{Decran=30} + \psSolid[object=dodecahedron,a=2.5,RotZ=90,action=draw*,fillcolor=OliveGreen]% + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[ + object=dodecahedron, + a=2.5,RotZ=90, + action=draw*, + fillcolor=OliveGreen]% + \end{verbatim} + \end{minipage} +\\ \hline +icosaèdre & + \begin{tabular}{c} + \texttt{[a=2]} rayon\\ + de la sphère\\ + circonscrite + \end{tabular} + & + \begin{pspicture}(-2,-1.85)(2,2.85) +% \psframe(-2,-2)(2,2) + \psset{Decran=30} + \psSolid[object=icosahedron,a=3,action=draw*,fillcolor=green!50]% + \axesIIID(3,3,3)(4,4,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=icosahedron, + a=3, + action=draw*, + fillcolor=green!50]% + \end{verbatim} + \end{minipage} +\\\hline + prisme + & + \begin{tabular}{c} + \texttt{[axe=0 0 1]} + \\ + direction de l'axe + \\ + \texttt{[base=}\\ + \texttt{-1 -1 1 -1 0 1]} + \\ + coordonnées\\ + des sommets\\ + de la base\\ + \texttt{[h=6]} hauteur + \end{tabular} + & + \begin{pspicture}(-2,-2)(2,3) +% \psframe(-2,-2)(2,2) + \psset{Decran=30,unit=0.9} +\psSolid[object=prisme,action=draw*,linecolor=red,h=4,fillcolor=gray!50]% +\psSolid[object=grille,base=-3 3 -3 3,action=draw]% + \axesIIID(3,3,4)(5,5,5) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=prisme, + action=draw*, + linecolor=red, + h=4]% + \end{verbatim} + \end{minipage} + \\\hline +\end{tabular} +\end{center} + +%\newpage +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{center} +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} +%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}} +\begin{tabular}{ + >{\bfseries\sffamily\color{blue}} l + >{\centering} m{4cm} m{4cm} m{5cm}} + \hline +\toptableau +\\\hline + grille + & + \begin{tabular}{c} + \texttt{[base=-X +X -Y +Y]} + \end{tabular} + & + \begin{pspicture}(-1.5,-2)(2,3) +% \psframe(-2,-2)(2,2) + \psset{Decran=30,unit=0.9} +\psSolid[object=grille,base=-5 5 -3 3]% + \axesIIID(5,3,0)(6,4,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=grille, + base=-5 5 -3 3]% + \end{verbatim} + \end{minipage} +\\\hline +% + parallélépipède + & + \begin{tabular}{c} + \texttt{[a=4,b=a,c=a]}\\ + centre en O + \end{tabular} + & + \begin{pspicture}(-1.5,-2)(2,3) + \psset{Decran=30} +\psSolid[object=parallelepiped,a=5,b=6,c=2,fillcolor=bleuciel](0,0,c 2 div) +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,2) +\psSolid[object=grille,base=-1 1 -3 3,RotY=90,action=draw](2.5,0,1) +\psSolid[object=grille,base=-2.5 2.5 -1 1,RotX=-90,action=draw](0,3,1) + \axesIIID(2.5,3,2)(3.5,4,4) + \end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=parallelepiped,% + a=5,b=6,c=2, + fillcolor=yellow]% + (0,0,c 2 div) + \end{verbatim} + \end{minipage} +\\\hline +% + face + & + \begin{tabular}{l} + \texttt{[base=x0 y0 x1 y1}\\ + \texttt{~ x2 y2 etc.]}\\ + les coordonnées \\ + des sommets\\ + dans le sens trigo + \end{tabular} + & +\psset{unit=0.4} +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture}(-4,-4)(5,4) +\psSolid[object=grille,base=-4 6 -4 4,action=draw,linecolor=gray](0,0,0) +\psSolid[object=face,fillcolor=yellow, + incolor=blue, + base=0 0 3 0 1.5 3 + ](0,1,0) +\psSolid[object=face,fillcolor=yellow, + incolor=blue, + base=0 0 3 0 1.5 3, + RotX=180](0,-1,0) +\axesIIID(0,0,0)(6,6,3) +\end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=face, + fillcolor=yellow, + incolor=blue, + base=0 0 3 0 1.5 3 + ](0,1,0) +\psSolid[ + object=face, + fillcolor=yellow, + incolor=blue, + base=0 0 3 0 1.5 3, + RotX=180](0,-1,0) + \end{verbatim} + \end{minipage} +\\\hline +% + ruban + & + \begin{tabular}{l} + \texttt{[base=x0 y0 x1 y1}\\ + \texttt{~ x2 y2 etc.]}\\ + \texttt{[h=hauteur]}\\ + \texttt{[ngrid=valeur]}\\ + nombre de mailles\\ + verticalement\\ + \texttt{[axe=0 0 1]}\\ + direction de l'inclinaison\\ + du ruban + \end{tabular} + & +\psset{lightsrc=10 0 10,viewpoint=50 -20 30 rtp2xyz,Decran=50,unit=0.5} +\begin{pspicture}(-2,-4)(5,7) +\psSolid[object=grille,base=-4 6 -2 4,action=draw,linecolor=gray](0,0,0) +\psSolid[object=ruban,h=3,fillcolor=red!50, + base=0 0 2 2 4 0 6 2, + num=0 1 2 3, + show=0 1 2 3, + ngrid=3]% +\axesIIID(0,2,0)(6,6,6) +\end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSolid[ + object=ruban,h=3, + fillcolor=red!50, + base=0 0 2 2 4 0 6 2, + num=0 1 2 3, + show=0 1 2 3, + ngrid=3]) + \end{verbatim} + \end{minipage} +\\\hline +\end{tabular} +\end{center} + +%\newpage + +%\begin{center} +%\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} +%%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}} +%\begin{tabular}{ +% >{\bfseries\sffamily\color{blue}} l +% >{\centering} m{4cm} m{4cm} m{5cm}} +% \hline +%\toptableau +%% chemin +%% & +%% \begin{tabular}{l} +%% dessine un chemin\\ +%% défini en postscript\\ +%% sur un plan +%% \end{tabular} +%% & +%% \psset{unit=0.4} +%% \begin{pspicture}(-2,-5)(6,8)% +%% \psframe*[linecolor=blue!50](-6,-5)(6,7) +%% \psset{lightsrc=50 20 20,viewpoint=50 30 15,Decran=60} +%% \psProjection[object=chemin,fillstyle=solid,fillcolor=white, +%% linewidth=.05,linecolor=red, +%% normal=1 1 2 180, +%% path=newpath +%% -4 -4 smoveto +%% -4 4 slineto +%% 4 4 slineto +%% 4 -4 slineto +%% closepath +%% ](1,1,2) +%% \psProjection[object=chemin, +%% linewidth=.02, +%% normal=1 1 2 180, +%% path=newpath +%% -4 1 4 +%% {-4 exch smoveto +%% 8 0 srlineto} for +%% -4 1 4 +%% {-4 smoveto +%% 0 8 srlineto} for +%% ](1,1,2) +%% \psProjection[object=chemin,fillstyle=hlines,hatchcolor=yellow, +%% linecolor=red, +%% normal=1 1 2 180, +%% path=newpath +%% 2 0 moveto +%% 0 2 360 { +%% /x exch def +%% x cos 2 mul +%% x sin 2 mul +%% slineto +%% } for +%% ](1,1,2) +%% \psPoint(0,0,0){O} +%% \psPoint(1,1,2){O1}\psPoint(1.4,1.4,2.8){K} +%% \psline[linewidth=.1,linecolor=red](O1)(K) +%% \psline[linestyle=dashed](O)(O1) +%% \psProjection[object=chemin, +%% linewidth=.1, +%% linecolor=green, +%% normal=1 1 2 180, +%% path= +%% newpath +%% 0 0 smoveto +%% 1 0 slineto](1,1,2) +%% \psProjection[object=chemin, +%% linewidth=.1, +%% linecolor=blue, +%% normal=1 1 2 180, +%% path= +%% newpath +%% 0 0 smoveto +%% 0 1 slineto](1,1,2) +%% \axesIIID(4,4,2)(5,5,6) +%% \end{pspicture} +%% & +%% \begin{minipage}{6cm} +%% \begin{verbatim} +%% \psProjection[object=chemin, +%% fillstyle=hlines, +%% hatchcolor=yellow, +%% linecolor=red, +%% normal=1 1 2 180, +%% path=newpath +%% 2 0 smoveto +%% 0 2 360 { +%% /x exch def +%% x cos 2 mul +%% x sin 2 mul +%% slineto +%% } for +%% ](1,1,2) +%% \end{verbatim} +%% \end{minipage} +%\end{tabular} +%\end{center} + +%\newpage +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{center} +\psset{lightsrc=10 20 30,viewpoint=50 20 30 rtp2xyz} +%\begin{tabular}{>{\bfseries\sffamily\color{blue}}lcm{4cm}m{6cm}} +\begin{tabular}{ + >{\bfseries\sffamily\color{blue}} l + >{\centering} m{4cm} m{4cm} m{5cm}} + \hline +\toptableau +\\\hline + surface + & + \begin{tabular}{l} + voir la \\ + documentation\\ + spécifique + \end{tabular} + & +\psset{unit=0.4} +\psset{lightsrc=30 30 25} +\psset{viewpoint=50 40 30 rtp2xyz,Decran=50} +\begin{pspicture}(-4,-8)(6,8) +\psSurface[ngrid=.25 .25,incolor=white,axesboxed](-4,-4)(4,4){% + x dup mul y dup mul 3 mul sub x mul 32 div} +\end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} +\psSurface[ngrid=.25 .25, + incolor=Wwhite,axesboxed] + (-4,-4)(4,4){% + x dup mul y dup mul 3 mul + sub x mul 32 div} + \end{verbatim} + \end{minipage} +\\\hline +% + new + & + \begin{tabular}{l} + solide défini\\ + par les coordonnées \\ + des sommets\\ + et les faces + \end{tabular} + & +\psset{unit=0.4} +\psset{viewpoint=50 -20 30 rtp2xyz,Decran=50} +\begin{pspicture}(-5,-4)(5,9) +%\psframe(-7,-4)(7,9) +\psSolid[object=new, + action=draw, + sommets= + 2 4 3 + -2 4 3 + -2 -4 3 + 2 -4 3 + 2 4 0 + -2 4 0 + -2 -4 0 + 2 -4 0 + 0 4 5 + 0 -4 5, + faces={ + [0 1 2 3] + [7 6 5 4] + [0 3 7 4] + [3 9 2] + [1 8 0] + [8 9 3 0] + [9 8 1 2] + [6 7 3 2] + [2 1 5 6]}, + num=all, + show=all]% +\axesIIID(0,0,0)(5,5,7) +\end{pspicture} + & + \begin{minipage}{5cm} + \begin{verbatim} + \psSolid[object=new, + action=draw, + sommets= + 2 4 3 + -2 4 3 + -2 -4 3 + 2 -4 3 + 2 4 0 + -2 4 0 + -2 -4 0 + 2 -4 0 + 0 4 5 + 0 -4 5, + faces={ + [0 1 2 3] + [7 6 5 4] + [0 3 7 4] + [3 9 2] + [1 8 0] + [8 9 3 0] + [9 8 1 2] + [6 7 3 2] + [2 1 5 6]}]% + \end{verbatim} + \end{minipage} +\\\hline +% + courbe + & + \begin{tabular}{l} + tracé d'une fonction\\ + R --> R\textsuperscript{3}\\ + définie par ses\\ + équations paramétriques\\ + \end{tabular} + & +\psset{unit=0.35} +\psset{lightsrc=10 -20 50,viewpoint=50 -20 20 rtp2xyz,Decran=50} +\begin{pspicture}(-6,-3)(5,8) +\psframe*[linecolor=blue!50](-6,-3)(6,8) +\psSolid[object=grille,base=-4 4 -4 4,linecolor=red,linewidth=0.5\pslinewidth]% +\axesIIID(0,0,0)(4,4,7) +\defFunction[algebraic]{helice}(t){3*cos(4*t)}{3*sin(4*t)}{t} +\psSolid[object=courbe,r=0, + range=0 6, + linecolor=blue,linewidth=0.1, + resolution=360, + function=helice]% +\end{pspicture} + & + \begin{minipage}{5cm} + \footnotesize + \begin{verbatim} +\defFunction[algebraic]% + {helice}(t) + {3*cos(4*t)}{3*sin(4*t)}{t} +\psSolid[object=courbe,r=0, + range=0 6, + linecolor=blue,linewidth=0.1, + resolution=360, + function=helice]% + \end{verbatim} + \end{minipage} +\\\hline +%% courbeR2 +%% & +%% \begin{tabular}{l} +%% tracé d'une fonction\\ +%% R --> R\textsuperscript{2}\\ +%% définie par ses\\ +%% équations paramétriques\\ +%% \end{tabular} +%% & +%% \psset{unit=0.4} +%% \begin{pspicture}(-6,-7)(6,6) +%% \psframe*[linecolor=yellow!50](-6,-6)(6,6) +%% \psset{viewpoint=50 -20 30 rtp2xyz,Decran=50} +%% {\psset{linewidth=0.5\pslinewidth,linecolor=gray} +%% \psSolid[object=grille,base=-4 4 -4 0,RotX=90,RotZ=90]% +%% \psSolid[object=grille,base=-4 4 -4 4]% +%% \psSolid[object=grille,base=-4 4 0 4,RotX=90,RotZ=90]} +%% \defFunction{parabole}(t){t}{t dup mul}{} +%% \defFunction{droite}(t){t}{t 2 add }{} +%% \axesIIID(0,0,0)(4,4,4) +%% \psProjection[object=chemin, +%% linewidth=.1, +%% linecolor=blue, +%% normal=0 1 0 1 0 0, +%% path= +%% newpath +%% 0 0 moveto +%% 1 0 lineto] +%% \psProjection[object=chemin, +%% linewidth=.1, +%% linecolor=red, +%% normal=0 1 0 1 0 0, +%% path= +%% newpath +%% 0 0 moveto +%% 0 1 lineto] +%% \psProjection[object=courbeR2, +%% range=-1 2,fillstyle=vlines,hatchwidth=0.5\pslinewidth, +%% normal=0 1 0 1 0 0, +%% function=parabole] +%% \psProjection[object=courbeR2, +%% range=-2 2, +%% linecolor=green, +%% normal=0 1 0 1 0 0, +%% function=parabole] +%% \psProjection[object=courbeR2, +%% range=-2 2 , +%% linecolor=red, +%% normal=0 1 0 1 0 0, +%% function=droite] +%% \psPoint(0,0,4.15){Z1} +%% \uput*[60](Z1){$z=y^2$} +%% \rput(0,-6.5){\psframebox[linecolor=yellow!50]{\texttt{$\backslash${}defFunction\{parabole\}(t)\{t\}\{t dup mul\}\{\}}}} +%% \end{pspicture} +%% & +%% \begin{minipage}{6cm} +%% \footnotesize +%% \begin{verbatim} +%% \psProjection[object=courbeR2, +%% range=-2 2, +%% linecolor=green, +%% normal=0 1 0 1 0 0, +%% function=parabole] +%% \end{verbatim} +%% \end{minipage} +%% \\\hline +\end{tabular} +\end{center} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-surfaces.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-surfaces.tex new file mode 100644 index 00000000000..6965749e9c3 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-surfaces.tex @@ -0,0 +1,218 @@ +\section{Présentation} + +Cette commande prend la forme suivante : +\begin{verbatim} +\psSurface[options](xmin,ymin)(xmax,ymax){equation de la surface z=f(x,y)} +\end{verbatim} +avec comme options possibles les mêmes que dans le cas des solides +avec quelques options spécifiques : +\begin{itemize} + \item Le maillage de la surface est défini par le paramètre + \verb+[ngrid=n1 n2]+, qui possède quelques particularités : + +\psframebox[fillstyle=solid,fillcolor=yellow,linestyle=none]{% +\begin{minipage}{1\linewidth} + \begin{itemize} + \item Si \texttt{n1} et/ou \texttt{n2 } sont entiers, ce(s) + nombre(s) représente(nt) le nombre de mailles suivant $Ox$ et/ou + $Oy$. + \item Si \texttt{n1} et/ou \texttt{n2 } sont décimaux, ce(s) + nombre(s) représente(nt) le pas d'incrémentation suivant $Ox$ + et/ou $Oy$. + \item Si \texttt{[ngrid=n]} ne possède qu'un seul paramètre, alors + le nombre de mailles ou, suivant le cas, le pas d'incrémentation + sera identique sur les deux axes. + \end{itemize} +\end{minipage} + } + \item \textbf{\textdbend{} \texttt{[algebraic]} : cette option + permet d'écrire la fonction en notation algébrique, \texttt{pstricks.pro} contient maintenant le code \texttt{AlgToPs} + de Dominique Rodriguez qui le permet et qui auparavant était inclus dans \texttt{pstricks-add.pro}. Cette version de \texttt{pstricks} + est fournie avec \texttt{pst-solides3d}. Le cas échéant, il faudra inclure le package \texttt{pstricks-add} dans le préambule de votre document.} + \item \texttt{[grid]} : par défaut le maillage est activé, si + l'option \texttt{[grid]} est écrite, alors le maillage est désactivé~! + \item \texttt{[axesboxed]} : cette option permet de tracer un + quadrillage 3D de façon semi-automatique, car il convient de placer + à la main les bornes de $z$, par défaut cette option est désactivée : + \begin{itemize} + \item \texttt{[Zmin]} ; + \item \texttt{[Zmax]} ; + \item \texttt{[QZ]} : permet de décaler verticalement le repère + de la valeur \texttt{[QZ=valeur]} ; + \item \texttt{[spotX]} : permet de placer, si le choix fait par + défaut n'est pas satisfaisant, les valeurs des graduations sur l'axe + des $x$ autour de l'extrémité de la graduation. + Cette valeur est celle que l'on indique à la commande \verb+\uput[angle](x,y){donnée}+ ; + \item \texttt{[spotY]} : idem ; + \item \texttt{[spotZ]} : idem. + \end{itemize} +\end{itemize} +Si l'option \Cadre{[axesboxed]} ne vous donne pas satisfaction il est +possible d'adapter la commande suivante, qui convient au premier +exemple : +\begin{gbar} +\small +\begin{verbatim} +\psSolid[object=parallelepiped,a=8,b=8,c=8,action=draw](0,0,0) +\multido{\ix=-4+1}{9}{% + \psPoint(\ix\space,4,-4){X1} + \psPoint(\ix\space,4.2,-4){X2} + \psline(X1)(X2)\uput[dr](X1){\ix}} +\multido{\iy=-4+1}{9}{% + \psPoint(4,\iy\space,-4){Y1} + \psPoint(4.2,\iy\space,-4){Y2} + \psline(Y1)(Y2)\uput[dl](Y1){\iy}} +\multido{\iz=-4+1}{9}{% + \psPoint(4,-4,\iz\space){Z1} + \psPoint(4,-4.2,\iz\space){Z2} + \psline(Z1)(Z2)\uput[l](Z1){\iz}} +\end{verbatim} +\end{gbar} +%L'option \Cadre{[hue=0 1]} permet de remplir les facettes avec des dégradés +%de couleur. +\section{Exemple 1 : selle de cheval} +\begin{LTXexample}[pos=t,numbersep=1em] +\psset{unit=0.75} +\psset{viewpoint=50 40 30 rtp2xyz,Decran=50} +\psset{lightsrc=viewpoint} +\begin{pspicture}(-6,-7)(7,7) +\psSurface[ngrid=.25 .25,incolor=yellow, + linewidth=0.5\pslinewidth,axesboxed, + algebraic,hue=0 1](-4,-4)(4,4){% + ((y^2)-(x^2))/4 } +\end{pspicture} +\end{LTXexample} +%\newpage +\section{Exemple 2 : selle de cheval sans maillage} + +Les lignes du maillage sont supprimées en écrivant dans les options : +\verb+grid+. +\begin{LTXexample}[pos=t,numbersep=1em] +\psset{unit=0.75} +\psset{lightsrc=30 30 25} +\psset{viewpoint=50 40 30 rtp2xyz,Decran=50} +\begin{pspicture}(-6,-8)(7,8) +\psSurface[fillcolor=red!50,ngrid=.25 .25, + incolor=yellow,linewidth=0.5\pslinewidth, + grid,axesboxed](-4,-4)(4,4){% + y dup mul x dup mul sub 4 div } +\end{pspicture} +\end{LTXexample} + +%\newpage + +\section{Exemple 3 : paraboloïde} + +\begin{LTXexample}[pos=t,numbersep=1em] +\psset{unit=0.75} +\psset{lightsrc=30 -10 10,linewidth=0.5\pslinewidth} +\psset{viewpoint=50 40 30 rtp2xyz,Decran=50} +\begin{pspicture}(-6,-4)(7,12) +\psSolid[object=grille,base=-4 4 -4 4,action=draw]% +\psSurface[ + fillcolor=cyan!50, + intersectionplan={[0 0 1 -5]}, + intersectioncolor=(bleu), + intersectionlinewidth=3, + intersectiontype=0, + ngrid=.25 .25,incolor=yellow, + axesboxed,Zmin=0,Zmax=8,QZ=4](-4,-4)(4,4){% + y dup mul x dup mul add 4 div } +\end{pspicture} +\end{LTXexample} + +%\newpage + +\section{Exemple 4} +\begin{LTXexample}[pos=t,numbersep=1em] +\psset{unit=0.75} +\psset{lightsrc=30 -10 10} +\psset{viewpoint=50 20 30 rtp2xyz,Decran=70} +\begin{pspicture}(-7,-8)(7,8) +\psSurface[ngrid=.2 .2,algebraic,axesboxed,Zmin=-1,Zmax=1, + linewidth=0.5\pslinewidth,spotX=r,spotY=d,spotZ=l, + hue=0 1](-5,-5)(5,5){% + sin((x^2+y^2)/3) } +\end{pspicture} +\end{LTXexample} + +%\newpage + +\section{Exemple 5} +Dans cet exemple, on montre comment colorier les facettes chacune avec +une teinte différente en utilisant directement le code +\texttt{postscript}. +\begin{LTXexample}[pos=t,numbersep=1em] +\psset{unit=0.5} +\psset{lightsrc=30 -10 10} +\psset{viewpoint=100 20 20 rtp2xyz,Decran=80} +\begin{pspicture}(-6,-12)(7,14) +\psSurface[ngrid=0.4 0.4,algebraic,axesboxed,Zmin=-2,Zmax=10,QZ=4, + linewidth=0.25\pslinewidth, + fcol=0 1 4225 + {/iF ED iF [iF 4225 div 0.75 1] (sethsbcolor) astr2str} for + ](-13,-13)(13,13){% + 10*sin(sqrt((x^2+y^2)))/(sqrt(x^2+y^2)) } +\end{pspicture} +\end{LTXexample} + +%\newpage + +\section{Exemple 6 : paraboloïde hyperbolique d'équation $z = xy$} + +Dans cet exemple, on combine le tracé de la surface et celui des +contours de l'intersection du paraboloïde avec les plans $z=4$ et +$z=-4$. +Pour cela on utilise \verb+\psSolid[object=courbe]+. +\begin{verbatim} +\defFunction{F}(t){t}{4 t div 4 min}{4} +\psSolid[object=courbe,range=1 4, + linecolor=red,linewidth=2\pslinewidth, + function=F] +\end{verbatim} +On notera l'utilisation de deux fonctions \texttt{min} et +\texttt{max}, qui permettent à partir d'un couple de valeurs, +d'extraire la plus petite ou la plus grande. +\begin{center} +\psset{unit=0.75} +\psset{viewpoint=50 20 30 rtp2xyz,Decran=50} +\psset{lightsrc=viewpoint,linewidth=0.5\pslinewidth} +\begin{pspicture}(-6,-7)(7,7) +\psSolid[object=datfile,file=paraboloid,hue=0 1 0.5 1,incolor=yellow] +\gridIIID[Zmin=-4,Zmax=4,spotX=r](-4,4)(-4,4) +\defFunction{F}(t){t}{4 t div 4 min}{4} +\psSolid[object=courbe,range=1 4,r=0, + linecolor=red,linewidth=2\pslinewidth, + function=F] +\defFunction{G}(t){t}{4 t div -4 max}{4} +\psSolid[object=courbe,range=-1 -4,r=0, + linecolor=red,linewidth=2\pslinewidth, + function=G] +\defFunction{H}(t){t neg}{4 t div -4 max}{-4} +\psSolid[object=courbe,range=-1 -4,r=0, + linecolor=red,linewidth=2\pslinewidth, + function=H] +\end{pspicture} +\end{center} +\begin{gbar} + \begin{verbatim} +\psSurface[hue=0 1,ngrid=.2 .5,incolor=yellow,axesboxed, + Zmin=-4,Zmax=4,spotX=r](-4,-4)(4,4){x y mul 4 min -4 max} +\end{verbatim} +\end{gbar} +%\newpage + +\section{Exemple 8 : surface d'équation $z = xy(x^2+y^2)$} + +\begin{LTXexample}[pos=t,numbersep=1em] +\psset{unit=0.5} +\psset{lightsrc=10 12 20,linewidth=0.5\pslinewidth} +\psset{viewpoint=30 50 60 rtp2xyz,Decran=50} +\begin{pspicture}(-10,-10)(10,10) +\psSurface[ + fillcolor=cyan!50,algebraic,axesboxed, + ngrid=.25 .25,incolor=yellow,hue=0 1, + Zmin=-3,Zmax=3](-3,-3)(3,3){% + x*y*(x^2-y^2)*0.1} +\end{pspicture} +\end{LTXexample} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-surfacesparametrees.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-surfacesparametrees.tex new file mode 100644 index 00000000000..a76628f3277 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-surfacesparametrees.tex @@ -0,0 +1,169 @@ +\section{Les surfaces paramétrées} +\subsection{Méthode} +Les surfaces paramétrées écrites sous la forme $[x(u,v),y(u,v),z(u,v)]$ +seront gérées grâce à la commande \verb+\psSolid+ par l'option +\Cadre{object=surfaceparametree} et définies soit en \textit{notation +polonaise inverse} (\texttt{RPN}, \textit{Reverse Polish Notation})~: + +{\red +\begin{verbatim} +\defFunction{shell}(u,v){1.2 v exp u Sin dup mul v Cos mul mul}% x(u,v) + {1.2 v exp u Sin dup mul v Sin mul mul}% y(u,v) + {1.2 v exp u Sin u Cos mul mul} %z(u,v) +\end{verbatim} +} +soit en \textit{notation algébrique} : +{\red +\begin{verbatim} +\defFunction[algebraic]{shell}(u,v){1.2^v*(sin(u)^2*cos(v))}% x(u,v) + {1.2^v*(sin(u)^2*sin(v))}% y(u,v) + {1.2^v*(sin(u)*cos(u))} %z(u,v) +\end{verbatim} +} +Les plages de valeurs pour $u$ et $v$ sont définies dans l'option +\Cadre{range=$\mathtt{u_{min}}$ $\mathtt{u_{max}}$ $\mathtt{v_{min}}$ +$\mathtt{v_{max}}$}. %$ + +Le tracé de la fonction est activé par +\Cadre{function=nom\_de\_la\_fonction}, ce nom a été précisé lorsque les +équations paramétriques ont été écrites : +\verb+\defFunction{nom_de_la_fonction}...+ + +Tout autre choix que $u$ et $v$ est acceptable. Rappelons que l'argument de +\Cadre{Sin} et \Cadre{Cos} doit être en radians et celui de \Cadre{sin} et +\Cadre{cos} en degrés si vous utilisez la \textit{RPN}. En notation +algébrique, l'argument est en radians. + + +\subsection{Exemple 1 : dessin d'un coquillage} +\newcommand\quadrillage{% +\psset{linecolor={[cmyk]{1,0,1,0.5}}}\green +\multido{\ix=-4+1}{9}{% + \psPoint(\ix\space,4,-3){X1} + \psPoint(\ix\space,4 .2 add,-3){X2} + \psline(X1)(X2) + \uput[-120](X1){\small\ix}} +\multido{\iy=-4+1}{9}{% + \psPoint(-4,\iy\space,-3){Y1} + \psPoint(-4 .2 sub,\iy\space,-3){Y2} + \psline(Y1)(Y2) + \uput[0](Y1){\small\iy}} +\multido{\iz=-3+1}{7}{% + \psPoint(4,4,\iz\space){Z1} + \psPoint(4,4 .2 add,\iz\space){Z2} + \psline(Z1)(Z2) + \uput[l](Z1){\small\iz}} +\psPoint(0,4 0.5 add,-3){X0} +\uput[-120](X0){$x$} + \psPoint(-4 .5 sub,0,-3){Y0} +\uput[0](Y0){$y$}} +\begin{LTXexample}[width=7.8cm] +\psset{unit=0.75} +\begin{pspicture}(-5.5,-6)(4.5,4) +\psframe*(-5.5,-6)(4.5,4) +\psset[pst-solides3d]{viewpoint=20 120 30 rtp2xyz, + Decran=15,lightsrc=-10 15 10} +% Parametric Surfaces +\psSolid[object=grille,base=-4 4 -4 4, + action=draw*,linecolor={[cmyk]{1,0,1,0.5}}] + (0,0,-3) +\defFunction{shell}(u,v) + {1.2 v exp u Sin dup mul v Cos mul mul} + {1.2 v exp u Sin dup mul v Sin mul mul} + {1.2 v exp u Sin u Cos mul mul} +\psSolid[object=surfaceparametree, + linecolor={[cmyk]{1,0,1,0.5}}, + base=0 pi pi 4 div neg 5 pi mul 2 div, + fillcolor=yellow!50,incolor=green!50, + function=shell,linewidth=0.5\pslinewidth,ngrid=25]% +\psSolid[object=parallelepiped,a=8,b=8,c=6, + action=draw,linecolor={[cmyk]{1,0,1,0.5}}]% +\quadrillage +\end{pspicture} +\end{LTXexample} + +\begin{LTXexample}[width=7.8cm] +\psset{unit=0.75} +\begin{pspicture}(-5,-4)(5,6) +\psframe*(-5,-4)(5,6) +\psset[pst-solides3d]{viewpoint=20 20 -10 rtp2xyz, + Decran=15,lightsrc=5 10 2} +% Parametric Surfaces +\psSolid[object=grille,base=-4 4 -4 4, + action=draw*,linecolor=red](0,0,-3) +\defFunction[algebraic]{shell}(u,v) + {1.21^v*(sin(u)*cos(u))} + {1.21^v*(sin(u)^2*sin(v))} + {1.21^v*(sin(u)^2*cos(v))} +%% \defFunction{shell}(u,v) +%% {1.2 v exp u Sin u Cos mul mul} +%% {1.2 v exp u Sin dup mul v Sin mul mul} +%% {1.2 v exp u Sin dup mul v Cos mul mul} +\psSolid[object=surfaceparametree, + linecolor={[cmyk]{1,0,1,0.5}}, + base=0 pi pi 4 div neg 5 pi mul 2 div, + fillcolor=green!50,incolor=yellow!50, + function=shell,linewidth=0.5\pslinewidth, + ngrid=25]% +\white% +\gridIIID[Zmin=-3,Zmax=4,linecolor=white, + QZ=0.5](-4,4)(-4,4) +\end{pspicture} +\end{LTXexample} + + + +\subsection{Exemple 2 : une hélice tubulaire} +\begin{LTXexample}[width=5.5cm] +\psset{unit=0.75} +\begin{pspicture}(-3,-4)(3,6) +\psset[pst-solides3d]{viewpoint=20 10 2,Decran=20, + lightsrc=20 10 10} +% Parametric Surfaces +\defFunction{helix}(u,v) + {1 .4 v Cos mul sub u Cos mul 2 mul} + {1 .4 v Cos mul sub u Sin mul 2 mul} + {.4 v Sin mul u .3 mul add} +\psSolid[object=surfaceparametree,linewidth=0.5\pslinewidth, + base=-10 10 0 6.28,fillcolor=yellow!50,incolor=green!50, + function=helix, + ngrid=60 0.4]% +\gridIIID[Zmin=-3,Zmax=3](-2,2)(-2,2) +\end{pspicture} +\end{LTXexample} + + +\subsection{Exemple 3 : un cône} +\begin{LTXexample}[width=10cm] +\psset{unit=0.5} +\begin{pspicture}(-9,-7)(10,12) +\psframe*(-9,-7)(10,12) +\psset[pst-solides3d]{ + viewpoint=20 5 10, + Decran=50,lightsrc=20 10 5} +\psSolid[ + object=grille,base=-2 2 -2 2, + linecolor=white](0,0,-2) +% Parametric Surfaces +\defFunction{cone}(u,v) + {u v Cos mul}{u v Sin mul}{u} +\psSolid[object=surfaceparametree, + base=-2 2 0 2 pi mul, + fillcolor=yellow!50, + incolor=green!50,function=cone, + linewidth=0.5\pslinewidth, + ngrid=25 40]% +\psset{linecolor=white}\white +\gridIIID[Zmin=-2,Zmax=2] + (-2,2)(-2,2) +\end{pspicture} +\end{LTXexample} + + +\subsection{Un site} +Vous trouverez sur le site : + +\centerline{\url{http://k3dsurf.sourceforge.net/}} + +un excellent logiciel pour représenter les surfaces avec de nombreux +exemples de surfaces paramétrées et autres. diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-tracerpolygone.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-tracerpolygone.tex new file mode 100644 index 00000000000..adb785f5e43 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-tracerpolygone.tex @@ -0,0 +1,12 @@ +\section{Tracer un polygone} + +On utilise : \psframebox[fillstyle=solid,fillcolor=yellow,linecolor=yellow]{\texttt{$\backslash$psPolygonIIID[options](x0,y0,z0)(x1,y1,z1)\ldots(xn,yn,zn)}}, +avec les options suivantes possibles : +\begin{itemize} + \item \texttt{linecolor=couleur} ; + \item \texttt{doubleline=true} ; + \item \texttt{linearc=valeur} ; + \item \texttt{fillstyle=solid} ; + \item \texttt{fillstyle=vlines} ou \texttt{fillstyle=hlines} ou \texttt{fillstyle=crosshatch}. +\end{itemize} +\newpage diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-transform.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-transform.tex new file mode 100644 index 00000000000..6275861870c --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-transform.tex @@ -0,0 +1,153 @@ +\section{L'option \texttt{transform}} + +Avec l'option \Cadre{transform=\ldots}, c'est une formule de +transformation de \textbf{R}$^\textbf 3$ vers \textbf{R}$^\textbf 3$ +qui va être appliquée à chaque point du solide. +Dans ce premier exemple, l'objet qui subira la transformation est un +cube. Le cube de référence est en jaune, +le cube transformé en vert et le cube en fil de fer représente le cube +avant transformation. + +\subsection{Facteur d'échelle identique appliqué aux trois + coordonnées} + +Le facteur d'échelle est pris égal à $0.5$. On l'introduit soit en +définissant la variable `\texttt{/Facteur}' : +\begin{verbatim} +\pstVerb{/Facteur {.5 mulv3d} def}% +\end{verbatim} +puis en l'introduisant dans l'option `\texttt{transform}' : +\begin{gbar} +\begin{verbatim} +\psSolid[object=cube,a=2,ngrid=3, + transform=Facteur](2,0,1)% +\end{verbatim} +\end{gbar} +soit directement dans le code : +\begin{gbar} +\begin{verbatim} +\psSolid[object=cube,a=2,ngrid=3, + transform={.5 mulv3d}](2,0,1)% +\end{verbatim} +\end{gbar} + +\textbf{Remarque~:} On vient d'utiliser ici un raccourci jps pour +définir une fonction de de \textbf{R}$^\textbf 3$ vers +\textbf{R}$^\textbf 3$. Une autre méthode aurait été d'utiliser le +code +\begin{verbatim} +\defFunction[algebraic]{matransformation}(x,y,z) + {.5*x} + {.5*y} + {.5*z} +\end{verbatim} +puis de transmettre dans les options +\Cadre{[transform=matransformation]}. +\begin{LTXexample}[pos=t] +\psset{viewpoint=20 60 20 rtp2xyz,lightsrc=10 15 7,Decran=20} +\begin{pspicture}(-5,-5)(6,5) +\psframe(-5,-4)(6,5) +\psSolid[object=grille,base=-4 4 -4 4,fillcolor=red!50]% +\axesIIID(0,0,0)(4,4,4)% +\psSolid[object=cube,fillcolor=yellow!50, + a=2,ngrid=3](-2,0,1) +\psSolid[object=cube,fillcolor=green!50, + a=2,transform={.5 mulv3d}, + ngrid=3](2,0,1) +\psSolid[object=cube, + action=draw, + a=2,ngrid=3](2,0,1) +\end{pspicture} +\end{LTXexample} + +\Cadre{Le facteur d'échelle s'applique aussi aux coordonnées de la + position du centre du cube.} + +\subsection{Facteur d'échelle différent pour les trois coordonnées} + +Prenons, par exemple, que l'on applique un facteur de 0.75 pour $x$, 4 +pour $y$ et 0.5 pour $z$, on transforme ainsi un cube en un +parallélépipède en utilisant la fonction \textbf{scaleOpoint3d} de la +librairie jps. +\begin{LTXexample}[pos=t] +\psset{viewpoint=20 60 20 rtp2xyz,lightsrc=10 15 7,Decran=20} +\begin{pspicture}(-5,-5)(6,5) +\psframe(-5,-4)(6,5) +\psSolid[object=grille,base=-4 4 -4 4,fillcolor=red!50]% +\axesIIID(0,0,0)(4,4,4)% +\psSolid[object=cube, + a=2,ngrid=3](-2,0,1) +\psSolid[object=cube, + a=2,transform={.75 4 .5 scaleOpoint3d}, + ngrid=3](2,0,1) +\psSolid[object=cube, + action=draw, + a=2,ngrid=3](2,0,1) +\end{pspicture} +\end{LTXexample} + +\subsection{Transformation liée à la distance du point à l'origine} + +Un exemple que l'on va appliquer à un cube : + +\begin{equation*} +\left\lbrace\begin{aligned} +x'&=\big(0.5\sqrt{x^2+y^2+z^2}+1-0.5\sqrt{3}\big)x \\ +y'&=\big(0.5\sqrt{x^2+y^2+z^2}+1-0.5\sqrt{3}\big)y \\ +z'&=\big(0.5\sqrt{x^2+y^2+z^2}+1-0.5\sqrt{3}\big)z +\end{aligned}\right. +\end{equation*} + +\begin{LTXexample}[pos=t] +\begin{pspicture}(-3,-4)(3,3) +\psset{viewpoint=20 60 20 rtp2xyz,lightsrc=10 15 7,Decran=20} +\pstVerb{ +/gro { +4 dict begin + /M defpoint3d + /a .5 def + /b 1 a 3 sqrt mul sub def + /k M norme3d a mul b add def + M k mulv3d +end +} def}% +\psframe*(-3,-4)(3,3) +\psset{linewidth=.02,linecolor=gray} +\psSolid[object=cube,a=3,ngrid=9, + transform=gro]% +\end{pspicture} +\end{LTXexample} +%\newpage + +\subsection{Torsion d'une poutre} + +Le solide de départ est un prisme de hauteur 10 cm de 20 étages +(\texttt{ngrid=20 2}). À chaque étage, on applique une rotation +supplémentaire +d'axe $Oz$ et de valeur 10$^{\mathrm{o}}$ par exemple. Comme les +niveaux sont espacés de $0,5$~cm, on multiplie $z\times20$. + +\begin{LTXexample}[pos=t] +\psset{viewpoint=50 50 20 rtp2xyz,lightsrc=25 37 17,Decran=50,unit=0.75} +\begin{pspicture}(-3,-1)(3.5,10) +\psframe(-3,-1)(3,10) +\psSolid[object=grille,base=-2 2 -2 2,ngrid=8]% +\psSolid[object=prisme,h=10,ngrid=20 2, + base=0.5 0 0.5 0.5 0 0.5 -0.5 0.5 -0.5 0 -0.5 -0.5 0 -0.5 0.5 -0.5]% +\end{pspicture} +\begin{pspicture}(-3.5,-1)(3,10) +\psframe(-3,-1)(3,10) +\psSolid[object=grille,base=-2 2 -2 2,ngrid=8]% +\pstVerb{ +/torsion { +2 dict begin + /M defpoint3d % on récupère les coordonnées + M /z exch def pop pop + % on tourne de 10 degrés à chaque niveau + M 0 0 z 20 mul rotateOpoint3d +end} def}% +\psSolid[object=prisme,h=10,ngrid=20 2, + base=0.5 0 0.5 0.5 0 0.5 -0.5 0.5 -0.5 0 -0.5 -0.5 0 -0.5 0.5 -0.5, + transform=torsion]% +\end{pspicture} +\end{LTXexample} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-transformpointconnu.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-transformpointconnu.tex new file mode 100644 index 00000000000..1fdcdcbf250 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-transformpointconnu.tex @@ -0,0 +1,68 @@ +\section {Transformer un point et le mémoriser} + +Soit un point initial $A(x,y,z)$. On fait subir à ce point des +rotations autour des axes $Ox$, $Oy$ et $Oz$ d'angles respectifs : +\texttt{[RotX=valeurX,RotX=valeurY,RotX=valeurZ]}, dans cet ordre, +puis on opère une translation de vecteur $(v_x,v_y,v_z)$. Le problème +a été de récupérer les coordonnées du point final $A'(x',y',z')$. + +Le code + \psframebox[fillstyle=solid,fillcolor=yellow,linecolor=yellow]% + {\texttt{$\backslash$psTransformPoint[RotX=valeurX,RotX=valeurY, + RotX=valeurZ](x y z)(vx,vy,vz)\{A'\}}}\\ + permet de stocker dans le n\oe{}ud $A'$, les coordonnées du point + transformé. + +Dans l'exemple suivant $A(2,2,2)$ est l'un des sommets du cube +initial, dont le centre est placé à l'origine du repère. +{\red +\begin{verbatim} +\psSolid[object=cube,a=4,action=draw*,linecolor=red]% +\end{verbatim} +} +Ce cube subit différentes transformations : +{\red +\begin{verbatim} +\psSolid[object=cube,a=4,action=draw*,RotX=-30,RotY=60,RotZ=-60](7.5,11.25,10)% +\end{verbatim} +} +Pour obtenir l'image de $A$, on applique la commande suivante : +{\red +\begin{verbatim} +\psTransformPoint[RotX=-30,RotY=60,RotZ=-60](2 2 2)(7.5,11.25,10){A'} +\end{verbatim} +} +Ce qui permet, par exemple, de nommer ces points et de dessiner le vecteur +$\overrightarrow{AA'}$. +\begin{center} +\begin{pspicture}(-2,-4)(6,6) +\psframe(-2,-4)(6,6) +\psset{unit=0.5,viewpoint=40 20 40,Decran=40} +\psSolid[object=cube,a=4,action=draw*,linecolor=red]% +\psPoint(2,2,2){A}\psdot(A) +\psSolid[object=cube,a=4,action=draw*,RotX=-30,RotY=60,RotZ=-60](7.5,11.25,10)% +\psTransformPoint[RotX=-30,RotY=60,RotZ=-60](2 2 2)(7.5,11.25,10){A'} +\psdot(A')\psline[linecolor=blue,arrowsize=0.3]{{o-v}}(A)(A') +\uput[u](A'){$A'$}\uput[u](A){$A$} +\psset{solidmemory,action=none} +\psSolid[object=cube,a=4, + name=A1,](0,0,0) +\psSolid[object=plan,definition=solidface,args=A1 0,name=P0] +\psSolid[object=plan,definition=solidface,args=A1 1,name=P1] +\psSolid[object=plan,definition=solidface,args=A1 4,name=P4] +\psset{fontsize=100} +\psProjection[object=texte,linecolor=red,text=A,plan=P0]% +\psProjection[object=texte,linecolor=red,text=B,plan=P1]% +\psProjection[object=texte,linecolor=red,text=E,plan=P4]% +\psSolid[object=cube,a=4,RotX=-30,RotY=60,RotZ=-60, + name=A2,](7.5,11.25,10) +\psSolid[object=plan,definition=solidface,args=A2 0,name=P'0] +\psSolid[object=plan,definition=solidface,args=A2 1,name=P'1] +\psSolid[object=plan,definition=solidface,args=A2 2,name=P'2] +\psProjection[object=texte,text=A,plan=P'0]% +\psProjection[object=texte,text=B,plan=P'1]% +\psProjection[object=texte,text=C,plan=P'2]% +\axesIIID(2,2,2)(10,10,8) +\end{pspicture} +\end{center} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-tronque.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-tronque.tex new file mode 100644 index 00000000000..39a0acd2b40 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-tronque.tex @@ -0,0 +1,53 @@ +\section {Tronquer les sommets d'un solide} + +L'option \Cadre{[trunc]} permet de tronquer les sommets soit +globalement, soit individuellement. Cette option utilise l'argument +\Cadre{[trunccoeff]} (valeur $0,25$ par défaut) qui indique le rapport +$k$ utiliser pour la troncature ($0<k\leq 0,5$). +% +\begin{itemize} + \item \Cadre{[trunc=all]} tronque tous les sommets ; + \item \Cadre{[trunc=0 1 2 3]} tronque les sommets \texttt{[0,1,2 et 3]} ; +\end{itemize} +% +\begin{multicols}{2} +\psset{unit=0.5} +\setlength{\columnseprule}{1pt} +\centerline{ +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psset{Decran=20} +\psSolid[ + action=draw, + object=cube, + RotZ=30, + trunccoeff=.2,trunc=all, +]% +\end{pspicture}} +\begin{verbatim} +\psSolid[object=cube, + action=draw,RotZ=30, + trunccoeff=.2,trunc=all, +]% +\end{verbatim} +\columnbreak +\centerline{ +\begin{pspicture}(-5,-5)(5,5) +\psframe(-5,-5)(5,5) +\psset{Decran=20} +\psSolid[action=draw, + object=cube, + RotZ=30, + trunccoeff=.2, + trunc=0 1 2 3, +]% +\end{pspicture}} +\begin{verbatim} +\psSolid[object=cube, + RotZ=30,action=draw, + trunccoeff=.2, + trunc=0 1 2 3, +]% +\end{verbatim} +\end{multicols} +%\newpage diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-tube.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-tube.tex new file mode 100644 index 00000000000..e7a9560aa8f --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-tube.tex @@ -0,0 +1,330 @@ +\section{Tubes} + +Il s'agit de remplacer une courbe en deux ou trois dimensions (2D ou +3D) définie paramétriquement, par un tube dont la courbe initiale +constituera l'axe et dont on pourra choisir le rayon et le +quadrillage. On trouve des éléments mathématiques concernant ces +objets sur les deux sites suivants~: + +\centerline{\url{http://fr.wikipedia.org/wiki/Tube_(math\%C3\%A9matiques)}} + +\centerline{\url{http://www.mathcurve.com/surfaces/tube/tube.shtml}} + +Comme à l'habitude, le package \verb+pst-solides3d+ offre deux +possibilités pour dessiner les tubes : +\begin{itemize} + \item via \texttt{`PSTricks'} et l'argument \verb+object+ de + \verb+\psSolid+ + \item directement avec \verb+\codejps+ +\end{itemize} + +\encadre{Il est souvent préférable de calculer préalablement, à la main ou + bien avec un logiciel de calcul formel, la dérivée première + des fonctions paramétriques définissant les coordonnées.} + +En effet, si cette dérivée n'est pas explicitement définie par +l'utilisateur, le package fait des calculs approchés, mais le résultat +n'est pas toujours satisfaisant. + +\subsection{Utilisation avec PSTricks} + +\subsubsection{Donnez du relief à vos courbes} +<<\textit{Donnez du relief à vos courbes}>>, c'est l'intitulé de l'article de Robert F\textsc{erréol} sur : + +\centerline{\small\url{http://mapage.noos.fr/r.ferreol/atelecharger/textes/relief/courbes\%20en\%20relief.html}} + +à qui j'emprunte la courbe suivante qui est l'analogue d'une courbe de Lissajous enroulée autour d'un cylindre. +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-3.5,-4)(4,4) +\psset{lightsrc=80 30 30,viewpoint=100 45 30 rtp2xyz,Decran=110,linewidth=0.2pt} +\psframe(-3.5,-4)(4,4) +\defFunction[algebraic]{F}(t) + {2.5*cos(t)} + {2.5*sin(t)} + {2*cos(5*t)} +\defFunction[algebraic]{F'}(t) + {-2.5*sin(t)} + {2.5*cos(t)} + {-10*sin(5*t)} +\psSolid[object=courbe, + range=0 6.28, + hue=0 1 0.7 1, + ngrid=360 8, + function=F, + r=0.15] +\end{pspicture} +\end{LTXexample} + +On a utilisé l'argument \Cadre{[objet=courbe]} avec les paramètres +\Cadre{[r=]}, \Cadre{[function=]} et \Cadre{[range=]} pour spécifier +respectivement le rayon du tube, le nom de la fonction à utiliser et +l'intervalle de définition de la fonction. + +On peut également préciser le maillage avec l'argument optionnel +\Cadre{[ngrid=$n_1$ $n_2$]} où $n_2$ représente le nombre de sommets +sur une section du tube (si $n_2 = 6$, on a un tube à section +hexagonale) et $n_1$ représente le nombre de divisions sur la longueur. + + +\subsubsection{La courbe filaire s'obtient avec un rayon nul \texttt{[r=0]}} + +Et du coup, pas la peine de spécifier la fonction dérivée. + +\begin{LTXexample}[width=8cm] +\begin{pspicture}(-3.5,-4)(4,4) +\psset{lightsrc=80 30 30, + viewpoint=100 45 30 rtp2xyz,Decran=110} +\psframe(-3.5,-4)(4,4) +\defFunction[algebraic]{F}(t) + {2.5*cos(t)} + {2.5*sin(t)} + {2*cos(5*t)} +\psSolid[object=courbe, + range=0 6.28, + linewidth=2pt,linecolor=blue, + function=F, + r=0] +\end{pspicture} +\end{LTXexample} + +\subsection{Utilisation avec le \textbackslash{}codejps} + +La syntaxe est \Cadre{\textbackslash{}codejps\{t1 t2 (nom\_fonction) +rayon [n1 n2] newtube\}.} + + +\begin{LTXexample}[pos=t] +\begin{pspicture}(-3.5,-3.5)(4,3.5) +\psset{lightsrc=80 30 30,viewpoint=100 45 90 rtp2xyz,Decran=100,linewidth=0.2pt} +\psframe(-3.5,-3.5)(4,3.5) +\codejps{ +/rpn {tx@AlgToPs begin AlgToPs end cvx exec} def +/xc {((2+1*cos(2.75*t))*cos(t)) rpn } def +/yc {((2+1*cos(2.75*t))*sin(t)) rpn } def +/zc {(1*sin(2.75*t)) rpn } def +/xc' {(-2.75*sin(2.75*t)*cos(t)-(2+cos(2.75*t))*sin(t)) rpn } def +/yc' {(-2.75*sin(2.75*t)*sin(t)+(2+cos(2.75*t))*cos(t)) rpn } def +/zc' {(2.75*cos(2.75*t)) rpn } def +/g { +3 dict begin + /t exch def +xc yc zc +end } def +/g' { % dérivée première +3 dict begin + /t exch def +xc' yc' zc' +end } def +/solenoide{ +% t_min t_max rayon_tube [resolution] + 0 25.2 (g) 0.1 [360 8] newtube +dup [0 1] solidputhuecolors} def +solenoide +drawsolid** +}% +\end{pspicture} +\end{LTXexample} + +\subsection{Améliorer la rapidité d'affichage} + +La courbe étudiée appelée << \textit{horoptère} >> est issue de la page : + +\centerline{\url{http://www.mathcurve.com/courbes3d/horoptere/horoptere.shtml}} + +\subsubsection{L'obtention directe de la courbe} +Les lignes suivantes permettent de faire le calcul des points et le +tracé de la courbe. La résolution de la courbe étant élevée, le calcul +prend un temps que certains jugeront trop long. +\begin{verbatim} +\begin{pspicture}(-7,-2)(7,4) +\psset{lightsrc=80 30 30} +\psset{viewpoint=1000 60 20 rtp2xyz,Decran=1000} +\psframe(-7,-2)(7,4) +\psset{solidmemory} +\codejps{/a 2 def /b 2 def}% +\defFunction[algebraic]{F}(t) + {a*(1+cos(t))} + {b*tan(t/2)} + {a*sin(t)} +\defFunction[algebraic]{F'}(t) + {-a*sin(t)} + {b*(1+tan(1/2*t)^2)} + {a*cos(t)} +\psSolid[object=courbe, + range=-2.7468 2.7468, + ngrid=72 12, + function=F,hue=0 1 0.7 1, + action=none,name=H1, + r=1]% +\psSolid[object=cylindrecreux, + h=20,r=1,RotX=90, + incolor=green!30,action=none, + name=C1, + ngrid=36 36](2,10,0) +\psSolid[object=fusion, + base=H1 C1] +\composeSolid +\end{pspicture} +\end{verbatim} + +\subsubsection{La mise en mémoire des paramètres de la courbe} + +Si cete courbe doit être utilisée plusieurs fois il est alors +préférable d'enregistrer toutes les caractéristiques de cette courbe : +coordonnées de sommets, liste et couleurs des facettes en remplaçant +la dernière commande par : +\begin{verbatim} +\psSolid[object=fusion, + base=H1 C1, + file=horoptere, + action=writesolid] +\end{verbatim} +La séquence suivante \Cadre{LaTeX fichier.tex->dvips->GSview + (Windows)ou gv (Linux)} va créer 4 fichiers : +\begin{itemize} + \item \texttt{horoptere-couleurs.dat} -> les couleurs des faces ; + \item \texttt{horoptere-faces.dat} -> la liste des faces ; + \item \texttt{horoptere-sommets.dat} -> la liste des sommets ; + \item \texttt{horoptere-io.dat} -> le nombre de faces et de sommets. +\end{itemize} +\encadre{Par défaut, sous Windows et Linux, la protection des fichiers + du disque dur est activée et ne permet donc pas l'écriture sur le + disque. Pour désactiver cette protection, tout au moins + temporairement, voici les deux procédures correspondantes : +\begin{description} + \item[Linux : ] le conseil de Jean-Michel Sarlat : le plus +simple est donc d'utiliser ghostscript directement, en console. Comme +il n'y a rien à attendre comme image : + +\$> gs -dNOSAFER fichier.ps quit.ps + \item[Windows : ] dans le menu \textsf{Options}, l'option + \textsf{Protection des fichiers} ne doit pas être cochée. +\end{description}} +puis de les faire lire et exécuter avec la commande : +\Cadre{\textbackslash{}psSolid[object=datfile,file=horoptere]}, le +gain de temps est très appréciable ! +\begin{verbatim} +\begin{pspicture}(-7,-2)(7,4) +\psset{lightsrc=80 30 30} +\psset{viewpoint=1000 60 20 rtp2xyz,Decran=1000} +\psframe(-7,-2)(7,4) +\psset{solidmemory} +\codejps{/a 2 def /b 2 def}% +\defFunction[algebraic]{F}(t) + {a*(1+cos(t))} + {b*tan(t/2)} + {a*sin(t)} +\defFunction[algebraic]{F'}(t) + {-a*sin(t)} + {b*(1+tan(1/2*t)^2)} + {a*cos(t)} +\psSolid[object=courbe, + range=-2.7468 2.7468, + ngrid=72 16, + function=F,hue=0 1 0.7 1, + action=none,name=H1, + r=1]% +\psSolid[object=cylindrecreux, + h=18,r=1,RotX=90, + incolor=yellow!50,action=none, + name=C1, + ngrid=18 16](2,9,0) +\psSolid[object=fusion, + base=H1 C1, + file=horoptere, + action=writesolid] +\composeSolid +\end{pspicture} +\end{verbatim} + + + +\subsubsection{Le tracé de la courbe} + +\begin{LTXexample}[width=9cm] +\begin{pspicture}(-5,-3.5)(4,3) +\psset{lightsrc=80 30 30} +\psset{viewpoint=100 60 20 rtp2xyz, + Decran=75} +\psframe*[linecolor=cyan!30](-4.5,-3)(3.5,3) +\psSolid[object=datfile,file=horoptere] +\end{pspicture} +\end{LTXexample} + + +\newpage +\subsection{Autres exemples} + + +\subsubsection{Une droite} + +\begin{LTXexample}[width=7cm] +\begin{pspicture}(-3.5,-2)(3.5,2) +\psset{viewpoint=100 -20 20 rtp2xyz, + Decran=75,unit=0.8} +\psframe(-3.5,-2)(3.5,2) +\psSolid[object=grille,base=-4 4 -4 4]% +\defFunction[algebraic]{F}(t){t}{t}{0.5} +\defFunction[algebraic]{F'}(t){1}{1}{0} +\psSolid[object=courbe, + range=-4 4, ngrid=16 16, + function=F, r=0.5] +\end{pspicture} +\end{LTXexample} + + + +\subsubsection{Hypocycloïde} + +\begin{LTXexample}[width=7cm] +\begin{pspicture}(-3.5,-3)(3.5,3) +\psset{viewpoint=100 20 45 rtp2xyz, + Decran=75,unit=0.8} +\psSolid[object=grille,base=-5 5 -5 5]% +\defFunction[algebraic]{F}(t) + {4*cos(t) + cos(4*t)/2} + {4*sin(t) - sin(4*t)/2} + {1} +\defFunction[algebraic]{F'}(t) + {-4*sin(t)-2*sin(4*t)} + {4*cos(t)-2*cos(4*t)} + {0} +\psSolid[object=courbe, + range=0 6.28, ngrid=90 16, + function=F, r=1] +\end{pspicture} +\end{LTXexample} + + + +\subsubsection{Siège ressort de Gaston} +\begin{LTXexample}[width=7cm] +\begin{pspicture}(-3.5,-4)(3.5,4.5) +\psset{lightsrc=80 30 30} +\psset{viewpoint=100 20 20 rtp2xyz,Decran=50} +\psframe(-3.5,-4)(3.5,4.5) +\uput[u](0,3){\includegraphics[scale=0.25]{gaston.eps}} +\defFunction[algebraic]{F}(t) + {(t^2+3)*sin(15*t)} + {(t^2+3)*cos(15*t)} + {2*t} +\defFunction[algebraic]{F'}(t) + {2*t*sin(15*t)+15*(t^2+3)*cos(15*t)} + {2*t*cos(15*t)-15*(t^2+3)*sin(15*t)} + {2} +\psSolid[object=courbe, + range=-2 2, + ngrid=360 6, + function=F, + hue=0.2 0.3, + linewidth=0.1pt, + r=0.2] +\end{pspicture} +\end{LTXexample} + +%%\end{document} + + + + + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-vecteur.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-vecteur.tex new file mode 100644 index 00000000000..eb45d5d8696 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/par-vecteur.tex @@ -0,0 +1,107 @@ +\section {Vecteurs} + +\subsection {Définition à partir des coordonnées} + +L'objet \Cadre{vecteur} permet de définir un vecteur. Sous sa forme la +plus simple, on utilise l'argument \Cadre{[args=$x$ $y$ $z$]} pour +en spécifier les coordonnées. + +\begin{multicols}{2} + +\psset{lightsrc=10 -20 50,viewpoint=50 -20 30 rtp2xyz,Decran=100} +\begin{pspicture*}(-1,-1)(1,2) +\psframe(-1,-1)(1,2) +\psSolid[object=vecteur, +action=draw*, + args=0 0 1, + linecolor=yellow]% +\psSolid[object=vecteur, + args=1 0 0, + linecolor=red] +\psSolid[object=vecteur, + args=0 0 1, + linecolor=blue](1,0,0) +\end{pspicture*} + +\columnbreak + +\begin{verbatim} +\psSolid[object=vecteur, + args=0 0 1, + linecolor=yellow]% +\psSolid[object=vecteur, + args=1 0 0, + linecolor=red] +\psSolid[object=vecteur, + args=0 0 1, + linecolor=blue](1,0,0) +\end{verbatim} +\end{multicols} + +\subsection {Définition à partir de 2 points} + +On peut également définir un vecteur par la donnée de 2 points $A$ et +$B$ de $R^3$. On utilise alors les arguments +\Cadre{[definition=vecteur3d]} et \Cadre{[args=$x_A$ $y_A$ $z_A$ $x_B$ +$y_B$ $z_B$]} où $(x_A, y_A, z_A)$ et $(x_B, y_B, z_B)$ sont les +coordonnées respectives des points $A$ et $B$ + +Si les points $A$ et $B$ ont été préalablement définis, alors on peut +utiliser des variables nommées~: +\Cadre{[args=$A$ $B$]}. + +\begin{multicols}{2} + +\psset{lightsrc=10 -20 50,viewpoint=10 -10 10,Decran=20} +\begin{pspicture*}(-3,-3)(4.5,2) +\psframe(-3,-3)(4.5,2) +\psSolid[object=plan, + linecolor=gray, + definition=equation, + args={[0 0 1 0]}, + base=-1 3 -2 2, + planmarks, + plangrid, +] +\psSolid[object=vecteur, + definition=vecteur3d, + args=0 0 1 1 1 1]% +\end{pspicture*} + +\columnbreak + +\begin{verbatim} +\psSolid[object=vecteur, + definition=vecteur3d, + args=0 0 1 1 1 1]% +\end{verbatim} +\end{multicols} + +\subsection {Autres modes de définition} + +Il existe d'autres possibilités pour définir un vecteur. Voici une +liste des définitions possibles avec les arguments correspondant~: + +\begin{itemize} + +\item \Cadre {[definition=addv3d]} ; +\verb+args=+ $\vec u$ $\vec v$. +addition de 2 vecteurs. + +\item \Cadre {[definition=subv3d]} ; +\verb+args=+ $\vec u$ $\vec v$. +différence de 2 vecteurs. + +\item \Cadre {[definition=mulv3d]} ; +\verb+args=+ $\vec u$ $\lambda $. +multiplication d'un vecteur par un réel. + +\item \Cadre {[definition=vectprod3d]} ; +\verb+args=+ $\vec u$ $\vec v$. +produit vectoriel de 2 vecteurs. + +\item \Cadre {[definition=normalize3d]} ; +\verb+args=+ $\vec u$. +Renvoie le vecteur $\Vert \vec u\Vert ^{-1} \vec u$. + +\end{itemize} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/paraboloid-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/paraboloid-couleurs.dat new file mode 100644 index 00000000000..1eaf3d68507 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/paraboloid-couleurs.dat @@ -0,0 +1,12800 @@ +(1 1 1 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc-grille-parallelepiped.pdf b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc-grille-parallelepiped.pdf Binary files differnew file mode 100644 index 00000000000..217a4ac5370 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc-grille-parallelepiped.pdf diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc-grille-parallelepiped.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc-grille-parallelepiped.tex new file mode 100644 index 00000000000..1e32620f98a --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc-grille-parallelepiped.tex @@ -0,0 +1,208 @@ +\documentclass{article} +\usepackage{pst-solides3d,pst-node,multido} +\usepackage[latin1]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[a4paper]{geometry} +\usepackage[frenchle]{babel} + + + +\date{03 octobre 2\,007} +\author{JPV \& ML} +\title{Utilisation de la \\ +grille et du parallélépipède} + +\begin{document} +\maketitle +\psset{lightsrc=100 20 50} +%\section{La \textsf{grille} et son paramètre : \textsf{base}} +Par défaut la grille au pas de 1 est dessinée sur le plan horizontal $Oxy$, elle supporte les mêmes options que les solides. +\begin{verbatim} +\psSolid[object=grille,base=-4 4 -5 5](0,0,0) +\end{verbatim} +{\psset{unit=0.5,viewpoint=100 20 20 rtp2xyz,Decran=100} +\begin{pspicture}(-5,-3.5)(5,3.5) +\psSolid[object=grille,base=-4 4 -5 5,action=draw](0,0,0) + \axesIIID(0,0,0)(4,5,3) +\rput(0,-3){\textsf{action=draw}} +\end{pspicture} +\hfill +\begin{pspicture}(-5,-3.5)(5,3.5) +\psSolid[object=grille,base=-4 4 -5 5,action=draw*,fillcolor=yellow](0,0,0) + \axesIIID(0,0,0)(4,5,3) +\rput(0,-3){\textsf{action=draw*,fillcolor=yellow}} +\end{pspicture}} + +Dans le livre \textsc{géométrie} \textit{des cours complémentaires et enseignement secondaire court} de 1\,950 (éditeur Ligel), on trouve +(page 459) la figure suivante, illustration du théorème : +\begin{center} + \psframebox[fillstyle=solid,linestyle=none,fillcolor=yellow!50]{% + \begin{minipage}{0.8\linewidth} + \textbf{Le nombre qui mesure le volume d'un parallélépipède rectangle est égal + au produit des nombres qui mesurent ses trois dimensions.} +\end{minipage}} +\end{center} +\begin{center} +\psset{viewpoint=100 20 20 rtp2xyz,Decran=100} +\begin{pspicture}(-6,-1.5)(6,5.5) +\psSolid[object=parallelepiped,a=5,b=6,c=1,fillcolor=yellow](0,0,c 2 div) +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,1) +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,4) +\psSolid[object=grille,base=-2 2 -3 3,RotY=90,action=draw](2.5,0,2) +\psSolid[object=grille,base=-2.5 2.5 -2 2,RotX=-90,action=draw](0,3,2) +\psSolid[object=cube,fillcolor=red,a=1](2,2.5,0.5) +\psSolid[object=parallelepiped,a=5,b=6,c=4,action=draw,linewidth=2\pslinewidth](0,0,c 2 div) +\psPoint(2.5,-3,0){A} +\psPoint(2.5,3,0){B} +\psPoint(-2.5,-3,0){D} +\psPoint(-2.5,3,0){C} +\psPoint(2.5,-3,4){E} +\psPoint(2.5,3,4){F} +\psPoint(-2.5,3,4){G} +\psPoint(-2.5,-3,4){H} +\uput[d](A){A}\uput[d](B){B} +\uput[dr](C){C}\uput[d](D){D} +\uput[l](E){E}\uput[r](F){F} +\uput[ur](G){G}\uput[u](H){H} +\psPoint(2.5,-3,1){a} +\psPoint(2.5,3,1){b} +\psPoint(-2.5,-3,1){d} +\psPoint(-2.5,3,1){c} +\uput[l](a){$a$}\uput[r](b){$b$} +\uput[r](c){$c$}\uput[l](d){$d$} +\end{pspicture} +\end{center} +La démonstration donnée \textit{par une réunion de professeurs} est la suivante : + +Soit ABCDEFGH un parallélépipède rectangle. Choisissons une unité $u$ qui puisse être portée un nombre exact de fois +sur chaque dimension ; soit, par exemple, 6~fois sur AB, 5~fois sur AD, 4~fois sur AE. + +On a par \textit{hypothèse} : +\[ +\mathrm{AB=6}\ ;\qquad \mathrm{AD=5}\ ;\qquad\mathrm{AE=3}. +\] +\textit{Je dis que l'on a aussi :} +\[ +V=6\times 5\times 4 +\] +En effet, par les points de division de EA, menons des plans parallèles aux bases. \textit{Nous déterminons +ainsi quatre parallélépipèdes égaux entre eux, comme ayant des bases égales et même hauteur}. + +Soit ABCD$abcd$ un de ces volumes partiels. Sa base est un rectangle qui peut être divisé en +\[ +6\times5\textrm{ carrés-unité.} +\] +Sur chacun de ces carrés on peut construire \textbf{un cube qui est, par définition, l'unité de volume.} + +Dans un parallélépipède partiel l'unité est contenue : +\[ +6\times5\textrm{ fois} +\] +Dans le parallélépipède donné elle est donc contenue : +\[ +6\times5\times4\textrm{ fois} +\] +Et on a bien : +\[ +V=6\times 5\times 4 +\] +Ce dessin est construit en 6 étapes : +\begin{enumerate} + \item On place le parallélépipède qui est à la base du parallélépipède étudié : + \begin{verbatim} +\psSolid[object=parallelepiped,a=5,b=6,c=1](0,0,c 2 div) + \end{verbatim} + en lui adjoignant, éventuellement, les options de couleur et d'éclairage : + \begin{verbatim} + [fillcolor=yellow] + \end{verbatim} +\begin{center} +\psset{viewpoint=100 20 20 rtp2xyz,Decran=100} +\begin{pspicture}(-6,-1)(6,2) +\psSolid[object=parallelepiped,a=5,b=6,c=1,fillcolor=yellow](0,0,c 2 div) +\end{pspicture} +\end{center} + \item Ensuite, on dessine les quadrillages : + \begin{itemize} + \item sur la face supérieure du parallélépipède ``\textit{socle}'' ; + \begin{verbatim} +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,1) + \end{verbatim} +\begin{center} +\psset{viewpoint=100 20 20 rtp2xyz,Decran=100} +\begin{pspicture}(-6,-1)(6,2) +\psSolid[object=parallelepiped,a=5,b=6,c=1,fillcolor=yellow](0,0,c 2 div) +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,1) +\end{pspicture} +\end{center} + \item sur les faces latérales visibles de ce même parallélépipède : + \begin{verbatim} +\psSolid[object=grille,base=-2 2 -3 3,RotY=90,action=draw](2.5,0,2) +\psSolid[object=grille,base=-2.5 2.5 -2 2,RotX=-90,action=draw](0,3,2) + \end{verbatim} +\begin{center} +\psset{viewpoint=100 20 20 rtp2xyz,Decran=100} +\begin{pspicture}(-6,-1)(6,4) +\psSolid[object=parallelepiped,a=5,b=6,c=1,fillcolor=yellow](0,0,c 2 div) +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,1) +\psSolid[object=grille,base=-2 2 -3 3,RotY=90,action=draw](2.5,0,2) +\psSolid[object=grille,base=-2.5 2.5 -2 2,RotX=-90,action=draw](0,3,2) +\end{pspicture} +\end{center} + \item sur la face supérieure du parallélépipède étudié. + \begin{verbatim} +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,4) + \end{verbatim} +\begin{center} +\psset{viewpoint=100 20 20 rtp2xyz,Decran=100} +\begin{pspicture}(-6,-1)(6,5) +\psSolid[object=parallelepiped,a=5,b=6,c=1,fillcolor=yellow](0,0,c 2 div) +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,1) +\psSolid[object=grille,base=-2 2 -3 3,RotY=90,action=draw](2.5,0,2) +\psSolid[object=grille,base=-2.5 2.5 -2 2,RotX=-90,action=draw](0,3,2) +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,4) +\end{pspicture} +\end{center} + \end{itemize} +\item on dessine le cube unité : + \begin{verbatim} +\psSolid[object=cube,fillcolor=red,a=1](2,2.5,0.5) + \end{verbatim} +\begin{center} +\psset{viewpoint=100 20 20 rtp2xyz,Decran=100} +\begin{pspicture}(-6,-1)(6,5) +\psSolid[object=parallelepiped,a=5,b=6,c=1,fillcolor=yellow](0,0,c 2 div) +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,1) +\psSolid[object=grille,base=-2 2 -3 3,RotY=90,action=draw](2.5,0,2) +\psSolid[object=grille,base=-2.5 2.5 -2 2,RotX=-90,action=draw](0,3,2) +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,4) +\psSolid[object=cube,fillcolor=red,a=1](2,2.5,0.5) +\end{pspicture} +\end{center} + \item on complète le dessin par le parallélépipède étudié, dessiné avec un trait plus épais : + \begin{verbatim} +\psSolid[object=parallelepiped,a=5,b=6,c=4,% + linewidth=2\pslinewidth,% + action=draw](0,0,c 2 div) + \end{verbatim} +\begin{center} +\psset{viewpoint=100 20 20 rtp2xyz,Decran=100} +\begin{pspicture}(-6,-1)(6,5) +\psSolid[object=parallelepiped,a=5,b=6,c=1,fillcolor=yellow](0,0,c 2 div) +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,1) +\psSolid[object=grille,base=-2 2 -3 3,RotY=90,action=draw](2.5,0,2) +\psSolid[object=grille,base=-2.5 2.5 -2 2,RotX=-90,action=draw](0,3,2) +\psSolid[object=grille,base=-2.5 2.5 -3 3,action=draw](0,0,4) +\psSolid[object=cube,fillcolor=red,a=1](2,2.5,0.5) +\psSolid[object=parallelepiped,a=5,b=6,c=4,linewidth=2\pslinewidth,action=draw](0,0,c 2 div) +\end{pspicture} +\end{center} + \item Les étapes suivantes consistent à annoter le schéma : + \begin{verbatim} +\psPoint(2.5,-3,0){A} +\psPoint(2.5,3,0){B} +\uput[d](A){A}\uput[d](B){B} +etc. + \end{verbatim} +\end{enumerate} +\end{document} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc-solidespro.pdf b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc-solidespro.pdf Binary files differnew file mode 100644 index 00000000000..a5f37e8f62c --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc-solidespro.pdf diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc-solidespro.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc-solidespro.tex new file mode 100644 index 00000000000..36bd60418d4 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc-solidespro.tex @@ -0,0 +1,121 @@ +%% a compiler avec eplain +\input format-jpv +%\bookstyle +\footline {\hfill \the \pageno \hfill } +\titrestyle {\twentybf} +\titre {Le fichier solides.pro\\ \tenrm version 3.02, 15 janvier 2008} + +\def \listingpath {% + /home/jp/src/postscript/jps/ml/pst-solides3d/travail/} + +Ce document présente le fichier |solides.pro| utilisé pour le package +PSTricks {\sl pst-solides3d}% +\footnote +{$^{(*)}$}{|melusine.eu.org/syracuse/pstricks/pst-solides3d/|}. +Une grande partie de ce fichier est synchrnoisée avec la \og librairie +jps\fg {} utilisée pour le logiciel {\sl jps2ps}% +\footnote +{$^{(**)}$}{|melusine.eu.org/syracuse/bbgraf/|}. +Cette librairie est consultable à l'url~: +|melusine.eu.org/syracuse/bbgraf/jps2ps/pps/src.xml|. + +Lorsque le fichier |solides.pro| contient une ligne avec l'expression +|### |{\sl file\/}| ###|, cela signifie que les lignes qui suivent +sont synchronisées avec le fichier \hfill \break +|melusine.eu.org/syracuse/bbgraf/jps2ps/pps/|{\sl file\/}|.pps|. + +\paragraphe {En-têtes, initialisations de variables globales} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{1}{51} + +\paragraphe {Déclaration d'une fonte accentuée} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{52}{61} + +\paragraphe {Définitions des couleurs} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{62}{149} + +\paragraphe {Passage coordonnées 3d en coordonnées 2d} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{151}{200} + +\paragraphe {Transcription PSTricks --> jps} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{201}{207} + +\paragraphe {Pour l'option algebraic} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{208}{227} + +\paragraphe {Géométrie 2d basique} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{228}{286} + +\paragraphe {Insertion librairie jps} + +\sparagraphe {Le repère utilisateur (repère jps)} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{287}{379} + +\sparagraphe {Routines de tests} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{380}{453} + +\sparagraphe {Conversions de types} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{454}{518} + +\sparagraphe {Projection de chaînes de caractères} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{519}{591} + +\sparagraphe {Appliquer une transformation à un chemin} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{592}{659} + +\sparagraphe {Base orthonormale à partie de la normale} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{660}{747} + +\sparagraphe {Projection d'un chemin} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{748}{845} + +\sparagraphe {Courbes de fonctions} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{846}{1168} + +\sparagraphe {Constantes et fonctions mathématiques} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{1169}{1263} + +\sparagraphe {Divers} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{1264}{1479} + +\sparagraphe {Routines sur les tableaux} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{1480}{1869} + +\sparagraphe {Matrices} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{1870}{1905} + +\sparagraphe {Routines pour le calcul 3d} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{1906}{2214} + +\sparagraphe {Routines pour le dessin 3d} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{2215}{2282} + +\sparagraphe {Gestion des chemins définis par des chaînes de caractères} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{2283}{2428} + +\sparagraphe {Routines pour le calcul sur le type solid} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{2429}{3429} + +\sparagraphe {Routines pour le dessin d'un objet de type solid} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{3430}{3793} + +\sparagraphe {Le cube tronqué} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{3794}{3879} + +\vfill \eject +\sparagraphe {Les solides prédéfinis} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{3880}{5190} + +\paragraphe {Gestion des chaînes de caractère} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{5191}{5245} + +\vfill \eject +\paragraphe {Interfaçage avec PSTricks} + +\sparagraphe {Interface pour la macro |psSolid|} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{5246}{5721} + +\vfill \eject +\sparagraphe {Interface pour la macro |psProjection|} +\partiallisting 0 {solides.pro}{Le fichier solides.pro}{5722}{6000} + +\bye diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.bib b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.bib new file mode 100644 index 00000000000..70b71bd6661 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.bib @@ -0,0 +1,99 @@ +%% -*-bibtex-*- +@STRING{tugboat = {TUGboat} } +@STRING{dtk = {{D}ie {\TeX}nische {K}om{\"o}die} } + +@Book{casselman05, + author = {Bill Casselman}, + title = {Mathematical {I}llustrations -- a manual of geometry and {P}ost{S}cript}, + edition = {first}, + publisher = {Cambridge University Press}, + year = {2005}, + address = {Cambridge}, +} + + +@Book{PSTricks2, + author = {Herbert Vo\ss}, + title = {{PSTricks,} {G}rafik f\"ur \TeX{} und \LaTeX}, + edition = {forth}, + publisher = {DANTE -- Lehmanns}, + year = {2007}, + address = {Heidelberg/Hamburg} +} + +@Book{companion04, + author = {Frank Mittelbach and Michel Goosens et al}, + title = {The {\LaTeX} {C}ompanion}, + edition = {second}, + publisher = {Addison-Wesley Publishing Company}, + year = {2004}, + address = {Boston} +} + +@Book{unbound, + author = {Alan Hoenig}, + title = {\TeX{} {U}nbound: \LaTeX{} \& \TeX{} {S}trategies, {F}onts, {G}raphics, and {M}ore}, + publisher = {Oxford University Press}, + year = {1998}, + address = {London} +} + +@Book{tlgc2, + author = {Michel Goosens and Frank Mittelbach and Sebastian Rahtz and Denis Roegel and Herbert Vo{\ss}}, + title = {The {\LaTeX} {G}raphics {C}ompanion}, + publisher = {{Addison-Wesley Publishing Company}}, + edition = second, + year = {2007}, + address = {Reading, Mass.} +} + +@Article{girou:01:, + author = {Denis Girou}, + title = {Pr\'esentation de {PST}ricks}, + journal = {Cahier {GUT}enberg}, + year = 1994, + volume = {16}, + month = apr, + pages = {21-70} +} + +@Article{girou:02:, + author = {{Timothy Van} Zandt and Denis Girou}, + title = {Inside {PST}ricks}, + journal = TUGboat, + year = 1994, + volume = {15}, + month = sep, + pages = {239-246} +} + +@MISC{xkeyval, + author = {Hendri Adriaens}, + title = {xkeyval package}, + howpublished = {\url{CTAN:/macros/latex/contrib/xkeyval}}, + year = 2004 +} + +@Article{rahtz:96-1, + author = {Sebastian Rahtz}, + title = {An introduction to {PST}ricks, part {I}}, + journal = {Baskerville}, + address = {\url{CTAN: /usergrps/uktug/baskervi/}}, + year = 1996, + volume = 6, + number = 1, + month = feb, + pages = {22-34} +} +@Article{rahtz:96-2, + author = {Sebastian Rahtz}, + title = {An introduction to {PST}ricks, part {II}}, + journal = {Baskerville}, + address = {\url{CTAN: /usergrps/uktug/baskervi/}}, + year = 1996, + volume = 6, + number = 2, + month = apr, + pages = {23-33} +} + diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.pdf b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.pdf Binary files differnew file mode 100644 index 00000000000..c2f4490d3dc --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.pdf diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.tex b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.tex new file mode 100644 index 00000000000..6a7e51cc00e --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/pst-solides3d-doc.tex @@ -0,0 +1,352 @@ +\documentclass{book} +\usepackage[dvipsnames,svgnames]{pstricks} +\usepackage{pst-plot,pst-eucl} +\usepackage{pstricks-add,pst-solides3d} +\let\PSTfileversion\fileversion +\let\PSTfiledate\filedate +\usepackage[latin1]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{manfnt} +\usepackage[garamond]{mathdesign} +\renewcommand{\ttdefault}{lmtt} +\usepackage{colortbl} +\usepackage{multicol} +\usepackage{longtable} +\usepackage{array} +\usepackage{amsmath} +\usepackage{arrayjob} +\usepackage{url} +\usepackage[a4paper,dvips,hmargin=2cm,vmargin=3cm]{geometry} +\usepackage[colorlinks=true,dvips]{hyperref} +\usepackage{showexpl} +\usepackage{ragged2e} +\usepackage{framed} +\usepackage[frenchb]{babel} +\listfiles +\DeclareFixedFont{\timesnormal}{T1}{ptm}{m}{n}{2cm} +\raggedbottom +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% de nouvelles flèches de Christophe FOUREY +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\makeatletter +% http://tug.org/mailman/htdig/pstricks/2007/004294.html +% v : Vee arrow (inside) +% V : Vee arrow (outside) +% f : Filled vee arrow (inside) +% F : Filled vee arrow (outside) +\edef\pst@arrowtable{\pst@arrowtable,v-v,V-V,f-f,F-F} + +% Vee arrow +\def\psset@veearrowlength#1{\pst@getlength{#1}\psk@veearrowlength} +\psset@veearrowlength{3mm} % default projected length +\def\psset@veearrowangle#1{\pst@getangle{#1}\psk@veearrowangle} +\psset@veearrowangle{30} % default angle +\def\psset@veearrowlinewidth#1{\pst@getlength{#1}\psk@veearrowlinewidth} +\psset@veearrowlinewidth{.35mm} % default vee arrow line width + +% Filled vee arrow +\def\psset@filledveearrowlength#1{\pst@getlength{#1} +\psk@filledveearrowlength} +\psset@filledveearrowlength{3mm} % default projected length +\def\psset@filledveearrowangle#1{\pst@getangle{#1} +\psk@filledveearrowangle} +\psset@filledveearrowangle{15} % default angle +\def\psset@filledveearrowlinewidth#1{\pst@getlength{#1} +\psk@filledveearrowlinewidth} +\psset@filledveearrowlinewidth{.35mm} % default vee arrow line width + +\pst@def{VeeArrow}<% + 1 setlinecap % round caps + 1 setlinejoin % round join + setlinewidth % vee arrow line width + /y ED % projected length + 2 div /a ED % angle (divide by 2) + /t ED % false = inside, true = outside + a sin a cos div y mul /x ED % perpendicular length : x=tan(a).y + t { 1 -1 scale } if % if outside : symmetry + x neg y moveto % point #1 + 0 0 L % point #2 + x y L % point #3 + {closepath gsave fill grestore} if % if filled : close and fill + stroke % draw line + 0 t {y 2 mul} {0} ifelse moveto> % if outside : twice longer line + +% VeeArrow : filled? outside? (total) angle (projected) length (arrow) line width + +\@namedef{psas@v}{% + false false \psk@veearrowangle \psk@veearrowlength +\psk@veearrowlinewidth \tx@VeeArrow} + +\@namedef{psas@V}{% + false true \psk@veearrowangle \psk@veearrowlength +\psk@veearrowlinewidth \tx@VeeArrow} + +\@namedef{psas@f}{% + true false \psk@filledveearrowangle \psk@filledveearrowlength +\psk@filledveearrowlinewidth \tx@VeeArrow} + +\@namedef{psas@F}{% + true true \psk@filledveearrowangle \psk@filledveearrowlength +\psk@filledveearrowlinewidth \tx@VeeArrow} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% adapté de \psRandom du package pstricks-add +%% pour rendre aléatoire la taille des étoiles +%% Manuel Luque +\newdimen\pssizeStar +\def\psset@sizeStar#1{\pssetlength\pssizeStar{#1}} +\psset@sizeStar{1pt} +\def\psRandomStar{\pst@object{psRandomStar}}% +\def\psRandomStar@i{\@ifnextchar({\psRandomStar@ii}{\psRandomStar@iii(0,0)(1,1)}} +\def\psRandomStar@ii(#1){\@ifnextchar({\psRandomStar@iii(#1)}{\psRandomStar@iii(0,0)(#1)}} +\def\psRandomStar@iii(#1)(#2)#3{% + \def\pst@tempA{#3}% + \ifx\pst@tempA\pst@empty\psclip{\psframe(#2)}\else\psclip{#3}\fi + \pst@getcoor{#1}\pst@tempA + \pst@getcoor{#2}\pst@tempB + \begin@SpecialObj + \addto@pscode{ + \pst@tempA\space /yMin exch def + /xMin exch def + \pst@tempB\space /yMax exch def + /xMax exch def + /dy yMax yMin sub def + /dx xMax xMin sub def + rrand srand % initializes the random generator + /getRandReal { rand 2147483647 div } def + \psk@randomPoints { + /DS \pst@number\pssizeStar\space getRandReal mul def + \@nameuse{psds@\psk@dotstyle} + \ifPst@color getRandReal 1 1 sethsbcolor \fi + getRandReal dx mul xMin add + getRandReal dy mul yMin add + Dot + \ifx\psk@fillstyle\psfs@solid fill \fi stroke + } repeat + }% + \end@SpecialObj + \endpsclip + \ignorespaces +} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% macro H.Voss sur : +%%http://tug.org/mailman/htdig/pstricks/2007/004640.html + +\def\GetCenter#1{ tx@NodeDict begin /N@#1 load GetCenter end + \pst@number\psyunit div /#1.y ED + \pst@number\psxunit div /#1.x ED } +\makeatother +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% Jean-Michel Sarlat et Guillaume Connan +\newenvironment{gbar}{% + \def\FrameCommand{{\color{red}\vrule width 2pt}\colorbox{yellow!30}}% + \MakeFramed {\advance\hsize-\width \FrameRestore}}% +{\endMakeFramed} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\newcommand\Cadre[1]{\psframebox[fillstyle=solid,fillcolor=yellow,linecolor={[cmyk]{0,0,1,0.1}}]{\texttt{#1}}} +\newcommand\encadre[1]{\begin{center} +\psframebox[fillstyle=solid,fillcolor=green!33,linecolor=green,linewidth=0.5mm]{ + \begin{minipage}{0.95\textwidth} + {#1} + \end{minipage}} + \end{center}} + +\newcommand\toptableau{ +\rowcolor{yellow} + \textbf{solide} & \begin{tabular}{c} + \textbf{paramètres}\\ + \textbf{par défaut} + \end{tabular} & + \begin{minipage}{4cm} + \centerline{\textbf{vue}} + \end{minipage}& + \begin{minipage}{4cm} + \centerline{\textbf{code}} + \end{minipage}} + +\newarray\colors +\readarray{colors}{% +Apricot&Aquamarine% +&Bittersweet&Black&Blue&BlueGreen&BlueViolet&BrickRed&Brown&BurntOrange% +&CadetBlue&CarnationPink&Cerulean&CornflowerBlue&Cyan&Dandelion&DarkOrchid% +&Emerald&ForestGreen&Fuchsia&Goldenrod&Gray&Green&GreenYellow&JungleGreen% +&Lavender&LimeGreen&Magenta&Mahogany&Maroon&Melon&MidnightBlue&Mulberry% +&NavyBlue&OliveGreen&Orange&OrangeRed&Orchid&Peach&Periwinkle&PineGreen% +&Plum&ProcessBlue&Purple&RawSienna&Red&RedOrange&RedViolet&Rhodamine&RoyalBlue% +&RoyalPurple&RubineRed&Salmon&SeaGreen&Sepia&SkyBlue&SpringGreen&Tan&TealBlue% +&Thistle&Turquoise&Violet&VioletRed&White&WildStrawberry&Yellow&YellowGreen&YellowOrange} + + +\edef\colorfaces{}% +\multido{\i=0+1}{67}{% + \checkcolors(\i) +\xdef\colorfaces{\colorfaces\i\space(\cachedata)\space}} + +\definecolor{bleuciel}{rgb}{0.78,0.84,0.99} + +% pour le dessin du point de vue +\def\PointEcran(#1,#2,#3)#4{% position du point sur l'écran +\pstVerb{/xM #1 def /yM #2 def /zM #3 def + /kC dE dup mul xM xE mul yM yE mul zM zE mul add add sub + xV xE mul xM xE mul sub + yV yE mul yM yE mul sub add + zV zE mul zM zE mul sub add + div def + /x_E kC xV xM sub mul xM add def + /y_E kC yV yM sub mul yM add def + /z_E kC zV zM sub mul zM add def}% +\psPoint(x_E,y_E,z_E){#4}} + + +\def \datapath {% +% ../doc/} +} + +\title{\texttt{pst-solides3d} :\\ + guide de l'utilisateur + \\[0.5cm] +{\normalsize v. \PSTfileversion\ (\PSTfiledate)}\\ +\input \datapath tintin +%\input \datapath init3d +} +\author{Jean-Paul \textsc{Vignault}, Manuel \textsc{Luque}, Arnaud +\textsc{Schmittbuhl}\\ +{\small + \url{<jpv@melusine.eu.org>}, \url{<manuel.luque27@gmail.com>}, + \url{<aschmittbuhl@libertysurf.fr>}} +\thanks{Avec la collaboration de : + Jürgen \textsc{Gilg}\url{<gilg@acrotex.net>}, + Jean-Michel \textsc{Sarlat}\url{<jm.sarlat@gmail.com>}, + Herbert \textsc{Voss}\url{<Herbert.Voss@FU-Berlin.DE>}.}} +\date{15 juillet 2\,008} +\begin{document} +\maketitle + + +%\input[tore-damier} +%\input{methane} +%\input{anneaux} +%\vfill +%\input{S2O3} +%\input \datapath init3d +%\vfill +%\newpage +\tableofcontents + +\newpage + +%\end {document} + +\input \datapath par-constitution +\input \datapath par-preambule +\input \datapath par-presentation +\input \datapath par-changements + + +\chapter{Commandes de bases} +\input \datapath par-choixpointdevue +\input \datapath par-axes3D +\newpage +\input \datapath par-solidespredefinis +\input \datapath par-positionnersolide + + +\chapter{Les options de \textbackslash{}psSolid} +\input \datapath par-commandestrace +\input \datapath par-solidescreux +\input \datapath par-numeroterfacettes +\input \datapath par-enleverfacettes +\input \datapath par-pointagesommets + +\input \datapath par-couleurs +\input \datapath par-colorierfacettes +\input \datapath par-opacity +\input \datapath par-definitionmaillage +\input \datapath par-modes + +\input \datapath par-eclairageponctuel +\input \datapath par-tronque +\input \datapath par-affinage +\input \datapath par-chanfrein +\input \datapath par-transform +\input \datapath par-lignedeniveau + + +\chapter{Utilisation de fichiers externes} +\input \datapath par-datfile +%\input \datapath par-offfile +%\input \datapath par-objfile + +\chapter{Quelques objets spécifiques} +%\input \datapath par-grille +\input \datapath par-plan +\input \datapath par-vecteur +\input \datapath par-point +\input \datapath par-geode + + +\chapter{Fabriquer de nouveaux solides} +\input \datapath par-codejps +\input \datapath par-definirfonction + +\input \datapath par-courbeR3 +\input \datapath par-tube +\input \datapath par-prisme +\input \datapath par-new +\input \datapath par-face +\input \datapath par-ruban +%\newpage +\input \datapath par-anneaux +\input \datapath par-cylindres-cones +\input \datapath par-surfacesparametrees + + +\chapter{Surfaces définies par une fonction $z=f(x,y)$} +\input \datapath par-surfaces + + +\chapter{Utilisation avancée} +\input \datapath par-nommersolide +\input \datapath par-section +\input \datapath par-fusion +\input \datapath par-fusionjps + + +\chapter{Interaction avec PSTricks} +\input \datapath par-positionnerpointconnu +\input \datapath par-ligne3D +\input \datapath par-tracerpolygone +\input \datapath par-transformpointconnu +\input \datapath par-annoterschema +%%\input \datapath par-composervue + + +\chapter{Projections} +\input \datapath par-projpresentation +\input \datapath par-projectionvisibility +\input \datapath par-definirplanquelconque +\input \datapath par-projectionpoint +\input \datapath par-projectionvecteur +\input \datapath par-projectiondroite +\newpage +\input \datapath par-projectioncercle +\input \datapath par-projectionpolygone +\input \datapath par-projectionligne +\newpage +\input \datapath par-projectionangledroit +%% \input \datapath par-definirfacesolideproj %% destroy +\input \datapath par-projectioncourbe +%% \input \datapath par-projectionchemin +\input \datapath par-projectiontexte + +\chapter{Annexe} +\input \datapath par-parametres + +\nocite{*} +\bgroup +\RaggedRight +\bibliographystyle{plain} +\bibliography{pst-solides3d-doc} +\egroup + +\end{document} diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/rocket.obj b/Master/texmf-dist/doc/generic/pst-solides3d/doc/rocket.obj new file mode 100644 index 00000000000..298ef23c541 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/rocket.obj @@ -0,0 +1,356 @@ +v 0.007667 0.136523 -0.000000
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diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/slicePyramid-couleurs.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/slicePyramid-couleurs.dat new file mode 100644 index 00000000000..31df6430d76 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/slicePyramid-couleurs.dat @@ -0,0 +1,6 @@ +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/slicePyramid-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/slicePyramid-faces.dat new file mode 100644 index 00000000000..8b2edcbc3fb --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/slicePyramid-faces.dat @@ -0,0 +1,6 @@ +[1 2 3 0 ] +[5 1 0 4 ] +[6 2 1 5 ] +[7 3 2 6 ] +[4 0 3 7 ] +[4 7 6 5 ] diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/slicePyramid-io.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/slicePyramid-io.dat new file mode 100644 index 00000000000..f391be39b0b --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/slicePyramid-io.dat @@ -0,0 +1 @@ +0 5 -1 -1
\ No newline at end of file diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/slicePyramid-sommets.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/slicePyramid-sommets.dat new file mode 100644 index 00000000000..586409421f6 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/slicePyramid-sommets.dat @@ -0,0 +1,8 @@ +0.0 -1.2 2.0 +2.4 0.0 2.0 +0.0 2.4 2.0 +-1.2 0.0 2.0 +0.0 -1.6 1.0 +3.2 0.0 1.0 +0.0 3.2 1.0 +-1.6 0.0 1.0 diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/sommets_nefer.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/sommets_nefer.dat new file mode 100644 index 00000000000..ecdc368742f --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/sommets_nefer.dat @@ -0,0 +1,654 @@ +-3.57593 2.97301 -2.14324 +-3.44017 2.68453 -2.07536 +-3.60987 2.71847 -2.34687 +-3.72865 3.10876 -2.29596 +-3.74562 3.15967 -1.95657 +-3.57593 2.87119 -1.87173 +-3.49108 2.46392 -1.90566 +-3.28745 2.71847 -1.6165 +-3.32139 2.34514 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) 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setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) +(1 1 1 setrgbcolor) diff --git a/Master/texmf-dist/doc/generic/pst-solides3d/doc/tore1860part-faces.dat b/Master/texmf-dist/doc/generic/pst-solides3d/doc/tore1860part-faces.dat new file mode 100644 index 00000000000..87ade361b57 --- /dev/null +++ b/Master/texmf-dist/doc/generic/pst-solides3d/doc/tore1860part-faces.dat @@ -0,0 +1,989 @@ +[1026 1027 1028 1022 1023 1020 1018 1014 1015 1012 1010 1008 1006 1004 1002 999 998 996 994 991 990 986 985 984 982 981 983 989 988 987 993 992 995 997 1001 1000 1003 1005 1007 1009 1011 1013 1016 1017 1019 1021 1024 1025 1029 1030 1031 1032 ] +[1 0 18 19 ] +[2 1 19 20 ] +[3 2 20 21 ] +[4 3 21 22 ] +[5 4 22 23 ] +[6 5 23 24 ] +[7 6 24 25 ] +[8 7 25 26 ] +[9 8 26 27 ] +[10 9 27 28 ] 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